Ion acceleration using synchrocyclotrons is a mature technology that is well suited to produce high energy, but relatively low average ion beam currents. Acceleration is achieved by applying high frequency (typically radio frequency (RF)) electric fields to an ion beam packet as it spirals outward from the center of an axisymmetric, static magnetic field. It is well known that the frequency of the RF drive in synchrocyclotrons needs to be adjusted as the ion beam is being accelerated. The RF drive can be extended to include the variable frequency RF generator, RF power amplifier or amplifiers, and a structure or structures inside the magnetic field (such as RF cavities or dees) where the acceleration electric field is applied to the ion beam packet. Because the RF frequency varies during acceleration, typically there is only one bunch of ions in the device at any one time. The cyclotron frequency varies to compensate for changes to the relativistic mass of the accelerated particles as their energy increases during acceleration and the fact that the magnetic field is varying radially in order to provide beam focusing. The magnetic field in the bore of the machine needs to satisfy the following requirements for orbit stability. The value of the magnetic field needs to decrease with increasing radius, while keeping the value of
0<2νz<0.5νr
where
νz=n1/2,
νr=(1−n)1/2,
and
n=−d log(B)/d log(r)
over the accelerating region, and it needs to rise quickly with radius in the extraction region.
A body of literature exists on the control of the frequency of the RF acceleration. The object of the prior art has been to adjust the RF frequency to match the cyclotron frequency of the ion beam, while monitoring changes to the beam current after extraction. In addition, another object of the prior art has been to match a resonant circuit and the RF drive that it generates to the required frequency. No effort has been made to either monitor the phase of the ion beam orbits relative to the phase of the RF drive, or to adjust the phase and amplitude of the RF drive and the ion beam during injection, acceleration or extraction. In this case, the amplitude of the RF drive actually refers to the magnitude of the acceleration electric field applied to the beam by the RF structures. It is well known that if the relative phase between the ion beam orbit and the RF drive results in a substantial phase difference, the RF drive does not increase the beam energy, but instead decreases the energy of the ion beam by extracting energy from it. The ion beam continues to lose energy until it has drifted enough in phase and frequency to again match that of the RF drive: as the particles are decelerating, they are moving into regions of increasing magnetic field (at smaller radii) that require increased frequency for synchronism, but the applied RF field is decreasing in frequency, so the particles eventually slow down enough to the point where they are again in phase with the RF field and resume acceleration. Although eventually the beam packet gets accelerated, the beam quality suffers and the average beam current decreases. It would be best if the phase of the RF drive and the phase of the beam orbits were synchronized throughout the injection, acceleration and extraction process, especially for conditions where the final beam energy is varied (by adjusting the current in the cyclotron coils). For operation, the currents in all the coils in the cyclotron are varied by the same ratio which is adjusted in order to vary the final energy of the beam. It is usually that only about 50% of the electric field from the RF drive is accessible for beam acceleration in a conventional machine.
For synchrocyclotrons that use significant quantities of iron to generate and shape the acceleration field, changes to the coil currents (for example, to change the beam energy) change not only the intensity of the magnetic field, but also the magnetic field profile. Thus, an iron containing cyclotrons is not suitable for producing beams where the extracted beam energy can be varied, without the use of energy degraders or internal targets (for adjusting the charge of the ions).
In synchrocyclotrons, the beam orbits are controlled by the RF drive. This is the case when the frequency of the RF drive varies slowly. When the frequency of the RF increases rapidly (for example, when larger average currents are desired), the beam can lose synchronization with the RF energy, with results being very small acceleration or no current at all. In addition, it would be beneficial to control the RF phase and amplitude during both the injection of the ion beam as well as during the extraction. Injection control can be adjusted externally by pre-bunching the beam, so that it matches the acceptance angle of the cyclotron accelerating field. Control of the pre-buncher would, of course, be coordinated with the phase of the RF drive applied during the initial beam orbits of the acceleration cycle. However, for extraction, the opportunities are very limited. Adjustment of ion energy, phase and location of the ion beam during the last few orbits prior to extraction would allow better extraction efficiencies and minimize loss of beam that impacts radiation safety, heating and radiation damage to internal components. The ability to precisely control beam extraction in synchrocyclotrons is especially important for iron-free machines which can be designed to deliver output beams over a wide range of energies from a single machine without need for energy degraders in the output beam path (through the variation of the current in the cyclotron coils).
Therefore, it is a goal of the present disclosure to be able to directly vary the final energy of the beam extracted from a single cyclotron. A further objective is to maintain a high extraction efficiency regardless of the final beam energy. The variable energy is facilitated by the variation of the current in the cyclotron coils and adjustment of the main fields in the cyclotron. The final beam energy is a function of the magnitude of the magnetic field in the cyclotron.
Phase lock loop techniques are useful to assure that the beam is extracted efficiently. One means to achieve high extraction efficiency as the energy is varied is to adjust the amplitude, phase (with respect to the beam) and frequency of the RF drive based on continuous monitoring of beam position so that the beam trajectory throughout the acceleration process remains the same regardless of the final beam energy.
A proposed embodiment of the invention specifies phase-locked loop control of at least one of the RF drive, the injection circuit and the extraction circuit, whereby the RF drive (phase, frequency and amplitude), the injection and extraction circuits are controlled throughout the beam injection, acceleration and/or extraction process using information on the beam status. The control loop encompasses the injection of beam packets into the device with proper phase relation relative to the RF acceleration drive and controlled, high-efficiency extraction of an ion beam of desired final energy.
According to another embodiment, a method of creating and extracting an ion beam having a predetermined energy from a cyclotron is disclosed. The method comprises introducing ions into the cyclotron; using a RF drive to accelerate the ions to move as an ion beam in the cyclotron; sensing a position of the ion beam in the cyclotron during the acceleration; using the position of the ion beam to alter the RF drive to maintain a desired acceleration; and actuating a non-axisymmetric pulsed magnetic field (kicker field) to extract the ion beam.
According to another embodiment, a cyclotron is disclosed, which comprises a beam detector disposed so as to detect the presence of an ion beam; a beam sensor in communication with the beam detector; a RF wave generator having a variable phase or frequency output; the output defined as RF drive; a RF cavity or dee in communication with the RF drive; and an electronic control unit in communication with the beam sensor and having outputs in communication with the RF wave generator so as to control the RF drive, thereby controlling velocity and position of the ion beam. In this context the electronic control unit can comprise analog circuits, digital circuits and processors or more typically a hybrid combination of both. In a further embodiment, the cyclotron further comprises a kicker coil to generate a non-axisymmetric pulsed magnetic field to extract the ion beam. In one embodiment, the electronic control unit is in communication with the kicker coil, and actuates the kicker coil when the ion beam reaches a predetermined position and velocity.
For a better understanding of the present disclosure, reference is made to the accompanying drawings, which are incorporated herein by reference and in which:
To determine the beam location and to optimally accelerate, inject and extract the ions, it is desired to synchronize the phase of the RF drive to that of the ion beam orbit, and to adjust the amplitude of the RF field. The steps used for synchronization are described below. The phase of the RF drive, although fixed at the source, varies across the gap (which is defined as the space across the dee's of the device), due to the finite velocity of propagation of the electromagnetic waves and because the acceleration gap can be other than a radial (such as an accelerating gap that varies azimuthal direction as a function of radius). The dee's are electrodes used to generate the RF drive. Although the term “dee” may be used herein, it is understood that this term refers to any mechanism by which RF drive can be injected into the system. In some embodiments, an alternative to the use of dee's is the use of RF cavities. Therefore, unless otherwise indicated, the term “dee” is used to represent both dee's and RF cavities.
At each radial location, the phase of the RF drive can be identified as ΔφRF. It is understood that the phase is a function of the radius of the beam. ΔφRF is the phase shift of the RF drive, at any given time, from that of the source. It should be noted that ΔφRF is a function of the radial location of the beam (that is, the energy of the ion beam), depending on how the RF is feed to the accelerating dee's.
To optimally accelerate the ion beam, it is necessary to monitor the real-time phase of the ion beam. It is assumed that the ion beam passes through the detector at times tbeam+Σ(2π/ωn), where ωn is the cyclotron frequency at the radial location of the ion beam (at the nth turn). As in the case of the RF drive, there is a phase lag between when the ion beam excites the monitoring device (the “detector”), and the point of detection of the phase (the “sensor”). It should be understood that there can be more than one detector element, which, when combined, are identified as “detector.” In addition, the azimuthal location of the beam monitoring device is separate from that of the RF drive. The delay from the detector to the sensor is defined as tsensor. It is assumed that the phase of the RF wave, at the source, at the time when the ion beam is sensed by the system is φsource. Thus, the electric field at the RF source when the ion beam is sensed by the system is
Esource=exp[iω(tbeamΣ(2π/ωn)+tsensor)+iφsource]
In particular, it may be desirable to measure the ion beam phase in an azimuthal location that is under the ground electrode, to minimize signal pick-up due to the RF drive.
After the ion beam crosses the detector, there is a delay until the ion beam reaches the accelerating gap, referred to as tbeam-gap. The RF field in the gap, when the beam crosses the gap, is then
Egap beam crossing=exp[i(tbeam+Σ(2π/ωn)+tbeam-gap)+iφsource−i-ΔφRF]
The negative sign in the RF term is due to the fact that the RF drive at the gap lags the RF drive at the source, by ΔφRF.
To maximize the acceleration of the ion beam in a synchrocyclotron, the phase of the RF drive needs to remain synchronized with that of the ion beam orbit. It is known that a relatively narrow range of phase results in the best acceleration of the ion beam, with good phase stability. In particular, the ion beam should cross the accelerating gap while the electric field in the gap is increasing. In this manner, the particles that are lagging the bulk of the beam will be accelerated stronger than the bulk, and they will catch up to the bulk. Similarly, those ahead of the bulk will experience lower electric fields, and thus they will be accelerated less than the bulk and slow down until the bulk catches up with them. The optimal phase of the electric field in the gap for acceleration of the beam is referred to as φoptimal.
Thus, it is desired that the phase of the RF drive, when the beam reaches the gap, is:
ω(tbeam+Σ(2π/ωn)+tbeam-gap)+φsource−ΔφRF=φoptimal
Thus, φsource can be obtained as:
φsource=φoptimal+ΔφRF−ω(tbeam+Σ(2π/ωn)+tbeam-gap)
Then, the phase of the RF drive at the source, at the time that the ion beam is sensed by the system, should be
φsensor+φoptimal+ΔφRF−φbeam-gap
where φsensor=ωtsensor and is the phase lag between when the ion beam is sensed by the system and when the ion beam crosses the detector, and φbeam-gap=ωtbeam-gap is the phase lag required for the ion beam to reach the accelerating gap after it passes the detector. φbeam-gap is therefore just the angle between the location of the detector and the location of the gap.
It is to be understood that the above algorithm is illustrative and that alternative, equally effective, formulations to control the phase are possible. In general, the phase at the source that optimizes the beam acceleration is a function of these parameters:
φsource=f(φsensor,φbeam-gap,φBeam,φRF,φoptimal)
The control system of the RF drive uses a feedback system in order to control the phase and amplitude at the gap, keeping it near optimum at all times during the acceleration, injection and extraction process. The phase varies slowly compared to the beam rotation, as it takes time to effect changes in phase in resonant circuits. It is possible, however, to vary the frequency of the resonant circuit to achieve faster adjustment of phase.
As described above, in cyclotrons, it is possible to provide RF structures (cavities), instead of the use of dee's, for acceleration of the beam. In the case of cavities instead of dee's, the phase of the RF drive does not vary across the unit (that is, at resonance in a cavity, the electric field has a single phase). So it is not necessary to account for the phase differential due to delay in transmission through the slit that generates the accelerating voltage.
In the previous description, the algorithm for controlling the beam during acceleration was described. It is possible to adjust amplitude, frequency and phase of the accelerating RF field in order to adjust the extraction. In order to achieve proper extraction, the beam should arrive at the extraction region with the proper energy and with the proper direction. It may be desirable to adjust (either increase or decrease) the rate of energy increase of the ion beam as it rotates around the axis, especially when the ion beam has been excited with a non-axisymmetric component that generates betatron oscillations (precession of near circular ion orbits). The rate of energy increase can be adjusted by controlling the phase of the RF drive with respect to the ion beam, the amplitude of the accelerating RF fields, or both.
Not shown in
During the injection, acceleration or extraction process, it may not be necessary to monitor or adjust the phase or amplitude of the RF drive every cycle, and an averaging can be used to determine the appropriate phase, amplitude and/or frequency of the wave. The longer time-scale required to vary the phase or amplitude of the ion beam allows for improved acquisition of the properties of the ion beam (through averaging), to compensate for noise in the system. In addition, a look-up table of required phase/frequencies as a function of the beam energy may be used in addition to the feedback. It may be used both to assure that the ion beam is being sensed properly, as well as to provide information when either the signal from the beam is small, or the phase measurement unit is resetting, or during times when the beam phase is difficult to determine, such as immediately following injection of the beam into the accelerating region.
As mentioned above, some of the delays 103, 109 are a function of the ion beam energy, as the radial location of the ion beam with respect to both the sensor 104 and the accelerating Dee's changes with ion beam energy. The look-up table 112 can be used store the values of the delays, which can be either measured or calculated. In addition, it is possible to vary the optimal phase of the ion beam with energy, as the stability criteria of the ion beam changes with energy. Thus, at lower energy, it may be desirable to adjust the phase for improved bunching of the ion beam, while at higher energies, once the ion beams are relatively well bunched, the phase can be adjusted for increased acceleration voltage per pass in the Dee's. It is possible to determine the beam energy at a given revolution from the frequency of RF drive, and thus the approximate radius and location (in the case that the orbits are not quite circular and there is a precession due to betatron oscillation) of the ion beam.
In addition to monitoring the beam phase and the average increase in energy, it may be possible to measure the beam “health” (using parameters such as beam pulse height, beam pulse width and beam pulse tail). A narrow beam pulse, with no substantial tail (indicating particles that have fallen off-sync) will indicate a healthy beam. As the particles lose sync with the RF drive, they spread in angle, changing the characteristics of the signal measured by the probe (less height, more width of the signal). Further analysis of the relationship between the ion beam acceleration rate and the ion beam “health” may avoid the need to adjust for the change in the phase delays of the different elements. The purpose would be to maximize the ion beam acceleration stably, by monitoring the energy increase per revolution or per a number of revolutions, and then adjust the phase to get maximum stable acceleration with good ion beam “health.” The phase of the RF drive can be adjusted using the characteristic of the beam (height, width), coupled with the measured rate of increase of energy. This approach could be used instead of using a loop-up table for control of the RF, during at least a portion of the accelerating phase of the beam.
The control system 150 varies (dithers) the phase relative to a baseline phase to determine the optimal phase, and resets the baseline phase periodically during the acceleration. Because of the large number of turns during the acceleration, the optimal phase does not change significantly from one cycle to the next.
The electronic control unit 105 can either generate the signal with the proper phase, amplitude and/or frequency, or alternatively, it can adjust the parameters of conventional power supplies. For example, if the phase is lagging, it could temporarily increase the frequency of the signal in order to “catch up” with the phase. Similarly, if the phase is too advanced, the controller could reduce temporarily the frequency in order to slow down to the required phase. It should be noted that it is not necessary to provide feedback on the frequency of the signal, as control on the phase is sufficient, and an increase in frequency is similar to an increase in the rate of change of phase. A linear change in frequency can be provided by a quadratic change in phase, at otherwise constant frequency. That is,
exp[i(ω0+Δωt)t+iφ0]=exp[iω0t+i(φ0+Δωt2)]
In principle, it may be possible to adjust the software so that, once the algorithm is determined, the continuous feedback monitoring of the ion beam is not needed, through all or part of the injection, acceleration and extraction steps. It is also possible that, once done for one machine, the same algorithm may be utilized in other machines. This approach is particularly of interest in machines that do not require iron for shaping, as it is expected that the field profiles can be reproduced very accurately between machines.
It is also possible to reset the frequency/phase of the equation, to prevent very large square times (phase shift scales as time-squared). The look-up table 112 can be useful in this process.
In the case of resonant cavities instead of dee's, the power supply changes the phase and/or the amplitude of the RF drive slowly. In the case of a RF cavity with varying resonant frequency, faster response can be achieved by modifying the cavity or the circuit properties to vary the phase of the electric field.
Beam Sensors
It is necessary to determine where the beam is with respect to the RF field. The beam sensor is a key contributor to the successful implementation of the invention.
Several sensors types are possible for this application. For example, it is possible to have one or more inductive loops. When the ion beam goes over one inductive loop, it induces an emf in the loop and delayed into the sensor. It is possible to use one or more loops. The loops can be of either planar shape, or they can be convoluted loops, as in the case of Rogowski coils. A single loop or multiple loops or coils can be used. It may be desirable to place the loop in a region where the electric field induced by the Dee's, during the time of detection, is small, to minimize pick-up of the RF drive signal by the loop. There are regions both downstream and upstream of the gap where the field is during the time that the beam is transiting the cyclotron, and the loops can be placed there. Depending on the definition of φoptimal, the detection would occur near π/2+φoptimal or π/2−φoptimal away from the gap.
Another potential way to decrease noise is to use two loops, placed in such a manner that they are symmetric (and reversed) with respect to the accelerating gap. In this manner, the emf due to the accelerating voltage can be eliminated (nulled). In addition, there will be two beam pulses in the sensor per cycle, potentially improving the detection of the phase of the ion beam.
Another potential location of the loops is rotated in relation to the accelerating gap. There are two angular locations along the beam orbit where the field in the Dee's is going through reversal at the time that the beam is going through them. In these two places, the rate of change of field is small, and although the fields are high, the rate of change of field is small. Sensitivity of the detector may be improved when the loop is located in one of these two locations.
Also shown in
In accordance with another embodiment,
By using the configuration of
It should be understood that, in all of these embodiments, the term “loops” also refers to Rogowski coils. Although the loops are arranged so that the twisted pair of the current leads occurs in the large radius of the loop, other locations of the twisted pair around the loop are not excluded. Also, although the loop or Rogowski coil is shown in only half of the cyclotron, it could be placed along a diameter. In this case, it is possible to return the coil or loop through the opposite side of the beam chamber, to minimize common-noise and increase signal-to-noise ratio.
An alternative beam phase and/or position sensor is dipole antennas, which do not have loops. It is possible to use the same locations for positioning of dipole antennas, if that is the preferred detector. There are a number of antennas to be used, the simplest being the dipole antenna, which is basically a bare conductor exposed to the electromagnetic fields from the passing ion beam. Other types of electric field sensing antennas could be used. In the case of dipole antennas, it is possible to make the connection of the antenna between the antenna extremes, as shown in
Also, although the beam detector is shown radially in each of the embodiments illustrated in
It would be possible to build in the sensor 385, by deviating from radial, phase differentials that are dependent on the energy of the beam (higher energy beam rotates at larger radii). In this manner, for example, the change in the sensing delay tsensor that arises due to changes in the beam energy (and changes in radial location of the beam) can be offset by sensing the beam at an appropriate location, and there is no need for software adjustment. Also, although the accelerating gap 200 is shown radial, it is possible to include accelerating gaps that are not radial but with an azimuthal angle that varies with radius. The accelerating gap 200 is meant to include acceleration through a cavity, where the strong electric fields are produced in a cavity/resonator.
It may also be possible to build into the hardware other phase compensators. One simple phase compensator would be to utilize longer cables or provide differential impedance in the lines.
Although only dipoles and loops have been described, other types of detectors can be used, including solid state detectors, fiber optics, cloud chambers and others. It may be necessary for these sensors to have very fast response in order to determine the phase of the beam.
Similarly, sensors to determine the radial location of the beam would be needed, for applications where betatron oscillations are being used for beam extraction control. Similar sensors could be used to determine the characteristics of the betatron orbits in the cyclotron.
Adjustment During Acceleration
A very attractive feature of the invention is that closed loop control of the acceleration enables the possibility of adequate injection, acceleration and extraction in the case of varying final beam energy in a single synchrocyclotron. For some applications, including radiation beam therapy, it would be useful to modulate the energy of the ion beam, avoiding the need for a phantom or energy degrader. Variation of the extracted beam energy is enabled by the use of iron-free machines, by variation of the current in the cyclotron coils (which vary the cyclotron magnetic field amplitude while maintaining the normalized field profile). An iron-free synchrocyclotron operating in conjunction with phase-locked loop beam acceleration can readily provide the desired variation in extracted beam energy, with no additional required sub-system components.
Changing the energy of the beam requires several modifications to the cyclotron operation, some of which are enabled by the use of closed loop control. The changing of the energy of the ion beam, while maintaining the radius of extraction requires changes in the magnetic field of the device. The relativistic gyro-radius of a charged particle in a magnetic field is rgyro=γm v/q B, where γ is the relativistic mass correction, m is the rest mass of the charged particle, v its velocity, q its charge and B the magnitude of the magnetic field. The energy of a particle is given by E=mc2(γ−1) where c is the speed of light. For non-relativistic particles, E=½ m v2, and the gyro-radius is given by rgyro=(2 E m)1/2/qB. For a constant radius of extraction (i.e., for a given cyclotron), the energy of the particle scales as E˜B2. Thus, relatively small changes in the magnetic field result in substantial changes of the ion beam energy.
The second operational change when changing the beam energy is the adjustment of the frequency of the RF drive. For non-relativistic particles, the frequency scales linearly with the field (f˜B). It may be required that the RF circuits have substantial bandwidth to accommodate the change in magnetic field. In the case of the synchrocyclotrons, the range of frequencies needs to be adjusted when the beam energy is being varied. The range of frequencies scale with the current in the cyclotron coils, that is, the lower frequency scales with the cyclotron coils current, and the highest frequency also scales with the cyclotron coils current. Thus, the total range of tunable frequencies of the RF circuit for the synchrocyclotron goes from the lowest frequency at the lowest field, to the highest frequency at the highest fields: there is a fast frequency ramp (for a given beam energy) required for acceleration of a single ion “packet”, and a slower change of the frequency limits of the frequency ramp, associated with the changing magnetic field (and thus, beam energy).
It would be possible to achieve large energy variability by the use of multiple accelerating gaps, decreasing the large bandwidth of the RF required in the case of a single accelerating gap. However, this would require individual control of each gap. The process can be used either with RF cavities for the acceleration, as well as for dee's. In order to achieve lower acceleration energy, with the beam orbiting around the cyclotron at lower frequencies, instead of reducing the frequency, it would be possible to activate a cavity or a dee, and thus prevent deceleration of the beam. In this case, there would be multiple RF cycles per beam orbit for some beam energies, but only a few limited gaps would be activated to continue the acceleration (if the other cavities would be activated, the beam would decelerate while traversing the cavity or the gap between the de-activated dee's and thus, be counterproductive). By deactivating the decelerating cavities or dees, it is possible to maintain the frequency higher than otherwise would be required, limiting the required bandwidth of the accelerating RF drive. It should be noted that when the acceleration of the beam takes place during only a fraction of the RF cycles, it would be possible to accelerate multiple beam bunches. The number of potential beam bunches is the same as the number of RF cycles per orbit of the charged particles.
In other words, by applying the RF drive to multiple RF cavities along the orbital trajectory, it is possible to operate the RF drive at a frequency different than would be used if only a single acceleration gap were used. This allows the RF drive to have a narrower range of operating frequencies, as the use of multiple RF cavities causes the same effect as a change in frequency using a single injection gap.
In addition to the changing the beam energy, it is possible to adjust the RF amplitude and RF frequency to accommodate the acceleration of different particles. It is possible thus to accelerate hydrogen, deuterium or carbon. In the case of carbon, it would be desirable to accelerate C6+, which would have similar accelerating RF frequency as deuterium because it has the same charge-to-mass ratio.
Adjustment During Injection Using an External Ion Source
In a cyclotron, it is necessary to introduce the particles to the acceleration region. Conventional methods of injection include using an electrostatic mirror or spiral inflectors. The spiral inflectors need to be readjusted to accommodate changes to the current in the cyclotron coils. A way of adjusting the parameters so that the spiral inflector is effective as the cyclotron coil current is varied is to simultaneously adjust the injected beam energy and the electric field applied to the inflector. If the cyclotron coil current changes by η, the electric field by η2 and the injected beam energy by η2, then the spiral inflector will remain effective as a means to introduce charged particles into the cyclotron, even though the currents in the cyclotron coils have changed.
Similarly, it would be possible to accommodate the injection with a spiral inflector for charged particles beams with a different charge-to-mass or energy, when the amplitude of the magnetic field in the cyclotron is changed. By adjusting the injected particles energy and the voltage in the inflector as the magnetic field and the charge/mass ratio changes, it is possible to introduce particles with different charge-to-mass ratio through the same inflector, with adequate efficiencies.
A simpler solution for admitting particles with different energies or different charge-to-mass ratios would be through use of an electrostatic mirror. Another alternative would be to use an internal ion source. The use of an internal source is impractical for the case of the carbon6+ ions. It should be noted, however, than it may be possible to couple an electron beam ion trap or electron beam ion source EBIT/EBIS with a cyclotron.
Internal Ion Sources
One way to avoid the issue of injection into the cyclotron is to provide an internal ion source. Any type of ion source would be appropriate for use with a variable energy synchrocyclotron. It would be ideal to match the internal ion source to the acceptance window of the RF drive in the cyclotrons, to minimize space charge during the early stages of the ion acceleration. This is particularly important for synchrocyclotrons, as the beam acceptance duty cycle is small. It would also be ideal to use sources without electrodes, which have limited lifetime and require frequent maintenance.
In addition to ion sources that use electrodes, there is on-going development of pulsed sources, such as laser ion sources, for the generation of ions for injection into accelerating structures (either cyclotrons or RFQ's). Some of this work is relevant for the generation of low energy protons.
The choice of material to be laser ablated may be important. The material should have enough opacity that the laser beam does not pass through the material. Thus, it has been shown that C—H compounds (beeswax, polyethylene) do not show signs of break down when illuminated with about 109 W/cm2. In this case, there is no proton production. However, when hydrates are used that can absorb the beam energy, charged particle beams are generated, although with low efficiency. Slightly more energy, on the order of 1010 W/cm2, does result in good emission, even in polyethylene. In this case, the ion energy is on the order of 150 eV, still somewhat higher than ideal for use in high performance synchrocyclotrons. In the case of the very high energy, even polyethylene can be used for the generation of protons. It should be noted that in the case of sufficient power, the addition of materials (nanoparticles) to the polyethylene does not result in improved hydrogen generation.
The issue of breakdown can be addressed by using higher frequency lasers, such as by double or, even better, tripling the frequency of infrared lasers, such as NdYAG or by placement of solid materials in the ablator material, such as nanoparticles or nanotubes. Ideally, the ion energy at the ion source should be low in order to provide higher brightness of the accelerated ion beam. Very high intensity laser ion sources (i.e., around 1016 W/cm2) produce very energetic ions (up to several MeV's) and would not be accepted well by the synchrocyclotron
For applications to synchrocyclotrons, an ablator that does not result in deposits that involve maintenance operation are desirable. Carbon-hydrogen ablators are not ideal in that the carbon or carbonaceous material may build in components inside the beam chamber. Hydrogen compounds that do not result in stable solids in the beam chamber are desirable. Two such compounds are water and ammonia. In both cases, the compounds need to be fed into the beam chamber in frozen condition, to minimize sublimation of the material. Limited sublimation is tolerable. To prevent sublimation of water, a temperature of around 200 K or lower is desirable. Similarly, ammonia needs to be kept cold in order to prevent sublimation. In both cases, the water or its byproducts (oxygen ions, atoms and water clusters) and ammonia and its byproducts, (nitrogen, ammonium clusters, etc) would not build up in the machine.
Ideally the internal ion source would be located along the axis, near the midplane of the machine.
Beam Extraction
The extraction of an ion beam presents the largest challenge for variable energy, iron-free synchrocyclotrons. Beam extraction over the course of a few orbits by perturbing the local magnetic field near the extraction radius is one possibility. The required perturbation should be produced by an element that is linear with the cyclotron magnetic field, such as superconducting monoliths, or a small wound coil, whose field could be programmed to match other characteristics of the machine.
The inventors have demonstrated that if the magnetic field and the RF voltage are adjusted, it is possible to maintain identical orbits in a synchrocyclotron, starting from the same position and with adjusted initial energy, through changes in the currents in the cyclotron coils. The algorithm for achieving identical orbits is the same as that described above for the acceleration. Thus, it may be possible to maintain identical orbits, including the extraction. However, it is likely that because of the large number of cycles, it will be necessary to adjust either the amplitude, phase or both of the accelerating voltage to make sure that the orbits ahead of the extraction, and during extraction, stay the same for similar beam extraction (for particles with different energy or even charge-to-mass ratios).
An alternative solution is to combine betatron oscillations with phase-locked loop control of the acceleration as shown illustratively in
The betatron oscillations rotate the point on the orbit with the largest radius (the cyclotron orbits having a center that is different from the magnetic field center). The location 410 of the point in the orbit with the largest radius, and the precession of this largest radii over several orbits, are shown in
It is also possible to increase the RF accelerating field during the extraction process, in order to increase the turn-to-turn separation. By increasing the RF field only during the last stages of the acceleration, it is possible to keep the average power requirements low. It may not be necessary to increase the power handling capacity of the power supply, as the peak is only needed only during a small fraction of the beam injection, acceleration and extraction periods, so operation at this high power has low duty cycle.
The amplitude of the betatron oscillation can be adjusted by introducing the beam into the cyclotron such that the center of the gyrotron motion of the ions is displaced with respect to the magnetic axis of the cyclotron, or through controlled magnetic perturbations in the cyclotron field. The betatron oscillations can be adjusted by modification of the profile of the magnetic field, which is possible in the case of a device without iron. It can be produces also by linear magnetic elements (linear in that they can be varied with the magnetic field) that introduce non-axisymmetric magnetic fields in the cyclotron.
The above discussions provide means of controlling the energy of the beam during the precessions due to betatron oscillations (by adjusting the phase and/or amplitude of the RF field). It is possible, however, to excite betatron oscillations that will result in beam extraction by adjusting the amplitude of a pulsed non-axisymmetric field in the cyclotron.
As an alternative or in addition to conventional means that use a stationary magnetic bump (with a field that varies linearly with the main field of the cyclotron, adjusted to obtain variable energy), the phase loop control (that provides information on the status of the ion bunch) allows the possibility of extraction by the use of a rapidly changing kicker magnetic field. This kicker field is a non-axisymmetric pulsed magnetic field generated by one or more coils, referred to as the kicker coils. Rapidly means on the scale of several cyclotron orbits, or several precession orbits (of the betatron oscillations). Non-axisymmetric means that the perturbation varying field has an azimuthal variation. An advantage of using a kicker field for extraction is that the beam orbits are not perturbed until the beam reaches the desired extraction energy. The kicker field may require multiple orbits of the ions through the cyclotron for extraction, and it is not limited to a single orbit before extraction.
One issue with this approach is the power required to rapidly vary the magnitude of the kicker field. One embodiment that allows the rapid change of the magnetic kicker field is to use a set of kicker coils (that generate a pulsed non-axisymmetric perturbation magnetic field) that have zero mutual inductance to the main cyclotron coils. There could be one or multiple coils, with multiple loops, with currents connected in series. The arrangement could include a set of non-axisymmetric field-generating coils that are identical, but rotated around the major axis of the cyclotron and operating with current flowing in the opposite direction (handedness). There could be a set of two non-axisymmetric coils or a larger set of coils, with an even number of perturbation coils. Alternatively, it could be through the use of external transformers to zero the mutual inductance between the two coils. In another embodiment, a combination of the two approaches may be used that result in zero mutual inductance between the two coil sets. Because the zero mutual inductance, the energy required to generate the kicker fields scales as the square of the perturbation field, and it is much smaller than it would be if the mutual inductances were not low. The absence of iron in the circuit eases the control of the beam variation (eliminates the non-linear element), as well as reduces potential losses due to the fast varying rates.
It is possible that the kicker coils are symmetric with respect to the midplane, in which case there may be a set of 4 coils, or they could be one above (the kicker coil) and the other one (the compensation kicker coil) below the midplane, with the main cyclotron windings in series, in which case, the mutual inductance of both coils sets (the kicker coils and the main cyclotron coils) is 0.
The ramp rate of the kicker field, as well as time of initiating the ramp (with respect to the beam energy and the phase in the orbit where the ramping of the non-axisymmetric field starts) can be adjusted to provide adequate extraction of the beam. A look-table may be generated that provides information on the ramp rate and the timing of the ramp for several beam energies. Information from the beam sensor (location, energy) can be used to initiate the ramping of the kicker field. The ramp rate can also be adjusted by using information from the beam sensor, using phase-locked loop techniques. Alternatively, the ramp rate is adjusted as the magnetic field is varied, in order to adjust the trajectory of beams of different energies so that the orbits of beam of different energies are the same. By assuring that the beam trajectories are the same for conditions of different beam energies, it is assured that the ion beam extraction is the same for ion beams having different energies.
Magnetic field variations on the superconducting coils can be prevented by thin conducting elements that shield the superconducting coils from the coils that generate the kicker fields.
Because the kicker coils are pulsed, it is possible to produce relatively high fields for short periods of time, higher than would be possible with conventional magnetic field bumps. The coils could be superconducting, but resistive coils, with short pulse duration, are also feasible, enabled by the low duty cycle of the kicker coils.
An alternative embodiment of the design is to use a pulsed electrostatic deflector to perturb the beam optics leading to the extraction point. For an electrostatic deflector, there is no inductive coupling with the main magnetic field. The energy required to activate the electrostatic deflector is very small compared with the energy required for the magnetic perturbation fields, even in the case of no coupling between the non-axisymmetric perturbation fields and the main cyclotron coils.
Although
Thus, in some embodiments, the cyclotron may include at least two functions. These two functions are shown in
This knowledge of exact beam position and velocity may allow more predictable and repeatable extraction to occur. As shown in
In one embodiment, the field modifier is an open loop system. By knowing the exact position and velocity of the ion beam within the cyclotron, it is possible to actuate the field modifier when the ion beam is at a specific position and velocity. If the field modifier is actuated in a repeatable fashion, and the ion beam is positioned at the same position and velocity when this actuation occurs, the ion beam may follow the predetermined path needed for successful extraction through the extraction channel 460. In other words, by using the phase locked loop to get the ion beam to a specific position and velocity, the extraction process may be made repeatable. This open loop behavior may also be made possible as the extraction portion of the process may only constitute a few orbits, such as less than 100. Thus, in this embodiment, the electronic control unit may utilize a look up table or other information to control the field modifier. This look up table or other information may utilize data, such as mass of ions, mass/charge ratio of ions, and the desired energy of extracted ion beam in determining the appropriate control of the field modifier.
In another embodiment, a second phase locked loop is used to control the field modifier. Just like a phase locked loop is used to control the RF drive during acceleration, a phase locked loop can control the non-axisymmetric field modifier during extraction. In this embodiment, a beam detector and sensor is user to determine the location and speed of the beam. An electronic control unit then utilizes this information to determine the appropriate alterations for the field modifier. These alterations are also based on data such as mass of ions, mass/charge ratio of ions, and the desired energy of extracted ion beam. All of this information is used in determining the appropriate control of the field modifier. These changes are then applied to the field modifier accordingly. As described above, this field modifier may be a set of kicker coils 460, as shown in
Although a discussion of implementation of phase lock loop in some instances in this disclosure refers to dee's for the accelerating structure, it is to be understood that the same principle applies when using RF cavities. Thus, the phase locked loop techniques described herein can be used with any suitable accelerating device.
Thus, the present system allows for the creation of a system which can extract an ion beam having any desired energy. As stated above, the magnetic field, which is created by passing current through the cyclotron coils, is established to confine the ion beam in the cyclotron. The magnitude of this magnetic field also establishes the final energy of the extracted ion beam.
The cyclotron also includes a phase locked loop which monitors the position and velocity of the ion beam in the cyclotron and adjusts the RF drive according to the ion beam information. The phase locked loop includes a beam detector, sensor, electronic control unit, and a RF wave generator. Based on the data received from the beam detector, the electronic control unit alters the RF drive using the RF wave generator. The phase locked loop is used to cause the ion beam to follow a predetermined path within the cyclotron.
Once the ion beam reaches a specific location and velocity within the cyclotron, the electronic control unit commences the extraction process. This may be done by actuating a non-axisymmetric pulsed magnetic field using kicker coils. This non-axisymmetric pulsed magnetic field shifts the ions beam toward the extraction point, such that the ion beam exits the cyclotron having a specific trajectory. The magnitude of the magnetic field from the kicker coils varies in direct proportion to the magnitude of the magnetic field in the cyclotron to ensure that the extracted beam follows a fixed trajectory out of the cyclotron regardless of final energy.
The present disclosure is not to be limited in scope by the specific embodiments described herein. Indeed, other various embodiments of and modifications to the present disclosure, in addition to those described herein, will be apparent to those of ordinary skill in the art from the foregoing description and accompanying drawings. Thus, such other embodiments and modifications are intended to fall within the scope of the present disclosure. Furthermore, although the present disclosure has been described herein in the context of a particular implementation in a particular environment for a particular purpose, those of ordinary skill in the art will recognize that its usefulness is not limited thereto and that the present disclosure may be beneficially implemented in any number of environments for any number of purposes. Accordingly, the claims set forth below should be construed in view of the full breadth and spirit of the present disclosure as described herein.
This application claims priority of U.S. Provisional Application Ser. No. 61/676,377, filed Jul. 27, 2012, the disclosure of which is incorporated herein by reference in its entirety.
This invention was made with government support under Grant No. HDTRA1-09-1-0042 award by Defense Threat Reduction Agency. The government has certain rights in the invention.
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Number | Date | Country | |
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20140028220 A1 | Jan 2014 | US |
Number | Date | Country | |
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61676377 | Jul 2012 | US |