This invention generally relates to devices that produce electromagnetic (EM) emissions and, more particularly, to crossed field devices that produce such emissions.
Although crossed field devices, such as magnetrons and crossed field amplifiers, have been used in a variety of different applications ranging from microwave ovens to military radar equipment, certain technical challenges still exist.
For example, some crossed field devices are unable to produce high frequency electromagnetic (EM) emissions at elevated power levels. Generally, very small cathode and/or anode structures and features are needed in order to generate emissions having such small wavelengths. Such structures and features oftentimes cannot withstand the electrical current and resulting heat that is required to generate the power levels needed. These are only examples of some of the potential concerns and challenges that may need to be considered when designing a crossed field device, as many others certainly exist.
According to one aspect, there is provided a crossed field device for generating electromagnetic (EM) emissions. The crossed field device may comprise: a cathode, an anode that is axially spaced from the cathode and has a plurality of cavities, a magnetic element, and an extraction element that conveys the electromagnetic (EM) emissions from the crossed field device to an intended load. The crossed field device may be a recirculating device that creates an axial electric (E) field and a radial magnetic (B) field.
According to another aspect, there is provided a crossed field device for generating electromagnetic (EM) emissions. The crossed field device may comprise: a cathode, an anode that has a plurality of cavities where at least one of the cathode and/or the anode is generally oval-shaped, a magnetic element, and an extraction element that conveys the electromagnetic (EM) emissions from the crossed field device to an intended load. The crossed field device may be a recirculating device that creates a radial electric (E) field and an axial magnetic (B) field.
Preferred exemplary embodiments of the invention will hereinafter be described in conjunction with the appended drawings, wherein like designations denote like elements, and wherein:
Crossed field devices, such as magnetrons and crossed field amplifiers, use electrons in electric and magnetic fields to generate electromagnetic (EM) emissions and may be employed in a number of different applications. For example, crossed field devices may be used in microwave ovens, radar systems, medical equipment, scientific instruments, communication systems, electronic counter measures, and certain lighting arrangements, to name a few examples. Although the following description is provided in the context of an exemplary magnetron, it should be appreciated that it also applies to other crossed field devices like crossed field amplifiers.
The term “planar,” as used herein in the context of an anode, cathode or other element of a crossed field device, broadly refers to a component having a thickness in the axial direction that is less than or equal to one wavelength (λ) of the electromagnetic (EM) emissions produced by the crossed field device. It should be appreciated that “planar” does not require a component to be perfectly flat or perfectly planar, only that it be generally or substantially planar, like the devices taught herein. The term “oval” or “oval-shaped,” as used herein in the context of an anode, cathode or other element of a crossed field device, broadly refers to a component having a shape that includes at least one straightaway segment and at least one curved segment. It should be appreciated that “oval” or “oval-shaped” does not require a component to be perfectly oval shaped, only that it be generally or substantially oval, oblong, elliptical, eyeglass, etc. in shape, like the devices taught herein.
Crossed Field Device with Axial Electric Field and Radial Magnetic Field
With reference to
Cathode 12 acts as an electrode in crossed field device 10, and is typically provided with a negative voltage (relative to anode 14) so that it emits electrons therefrom. According to the exemplary embodiment shown here, cathode 12 is a generally annular component that emits electrons from an axial end that faces an anode-cathode (AK) gap which separates the cathode from the anode. In the particular embodiment shown in
In another embodiment shown in
Anode 14 also acts as an electrode in crossed field device 10, and is typically provided with a positive voltage (relative to cathode 12) so that it can attract the electrons emitted from the cathode. In the exemplary embodiment shown in
The size, shape, location, orientation and/or number of projections 40 and/or cavities 42 may impact the resonant electromagnetic (EM) fields that form in the cavities and thus the resultant EM emissions. For example, if crossed field device 10 is designed to generate EM emissions having a frequency in the terahertz (THz) range, then cavities 42 may be rectangular in shape and may need to have an axial depth (D) that is less than or equal to a millimeter (mm) in order to promote the resonant EM fields needed for this frequency. There are a number of different techniques for determining cavity size, any one of which may be used here. For example, empirical data has shown that it may be desirable for: the axial depth (D) of the cavity to be λ/4 (where λ is the wavelength of the desired EM emissions); the circumferential width of the cavity (C) to be determined by matching the crossed electric and magnetic fields (ExB) velocity with the phase velocity of the device (e.g., using the Buneman-Hartree resonance); and the radial length (F) of the cavity to be multiples of λ/2. Of course, the foregoing sizes, relationships and techniques for determining cavity size and shape are only exemplary, as others could be used instead.
Each of the exemplary cavities 42 is open at an upper axial end 48 that faces cathode 12 across the AK gap, as well as at inner and outer radial ends 44 and 46; this enables electrons to flow in and out of the cavities during operation, as will be described. It should be appreciated that projections 40 and cavities 42 are only exemplary, and that projections and cavities having other shapes, sizes, orientations, etc. could be used instead. For example,
Anode 14 may be manufactured using any suitable technique or process including, but certainly not limited to, casting, stamping, machining, sintering, electrical discharge machining (EDM), ion etching, laser micro-machining, LIGA microfabrication, deep reactive-ion etching (DRIE), other semiconductor fabrication techniques, and more. In addition, it is possible for projections 40 to be separately manufactured from the rest of anode 14 and then attached to the anode by way of welding, brazing, soldering, etc. It should be appreciated that anode 14 is only exemplary and may be provided with many other features, characteristics, embodiments, arrangements, etc. For example, anode 14 may include folded waveguides, slots, grooves, channels, or other features for influencing or channeling EM emissions; or it may have cavities and/or projections that vary from those shown here in terms of size, shape, orientation, etc., to cite a few possibilities.
Magnetic elements 16 generate a magnetic B field, which is crossed with the electric E field that is established between cathode 12 and anode 14. According to an exemplary embodiment, magnetic elements 16 include several sets of magnetic coils and may create a DC or pulsed magnetic B field. A first or upper set of coils is located above cathode 12 and includes a disk-shaped coil 60 that is coaxial with the cathode/anode and has an outer diameter comparable to the inner diameter of the cathode, and a ring-shaped coil 62 that is coaxial with the cathode/anode and has an inner diameter comparable to the outer diameter of the cathode. Coils 60 and 62 are axially outboard of cathode 12; that is, they are located further away, in the axial direction, from the rest of the crossed field device than is the cathode. This arrangement produces an annular gap 64 positioned between coils 60 and 62. A second or lower set of coils is located below anode 14 and includes a disk-shaped coil 70 that is coaxial with the cathode/anode and has an outer diameter comparable to the inner diameter of the anode, and a ring-shaped coil 72 that is coaxial with the cathode/anode and has an inner diameter comparable to the outer diameter of the anode. Coils 70 and 72 are axially outboard of anode 14; that is, they are located further away, in the axial direction, from the rest of the crossed field device than is the anode. As with the upper set of coils, the lower set of coils produces an annular gap 74. The strength, direction and/or other parameters of the magnetic field may be manipulated by changing the size, location, spacing, etc. of coils 60, 62, 70, 72 and/or annular gaps 64, 74. Of course, the particular magnetic element arrangement shown here is only one possibility, as any magnetic element configuration capable of producing a suitable magnetic field may be used instead. This includes other magnetic coil arrangements, as well as permanent magnets and pole pieces.
Extraction elements 18 channel, guide, direct and/or conduct electromagnetic (EM) emissions from crossed field device 10 to a desired load, and may be provided in a number of different forms and embodiments. For instance, extraction elements 18 may include one or more waveguides or other structures that are coupled at one end to cavity 42 and at another end to a desired load, such as a cooking chamber (microwave ovens) or a high gain antenna (radar equipment). Electromagnetic (EM) emissions that are produced in cavity 42 can then be transmitted or guided to the desired load. Skilled artisans will appreciate that the size and shape of extraction element 18 may be matched to the wavelength and/or other characteristics of the electromagnetic (EM) emissions being channeled. In an exemplary embodiment, crossed field device 10 includes several rectangular cross-sectioned extraction elements or waveguides 18, where each waveguide is coupled to a communicating cavity (i.e., a cavity 42 that communicates with an extraction element) through an opening 52 in the axial end of the anode that is spaced away from the AK gap (i.e., the axial end opposite axial end 48). Each communicating cavity may be located next to one or more non-communicating cavities (instead of having a number of communicating cavities in a row), and the communicating cavities may promote pi-mode operation in the crossed field device, to cite two possibilities. Each of these exemplary waveguides may direct or guide electromagnetic (EM) emissions out of the crossed field device in a generally axial manner; this can be particularly desirable in high frequency applications. Preferably, the communicating cavities are cavities that house strong resonant electromagnetic (EM) fields. In an amplifier configuration, it is possible for one of the waveguides to be an input device and one of the waveguides or extraction elements 18 to be an output device; thus, a signal is inputted or provided to crossed field device 10, it propagates around the device such that it is amplified, and the amplified version of the signal is outputted via an extraction element 18. In such an arrangement, it may be desirable to circumferentially space the output waveguide as far as possible from the input waveguide so that a maximum amount of signal amplification may occur.
Several different extraction element embodiments are shown in
In
It should be appreciated that the different extraction element embodiments 18, 54, 66 and 84 are only exemplary and that other features, characteristics, embodiments, arrangements, etc. may be used instead. For example, extraction elements may include quasi-optical output couplers, folded waveguides, dielectric output couplers, diffraction gaps, ridged waveguides, bowtie waveguides, C- or H-shaped cavities, tapered vanes or projections, coupling loops, photonic bandgap structures, inductive coupling, capacitive coupling, and coaxial transmission lines, to name a few possibilities. The extraction elements may have a variety of different shapes and, in one specific embodiment, could even be parabolic in nature. The extraction elements may be arranged to extract or guide electromagnetic (EM) emissions (including EM electric field or EM magnetic field) from the crossed field device in a generally radial manner, a generally axial manner or according to some other orientation. In one potential arrangement, extraction element 18 includes one or more coaxial transmission lines that are electrically connected to one or more projections 40 of the anode or to some other component of the crossed field device, including components of the anode, cathode, strapping member, etc. Other arrangements are possible as well. It should be appreciated that any number of additional elements, components, features, arrangements, etc. may be used with crossed field device 10. For instance,
Once assembled, the recirculating crossed field device 10 may be a generally flat or planar device and, according to the embodiment shown in the drawings, somewhat resembles a hockey puck or the like. Referring back to the exemplary embodiment of
During operation, a DC power source may be connected to cathode 12 and/or anode 14 so that an electric E field is established therebetween. The cathode and/or anode may be provided with a constant voltage, a pulsed voltage, or some other voltage in order to establish an axial electric field. An “axial electric field” broadly refers to electric fields that are generally aligned in the axial direction of the crossed field device, and does not require that the electric field be perfectly aligned along such axis. At the same time as the electric field, magnetic coils 60, 62, 70, 72 are supplied with an electric current and produce a radial magnetic field. A “radial magnetic field” broadly refers to magnetic fields that are generally aligned in the radial direction of the crossed field device, and does not require that the magnetic field be perfectly aligned in such a way.
The crossed DC electric and magnetic fields (ExB) cause electrons to spiral between the cathode and anode (so-called ‘cycloidal flow’) as they revolve around the crossed field device in the AK gap that separates the cathode from the anode (so-called ‘recirculating flow’ or electron drift). Generally, the cycloidal flow refers to the micro-flow path of a single electron, while the recirculating flow refers to the macro-flow path of a large number of electrons as they circulate around crossed field device 10; this phenomenon is sometimes called the ‘Brillouin flow’ and is designated by the symbol ν0. As the electrons begin to flow around crossed field device 10 in the AK gap, they move past cavities 42 and contribute energy to resonant electromagnetic (EM) fields formed therein. When put together, these various factors (electric field from anode/cathode, magnetic field from magnetic elements, and resonant electromagnetic (EM) fields in the cavities) act upon the electrons and cause them to bunch together and begin to form spokes or fingers 90. For a more complete description of this interaction, please refer to Modern Microwave and Millimeter-Wave Power Electronics, edited by Robert J. Barker et al., IEEE Press © 2005, Chapter 6: Crossed-Field Devices. This phenomenon is generally illustrated in FIG. 6.27.
As the electron spokes 90 circulate around crossed field device 10 in the AK gap, they interact with the resonant electromagnetic (EM) fields that have formed in cavities 42. This interaction may involve the transfer of energy between the recirculating electrons and the electromagnetic (EM) fields; in some cases, the electrons are providing energy to the EM fields and in some cases the EM fields are providing energy to the electrons. This interaction is further influenced by electromagnetic (EM) waves that circumferentially travel around and on the surface of anode 14, but do so along a longer path that includes flowing in and out of projections 40 as opposed to simply traveling in a purely circumferential path. Because these electromagnetic (EM) waves must traverse a longer path around the surface of anode 14, their overall rotational or circulative velocity is slowed down. Such devices are sometimes referred to as “slow wave structures” (SWS). According to an exemplary embodiment, crossed field device 10 is designed to operate in a π-mode where the phase of the resonant electromagnetic (EM) fields changes by π every successive cavity. Thus, an anode cavity 92 would have an electromagnetic (EM) field that is opposite in direction to the EM fields that are established in the adjacent anode cavities 94. Generally speaking, as the electron spokes 90 develop and become more pronounced and defined, the number of spokes equals the number of EM field phase changes (units of 2π phase changes) in all cavities 42. Consider an example where an anode has thirty cavities located around its circumference; in such a case, there are fifteen EM field phase changes and thus fifteen electron spokes 90. Typically, the π-mode is the desirable or dominant mode, but it may not be the only mode. Other non-dominant modes may exist, like a ⅔π-mode where the EM field phase shift between successive cavities is ⅔π. In the ⅔π-mode, a complete EM field phase shift occurs every three cavities, as opposed to every two cavities as in the π-mode; thus, in the example of thirty cavities, there would be ten complete EM field phase changes and thus ten electron spokes 90. Crossed field device 10 can also operate with traveling waves (either forward or backward) as an amplifier. Skilled artisans will appreciate that numerous techniques exist for reducing competition between the different modes, including the strapping and other examples provided above. Any suitable technique for reducing or otherwise manipulating mode competition may be employed with crossed field device 10.
When electron spokes 90 mature and become sufficiently interactive with cavities 42, the resonant electromagnetic (EM) fields produce or emit electromagnetic (EM) emissions in the form of radiation, signals, etc. As previously mentioned, the characteristics of these electromagnetic (EM) emissions may be driven by the shape, size and/or construction of cavities 42 and may have a frequency ranging from megahertz (MHz) to terahertz (THz), for example. In one embodiment crossed field device produces electromagnetic (EM) emissions in the range of 500 MHz-2 THz. Extraction element 18 then extracts or guides the electromagnetic (EM) emission through openings 52 in the communicating cavities and directs it to a desired load, like a cooking chamber in a microwave oven or a high gain antenna in a radar system. It should be appreciated that crossed field device 10 could be operated according to forward or backward traveling wave operation; it could be used as part of an amplifier or an oscillator; it could utilize periodic or alternating DC electric and/or DC magnetic fields; and it could engage in electric and/or magnetic field shaping, tapering, etc., to cite several possibilities. It is also possible for the crossed field device to include a second anode located on the other side of the cathode so that the device becomes a double-sided crossed field device. Many of the teachings from above would apply to such an embodiment.
Crossed Field Device with Radial Electric Field and Axial Magnetic Field
Turning now to
Cathode 112 acts as an electrode in crossed field device 110, and is typically provided with a negative voltage (relative to anode 114) so that it emits electrons therefrom. According to the exemplary embodiment shown here, cathode 112 is a generally planar or flat component that emits electrons from an oval-shaped inner end or surface 126 that faces anode 114 across the AK gap. Cathode 112 may include an inner end 126 that is oval-shaped and an outer end or periphery 128 that is rectangular-shaped, or any other shape for that matter. Inner end 126—which does not have to be oval-shaped and may be circular, rectangular, curved, wavelike, or some other shape instead—is an interior surface or perimeter of cathode 112 that surrounds anode 114 so that the inner end of the cathode opposes an outer end of the anode across the AK gap. In this particular embodiment, inner end 126 includes a pair of straightaway segments 130 and a pair of curved segments 132; the straightaway segments are positioned such that they oppose cavities in the anode across the AK gap, while the curved segments oppose smooth portions of the anode across the AK gap. Although outer end 128 is shown here as being rectangular in shape, it could just as easily be another shape, as this is only one possibility. Cathode 112 is only exemplary and, as explained above, may be provided with many other features, characteristics, embodiments, arrangements, etc. For instance, cathode 112 could be more annular in shape or could be located on the inside of the anode, as will be explained in more detail.
Anode 114 acts as an electrode in crossed field device 110, and is typically provided with a positive DC or pulsed voltage (relative to cathode 112) so that it can attract the electrons emitted from the cathode. In the exemplary embodiment shown in
Magnetic elements 116 generate a DC or pulsed magnetic field, which is crossed with the DC or pulsed electric field that is established between cathode 112 and anode 114. According to the exemplary embodiment shown here, magnetic elements 116 include a set of oval-shaped magnetic coils that are axially located above and below cathode 112 and anode 114, and produce a magnetic B field that is aligned in the axial direction. A first oval-shaped coil is axially spaced above the anode and cathode (i.e., located on a first side of the anode and cathode) and a second oval-shaped coil is axially spaced below the anode and cathode (i.e., located on a second side of the anode and cathode). Of course, magnetic elements 116 do not have to be oval-shaped magnetic coils, but instead could be non-oval shaped magnetic coils, permanent magnets, use pole pieces, or any other suitable magnetic element.
Extraction element 118 channels, guides, directs and/or conducts electromagnetic (EM) emissions from crossed field device 10 to a desired load. According to the exemplary embodiment shown here, extraction element 118 is a rectangular cross-sectional waveguide that is located in the center of anode 114, is coupled to one or more communicating cavities through one or more openings 144, and directs electromagnetic (EM) emissions out of the crossed field device in a generally axial manner. As stated before, communicating cavities are simply cavities 142 that communicate with extraction element 118. It is also possible for opening 144 to be larger than that illustrated here, so that a single opening spans a number of communicating cavities and couples those cavities to extraction element 118 through a single passageway. The location and number of openings 144 may vary, as the resonant RF fields that develop in cavities 142 can dictate or influence the position of the openings. In some embodiments, it may be desirable to locate openings 144 towards the center of the distribution of projections and cavities 140, 142 (as opposed to on the end of the distribution, as in
The extraction element 118 does not need to be as large as that shown in the drawings, nor does it need to extend from the center of the anode or have a square cross-section as shown in this embodiment. However, providing a large extraction element 118 may be beneficial in that the extraction element does not act as a frequency cutoff limitation, as can occur with smaller waveguides. These and other aspects of the extraction element or waveguide may differ from the exemplary form shown here. For example, extraction elements may include quasi-optical output couplers, folded waveguides, dielectric output couplers, diffraction gaps, ridged waveguides, bowtie waveguides, C- or H-shaped cavities, tapered vanes or projections, coupling loops, photonic bandgap structures, inductive coupling, capacitive coupling, and coaxial transmission lines, to name a few possibilities. The extraction elements may have a variety of different shapes and, in one specific embodiment, could even be parabolic in nature. The extraction elements may be arranged to extract or guide electromagnetic (EM) emissions (including EM electric field or EM magnetic field) from the crossed field device in a generally radial manner, a generally axial manner or according to some other orientation. In one potential arrangement, extraction element 118 includes one or more coaxial transmission lines that are electrically connected to one or more projections 140 of the anode or to some other component of the crossed field device, including components of the anode, cathode, strapping member, etc. Other arrangements are possible as well.
During operation, a DC power source may be connected to cathode 112 and/or anode 114 so that a radial electric field is established between these two electrodes. The cathode and/or anode may be provided with a constant voltage, a pulsed voltage, or some other power source in order to establish an electric field that is generally aligned in the radial direction Y of the crossed field device. At the same time, magnetic elements are supplied with an electric current and produce a magnetic field that is generally aligned in the axial direction X of crossed field device 10 (see
With reference to
According to another exemplary embodiment shown in
One optional feature of crossed field device 410 is the pair of strapping elements 470, which are conductive parts that may extend across multiple cavities 442 and connect together different projections 440. By electrically connecting two or more projections together, strapping elements 470 can affect the electromagnetic (EM) fields in the cavities and therefore influence the electron flow around the crossed field device, as is appreciated by those skilled in the art. The location of openings 452 and the placement of strapping elements 470 may be coordinated to produce an optimum output. As mentioned previously, it is also possible to electrically connect an extraction element like a coaxial transmission line directly to strapping element 470.
It is to be understood that the foregoing description is of one or more preferred exemplary embodiments of the invention. The invention is not limited to the particular embodiment(s) disclosed herein, but rather is defined solely by the claims below. Furthermore, the statements contained in the foregoing description relate to particular embodiments and are not to be construed as limitations on the scope of the invention or on the definition of terms used in the claims, except where a term or phrase is expressly defined above. Various other embodiments and various changes and modifications to the disclosed embodiment(s) will become apparent to those skilled in the art. For example, the projections and/or cavities in the anode could be replaced with electromagnetic structures, circuits or the like. Some examples include traveling wave structures, slow wave structures, meander lines, and folded waveguides, to name but a few. This is true with both the oscillator and amplifier embodiments, as it is not necessary for the anode to use cavities as shown here, and instead may have some other type of feature that slows down the waves circulating around the crossed field device. All such other embodiments, changes, and modifications are intended to come within the scope of the appended claims.
As used in this specification and claims, the terms “for example,” “for instance,” and “such as,” and the verbs “comprising,” “having,” “including,” and their other verb forms, when used in conjunction with a listing of one or more components or other items, are each to be construed as open-ended, meaning that the listing is not to be considered as excluding other, additional components or items. Other terms are to be construed using their broadest reasonable meaning unless they are used in a context that requires a different interpretation.
This application claims the benefit of U.S. Provisional Ser. No. 61/235,812 filed Aug. 21, 2009, the entire contents of which are incorporated herein.
This invention was made with government support under Contract Nos. FA9550-05-1-0087 and FA9550-10-1-0104 awarded by The Air Force Office of Scientific Research. The government has certain rights in the invention.
Number | Name | Date | Kind |
---|---|---|---|
3305751 | Brown | Feb 1967 | A |
4413208 | Morizot | Nov 1983 | A |
7265360 | Baker et al. | Sep 2007 | B2 |
20050151461 | Tuck et al. | Jul 2005 | A1 |
20050225228 | Burden et al. | Oct 2005 | A1 |
20090108729 | Gorog et al. | Apr 2009 | A1 |
Entry |
---|
International Search Report for PCT/US2010/046160, dated Mar. 29, 2011, 3 pages. |
P.L. Kapitza, “The Prospects for the Future Development of High-Power Electronics,” In: High-Power Microwave Electronics, Pergamon Press, The Macmillan Company, New York, 1964, pp. 106-114. |
T.A. Spencer, “Current HPM Source Research,” Proceedings of the 6th Workshop on High Energy Density and High Power RF, Berkeley Springs, West Virginia (USA): AIP, 2003, p. 46. |
G.B. Collins, “Microwave Magnetrons”, McGraw-Hill, New York, 1948 1 page. |
R.M. Gilgenbach, Y.Y. Lau, H. McDowell, K.L. Cartwright, and T.A. Spencer, “Crossed-Field Devices”, Chapter 6 in “Modern Microwave and Millimeter Wave Power Electronics”, edited by R.J. Barker, N.C. Luhmann, J.H. Booske, and G.S. Nushinovich, IEEE Press, Piscataway, NJ 2004 (and references therein) 25 pages, 2013. |
W.M. Black, R.K. Parker, R. Tobin, G. Farney, M. Herndon, V.L. Granatstein, “A Hybrid Inverted Coaxial Magnetron to Generate Gigawatt Levels of Pulsed Microwave Power”, International Electron Devices Meeting, 1979, vol. 25, pp. 175-178. |
R.K. Parker, R. Tobin, G.K Farney, “Initial Performance Characteristics of a High Power Hybrid Inverted Coaxial Magnetron:”, 1980 International Conference on Plasma Science, p. 94 of proceedings. |
W.M. Black, M Bollen, R. Tobin, R.K. Parker, L.R. Barnett, G. Farney “A High Power Magnetron for Air Breakdown Studies”, International Electron Devices Meeting, 1980, vol. 26, pp. 180-183. |
R.A. Close, A. Palevsky, G. Bekefi, Radiation Measurements from an Inverted Relativistic Magnetron, J. Appl. Phys. 54 (7), p. 4147, Jul. 1983. |
M.C. Jones, V.B. Neculaes, Y.Y. Lau, R.M. Gilgenbach, and W.M. White, “Cathode Priming of a Relativistic Magnetron”, Applied Physics Letters, vol. 85, p. 6332, Dec. 27, 2004. |
B.W. Hoff, R.M. Gilgenbach, N.M. Jordan, Y.Y. Lau, E. Cruz, D. French, M.R. Gomez, J.C. Zier., T.A. Spencer, D. Price “Magnetic Priming at the Cathode of a Relativistic Magnetron” IEEE Trans. Plasma Science, Special Issue on HPM, vol. 36, No. 3, p. 710, Jun. 2008. |
R.V. Harrowell, “A New, Radial B-field Magnetron for Use in Microwave Ovens,” Journal of Physics D: Applied Physics, vol. 17, 1984, pp. L43-L46. |
L. Ludeking G. Thomas, and W. Bollen, “Simulation and Analysis of a Reentrant Planar Magnetron,” Proceedings of the 1987 International Electron Devices Meeting, 1987, pp. 160-163. |
Jung-II Kim, Seok-Gy Jeon, Yun-Sik Jin, Geun-Ju Kim, Dae-Ho Kim, and Sun-Shin Jung, “Particle-in-Cell Simulation of 100 GHz Reentrant Linear Magnetron,” Infrared, Millimeter and Terahertz Waves, 2008. IRMMW-THz 2008. 33rd International Conference on, 2008, pp. 1-2. |
J. Kim, S. Jeon, Y. Jin, G. Kim, D. Kim, and S. Jung, “Investigation of the 100 GHz Reentrant Linear Magnetron Using Particle-in-Cell Simulation,” J. Vac. Sci. Technol. B, AVS, 2009, pp. 687-691. |
Donald A. Shiffler, J. Luginsland, M. Ruebush, M. Lacour, K. Golby, K. Cartwright, M. Haworth, and T. Spencer. “Emission Uniformity and Shot-to-Shot Variation in Cold Field Emission Cathodes”, IEEE Transactions on Plasma Science, Vol. 32, No. 3, p. 1261, Jun. 2004. |
M.C. Jones, V.B. Neculaes, R.M. Gilgenbach, W.M. White, M.R. Lopez, Y.Y. Lau, T.A. Spencer, and D. Price, “Projection Ablation Lithography Cathode for High Current Relativistic Magnetron”, Review of Scientific Instruments, vol. 75, p. 2976, Sep. 2004. |
N.M Jordan, R.M. Gilgenbach, B.W. Hoff, and Y.Y. Lau, “Metal-OxideJjunction, Triple Point Cathodes in a Relativistic Magnetron”, Rev. Sci. Inst. 79 064705 (2008) published online Jun. 11, 2008 1 page. |
Y.Y. Lau, “A Collective Interaction Klystron,” Phys. Rev. Lett. 53, 395-398 (1984); patented in U.S. Patent #4,617,493, Oct. 4, 1986. |
D. Chernin and YY Lau, “Stability of Laminar Beams”, Phys Fluids 27 2319 (1984). |
B B Godfrey and T.P. Hughes, “Long Wavelength Negative Mass Instabilities in high current betatrons”, Phys. Fluids, 28, 669 (1985) 8 pages. |
Y.Y. Lau, “Theory of Crossed-Field Devices and a Comparative Study with Other Coherent Radiation Sources,” Chapter 9 in “High Power Radiation Sources”, Eds. I. Alexeff and V.L. Granatstein, Artech House, Norwood, MA (1987), p. 309. |
Y.Y. Lau and D. Chernin, “Stabilization of the Negative Mass Instability in a Rotating Relativistic Electron Beam,” Phys. Rev. Lett. 52, 1425-1428 (1984). |
C.E. Nielson, A.M. Sessler, and K.R. Symon, in Proc. Int'l Conf. Accelerators, CERN, Geneva, (1959), 17 pages. |
A.A. Kolomenskii and A.N. Lebedev, J. Nucl. Energy C3, 44 (1961), 5 pages. |
Y.Y. Lau and D. Chernin, “A Review of AC Space Charge Effect in Electron Circuit Interactions,” Phys. Fluids B4, 3473-3497 (1992). |
Neil, Kevin V., and Sessler, Andrew M., Longitudinal Resistive Instabilities of Intense Coasting Beams in Particle Accelerators, The View of Scientific Instruments, vol. 36, No. 4, 8 pages, 2013. |
Number | Date | Country | |
---|---|---|---|
20110204785 A1 | Aug 2011 | US |
Number | Date | Country | |
---|---|---|---|
61235812 | Aug 2009 | US |