The field of the invention is photonic signal processing, especially switching or temporally gating low-power optical signals as may be useful in quantum information processing or measuring laser radar (lidar) return signals.
Low intensity optical signals, especially sub-photon signals or signals that maintain some unique quantum properties such as entangled photons, are sensitive to loss and added noise. Switches are commonly used as a tool to control optical signals, for instance in optical communication networks. The switch technologies tend to either be slow (e.g. 1 MHz switching) but capable of having low losses (e.g. <1.5 dB), or fast (>100 MHz) but more lossy (e.g. 3 dB). Slow switches are adequate for many purposes such as network reconfiguration, but some applications may require high speed switching or modulation. Optical amplifiers can be used to compensate for loss, but small optical signals, especially quantum signals or low-photon optical pulses that do not have a precisely known temporal location prior to measurement (such as a lidar return signal), can get swamped by the added noise of such amplifiers eliminating such amplifiers from consideration. Such signals would benefit from a low loss, low noise, and high speed switch.
One switching method that is capable of low loss, say <1 dB of insertion loss, that can also be fast and low noise is the use of cross phase modulation (XPM) in optical fiber. Such switches have been demonstrated to work for quantum signals in the 1310 nm band using pump photons in the 1550 nm band [M. Rambo, et al. “Low-loss all-optical quantum switching.” Photonics Society Summer Topical Meeting Series, 2013 IEEE. IEEE, 2013]. This choice is convenient since 1550 nm is a well-developed technology because of its use in telecommunications, where 1550 nm is of special significance because it is the lowest loss wavelength in typical optical fibers. It is helpful for the pump wavelength to be longer than the signal wavelength since this reduces spontaneous Raman photon generation which is an important noise source. Furthermore, 1310 nm is still a reasonably low loss wavelength in fiber. 1550 nm and 1310 nm are separated by about 36 THz in frequency space. This large frequency separation in combination with the pump being at the longer wavelength which creates reduced Raman scattering allows the Raman scattering levels to be well controlled.
The XPM switch has been used thus far in applications where the input pulse location is known. The pump location can thus be appropriately set with respect to the incoming input pulse location. In many applications such as pulse characterization or lidar return signal evaluation the pulse location and/or its temporal profile are not known.
The XPM switch would be much more useful if it worked for signals in the technologically important wavebands from 1500-1610 nm. A straight forward design change of the previously demonstrated XPM switches would then use a ˜2 μm pump laser to maintain a similar optical frequency separation between the pump and signal in order to maintain low Raman noise. This is inconvenient since 2 μm is a less well developed technology, and it is fairly lossy in Silica optical fibers thereby limiting the length of the longest nonlinear fiber that can be used. Moreover it is desirable if the pump and signal wavelengths have a similar group velocity leading to a low group velocity mismatch (GVM), that is to say that pulses at the pump and signal wavelength propagate at nearly the same velocity, and standard fibers like SMF-28e have large GVM between these two wavelengths since they are both on the same side of the zero dispersion wavelength and separated by a large wavelength difference. For a short pump pulse, a given GVM in ps/m, and a given desired switching window τsw is ps, the length of nonlinear fiber LNL is limited to LNL≤τsw/GVM. For a given switching window a large GVM thus limits the length of nonlinear fiber. Put another way, the walk-off delay induce by GVM is τD=LNL·GVM and the switching window can be estimated as τsw2=τD2+τpump2, where τpump is the temporal duration of the pump pulse. The minimum switching window occurs when using a pump pulse much shorter than the group velocity walk-off delay in which case the switching window is the group velocity walk-off delay.
To obtain a desired π phase shift a pump power of at least Ppump=π/(γ·LNL) is needed, where γ is the nonlinear parameter of the fiber in units of (W·km)−1. Thus a large GVM leads to high required pump switching powers. High powers can be inconvenient, and eventually there are limitations due to for instance optical fiber fusing that prevent too much average power from being injected into the fiber.
To address the large GVM one could try to engineer a specialty fiber as the nonlinear fiber, for instance engineering the fiber to shift the zero dispersion wavelength to, say, 1750 nm which is in-between the pump and signal wavelength. Or one can engineering the fiber to have higher levels of nonlinearity. Such fibers which would likely have large splice loss to the standard fiber used for the rest of the switch components and a large splice loss to the input signal that is likely transmitted in a standard fiber. Alternatively, standard fiber could be used in the switch and a dispersive element with opposite dispersion as the standard fiber could periodically be inserted into the nonlinear fiber to ‘readjust’ the pulse timing between the pump and signal thus making the average GVM small (periodic dispersion compensation). This solution would also adversely impact the insertion loss of the signal, which is a critical metric especially for sub-photon quantum signals such as entangled photons.
What is needed is a low loss, high speed, low noise switch that can work near the communications wavelength band (e.g. 1550 nm) but can be built using more established technology. Ideally the nonlinear fiber should be a standard fiber for this wavelength such as the Corning SMF-28e fiber. The switch should be compatible with efficiently handling cases where the input signal arrival time is unknown. The switch can optionally be configured to have a periodic transfer function in the optical frequency of the input signal. Ideally the switch can control the splitting ratio of an input optical signal to one or more output ports, where a single output port is essentially a variable attenuator or an on/off switch. For cases with two output ports, the pump power can control the splitting ratio between the two ports, including full switching where 100% of the light exits one output port or the other, or partial switching where the input light is deterministically split between the two ports.
We describe a system and method for controlling optical signals. The system is a switch that is controlled using XPM from a pump. The pump signal may be pulsed via direct modulation to improve extinction ratio or eliminate the need for a pump external modulator. The pump pulse is in the technologically friendly 980-1090 nm band, typically near 1064 nm. This choice allows the nonlinear fiber to be standard single mode fiber having a zero dispersion wavelength between the pump and signal wavelength, typically between 1250 and 1380 nm, including standard fiber such as SMF-28e fiber, which helps to maintain the lowest possible loss and a low cost while still allowing for power efficient interactions with signal wavelengths in the technologically important 1500-1610 nm bands. The fiber may support multiple spatial modes at the pump wavelength, but the pump is injected so as to excite primarily the fundamental spatial mode. The choice of pump wavelength is convenient as there are many useful components available in this wavelength band such as high quality optical amplifiers. The design is compatible with low insertion loss, narrow switching windows, and low added noise.
Although the pump is at a shorter wavelength than the signal, a condition that leads to increased undesirable Raman scattering, the optical frequency separation between the pump and signal are >75 THz apart thus keeping Raman noise reasonably small even for single-photon input signals. For instance, the net Raman generated noise can be <10−3 noise photons/pump pulse allowing high signal-to-noise ratios even with sub-photon input signals.
The switch is formed in an interferometer. If the interferometer paths are physically separated (i.e. not configured in a Sagnac Loop) then the internal interferometer phase may need to be actively stabilized. A locking wavelength signal of a different wavelength than the signal wavelength is used to lock (stabilize to a desired setting) the interferometer phase (phase difference between arms of the interferometer). This is done by setting the internal phase at the locking wavelength appropriately via a feedback scheme (using a locking method that can lock to any desired internal phase, e.g. Freschi, A A and Frejlich, J. 1995. Opt. Lett., 20: 635-637), typically such that the interferometer phase at the signal wavelength is a value of 0 or π. This configuration where the locking wavelength and the signal wavelength do not need to have the same interferometer phase puts less of a constraint on a relationship between the locking wavelength and a signal wavelength and especially constraints on operation when the interferometer is asymmetric such that the delay difference between the two arms of the interferometer δτ is not zero and thus the interferometer transfer function (or equivalently the interferometer phase) is a function of optical frequency (or equivalently optical wavelength). The locking wavelength signal can be made to back-propagate through the interferometer in the opposite direction as the signal and pump in order to reduce cross-talk from the locking wavelength into the interferometer output and to decouple the pump XPM from the measurement of the interferometer phase (XPM in the backward direction is minimal). Locking to a locking wavelength also enables the interferometer to stay locked even when the signal is not present for long periods of time, which may for instance occur in lidar applications.
The pump power can be adjusted to alter the splitting ratio between a signal at an input port and one or more output ports. For the case of a single output port altering the splitting ratio is equivalent to altering the transmission loss through the switch. The splitting ratio is dependent on the sum of the internal phase of the interferometer and the XPM induced phase shift, thus since the XPM induced phase shift is pump power dependent the splitting ratio can be controlled via the pump power.
The system can measure signal pulse trains that arrive at unknown times in a fast and efficient manner. This is accomplished by measuring the signal pulse location first with coarse resolution, then with fine resolution using narrow temporal gates allowed by using short pump pulses in the XPM optical switch. After the coarse measurement the fine measurement can be performed over a more limited temporal range thus making it more efficient. Information from the fine measurement is used to configure the pump pulse location using a pump generator which can control the temporal pump pulses on a fine temporal resolution to subsequently control the switch's temporal gate of the signal. Typically the signal will be measured with a sensitive photodetector, including the use of a single photon detector (SPD). The initial coarse resolution measurement can use the inherent temporal resolution of the SPD τSPD. The fine resolution measurement should have substantially finer temporal resolution such as <0.2·τSPD, where the fine resolution is obtained by choosing pump pulse widths and controlling the relative temporal location between the pump and signal pulses on a temporal scale <0.2·τSPD.
The process of measuring a coarse and fine resolution can be implemented by various means, such as initially using a temporally wider pump pulse to coarsely find the signal temporal location. Once the signal pulse location is coarsely determined, then a narrower pump pulse is configured to scan the coarsely determined temporal location to measure the signal location and/or signal pulse shape with higher resolution.
Scanning the relative location of the pump pulse train with respect to the signal pulse train allows the temporal localization of the signal pulse train, and such a scanning can be accomplished by a setting the repetition rate of the pump pulse train so that fpulse=(m1/m2)fpump, where m1 and m2 are integers, fpulse is the signal pulse repetition frequency, and fpump is the pump repetition frequency. If the switching window is shorter than the input signal pulse-width then it is also possible to measure the input signal pulse shape by scanning the pump pulse train with respect to the signal pulse train.
An alternate implementation could use just one detector, first without a pump to coarsely determine the pulse location using the timing resolution of the detector itself, and then using narrow pump pulses to time-gate the detector on a finer temporal grid. In this case, the internal phase of the interferometer can be shifted between the coarse and fine measurement such that the same detector measures the signal when the pump is not present for the coarse measurement and when the pump pulse is present during the fine measurement.
In the following description, for purposes of explanation, numerous specific details are set forth in order to provide a thorough understanding of the invention. It will be apparent, however, to one skilled in the art that the invention can be practiced without these specific details.
Reference in this specification to “one embodiment” or “an embodiment” means that a particular feature, structure, or characteristic described in connection with the embodiment is included in at least one embodiment of the invention. The appearances of the phrase “in one embodiment” in various places in the specification are not necessarily all referring to the same embodiment, nor are separate or alternative embodiments mutually exclusive of other embodiments. Moreover, various features are described which may be exhibited by some embodiments and not by others. Similarly, various requirements are described which may be requirements for some embodiments but not to other embodiments. In general, features described in one embodiment might be suitable for use in other embodiments as would be apparent to those skilled in the art.
An embodiment of the invention is shown in
The signal and pump co-propagate through a nonlinear fiber [106] that induces the XPM. The nonlinear fiber is composed of a fiber that has a single spatial mode at the signal wavelength, which is in the 1500-1610 nm band. The fiber has a zero dispersion wavelength between the pump and signal wavelength, and typically between 1250-1380 nm. All the fibers that the signal passes through are of a similar fiber type with similar mode size so they can be spliced or connected together with low loss. The nonlinear fiber can have multiple spatial modes at the pump wavelength, which is in the range of 980-1100 nm. This fiber will henceforth be called standard fiber, which could be for example Corning SMF-28e or similar fiber. Such a fiber has low waveguide dispersion keeping the zero dispersion of the fiber in the desired range. The pump light that is coupled into the standard fiber is coupled so that it primarily excites the fundamental mode of the standard fiber at the pump wavelength. In so doing the standard fiber behaves almost as if as it was single moded at the pump wavelength, provided the fiber does not couple the fundamental pump spatial mode to the higher order pump spatial modes which is typically true for the short (e.g. 1 km) fiber lengths of interest. These choices of parameters allow for a power-efficient nonlinear interaction with low loss in optical fibers. A second WDM [108] removes the pump light after the nonlinear interaction.
The other interferometer arm consists of a fiber polarization controller [110], a second length of fiber [112] to set the differential path length between the two arms of the interferometer to a desired temporal delay difference value of δτ where in this case δτ=0 which indicates a broad band switch. The frequency transfer function of the switch has a periodicity of 1/δτ and thus the frequency transfer function of the switch is flat (infinite frequency periodicity) when δτ=0. For instance, if the two paths are matched to within 1 ps then the frequency transfer function has a periodicity of about 1,000 GHz and thus input optical frequencies separated by <100 GHz will have similar transfer functions. The MZI also contains a phase shifter [114] to control the splitting ratio of the switch when the pump is not present. The signal in both interferometer arms are combined in an output 50/50 coupler [116] creating two output ports. Other output couplers such as a 2×1 coupler that would create a single output port could also be used.
A locking signal at a locking wavelength that is sufficiently different from the signal so as to be easily spectrally filtered (e.g. >0.8 nm away) is injected into a low-tap coupler [118] such as a 95/5 splitting ratio coupler that will have very little loss at the signal wavelength but higher loss at the locking wavelength. A wavelength division multiplexer (WDM) coupler could also be used which would preserve more of the locking wavelength power but would likely have more insertion loss for the signal. The locking wavelength propagates backwards through the interferometer and a portion is tapped off in a second low-tap coupler [124], then measured in an optical-to-electrical converter [126] that is fed to phase feedback electronics [128] that generates a feedback signal to send to the phase shifter to phase-lock the interferometer. The phase difference between the two arms of the interferometer at the locking wavelength can be set to any desired value over the full range of 0-360°. Typically a dither is applied on either the phase shifter [114] or if the interferometer arm path-lengths are imbalanced (δτ≠0) a dither can be applied to the wavelength of the locking signal so that the internal phase of the interferometer can be measured and locked. The locking signal does not have to propagate backwards through the interferometer, but doing so can reduce leakage issues from the locking signal into the output ports and helps to decouple the measurement of the inherent interferometer phase from the pump since the pump and locking wavelength do not efficiently interact in this direction.
The ability to stabilize the interferometer phase at the locking signal to any value allows the performance of the switch at the signal wavelength to be controlled without placing many constraints on the wavelength difference between the signal wavelength and locking wavelength. The signal and locking wavelength both need to be suitably stable, say each having a total variation in optical frequency of δf<(1/20)·(1/δτ), but the exact wavelength separation of the two lasers can be chosen over a wide range. This allows more choice in the locking wavelength, which could for instance be stabilized to some known but fixed wavelength using a gas cell like Acetylene. Locking the interferometer using a locking wavelength signal is more robust than trying to use the potentially low power input signal which in some cases can have less than one photon per pulse or per switching window and in some cases may have no photons for an extended period of time.
The invention could also be realized in a Sagnac loop which has a stable phase relationship between the two interferometer paths which are now realized as two propagation directions around a loop, as is known in the art. Such a design is incorporated into the invention. The benefit of the Sagnac loop is its phase stability thus negating the need for a locking method. A drawback is that to have two output ports a circulator is required which increases the insertion loss of the device. The Sagnac loop is a good design choice when only one output port is required.
The switching window τSW generated by a pump pulse is determined both by the pump pulse duration τpump and the group velocity mismatch (GVM) between the pump and signal in the nonlinear fiber, which can be specified as a walk-off delay time of τd. Roughly speaking we can estimate the gated switching window as τSW˜(τpump2+τd2)0.5.
The interferometer has two outputs OutA [130] and OutB [132]. The presence of a pump pulse shifts the mapping of the input ports to the output ports. For example, if no pump is present then a signal sent to INA exits OUTA and a signal sent to INB exits OUTB, while if a pump is present that generates a π XPM phase shift then the outputs are switched so that a signal entering INA exits OUTB and a signal sent to INB exits OUTA. The mapping from INA and INB to the outputs can be written as OUTA=INA·Cos2(ϕ+ϕp)+INB·Sin2(ϕ+ϕp) and OUTB=INA·Sin2(ϕ+ϕp)+INB·Cos2(ϕ+ϕp), where ϕ is the internal phase difference between the interferometer paths at the signal wavelength and ϕp is the XPM phase shift applied by the pump pulse (when present). Typically ϕ=0 or π and ϕp=π, which is the switching function where the output port that either input port is sent to depends on if the pump is or is not injected into the switch.
For the purposes of an example, assume the SPD has a temporal resolution of 200 ps and requires a dead-time of 10 μs. Also assume for now that we know the input signal pulse period is Trep, but do not know the arrival time of the pulse train of low-photon signal pulses. A first course measurement of the signal pulse train arrival time can be made by turning the pump off (or if the pump pulse duty cycle is low enough one can even leave it on as it will have minimal effect since the short pump pulse is unlikely to arrive at exactly the same time as the signal). The switch interferometer phase is configured so that the input signal when the pump pulse is off goes to OUTA which is detected by the output optical detector [202]. After a photon is detected its arrival time is now known to a precision of about the detector temporal resolution τdet or about 200 ps. This time interval over which the system knows that the incoming pulse is localized to can be called the coarse arrival time τcoarse, which could be reduced by averaging M such single photon detections to a value of τcoarse˜τdet/√M. In other words, detecting many pulses can help to reduce the temporal arrival time uncertainty. The invention aims to improve the ability to measure the temporal arrival time of the pulses over simply measuring multiple pulse arrival times with the SPD.
The switch phase is now configured so that the signal only hits the optical output detector when the pump is on (by adding an additional π internal phase shift). The gate feedback electronics configures the pump temporal duration (thus also the switching gate τsw if τd<<τpump, which is assumed here) so that τsw<0.2·τcoarse, say in this case τsw is 100 times smaller than τcoarse or τsw=200 ps/100=2 ps. The gate feedback electronics scans the pump location in fine increments smaller or approximately the same as τsw or in this case about 2 ps steps over the coarse arrival time. In so doing 100 steps are used to finely scan the pulse location with 2 ps duration (resolution) over τcoarse. The use of different coarse and fine temporal measurements is depicted in
As an example of the utility of this method, assume that Trep=20 ns. To scan this entire duration in 2 ps steps would require 10,000 steps or when averaging over 20 pulses per step 200,000 pulses. This brute force scanning method that does not employ both a course and a fine resolution would also localize the pulse location to 2 ps. A simplified diagram of a scheme that scans the fine gate time over the entire repetition rate is shown in
Another way to try to measure the incoming signal pulse location to 2 ps resolution would be to use count averaging. This would require M˜1002=10,000 counts. Given the 20% probability of detecting a pulse this is about 50,000 optical pulses. However, by using the course and fine capability of the invention we only need a small number of counts (say 1 or 2) to initially localize the pulse to 200 ps, then about 100 steps to find the pulse to 2 ps resolution. This is much more efficient, especially if the detector dead time is large which necessitates that a large number of counts will take a correspondingly large amount of time. In this case the time to localize the pulse can be reduced by a factor of 50,000/2,000=25× by using the invention as described.
Note that by scanning the location of τsw we can also measure the incoming pulse shape, even when the pulse duration is much smaller than the detector temporal resolution τdet. This is because the effective temporal resolution of the detection is now set by τsw which can be designed to be much smaller than τdet. If we define a pulse to be well characterized if its temporal width is 5 or more times the measurement temporal resolution then the detector alone can measure the shape of ˜1 ns pulses but by using the switch with the aforementioned parameters a pulse resolution of ˜10 ps is possible.
The use of a coarse and fine temporal detection time can be embodied in many ways, including widening the pump pulse duration to have a first longer gate width (switching window) that spans a given fraction of the repetition period to initially determine the input signal pulse position to a coarse resolution, followed by then using a shorter pump pulse and thus a shorter gate width of a duration that is a fraction of the course resolution.
It is possible to use detectors with different characteristics on both output ports of the switch and use the switch to control which detector is used at any given time. We note that in many cases one will want to optimize the pump temporal position to optimally operate on the signal pulses by overlapping them in time at the nonlinear fiber. The coarse and fine temporal detection technique can be used to determine the optimal pump pulse location in an efficient way.
The ability to measure pulse shape can also be implemented by using a pump pulse repetition rate that is different from the signal pulse repetition rate. This effectively scans the pump pulse location with respect to the signal pulse location. The invention would allow such a measurement for very low power signals because of the low noise interaction that is embodied by the wavelength choices previously noted. Other methods of optical sampling like the use of four-wave mixing gain will work for macroscopic signals but are too noisy for very small signals especially signals that have less than or about one photon per pulse.
As an example, if the incoming pulse has a period of Tperiod=1 ns(fsignal=1 GHz), and the pump pulse has a period of (n/m)·Tperiod, where n and m are integers then the relative location of the pump and signal pulses will shift in a predictable way scanning the pump location over the repetition period. Setting n=99 and m=100 would mean the pump pulse is shifted by 1% of 1 ns or 10 ps with respect to the signal pulse subsequent period, with the pattern repeating every 100 periods. Creating a count histogram of the total singles count in every relative pump-to-signal temporal location will produce a measured signal pulse shape with 10 ps resolution.
The switch can be configured to operate as both a temporal and frequency domain switch by choosing δτ≠0. A transfer function of the switch outputs as a function of wavelength is shown in
Foregoing described embodiments of the invention are provided as illustrations and descriptions. They are not intended to limit the invention to precise form described. In particular, it is contemplated that functional implementation of invention described herein may be implemented equivalently in other available functional components or building blocks. Other variations and embodiments are possible in light of above teachings, and it is thus intended that the scope of invention not be limited by this.
The current patent application claims priority to U.S. provisional application No. 62/485,499 filed Apr. 14, 2017.
The United States Government has certain rights to this invention pursuant to contract W911QX-17-P-0015 from the US Army.
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