The present application relates to the reduction of undesired amplitude modulation, and more particularly, but not exclusively, relates to the reduction of residual amplitude modulation in frequency-modulated signals carrying information.
Various techniques for detecting extremely low concentrations of a substance of interest have been developed that involve Frequency Modulation (FM) of a laser beam. These techniques include Frequency Modulation Spectroscopy (FMS), wideband FM, Wavelength Modulation Spectroscopy (WMS), and the like. Generally, the frequency-modulated laser light is directed through an analyte that is characterized by spectral absorption and/or dispersion of the interrogating light. The returned light, an altered form of the interrogating light, is detected and evaluated to determine these spectroscopic characteristics of interest. More particularly, FMS can utilize a one-tone modulation technique or a two-tone modulation technique as is further explained in the article by Silver, Joel A., Frequency-Modulation Spectroscopy for Trace Species Detection: Theory and Comparison Among Experimental Methods, APPLIED OPTICS, Vol. 31, No. 6 (20 Feb. 1992), which is hereby incorporated by reference.
Frequency modulation of laser light typically results in an undesired amount of Amplitude Modulation (AM), so-called Residual Amplitude Modulation (RAM), due to nonideal behavior of the laser and/or other elements of the system. Unfortunately, residual amplitude modulation limits the sensitivity of FM techniques with lasers—functioning as a form of noise that can at least partially obscure spectroscopic information in the output signal.
One scheme to reduce residual amplitude modulation depends on frequency modulation of the laser beam with an Electro-Optic Modulator (EOM). Unfortunately, the frequency modulation index range available with existing EOMs is somewhat limited—such that very high modulation frequencies are needed—correspondingly increasing cost and complexity of the system. Furthermore, suitable EOMs are not available for certain interrogation wavelength ranges that have promising applications.
In principle, it has been recognized that residual amplitude modulation can be avoided by detecting an absorption signal in a phase-sensitive manner when the phase of the residual amplitude modulation is different from the phase of the frequency modulation signal. Generally, it is optimal that this phase difference be 90°. However, this scheme is also limited by very stringent requirements regarding linearity and dynamic range of various system elements. Furthermore, phase of the residual amplitude modulation needs to remain stable for such schemes to be effective.
Still another scheme exists peculiar to lead-salt lasers. For this scheme, the laser is operated at or near an operational limit for which laser output power is generally independent of electric current. Drawbacks of this approach include a limited availability of wavelengths for absorption detection and the adverse impact such operation has on the lifetime of the laser.
Accordingly, there is a need for further contributions in this area of technology.
One embodiment of the present invention is a unique technique for reducing unwanted amplitude modulation. Other embodiments include unique systems, devices, apparatus, and methods for reducing residual amplitude modulation of frequency-modulated signals.
A further embodiment of the present invention includes providing a first light signal that is frequency-modulated with a first modulation index and a second light signal that is frequency-modulated with a second modulation index; controlling a difference between the first modulation index and the second modulation index; and combining the first light signal and second light signal to reduce residual amplitude modulation in accordance with this difference. In one form, the first light signal and the second light signal are frequency-modulated at the same frequency, and the carrier frequency from one to the other is shifted by a predefined amount.
Another embodiment of the present invention includes: providing frequency-modulated light carrying information that is at least partially concealed by undesired amplitude modulation and has a first modulation index; generating other light that is frequency-modulated with a second modulation index and a different carrier frequency; and at least partially nulling the undesired amplitude modulation with the other light to improve detection of the information. In one form, this information may be spectroscopic in nature.
Still another embodiment of the present invention includes a modulated light subsystem to provide a first frequency-modulated light signal with a first modulation index and a second frequency-modulated light signal with a second modulation index, an analyte interrogation region, a feedback device, and a detector. The second light signal has a carrier frequency different than the first light signal. In the interrogation region, the first light signal is directed to an analyte to provide a third frequency-modulated light signal including spectroscopic information about the analyte with residual amplitude modulation. The feedback device is responsive to the first light signal and second light signal to control a difference between the first and second modulation indices, and the detector is responsive to the second light signal and third light signal to provide an output corresponding to the spectroscopic information with the residual amplitude modulation reduced in accordance with the modulation index difference.
Yet another embodiment of the present invention includes means for interrogating a material to provide a first frequency-modulated light signal having a first modulation index that carries spectroscopic information with residual amplitude modulation, means for generating a second frequency-modulated light having a second modulation index, and means for reducing the residual amplitude modulation in accordance with the difference between the first and second modulation indices to improve detection of the spectroscopic information.
Accordingly, one object of the present invention is to provide a unique technique for reducing undesired amplitude modulation.
Another object is to provide a unique system, method, device, or apparatus for reducing residual amplitude modulation of frequency-modulated signals.
Other objects, embodiments, forms, features, advantages, aspects and benefits of the present invention shall become apparent from the detailed description and drawings included herein.
While the present invention may be embodied in many different forms, for the purpose of promoting an understanding of the principles of the invention, reference will now be made to the embodiments illustrated in the drawings and specific language will be used to describe the same. It will nevertheless be understood that no limitation of the scope of the invention is thereby intended. Any alterations and further modifications in the described embodiments, and any further applications of the principles of the invention as described herein are contemplated as would normally occur to one skilled in the art to which the invention relates.
Referring now to
Frequency-modulated light source 30 produces interrogation light signal 32 with a modulation frequency ωm, carrier frequency ωc1, and modulation index β1. Interrogation light signal 32 is transmitted to evaluation region 24 and feedback subsystem 70. Interrogation light signal 32 impinges on substance S in evaluation region 24, at least a portion of which passes through or is returned by substance S as return/response light signal 34. Return/response light signal 34 can be considered a modified form of interrogation signal 32, being selectively changed due to absorption and/or dispersion by substance S in evaluation region 24. Detection subsystem 38 receives return/response light signal 34.
Frequency-modulated light source 40 transmits correction light signal 42, with modulation frequency ωm, carrier frequency ωc2, and modulation index β2. Correction signal 42 is transmitted to both detection subsystem 38 and feedback subsystem 70.
Subsystem 28 further includes frequency reference and control device(s) 60 to provide appropriate reference frequencies, regulators, amplifiers, modulators, and/or other components to modulate sources 30 and 40 at ωm with different center or carrier frequencies ωc1, and ωc2, and different modulation indices β1 and β2, respectively. Accordingly, device(s) 60 are connected by a number of signal transmission links 62 to transmit various control signals. Feedback subsystem 70 is responsive to interrogation light signal 32 and correction light signal 42 to generate feedback signal 72. Feedback subsystem 70 transmits feedback signal 72 to device(s) 60 to regulate the modulation index difference, which is designated Δβ (where: Δβ=β2−β1) Feedback subsystem 70 can optionally regulate the difference between carrier frequencies, which is designated Δω (where: Δω=ωc2−ωc1).
Detection subsystem 38 includes light detector 50 and spectroscopic information processing device(s) 54. Detector 50 senses a combination of return/response light signal 34 and correction light signal 42. The RAM signal of at least one beat frequency between the return/response light signal 34 and the correction light signal 42 is reduced, if not effectively eliminated while preserving the information about substance S, as is more fully described hereinafter. Detector 50 also receives a control signal via one or more of links 62 to extract (demodulate) spectroscopic information from this combination, and generate a corresponding detector signal 52. This control signal is utilized by subsystem 38 to detect the spectroscopic information in the frequency modulated waveform using standard techniques. Detector 50 can be of any suitable type, such as a photodiode or photomultiplier tube, just to name a couple of examples. Device(s) 54 process detector signal 52 to further analyze, store, output, display, indicate, and/or transmit the spectroscopic information determined from signal 52, if/as desired.
Referring generally to system 20 of
E1(t)=E1[1+M1(sin(ω
where: t represents time, i represents an imaginary number unit, E1 represents electric field magnitude, ωc1 represents carrier frequency, M1 represents RAM magnitude, ψ1 represents phase shift of RAM, β1 represents modulation index, and ωm represents modulation frequency as previously designated for signals 32 and 42. It should be appreciated that the modulation index β1 corresponds to the depth of phase modulation, such that the maximum excursion in frequency from ωc is β1ωm. To express equation (a) as a summation over Bessel functions, the following expressions (b)–(e) are defined:
where: a0, a1, and a2, represent frequency expansion coefficients; Jn(s, β1) represents a Bessel function of order s at the point β1 (note the identity: Jn(s, β1)=(−1)sJn(−s, β1) is utiliz respect to the s<0 equation); and k is a summation index. Utilizing expressions (b)–(e), E1(t) can be written as expression (f) as follows:
Representing signal 42 by E2(t), E2(t) can be approximated by expression (g) as follows:
where: Δβ=(β2−β1); Δω=(ω2−ω1); E2 represents electric field magnitud determined in a manner analogous to r1 (s, β1). In the absence of wavelength dependent absorption and dispersion, signal 34 returned by substance S, designated Esig (t, φ0), is given by expression (h) as follows:
where: RET represents returned power fraction, α(s) represents an intensity attenuation (absorption) coefficient at sideband s; φ(s) represents dispersion at sideband s, φ0 represents dispersion at carrier frequency ωc1. It should be appreciated that φ0 is presumed to be between 0 and 2π because a change in roundtrip pathlength (2d) of the signal by wavelength λ changes phase by 2π. Accordingly, φ(φ0,s)=φ0+s·δφ; where δφ0 represents phase shift between adjacent sidebands.
The intensity of the combined signals 34 and 42 at detector 50, designated Idet, is represented by expression (i) as follows:
where: c represents the speed of light, ε0 represents permittivity, and the overbar operator represents the complex conjugate operation. The first squared term of expression (i) corresponds to the component contributed solely by signal 42 and the last squared term of expression (i) corresponds to the component contributed solely by signal 32. The heterodyne term of expression (i) is represented by the sum between the squared terms. The squared terms create detector signals at baseband (DC and low frequencies), at ωm, and at 2·ωm and create noise at these frequencies as well as broadband shot-noise. Only the broadband noise will be significant at the frequency used to extract the information about substance S on signal 34 from the heterodyne term if this frequency is well separated from baseband, ωm, and 2·ωm. From this heterodyne term, the background at the frequency Δω in the absence of absorption and dispersion can be represented by expression (j) as follows:
For β2−β1=Δβ, the following expression (k) represents the term inside the summation operator of expression (j):
A plot of expression (k) demonstrates that the background (including RAM) can be nulled out for selected values of Δβ.
For this simulation, the absolute value, the real, and the imaginary parts of Back (Δβ) are based on calculations on in the interval i, where: Δβ(i)=i/10, and i ranges from 1 to 100.
Laser 140 generates light beam 142. Beam 142 is directed to beam splitter 143. From splitter 143, a portion of beam 142 is transmitted to beam splitter 150, which is identified as residual amplitude addition reduction light 144. Splitter 143 also directs a portion of beam 142 to be combined with feedback input light 133b to form feedback light beam 146 that is directed to subsystem 170. Residual amplitude modulation reduction light 144 and return/response light 134 are combined with beam splitter/combiner 150 to form a corrected evaluation light 152 that is received by detection subsystem 138. Subsystem 138 includes light detector 50 that is responsive to light 152 and a control signal via one or more of links 162 to generate detector output signal 52 representative of desired spectroscopic information about substance S. Typically, detector 50 operates to phase sensitively detect signals 152 at a selected frequency such as Δω or Δω−ωm. Alternatively or additionally, detection based on one or more harmonics may be utilized. Detector output signal 52 is transmitted to spectroscopic information processing device(s) 54 for further processing as desired.
Feedback subsystem 170 defines two feedback loops F1 and F2, corresponding to regulation of Δω and Δβ, respectively. Subsystem 170 includes light detector 172 that is responsive to feedback light beam 146 to generate a corresponding feedback control signal 174. Detector 172 can be of the same type as detector 50. Subsystem 170 further includes Δω servo 180 and Δβ servo 190 that are responsive to signal 174 and control signals provided by links 162 from device(s) 160 to regulate Δω and Δβ, respectively. Servos 180 and 190 can be of a standard type used in feedback systems for the control of laser-based systems and the like. In particular, servo 180 phase-locks the difference in carrier frequencies of lasers 130 and 140 to Δω, adjusting operation of laser 140 as appropriate. Servo 190 mixes signal 174 with an appropriate reference frequency from device(s) 160 to maintain a desired difference in frequency modulation indices, Δβ, selected to reduce or effectively eliminate RAM at a selected detection frequency of a detector 50 of subsystem 138. In one preferred form, where noise contributed by laser 140 is of concern, such noise can generally be reduced by utilizing a lower β2 value relative to β1. In still other embodiments, such aspects may not be of interest. In yet other embodiments, only one laser or other light generation device may be utilized, as provided by the nonlimiting examples depicted in
Undeflected light beam 236 is directed to beam splitter 133. Beam splitter 133 splits beam 236 into interrogating light 133a and feedback input light 133b. Interrogating light 133a is transmitted to substance S and is selectively attenuated by absorption/dispersion of substance S to become return/response light 134.
Subsystem 228 further includes Electro-Optic Modulator (EOM) 240 that receives deflected beam 238 and outputs light beam 242. Beam 242 is directed to beam splitter 143 to provide residual amplitude modulation reduction light 144. Splitter 143 also directs a portion of beam 242 for combination with feedback input light 133b to form feedback light 146. Light 144 and light 134 is combined with splitter/combiner 150 to form corrected evaluation light 152 that has RAM reduced to improve sensitivity. Subsystem 138 includes detector 50, which receives corrected evaluation light 152 and a frequency reference control signal via one or more links 262, and produces a detector output signal 52 in response. Signal 52 includes spectroscopic information regarding substance S. Spectroscopic information processing device(s) 54 receive output signal 52 for further processing as desired.
Feedback subsystem 270 defines feedback loop F3, which corresponds to the regulation of Δβ. Subsystem 270 includes light detector 272 that is responsive to feedback light 146 to generate a corresponding feedback control signal 274. Detector 272 can be the same type as detector 172. Subsystem 270 further includes Δβ servo 290 that is responsive to signal 274 and a frequency reference control signal received via one or more links 262 to generate Δβ regulation signal 292. Servo 290 mixes signal 274 with the reference frequency from device(s) 260 to maintain a desired difference in frequency modulation indices, Δβ, selected to reduce or effectively eliminate RAM at a selected detection frequency at detector 50 of subsystem 138.
Referring now to
Deflected laser beam 334 is directed by directing device 237 to beam splitter 143. Beam splitter 143 provides residual amplitude modulation reduction light 144, which is combined with return/response light 134 at beam splitter/combiner 150 to form corrected evaluation light 152. Beam splitter 143 also directs a portion of beam 334 for combination with feedback input light 133b to form feedback light 146. Subsystem 138 includes light detector 50, which receives corrected evaluation light 152 and reference frequency signals via one or more links 362 from device(s) 360. Detector 50 responds to evaluation light 152 by generating a corresponding detector output signal 52. Detector output signal 52 is received by spectroscopic information processing device(s) 54 for further processing of spectroscopic information, as desired.
Feedback subsystem 370 defines feedback loop F4, which regulates Δβ. Subsystem 370 includes light detector 372 and Δβ servo 390. Detector 372 generates feedback signal 374 representative of feedback light 146. Detector 372 can be of the same type as detector 50. Servo 390 receives feedback signal 374 from detector 372 and correspondingly adjusts Δβ via one or more signals from links 362 to device(s) 360. In one form, AOM 330 is frequency modulated to provide Δω by device(s) 360 and the depth of the frequency modulation is controlled by servo 390 via device(s) 360; where the input to AOM 330 varies as cos(Δω*t+A*sin(ωm*t)). This input signal is more complex than a pure sinusoid as is typically input for AOM 234 of system 220.
The teachings of the present invention can be utilized in a number of different modulation approaches, including single and multi-tone heterodyning, optical heterodyne mixing systems, optical resonator systems and the like to reduce RAM. As an optical heterodyne application, it should be appreciated that the return/response signal from the substance under investigation is boosted above the noise level at the detector by providing the correction light to the detector at a sufficient power level. As used herein, “frequency modulation” and “frequency-modulated” include modulation techniques that vary by phase shift on the order of 360° (2π radians) or less (sometimes called phase modulation) as well as those resulting in frequency changes or phase changes of 360° (2π radians) or more. Further, it is envisioned that the techniques of the present invention could be applied to frequency-modulated electromagnetic radiation with a wavelength outside the spectral range traditionally considered to define light (infrared, visible, ultraviolet), such as x-rays, to name one nonlimiting example. Further, in other embodiments, the implementations and embodiments described in connection with systems 20, 120, 220, and/or 320 can be combined or modified as would occur to those skilled in the art. In still other embodiments, RAM reduction by utilizing a Δβ can be provided without feedback, such that an open-loop, preset, value, and/or feedforward type of arrangement is alternatively utilized, just to name a few alternatives. For such non-feedback systems, a second detector and/or other feedback element need not be included. In yet other embodiments, feedback may be combined with feedforward and/or other control techniques as would occur to those skilled in the art.
Further, any theory, mechanism of operation, proof, or finding stated herein is meant to further enhance understanding of the present invention, and is not intended to limit the present invention in any way to such theory, mechanism of operation, proof, or finding. While the invention has been illustrated and described in detail in the drawings and foregoing description, the same is to be considered as illustrative and not restrictive in character, it being understood that only selected embodiments have been shown and described and that all equivalents, changes, and modifications that come within the spirit of the inventions as defined herein or by the following claims are desired to be protected.
This invention was made with Government support under Contract Number DE-AC0676RLO1831. The Government has certain rights in the invention.
Number | Name | Date | Kind |
---|---|---|---|
4034285 | Ashley et al. | Jul 1977 | A |
4305666 | Becherer et al. | Dec 1981 | A |
4398293 | Hall et al. | Aug 1983 | A |
4523847 | Bjorklund et al. | Jun 1985 | A |
4590597 | Long-sheng et al. | May 1986 | A |
4594511 | Cooper et al. | Jun 1986 | A |
4856009 | Hall et al. | Aug 1989 | A |
4856899 | Iwaoka et al. | Aug 1989 | A |
4905244 | Wyeth et al. | Feb 1990 | A |
5070260 | Wong | Dec 1991 | A |
5267019 | Whittaker et al. | Nov 1993 | A |
5285308 | Jenkins et al. | Feb 1994 | A |
5293213 | Klein et al. | Mar 1994 | A |
5317156 | Cooper et al. | May 1994 | A |
5339177 | Jenkins et al. | Aug 1994 | A |
5347392 | Chen et al. | Sep 1994 | A |
5441054 | Tsuchiya | Aug 1995 | A |
5477368 | Eskildsen et al. | Dec 1995 | A |
5502562 | Werle | Mar 1996 | A |
5566381 | Korotky | Oct 1996 | A |
5636035 | Whittaker et al. | Jun 1997 | A |
5644123 | Hait | Jul 1997 | A |
5771255 | Horiuchi et al. | Jun 1998 | A |
6094267 | Levenson et al. | Jul 2000 | A |
6356350 | Silver et al. | Mar 2002 | B1 |
6400449 | Maris et al. | Jun 2002 | B2 |
6483582 | Modlin et al. | Nov 2002 | B2 |
20020093716 | Hiraizumi | Jul 2002 | A1 |
Number | Date | Country |
---|---|---|
0 373 945 | Feb 1994 | EP |
0 720 313 | Jun 1999 | EP |
Number | Date | Country | |
---|---|---|---|
20050094149 A1 | May 2005 | US |