Determining gas absorption line from separate and alternating RF signals

A method to detect a gas absorption line that includes alternately transmitting and sweeping two radio frequency (RF) signals through an absorption cell, wherein the two RF signals are transmitted at different frequencies separated by a range and are swept across a span of frequencies in a microwave and millimeter wave regions of a frequency spectrum. Receiving the RF signals by a receiver and analyzing the received signals by a closed loop system for relative absorption by a gas due to an absorption line of the gas in the span of the swept frequencies. Detecting the absorption line of the gas when the two RF signals straddle the gas absorption line and the relative absorption by the two RF signals is equal.

BACKGROUND

Spectroscopy and spectrometers may be used as various measurement and reference tools. They may use an array of measurement techniques on just about any form of matter. The measurement techniques may depend on the material of interest, which may dictate what frequency/wavelength may be best suited for the measurements. Spectrometers, for example, may be suited to measure emission or absorption spectrums. Further, absorption spectrometers may specifically look for characteristic absorption lines of the material. The absorption lines may be used to identify an unknown substance from a catalogue of known spectrums, or it may be used to detect the amount of that known substance in a sample. In general, spectroscopy principles may be used for various measurements or to define a reference based on frequency or wavelength.

SUMMARY

A method, device and system for detecting and tracking the center frequency of an absorption line is described herein. One embodiment is a method that includes alternately transmitting and sweeping two radio frequency (RF) signals through an absorption cell, wherein the two RF signals are transmitted at different frequencies separated by a range and are swept across a span of frequencies in a microwave and millimeter wave regions of a frequency spectrum. Receiving the RF signals by a receiver and analyzing the received signals by a closed loop system for relative absorption by a gas due to an absorption line of the gas in the span of the swept frequencies. Detecting the absorption line of the gas when the two RF signals straddle the gas absorption line and the relative absorption by the two RF signals is equal.

Another embodiment includes a system for detecting an absorption line of a gas that includes a processor, a signal generator coupled to the processor, a transmitter coupled to the signal generator configured to generate two radio frequency (RF) signals. Each RF signal generated at a different frequency and are separated by a set frequency range. The two RF signals are alternately transmitted, and are swept across a span of frequencies in a microwave and millimeter wave region of a spectrum to detect an absorption line of the gas. A receiver coupled to the processor, an absorption cell filled with a gas at a pressure, wherein the transmitter transmits the two RF signals through the absorption cell and the two RF signals are detected by the receiver. And a detector module to compare the amplitudes of the two received RF signals and to determine when an absorption line of a gas is detected based on a difference in the amplitudes between the two RF signals.

Yet another embodiment is a gas absorption line detecting and tracking device that includes an absorption cell filled with a gas, a transmitter to transmit RF signals through the absorption cell, a receiver to receive the RF signals, and a control module coupled to the transmitter and the receiver to detect an absorption line of the gas using a frequency-shift keying (FSK) detection scheme operating in a microwave and a millimeter wave frequency region of a spectrum.

NOTATION AND NOMENCLATURE

DETAILED DESCRIPTION

Conventional spectrometers utilize a wide array of probing and measurement techniques depending on the material being measured and the characteristic(s) of interest. As used herein, “probing” may mean a radiation signal impinging on or transmitted through the material being measured. It is the interaction of the material being measured with the probe signal that may produce the measured spectrum. As such, spectrometers may be designed to detect and measure reflection, transmission, or excitation, to name a few examples. Additionally, a single material may have different mechanisms excited and observed at different frequencies within different frequency ranges. For example, a gas may display absorption due to the excitation of vibrational states of the gas in one frequency range and then display absorption at a different range of frequencies associated with rotational excitation. Electron excitation within the gas molecules may occur at a third range of frequencies. In short, depending on what aspect of a material is desired to be studied and measured, different excitation and measurement mechanisms may be used.

Spectroscopy utilizes radiation energy to probe the material being measured. For example, to measure the absorption spectrum of air, electro-magnetic (EM) radiation at different frequencies in the form of radio-frequency (RF) signals may be transmitted through a sample of air in a gas cell. The transmitted signal may be detected and measured after the RF signals exit the cell. The resulting spectrum may display different absorption/transmission characteristics of the air for the frequencies transmitted, or measured. Further, the RF signals may be modulated before transmission to aid in their detection. Modulation schemes may include amplitude modulation (AM), frequency modulation (FM), and frequency-shift keying (FSK), to give a few examples. As noted, the modulation scheme may help detect the signal from noise or any background radiation at those frequencies.

In the case of absorption spectroscopy, the measured signal may show a decrease in magnitude compared to the transmitted signal with the decrease in magnitude representing the amount of absorption by the gas at that frequency. As such, an absorption spectrum over a series of frequencies may show different absorption characteristics at various frequencies within that series that correlate to a rotational or vibrational excitation state, or, in other words, an absorption line of the material. Because the absorption lines correlate to a physical excitation of the material, the center frequency of that excitation should remain roughly constant, with only minor shifts due to pressure and temperature changes.

The shape of the absorption line, however, may vary due to environmental conditions of the sample. An ideal absorption line would be a delta function, but in reality, the absorption line has a width that covers a small range of frequencies. The width of the range, or the width of the absorption line, may be due to the environmental factors, for example temperature or pressure. The width of the absorption line may indicate excess energy of the sample. At high pressures the absorption line may be very wide and difficult to discern from the rest of the measured spectrum. At very low pressures, there may not be enough gas in the cell to permit a reliable measurement. As such, a range of preferable pressures may give reliable, repeatable, measurements. Temperature changes may impart the same effects to the sample.

The measurement's reliability and repeatability may also be affected by the modulation scheme used by the spectrometer. The use of FM, AM or FSK modulation may create a more detectable signal at the detector due to the detector being tuned to those modulation schemes. Additionally, FSK, which uses two probing signals, may allow the spectrometer to more easily lock in on and track an absorption line of the material since the two signals may be positioned around the absorption line and a feedback mechanism used to vary the two signals as necessary so that they remain in the same positions with respect to the absorption line.

Disclosed herein are devices, systems and methods that detect and track an absorption fine of a gas in the millimeter-wave (mmwave), microwave, and/or terahertz (THz) regions of the EM spectrum. The detection and tracking of the absorption may use the FSK modulation scheme and a closed-loop control module that allows locking in on and tracking the center frequency of the absorption line. The closed-loop control module may use an error signal generated by the FSK modulation scheme as a factor in the control function of the module. Further, the two tones of the FSK scheme may be used to detect and track the 183.31 GHz absorption line of water.

FIG. 1shows a block diagram of a spectrometer100which may be used for the detection and tracking of a gas absorption fine in accordance with various embodiments described herein. The spectrometer100may comprise an absorption cell102(the absorption cell102may also be referred to herein as the cell102), a signal generator104, a closed-loop control module106, and a detector module108. In addition, the spectrometer100may also comprise a transmitter110with an associated antenna112and a receiver114with an associated antenna116. The transmitter110and the receiver114, via their respective antennas112,116, may be used to transmit and receive EM radiation energy in the mmwave, microwave and/or THz regions of the EM spectrum. As such, the transmitted signals may range in frequency from the low gigahertz range to the upper THz range.

The cell102may be filled with a gas at a pressure and may be of varying lengths. The pressure of the gas in the cell102may range from 0.01 mbar to 10 mbar. The length of the cell102may affect the signal-to-noise ratio of the received signal and may also affect the length of time the spectrometer100takes to detect and lock in on an absorption line of the gas. The absorption cell may include valves and pumps (not shown) so that the gas within the cell102may be changed and/or the pressure of the cell102may be adjusted to a desired level. The temperature of the cell102may also be adjustable (not shown). In accordance with various embodiments, the cell102may be filled with air at about 0.1 mbar of pressure.

FIG. 2Ais a representative plot of an absorption spectrum200including two tones used for measuring the spectrum200of the gas in the cell102. The absorption spectrum200shows an absorption line202and two RF signals or tones—f1204and f2206. The x-axis of the absorption spectrum200may be in units of frequency (Hz), wavelength, or wavenumber and the y-axis may be in units of magnitude representing the signal strength and may be in volts or relative transmission (percentage, dB, or unitless). The signal generator104may alternately generate the two tones204and206, separated by a set frequency range, e.g. less than 1 MHZ. Alternatively, the range separating the two tones204,206may be set equal to the bandwidth of the absorption line of interest or to the point of maximum slope of the absorption line as is shown inFIG. 2Aat points208and210. Setting the range separating the two tones to intersect with the absorption line at the point of maximum slope, points208,210inFIG. 2A, may assist with increasing the signal-to-noise ratio in the measured signal and may allow for faster tracking of the absorption line. The two tones204,206may be swept across a span of frequencies in lock step while keeping the range separating them constant. Further, the frequencies at which the two tones204,206are generated may be alternated between at a 50% duty cycle so that each tone is generated separately. The two tones204,206generated by the signal generator104may be transmitted by the transmitter110/antenna112combination into and through the cell102.

The receiver114, via the antenna116, receives the transmitted tones204,206after they have passed through the cell102. The receiver114communicates the received signals to the detector module108. The detector module108may generate a square wave out of the two received tones. The square wave may represent the relative absorption of the two tones by the gas in the cell102.

FIG. 2Bis a representative plot of a square wave212generated by the detector module108from the two received FSK tones. The square wave212comprises two signal levels214and216, with the signal levels representing the magnitude of the received signals, and an offset218. The x-axis of the square wave212may be in units of time and the y-axis may be in arbitrary units of magnitude, voltage or relative absorption. Signal level214may correspond to the received signal208while signal level216corresponds to the received signal206, or the correspondence may be reversed. A square wave212may be produced by the detector module108due to the two tones204,206experiencing different amounts of absorption by the gas in the cell102. When the two signals are absorbed by different amounts the offset218is produced in the square wave. In other words, the square wave212, and more specifically the offset218, may represent and may be proportional to the difference along the frequency axis the two tones204,206are from the center frequency of the absorption line202. Or, the offset represents how far the middle point of the range separating the two tones is from the center frequency of the absorption line202. As such, the two tones204,206may straddle the absorption line202when the square wave212becomes a straight line. In other words, the center frequency of the absorption line202has been found when the offset218becomes zero.

Further, the received signals detected by the detector module108may provide information about the absorption characteristics of the gas over the span of frequencies in which the two tones were swept. This information, the offset corresponding to a range of frequencies around the absorption line202, may be used by the closed-loop control module106to lock-in on and track the center frequency of the absorption line. The offset218, being the error signal, may be used to drive an integrator control loop. The detector module108may generate a table of the offset218values for a range of frequencies around the absorption line in question. The table of offset218values may be used to generate a plot that may be used by the close-loop control module106to further define additional parameters of the integrator control loop.

Although the detector module108may generate offset218range information to assist in defining certain feedback control parameters, the generation of the offset range information may not be necessary to the operation of the spectrometer100and are discussed for illustration purposes. The property that the offset218is linearly proportional to the frequency difference (and ideally zero when the absorption line frequency and the center of the two tones204,206coincide) is all that may be required for the error signal. Still, determining the slope of the generated plot may help to decide the optimal control parameters, namely the inverse of the slope, to obtain the fastest possible response with minimal ringing, though this is not strictly required.

FIG. 2Cis a representative offset plot220at various frequencies around the absorption line of a gas. The offset plot220has values of frequency (Hz) for the x-axis and values of voltage for the y-axis. The slope222of the offset plot220corresponds to the change in offset218when the two tones204,206are at different frequencies with respect to the center frequency of the absorption line but are still straddling the absorption line at various degrees. The slope222represents a change in volts per frequency and may be used by the closed-loop control module106to aid in detection, locking-in on, and tracking the absorption line202.

The closed-loop control module106may use the error signal to drive the signal generator104to lock-in on and track the absorption line of interest, once the absorption line is detected. The error signal may reduce to zero once the two tones204,206exactly straddle the absorption line. However, if the two tones204,206begin to drift up or down the frequency spectrum, then the error signal may change positively or negatively. The change in the error signal may cause the closed-loop control module to adjust the frequencies of the two tones204,206generated by the signal generator104.

The closed-loop control module106may implement an integrator control loop that incorporates the error signal and the inverse of the error signal slope (vs. frequency offset) as factors in the control loop transfer function.FIG. 3shows a block diagram of a closed loop control function300implemented by the closed-loop control module106of the spectrometer100in accordance with various examples described herein. The control function300may comprise an adder block302, a multiplier block304, and a second multiplier block306. The adder block302generates an error amount between two signals fgasand fsignal generator. The error amount is then multiplied by a conversion factor in block304that converts frequency to voltage. The resulting error amount in units of voltage is then multiplied by block306that drives the response time of the closed-loop control module106.

The input to the control function may be the ideal center frequency of the absorption line being measured, denoted as fgasinFIG. 3, and may be used as a reference by the closed-loop control module106. The output of the control function may be the estimate of the center frequency of the absorption line, denoted as fsignal generatorinFIG. 3, and may be used to drive the signal generator104. The frequency fsignal generatormay be the mid-point frequency between the two tones204,206, which would be used to determine the frequency that each of the two tones should be driven. The k1304may be the slope of the error response given a frequency offset in Hz that is generated by the detector module108and the k2310may be the inverse of the k1304. By choosing the k2310as the inverse of k1304, the closed-loop discrete pole, z312, may be driven to zero, which may produce the fastest response time for locking in on the absorption line by the spectrometer100.

The closed-bop control module106may then control the signal generator104to continuously change the frequencies at which the two tones are transmitted so that the center frequency of the absorption cell is tracked. By tracking the center frequency of the absorption line, the spectrometer100may provide a frequency reference with parts-per-billion frequency accuracy.

FIG. 1depicts several separate elements comprising the spectrometer100. However, it will be appreciated that multiple dements may be combined. For example, the signal generator104, the closed-loop control module106, and the detector module108may be combined into a single device, such as a detection and control module. Alternatively, some of the pieces may be implemented as software being executed by a computer or digital signal processor or as a combination of hardware and software.

FIG. 4shows a flow chart for a method400to implement the detection and tracking of a gas absorption line in accordance with various embodiments described herein. The method400begins at block402with alternately transmitting and sweeping two RF signals through an absorption cell. The two RF signals are transmitted at different frequencies separated by a range, and are swept across a span of frequencies in a microwave and millimeter wave regions of a frequency spectrum. The frequencies of the two tones may be transmitted at a 50% duty cycle so that only one of the two tones is transmitted at a time. The two RF signals, or tones, are similar to the two tones204,206described above and may be transmitted and swept across the span of frequencies by the signal generator104.

The block404of the method400includes receiving the RF signals by a receiver. The two RF signals, or tones, may be received by the receiver114/antenna116combination as described above. The receiver114may then communicate the received signals to the detector module108where analysis of the signals may be carried out by the detector module108.

The block406of the method400includes analyzing the received signals by a closed-loop system for relative absorption by a gas due to an absorption line of the gas in the span of the swept frequencies. The closed-loop system may be the combination of the detector module108and the closed-loop control module106. Alternatively, the closed-loop system may further comprise the signal generator104. The analysis of the received signals may follow the analysis performed by the detector module106described above. The two received signals will be used to generate a square wave that will inform the closed-loop system of the relative frequency relationship between the two tones and the absorption line of the gas. The levels of the square wave may represent the relative absorption of the transmitted signals by the gas. The square wave may be detected via lock-in techniques to help improve the signal to noise ratio and reduce the acquisition time.

The block408of the method400includes detecting the absorption line of the gas when the two RF signals straddle the gas absorption line and the relative absorption by the two RF signals is equal. As described above, the gas absorption line, and more precisely the center frequency of the absorption line, is detected when the relative absorption by the two RF signals, tones, is equal. Being equal is similar to when the square wave described above becomes a straight line and the offset218becomes zero. When the offset218becomes zero, the two tones may exactly straddle the center frequency of the absorption line.

Additionally, the method400may further comprise tracking the absorption line of the gas by the closed-loop system. The center frequency of the absorption may be maintained in the middle of the range of frequencies separating the two RF signals. Tracking may be implemented by using the offset218as an error signal to the closed-loop control module106. Implementing the closed-loop control utilizing the error signal may allow the absorption line to be tracked using the relative absorption of the two RF signals by the gas in the cell102.

The order the method400is described is not dispositive of how the method may be implemented. Steps of the method400may be carried out in a different order than presented or steps may be combined and carried out simultaneously. Alternatively, many, if not all, of the steps of the method400may be performed in parallel. One of ordinary skill in the art would appreciate the variations in performing the described method to produce the desired outcome.