The present invention relates generally to sensor systems, and specifically to probe beam frequency stabilization in an atomic sensor system.
Atomic sensors, such as nuclear magnetic resonance (NMR) gyroscopes and atomic magnetometers, employ optical beams to operate, such as to detect rotation about a sensitive axis or to detect the presence and magnitude of an external magnetic field. As an example, an NMR sensor system can employ a first optical beam as a pump beam. For example, the pump beam can be a circularly-polarized optical beam that is configured to spin-polarize an alkali metal vapor, such as cesium (Cs) or rubidium (Rb), within a sealed cell of the sensor. The NMR sensor system can also employ a second optical beam as a probe beam. For example, the probe beam can be a linearly-polarized optical beam that is configured to indirectly detect precession of noble gas isotopes, such as xenon (Xe), based on the directly measured precession of the alkali metal, such as for detecting rotation of the detection system about the sensitive axis or detecting the magnitudes of the external magnetic field.
One example embodiment includes an atomic sensor system. The system includes a vapor cell comprising an alkali metal vapor that precesses in response to a magnetic field. The system also includes a probe laser that generates an optical probe beam that is modulated about a center frequency and which is provided through the vapor cell. A photodetector assembly generates an intensity signal corresponding to a Faraday rotation associated with a detection beam that is associated with the optical probe beam exiting the vapor cell. The system further includes a detection system configured to demodulate the intensity signal at a frequency corresponding to a modulation frequency of the optical probe beam and to generate a feedback signal based on the demodulated intensity signal. The feedback signal is provided to the probe laser to substantially stabilize the center frequency of the optical probe beam based on the feedback signal.
Another embodiment includes a method for stabilizing a frequency of an optical probe beam in an atomic sensor system. The method includes providing the optical probe beam through a vapor cell of the atomic sensor system comprising a precessing alkali metal vapor. The method also includes beam-splitting the optical probe beam exiting the vapor cell into orthogonal polarization components and measuring an intensity of each of the orthogonal polarization components to generate a first intensity signal and a second intensity signal. The method also includes adding the first and second intensity signals to generate a summation signal and generating a feedback signal associated with a magnitude of the summation signal. The method further includes stabilizing the frequency of the optical probe beam based on the feedback signal.
Another embodiment includes an atomic sensor system. The system includes a vapor cell comprising an alkali metal vapor that precesses in response to a magnetic field. The system also includes a probe laser configured to generate an optical probe beam that is modulated about a center frequency via a square-wave modulation signal and which is provided through the vapor cell. The system also includes a photodetector assembly configured to generate a first intensity signal and a second intensity signal that correspond, respectively, to orthogonal polarizations of a detection beam corresponding to the optical probe beam exiting the vapor cell. The system further includes a detection system configured to add the first and second intensity signals to generate a summation signal and to demodulate the summation signal at a frequency of the square-wave modulation signal to generate a feedback signal that is provided to the probe laser to substantially stabilize the center frequency of the optical probe beam.
The present invention relates generally to sensor systems, and specifically to probe beam frequency stabilization in an atomic sensor system. The NMR sensor system can be implemented, for example, as an NMR gyroscope or an atomic magnetometer. The NMR probe system includes a pump laser configured to generate an optical pump beam and a probe laser configured to generate an optical probe beam. The optical pump beam can be provided through the vapor cell, such as via beam optics, to stimulate the alkali metal vapor therein. The optical probe beam can be provided through the vapor cell orthogonally relative to the optical pump beam to measure a characteristic of the optical probe beam in response to polarization of the alkali metal vapor, which can be modulated in response to precession of noble gas isotopes based on the interaction of the alkali metal vapor with the noble gas isotopes. Thus, the optical probe beam can be implemented to measure rotation about a sensitive axis, in the example of the NMR gyroscope, or to measure a magnitude of an external magnetic field, in the example of the atomic magnetometer.
As an example, the optical probe beam can be modulated with a modulation signal, such as a square-wave modulation signal, about a center frequency. The optical probe beam can be provided to a pair of photodetectors arranged orthogonally with respect to a polarizing beamsplitter as it exits the vapor cell. Thus, the optical probe beam can be split into a first intensity signal and a second intensity signal that correspond respectively to orthogonal polarizations of the optical probe beam. The first and second intensity signals can be added to generate a summation signal that can be demodulated at a frequency that is approximately equal to a frequency of the square-wave signal. Thus, the optical probe beam can be stabilized based on the amplitude of the demodulated summation signal. As an example, the center frequency can correspond to a frequency of maximum absorption of the optical probe beam by the alkali metal vapor, such that the system can maintain the demodulated summation signal at a substantially constant amplitude corresponding to approximately equal and opposite Faraday rotation about center frequency at each of the positive and negative amplitudes about the center frequency in steady state conditions. For example, each of the positive and negative amplitude of the modulation signal can correspond to maximum Faraday rotation in approximately equal and opposite directions in steady state conditions, such that demodulation of a difference signal corresponding to a difference of the first and second intensity signals can be determinative of a Faraday rotation resulting from an external magnetic field or rotation of the system about a sensitive axis.
The atomic sensor system 10 includes a pump laser 12 configured to generate an optical pump beam OPTPMP and a probe laser 14 configured to generate an optical probe beam OPTPRB. The optical pump beam OPTPMP is provided through a quarter-wave plate 16 that is configured to circularly polarize the optical pump beam OPTPMP, such that the optical pump beam OPTPMP is provided through a vapor cell 18. In the example of
As an example, the vapor cell 18 can be configured as a sealed cell having a transparent or translucent casing that includes an alkali metal vapor (e.g., cesium (Cs) or rubidium (Rb)) and can include a noble gas isotope (e.g., argon (Ar) or xenon (Xe)). The wavelength of the optical pump beam OPTPMP can correspond to an emission line of the alkali metal vapor in the vapor cell 18 (e.g., D1 or D2). The vapor cell 18 can thus comprise the operative physics portion of the atomic sensor system 10. Specifically, the optical pump beam OPTPMP can be provided through the vapor cell 18 to spin-polarize the alkali metal vapor therein. As an example, noble gas isotopes within the vapor cell 18 can precess in the presence of the bias magnetic field BBIAS, such that the spin-polarized alkali metal vapor particles can have their spin-polarization modulated to result in a component of the net spin polarization being aligned with the preces sing noble gas isotopes. The precession of the noble gas isotopes can thus be measured by a detection beam OPTDET corresponding to the optical probe beam OPTPRB exiting the vapor cell 18. As an example, the Faraday rotation of the linearly-polarized detection beam OPTDET exiting the vapor cell 18 can be determined based on a projection of the spin-polarization of the alkali metal vapor in the vapor cell 18 along the axis orthogonal to the optical pump beam OPTPMP. Accordingly, a rotation of the atomic sensor system 10, a magnitude of an external magnetic field, or a spin precession frequency or phase can be measured in response to determining the precession of the noble gas isotopes.
It is to be understood that, as described herein, the optical probe beam OPTPRB and the detection beam OPTDET correspond to the same optical beam, with the optical probe beam OPTPRB being provided to the vapor cell 18 and the detection beam OPTDET corresponding to the optical probe beam OPTPRB having exited the vapor cell 18, and thus having undergone a Faraday rotation. Therefore, as described herein, the optical probe beam OPTPRB and the detection beam OPTDET can be described interchangeably with respect to Faraday rotation. Specifically, the optical probe beam OPTPRB experiences Faraday rotation as it passes through the vapor cell 18, with such Faraday rotation being measured on the detection beam OPTDET.
In the example of
A change in the Faraday rotation of the detection beam OPTDET that is measured, as described previously, can result from the external parameter that is to be measured. However, the change in the Faraday rotation can also result from a change in the wavelength of the optical probe beam OPTPRB relative to a wavelength associated with an absorption peak corresponding to a maximum absorption of the photons of the optical probe beam OPTPRB by the alkali metal vapor in the vapor cell 18. At such wavelength of the absorption peak, the alkali metal vapor in the vapor cell 18 can exhibit approximately zero circular birefringence, and thus no Faraday rotation of the detection beam OPTDET absent the external parameter. Therefore, the optical probe beam OPTPRB can have a wavelength that is detuned, such that the wavelength is shorter or longer than the wavelength associated with the absorption peak. However, environmental conditions (e.g., changes in temperature) and/or instability in electrical current excitation of the probe laser 14 can result in changes to the frequency (i.e., wavelength) of the optical probe beam OPTPRB, which can affect the Faraday rotation per unit alkali polarization vector component parallel to the direction of propagation of the detection beam OPTDET. Such effects on the Faraday rotation of the detection beam OPTDET can be indistinguishable from Faraday rotation resulting from the external parameter affecting the atomic sensor system 10, thus resulting in errors to the measurable external parameter SNS.
To stabilize the frequency of the optical probe beam OPTPRB, the detection system 30 includes a probe controller 32. In the example of
The graph 100 demonstrates a magnitude of Faraday rotation on the vertical axis in arbitrary units and centered about zero, and a wavelength detuning of the optical probe beam OPTPRB from resonance of the alkali metal vapor in the vapor cell 18, demonstrated at the center wavelength λC. As described previously, the Faraday rotation of the detection beam OPTDET can be measured to determine, for example, a rotation of the atomic sensor system 10 or a magnitude of an external magnetic field. However, as demonstrated by the graph 50, the Faraday rotation of the detection beam OPTDET can be strongly dependent on the wavelength of the optical probe beam OPTPRB. Therefore, if the wavelength of the optical probe beam OPTPRB is unstable, then the Faraday rotation of the detection beam OPTDET is affected, which can thus provide errors in the measurement of the measurable external parameter SNS (e.g., the rotation of the atomic sensor system 10 or the magnitude of the external magnetic field). Accordingly, the probe controller 32 can stabilize the wavelength of the optical probe beam OPTPRB based on the modulation of the optical probe beam OPTPRB about the center frequency associated with the center wavelength λC.
The graph 102 demonstrates a magnitude of intensity of the detection beam OPTDET on the vertical axis in arbitrary units. In the example of
With additional reference to the timing diagram 50, the modulation signal DTH can be provided such that the center wavelength λC can be set to the absorption peak 104, and thus to a wavelength at which the optical probe beam OPTPRB experiences substantially zero Faraday rotation absent the external parameter. However, the maximum amplitude of the modulation signal DTH corresponding to the first wavelength λMAX can be associated with a maximum Faraday rotation in a first direction, demonstrated in the example of
As an example, the wavelength difference between the Faraday rotation peaks “A” and “B” can correspond to a full-width half-max wavelength linewidth of the absorption spectrum of the alkali metal vapor in the vapor cell 18. The amplitude of the modulation signal DTH at the maximum amplitude and the minimum amplitude, corresponding respectively to the Faraday rotation peaks “A” and “B”, respectively, can therefore be a function of an alkali resonance (i.e., absorption) linewidth that can be a function of a gas mixture and gas number density in the vapor cell 18 (e.g., including one or more buffer gases). Thus, the amplitude of the modulation signal DTH at the maximum amplitude and the minimum amplitude can be selected and optimized based on the characteristics of the given atomic sensor system 10 to achieve the Faraday rotation peaks “A” and “B” at the maximum amplitude and the minimum amplitude, respectively, of the modulation signal DTH.
The detection system 150 includes a summation component 152 configured to add the first and second intensity signals INTS1 and INTS2 to generate a summation signal SUM corresponding to a sum of the first and second intensity signals INTS1 and INTS2. The summation signal SUM is provided to a probe controller 154, which can correspond to the probe controller 32 in the example of
The detection system 150 also includes a difference component 158 and a sensor controller 160. The difference component 158 is configured to subtract the first and second intensity signals INTS1 and INTS2 to generate a difference signal DIFF corresponding to a difference of the first and second intensity signals INTS1 and INTS2. The difference signal DIFF is provided to the sensor controller 160 that is configured to calculate the measurable external parameter SNS (e.g., rotation about a sensitive axis and/or a magnitude of an external magnetic field). As described previously, the modulation signal DTH provides a Faraday rotation of the optical probe beam OPTPRB equally and oppositely with respect to the absorption peak 104 at the center wavelength λC. Therefore, such a polarity reversal of the Faraday rotation results in a polarity reversal of the difference signal DIFF.
As an example, the Faraday rotation at each of the peaks “A” and “B” in the example of
In the example of
It is to be understood that the atomic sensor system 10 is not intended to be limited to the examples of
Additionally, the maximum and minimum amplitudes of the modulation signal DTH are not limited to the Faraday rotation peaks “A” and “B”, respectively. For example, for the vapor cell 18 having sufficient absorption of the probe beam per unit length of distance through the cell, such as can occur with a sufficiently high cell temperature, the absorption of the optical probe beam OPTPRB at the wavelength corresponding to maximum Faraday rotation can be large enough that no detectable probe beam light passes through the cell based on substantially all of the photons optical probe beam OPTPRB being absorbed. As another example, with a sufficient optical power of the optical probe beam OPTPRB, the respective maximum and minimum amplitudes of the modulation signal DTH can be greater than the Faraday rotation peak “A” and less than the Faraday rotation peak “B”, respectively, such as to result in a greater SNR for measurements of the measurable external parameter SNS. Furthermore, while the modulation signal DTH is demonstrated in the example of
In view of the foregoing structural and functional features described above, a methodology in accordance with various aspects of the present invention will be better appreciated with reference to
What have been described above are examples of the invention. It is, of course, not possible to describe every conceivable combination of components or methodologies for purposes of describing the invention, but one of ordinary skill in the art will recognize that many further combinations and permutations of the invention are possible. Accordingly, the invention is intended to embrace all such alterations, modifications, and variations that fall within the scope of this application, including the appended claims.