1973
DOI: 10.1109/tmag.1973.1067647
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Measurement of weak magnetic fields using zero-field parametric resonance in optically pumped He4

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Cited by 35 publications
(18 citation statements)
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“…Parametric modulation measures the magnetometer signal with lock-in detection. 21,26 In our parametric modulation, a 100 nT oscillating magnetic field (roughly an order of magnitude larger than the dynamic range of the sensor) transverse to the laser beam is applied at ω m ¼ 1:77 kHz, generated by the lock-in amplifier driving Helmholtz coils in series with a 1.2 kΩ resistor. The signal from the photodiode is phase-sensitively demodulated.…”
Section: Experimental Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…Parametric modulation measures the magnetometer signal with lock-in detection. 21,26 In our parametric modulation, a 100 nT oscillating magnetic field (roughly an order of magnitude larger than the dynamic range of the sensor) transverse to the laser beam is applied at ω m ¼ 1:77 kHz, generated by the lock-in amplifier driving Helmholtz coils in series with a 1.2 kΩ resistor. The signal from the photodiode is phase-sensitively demodulated.…”
Section: Experimental Methodsmentioning
confidence: 99%
“…In the following discussion, we define a right-handed coordinate system with the direction of the laser beam propagation alonĝ x, and the external magnetic field to be alongẑ. If the atoms are exposed to a magnetic field transverse to the laser beam, which consists of a DC component B 0 ¼ γ À1 ω Lẑ and an oscillating component B m ¼ γ À1 ω 1 cos(ω m t)ẑ, the atomic polarization along the laser beam (x) can be approximated by 26,30…”
Section: A Noise Measurementsmentioning
confidence: 99%
“…If magnetic-field modulation of the form cos( ωt ) is applied along z, the dispersion curve that serves as the OPM output is obtained by demodulating at sin( ωt ). The output is proportional to P x at sin( ωt ), given by (assuming that the background magnetic field is nulled; Cohen-Tannoudji et al, 1970; Slocum and Marton, 1973; Shah and Romalis, 2009) Px=P0J0true(ω1ωtrue)J1true(ω1ωtrue)ωzτ1+(ωzτfalse)2, where P 0 ' is related to the steady-state polarization P 0 ' = P 0 T 1 /( T 1 + T p ), J n is an n th-order Bessel function of the first kind, ω 1 = γB 1 is the Larmor frequency of the modulation field B 1 , ω is the frequency of the modulation field, ω z is the Larmor frequency of the field B z that is detected and τ is the atomic spin coherence time given by 1τ=1Tp+1T1, ιwhere 1/ T p is the optical pumping rate and T 1 is the relaxation time of the atoms.When transverse magnetic field components ( ω x and ω y ) are present, the output of the magnetometer is given by the series (Cohen-Tannoudji et al, 1970) Px=P0J0true(ω1ωtrue)J1true(ω1ωtrue)true[ωzτ1+ωz2τ2J02t...…”
mentioning
confidence: 99%
“…Assuming that the background magnetic field is nulled, the output of an optically-pumped magnetometer utilizing field modulation in z-direction (i.e. it is sensitive in that direction) and probing atoms with a laser beam in x-direction is proportional to the spin-polarization in xdirection (Cohen-Tannoudji et al, 1970;Slocum and Marton, 1973;Shah and Romalis, 2009)…”
Section: Conflict Of Interestmentioning
confidence: 99%