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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Weak magnetic field measurement by using all-optical potassium atomic spin magnetometer

Hong Zhang, Sheng Zou, Xiyuan Chen

Published Dec 3, 2015• 1 citation
Publisher

Abstract

The SERF atomic spin magnetometer, which can be used to measure the residual weak magnetic field in the magnetic shield due to its ultrahigh sensitivity, is elaborated in this paper. The method of using the SERF atomic spin magnetometer to measure the residual weak magnetic field in the magnetic shield was presented. The compensating coils, which were placed inside the magnetic shield, produced the uniform magnetic fields along the x, y and z directions, and they were reverse direction with the residual weak magnetic fields; via the cross modulation method, the residual weak magnetic fields could be counteracted. At this time, the magnetic fields producing by the compensating coils were equal to the residual weak magnetic fields in the magnetic shield. The experimental results showed that the residual weak magnetic fields were approximate 0.5 nT, 1.0 nT and 7.0 nT along the x, y and z directions, respectively; and the maximum measurement errors were approximate 0.0169, 0.0377, and 0.5071 along the x, y and z directions, respectively. Finally, the reasons of measurement error were analyzed.

DOI
10.1117/12.2196945

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The SERF atomic spin magnetometer, which can be used to measure the residual weak magnetic field in the magnetic shield due to its ultrahigh sensitivity, is elaborated in this paper. The method of using the SERF atomic spin magnetometer to measure the residual weak magnetic field in the magnetic shield was presented. The compensating coils, which were placed inside the magnetic shield, produced the uniform magnetic fields along the x, y and z directions, and they were reverse direction with the residual weak magnetic fields; via the cross modulation method, the residual weak magnetic fields could be counteracted. At this time, the magnetic fields producing by the compensating coils were equal to the residual weak magnetic fields in the magnetic shield. The experimental results showed that the residual weak magnetic fields were approximate 0.5 nT, 1.0 nT and 7.0 nT along the x, y and z directions, respectively; and the maximum measurement errors were approximate 0.0169, 0.0377, and 0.5071 along the x, y and z directions, respectively. Finally, the reasons of measurement error were analyzed.
The spin-exchange-relaxation-free (SERF) atomic magnetometer is an ultra-high sensitivity magnetometer, but it must be operated in a magnetic field with strength less than about 10 nT. Magnetic field compensation is an effective way to shield the magnetic field, and this paper demonstrates an in situ triaxial magnetic field compensation system for operating the SERF atomic magnetometer. The proposed hardware is based on optical pumping, which uses some part of the SERF atomic magnetometer itself, and the compensation method is implemented by analyzing the dynamics of the atomic spin. The experimental setup for this compensation system is described, and with this configuration, a residual magnetic field of strength less than 2 nT (±0.38 nT in the x axis, ±0.43 nT in the y axis, and ±1.62 nT in the z axis) has been achieved after compensation. The SERF atomic magnetometer was then used to verify that the residual triaxial magnetic fields were coincident with what were achieved by the compensation system.
Maintaining a near-zero magnetic field condition is a requisite for atomic magnetometer under the spin-exchange relaxation-free (SERF) regime. Therefore, the precise determination of the residual magnetic fields is of great significance. Herein, we proposed an in-situ measurement method of residual magnetic fields in a dual-beam atomic magnetometer based on a transient response of the transverse polarization along the probe beam direction after switching off the pump beam. Proceeding from the Bloch equation, we established a complete evolution expression of the polarization vector under any static residual magnetic field with the pump beam switched off. On this basis, we analyzed the transient response of the transverse polarization by numerical simulation under different situations of residual magnetic fields. Besides, we also considered two possible conditions when the residual magnetic fields are relatively large or small, respectively. Accordingly, we presented an efficient and convenient estimation method of the residual magnetic fields based on certain time characteristics of the transient response. We verified the feasibility of our method by experiment and achieved a triaxial residual magnetic fields measurement within 0.5 s. This method can realize an in situ and real-time measurement of the residual magnetic fields in a fast and convenient way. Furthermore, this method can evaluate the effectiveness of different magnetic field compensation methods without introducing any modulation or extra devices.
A method of measuring in-situ magnetic field gradient is proposed in this paper. The magnetic shield is widely used in the atomic magnetometer. However, there is magnetic field gradient in the magnetic shield, which would lead to additional gradient broadening. It is impossible to use an ex-situ magnetometer to measure magnetic field gradient in the region of a cell, whose length of side is several centimeters. The method demonstrated in this paper can realize the in-situ measurement of the magnetic field gradient inside the cell, which is significant for the spin relaxation study. The magnetic field gradients along the longitudinal axis of the magnetic shield are measured by a spin-exchange relaxation-free (SERF) magnetometer by adding a magnetic field modulation in the probe beam’s direction. The transmissivity of the cell for the probe beam is always inhomogeneous along the pump beam direction, and the method proposed in this paper is independent of the intensity of the probe beam, which means that the method is independent of the cell’s transmissivity. This feature makes the method more practical experimentally. Moreover, the AC-Stark shift can seriously degrade and affect the precision of the magnetic field gradient measurement. The AC-Stark shift is suppressed by locking the pump beam to the resonance of potassium’s D1 line. Furthermore, the residual magnetic fields are measured with σ + - and σ – -polarized pump beams, which can further suppress the effect of the AC-Stark shift. The method of measuring in-situ magnetic field gradient has achieved a magnetic field gradient precision of better than 30 pT/mm.
We report a rubidium atomic magnetometer based on pump-probe nonlinear magneto-optical rotation. The rubidium vapor cell is placed in a five-layer magnetic shield with inner coils that can generate uniform magnetic fields along the direction of pump beam, and the cell is also placed in the center of a Helmholtz coil that can generate an oscillating magnetic field perpendicular to the direction of pump beam. The atoms are optically pumped by circularly polarized pump beam along a constant magnetic field in a period of time, then the pump beam is turned off and a /2 pulse of oscillating magnetic field for 87Rb atoms is applied. After the above process, the individual atomic magnetic moments become phase coherent, resulting in a transverse magnetization vector precessing at the Larmor frequency in the magnetic field. The linearly polarized probing beam is perpendicular to the direction of magnetic field, and can be seen as a superposition of the left and right circularly polarized light. Because of the different absorptions and dispersions of the left and right circularly polarized light by rubidium atoms, the polarization direction of probing beam rotates when probing beam passes through rubidium vapor cell. The rotation of the polarization is subsequently converted into an electric signal through a polarizing beam splitter. Finally, the decay signal related to the transverse magnetization vector is measured. The Larmor frequency proportional to magnetic field is obtained by the Fourier transform of the decay signal. The value of magnetic field is calculated from the formula:B=(2/) f, where and f are the gyromagnetic ratio and Larmor frequency, respectively. In order to measure the magnetic field in a wide range, the tracking lock mode is proposed and tested. The atomic magnetometer can track the magnetic field jump of 1000 nT or 10000 nT, indicating that the atomic magnetometer has strong locking ability and can be easily locked after start-up. The main performances in different magnetic fields are tested. The results show that the measurement range of the atomic magnetometer is from 100 nT to 100000 nT, the extreme sensitivity is 0.2 pT/Hz1/2, and the magnetic field resolution is 0.1 pT. The transverse relaxation times of the transverse magnetization vector in different magnetic fields are obtained, and the relaxation time decreases with the increase of the magnetic field. When the measurement range is from 5000 nT to 100000 nT, the magnetic field sampling rate of the atomic magnetometer can be adjusted in a range from 1 Hz to 1000 Hz. The atomic magnetometer in high sampling rate can measure weak alternating magnetic field at low frequency. This paper provides an important reference for developing the atomic magnetometer with large measurement range, high sensitivity and high sampling rate.
The spin-exchange relaxation-free (SERF) atomic magnetometer has high sensitivity for magnetic field measurement, and is of great significance in frontier physics research, biomagnetic detection and other fields. In recent years, as one of the important development directions, its high spatial resolution and multi-channel magnetic field detection capabilities have been further extended. In this paper, based on the three-axis in-situ magnetic field zeroing method (MFZM), the accurate measurement of three-axis static magnetic field is realized, and the using of the digital micro-mirror device (DMD) further supports the measurement of two-dimensional three-axis magnetic field distribution in a specific area. Then, the experimental system was set up and realized the three-axis magnetic field measurement of 25 points within the 4 mm × 4 mm two-dimensional measurement range, and the resolution of each point is a square area with a side length of 0.8 mm. The proposed method based on the SERF atomic magnetometer can measure the triaxial magnetic field in the internal micro-regions in the magnetic field coil, magnetic shield, etc., helping the analysis and evaluation of the high-resolution magnetic field distribution.
The spin-exchange-relaxation-free(SERF)atomic magnetometer with ultrahigh sensitive becomes the most effective measurement to analyze the component of the planet in space exploration.In order to improve the sensitivity of the SERF atomic magnetometer,we must avoid the influence on the SERF regime disturbed by environment magnetic field.In this paper we design an active compensation system based on in-situ magnetic measurement to compensate the magnetic disturbance.Firstly,we get the three-axis magnetic field information according to the measurement of pop-laser,then control the current of coil to generate a magnetic field which is opposite and equal to the disturbance,to keep the SERF regime.Finally,we validat the method with the atomic magnetometer experimental setup.The result shows that compared with the manual compensation method,the system can track the magnetic compensation point in real time,reduce the signal noise and compensate the magnetic disturbance successfully,validating the efficiency of the active compensation system and establishing the technique foundation of the production.