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Sensors

Theoretical Analysis of Enhanced Microwave Measurement Using Structured Beams

Zheng Yin, Feng Gao, Tianyu Chen, Chenxu Wang, Xiao Lu, Aihong Yang, Yandong Peng

Published Mar 21, 2026• 0 citations
Publisher

Abstract

A theoretical scheme for precise measurement of microwave (MW) electric fields is proposed using a structured control field in Rydberg atoms. We use a Bessel-Gauss (BG) beam to drive the excited-state transition, its spatial structure characteristics result in a narrow linewidth of probe transmission, which benefits MW electric field measurement. It is interesting that the spectral linewidth could be further narrowed by increasing the azimuthal index. The minimum detectability of the MW field is about one-tenth of the common electromagnetically induced transparency scheme, and the spectrum resolution could be improved by about 40 times from simulation. Moreover, the system has good robustness.

DOI
10.3390/s26061966

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Applied Optics•Nov 15, 2022•5 citations
A theoretical scheme for precise measurement of microwave (MW) electric fields is proposed using a structured control field in Rydberg atoms. We use a Bessel-Gauss (BG) beam to drive the excited-state transition, its spatial structure characteristics result in a narrow linewidth of probe transmission, which benefits MW electric field measurement. It is interesting that the spectral linewidth could be further narrowed by increasing the azimuthal index. The minimum detectability of the MW field is about one-tenth of the common electromagnetically induced transparency scheme, and the spectrum resolution could be improved by about 40 times from simulation. Moreover, the system has good robustness.
An enhanced measurement of the microwave electric (MW E) field by using intracavity Rydberg atoms is proposed. Based on electromagnetically induced transparency (EIT), the intracavity atomic system exhibits two EIT windows, resulting in two narrow peaks in the cavity transmission. The peak-to-peak distance is sensitive to MW fields and can be used to probe MW E-field strength. Simulation results show that the detectable minimum strength of the MW fields is nearly eight times smaller than that without a cavity. Due to cavity coupling, the transmission spectrum is greatly narrowed, which improves the measurement resolution substantially. The numerical results show that the spectrum resolution is increased by more than 20 times. Furthermore, the cavity-enhanced measurement scheme seems to be robust against the changes in the control field strength and shows a broadband tunability.
Abstract A scheme for measuring microwave (MW) electric (E) fields is proposed based on bichromatic electromagnetically induced transparency (EIT) in Rydberg atoms. A bichromatic control field drives the excited state transition, whose absorption shows three EIT windows. When a MW field drives the Rydberg transition, the EIT windows split and six transmission peaks appear. It is interesting to find that the peak-to-peak distance of transmission spectrum is sensitive to the MW field strength, which can be used to measure MW E-field. Simulation results show that the measurement accuracy could be increased by about 4 times, and the minimum detectable strength of the MW E-field may be improved by about 3 times compared with the common EIT scheme. After the Doppler averaging, the minimum detectable MW E-field strength is about 5 times larger than that without Doppler effect. Also, we investigate other effects on the sensitivity of the system.
An enhanced measurement of the microwave (MW) electric (E) field is proposed using an optical grating in Rydberg atoms. Electromagnetically induced transparency (EIT) of Rydberg atoms appears driven by a probe field and a control field. The EIT transmission spectrum is modulated by an optical grating. When a MW field drives the Rydberg transition, the central principal maximum of the grating spectrum splits. It is interesting to find that the magnitude of the sharp grating spectrum changes linearly with the MW E-field strength, which can be used to measure the MW E-field. The simulation result shows that the minimum detectable E-field strength is nearly 1/8 of that without gratings, and its measurement accuracy could be enhanced by about 60 times. Other discussion of MW metrology based on a grating spectrum is also presented.
An active-Raman-gain (ARG) spectrum of Rydberg atoms is investigated and proposed to measure a microwave (MW) electric (E) field. A strong Raman field couples the ground-state transition with large frequency detuning, and a probe field drives the metastable transition, whose transmission shows a large gain. When a MW field couples the Rydberg transition, the gain peak splits. It is interesting to find that the frequency splitting of gain peaks shows a linear relationship with the MW-field strength, which can be used to measure the MW E field. Moreover, the ARG spectrum has a large peak value that is about 10 times larger than that of common electromagnetically induced transparency schemes. For weak MW fields, the Doppler effect will greatly narrow the gain spectrum if the probe and Raman fields copropagate through the atomic cell, which increases the probe sensitivity dramatically. After the Doppler averaging, the probe sensitivity is enhanced by about 10 times, and the linewidth is narrowed to 1/10 compared to the case without the Doppler effect.
A scheme for enhancing the measurement of microwave electric (MW E) fields based on a cavity-quantum-electrodynamics (CQED) system consisting of an optical resonator coupled with four-level cold Rydberg atoms is analyzed in the paper. The strong collective coupling of the CQED cavity compresses the linewidth of the electromagnetically induced transparency signal substantially, which can be used to enhance the measurement. Our simulation results show that the minimum detectable strength of MW E-field can be enhanced by 196.7 and 26.2 times smaller than the separate atomic medium scheme and the weak coupling scheme, respectively. The detectable minimum strength in the present work can reach as low as 396.5nVcm −1 . In addition, compared with the other two schemes, our work can increase the spectrum resolution respectively by about 216 and 10 times. The proposed scheme shows a broadband tunability and can be used in a broad detection range.
In this work, we have theoretically studied the four-level atomic system for the measurement of a microwave (MW) field. We employed the electromagnetically induced transparency (EIT) technique for finding the MW field in the presence of a Laguerre–Gaussian (LG) beam as a coupling light. We have shown that, by the application of LG modes, narrower dips for the probe absorption spectrum can be generated, which can be easily identified and gives better resolution compared with the Gaussian mode. An exact location of dips in the probe absorption spectrum is found, and it is useful in the measurement of MW fields. We have estimated the FWHM of the probe absorption spectrum for Gaussian and LG coupling cases as 3.74 × 10 5 H z and 1.07 × 10 5 H z , respectively. Based on FWHM, we have found that minimum change in MW electric field in the order of 3.32 µ V c m − 1 will be detectable in the case of the LG mode as a coupling beam.