中国光学2023，Vol.16Issue(2)：434-446,13.DOI:10.37188/CO.2022-0119
奇偶探测超分辨率折射率测量的理论研究
Theoretical investigation on super-resolution refractive index measurement with parity detection
摘要
Abstract
The refractive index measurements based on traditional wave optical methods are mainly de-pended on intensity and wavelength detection strategies. Interference spectrometers are widely used as the most ideal wavelength detecting devices. Interference spectrometers measure the signal intensity, analyze the change of fringe numbers and the corresponding optical path difference by means of optical power meter, and then calculate the wavelength of signal light. Therefore, its essence is still based on intensity detection. However, the resolution of interference signal in intensity detection is restricted by classical diffraction limit, thus its resolution is difficult to further improve. In order to solve this bottleneck, parity detection which could break through the classical resolution limit and realize super-resolution refractive index measurement is proposed in this paper. According to the quantum detection and estimation theory, the expressions for signals and their corresponding sensitivities of refractive index measurement with parity and intensity detections were derived respectively and their numerical comparison analysis was carried out. In addition, the effects of loss on resolution and sensitivity of the output signal were investigated. Numerical results show that the res-olution of parity detection is 2π√N times that of intensity detection, achieving super-resolution refractive in-dex measurement. Moreover, the optimal sensitivity reaches the refractive index measurement shot noise lim-it λ/( 2πl√N). The loss reduces the sensitivity and resolution of the signal. The resolution of the parity detec-tion signal is consistently better than that of intensity detection except for the very large loss and very low photon number. Finally, the physical essence of the super-resolution refractive index measurement is ana-lyzed from the detection means itself.关键词
折射率测量/奇偶探测/衍射极限/超分辨率Key words
refractive index measurement/parity detection/diffractive limit/super-resolution分类
数理科学引用本文复制引用
王强,王倩倩,王振,郝利丽..奇偶探测超分辨率折射率测量的理论研究[J].中国光学,2023,16(2):434-446,13.基金项目
东北石油大学引导性创新基金(No. 2021YDL-16) （No. 2021YDL-16）
黑龙江省教育规划重点课题(No. GJB1320038,No.GJB1422173) （No. GJB1320038,No.GJB1422173）
东北石油大学教育教学改革项目(No. JGXM_NEPU_202114)Supported by Guiding Innovation Fund of Northeast Petroleum University(No.2021YDL-16) （No. JGXM_NEPU_202114）
Heilongjiang Province Education Planning Key Project(No.GJB1320038,No.GJB1422173) （No.GJB1320038,No.GJB1422173）
The Education Teaching Reform Project of Northeast Petroleum University(No.JGXM_NEPU_202114) （No.JGXM_NEPU_202114）
