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Coincidence subwavelength fractional Fourier transform
Yangjian Cai1, Qiang Lin, Shi-Yao Zhu
1Institute of Optics, Department of Physics, Zhejiang University, Hangzhou, China. yangjian_cai@yahoo.com.cn
Summary
This study introduces coincidence subwavelength fractional Fourier transforms (FRTs) using entangled photons and incoherent light. These new FRTs achieve a pattern width twice as narrow as previous methods, enhancing optical resolution.
Area of Science:
- Optics and Photonics
- Quantum Information Science
Background:
- Fractional Fourier transforms (FRTs) are essential optical signal processing tools.
- Recent advancements introduced coincidence FRTs for enhanced spatial resolution.
- Subwavelength imaging techniques are crucial for overcoming classical diffraction limits.
Purpose of the Study:
- To extend coincidence FRTs to the subwavelength regime.
- To investigate the implementation of coincidence subwavelength FRTs using both entangled photon pairs and partially coherent light.
- To analyze the resolution enhancement offered by the subwavelength coincidence FRT.
Main Methods:
- Theoretical design of optical systems for coincidence subwavelength FRTs.
- Utilizing entangled photon pairs and incoherent light sources.
- Numerical simulations for analyzing FRTs with partially coherent light.
- Comparing the spatial resolution of subwavelength FRTs with standard FRTs.
Main Results:
- Coincidence subwavelength FRTs were successfully introduced and designed.
- The developed FRT patterns exhibit a width two times narrower than standard coincidence FRTs.
- Numerical studies confirmed the feasibility of subwavelength FRTs with partially coherent light.
- Distinct characteristics were observed between FRTs using entangled photons versus incoherent light.
Conclusions:
- Coincidence subwavelength FRTs offer a significant improvement in spatial resolution.
- The methodology is adaptable for both quantum (entangled photons) and classical (incoherent light) optical systems.
- This work paves the way for advanced subwavelength imaging and optical metrology.
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