Optical Phase-Space-Time-Frequency Tomography

TL;DR

This paper introduces a novel optical tomography method called OPSTFT, which uses a four-window imaging system to measure the phase-space-time-frequency distribution of light fields with high precision, surpassing traditional uncertainty limits.

Contribution

The paper presents a new optical tomography technique combining phase-space and time-frequency analysis using a four-window heterodyne detection system, enabling detailed characterization of optical fields.

Findings

Successfully simulated OPSTFT for complex light fields

Demonstrated measurement of position, momentum, time, and frequency with high precision

Potential applications in quantum imaging and biophotonics

Abstract

We present a new approach for constructing optical phase-space-time-frequency tomography (OPSTFT) of an optical wave field. This tomography can be measured by using a novel four-window optical imaging system based on two local oscillator fields balanced heterodyne detection. The OPSTFT is a Wigner distribution function of two independent Fourier Transform pairs, i.e., phase-space and time-frequency. From its theoretical and experimental aspects, it can provide information of position, momentum, time and frequency of a spatial light field with precision beyond the uncertainty principle. We simulate the OPSTFT for a light field obscured by a wire and a single-line absorption filter. We believe that the four-window system can provide spatial and temporal properties of a wave field for quantum image processing and biophotonics.