Optical Phase-Space-Time-Frequency Tomography

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.

11 pages, 6 figures

References in corpus (4)

• Continuous-variable optical quantum state tomography
• Sub-Planck phase-space structures and Heisenberg-limited measurements
• Measurement of the transverse spatial quantum state of light at the single-photon level
• Direct Measurement of Kirkwood-Rihaczek distribution for spatial properties of coherent light beam

Cited by in corpus (1)

• Quantum and semiclassical dynamics as fluid theories where gauge matters