title: 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. Besides the distributions of x-p and t-ω, the OPSTFT can provide four other distributions such as x-t, p-t, x-ω and p-ω. 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.
authors.affiliation: Department of Physics, Michigan Technological University, Houghton, Michigan 49931, USA.
authors.forename: Paul
authors.initials: P
authors.lastname: Rojas
authors.forename: Rachel
authors.initials: R
authors.lastname: Blaser
authors.forename: Yong Meng
authors.initials: YM
authors.lastname: Sua
authors.forename: Kim Fook
authors.initials: KF
authors.lastname: Lee
mesh_terms: D000042:Absorption; D000465:Algorithms; D003198:Computer Simulation; D005583:Fourier Analysis; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D008027:Light; D015233:Models, Statistical; D055095:Optics and Photonics; D009991:Oscillometry / Q000379:methods; D013997:Time Factors; D041622:Tomography, Optical / Q000379:methods*