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Phase-space tomography with a programmable Radon-Wigner display.

Alejandro Cámara¹, Tatiana Alieva, José A Rodrigo

¹Universidad Complutense de Madrid, Facultad de Ciencias Físicas, Ciudad Universitaria s/n, 28040 Madrid, Spain. a.camara@fis.ucm.es

|July 5, 2011

Summary

We developed a new optical system using two spatial light modulators to accurately measure the Radon-Wigner transform. This system can reconstruct Wigner distribution and field properties for various optical signals.

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Area of Science:

Optics and Photonics
Signal Processing

Background:

The Wigner distribution is crucial for analyzing optical fields but challenging to measure directly.
Existing methods for optical transform measurements often lack versatility.

Purpose of the Study:

To adapt a multifunctional optical system for optimal Radon-Wigner transform measurement.
To enable reconstruction of Wigner distribution and field properties using a single optical setup.

Main Methods:

Utilized a system with two spatial light modulators (SLMs).
Developed a method for measuring the Radon-Wigner transform of 1D signals.
Demonstrated reconstruction of Wigner distribution, phase, and mutual intensity.

Main Results:

Successfully adapted an optical system for precise Radon-Wigner transform measurement.
The system reconstructs Wigner distribution for fully or partially coherent fields.
Demonstrated applicability to 2D rotationally symmetric and Cartesian separable fields.

Conclusions:

The proposed Radon-Wigner display offers a versatile tool for optical field analysis.
Experimental validation confirms the system's feasibility and effectiveness.
This adaptable optical system advances coherent optics and signal processing capabilities.