Optical systems and algorithms for phase-space tomography of one- and two-dimensional beams

Alejandro Cámara; Tatiana Alieva; José A. Rodrigo; María L. Calvo

doi:10.1117/12.902148

21 October 2011 Optical systems and algorithms for phase-space tomography of one- and two-dimensional beams

Alejandro Cámara, Tatiana Alieva, José A. Rodrigo, María L. Calvo

Proceedings Volume 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World; 80110X (2011) https://doi.org/10.1117/12.902148
Event: International Commission for Optics (ICO 22), 2011, Puebla, Mexico

Abstract

The application of partially coherent optical beams for imaging, free space communication, random medium analysis requires controlling its mutual intensity. This task can be done using the phase-space tomography method consisting on the reconstruction of the Wigner distribution (WD), and therefore the mutual intensity, from its projections associated with the fractional power spectra. We propose two schemes that apply spatial light modulators (SLMs) for the measurements of the required WD projections in the case of one- and two-dimensional optical signals. The use of the SLMs allows rapid data acquisition and operative change of the projection number. Moreover, the measured intensity distributions do not require further rescaling, which accelerates the WD reconstruction algorithm and improves its efficiency. The developed numerical methods provide different ways for data analysis such as the reconstruction of the WD using the inverse Radon transform and its visualization for the case of one-dimensional signals; the determination of the mutual intensity for two fixed points without previous reconstruction of the entire WD for two-dimensional signals, etc. The validity of the proposed approaches has been verified experimentally for the test signals and the results are in a good agreement with the numerical simulations.

Citation Download Citation

Alejandro Cámara, Tatiana Alieva, José A. Rodrigo, and María L. Calvo "Optical systems and algorithms for phase-space tomography of one- and two-dimensional beams", Proc. SPIE 8011, 22nd Congress of the International Commission for Optics: Light for the Development of the World, 80110X (21 October 2011); https://doi.org/10.1117/12.902148

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