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Tomographic Reconstruction of the Wigner Distribution of Non-separable Beams.

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2010
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Cámara, Alejandro
Alieva, Tatiana Krasheninnikova
Rodrigo Martín-Romo, José Augusto
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The Electromagnetics Academy
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The numerical demonstration of the phase-space tomographic reconstruction method of non-separable beams is presented in this contribution. The Wigner distribution of a Laguerre-Gaussian beam is recovered from numerically simulated intensity measurements. In order to compare the results with the theoretical Wigner distribution; a novel diagram for the representation of functions of four variables is introduced.
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© 2010 The Electromagnetics Academy. The financial support of the Spanish Ministry of Science and Innovation under project TEC2008-04105 is acknowledged. Progress in Electromagnetics Research Symposium (PIERS) (2010. Cambridge, EE.UU.)
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1. Raymer, M. G., M. Beck, and D. F. McAlister, “Complex wave-field reconstruction using phase-space tomography," Phys. Rev. Lett., Vol. 72, 1137-1140, 1994. 530 PIERS Proceedings, Cambridge, USA, July 5-8, 2010 2. Cámara, A., T. Alieva, J. A. Rodrigo, and M. L. Calvo, “Phase space tomography reconstruction of the Wigner distribution for optical beams separable in Cartesian coordinates," J. Opt. Soc. Am. A, Vol. 26, 1301-1306, 2009. 3. Rodrigo, J. A., T. Alieva, and M. L. Calvo, “Programmable two-dimensional optical fractional Fourier processor," Opt. Express, Vol. 17, 4976-4983, 2009. 4. Simon, S. and Argawal, G. S., “Wigner representation of Laguerre-Gaussian beams," Opt. Lett., Vol. 25, 1313-1315, 2000.