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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 19, Iss. 3 — Mar. 1, 2002
  • pp: 481–484

Finite-mode analysis by means of intensity information in fractional optical systems

Tatiana Alieva and Martin J. Bastiaans  »View Author Affiliations

JOSA A, Vol. 19, Issue 3, pp. 481-484 (2002)

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It is shown how a coherent optical signal that contains only a finite number of Hermite–Gauss modes can be reconstructed from the knowledge of its Radon–Wigner transform—associated with the intensity distribution in a fractional-Fourier-transform optical system—at only two transversal points. The proposed method can be generalized to any fractional system whose generator transform has a complete orthogonal set of eigenfunctions.

© 2002 Optical Society of America

OCIS Codes
(070.1170) Fourier optics and signal processing : Analog optical signal processing
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(100.5070) Image processing : Phase retrieval
(200.1130) Optics in computing : Algebraic optical processing

Original Manuscript: April 12, 2001
Revised Manuscript: July 11, 2001
Manuscript Accepted: July 26, 2001
Published: March 1, 2002

Tatiana Alieva and Martin J. Bastiaans, "Finite-mode analysis by means of intensity information in fractional optical systems," J. Opt. Soc. Am. A 19, 481-484 (2002)

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