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

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

http://dx.doi.org/10.1364/JOSAA.19.000481

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### Abstract

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

**History**

Original Manuscript: April 12, 2001

Revised Manuscript: July 11, 2001

Manuscript Accepted: July 26, 2001

Published: March 1, 2002

**Citation**

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)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-3-481

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### References

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