## Beam analysis by fractional Fourier transform

Optics Letters, Vol. 26, Issue 22, pp. 1746-1748 (2001)

http://dx.doi.org/10.1364/OL.26.001746

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### Abstract

A method of spatial modal decomposition for optical beams by fractional Fourier transform, and its practical implementation with reduced complexity by use of modal interleavers, are discussed.

© 2001 Optical Society of America

**OCIS Codes**

(030.4070) Coherence and statistical optics : Modes

(070.2590) Fourier optics and signal processing : ABCD transforms

(070.6110) Fourier optics and signal processing : Spatial filtering

**Citation**

Xin Xue, Haiqing Wei, and Andrew G. Kirk, "Beam analysis by fractional Fourier transform," Opt. Lett. **26**, 1746-1748 (2001)

http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-26-22-1746

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### References

- C. J. Chang-Hasnain, “Vertical-cavity sufrace-emitting lasers,” in Semiconductor Lasers: Past, Present, and Future, G. P. Agrawal, ed. (AIP Press, Woodbury, N.Y., 1995), p. 145.
- E. G. Johnson, Jr., “Direct measurement of the spatial modes of a laser pulse: theory,” Appl. Opt. 25, 2967 (1986).
- A. E. Siegman and S. W. Townsend, “Output beam propagation and beam quality from a multimode stable-cavity laser,” IEEE J. Quantum Electron. 29, 1212 (1993).
- Y. Satuby and M. Orenstein, “Small-signal modulation of multitransverse modes vertical-cavity surface-emitting semiconductor lasers,” IEEE Photon. Technol. Lett. 10, 757 (1998).
- F. Gori, M. Santarsiero, R. Borghi, and G. Guattari, “Intensity-based modal analysis of partially coherent beams with Hermite–Gaussian modes,” Opt. Lett. 23, 989 (1998).
- M. Santarsiero, F. Gori, R. Borghi, and G. Guattari, “Evaluation of the modal structure of light beams composed of incoherent mixtures of Hermite–Gaussian modes,” Appl. Opt. 38, 5272 (1999).
- X. Xue, H. Wei, and A. G. Kirk, “Intensity-based modal decomposition of optical beams in terms of Hermite–Gaussian functions,” J. Opt. Soc. Am. A 17, 1086 (2000).
- M. A. Golub, A. M. Prokhorov, I. N. Sisakyan, and V. A. Soifer, “Synthesis of spatial filters for investigation of the transverse mode composition of coherent radiation,” Sov. J. Quantum Electron. 12, 1208 (1982).
- H. O. Bartelt, A. W. Lohmann, W. Freude, and G. K. Grau, “Mode analysis of optical fibers using computer-generated matched filters,” Electron. Lett. 19, 247 (1983).
- A. W. Lohmann, D. Mendlovic, and Z. Zalevsky, “Fractional transformations in optics,” in Progress in Optics, E. Wolf, ed. (Pergamon, London, 1998), Vol. 38, p. 263.
- A. W. Lohmann, “Image rotation, Wigner rotation, and the fractional Fourier transform,” J. Opt. Soc. Am. A 10, 2181 (1993).

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