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Optics Letters

Optics Letters


  • Vol. 30, Iss. 12 — Jun. 15, 2005
  • pp: 1461–1463

Mode mapping in paraxial lossless optics

Tatiana Alieva and Martin J. Bastiaans  »View Author Affiliations

Optics Letters, Vol. 30, Issue 12, pp. 1461-1463 (2005)

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A Collins transformation maps an orthonormal set of Hermite-Gaussian modes into an orthonormal set of beams with a Gaussian envelope. Among these beams are Laguerre-Gaussian beams and the recently introduced Hermite-Laguerre-Gaussian beams. Compact expressions for the complex field amplitudes of these modes are derived. The results obtained are useful for description of the propagation of light through first-order optical systems, for the solution of the phase-retrieval problem by noninterferometric techniques, and for the design of mode converters and information processing systems.

© 2005 Optical Society of America

OCIS Codes
(030.4070) Coherence and statistical optics : Modes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.4690) Fourier optics and signal processing : Morphological transformations
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(140.3300) Lasers and laser optics : Laser beam shaping

Tatiana Alieva and Martin J. Bastiaans, "Mode mapping in paraxial lossless optics," Opt. Lett. 30, 1461-1463 (2005)

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