Generating function for Hermite-Gaussian modes propagating through first-order optical systems

M.J. Bastiaans; T. Alieva

doi:10.1088/0305-4470/38/6/L01

Generating function for Hermite-Gaussian modes propagating through first-order optical systems

M.J. Bastiaans
, T. Alieva

Research output: Contribution to journal › Article › Academic › peer-review

12 Citations (Scopus)

Abstract

We consider the field that appears at the output of a first-order optical system when its input field is a Hermite-Gaussian mode. The generating function for the output modes is determined. The orthonormality property of the output modes is confirmed, and derivative and recurrence relations for these modes are derived. Mode converters that generate Laguerre-Gaussian and Hermite-Laguerre-Gaussian modes are considered as examples.

Original language	English
Pages (from-to)	L73-L78
Number of pages	6
Journal	Journal of Physics A: Mathematical and General
Volume	38
Issue number	6
DOIs	https://doi.org/10.1088/0305-4470/38/6/L01
Publication status	Published - 2005

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title = "Generating function for Hermite-Gaussian modes propagating through first-order optical systems",

abstract = "We consider the field that appears at the output of a first-order optical system when its input field is a Hermite-Gaussian mode. The generating function for the output modes is determined. The orthonormality property of the output modes is confirmed, and derivative and recurrence relations for these modes are derived. Mode converters that generate Laguerre-Gaussian and Hermite-Laguerre-Gaussian modes are considered as examples.",

author = "M.J. Bastiaans and T. Alieva",

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AU - Bastiaans, M.J.

AU - Alieva, T.

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N2 - We consider the field that appears at the output of a first-order optical system when its input field is a Hermite-Gaussian mode. The generating function for the output modes is determined. The orthonormality property of the output modes is confirmed, and derivative and recurrence relations for these modes are derived. Mode converters that generate Laguerre-Gaussian and Hermite-Laguerre-Gaussian modes are considered as examples.

AB - We consider the field that appears at the output of a first-order optical system when its input field is a Hermite-Gaussian mode. The generating function for the output modes is determined. The orthonormality property of the output modes is confirmed, and derivative and recurrence relations for these modes are derived. Mode converters that generate Laguerre-Gaussian and Hermite-Laguerre-Gaussian modes are considered as examples.

U2 - 10.1088/0305-4470/38/6/L01

DO - 10.1088/0305-4470/38/6/L01

M3 - Article

SN - 0305-4470

VL - 38

SP - L73-L78

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 6

ER -

Generating function for Hermite-Gaussian modes propagating through first-order optical systems

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