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

M.J. Bastiaans, T. Alieva

Research output: Contribution to journalArticleAcademicpeer-review

10 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 languageEnglish
Pages (from-to)L73-L78
Number of pages6
JournalJournal of Physics A: Mathematical and General
Volume38
Issue number6
DOIs
Publication statusPublished - 2005

Fingerprint

First-order System
Hermite
Optical systems
Optical System
Generating Function
Derivatives
Output
Recurrence relation
Converter
output
Derivative
converters

Cite this

@article{bd4dde543b394bc7a0aa27cfdfe2e197,
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",
year = "2005",
doi = "10.1088/0305-4470/38/6/L01",
language = "English",
volume = "38",
pages = "L73--L78",
journal = "Journal of Physics A: Mathematical and General",
issn = "0305-4470",
publisher = "Institute of Physics",
number = "6",

}

Generating function for Hermite-Gaussian modes propagating through first-order optical systems. / Bastiaans, M.J.; Alieva, T.

In: Journal of Physics A: Mathematical and General, Vol. 38, No. 6, 2005, p. L73-L78.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Generating function for Hermite-Gaussian modes propagating through first-order optical systems

AU - Bastiaans, M.J.

AU - Alieva, T.

PY - 2005

Y1 - 2005

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

VL - 38

SP - L73-L78

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

SN - 0305-4470

IS - 6

ER -