Published February 11, 2005
| Version v1
Journal article
Generating function for Hermite-Gaussian modes propagating through first-order optical systems
Creators
- 1. Technische Universiteit Eindhoven, Faculteit Elektrotechniek, Postbus 513, 5600 MB Eindhoven (Netherlands)
- 2. Universidad Complutense de Madrid, Facultad de Ciencias FIsicas, Ciudad Universitaria s/n, Madrid 28040 (Spain)
Description
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. (letter to the editor)
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/L73/a5_6_l01.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/L73/a5_6_l01.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/6/L01;
- PII
- S0305-4470(05)88528-2;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 6
- Journal Page Range
- p. L73-L78
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36046536
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- GAUSS FUNCTION; HERMITE POLYNOMIALS; LAGUERRE POLYNOMIALS; MATHEMATICAL LOGIC; OPTICAL SYSTEMS; RECURSION RELATIONS
- Descriptors DEC
- FUNCTIONS; POLYNOMIALS