Abstract

A unified operator approach is described for deriving Hermite–Gaussian and Laguerre–Gaussian laser beams by using as a starting point a plane-wave-spectrum representation of the electromagnetic field. We show that by using the plane-wave representation of the fundamental Gaussian mode as a seed function, all higher-order beam modes can be derived by acting with differential operators on this fundamental solution. The approach presented can be easily generalized to nonparaxial situations and to include vector effects of the electromagnetic field.

© 2004 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Complex argument Hermite–Gaussian and Laguerre–Gaussian beams

Erich Zauderer
J. Opt. Soc. Am. A 3(4) 465-469 (1986)

Higher-order complex source for elegant Laguerre–Gaussian waves

Miguel A. Bandres and Julio C. Gutiérrez-Vega
Opt. Lett. 29(19) 2213-2215 (2004)

Propagation of Hermite–Gaussian and Laguerre–Gaussian beams beyond the paraxial approximation

Kailiang Duan, Beizhan Wang, and Baida Lü
J. Opt. Soc. Am. A 22(9) 1976-1980 (2005)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (45)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription