Abstract

The coupled differential recurrence equations for the corrections to the paraxial approximation solutions in transversely nonuniform refractive-index media are established in terms of the perturbation method. All the corrections (including the longitudinal field corrections) to the paraxial approximation solutions are presented in the weak-guidance approximation. As a concrete application, the first-order longitudinal field correction and the second-order transverse field correction to the paraxial approximation of a Gaussian beam propagating in a transversely quadratic refractive index medium are analytically investigated.

© 1999 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Corrections to the paraxial approximation of an arbitrary free-propagation beam

Qing Cao and Ximing Deng
J. Opt. Soc. Am. A 15(5) 1144-1148 (1998)

Nonparaxial Bessel–Gauss beams

Riccardo Borghi, Massimo Santarsiero, and Miguel A. Porras
J. Opt. Soc. Am. A 18(7) 1618-1626 (2001)

Propagation of light beams beyond the paraxial approximation

Takashi Takenaka, Mitsuhiro Yokota, and Otozo Fukumitsu
J. Opt. Soc. Am. A 2(6) 826-829 (1985)

More Recommended Articles

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

Figures (1)

You do not have subscription access to this journal. Figure files 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 (43)

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