Abstract

An elliptic Gaussian optical beam (EGB) in a Kerr-law nonlinear graded-index rod lens is treated as two dependent optical beams. Two coupled differential equations of the dimensionless beam-width parameters of two beams in the rod lens are derived by a variational approach and then solved for what is to my knowledge the first time. Investigations of the propagation and the collapse of the EGB in the rod lens and the transformation of the EGB by the rod lens are presented. It is concluded that the properties of propagation, collapse, and transformation are largely determined by the power and initial ellipticity of the incident EGB. The field derived also applies to the EGB propagating in a nonlinear graded-index fiber.

© 2000 Optical Society of America

Full Article  |  PDF Article

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 (8)

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 (48)

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