Abstract

We apply the tools of the fractional calculus to introduce new fractional-order beam solutions to the paraxial wave equation that can be regarded as intermediate solutions between the known integral-order solutions. We restrict our attention to the fractionalization of the elegant and standard Hermite–Gaussian beams.

© 2007 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Fractionalization of optical beams: II. Elegant Laguerre-Gaussian modes

Julio C. Gutiérrez-Vega
Opt. Express 15(10) 6300-6313 (2007)

Cartesian beams

Miguel A. Bandres and Julio C. Gutiérrez-Vega
Opt. Lett. 32(23) 3459-3461 (2007)

Elegant Ince–Gaussian beams

Miguel A. Bandres
Opt. Lett. 29(15) 1724-1726 (2004)

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 (2)

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 (10)

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