Abstract

A generic formalism for the propagation of a pulse with sharp boundaries in any linear medium is derived. It is shown that such a pulse experiences generic deformations. For any given linear medium, the pulse deformation is expressed as a generic differential operator, which characterizes the medium and which operates on the pulse at the singular points (the sharp boundaries). The theory is then applied to a Fabry–Perot etalon and to dispersive media with second order dispersion, third order dispersion, and a combination of both. Simple approximate expressions are also derived for a relatively short, i.e., low dispersive, medium and compared with exact numerical solutions.

© 2016 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Generic pattern formation of sharp-boundaries pulses propagation in dispersive media

Er’el Granot, Eitam Luz, and Avi Marchewka
J. Opt. Soc. Am. B 29(4) 763-768 (2012)

Generic propagation of beams with sharp spatial boundaries

Eitam Luz, Tamar Ben Yaakov, Shaul Leiman, Shmuel Sternklar, and Er’el Granot
J. Opt. Soc. Am. A 32(4) 678-684 (2015)

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 (7)

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 (65)

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