OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 29, Iss. 4 — Apr. 1, 2012
  • pp: 763–768

Generic pattern formation of sharp-boundaries pulses propagation in dispersive media

Er’el Granot, Eitam Luz, and Avi Marchewka  »View Author Affiliations


JOSA B, Vol. 29, Issue 4, pp. 763-768 (2012)
http://dx.doi.org/10.1364/JOSAB.29.000763


View Full Text Article

Enhanced HTML    Acrobat PDF (293 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In optical communication, pulses have approximately a rectangular shape with smooth boundaries. In order to understand the dynamics of these pulses: (A) the generic dynamics of singular quantum mechanics’ wave functions was applied to sharp-boundaries pulses propagation in short dispersive medium and (B) an analytical expression for the propagation of a smooth rectangular pulse in dispersive medium was derived. This analytical expression consists of a couple of complex error functions and can be applied in good approximation to most rectangular pulses propagations in dispersive medium. (C) An analytical approximation was derived for the propagation of any pulse with sharp boundaries. This approximation, despite being analytical, can be applied to any sharp-boundaries pulse with any given shape. These exact expressions and approximations can be used in other systems where the Schrödinger dynamics hold, such as the paraxial approximation.

© 2012 Optical Society of America

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: October 24, 2011
Revised Manuscript: December 24, 2011
Manuscript Accepted: December 30, 2011
Published: March 26, 2012

Citation
Er’el Granot, Eitam Luz, and Avi Marchewka, "Generic pattern formation of sharp-boundaries pulses propagation in dispersive media," J. Opt. Soc. Am. B 29, 763-768 (2012)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-29-4-763

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited