OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 9 — Sep. 1, 2007
  • pp: 2249–2258

Numerical stable method for the analysis of Bloch waves in a general one-dimensional photonic crystal cavity

W. J. Hsueh and J. C. Lin  »View Author Affiliations


JOSA B, Vol. 24, Issue 9, pp. 2249-2258 (2007)
http://dx.doi.org/10.1364/JOSAB.24.002249


View Full Text Article

Enhanced HTML    Acrobat PDF (603 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a numerical stable method to accurately solve band structures and the eigenvalues of a multilayer-basis photonic crystal cavity. We derive a set of band-edge equations to determine the band structures rather than use the cosine of the Bloch phase, which is traditionally used but may induce numerical instability. Moreover, two novel formulas are proposed to solve the eigenvalues for the cavity modes. The eigenvalues solved by the method are accurate without including the spurious solutions. Thus, it is not required to eliminate the spurious solutions from the results. Finally, numerical examples of binary and Fibonacci multilayers in each cell are studied to demonstrate that this method has better numerical stability in computing the band structure and cavity modes than traditional methods.

© 2007 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(130.2790) Integrated optics : Guided waves

ToC Category:
Photonic Crystals

History
Original Manuscript: March 9, 2007
Revised Manuscript: May 27, 2007
Manuscript Accepted: May 28, 2007
Published: August 20, 2007

Citation
W. J. Hsueh and J. C. Lin, "Numerical stable method for the analysis of Bloch waves in a general one-dimensional photonic crystal cavity," J. Opt. Soc. Am. B 24, 2249-2258 (2007)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-24-9-2249

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