OSA's Digital Library

Journal of Lightwave Technology

Journal of Lightwave Technology

| A JOINT IEEE/OSA PUBLICATION

  • Vol. 29, Iss. 22 — Nov. 15, 2011
  • pp: 3445–3452

Arbitrary-Order Full-Vectorial Interface Conditions and Higher Order Finite-Difference Analysis of Optical Waveguides

Yih-Peng Chiou and Cheng-Han Du

Journal of Lightwave Technology, Vol. 29, Issue 22, pp. 3445-3452 (2011)


View Full Text Article

Acrobat PDF (1486 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations
  • Export Citation/Save Click for help

Abstract

We derive generalized full-vectorial continuity relations of field derivatives across an abrupt curved interface. Using the Helmholtz wave equation, we can extend the interface conditions by two orders. Repeating the process, we obtain interface conditions of even and odd orders from the zeroth- and first-order interface conditions, respectively, which can be extended to arbitrary orders. The interface conditions combined with Taylor series expansion are applied in higher order full-vectorial finite-difference analysis of several waveguide structures. From effective index convergence analysis of optical fiber modes, the 6-, 15-, and 28-point schemes give second-, fourth-, and sixth-order convergence, respectively. The higher order formulation is also applied to guided mode analysis of photonic crystal fibers and terahertz pipe waveguides, where improved accuracy is obtained when using higher order scheme. Our proposed method allows coarser discretization, which can greatly reduce the computation time and memory. The ultimate accuracy can also be higher due to smaller accumulated roundoff error.

© 2011 IEEE

Citation
Yih-Peng Chiou and Cheng-Han Du, "Arbitrary-Order Full-Vectorial Interface Conditions and Higher Order Finite-Difference Analysis of Optical Waveguides," J. Lightwave Technol. 29, 3445-3452 (2011)
http://www.opticsinfobase.org/jlt/abstract.cfm?URI=jlt-29-22-3445

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

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited