OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: G. I. Stegeman
  • Vol. 23, Iss. 9 — Sep. 1, 2006
  • pp: 1743–1751

Study of optically induced effects due to bending and twisting using the vector finite-element method

Jennifer Dacles-Mariani and Garry Rodrigue  »View Author Affiliations


JOSA B, Vol. 23, Issue 9, pp. 1743-1751 (2006)
http://dx.doi.org/10.1364/JOSAB.23.001743


View Full Text Article

Enhanced HTML    Acrobat PDF (602 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We study the effects of macroscopic bends and twists in an optical waveguide and how they influence the transmission capabilities of a waveguide. These mechanical stresses and strains distort the optical indicatrix of the medium, producing optical anistropy. The spatially varying refractive indices are incorporated into the full-wave Maxwell’s equations. The governing equations are discretized by using a vector finite-element method cast in a high-order finite element approximation. This approach allows us to study the complexities of the mechanical deformation within a framework of a high-order formulation that can, in turn, reduce the computational requirement without degrading its performance. The optical activities generated, total energy produced, and power loss due to the mechanical stresses and strains are reported and discussed.

© 2006 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(060.2400) Fiber optics and optical communications : Fiber properties
(230.7370) Optical devices : Waveguides

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: September 20, 2005
Revised Manuscript: December 6, 2005
Manuscript Accepted: December 29, 2005

Citation
Jennifer Dacles-Mariani and Garry Rodrigue, "Study of optically induced effects due to bending and twisting using the vector finite-element method," J. Opt. Soc. Am. B 23, 1743-1751 (2006)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-23-9-1743


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. K. S. Yee, "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propag. 1, 302-307 (1966).
  2. A. Taflove and M. E. Brodwin, "Numerical solution of steady-state electromagnetic scattering problems using the time-dependent Maxwell's equations," IEEE Trans. Microwave Theory Tech. 23, 623-630 (1975). [CrossRef]
  3. K. S. Kunz and R. J. Luebbers, The Finite Difference Time Domain Method for Electromagnetics (CRC Press, 1993).
  4. V. Shankar, A. Mohammadia, and W. Hall, "A time-domain finite-volume treatment for the Maxwell equations," Electromagnetics 10, 127-145 (1990). [CrossRef]
  5. R. W. Noack and D. A. Anderson, "Time-domain solutions of Maxwell's equations using a finite-volume formulation," Presented at the AIAA 30th. Aerospace Sciences Meeting, Reno, Nev., Jan. 6-9 1992, paper 92-0451.
  6. S. Brandon and P. Rambo, "Stability of the DSI electromagnetic update algorithm on a chevron grid," in Proceedings of the 22nd IEEE International Conference on Plasma Science, (IEEE, 1995).
  7. D. J. Riley and C. D. Turner, "VOLMAX: a solid model based transient volumetric Maxwell solver using hybrid grids," IEEE Trans. Antennas Propag. 39, 20-23 (1997).
  8. J. C. Nedelec, "Mixed finite elements in R3," Numer. Math. 35, 315-341 (1980). [CrossRef]
  9. J. C. Nedelec, "A new family of mixed finite elements in R3," Numer. Math. 50, 57-81 (1986). [CrossRef]
  10. A. Bossavit, "Whitney forms: A class of finite elements for three-dimensional computations in electromagnetism," IEE Proc. A: Sci., Meas. Technol. 135, 493-500 (1988).
  11. A. Konrad, "Vector variational formulations of electromagnetic fields in anisotropic media," IEEE Trans. Microwave Theory Tech. 24, 533-559 (1976). [CrossRef]
  12. A. Bossavit, "Solving Maxwell equations in a closed cavity, and the question of spurious modes," IEEE Trans. Magn. 26, 702-705 (1990). [CrossRef]
  13. R. Rieben, D. White, and G. Rodrigue, "High-order symplectic integration methods for finite element solutions to time dependent Maxwell equations," IEEE Trans. Antennas Propag. 52, 2190-2195 (2004). [CrossRef]
  14. R. Rieben, "A novel high order time domain vector finite element for the simulation of electronic device," Ph.D. dissertation, UCRL-TH-205466 (University of California, Davis, 2004).
  15. M. Li and X. Chen, "Fiber spinning for reducing polarization mode dispersion in single mode fibers: theory and applications," Opt. Fiber Technol. 8, 162-169 (2002).
  16. R. Ulrich and A. Simon "Polarization optics of twisted single-mode fibers," Appl. Opt. 18, 2241-2251 (1979). [CrossRef] [PubMed]
  17. R. T. Deck, M. Mirkov, and B. G. Bagley, "Determination of bending losses in rectangular waveguides," J. Lightwave Technol. 16, 1703-1714 (1998). [CrossRef]
  18. Z. Menachem, "Wave propagation in a curved waveguide with arbitrary dielectric transverse profiles," Electromagn. Waves 42, 173-192 (2003). [CrossRef]
  19. H. Tai and R. Rogowski, "Optical anisotropy induced by torsion and bending in an optical fiber," Opt. Fiber Technol. 8, 162-169 (2002). [CrossRef]
  20. G. Durana, J. Zubia, J. Arrue, G. Aldabaldetreku, and J. Mateo, "Dependence of bending losses on cladding thickness in plastic optical fibers," Appl. Opt. 42, 997-1002 (2003). [CrossRef] [PubMed]
  21. XYZ Scientific Applications Inc., TrueGrid home page, http://www.truegrid.com(2002).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited