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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 8 — Apr. 13, 2009
  • pp: 5965–5979

A finite-difference frequency-domain method for full-vectroial mode solutions of anisotropic optical waveguides with an arbitrary permittivity tensor

Ming-yun Chen, Sen-ming Hsu, and Hung-chun Chang  »View Author Affiliations

Optics Express, Vol. 17, Issue 8, pp. 5965-5979 (2009)

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A new finite-difference frequency-domain (FDFD) method based eigenvalue algorithm is developed for analyzing anisotropic optical waveguides with an arbitrary permittivity tensor. Yee’s mesh is employed in the FD formulation along with perfectly matched layer (PML) absorption boundary conditions. A standard eigenvalue matrix equation is successfully derived through considering simultaneously four transverse field components. The new algorithm is first applied to the mode solution of a proton-exchanged LiNbO3 optical waveguide and the results agree with those obtained using a full-vectorial finite-element beam propagation method. Then, the algorithm is used to study modes on a liquid-crystal optical waveguide with arbitrary molecular director orientation. This arbitrary orientation may cause the loss of transverse-axis symmetries of the waveguide with symmetric background structure. Asymmetric mode-field profiles under such situations are clearly demonstrated in the numerical examples.

© 2009 Optical Society of America

OCIS Codes
(130.2790) Integrated optics : Guided waves
(230.3720) Optical devices : Liquid-crystal devices
(230.7370) Optical devices : Waveguides
(260.2110) Physical optics : Electromagnetic optics

ToC Category:
Physical Optics

Original Manuscript: January 28, 2009
Revised Manuscript: March 18, 2009
Manuscript Accepted: March 18, 2009
Published: March 30, 2009

Ming-yun Chen, Sen-ming Hsu, and Hung-Chun Chang, "A finite-difference frequency-domain method for full-vectroial mode solutions of anisotropic optical waveguides with arbitrary permittivity tensor," Opt. Express 17, 5965-5979 (2009)

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