Choosing Numerical Methods For Modeling Photonic Crystal Waveguides H.

Authors: Lavrinenko A.V., Lavrinenko Y.V., Chernenko D.S.

Year: 2011

Issue: 11

Pages: 234-241


The paper discusses optimal methods for numerical modeling of components made on the base of photonic crystals.

Tags: algorithm; convergence; finite difference; Fourier series; Maxwell’s equations; photonic crystal; plane wave


  1. Joannopoulos J. D., Meade R.D., Winn J.N., Photonic Crystals: Molding the flow of light.- Princeton Univ. Press, 1995.
  2. Meade R.D., Rappe A.M., Brommer K.D., Joannopoulos J.D., Alerhand O.L. Accurate theoretical analysis of photonic band gap materials//Phys. Rev. B -1993.-V.48, No11.- P. 8434- 8437.
  3. Yee K.S. Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media//IEEE Trans. Antennas Propag.-1966.-V.14,No10.-P.302-307.
  4. Munz C.-D., Ommes P., Schneider R. A three-dimensional finite-volume solver for the Maxwell equations with divergence cleaning on unstructured meshes//Comp. Phys. Commun.-2000.-V.130.-P.83-117.
  5. Berenger J. A perfectly matched layer for the absorption of electromagnetic waves // J. Comput. Phys.-1994.-V.114,No7.-P.185-200.
  6. Hwang K.-P., Cangellaris A.C. Effective permittivities for second-order accurate FDTD equations at dielectric interfaces//IEEE Microw. and Wireless Compon. Lett. – 2001.- V.11, No.4. – P.158-160.
  7. Chan C.T., Yu Q.L., Ho K.M. Order-N spectral method for electromagnetic waves//Phys. Rev. B.-1995.-V.51, No23.-P.16635-16642.
  8. Mekis A., Chen J.C., Kurland I. Fan S., Villeneuve P.R., Joanopoulos J.D.High transmission through sharp bends in photonic crystal waveguides// Phys. Rev. Lett.-1996.- V.77, No18. – P.3787 – 3790 .
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