Iterative Computational Scheme of Studying Electromagnetic Wave Propagation through Dielectric Thin Film Medium

Authors

  • E Ugwu
  • C Okeke

DOI:

https://doi.org/10.1260/1750-9548.5.3.267

Abstract

We present an approach to the computation of electromagnetic wave propagation through a dielectric thin film medium using iterative scheme. We used the Green's function technique involving some necessary boundary condition to solve the scalar wave equation. Non-vectorial aspects of the propagating wave through the thin film resulting from the film orientation were considered. The iterative numerical scheme based on the parallel use of Lippmann-Schwinger and Dyson's equations is demonstrated and used judiciously in the computation. The influence of the numerical parameters such as Green's function, thickness of the thin film, dielectric perturbation, Δεp(z) and mesh size, Np on the propagating wave for three region of electromagnetic wave were clearly assessed.

References

Feit, M.D and Fleck Jr. J.A (1978) Light propagation in graded-index optical fibres Appl. Optic 17 3990-3998. https://doi.org/10.1364/ao.17.003990

Feit, M.D and Fleck Jr. J.A (1979) Calculation of dispersion in graded-index multimode fibres by propagating beam method. Appl. Optics 18 2843-2851. https://doi.org/10.1364/ao.18.002843

Feit, M.D and Fleck Jr. J.A (1980) Computation of mode properties in optical fibre waveguides by a propagating beam method. Appl. Optics 19 1154-1164. https://doi.org/10.1364/ao.19.001154

van Roey, J. van der Donk J. and Lagasse P.E (1981) beam Propagation method; analysis and assessment. J. Opt Soc. Am. 71 803-810. https://doi.org/10.1364/josa.71.000803

Yevick, D and Glasner, M (1990), Forward wide-angle light propagation in semiconductor rib waveguides. Opt. lett. 15 174-176. https://doi.org/10.1364/ol.15.000174

Splett A, M. Majd and K. Petermann (1991) A novel beam propagation method for large refractive index steps and large propagation distances. IEEE. Photon, Technol. Lett. 3 466-468. https://doi.org/10.1109/68.93880

Stern, M.S (1991) Rayleigh quotient solution of semivectorial field problem for optical waveguides with arbitrary index profiles IEEE Proc. J. 138 185-190. https://doi.org/10.1049/ip-j.1991.0032

Clauberg, R and P. van Allmen (1991) Vectorial beam-propagation method for integrated optics. Elecron Lett. 27 654-655. https://doi.org/10.1049/el:19910410

Huang, W.P: Xu, C.L, Chu, S.T and S.K Chaudhuri (1991) A vector beam propagation method for guided wave optics. IEEE Photon Technol. Lett. 3 910-913. https://doi.org/10.1109/68.93259

Martin, O.J.F, Clauberg, R. and P. van Allmen Demonstration of the three-dimensional vectorial beam propagation; presented at the European conference on optical communication, Paris Sept. 9-12, 1991

Chung. Y. Dagli, N. and and Thyle/n (1991) Explicit finite-diference vectorial beam propagation method Electron Lett. 27 2119-2120. https://doi.org/10.1049/el:19911313

Chuang, W; Xu, C. Chu, S.T and Chaudhuri, S.K [1992] The finite-difference vector beam propagation method. Analysis and assessment. IEEE. J. Ligth wave Technol. 10 295-305. https://doi.org/10.1109/50.124490

Liu, J. M and Gomelsky, L. (1990) Vectorial beam propagation method. J Opt. Soc Am A9 1574-1585

Martin J.F.O, Alian Dereux and Girard Chirstian (1994) Iterative scheme for computing exactly the total field propagating in dielectric structure of arbitrary shape. J. Opt. Soc. Am vol. 11 3 1073-1081. https://doi.org/10.1364/josaa.11.001073

Ugwu E.I Uduh P.C and Agbo G. A (2007) The effect of change in refractive index on wave propagating through (FeS2) thin film. J. Appl Sci 7(4) 570-574

Ugwu, E.I (2011) computational method of studying the field propagation through an inhomogeneous thin film using Lippmann-Schwinger equation. Trend in Appl Science Research 6(1) 73-80. https://doi.org/10.1063/1.3507190

Gao, G. Torres-Verdin, C. and Habashy, T.M (2005) Analytical techniques to evaluate the integrals of 3D and 2D spatial, Dyadic Green's functions. Progress in Electromagnetic Research, PIER 52 47-80. https://doi.org/10.2528/pier04070201

Published

2011-09-30

How to Cite

Ugwu, E. and Okeke, C. (2011) “Iterative Computational Scheme of Studying Electromagnetic Wave Propagation through Dielectric Thin Film Medium”, The International Journal of Multiphysics, 5(3), pp. 267-274. doi: 10.1260/1750-9548.5.3.267.

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Section

Articles