Theoretical Study of Field Propagation Through a Nonhomogeneous Thin Film Medium Using Lippmann-Schwinger Equation
DOI:
https://doi.org/10.1260/1750-9548.4.4.305Abstract
A computational technique was used to study the field propagation through an inhomogeneous thin film using Lippmann-Schwinger equation. The iterative formalism was used which was constructed based on the principle of Born approximation method due to the difficulty in using direct numerical resolution as a result of implicit nature of the function. The computed field value, Ψ through the thin film with variation of the propagation distance was analyzed within the ultraviolet, visible and near of electromagnetic wave and the absorption of the propagated wave by the thin film studied. The energy band gap was also estimated from the computed absorption coefficient obtained from our formalism.References
J.A Fleck, J.R Morris and M. D. Feit 1976 "Time - dependent propagation of high energy laser beans through the atmosphere" Applied phys 10, 129-160. https://doi.org/10.1007/bf00896333
M.D Feit and J.A Fleck 1978 "Light propagation in graded - index optical fibers" Applied optical 17, 3990-3998. https://doi.org/10.1364/ao.17.003990
E. I. Ugwu, P.C Uduh and G.A Agbo 2007 "The effect of change in refractive index on wave propagation through (feS2) thin film". Journal of Applied Sc. 7 (4). 570-574. https://doi.org/10.3923/jas.2007.570.574
L. Thylen and C.M Lee 1992 "Beam propagation method based on matrix digitalization" J. optical science A/9 (1). 142-146.
H.L Ong 1993 "2 x?2 propagation matrix for electromagnetic waves propagating obliquely in layered inhomogeneous unaxial media" J. Optical Science A/10(2). 283-393. https://doi.org/10.1364/josaa.10.000283
E. I. Ugwu 2005 "Effects of the electrical conductivity of thin film on electromagnetic wave propagation. JICCOTECH Maiden Edition. 121-127.
E.N Economou 1979 "Green's functions in Quantum physics", 1st. Ed. Springer. Verlag, Berlin.
A.D Yaghjian 1980 "Electric dynamic green's functions in the source region's Proc IEEE 68, 248-263.
G. W. Hanson 1996 "A Numerical formation of Dyadic Green's functions for planar Bianisotropic Media with Application to printed Transmission line" IEEE Transaction on Microwave theory and techniques, 44(1). https://doi.org/10.1109/22.481396
G. Gao, C Tores - Verdin and T.M Hat 2005 "Analytical Techniques toe valuate the integration of 3D and 2D spatial Dyadic Green's function" progress in Electromagnetic Research PIER 52, 47-80. https://doi.org/10.2528/pier04070201
E. I. Ugwu, C.E Okeke and S.I Okeke 2001. "Study of the UV/optical properties of FeS2 thin film Deposited by solution Growth techniques JEAS Vol. 1 No. 13-20.
P. A. Cox 1978 "The electronic structure and Chemistry of solids" Oxford University Press Ch. 1-3.
F.J Blatt 1968 "Physics of Electronic conduction in solid". Mc Graw - Hill Book Co Ltd New York, 335-350.
A.B Cody, G. Brook and Abele 1982 "Optical Absorption above the Optical Gap of Amorphous Silicon Hydride". Solar Energy material, 231-240. https://doi.org/10.1016/0165-1633(82)90065-x
Lee, J.K and Kong J.A 1983 Dyadic Green's Functions for layered an isotropic medium. Electromagn. Vol. 3 pp. 111-130.
Agarwal, G.S, 1977, Interaction of Electromagnetic waves at rough dielectric surface "Phy Rev. B, condens matter vol. 15 pp. 2371-2383. https://doi.org/10.1103/physrevb.15.2371
Brillouin, L, 1963, Wave propagation and group velocity Acamemic press, New York.
Published
How to Cite
Issue
Section
Copyright (c) 2010 E Ugwu

This work is licensed under a Creative Commons Attribution 4.0 International License.