Computational Method of Studying the Field Propagation Through an Inhomogeneous Thin Film Medium using Lippmann-Schwinger Equation

Ugwu, E. I.

doi:10.1063/1.3507190

Cited by 3 publications

(3 citation statements)

References 3 publications

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“…Analytically, equation 20is an important approximation, though it appears to restrict the use of beam propagation technique in the study of the influence of the reflected wave on the forward propagating one in a structured thin film material except where there is a variation in the refractive index as a function of the propagating distant in which case the reflected wave add up coherently to the propagating wave and since the Green's function as obtained in our formalism satisfies For every given wave of wavelength,  propagating through the thin film medium of refractive index, n, the impedance is expressed as in equation (23). With the knowledge of the impedance, the absorption co-efficient of the propagating wave is computed and in turn used for further application.…”

Section: Analysis Of the Influence Of Refractive Index On The Propagamentioning

confidence: 99%

“…This forms the inclination that brought about the use of wave propagation since the response by the material medium to the wave propagating through it is the determinant. Our method here involves propagating an input field over a small distance through the thin film medium and then iterating the computation over and over through the propagation distance using Lippmann-Schwinger equation and its counterpart, Dyson's equation [23].…”

Section: Introductionmentioning

confidence: 99%

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Theoretical Analysis of the Influence of the Refractive Index on Electromagnetic Wave Propagating through Manganese Sulphide [MnS]

Ugwu¹

2018

NNOA

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The theoretical analysis of the Electromagnetic wave propagation through chemically bath deposited manganese sulphide thin film and optical properties were studied using beam propagation technique in which a scalar wave is propagated through the material thin film deposited on a substrate with the assumption that the refractive index of the medium has homogenous reference refractive index reference term, nref and a perturbed refractive index term, representing the deposited thin film medium is presented in this work. These are substituted into a defined scalar wave equation in which the appropriate Green's Function was defined on it and solved using series solution technique in conjunction with Born approximation method in order to obtain a model equation of wave propagating through the thin film. This was transformed to Voltera equation and used in computing the propagated field for different input regions of the field wavelength such as ultraviolet, visible and infrared region respectively during which the influence of the influence of the refractive index on the propagating wave through the thin film was considered. The results obtained from the computed field were used in turn to compute the band gaps and optical properties of the thin film.

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Section: Analysis Of the Influence Of Refractive Index On The Propagamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis of the Influence of the Refractive Index on Electromagnetic Wave Propagating through Manganese Sulphide [MnS]

Ugwu¹

2018

NNOA

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“…These equations could be written in a compact matrix form as in the equation below. (16) of which the corresponding field matrix counterpart from algebraic equation ( 15) is given below. (17).…”

Section: Theoretical Proceduresmentioning

confidence: 99%

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

Ugwu

Okeke

2011

The International Journal of Multiphysics

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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, ∆ε p (z) and mesh size, N p on the propagating wave for three region of electromagnetic wave were clearly assessed.

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Computational study of wave propagation through a dielectric thin film medium using WKB approximation

Ugwu¹,

Maliki²

2011

AJSIR

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Wave propagation in a non-homogeneous dielectric thin film medium using W.K.B approximation technique is presented. The approximation is used to solve a scalar wave equation that contains a dielectric perturbation,by imposing all the W.K.B approximation conditions in conjunction with other necessary boundary conditions that were applied in the solution. The influence of the perturbation on the propagating wave profile through the thin film for ultra-violet, optical and infrared regions of electromagnetic wave was analyzed.

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Computational Method of Studying the Field Propagation Through an Inhomogeneous Thin Film Medium using Lippmann-Schwinger Equation

Cited by 3 publications

References 3 publications

Theoretical Analysis of the Influence of the Refractive Index on Electromagnetic Wave Propagating through Manganese Sulphide [MnS]

Theoretical Analysis of the Influence of the Refractive Index on Electromagnetic Wave Propagating through Manganese Sulphide [MnS]

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

Computational study of wave propagation through a dielectric thin film medium using WKB approximation

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