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An Electromagnetic Formulation for Treating Optical Reflections From Graded-Material Surfaces (Classic Reprint) - Brossura
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Excerpt from An Electromagnetic Formulation for Treating Optical Reflections From Graded-Material Surfaces
Exact solutions of Maxwell's equations, in terms of well-known functions, are available for only a few simple depth-dependent material geometries. In those cases the complex reflection coefficient is deter mined by solving Maxwell's equations for the fields within the inhomogeneous region, applying boundary conditions to match the interior fields with the exterior plane wave fields, and finally forming the ratio of the appropriate components of the incident and reflected plane wave fields. This procedure may not be easy or practicable to perform. Fortunately, the theory can be reformulated to provide the reflection coefficient directly as the solution of an ordinary differential equation, and thereby completely circumvent the field solutions. This approach is particularly convenient when the material properties are numerically specified.
In the present formulation the entire space -00 z co) is filled with a medium whose properties are permitted to vany with coordinate 2 (fig. L). For sufficiently negative 2 the (exterior) medium is homogeneous and supports the incident and reflected plane waves. In the vicinity of z O the medium undergoes a transition which eventually develops, for sufficiently positive 2, into a second homogeneous region. The latter, representing the uniform interior of the medium, supports the transmitted plane wave. For the sake of generality both the permittivity (e) and the permeability (u) are treated as arbitrary, independent functions which for large positive and negative values of z approach constant values. Losses are included by treating the permittivity and permeability functions as complex entities in the frequency domain.
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- EditoreForgotten Books
- Data di pubblicazione2018
- ISBN 10 1390391639
- ISBN 13 9781390391633
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine50
- Contatto del produttorenon disponibile
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Paperback. Condizione: New. Print on Demand. This book introduces a ground-breaking method for applying electromagnetic principles to analyze optical reflections from surfaces with varying material compositions. The author derives a non-linear differential equation that the reflection coefficient for either linear polarization of light must obey. This approach allows for the direct computation of reflection coefficients without the need to tediously solve complex Maxwell's equations. An alternative formulation using wave impedance and admittance is also explored, revealing a bilinear transformation that links it to the reflection coefficient formulation. The book emphasizes that both formulations can be applied even to reflections from the surfaces of metals, a previously insurmountable obstacle. The author demonstrates how the wave admittance formulation can be particularly useful for eliminating the appearance of singularities that hinder the reflection coefficient formulation. Overall, this book offers a robust and innovative set of tools for understanding and analyzing optical reflections, making it an important resource for researchers and practitioners in optics and related fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Codice articolo 9781390391633_0
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