On the treatment of the propagation of electromagnetic waves in an isotropic inhomogeneous dielectric medium as waves in a medium with effective anisotropy described by the permeability tensor

1996 ◽  
Vol 39 (7) ◽  
pp. 558-561 ◽  
Author(s):  
V. A. Permyakov
Keyword(s):  
Electromagnetic Waves ◽  
Dielectric Medium ◽  
Permeability Tensor ◽  
Effective Anisotropy ◽  
Inhomogeneous Dielectric

Electrochemically Prepared Pore Arrays for Photonic-Crystal Applications

MRS Bulletin ◽  
2001 ◽  
Vol 26 (8) ◽  
pp. 623-626 ◽  
Author(s):  
R.B. Wehrspohn ◽  
J. Schilling
Keyword(s):  
Photonic Crystal ◽  
Photonic Crystals ◽  
Electromagnetic Waves ◽  
Porous Alumina ◽  
Dielectric Materials ◽  
Dielectric Medium ◽  
Geometrical Parameters ◽  
Quarter Wavelength ◽  
Physically Based ◽  
1D Photonic Crystal

In the last few years, photonic crystals have gained considerable interest due to their ability to “mold the flow of light.” Photonic crystals are physically based on Bragg reflections of electromagnetic waves. In simple terms, a one-dimensional (1D) photonic crystal is a periodic stack of thin dielectric films with two different refractive indices, n1 and n2. The two important geometrical parameters determining the wavelength of the photonic bandgap are the lattice constant, a = d1(n1) + d2(n2), and the ratio of d1 to a (where d1 is the thickness of the layer with refractive index n1, and d2 is the thickness of layer n2). For a simple quarter-wavelength stack, the center wavelength λ of the 1D photonic crystal would be simply λ = 2n1d1 + 2n2d2. In the case of 2D photonic crystals, the concept is extended to either airholes in a dielectric medium or dielectric rods in air. Therefore, ordered porous dielectric materials like porous silicon or porous alumina are intrinsically 2D photonic crystals.

Representation of the Coherent Field in Terms of the Coherent Green's Function Associated with Scattering of Waves in a Random Medium

1974 ◽  
Vol 52 (17) ◽  
pp. 1703-1713 ◽  
Author(s):  
S. N. Samaddar
Keyword(s):  
Electric Field ◽  
Green’S Function ◽  
Green's Function ◽  
Electromagnetic Waves ◽  
Random Medium ◽  
Fundamental Equation ◽  
Dielectric Medium ◽  
Dyadic Green’S Function ◽  
Dyadic Green's Function ◽  
Coherent Field

Development of the fundamental equation for the multiple scattering of electromagnetic waves by an ensemble of randomly distributed electrons is reviewed. From this expression integro-differential equations satisfied by the coherent electric field as well as the coherent dyadic Green's function are constructed. The scattered coherent field is then represented in terms of the coherent dyadic Green's function. In addition, analogous expressions are presented for the problem of scattering of electromagnetic waves from a fluctuating dielectric medium.

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