Eigenmode expansion of the polarization for a spherical sample of two-level atoms

2009 ◽  
Vol 373 (48) ◽  
pp. 4416-4425 ◽  
Author(s):  
Richard Friedberg ◽  
Jamal T. Manassah
Keyword(s):  
Spherical Sample ◽  
Eigenmode Expansion

A theory of the dielectric polarization of polar substances

1956 ◽  
Vol 238 (1213) ◽  
pp. 235-244 ◽  
Keyword(s):  
Dielectric Constant ◽  
Short Range ◽  
Approximate Equation ◽  
Mean Square ◽  
Dielectric Polarization ◽  
Bulk Properties ◽  
Classical Statistical Mechanics ◽  
Spherical Sample ◽  
The Mean ◽  
Onsager Equation

With the aid of classical statistical mechanics, a general expression for the static dielectric constant is derived. It is found, as in earlier work, that the dielectric constant is dependent upon the mean-square dipole moment of a macroscopic spherical sample of the substance. This mean-square moment is expanded as a series in powers of the mean molecular polarizability, and the terms proportional to the zero and first powers are evaluated in detail and in such a way that the long- and the short-range effects are separated. The former are determined with the aid of macroscopic arguments, so that a purely molecular theory remains. In the limit when short-range directional forces are zero, the formula reduces to the well-known Onsager equation. It is found that it is not in general legitimate to replace the surroundings of a macroscopic sample by a continuum having the bulk properties of the substance, and for this reason the approximate equation of Harris & Alder is found to lead to doubtful conclusions. The general equations are applied to the experimental data for water and other liquids, and the results are not unsatisfactory.

Advanced boundary conditions for eigenmode expansion models

2002 ◽  
Vol 34 (5-6) ◽  
pp. 523-540 ◽  
Author(s):  
Peter Bienstman ◽  
Roel Baets
Keyword(s):  
Boundary Conditions ◽  
Eigenmode Expansion

Thomsen's parameters from p-wave measurements in a spherical sample‡

2010 ◽  
Vol 60 (1) ◽  
pp. 103-116 ◽  
Author(s):  
Andrej Bóna ◽  
Dariush Nadri ◽  
Miroslav Brajanovski
Keyword(s):  
P Wave ◽  
Wave Measurements ◽  
Spherical Sample

Ultra-compact hybrid plasmonic mode convertor based on unidirectional eigenmode expansion

2020 ◽  
Vol 45 (4) ◽  
pp. 803
Author(s):  
Ruixuan Chen ◽  
Bowen Bai ◽  
Fenghe Yang ◽  
Zhiping Zhou
Keyword(s):  
Plasmonic Mode ◽  
Eigenmode Expansion
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