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Maxwell's equations resemble Schr\"odinger's equation in that an exact solution for a well-defined model delivers all physically relevant details. Solvable microscopic electrodynamic models, however, are rare. An exception is the discrete…

Classical Physics · Physics 2025-11-04 Richard Dengler

A statistical mechanics expression is derived for the space-dependent dielectric permittivity of a polar solvent near an interface. The asymptotic behaviour of this local permittivity is calculated in the low density limit, near a planar…

Statistical Mechanics · Physics 2009-11-10 V. Ballenegger , J. -P. Hansen

In the present article the classical problem of electromagnetic scattering by a single homogeneous sphere is revisited. Main focus is the study of the scattering behavior as a function of the material contrast and the size parameters for…

Classical Physics · Physics 2017-06-28 Dimitrios C. Tzarouchis , Pasi Ylä-Oijala , Ari Sihvola

In this paper, we provide novel characterizations of the weakly unobservable and the strongly reachable subspaces corresponding to a given state-space system. These characterizations provide closed-form representations for the said…

Systems and Control · Electrical Eng. & Systems 2021-11-09 Imrul Qais , Chayan Bhawal , Debasattam Pal

We present a numerical approximation method for linear diffusion-reaction problems with possibly discontinuous Dirichlet boundary conditions. The solution of such problems can be represented as a linear combination of explicitly known…

Numerical Analysis · Mathematics 2017-07-05 Ramona Baumann , Thomas P. Wihler

Influence of number of particles considered in numerical simulations on complex dielectric permittivity of binary dilute dielectric mixtures in two-dimensions are reported. In the simulations, dodecagons (polygons with 12-sides) were used…

Materials Science · Physics 2007-05-23 Enis Tuncer , Emre Tuncer

The work deals with the experimental study of the emulsion whose dispersion medium is a magnetic fluid while the disperse phase is formed by a glycerin-water mixture. It is demonstrated that under effect of a magnetic field chain aggregates…

Soft Condensed Matter · Physics 2014-02-06 Arthur Zakinyan , Yuri Dikansky , Marita Bedzhanyan

A local permittivity model is proposed to accurately characterize spatial dispersion in non-local wire-medium (WM) structures with arbitrary terminations. A closed-form expression for the local thickness-dependent permittivity is derived…

Classical Physics · Physics 2020-04-22 Alexander B. Yakovlev , Mário G. Silveirinha , George W. Hanson

We consider a semi-infinite spatially dispersive dielectric with unequal transverse and longitudinal susceptibilities. The effect of the boundary is characterized by arbitrary reflection coefficients for polarization waves in the material…

Optics · Physics 2017-01-09 R. J. Churchill , T. G. Philbin

We consider the effect of different approximations to the dielectric function of a silver sphere on the absorption of light by two-dimensional and three-dimensional periodic and non-periodic arrays of non-overlapping silver spheres in a…

Soft Condensed Matter · Physics 2007-05-23 V. Yannopapas , A. Modinos , N. Stefanou

Absorption and scattering of electromagnetic waves by dielectric media are of fundamental importance in many branches of physics. In this Letter we analytically derived the ultimate upper limits for the absorbed and scattered powers by any…

Optics · Physics 2015-06-02 Jean-Paul Hugonin , Mondher Besbes , Philippe Ben-Abdallah

We use a pin-grid electrode to introduce a corrugated electrical potential into a planar dielectric-barrier discharge (DBD) system, so that the amplitude of the applied electric field has the profile of a two-dimensional square lattice. The…

Pattern Formation and Solitons · Physics 2015-06-03 Josiah Sinclair , Matthew Walhout

The electroosmotic transfer (ratio of velocity of liquid to electric current density) and conductivity of disperse system were calculated as functions of volume fraction of disperse particles. The considered model of electric double layer…

Soft Condensed Matter · Physics 2007-05-23 V. N. Shilov , N. I. Zharkikh

We report a Monte Carlo simulation study of the properties of highly asymmetric binary hard sphere mixtures. This system is treated within an effective fluid approximation in which the large particles interact through a depletion potential…

Statistical Mechanics · Physics 2009-11-11 Julio Largo , Nigel B. Wilding

Metal-dielectric multilayer metamaterials with extreme loss-anisotropy, in which the longitudinal component of the permittivity tensor has ultra-large imaginary part, are proposed and designed. Diffraction-free deep subwavelength beam…

Optics · Physics 2015-06-15 Yingran He , Lei Sun , Sailing He , Xiaodong Yang

Intrinsic EDMs in microscopic systems at a level of sensitivity achievable in experiments under way or foreseen are predicted in supersymmetric unified theories. I describe this and other sources of measurable EDMs and I show how these…

High Energy Physics - Phenomenology · Physics 2015-06-25 Andrea Romanino

Formal analogies between gravitational and optical phenomena have been explored for over a century, providing valuable insights into kinematic aspects of general relativity. Here, this analogy is employed to study light propagation in…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Lucas T. de Paula , Caio C. Holanda Ribeiro , Vitorio A. De Lorenci

We develop a dielectric matrix and analyze plasmon dispersion in strongly coupled charged-particle bilayers in the quantum domain. The formulation is based on the classical quasi-localized charge approximation (QLCA) and extends the QLCA…

Other Condensed Matter · Physics 2009-11-10 Kenneth I. Golden , Hania Mahassen , Gabor J. Kalman , Gaetano Senatore , F. Rapisarda

Two methods are explained to exactly solve Maxwell's equations where permittivity, permeability and conductivity may vary in space. In the constitutive relations, retardation is regarded. If the material properties depend but on one…

Optics · Physics 2012-08-20 Ulrich Brosa

Forward models for the Mueller Matrix (MM) components of materials with relative magnetic permeability tensor {\mu} \neq 1 are studied. 4x4 matrix formalism is employed to produce general solutions for the complex reflection coefficients…

Optics · Physics 2015-05-19 P. D. Rogers , T. D. Kang , T. Zhou , M. Kotelyanskii , A. A. Sirenko