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Reformulation of the generalized electromagnetic fields of dyons has been dicussed in inhomogenous media and corresponding quaternionic equations are derived in compact, simple and unique manner. We have also discussed the monochromatic…

High Energy Physics - Theory · Physics 2007-06-05 P. S. Bisht , O. P. S. Negi , Jivan Singh

We present an effective medium description of time-modulated dielectric media. By taking the averaged fields over one modulation period, the relationship between them is derived, defining therefore the different constitutive parameters. In…

Optics · Physics 2021-01-04 Dani Torrent

The time dependent Dirac-Maxwell's Equations in presence of electric and magnetic sources are written in chiral media and the solutions for the classical problem are obtained in unique simple and consistent manner. The quaternion…

High Energy Physics - Theory · Physics 2009-11-13 P. S. Bisht , Jivan Singh , O. P. S. Negi

We analyze the propagation of electromagnetic waves in media where the dielectric constants undergo rapid temporal periodic modulation. Both spatially homogeneous and periodic media are studied. Fast periodic temporal modulation of the…

In this work, we develop a potential-based formalism for Maxwell's equations in isotropic media with weak spatial dispersion within the electric quadrupole-magnetic dipole approximation. We introduce an operator form of the constitutive…

Other Condensed Matter · Physics 2025-10-28 Yury Solyaev

Potential-based formulation with generalized Lorenz gauge can be used in the quantization of electromagnetic fields in inhomogeneous media. However, one often faces the redundancy of modes when finding eigenmodes from potential-based…

Optics · Physics 2023-01-10 Jie Zhu , Thomas E. Roth , Dong-Yeop Na , Weng Cho Chew

The propagation of electromagnetic waves trapped within dielectric and magnetic layers is considered. The description within the three-dimensional theory is compared with the simplified analysis in two dimensions. Two distinct media…

Classical Physics · Physics 2018-05-23 Tomasz Radozycki , Piotr Bargiela

In this paper, we extend Plebanski's mapping to encode the Einstein equations in ADM form within a bianisotropic electromagnetic medium. We realise this by translating the ADM constraints and evolution equations into dynamical conditions on…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Eren Erberk Erkul , Ulf Leonhardt

In this paper it is found that the spin four-tensor $S^{ab}$ can be decomposed into two 4-vectors, the usual ``space-space'' intrinsic angular momentum $S^{a}$ and a new one, the ``time-space'' intrinsic angular momentum $Z^{a}$, which are…

General Physics · Physics 2007-09-25 Tomislav Ivezic

In this paper, we present a new approach for the exact calculation of band structure in one-dimensional periodic media, such as photonic crystals and superlattices, based on the recently reported differential transfer matrix method (DTMM).…

Mathematical Physics · Physics 2009-11-10 Sina Khorasani , Ali Adibi

We derive one- and two-dimensional models for classical electromagnetism by making use of Hadamard's method of descent. Low-dimensional electromagnetism is conceived as a specialization of the higher dimensional one, in which the fields are…

Classical Physics · Physics 2022-02-17 Rocco Maggi , Elisa Ercolessi , Paolo Facchi , Giuseppe Marmo , Saverio Pascazio , Francesco V. Pepe

The transmission matrix (TM) is a representation to describe the light scattering process through a scattering medium. The degree of control elements in TM is correlated with the capacity of evaluating enormous equations with tremendous…

Optics · Physics 2020-11-25 Shu Guo , Hao Zhang , Wenxue Li , Lin Pang

The modes of nonlinear propagation of the two-component electromagnetic pulses through optically uniaxial media containing resonant particles are studied. The features of their manifestation in the "dense" media and in the media with…

Pattern Formation and Solitons · Physics 2015-06-26 S. V. Sazonov , N. V. Ustinov

Nonlinear electrodynamics, QED included, is considered against the Lorentz-noninvariant external field background, treated as an anisotropic medium. Hamiltonian formalism is applied to electromagnetic excitations over the background, and…

High Energy Physics - Theory · Physics 2013-01-14 Selym Villalba-Chavez , Anatoly E. Shabad

In this paper a formulation of the field equation for moving media is developed by the generalization of an axiomatic geometric formulation of the electromagnetism in vacuum (Ivezi\'{c} T 2005 Found. Phys. Lett. 18 401. First, the field…

General Physics · Physics 2017-06-06 Tomislav Ivezic

We present a theoretical study of multi-mode scattering of light by optically random media, using the Mueller-Stokes formalism which permits to encode all the polarization properties of the scattering medium in a real $4 \times 4$ matrix.…

Quantum Physics · Physics 2009-11-10 A. Aiello , J. P. Woerdman

The study of the scattering of electromagnetic waves by a linear isotropic medium with planar symmetry can be reduced to that of their TE and TM modes. For situations where the medium consists of parallel homogeneous slabs, one may use the…

Quantum Physics · Physics 2025-03-25 Farhang Loran , Ali Mostafazadeh

We derive the invariant imbedding equations for plane electromagnetic waves propagating in stratified magnetic media, where both dielectric and magnetic permeabilities vary in one spatial direction in an arbitrary manner. These equations…

Condensed Matter · Physics 2007-05-23 Kihong Kim , H. Lim , Dong-Hun Lee

Disordered stealthy hyperuniform dielectric composites exhibit novel electromagnetic wave transport properties in two and three dimensions. Here, we carry out the first study of the electromagnetic properties of one-dimensional (1D)…

Optics · Physics 2023-08-01 Jaeuk Kim , Salvatore Torquato

The dispersion relations for conventional uniaxial dielectric mediums may be characterized as elliptical or elliptical-like, according to whether the medium is nondissipative or dissipative, respectively. However, under certain constitutive…

Optics · Physics 2007-05-23 Tom G. Mackay , Akhlesh Lakhtakia , Ricardo A. Depine