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A fundamental challenge in physics is controlling the propagation of waves in disordered media despite strong scattering from inhomogeneities. Spatial light modulators enable one to synthesize (shape) the incident wavefront, optimizing the…

Optics · Physics 2017-02-15 Chia Wei Hsu , Seng Fatt Liew , Arthur Goetschy , Hui Cao , A. Douglas Stone

In some anisotropic bulk media (for example, biaxial weakly absorbing crystals) there are special directions along which the plane wave field distribution has a singular profile of the form $\propto (\mathbf{n} \mathbf{r}) \exp(i q…

Optics · Physics 2025-04-29 K. Yu. Golenitskii , N. S. Averkiev

An asymptotic investigation of monochromatic electromagnetic fields in a layered periodic medium is carried out under the assumption that the wave frequency is close to the frequency of a stationary point of the dispersion surface. We find…

Mathematical Physics · Physics 2016-05-10 Maria V. Perel , Mikhail S. Sidorenko

Topologically protected waves in the linearly polarized Maxwell's equations with gyrotropic, magneto-optic media were studied a decade ago both computationally and experimentally. This paper develops a robust tight-binding model for this…

Optics · Physics 2020-02-19 Mark J. Ablowitz , Justin T. Cole

The time-dependent Maxwell system describing electromagnetic wave propagation in inhomogeneous isotropic media in the one-dimensional case reduces to a Vekua-type equation for bicomplex-valued functions of a hyperbolic variable (see…

Analysis of PDEs · Mathematics 2016-05-23 Kira V. Khmelnytskaya , Vladislav V. Kravchenko , Sergii M. Torba

We develop an effective field-theoretical model for source-driven electromagnetic waves in a geometrically chiral optical medium described by a uniform axial torsion. Starting from the gauge-invariant electromagnetic field strength, we…

Optics · Physics 2026-05-29 Edilberto O. Silva

We derive and interpret solutions of time-harmonic Maxwell's equations with a vertical and a horizontal electric dipole near a planar, thin conducting film, e.g. graphene sheet, lying between two unbounded isotropic and non-magnetic media.…

Classical Physics · Physics 2016-05-04 Dionisios Margetis , Mitchell Luskin

We study two-dimensional wave propagation in materials whose properties vary periodically in one direction only. High order homogenization is carried out to derive a dispersive effective medium approximation. One-dimensional materials with…

Numerical Analysis · Mathematics 2014-09-16 Manuel Quezada de Luna , David I. Ketcheson

This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating half-space in the weak-scattering regime, and the study of boundary effects through an asymptotic analysis of the…

Classical Physics · Physics 2022-12-01 Adel Messaoudi , Regis Cottereau , Christophe Gomez

We analyze the refocusing properties of time reversed waves that propagate in two different media during the forward and backward stages of a time-reversal experiment. We consider two regimes of wave propagation modeled by the paraxial wave…

Disordered Systems and Neural Networks · Physics 2007-05-23 Guillaume Bal , Lenya Ryzhik

A novel statistical approach based on the Wigner transform is proposed for the description of partially incoherent optical wave dynamics in nonlinear media. An evolution equation for the Wigner transform is derived from a nonlinear…

Pattern Formation and Solitons · Physics 2009-11-07 B. Hall , M. Lisak , D. Anderson , R. Fedele , V. E. Semenov

We derive exact strong-contrast expansions for the effective dielectric tensor $\epeff$ of electromagnetic waves propagating in a two-phase composite random medium with isotropic components explicitly in terms of certain integrals over the…

Materials Science · Physics 2009-11-13 Mikael C. Rechtsman , Salvatore Torquato

Aims. The magnetized medium induces birefringence, splitting the light into two distinct wave modes. The differing propagation speeds of the two modes result in different trajectories. Strong gravitational lensing amplifies the…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-09 Xinzhong Er

We explore the propagation and transformation of electromagnetic waves through spatially homogeneous yet smoothly time-dependent media within the framework of classical electrodynamics. By modelling the smooth transition, occurring during a…

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

Pseudo-Hermitian operators appear in the solution of Maxwell's equations for stationary non-dispersive media with arbitrary (space-dependent) permittivity and permeability tensors. We offer an extension of the results in this direction to…

Quantum Physics · Physics 2015-05-18 Ali Mostafazadeh

A new method to find the propagation equation system governing the scattering of an electromagnetic wave by a nonlinear medium is proposed. The aim is to let the effects appear spontaneously, deleting as far as possible the phenomenological…

Optics · Physics 2010-11-08 Pierre Godard , Frederic Zolla , Andre Nicolet

Two key types of inhomogeneous spatially dispersive media are described, both based on a spatially dispersive generalisation of the single resonance model of permittivity. The boundary conditions for two such media with different properties…

Classical Physics · Physics 2013-09-04 Jonathan Gratus , Matthew McCormack

We develop a model based on a multiple scattering theory to describe the diffusion of polarized light in disordered media exhibiting short-range structural correlations. Starting from exact expressions of the average field and the field…

Optics · Physics 2016-10-03 Kevin Vynck , Romain Pierrat , Rémi Carminati

Starting from the wave equation for a medium with material properties that vary periodically, we study a system of recurrence relations that describe propagation of wave packets that oscillate on the microscale (i.e. on lengths of the order…

Mathematical Physics · Physics 2021-01-26 Kirill Cherednichenko