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This is the first of a series of papers devoted to the development of the invariant imbedding theory of mode conversion in inhomogeneous plasmas. A new version of the invariant imbedding theory of wave propagation in inhomogeneous media…

Plasma Physics · Physics 2009-11-11 Kihong Kim , Dong-Hun Lee

Modal expansions are useful to understand wave propagation in an infinite electromagnetic transmission line or waveguide. They can also be used to construct generalized Dirichlet-to-Neumann maps that can be used to provide artificial…

Analysis of PDEs · Mathematics 2023-02-24 Martin Halla , Peter Monk

Using quantum theory, we study the propagation of an optical field in an inhomogeneous dielectric, and apply this scheme to traveling optical fields in a waveguide. We introduce a field-atom interaction Hamiltonian and derive the refractive…

Quantum Physics · Physics 2015-10-26 Akira Kitagawa

The electromagnetic wave propagation in an anisotropic dielectric media with two generic matrices $\epsilon^{ij}$ and $\mu^{ij}$ of permittivity and permeability is studied. These matrices are not required to be symmetric, positive…

Classical Physics · Physics 2013-03-08 Yakov Itin

Nanoscale slot waveguides of hyperbolic metamaterials are proposed and demonstrated for achieving large optical field enhancement. The dependence of the enhanced electric field within the air slot on waveguide mode coupling and permittivity…

Optics · Physics 2015-06-04 Yingran He , Sailing He , Xiaodong Yang

We consider a plane periodical array of parallel cylindrical waveguides with evanescent coupling between them. A new method for calculating the isofrequency curves based on the multiple Mie scattering formalism (MMSF) is developed. This…

Optics · Physics 2013-02-06 M. I. Gozman , Yu. I. Polishchuk , T. V. Habarova , I. Ya Polishchuk

We present a theoretical description of Bernstein modes that arise as a result of the coupling between plasmon-like collective excitations (upper-hybrid mode) and inter-Landau-level excitations, in graphene in a perpendicular magnetic…

Mesoscale and Nanoscale Physics · Physics 2011-05-24 R. Roldan , M. O. Goerbig , J. -N. Fuchs

Using finite difference time domain and band structure computer simulations, we show that it is possible to construct optical cavities and waveguide architectures in hyperuniform disordered photonic solids that are unattainable in photonic…

Mesoscale and Nanoscale Physics · Physics 2013-11-12 Marian Florescu , Salvatore Torquato , Paul Steinhardt

Recent advances in magnonics highlight the need for employing spin wave characteristics as new state variables, which is to be detected and mapped out with high precision in all-onchip, small scale devices. Spin wave modes that are prompted…

Mesoscale and Nanoscale Physics · Physics 2025-04-22 Junming Wu , Dinesh Wagle , Yuzan Xiong , Andrew Christy , Yi Li , Shihao Zhou , James F. Cahoon , Xufeng Zhang , M. Benjamin Jungfleisch , Wei Zhang

Characteristic modes of arbitrary two-dimensional periodic systems are analyzed using scattering parameter data. This approach bypasses the need for periodic integral equations and allows for characteristic modes to be computed from generic…

Applied Physics · Physics 2023-10-11 Kurt Schab , Frederick Chen , Lukas Jelinek , Miloslav Capek , Johan Lundgren , Mats Gustafsson

We investigate the effects of anisotropy on dispersion relations and convergence in relativistic hydrodynamics. In particular, we show that for dispersion relations with a branch point at the origin (such as sound modes), there exists a…

High Energy Physics - Theory · Physics 2026-01-01 Raphael E. Hoult

This letter gives a condition for the existence of the pure TE and TM modes in the metallic waveguide filled with a homogeneous, fully anisotropic and lossless medium. The condition is a relation between the permittivity and permeability…

Classical Physics · Physics 2023-02-13 Wei Jiang , Jie Liu

We investigate the unique properties of various analytical optical modes, including the fundamental modes and the excited modes, in a double-channel waveguide with parity-time (PT) symmetry. Based on these optical modes, the dependence of…

Optics · Physics 2016-10-26 Li Chen , Rujiang Li , Na Yang , Da Chen , Lu Li

We study the mode conversion and resonant absorption phenomena occurring in a slab of a stratified anisotropic medium, optical axes of which are tilted with respect to the direction of inhomogeneity, using the invariant imbedding theory of…

Optics · Physics 2018-02-14 Kihong Kim

Electromagnetic fields in bulk bianisotropic media can be represented using plane waves whose k-vectors can be found using the index of refraction operator method and belong to the Fresnel wave surfaces that fall into one of the 5…

Optics · Physics 2023-02-21 Maxim Durach

The Maxwell equations and the constitutive relations describe the classical propagation of electromagnetic waves in continuous matter. Here, we investigate the effects stemming from extended constitutive relations on the propagation of…

Classical Physics · Physics 2022-10-12 Pedro D. S. Silva , Rodolfo Casana , Manoel M. Ferreira

Confined geometries, such as optical waveguides, support a discrete set of eigen-modes. In multimoded structures, depending on the boundary conditions, superposition states can propagate. Characterization of these states is a fundamental…

Optics · Physics 2012-06-05 R. A. Barankov

We present a new concept of an integrated optics component capable of measuring the complex amplitudes of the modes at the tip of a multimode waveguide. The device uses a photonic lantern to split the optical power carried by an $N$-modes…

Optics · Physics 2023-07-19 Momen Diab , Stefano Minardi

We investigate the scattering of light by a nonlinear, anisotropic slab under conical incidence and arbitrary polarization, within the framework of Maxwell's equations, where the nonlinearities are described by nonlinear susceptibility…

Optics · Physics 2025-12-22 Jérémy Itier , Gilles Renversez , Frédéric Zolla

We theoretically investigate a nanoscale mode-division multiplexing scheme based on parity-time (PT) symmetric coaxial plasmonic waveguides. Coaxial waveguides support paired degenerate modes corresponding to distinct orbital angular…