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This work investigates the propagation of electromagnetic waves in waveguides within static curved spacetimes. We develop a covariant formalism using Hertzian potentials to describe guided electromagnetic modes in spacetimes with metrics…

General Relativity and Quantum Cosmology · Physics 2024-07-03 Javier Blanco-Romero

We analyze planar electromagnetic waves confined by a slab waveguide formed by two perfect electrical conductors. Remarkably, 2D Maxwell equations describing transverse electromagnetic modes in such waveguides are exactly mapped onto…

Classical Physics · Physics 2020-07-22 Daniel Leykam , Konstantin Y. Bliokh , Franco Nori

The hybrid plasmonic waveguide consists of a high-permittivity dielectric nanofiber embedded in a low-permittivity dielectric near a metal surface. This architecture is considered as one of the most perspective candidates for long-range…

Optics · Physics 2015-06-12 S. A. Belan , S. S. Vergeles , P. E. Vorobev

Five methods of calculating electrical field distributions in one dimensional wave-guide arrays are reviewed. We analytically solve the scalar Helmholtz Equation and, based on the computed Bloch functions and associated bands of propagation…

Optics · Physics 2014-03-24 Uri Levy , Yaron Silberberg

We introduce continuous supersymmetric transformations to manipulate the modal content in systems of optical waveguides, providing a systematic method to design efficient and robust integrated devices such as tapered waveguides,…

Optics · Physics 2019-01-31 G. Queraltó , V. Ahufinger , J. Mompart

The study of metallic corrugated surfaces has recently received strong attention due to their ability to mimic the behaviour of surface plasmons. In this work, this plasmon-like behaviour is employed to design an open cylindrical waveguide.…

Edge modes of a finite-size woodpile can appear within a complete bandgap on an <010> edge. The mode area is as small as 0.066 squared half-in-vacuum-wavelengths, and the propagation loss is small. The field maxima occur at a…

Optics · Physics 2015-06-05 Shu-Yu Su , Tomoyuki Yoshie

We theoretically study Dyakonov surface waveguide modes that propagate along the planar strip interfacial waveguide between two uniaxial dielectrics. We demonstrate that due to the one-dimensional electromagnetic confinement, Dyakonov…

Optics · Physics 2020-09-28 D. A. Chermoshentsev , E. V. Anikin , S. A. Dyakov , N. A. Gippius

In this paper, we prove the existence of a bound state in a waveguide that consists of two semi-infinite periodic structures separated by an interface. The two periodic structures are perturbed from the same periodic medium with a Dirac…

Mathematical Physics · Physics 2023-04-24 Jiayu Qiu , Junshan Lin , Peng Xie , Hai Zhang

Motivated by the study and simulation of long, coiled optical fibers we consider in this article a simplified model that is prevalent in the engineering community. Mathematically, the problem is specified as follows: Time-harmonic wave…

Analysis of PDEs · Mathematics 2026-03-17 Leszek Demkowicz , Martin Halla , Jens Markus Melenk

Waveguides are critically important components in microwave, THz, and optical technologies. Due to recent progress in two-dimensional materials, metasurfaces can be efficiently used to design novel waveguide structures which confine the…

Applied Physics · Physics 2019-11-15 X. Ma , M. S. Mirmoosa , S. A. Tretyakov

When an optical pulse is focused into a multimode waveguide or fiber, the energy is divided among the available guided modes. Consequently, the initially localized intensity spreads transversely, the spatial profile undergoes rapid…

Optics · Physics 2023-06-07 Abbas Shiri , Kenneth L. Schepler , Ayman F. Abouraddy

Bound states in the continuum (BICs) are trapped or guided modes with frequencies in radiation continua. They are associated with high-quality-factor resonances that give rise to strong local field enhancement and rapid variations in…

Optics · Physics 2021-05-26 Lijun Yuan , Ya Yan Lu

Here, extending our previous work on this topic, we derive a dynamic closed-form dispersion relation for a rigorous analysis of guided wave propagation along coupled parallel linear arrays of plasmonic nanoparticles, operating as optical…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Andrea Alu , Pavel A. Belov , Nader Engheta

As the formation of spatial optical solitons in photorefractive media is governed by modification of the refractive index every single solitons in complex configurations of solitons can act as a single waveguide for other light beams. In…

Pattern Formation and Solitons · Physics 2007-05-23 Denis Traeger , Nina Sagemerten , Cornelia Denz

We present a new numerical scheme to solve the Helmholtz equation in a wave-guide. We consider a medium that is bounded in the $x_2$-direction, unbounded in the $x_1$-direction and $\varepsilon$-periodic for large $|x_1|$, allowing…

Numerical Analysis · Mathematics 2017-08-23 Tomáš Dohnal , Ben Schweizer

In this work, we propose an approach for the design of a waveguide structure that allows for efficient and highly asymmetric coupling of the quantum sources with circularly polarized transition dipole moments to the guided mode of the…

Optics · Physics 2021-12-22 Ilya. A. Volkov , Roman S. Savelev

We perform phase-sensitive near-field scanning optical microscopy on photonic-crystal waveguides. The observed intricate field patterns are analyzed by spatial Fourier transformations, revealing several guided TE- and TM-like modes. Using…

Solitary waves bifurcated from edges of Bloch bands in two-dimensional periodic media are determined both analytically and numerically in the context of a two-dimensional nonlinear Schr\"odinger equation with a periodic potential. Using…

Pattern Formation and Solitons · Physics 2009-11-13 Zuoqiang Shi , Jianke Yang

A novel type of a plasmonic waveguide has been proposed featuring an "open" design that is easy to manufacture, simple to excite and that offers a convenient access to a plasmonic mode. Optical properties of photonic bandgap (PBG) plasmonic…

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