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Here we re-examine one of the most basic quantities in optics: the refractive index. Considering propagation in a plane, we first develop a general formalism for calculating the direction dependent refractive index in a general…

Optics · Physics 2019-09-05 S. A. R. Horsley , M. Woolley

Waveguide design is crucial in developing efficient light delivery systems, requiring meticulous material selection, precise manufacturing, and rigorous performance optimization, including dispersion engineering. Here, we introduce…

Optics · Physics 2025-06-10 Yuntian Wang , Yuhang Li , Tianyi Gan , Kun Liao , Mona Jarrahi , Aydogan Ozcan

A method to probe the guiding characteristics of waveguides formed in real-time is proposed and evaluated. It is based on the analysis of the time dependent light distribution observed at the exit face of the waveguide while progressively…

Optics · Physics 2007-09-18 M. Chauvet , G. Fu , G. Salamo

A general algorithm for calculating the reflection and refraction of nonuniform plane waves from an arbitrarily oriented and charged planar interface between two lossy isotropic media is proposed based on the decomposition of the complex…

Optics · Physics 2026-02-24 Zhili Lin

The paper is devoted to the study of circularly coiled optical slab waveguides, which is also applicable to acoustical waveguides. We use a change of variables and the classical Frobenius method to compute Bessel functions of complex order…

Computational Physics · Physics 2025-12-16 Jaime Mora-Paz , Leszek Demkowicz , Christina G. Taylor , Jacob Grosek , Stefan Henneking

The accurate calculation of guided electromagnetic modes in optical nanofibres is critical for applications in nanophotonics, from quantum interfaces to vectorial light sensing. Standard textbook methods rely on solving a $4\times4$ matrix…

Optics · Physics 2026-02-17 Sebastian Golat , Francisco J. Rodríguez-Fortuño

Inhomogeneous metasurfaces have shown possibilities for unprecedented control of wave propagation and scattering. While it is conventional to shine a single incident plane wave from one side of these metastructures, illuminating by several…

Applied Physics · Physics 2021-08-04 F. S. Cuesta , G. A. Ptitcyn , M. S. Mirmoosa , S. A. Tretyakov

Inverse design of optical components based on adjoint sensitivity analysis has the potential to address the most challenging photonic engineering problems. However existing inverse design tools based on finite-difference-time-domain (FDTD)…

Optics · Physics 2024-05-20 Dodd Gray , Gavin N. West , Rajeev J. Ram

In this work, we present the design of cycloidal waveguides from a gradient refractive index (GRIN) medium in analogy to the fastest descending problem in classical mechanics. Light rays propagate along cycloids in this medium, of which the…

Optics · Physics 2024-04-04 Xiong Hui , Zijun He , Yangjie Liu

Transformation optics is used to prove that a spherical waveguide filled with an isotropic material with radial refractive index n=1/r has radial polarized modes (i.e. the electric field has only radial component) with the same perfect…

Optics · Physics 2015-05-20 Juan C. Miñano , Pablo Benítez , Juan C. González

Strong intensity attenuation limits the use of conventional diffraction-free optical elements. We show a possible solution to the exponential intensity attenuation limiting the use of Fresnel-type diffraction-free nanometer-scale optics by…

Optics · Physics 2013-01-17 M. I. Mechler , Z. Tibai , S. V. Kukhlevsky

Even though submicron silicon waveguides have been proposed for dense integration of photonic devices, to date the lightwave circuits on the market mainly rely on waveguides with micron-scale core dimensions. These larger waveguides feature…

We present an analytical and numerical investigation of double-slit diffraction under coherent illumination by three plane waves: one normally incident and two symmetrically angled at plus/minus theta. By imposing an edge-zero condition on…

Optics · Physics 2025-12-01 J. Sumaya-Martinez , MA Ortiz-Ferreyro , O. Rojas-Hernandez

We introduce a direct, linear sampling approach to imaging in an acoustic waveguide with sound hard walls. The waveguide terminates at one end and has unknown geometry due to compactly supported wall deformations. The goal of imaging is to…

Analysis of PDEs · Mathematics 2019-06-26 Liliana Borcea , Fioralba Cakoni , Shixu Meng

We present a method for efficient spin wave guiding within the magnonic nanostructures. Our technique is based on the anomalous refraction in the metamaterial flat slab. The gradual change of the material parameters (saturation…

Applied Physics · Physics 2020-05-20 S Mieszczak , O. Busel , P. Gruszecki , A. N. Kuchko , J. W. Kłos , M. Krawczyk

We propose an approach to extracting equivalent circuit models for waveguide-fed, resonant metamaterial elements, such as the complementary, electric inductive-capacitive element (cELC). From the scattering parameters of a single…

Applied Physics · Physics 2025-01-03 David R. Smith , Yeonghoon Noh , Insang Yoo , Divya Pande , Mohammad Ranjbar Nikkhah

We study the light transmission in two-dimensional photonic crystal waveguides with embedded nonlinear defects. First, we derive the effective discrete equations with long-range interaction for describing the waveguide modes, and…

Disordered Systems and Neural Networks · Physics 2009-11-07 Sergei F. Mingaleev , Yuri S. Kivshar

We demonstrate a novel, composite laser written 3D waveguide, fabricated in boro-aluminosilicate glass, with a refractive index contrast of 1.12 x 10^-2. The waveguide is fabricated using a multi-pass approach which leverages the respective…

With their self-tuned time-varying responses, waveform-selective metasurfaces embedded with nonlinear electronics have shown fascinating applications, including distinguishing different electromagnetic waves depending on the pulse width.…

Applied Physics · Physics 2022-11-30 Ashif Aminulloh Fathnan , Haruki Homma , Shinya Sugiura , Hiroki Wakatsuchi

This study presents a finite-difference-based numerical solver designed for the electric field formulation of vector wave equations in optically linear, non-magnetic, dielectric waveguides. We construct a generalized eigenvalue problem by…

Optics · Physics 2026-04-15 Ergun Simsek