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This article presents an ultraweak discontinuous Petrov-Galerkin (DPG) formulation of the time-harmonic Maxwell equations for the vectorial envelope of the electromagnetic field in a weakly-guiding multi-mode fiber waveguide. This…

Numerical Analysis · Mathematics 2024-11-15 Stefan Henneking , Jacob Grosek , Leszek Demkowicz

This paper studies guided transverse scalar modes propagating through helically coiled waveguides. Modeling the modes as solutions of the Helmholtz equation within the three-dimensional (3D) waveguide geometry, a propagation ansatz…

Optics · Physics 2025-09-19 Jay Gopalakrishnan , Michael Neunteufel

We provide a solution toward compact and low-loss three dimensional (3D) photonic circuits by femtosecond laser direct writing of 3D waveguides in fused silica. We suppress the bend loss by sandwiching the waveguide between a pair of walls…

Applied Physics · Physics 2018-02-13 Zhengming Liu , Yang Liao , Zhiwei Fang , Wei Chu , Ya Cheng

A numerical technique is described that can efficiently compute solutions in interface problems. These are problems with data, such as the coefficients of differential equations, discontinuous or even singular across one or more interfaces.…

Computational Physics · Physics 2015-05-27 Theodoros P. Horikis

An efficient electro-optical modulation has been demonstrated here by using an edge plasmon mode specific for the hybrid plasmonic waveguide. Our approach addresses a major obstacle of the integrated microwave photonics caused by the…

We report on the investigation of an approach for modelling light transmission through systems consisting of several jointed optical fibres, in which the analytical modelling of the waveguides was replaced by Finite Element Modelling (FEM)…

Applied Physics · Physics 2018-07-31 Natascia Castagna , Jacques Morel , Luc Testa , Sven Burger

A numerical study of the radiation in coupled bent waveguides is presented. Such arrangements of curved waveguides in reduced radiation-loss configurations can be used to enhance the quality factor of integrated micro-resonators. 3D full…

Optics · Physics 2019-06-26 Pedro Chamorro-Posada

Mode-division multiplexing (MDM) is an emerging large-capacity data communication technology utilizing orthogonal guiding modes as independent data streams. One of the challenges of multimode waveguide routing in MDM systems is decreasing…

Optics · Physics 2019-06-12 S. Hadi Badri , H. Rasooli Saghai , Hadi Soofi

A widespread, intuitive and computationally inexpensive method to analyze light guidance through waveguide bends is by introducing an equivalent straight waveguide with refractive index profile modified to account for actual waveguide bend.…

Optics · Physics 2007-05-23 Dzmitry M. Shyroki

In this paper we study the problem of wave propagation in a 3-D optical fiber. The goal is to obtain a solution for the time-harmonic field caused by a source in a cylindrically symmetric waveguide. The geometry of the problem,…

Numerical Analysis · Mathematics 2025-10-20 Oleg Alexandrov , Giulio Ciraolo

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

Micro-bending is a well-known source of loss in optical waveguides. By treating the micro-bending as a stochastic process, the problem of loss mitigation can be modeled in terms of a Fokker-Planck equation. Given an initial refractive index…

Optics · Physics 2022-01-19 Stuart Ward , Rouzbeh Allahverdi , Arash Mafi

In this paper, a general methodology to study rigorously discontinuities in open waveguides is presented. It relies on a full vector description given by Maxwell's equations in the framework of the finite element method. The discontinuities…

Computational Physics · Physics 2020-06-24 Guillaume Demésy , Gilles Renversez

This paper is concerned with the mathematical analysis of the time-domain electromagnetic scattering problem in an infinite rectangular waveguide. A transparent boundary condition is developed to reformulate the problem into an equivalent…

Analysis of PDEs · Mathematics 2021-09-23 Yanli Chen , Peijun Li , Xu Wang

Multimode waveguide crossings are crucial components for novel mode-division-multiplexing systems. One of the challenges of multimode waveguide routing in MDM systems is decreasing the inter-mode crosstalk and mode leakage of waveguide…

Optics · Physics 2019-06-19 S. Hadi Badri , H. Rasooli Saghai , Hadi Soofi

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

Nowadays the geometric approach in optics is often used to find out media parameters based on propagation paths of the rays because in this case it is a direct problem. However inverse problem in the framework of geometrical optics is…

We present a new technique for the design of transformation-optics devices based on large-scale optimization to achieve the optimal effective isotropic dielectric materials within prescribed index bounds, which is computationally cheap…

Optics · Physics 2013-06-11 David Liu , Lucas H. Gabrielli , Michal Lipson , Steven G. Johnson

We present a deep learning approach using an optical neural network to predict the fundamental modal indices $n_{\rm{eff}}$ in a silicon (Si) channel waveguide. We use three inputs, e.g., two geometric parameters and one material property,…

Optics · Physics 2020-08-04 Nusrat Jahan Anika , Md Borhan Mia

High-frequency wave propagation has many important applications in acoustics, elastodynamics, and electromagnetics. Unfortunately, the finite element discretization for these problems suffers from significant numerical pollution errors that…

Numerical Analysis · Mathematics 2020-10-15 Stefan Henneking , Leszek Demkowicz
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