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The coupled cavity model for calculation characteristics of inhomogeneous disc-loaded waveguides with taking into account the rounding of the disk hole edges was developed. On the base of this model simulation of section tuning process with…

Accelerator Physics · Physics 2015-11-11 M. I. Ayzatsky , V. V. Mytrochenko

We consider a nonlinear microcavity separating a waveguide channel into two parts so as the coupling between them is possible only due to the resonant properties of the microcavity. We provide a rigorous derivation of the equations used in…

Optics · Physics 2011-09-06 Victor Grigoriev , Fabio Biancalana

We derive a coupled mode theory for the interaction of an optical cavity with a waveguide that includes waveguide dispersion. The theory can be applied to photonic crystal cavity waveguide structures. We derive an analytical solution to the…

Optics · Physics 2009-11-11 Edo Waks , Jelena Vuckovic

A frequency domain model of multimode circular microresonators for filter applications in integrated optics is investigated. Analytical basis modes of 2D bent waveguides or curved interfaces are combined with modes of straight channels in a…

Mathematical Physics · Physics 2007-05-23 K. R. Hiremath , R. Stoffer , M. Hammer

We developed the general approach that gives possibility to calculate the coupling coefficients for arbitrary chain of resonators without using the great number of eigen functions. For understanding this method and having possibility to…

Classical Physics · Physics 2016-09-13 M. I. Ayzatsky , V. V. Mytrochenko

This paper presents the results of studies in elaboration of a mathematical model of the cavity-chain slow wave structures. Considered is the problem of coupling of an infinitely long cylindrical cavity chain coupled through centerholes in…

acc-phys · Physics 2008-02-03 M. I. Ayzatsky

Coupled-mode theory (CMT) is a powerful tool for simulating near-harmonic systems. In telecommunications, variations of the theory have been used extensively to study waveguides, both analytically and through numerical modelling. Analogous…

Instrumentation and Methods for Astrophysics · Physics 2024-12-11 Jonathan Lin

The fields in rectangular and circular waveguides are derived from Maxwell's equations by superposition of plane waves. Subsequently the results are applied to explain cavity modes. Interaction of the cavity modes with a charged particle…

Accelerator Physics · Physics 2012-01-17 E. Jensen

Light propagation in systems of optical cavities coupled to waveguides can be conveniently described by a general rate equation model known as (temporal) coupled mode theory (CMT). We present an alternative derivation of the CMT for optical…

Efficient coupling between on-chip sources and cavities plays a key role in silicon photonics. However, despite the importance of this basic functionality, there are few systematic design tools to simultaneously control coupling between…

The coupling between negative and positive index medium waveguides is investigated theoretically in this paper. A coupled mode theory is developed for such a waveguide system and its validity is verified. Interesting phenomena in the…

Optics · Physics 2009-11-13 Wei Yan , Linfang Shen , Yu Yuan , Tzong Jer Yang

In this work a new generalization of the theory of coupled modes for non-periodic structured waveguide is presented. Based on a set of eigen waves of a homogeneous periodic waveguide, a new basis of vector functions is introduced that takes…

Accelerator Physics · Physics 2023-09-13 M. I. Ayzatsky

Coupled cavities are of interest as they expose qualitatively new effects, such as non-Hermitian properties, that are beyond the possibilitie of individual cavities. Here, we investigate the coupling between two dielectric two-dimensional…

Optics · Physics 2023-12-19 Tom Simon Rodemund , Síle Nic Chormaic , Martina Hentschel

We propose a method for numerical calculation of driving and detuning transverse beam coupling impedances of an asymmetric cavity. The method relies on eigenmode simulations and can be viewed as an alternative to time domain wakefield…

Accelerator Physics · Physics 2019-12-25 S. Arsenyev , B. Salvant

We present a method to determine the complex coupling parameter of a two-coupled-modes system by directly measuring the coupled eigenmodes rather than their eigenvalues. This method is useful because mode-mixing can be observed even if…

Optics · Physics 2022-01-19 C. Koks , M. P. van Exter

One of the key technologies in recent quantum devices is the tunable coupling among quantum elements such as qubits, cavities, and waveguides. In this work, we propose a cavity-waveguide tunable coupler with an excellent on-off ratio, which…

Quantum Physics · Physics 2024-09-24 Kazuki Koshino

We design coupled optical microcavities and report directional light emission from high-$Q$ modes for a broad range of refractive indices. The system consists of a circular cavity that provides a high-$Q$ mode in form of a whispering…

Optics · Physics 2016-04-13 Jung-Wan Ryu , Martina Hentschel

Waves scattered at a self-oscillating mode can exhibit superradiance, or net amplification of an external harmonic excitation. This exotic behavior, arising from the nonlinear coupling between the mode and the incident wave, is…

Dynamical Systems · Mathematics 2023-03-22 Tiemo Pedergnana , Nicolas Noiray

Photonic crystal (PC) coupled cavity waveguides (CCWs) with \textit{completely separated eigenfrequencies} (or supermodes) are investigated. Using a coupled mode theory, the properties of the supermodes, such as the electric field profiles,…

Optics · Physics 2009-11-11 Weiqiang Ding , Lixue Chen , Shutian Liu

We develop a coordinate invariant formalism which describes the mechanical and electromagnetic interaction of gravitational waves (GWs) with a wide class of resonant detectors. We solve the GW-modified equations of electrodynamics and…

General Relativity and Quantum Cosmology · Physics 2026-03-02 Jordan Gué , Tom Krokotsch , Gudrid Moortgat-Pick
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