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We study long-lived resonances (lowest-loss modes) in hexagonally shaped dielectric resonators in order to gain insight into the physics of a class of microcrystal lasers. Numerical results on resonance positions and lifetimes, near-field…

Optics · Physics 2009-11-07 Jan Wiersig

The ability to approach a physical phenomenon and grasp its major importance is a remarkable quality of understanding. This paper presents a rather elegant and novel way of looking at the resonance phenomenon, which among others shares a…

Classical Physics · Physics 2022-08-29 Adel Alameh

Optical resonators are structures that utilize wave interference and feedback to confine light in all three dimensions. Depending on the feedback mechanism, resonators can support either standing- or traveling-wave modes. Over the years,…

Optics · Physics 2022-08-30 Qi Zhong , Haoqi Zhao , Liang Feng , Kurt Busch , Sahin K. Ozdemir , Ramy El-Ganainy

The resonance phenomenon is of central importance in many areas of physics, with particular significance in the study of nuclear structure and reactions. Starting from the classical framework of damped driven oscillations, this text…

Nuclear Theory · Physics 2026-05-06 Sebastian König , Kévin Fossez , Rimantas Lazauskas

Open subwavelength cylindrical resonators of finite height are widely used in various photonics applications. Circular cylindrical resonators are particularly important in nanophotonics, since they are relatively easy to fabricate and can…

Optics · Physics 2019-07-24 Hualiang Shi , Ya Yan Lu

The aim of this review is to cover recent developments in the mathematical analysis of subwavelength resonators. The use of sophisticated mathematics in the field of metamaterials is reported, which provides a mathematical framework for…

Analysis of PDEs · Mathematics 2020-11-10 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen , Hyundae Lee , Sanghyeon Yu

A theoretical model based on the transverse resonance method is proposed for the description of cylindrical multilayer dielectric resonator sensors. From this model, the resonant frequency and the sensitivities with respect to geometrical…

Computational Physics · Physics 2007-05-23 R. Barrere , P. Boughedaoui , M. Valentin

In order to describe natural phenomena, science develops sophisticated models that use mathematical and formal languages which seem, and often are, very far from common experience. When a phenomenon is not accessible to our senses, its…

Physics Education · Physics 2016-01-08 Vera Montalbano

This paper focus on the theoretical analysis and simulation of electromagnetic wave transforms, which is widely encountered in teaching physics. When the electromagnetic wave is not consistent with the shape of the object, it is often…

Classical Physics · Physics 2022-12-06 Yinpeng Wang

If an object is very small in size compared with the wavelength of light, it does not scatter light efficiently. It is hence difficult to detect a very small object with light. We show using analytic theory as well as full wave numerical…

Optics · Physics 2015-10-20 Meng Xiao , Xueqin Huang , H. Liu , C. T. Chan

Dielectric cylindrical waveguides are widely used for confining and guiding of electromagnetic waves in relatively wide range of frequencies. They have found numerous technological and scientific applications in telecommunications,…

Optics · Physics 2026-04-27 A. A. Saharian , L. Sh. Grigoryan , H. F. Khachatryan

The mode volume is a very important figure of merits, which transversally arouse the physics and applications of electromagnetic cavities. Its modern definition was not obtained simply, and I try to briefly summarize the evolution of ideas.…

Optics · Physics 2020-11-20 Philippe Lalanne

The dynamic behavior of the cylindrical shell can be predicted by more simplified beam models for a wide range of applications. The present paper deals with finding design conditions in which the cylindrical shell performs like a beam.

Classical Physics · Physics 2020-04-22 M. Khademi-kouhi , M. Shakouri

A pedagogical review of the past 50 years of study of resonances, leading to our understanding of the quark content of baryons and mesons. The level of this review is intended for undergraduates or first-year graduate students. Topics…

High Energy Physics - Phenomenology · Physics 2015-05-13 J. T. Londergan

See http://www.youtube.com/watch?v=izbGXdjvK_I for a YouTube video showing part of the results in this paper.We will consider surfaces whose mean curvature at a point is a linear function of the square of the distance from that point to the…

Differential Geometry · Mathematics 2014-04-14 Bennett Palmer , Oscar Perdomo

Exact solutions are given for the Maxwell equations driven by a gyrating ultrarelativistic electron inside a reflecting cylindrical boundary. The axis of the electrons's trajectory and the axis of the surrounding cylinder are supposed to…

Accelerator Physics · Physics 2011-02-01 Sandor Varro

A review is given for cyclotron resonant interactions in space plasmas. After giving a simple formulation for the test particle approach, illustrative examples for resonant interactions are given. It is shown that for obliquely propagating…

High Energy Astrophysical Phenomena · Physics 2012-11-14 T. Terasawa , S. Matsukiyo

Concave mirrors are fundamental optical elements, yet some easily observed behaviors are rarely addressed in standard textbooks, such as the formation of multiple reflected images. Here we investigate self-imaging -- where the observer is…

Optics · Physics 2025-12-30 Thach A. Nguyen , Kaitlyn S. Yasumura , Duy V. Tran , Trung V. Phan

In this paper we demonstrate how asymmetric molecular rotational spectra may be introduced to students both "pictorially" and with simple formulae. It is shown that the interpretation of such spectra relies heavily upon pattern recognition.…

Physics Education · Physics 2012-04-17 S. A. Cooke , P. Ohring

Dielectric optical micro-resonators and micro-lasers represent a realization of a wave-chaotic system, where the lack of symmetry in the resonator shape leads to non-integrable ray dynamics. Modes of such resonators display a rich spatial…

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