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The microwave cavity perturbation method is often used to determine material parameters (electric permittivity and magnetic permeability) at high frequencies and it relies on measurement of the resonator parameters. We present a method to…

Applied Physics · Physics 2018-12-03 B. Gyüre-Garami , O. Sági , B. G. Márkus , F. Simon

Propagation losses in micro-ring resonator waveguides can be determined from the shape of individual resonances in their transmission spectrum. The losses are typically extracted by fitting these resonances to an idealized model that is…

Optics · Physics 2017-05-02 Orad Reshef , Michael G. Moebius , Eric Mazur

Recent developments in thin-film fabrication and processing open up interesting possibilities for both established and emerging optics technologies. There, one of the key questions requiring more complete understanding is by how much one…

Optics · Physics 2025-01-03 Pyry Kivisaari , Mikko Partanen , Jani Oksanen

Multi-layered structures are widely used in the construction of metamaterial devices to realize various cutting-edge waveguide applications. This paper makes several contributions to the mathematical analysis of subwavelength resonances in…

Analysis of PDEs · Mathematics 2025-04-09 Youjun Deng , Lingzheng Kong , Yongjian Liu , Liyan Zhu

We propose a simple formula for multichannel resonant scattering with parameters related to physical resonant properties. It can be used to predict residue phase from other resonant parameters and describe the shape of scattering amplitudes…

High Energy Physics - Phenomenology · Physics 2017-02-03 Saša Ceci , Marin Vukšić , Branimir Zauner

Open dielectric resonators of different shapes are widely used for the manufacture of microlasers. A precise determination of their resonance frequencies and widths is crucial for their design. Most microlasers have a flat cylindrical…

Optics · Physics 2009-08-31 S. Bittner , B. Dietz , M. Miski-Oglu , P. Oria Iriarte , A. Richter , F. Schäfer

Resonant cavities are one of the basic building blocks in various disciplines of science and technology, with numerous applications ranging from abstract theoretical modeling to everyday life devices. The eigenfrequencies of conventional…

Optics · Physics 2016-04-27 Iñigo Liberal , Ahmed M. Mahmoud , Nader Engheta

Scattering by (a) a single composite scatterer consisting of a concentric arrangement of an outer N-slit rigid cylinder and an inner cylinder which is either rigid or in the form of a thin elastic shell and (b) by a finite periodic array of…

Mathematical Physics · Physics 2011-03-11 Anton Krynkin , Olga Umnova , Alvin Y. B. Chong , Shahram Taherzadeh , Keith Attenborough

In this paper, we present a mathematical study of wave scattering by a hard elastic obstacle embedded in a soft elastic body in three dimensions. Our contributions are threefold. First, we characterize subwavelength resonances using the…

Analysis of PDEs · Mathematics 2025-01-14 Bochao Chen , Yixian Gao , Peijun Li , Yuanchun Ren

We report on the theoretical and experimental investigations of optical microcavities consisting in the plane-plane arrangement of a broadband high-reflectivity mirror and a suspended one-dimensional grating mirror possessing a high-quality…

Electromagnetic wave scattering by many parallel to $z-$axis, thin, impedance, circular infinite cylinders is studied asymptotically as $a\to 0$. Let $D_m$ be the crossection of the $m-$th cylinder, $a$ be its radius, and…

Mathematical Physics · Physics 2012-09-03 A. G. Ramm

We show that two-photon transport can be modulated by a two-level emitter coupled to a cavity in a one-dimensional waveguide. In the ordinary case, the transmitted light has a wider frequency spectrum than the situation without the cavity…

Quantum Physics · Physics 2015-05-28 Zhongling Ji , Shaoyan Gao

We present a model for how frequency fluctuations comparable to the total cavity linewidth may arise in tunable and nonlinear microwave cavities, and how these fluctuations affect the measurement of scattering matrix elements. Applying this…

Mesoscale and Nanoscale Physics · Physics 2020-11-13 B. L. Brock , M. P. Blencowe , A. J. Rimberg

In this paper, a regression-based machine learning model is used for the design of cavity backed slotted antenna. This type of antenna is commonly used in military and aviation communication systems. Initial reflection coefficient data of…

Machine Learning · Computer Science 2025-02-27 Vijay Kumar Sutrakar , Anjana PK , Rohit Bisariya , Soumya KK , Gopal Chawan M

In this paper, a linear model based on multiple measurement vectors model is proposed to formulate the inverse scattering problem of highly conductive objects at one single frequency. Considering the induced currents which are mostly…

Signal Processing · Electrical Eng. & Systems 2019-06-27 Shilong Sun , Bert Jan Kooij , Alexander G. Yarovoy

We consider the propagation of acoustic waves in a 2D waveguide unbounded in one direction and containing a compact obstacle. The wavenumber is fixed so that only one mode can propagate. The goal of this work is to propose a method to cloak…

Analysis of PDEs · Mathematics 2022-04-27 Lucas Chesnel , Jérémy Heleine , Sergei A. Nazarov

Efficient micro-resonators simultaneously require a large quality factor $Q$ and a small volume $V$. However, the former is ultimately limited by bending losses, the unavoidable radiation of energy of a wave upon changing direction of…

Optics · Physics 2019-08-07 Nirmalendu Acharyya , Gregory Kozyreff

Resonator measurements are a simple but powerful tool to characterize a material's microwave response. The losses of a resonant mode are quantified by its internal quality factor $Q_\mathrm{i}$, which can be extracted from the scattering…

Quantum Physics · Physics 2023-07-31 D. Rieger , S. Günzler , M. Spiecker , A. Nambisan , W. Wernsdorfer , I. M. Pop

Real-time characterization of microresonator dynamics is important for many applications. In particular it is critical for near-field sensing and understanding light-matter interactions. Here, we report camera-facilitated imaging and…

This work analyzes the scattering resonances of general acoustic media in a one-dimensional setting using the propagation matrix approach. Specifically, we characterize the resonant frequencies as the zeros of an explicit trigonometric…

Analysis of PDEs · Mathematics 2025-12-02 Yi Huang , Bowen Li , Ping Liu , Yingjie Shao