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After a brief history of the development of quality factor, useful expressions are derived for the robust input-impedance Qz(w) quality factor that accurately determines the VSWR fractional bandwidth of antennas for isolated resonances and…

Classical Physics · Physics 2026-05-28 Arthur D. Yaghjian

The correct numerical calculation of the resonance characteristics and, principally, the quality factor $Q$ of contemporary photonic and plasmonic resonant systems is of utmost importance, since $Q$ defines the bandwidth and affects…

We investigate analytically the coupling of a coplanar waveguide resonator to a coplanar waveguide feedline. Using a conformal mapping technique we obtain an expression for the characteristic mode impedances and coupling coefficients of an…

Signal Processing · Electrical Eng. & Systems 2018-05-24 Ilya Besedin , Alexey P. Menushenkov

The control of material loss mechanisms is playing an increasingly important role for improving coherence times of superconducting quantum devices. Such material losses can be characterized through the measurement of planar superconducting…

Resonances are common in wave physics and their full and rigorous characterization is crucial to correctly tailor the response of a system in both time and frequency domains. However, they have been conventionally described by the quality…

Optics · Physics 2025-04-09 Isam Ben Soltane , Nicolas Bonod

The definitions and applications of Radial Distribution Function (RDF) and Structure Factor (SF) to study properties of aggregate are found in many papers and books. The approach adopted to calculate the RDF and the SF to determine the…

Disordered Systems and Neural Networks · Physics 2010-08-10 M. Cattani , M. C. Salvadori , F. S. Teixeira

Fractional order (FO) filters have been investigated in this paper, with band-pass (BP) and band-stop (BS) characteristics, which can not be achieved with conventional integer order filters with orders lesser then two. The quality factors…

Systems and Control · Computer Science 2013-01-03 Anindya Pakhira , Saptarshi Das , Anish Acharya , Indranil Pan , Suman Saha

In this paper, the Q-factor expression for periodic arrays over a ground plane is determined in terms of the electric current density within the array's unit cell. The expression accounts for the exact shape of the array element. The…

Classical Physics · Physics 2020-02-19 Andrei Ludvig-Osipov , B. L. G. Jonsson

Mechanical resonances are used in a wide variety of devices; from smart phone accelerometers to computer clocks and from wireless communication filters to atomic force microscope sensors. Frequency stability, a critical performance metric,…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 Swapan K. Roy , Vincent T. K. Sauer , Jocelyn N. Westwood-Bachman , Anandram Venkatasubramanian , Wayne K. Hiebert

Frequency-selective wireless power transfer provides a feasible route to enable independent actuation and control of multiple untethered robots in a common workspace; however, the scalability remains unquantified, particularly the maximum…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Gabriel Cooper , Xiaolong Liu

The trade-off between radiation efficiency and antenna bandwidth, expressed in terms of Q-factor, for small antennas is formulated as a multi-objective optimization problem in current distributions of predefined support. Variants on the…

Applied Physics · Physics 2019-03-07 Mats Gustafsson , Miloslav Capek , Kurt Schab

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

Resonators with a high quality factor (Q) are crucial components in a wide range of advanced technologies, including energy harvesting, chemical and biological sensing, and second-harmonic generation. Many applications also require…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Jeffrey Shi , Benjamin H. November , Stephen Carr , Harris Pirie , Jennifer E. Hoffman

In this paper, a new variant to fractional signal processing is proposed known as the Reduced Order Fractional Fourier Transform. Various properties satisfied by its transformation kernel is derived. The properties associated with the…

Signal Processing · Electrical Eng. & Systems 2018-04-18 Sanjay Kumar

We investigate the dynamics of mechanical resonators subject to excitations comprising of an oscillating or harmonic part, whose amplitude decays exponentially in time. We call these complex frequency excitations and show that the resulting…

Classical Physics · Physics 2025-12-11 Wenbo Li , Skriptyan Syuhri , Pablo Tarazaga , Raj Kumar Pal

Fractional cumulative residual inaccuracy (FCRI) measure allows to determine regions of discrepancy between systems, depending on their respective fractional and chaotic map parameters. Most of the theoretical results and applications…

Applications · Statistics 2025-11-25 Iona Ann Sebastian , S. M. Sunoj

Fractional programming (FP) is a branch of mathematical optimization that deals with the optimization of ratios. It is an invaluable tool for signal processing and machine learning, because many key metrics in these fields are fractionally…

Information Theory · Computer Science 2025-06-03 Kaiming Shen , Wei Yu

In this paper, the bounds on the Q-factor, a quantity inversely proportional to bandwidth, are derived and investigated for narrow-band phased array antennas. Arrays in free space and above a ground plane are considered. The Q-factor bound…

Classical Physics · Physics 2021-09-15 Andrei Ludvig-Osipov , Jari-Matti Hannula , Patricia Naccachian , B. L. G. Jonsson

Molecular dynamics simulations are performed to study graphene-based torsional mechanical resonators. The quality factor is calculated by $Q_{F}=\omega\tau/2\pi$, where the frequency $\omega$ and life time $\tau$ are obtained from the…

Materials Science · Physics 2015-03-19 Jin-Wu Jiang , Jian-Sheng Wang

Applications in quantum information processing and photon detectors are stimulating a race to produce the highest possible quality factor on-chip superconducting microwave resonators. We have tested the surface-dominated loss hypothesis by…

Superconductivity · Physics 2012-06-06 K. Geerlings , S. Shankar , E. Edwards , L. Frunzio , R. J. Schoelkopf , M. H. Devoret
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