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The Q-factor for lossless three-dimensional structures with two-dimensional periodicity is here derived in terms of the electric current density. The derivation in itself is shape-independent and based on the periodic free-space Green's…

Classical Physics · Physics 2020-12-02 Andrei Ludvig-Osipov , B. L. G. Jonsson

Stored energy and Q-factors are used to quantify the performance of small antennas. Accurate and efficient evaluation of the stored energy is also essential for current optimization and the associated physical bounds. Here, it is shown that…

Optics · Physics 2014-12-30 Mats Gustafsson , Doruk Tayli , Marius Cismasu

It is required to calculate the stored reactive energy of an antenna in order to evaluate its Q factor. Although it has been investigated for a long time, some issues still need further clarifying. The main difficulty involved is that the…

Classical Physics · Physics 2020-06-29 Gaobiao Xiao

This paper discusses the methods for evaluating the stored electromagnetic energies and the radiation Q for an arbitrary lossless antenna. New expressions for the stored electromagnetic energies are derived by using the Poynting theorem in…

Classical Physics · Physics 2015-06-19 Wen Geyi

This paper describes an analytical evaluation of the quality factor Qz in a separable system in which the vector potential is known. The proposed method uses a potential definition of active and reactive power, implicitly avoiding infinite…

Classical Physics · Physics 2015-09-11 L. Jelinek , M. Capek , P. Hazdra , J. Eichler

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

Electric and magnetic current densities are an essential part of electromagnetic theory. The goal of the present paper is to define and investigate stored energies that are valid for structures that can support both electric and magnetic…

Classical Physics · Physics 2016-06-21 B. L. G. Jonsson , Mats Gustafsson

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…

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

The electromagnetic scattering resonances of a non-magnetic object much smaller than the incident wavelength in vacuum can be either described by the electroquasistatic approximation of the Maxwell's equations if its permittivity is…

Mesoscale and Nanoscale Physics · Physics 2020-11-11 Carlo Forestiere , Giovanni Miano , Guglielmo Rubinacci

A radio antenna is primarily designed to convert electromagnetic waves into electrical current and vice versa. However, a part of the incident wavefield is scattered due to structural effects andreflection at the antenna's electrical port.…

Applied Physics · Physics 2026-05-21 Julien de Rosny , Youssef Rammal , Ismaïl Ahmed Bouha , François Sarrazin

This article proposes an estimate of multiport antenna bandwidth based on a generalization of a single-port Q-factor. The explicit derivation is based on converting the stored energy matrix to its port equivalent and on the port parameters…

Signal Processing · Electrical Eng. & Systems 2026-05-14 Vojtech Neuman , Miloslav Capek , Lukas Jelinek

Practical design parameters of resonant metamaterials, such as loss tangent, are derived in terms of the quality factor $Q$ of the resonant effective medium permeability or permittivity. Through electromagnetic simulations of loop-based…

Optics · Physics 2015-06-26 Steven A. Cummer , Bogdan-Ioan Popa , Thomas H. Hand

Mechanical resonators made with monolithic piezoelectric quartz crystals are promising for studying new physical phenomena. High mechanical quality factors ($Q$) exhibited by the mm-sized quartz resonators make them ideal for studying weak…

Applied Physics · Physics 2018-06-21 Alpo Valimaa , Jorge Santos , Caspar Ockeloen-Korppi , Mika Sillanpaa

The problem of finding the optimal current distribution supported by small radiators yielding the minimum quality (Q) factor is a fundamental problem in electromagnetism. Q factor bounds constrain the maximum operational bandwidth of…

On-chip inductor design plays a critical role in the advancement of radio-frequency integrated circuits (RFICs). Inductors typically occupy a substantial portion of the chip area as their performance metrics, namely, inductance density and…

The optimal spectral efficiency and number of independent channels for MIMO antennas in isotropic multipath channels are investigated when bandwidth requirements are placed on the antenna. By posing the problem as a convex optimization…

Signal Processing · Electrical Eng. & Systems 2021-09-07 Casimir Ehrenborg , Mats Gustafsson , Miloslav Capek

We present a novel method to determine the resonant frequency and quality factor of microwave resonators which is faster, more stable, and conceptually simpler than the yet existing techniques. The microwave resonator is irradiated at a…

Other Condensed Matter · Physics 2015-09-15 B. Gyüre , B. G. Márkus , B. Bernáth , F. Murányi , F. Simon

The external-Q factor of a resonant mode of a cavity represents the strength of the electromagnetic coupling between this resonant mode and the transmission mode of a waveguide coupled to the cavity. In this paper, we derive formulas to…

Accelerator Physics · Physics 2022-01-11 Osamu Kamigaito

We perform optimization of Q-factor in the system of freestanding three/four/five/six coaxial subwavelength dielectric disks over all scales. Each parameter contributes almost one order of magnitude of the Q-factor due to multiple avoided…

Optics · Physics 2023-07-13 Konstantin Pichugin , Almas Sadreev , Evgeny Bulgakov
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