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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

Laws of electrodynamics constrain scattering cross-sections of resonant objects. Nevertheless, a fundamental bound that expresses how larger that scattering cross-section can be is yet to be found. Approaches based on cascading multiple…

Plasmonic nanostructures with singular geometries can exhibit a broadband scattering response that at first glance appears to violate the lower bounds for the radiation quality (Q) factor of small radiators, known as the Chu limit. Here we…

Optics · Physics 2021-07-23 Mariano Pascale , Sander A. Mann , Carlo Forestiere , Andrea Alù

Operational bandwidth of resonant circuits is limited by the resonator's size, which is known as the Chu limit. This limit restricts miniaturization of antennas, as the antenna bandwidth is inversely proportional to its size. Here, we…

Applied Physics · Physics 2023-05-10 M. H. Mostafa , N. Ha-Van , P. Jayathurathnage , X. Wang , G. Ptitcyn , S. A. Tretyakov

This paper revisit and extend the interesting case of bounds on the Q-factor for a given directivity for a small antenna of arbitrary shape. A higher directivity in a small antenna is closely connected with a narrow impedance bandwidth. The…

Classical Physics · Physics 2017-10-31 B. L. G. Jonsson , Shuai Shi , Lei Wang , Fabien Ferrero , Leonardo Lizzi

Electromagnetic scattering bounds on subwavelength structures play an important role in estimating performances of antennas, RFID tags, and other wireless communication devices. An appealing approach to increase a scattering cross-section…

The upper bound on antenna gain is expressed as a sum of lossy characteristic modes, specifically, as a sum of characteristic far fields squared. The procedure combines the favorable properties of Harrington's classical approach to maximum…

Applied Physics · Physics 2023-12-25 Miloslav Capek , Lukas Jelinek

Using ideas from Chu and Bode/Fano theories, we characterize the maximum achievable rate over the single-input single-output wireless communication channels under a restriction on the antenna size at the receiver. By employing…

Information Theory · Computer Science 2021-07-19 Volodymyr Shyianov , Mohamed Akrout , Faouzi Bellili , Amine Mezghani , Robert W. Heath

Fundamental bounds on antenna gain are found via convex optimization of the current density in a prescribed region. Various constraints are considered, including self-resonance and only partial control of the current distribution. Derived…

Classical Physics · Physics 2019-09-04 Mats Gustafsson , Miloslav Capek

Characteristic Mode analysis is a widely used technique in antenna design, providing insight into the fundamental electromagnetic properties of radiating structures. In this paper, we establish fundamental bounds on the slope of…

Computational Physics · Physics 2025-04-16 Johan Lundgren , Mats Gustafsson

The fundamental limit for small antennas provides a guide to the effectiveness of designs. Gustafsson et al, Yaghjian et al, and Mohammadpour-Aghdam et al independently deduced a variation of the Chu-Harrington limit for planar antennas in…

Optics · Physics 2014-02-06 Morteza Shahpari , David V. Thiel , Andrew Lewis

In this work, a parametric up-converter amplifier is introduced as a wideband impedance matching network for receiving electrically small antennas. Chu's limit restricts the minimum Q-factor of unloaded small antennas; however, the…

Applied Physics · Physics 2021-01-11 Pedram Loghmannia , Majid Manteghi

Bounds on the frequency domain behavior of electrically small antennas are adapted to assess the time domain distortion or fidelity achievable by simple linear time-invariant (LTI) systems. Rigorous expressions for a TM$_{01}$ spherical…

Applied Physics · Physics 2023-07-19 Kurt Schab , Amritpal Singh , Nicole Bohannon

Small form-factor, narrowband, and highly directive antennas are of critical importance in a variety of applications spanning wireless communications, remote sensing, Raman spectroscopy, and single photon emission enhancement. Surprisingly,…

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

This paper proposes a new methodology to design optimal antennas for MIMO (Multi-Input Multi-Output) communication systems by using spherical mode expansion. Given spatial channel properties of a MIMO channel, such as the angular profile at…

Information Theory · Computer Science 2017-06-06 Maki Arai , Masashi Iwabuchi , Kei Sakaguchi , Kiyomichi Araki

High-gain antennas are essential hardware devices, powering numerous daily applications, including distant point-to-point communications, safety radars, and many others. While a common approach to elevate gain is to enlarge an antenna…

Applied Physics · Physics 2023-04-20 Gilad Uziel , Dmytro Vovchuk , Andrey Machnev , Vjaceslavs Bobrovs , Pavel Ginzburg

The potential breakdown of the notion of a metric at high energy scales could imply the existence of a fundamental minimal length scale below which distances cannot be resolved. One approach to realizing this minimum length scale is…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Ahmed Shalabi , Laura J. Henderson , Robert B. Mann

For the accurate representation and reconstruction of band-limited signals on the sphere, an optimal-dimensionality sampling scheme has been recently proposed which requires the optimal number of samples equal to the number of degrees of…

Information Theory · Computer Science 2017-09-11 Wajeeha Nafees , Zubair Khalid , Rodney A. Kennedy , Jason D. McEwen

Both the radiation efficiency and bandwidth of electrically small antennas are dramatically reduced as the size decreases. Fundamental limitations on the bandwidth of small antennas have been thoroughly treated in the past. However, upper…

Instrumentation and Detectors · Physics 2017-04-26 Carl Pfeiffer
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