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The complex Poynting theorem is extended canonically to a time-scale domain $(t, s)$ by replacing the phasors of time-harmonic fields by the analytic signals $X(r, t+is)$ of fields $X(r,t)$ with general time dependence. The imaginary time…

Mathematical Physics · Physics 2016-01-26 Gerald Kaiser

The most general expressions of the stored energies for time-harmonic electromagnetic fields are derived from the time-domain Poynting theorem, and are valuable in characterizing the energy storage and transport properties of complex media.…

Classical Physics · Physics 2017-07-19 Wen Geyi

We report a new energy conservation law for time-harmonic electromagnetic fields, which is valid for an arbitrary medium. In contrast to the well-established Poynting theorem for time-harmonic fields, the real part of the new energy…

Classical Physics · Physics 2016-11-15 Wen Geyi

We introduce and study a generalized energy conservation relation for scattering of time-modulated waves, where conventional energy conservation does not hold. Based on this relation, we derive an optical theorem and compute the active…

Optics · Physics 2025-09-25 Erik Orvehed Hiltunen , John C. Schotland

Electrical networks, and physical systems in general, are known to satisfy a power balance equation which states that the rate of change of the energy in time equals the power at the port of the network minus the power dissipated. However,…

Dynamical Systems · Mathematics 2016-04-29 Dimitri Jeltsema , Gerald Kaiser

Poynting theorem plays a very important role in analyzing electromagnetic phenomena. The electromagnetic power flux density is usually expressed with the Poynting vector. However, since Poynting theorem basically focuses on the power…

Classical Physics · Physics 2020-03-03 Gaobiao Xiao

A theory for analyzing the radiative and reactive energies for pulse radiators in free space is presented. With the proposed definition of reactive energies and radiative energies, power balance at arbitrarily chosen observation surfaces…

Classical Physics · Physics 2021-03-25 Gaobiao Xiao

Accumulation of energy by reactive elements is limited by the amplitude of time-harmonic external sources. In the steady-state regime, all incident power is fully reflected back to the source, and the stored energy does not increase in…

Applied Physics · Physics 2019-01-16 M. S. Mirmoosa , G. A. Ptitcyn , V. S. Asadchy , S. A. Tretyakov

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

The goal of this article is to derive the reciprocity theorem, mutual energy theorem from Poynting theorem instead of from Maxwell equation. The Poynting theorem is generalized to the modified Poynting theorem. In the modified Poynting…

General Physics · Physics 2016-05-30 Shuang-ren Zhao , Kevin Yang , Kang Yang , Xingang Yang , Xintie Yang

Original abstract: Consider the worldline of a charged particle in a static spacetime. Contraction of the time-translation Killing field with the retarded electromagnetic energy-momentum tensor gives a conserved electromagnetic energy…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Stephen Parrott

We study the energy properties of a particle in one dimensional semi-harmonic rectangular wells and barriers. The integration of energies is obtained by solving a simple transcendental equation. Scattering states are shown to include cases…

Mathematical Physics · Physics 2011-05-06 Nicolás Fernández-García , Oscar Rosas-Ortiz

Energy conservations are studied for inhomogeneous incompressible and compressible Euler equations with general pressure law in a torus or a bounded domain. We provide sufficient conditions for a weak solution to conserve the energy. By…

Analysis of PDEs · Mathematics 2019-09-23 Quoc-Hung Nguyen , Phuoc-Tai Nguyen , Bao Quoc Tang

In an ordinary time-varying capacitor, there is debate whether a time-domain multiplication or a time-domain convolution of capacitance and voltage determines charge. A time-varying capacitor in parallel with a resistor was implemented by a…

Classical Physics · Physics 2024-08-30 Eirik Brenner Marthins , Sverre Holm

The behavior of instantaneous and averaged vectors of the Poynting vector transverse component for the resulting field formed as a superposition of waves with different frequencies and different polarizations is considered. Results of…

Optics · Physics 2020-06-24 I. Mokhun , I. Bodyanchuk , K. Galushko , Y. Galushko , O. Val , Y. Viktorovskaya

This paper presents a novel time-domain perspective of the Currents' Physical Components (CPC) power theory for single-phase systems operating under nonsinusoidal conditions. The proposed CPC decomposition reveals some appealing physical…

Optimization and Control · Mathematics 2014-04-28 Dimitri Jeltsema , Jacob W. van der Woude , Marek T. Hartman

In a recent paper titled "Coherent electromagnetic wavelets and their twisting null congruences," I defined the local inertia density (I), reactive energy density (R), and energy flow velocity (v) of an electromagnetic field. These are the…

Classical Physics · Physics 2015-05-28 Gerald Kaiser

It has been demonstrated in a recent paper (Mod.Phys.Lett. A13, 1265 (1998); hep-th/9902020) that the existence of a non-thermodynamic arrow of time at the atomic level is a fundamental requirement for conservation of energy in…

High Energy Physics - Theory · Physics 2009-10-31 T K Rai Dastidar , Krishna Rai Dastidar

The formulation and some experimental implications of a general Lorentz-violating extension of the standard model are reviewed. The theory incorporates both CPT-preserving and CPT-breaking terms. It is otherwise a conventional quantum field…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alan Kostelecky

We apply the Poynting theorem to the scattering of monochromatic electromagnetic planes waves with normal incidence to the interface of two different media. We write this energy conservation theorem to introduce a natural definition of the…

Classical Physics · Physics 2008-10-30 V. Dominguez-Rocha , C. Zagoya , M. Martinez-Mares
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