On nonlinear classical electrodynamics with an axionic term

Murchikova, E. M.

doi:10.1088/1751-8113/44/4/045401

Cited by 13 publications

(8 citation statements)

References 22 publications

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“…In ref. [14], the Lagrangian formulation of Born-Infeld electrodynamics coupled to an axionic field in the presence of an external source has been studied. The electric field and the stored electrostatic energy per unit length for an infinite charged line and an infinitely long cylinder in Born-Infeld electrostatics have been calculated analytically in ref.…”

Section: Introductionmentioning

confidence: 99%

Parallel-plate and spherical capacitors in Born-Infeld electrostatics: An analytical study

Moayedi¹,

Shafabakhsh²

2016

Eur. Phys. J. Plus

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In 1934, Max Born and Leopold Infeld suggested and developed a nonlinear modification of Maxwell electrodynamics, in which the electrostatic self-energy of an electron was a finite value. In this paper, after a brief introduction to Lagrangian formulation of Born-Infeld electrodynamics with an external source, the explicit forms of Gauss's law and the electrostatic energy density in Born-Infeld theory are obtained. The capacitance and the stored electrostatic energy for a parallel-plate and spherical capacitors are computed in the framework of Born-Infeld electrostatics. We show that the usual relations U = 1 2 C Maxwell (△φ) 2 and U = q 2 2C Maxwell are not valid for a capacitor in Born-Infeld electrostatics. Numerical estimations in this research show that the nonlinear corrections to the capacitance and the stored electrostatic energy for a capacitor in Born-Infeld electrostatics are considerable when the potential difference between the plates of a capacitor is very large.

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Section: Introductionmentioning

confidence: 99%

Parallel-plate and spherical capacitors in Born-Infeld electrostatics: An analytical study

Moayedi¹,

Shafabakhsh²

2016

Eur. Phys. J. Plus

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“…Как примеры рассмотрены ГТГ и нелинейное вращение поляризации волны. Типичной характеристикой таких сред в линейном случае является гиротропия, обусловленная топологическими свойствами динамики электронов и отмеченная в ряде работ, посвященных топологическим изоляторам и полуметаллу Вейля [16][17][18][19][25][26][27][28][29][30]. Это свойство воспроизводится в рассмотренной модели, и предсказывается различие в нелинейных откликах для волн разной циркулярной поляризации.…”

Section: заключениеunclassified

Феноменологическая Модель Нелинейных Оптических Свойств Топологической Среды

Maĭmistov¹

2021

Оптика И Спектроскопия

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Based on the quasi-classical description of electron dynamics in topological media, the gyrotropic prop-erties of which are due to the non-zero Berry curvature, the phenomenological model is proposed. Model allows us to consider some nonlinear optical processes – the generation of the third harmonic and the rotation of the wave polarization vector depending on the intensity. Third-order nonlinear sus-ceptibilities, which determine the interaction of waves taking into account the rotation of the wave po-larization vector, are determined. Gyrotropicity manifests itself in the dependence of the harmonic con-version efficiency on the circular polarization of radiation, which can be used to measure the parameters of this media.

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“…For comparison, let us adduce the corresponding expressions for the electric polarization and the magnetization in the weak field approximation ensuing from the classical Born-Infeld model [33]. They are…”

Section: Theoretical Model and Basic Equationsmentioning

confidence: 99%

Dispersion properties, nonlinear waves and birefringence in classical nonlinear electrodynamics

2020

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Using the very basic physics principles, we have studied the implications of quantum corrections to classical electrodynamics and the propagation of electromagnetic waves and pulses. The initial nonlinear wave equation for the electromagnetic vector potential is solved perturbatively about the known exact plane wave solution in both the case of a polarized vacuum without external field, as well as when a constant magnetic field is applied. A nonlinear wave equation with nonzero convective part for the (relatively) slowly varying amplitude of the first-order perturbation has been derived. This equation governs the propagation of electromagnetic waves with a reduced speed of light, where the reduction is roughly proportional to the intensity of the initial pumping plane wave. A system of coupled nonlinear wave equations for the two slowly varying amplitudes of the first-order perturbation, which describe the two polarization states, has been obtained for the case of constant magnetic field background. Further, the slowly varying wave amplitude behavior is shown to be similar to that of a cnoidal wave, known to describe surface gravity waves in shallow water. It has been demonstrated that the two wave modes describing the two polarization states are independent, and they propagate at different wave frequencies. This effect is usually called nonlinear birefringence.

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On nonlinear classical electrodynamics with an axionic term

Cited by 13 publications

References 22 publications

Parallel-plate and spherical capacitors in Born-Infeld electrostatics: An analytical study

Parallel-plate and spherical capacitors in Born-Infeld electrostatics: An analytical study

Феноменологическая Модель Нелинейных Оптических Свойств Топологической Среды

Dispersion properties, nonlinear waves and birefringence in classical nonlinear electrodynamics

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