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The properties of the modified Maxwell electrodynamics (ModMax) are investigated in presence of external and uniform electric and magnetic fields. We expand the non-linear theory around an electromagnetic background up to second order in…

High Energy Physics - Theory · Physics 2023-04-20 M. J. Neves , Patricio Gaete , L. P. R. Ospedal , J. A. Helayël-Neto

We consider couplings of electrically and magnetically charged sources to the maximally symmetric non-linear extension of Maxwell's theory called ModMax. The aim is to reveal physical effects which distinguish ModMax from Maxwell's…

High Energy Physics - Theory · Physics 2022-08-17 Kurt Lechner , Pieralberto Marchetti , Andrea Sainaghi , Dmitri P. Sorokin

We uncover a previously overlooked contribution to the electro-optic Kerr rotation of reflected light, arising from the interplay of matter, the static electric field, and the magnetic component of light. This contribution remains nonzero…

Materials Science · Physics 2026-05-20 Erlend Syljuåsen , Alireza Qaiumzadeh , Rembert A. Duine , Arne Brataas

Modified Maxwell electrodynamics, or ModMax for short, is the unique nonlinear extension of Maxwell's theory that preserves its notable symmetries: conformal invariance and electromagnetic duality. ModMax has been studied extensively at the…

High Energy Physics - Theory · Physics 2024-06-28 Cian Luke Martin

We use weakly nonlinear geometric optics to study a model for the DC Kerr effect (the Kerr electro-optic effect), in which a light beam propagating through a material with strong nonlinear optical properties can have its polarization…

Analysis of PDEs · Mathematics 2025-05-05 Nikolas Eptaminitakis , Plamen Stefanov

ModMax is a nonlinear electrodynamics theory with the same symmetries as Maxwell electrodynamics. Static spherically symmetric solutions have been derived by coupling ModMax electrodynamics with the Einstein equations, which can represent a…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Elda Guzman-Herrera , Nora Breton

Emergent axion electrodynamics in magneto-electric media is expected to provide novel ways to detect and control material properties with electromagnetic fields. However, despite being studied intensively for over a decade, its theoretical…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Junyeong Ahn , Su-Yang Xu , Ashvin Vishwanath

Non-linear electrodynamic models are re-assessed in this paper to pursue an investigation of the kinematics of the Compton effect in a magnetic background. Before considering specific models, we start off by presenting a general non-linear…

High Energy Physics - Theory · Physics 2021-07-14 M. J. Neves , Jorge B. de Oliveira , L. P. R. Ospedal , J. A. Helayël-Neto

We propose a microscopic mechanism to electrically reconfigure the Kerr nonlinearity by modulating the concentration of free electrons in heavily doped semiconductors under a static bias. Our theory incorporates electrostatic and…

We compare light propagation through an intense electromagnetic background as described by three different nonlinear electrodynamics: Born-Infeld (BI), Euler-Heisenberg (EH), and Modified Maxwell (MM). We use the concept of effective metric…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Elda Guzman-Herrera , Ariadna Montiel , Nora Breton

We extend our previous study of the polarization dependence of the nonlinear optical response to the case of magnetic surfaces and buried magnetic interfaces. We calculate for the longitudinal and polar configuration the nonlinear…

Condensed Matter · Physics 2009-10-28 W. Hubner , K. H. Bennemann

Magneto-optical Kerr effect, normally found in magnetic materials with nonzero magnetization such as ferromagnets and ferrimagnets, has been known for more than a century. Here, using first-principles density functional theory, we…

Materials Science · Physics 2015-11-04 Wanxiang Feng , Guang-Yu Guo , Jian Zhou , Yugui Yao , Qian Niu

We explore dynamical features of the maximally symmetric nonlinear extension of classical electromagnetism, recently proposed in the literature as ``ModMax'' electrodynamics. This family of theories is the only one that preserves all the…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Juan Manuel Diaz , Marcelo E. Rubio

A theoretical study is presented for the random aspect of an optical vortex inherent in the nonlinear birefringent Kerr effect, which is called the optical spin vortex. We start with the two-component nonlinear Schr\"{o}dinger equation. The…

Statistical Mechanics · Physics 2020-09-21 Satoshi Tsuchida , Hiroshi Kuratsuji

We demonstrated a large enhancement of Kerr electro-optic nonlinearity through cascaded Pockels effects in a domain inversion ferroelectric crystal. We designed a structure that can implement the cascaded Pockels effects and second-harmonic…

Optics · Physics 2017-04-20 Guang-Zhen Li , Yu-Ping Chen , Hao-Wei Jiang , Xian-Feng Chen

The influence of quantum fluctuations of the electromagnetic field on the propagation of a polarized light wave in a nonlinear dielectric is investigated. It is shown that in some cases, the fluctuations couple to the optical nonlinearities…

Quantum Physics · Physics 2019-07-17 V. A. De Lorenci , L. H. Ford

We predict theoretically and demonstrate experimentally an ellipticity-dependent nonlinear magneto-optic rotation of elliptically-polarized light propagating in a coherent atomic medium. We show that this effect results from a hexadecapole…

Atomic Physics · Physics 2009-11-07 A. B. Matsko , I. Novikova , M. S. Zubairy , G. R. Welch

The dynamics of the modulation instability induced by cross phase modulation is studied by considering the influence of the walk-off and noninstantaneous response effects for two copropagating optical fields travelling in the anomalous…

Optics · Physics 2017-11-08 Askery Canabarro , B. Santos , B. de Lima Bernardo

We present a geometrical formulation of nonlinear electrodynamics by expressing its principal symbol as an optical metric-induced object. Under the assumption of no birefringence, we show that the evolution of linear perturbations can be…

Optics · Physics 2026-02-25 Érico Goulart , Eduardo Bittencourt

Nonlinear magneto-optics is a very sensitive fingerprint of the electronic, magnetic, and atomic structure of surfaces, interfaces, and thin ferromagnetic films. Analyzing theoretically the nonlinear magneto-optical Kerr effect for thin…

Condensed Matter · Physics 2009-10-28 U. Pustogowa , T. A. Luce , W. Hubner , K. H. Bennemann
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