Berlin 2018 – scientific programme

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KFM: Fachverband Kristalline Festkörper und deren Mikrostruktur

KFM 11: Dielectric, Elastic and Electromechanical Properties

KFM 11.5: Talk

Tuesday, March 13, 2018, 11:20–11:40, EMH 025

On the Theory of Magneto-Optical Effects in Crystalline Dielectrics — •Nadine Suzan Cetin, Marius Dommermuth, and Nils Schopohl — Institut für Theoretische Physik and CQ Center for Collective Quantum Phenomena and their Applications in LISA⁺, Eberhard-Karls-Universität Tübingen, Auf der Morgenstelle 14, D-72076 Tübingen, Germany

A recent theory of the propagation of light in crystalline dielectrics, based on an exact solution of the fundamental field integral equations determining the microscopic local electric field, solely with the individual microscopic polarizabilities α(R,ω) of atoms (molecules, ions) at a site R and the crystalline symmetry as input into the theory^[1], is extended to take into account the effects of a static external magnetic induction field B⁽⁰⁾ within a Lorentz oscillator model. Decomposing the microscopic local electric field into longitudinal and transversal parts, an effective wave equation determining the radiative part of the macroscopic field in terms of the transverse dielectric tensor ε_ab^(T)(q,ω;B⁽⁰⁾) is deduced from the exact solution to the field-integral equations. The Taylor expansion ε_ab^(T)(q,ω;B⁽⁰⁾)=ε_ab^(T)(ω)+iγ_abc(ω)q_c+α_abcd(ω)q_cq_d+A_abc⁽¹⁾(ω)B_c⁽⁾+A_abcd⁽¹⁾(ω)B_c⁽⁰⁾q_d+... around q=0 and around B⁽⁰⁾=0 provides then insight into various optical and magneto-optical phenomena, in full agreement with the phenomenological reasoning of Agranovich and Ginzburg. We present calculations of the Faraday effect for quartz, CaF₂ and BaF₂ and compare with experimental data.

[1] Marius Dommermuth and Nils Schopohl, arXiv:1709.07277