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Electromagnetically-coupled plane waves in linear multiferroics

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Abstract

This paper presents the analytical development of a wave equation for real, rapidly altering fields in linear, electromagnetically-coupled materials. Giving consideration to phenomenology, crystal color symmetry and the laws of Ampere and Faraday, the analysis is applied to an orthorhombic single-crystal, linear ferroelectromagnet. The results of the analysis are discussed with an emphasis on the influence of the magnetoelectric coupling coefficient on the velocity expression obtained for electromagnetic plane waves. The implications of the expressions to modulated optical properties and the use of electromagnetically-coupled materials are discussed.

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Notes

  1. A change in notation from the m mn used in (Bush et al. 2005) has been made to reflect the difference in the nature of the coupling described: rapidly altering fields associated with an electromagnetic wave propagating through a field-coupled material vice the electro- and magneto-static external fields acting on a field-coupled material.

  2. The same result may be had by taking the adjoint of the internal energy density for complex fields.

  3. Multiferroics have been shown to exist in the orthorhombic crystal structure (Lorenz et al. 2005). According to the development above, it can be seen from (Dmitriev 2000) that another candidate material structure is that of triclinic CiC1. Multiferroics with such a structure were reported by (Khomskii 2006).

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Authors and Affiliations

  1. Mechanical and Aerospace Department, University of California, Los Angeles, 420 Westwood Plaza, Los Angeles, CA, 90095-1597, USA

    Grayson J. Bush & Gregory P. Carman

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  1. Grayson J. Bush
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  2. Gregory P. Carman
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Correspondence to Gregory P. Carman.

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Bush, G.J., Carman, G.P. Electromagnetically-coupled plane waves in linear multiferroics. Int J Mech Mater Des 4, 105–111 (2008). https://doi.org/10.1007/s10999-007-9048-9

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  • DOI: https://doi.org/10.1007/s10999-007-9048-9

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