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International Journal of Mechanics and Materials in Design
Published in: International Journal of Mechanics and Materials in Design 2/2008

01-06-2008

Electromagnetically-coupled plane waves in linear multiferroics

Authors: Grayson J. Bush, Gregory P. Carman

Published in: International Journal of Mechanics and Materials in Design | Issue 2/2008

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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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Footnotes
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).
 
Literature
Bush, G.J., Carman, G.P.: Analysis of linear ferroelectro-magnetic continua and their couplings. Int. Ferroelectr. 71, 181–191 (2005)CrossRef
Dutton, Z., Hau, L.V.: Storing and processing optical information with ultra-slow light in Bose-Einstein condensates. Phys. Rev. A 70, 053831 (2004)CrossRef
Dmitriev, V.: Tables of the second rank constitutive tensors for linear homogeneous media described by the point magnetic groups of symmetry. Prog. Electromagn. Res. 28, 43–95 (2000) (and references therein)CrossRef
Fujimora, N., Ishida, T., Yoshimura, T., Ito, T.: Epitaxially grown YMnO3 film: new candidate for nonvolatile memory devices. Appl. Phys. Lett. 69(7), 1011–1013 (1996)CrossRef
Gao, X.S., Liu, J.-M., Chen, X.Y., Liu, Z.G.: Monte carlo approach to phase transitions in ferroelectromagnets. J. Appl. Phys. 88(7), 4250–4256 (2000)CrossRef
Hill, N.A., Rabe, K.M.: First-principles investigation of ferromagnetism and ferroelectricity in bismuth manganite. Phys. Rev. B 59(13), 8759–8769 (1999)CrossRef
Khomskii, D.I.: Multiferroics: multiple ways to combine magnetism and ferroelectricity. J. Magn. Magn. Mater. 306, 1–8 (2006)
Lorenz, B., Cruz, C.R. dela, Yen, F., Wang, Y.Q., Sun, Y.Y., Chu, C.W.: Coupling of magnetic order, ferroelectricity, and lattice strain in multiferroic rare earth manganites. In: Proceedings of 107th Annual Meeting of the American Ceramic Society, Baltimore, 10–13 April 2005
Metadata
Title
Electromagnetically-coupled plane waves in linear multiferroics
Authors
Grayson J. Bush
Gregory P. Carman
Publication date
01-06-2008
Publisher
Springer Netherlands
Published in
International Journal of Mechanics and Materials in Design / Issue 2/2008
Print ISSN: 1569-1713
Electronic ISSN: 1573-8841
DOI
https://doi.org/10.1007/s10999-007-9048-9

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