Sage Journals: Discover world-class research

Abstract

The propagation of electromagnetic plane waves in linear magnetoelectric materials is studied. The wave equation is derived as a generalized two-dimensional eigenvalue problem, and a method of calculating the propagating wave modes is presented. An analytic dispersion relation for general bianisotropic materials is given. Additionally, an analytic model is presented, which decomposes electric and magnetic fields into coupled and uncoupled components. This model provides a methodology for characterizing the coupled field parameters in terms of the polarizations induced by cross-coupling effects in magnetoelectric materials. From this formulation, the interactions of applied fields in magnetoelectric materials are contrasted with conventional material counterparts. This is then used to characterize the fields in terms of polarizations induced by the uncoupled components and cross-coupling parameters. Reciprocal and nonreciprocal configurations of magnetoelectric materials are identified. The similarities and differences of nonreciprocal magnetoelectric materials to Faraday materials are described. Directional dependence of the propagating modes is shown graphically and described.

Keywords

Wave propagation magnetoelectric bianisotropic multiferroic

Get full access to this article

View all access options for this article.

References

Akyurtlu

Werner

(2004) Bi-FDTD: a novel finite-difference time-domain formulation for modeling wave propagation in bi-isotropic media. IEEE Transactions on Antennas and Propagation 52(2): 416–425.

Amirkhizi

Nemat-Nasser

(2008) Numerical calculation of electromagnetic properties including chirality parameters for uniaxial bianisotropic media. Smart Materials and Structures 17(1): 015042.

Ascher

Janner

(1969) Upper bounds on the magneto-electric susceptibility. Physics Letters A 29(6): 295.

Astrov

(1960) The magnetoelectric effect in antiferromagnetics. Soviet Physics JETP: USSR 11: 708.

Brown

Hornreich

Shtrikman

(1968) Upper bound on the magnetoelectric susceptibility. Physical Review 168(2). Available at: http://link.aps.org/abstract/PR/v168/p574

Christopoulos

Paul

Thomas

DWP

(2001) Simulation of EM wave propagation in magnetoelectric media using TLM. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 14(6): 493–505. Available at: http://dx.doi.org/10.1002/jnm.437

Cory

(1995) Chiral devices—an overview of canonical problems. Journal of Electromagnetic Waves and Applications 9(5–6): 805–829.

Eerenstein

Mathur

Scott

(2006) Multiferroic and magnetoelectric materials. Nature 442: 759–765. Available at: http://dx.doi.org/10.1038/nature05023

Fetisov

Srinivasan

(2005) Ferrite/piezoelectric microwave phase shifter: studies on electric field tunability. Electronics Letters 41(19): 1066–1067.

10.

Fuchs

(1965) Wave propagation in a magnetoelectric medium. Philosophical Magazine 11(111): 647–649.

11.

(1992) A time-harmonic green’s function technique and wave propagation in a stratified nonreciprocal chiral slab with multiple discontinuities. Journal of Mathematical Physics 33(12): 4103–4110. Available at: http://link.aip.org/link/?JMP/33/4103/1

12.

Kong

(1990) Electromagnetic Wave Theory. New York: Wiley-Interscience.

13.

Lindell

Viitanen

(1993) Plane wave propagation in uniaxial bianisotropic medium. Electronics Letters 29(2): 150–152.

14.

O’Dell

(1970) The Electrodynamics of Magneto-Electric Media. New York: American Elsevier Publishing Company.

15.

Pattanayak

Birman

(1981) Wave propagation in optically active and magnetoelectric media of arbitrary geometry. Physical Review B 24(8): 4271–4278.

16.

Paul

Christopoulos

Thomas

DWP

(1999) Time-domain modeling of electromagnetic wave propagation in complex materials. Electromagnetics 19(6): 527–546. Available at: http://www.tandfonline.com/doi/abs/10.1080/02726349908908672

17.

Qiu

C-W

Yao

H-Y

L-W

. (2007) Backward waves in magnetoelectrically chiral media: propagation, impedance, and negative refraction. Physical Review B 75(15): 155120.

18.

Shen

(2006) Negative refractive index in gyrotropically magnetoelectric media. Physical Review B 73(4): 045113.

19.

Tsutsumi

Tomiya

Aoyagi

(1969) Guided-wave propagation through magnetoelectric media. Proceedings of the IEEE 57(4): 696–698.

20.

Viitanen

Lindell

(1993) Plane wave propagation in a uniaxial bianisotropic medium with an application to a polarization transformer. International Journal of Infrared and Millimeter Waves 14(10): 1993–2010. Available at: http://dx.doi.org/10.1007/BF02096368

21.

Vytovtov

(2001) Analytical investigation of electromagnetic waves in bianisotropic media. IEE Proceedings: Microwaves Antennas and Propagation 148(4): 257–260.

22.

Weiglhofer

(1999) On anomalous propagation in axially uniaxial bianisotropic mediums. International Journal of Infrared and Millimeter Waves 20: 1277–1286. Available at: http://dx.doi.org/10.1023/A:1021762525381

23.

Weiglhofer

(2000) On anomalous propagation in transversely uniaxial bianisotropic mediums. International Journal of Infrared and Millimeter Waves 21: 895–904. Available at: http://dx.doi.org/10.1023/A:1026441416793

24.

Yatom

(1973) Some inequalities for magnetic and dielectric materials. Solid State Communications 12(11): 1117–1119. Available at: http://www.sciencedirect.com/science/article/pii/0038109873901257

Electromagnetic wave propagation in (bianisotropic) magnetoelectric materials

Abstract

Keywords

Get full access to this article

References