Electromagnetic unidirectionality in magnetic photonic crystals

Magnetization, either spontaneous or field-induced, is always associated with nonreciprocal circular birefringence which breaks the reciprocity principle and qualitatively changes electrodynamics of medium. In magnetic photonic crystals and other periodic structures involving magnetic components, broken reciprocity can result in electromagnetic unidirectionality, when the traveling waves can only propagate in one the two opposite directions. The unidirectional wave propagation can only occur if both time reversal and space inversion symmetries of the periodic structure are broken. During the last decade there have been numerous publications devoted to this kind of phenomenon. Our goal is to present some of those ideas.

[1]  Richard Bellman,et al.  Introduction to Matrix Analysis , 1972 .

[2]  E. M. Lifshitz,et al.  Electrodynamics of continuous media , 1961 .

[3]  A. Freeman,et al.  Magnetoelectric Interaction Phenomena in Crystals , 1975 .

[4]  Robert Carlson,et al.  Linear Ordinary Differential Equations , 1987 .

[5]  How,et al.  Surface retarded modes in multilayered structures: Parallel magnetization. , 1989, Physical review. B, Condensed matter.

[6]  Timothy A. Birks,et al.  Photonic Bloch waves and photonic band gaps , 1995 .

[7]  G. Melkov,et al.  Magnetization Oscillations and Waves , 1996 .

[8]  Toshitaka Fujii,et al.  A theoretical analysis of magneto-optical Faraday effect of YIG films with random multilayer structures , 1997 .

[9]  Electronic energy spectra in antiferromagnetic media with broken reciprocity , 1997 .

[10]  C. Bender,et al.  Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry , 1997, physics/9712001.

[11]  Ken Ichi Arai,et al.  Magneto-optical properties of one-dimensional photonic crystals composed of magnetic and dielectric layers , 1998 .

[12]  Ken Ichi Arai,et al.  One-dimensional magnetophotonic crystals , 1999 .

[13]  A. Figotin,et al.  Nonreciprocal magnetic photonic crystals. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[14]  Theo Rasing,et al.  Magnetic photonic crystals , 2003 .

[15]  A. Grishin,et al.  Enhanced Faraday rotation in all-garnet magneto-optical photonic crystal , 2004 .