Nonlinear magneto-optics in garnet magnetophotonic crystals
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Nonlinear magneto-optics in garnet magnetophotonic crystals O.A. Aktsipetrov, T.V. Dolgova, A.A. Fedyanin, R.V. Kapra, T.V. Murzina Department of Physics, Moscow State University, 119992 Moscow, Russia M. Inoue, T. Yoshida, D. Kobayashi, K. Nishimura, H. Uchida Toyohashi University of Technology, 441-8580 Toyohashi, Japan ABSTRACT In this paper the results of our recent studies of the magnetization-induced nonlinear optical second-order and third-order effects in magnetophotonic crystals and magnetophotonic microcavities are surveyed. Nonlinear magneto-optical Kerr effect (NOMOKE) both in magnetization-induced second-harmonic generation (MSHG) and magnetization-induced third-harmonic generation (MTHG) is observed in garnet MMC at wavelengths of the resonant microcavity modes. Magnetization-induced variations of MSHG and MTHG intensity as well as magnetization-induced shift of phase and rotation of polarization of second-harmonic and third-harmonic waves are observed in proper - transversal, longitudinal or polar - NOMOKE configurations. Nonlinear magneto-optical Kerr effect in MSHG intensity is observed in garnet magnetophotonic crystals in the spectral range of photonic band gap (PBG) edges of MPC. The MSHG intensity reveals enhancement by a factor of more than 102 if the fundamental wavelength is tuned in the vicinity of the PBG edge. This enhancement is attributed to the fulfilment of the phase matching conditions for MSHG effect in layered structures with periodic modulation of both optical (magneto-optical) and nonlinear optical parameters. INTRODUCTION The studies of nonlinear magneto-optical effects in magnetophotonic crystals are two-fold motivated as both photonic band gap (PBG) materials and nonlinear magneto-optics separately attract recently considerable attentions. The PBG structures: photonic crystals (PC) and microcavities (MC), have been the subject of intensive studies for the last ten years1 . Fast progress in fabrication techniques of the PBG materials brought about the observation of new phenomena in contemporary optics related to the propagation of light throw sophisticated artificial structures. One of the potential advantages of PBG materials is significant enhancement of the nonlinear-optical effects such as secondharmonic (SHG) and third-harmonic (THG) generation in PC’s. For example, the anomalously small group velocity2 of optical waves allows one to fulfill effectively the phase-matching conditions for SHG in case as the fundamental or second-harmonic (SH) wave is tuned near the PBG edge. The SHG enhancement in one-dimensional (1D) photonic crystals, due to the phase matching was proposed in Ref.[3 ] and later was observed in PC’s formed from different semiconductors and dielectrics4–7 . Another mechanism of the SHG and THG enhancement is realized in photoniccrystal microcavities possessing the resonant microcavity mode located in PBG. The fundamental field is strongly localized in the microcavity spacer if the wavelength of fundamental wave are adjusted to the resonant MC mode. I
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