Disorder Effect on the Transmission of Second Harmonic Waves in One-Dimensional Periodically Poled LiTaO<sub>3</sub>
- 1 Department of Physics, Faculty of Science, Lorestan University, Khorram-Abad, Iran
- 2 Department of Physics, Faculty of Science, Lorestan University, Khorram-Abad, Iran
- 3 Department of Physics, Faculty of Science, Lorestan University, Khorram-Abad, Iran
Abstract
One of the methods for calculating electromagnetic wave dispersion in multi-layer structures is the transfer matrix method. In this paper, we use the transfer matrix method for second harmonic generation in a nonlinear multilayer structure. The nonlinear photonic crystals investigated in this paper are as one-dimensional multi-layered structures including ferroelectric materials such as LiTaO 3 . Our goal is to investigate the effect of the disorder on the transmission spectrum of electromagnetic waves. Our results showed that positional disorder has different effects on the transmitting band and the gap band. The disorder in the transmitting band reduces the transmission coefficient of the waves and increases the transmission coefficient of the waves in the gap band. Such work has not yet been done on nonlinear photonic crystals producing the second harmonic.
- Anderson, P.W. (1958) Physical Review, 109, Article ID: 1492. https://doi.org/10.1103/PhysRev.109.1492
- Abrahams, E., Anderson, P.W., Licciardello, D.C. and Ramakrishnan, T.V. (1979) Physical Review Letters, 42, Article ID: 673. https://doi.org/10.1103/PhysRevLett.42.673
- Kramer, B. and MacKinnon, A. (1993) Reports on Progress in Physics, 56, 1469. https://doi.org/10.1088/0034-4885/56/12/001
- Dunlap, D.H., Wu, H.-L. and Phillips, P.W. (1990) Physical Review Letters, 65, Article ID: 88. https://doi.org/10.1103/PhysRevLett.65.88
- Phillips, P.W. and Wu, H.L. (1991) Science, 252, 1805-1812. https://doi.org/10.1126/science.252.5014.1805
- de Moura, F.A.B.F. and Lyra, M.L. (1998) Physical Review Letters, 81, Article ID: 3735.
- Domínguez-Adame, F., Malyshev, V.A., de Moura, F.A.B.F. and Lyra, M.L. (2003) Physical Review Letters, 91, Article ID: 197402. https://doi.org/10.1103/PhysRevLett.91.197402
- Theodorou, G. and Cohen, M. (1976) Physical Review B, 13, Article ID: 4597. https://doi.org/10.1103/PhysRevB.13.4597
- Fleishman, L. and Licciardello, D.C. (1977) Journal of Physics C, 10, L125.
- Pendry, J.B. (1994) Advances in Physics, 43, 461-542. https://doi.org/10.1080/00018739400101515
- Bertolotti, J., Gottardo, S., Wiersma, D.S., Ghulinyan, M. and Pavesi, L. (2005) Physical Review Letters, 94, Article ID: 113903. https://doi.org/10.1103/PhysRevLett.94.113903
- Yablonovitch, E. (1987) Physical Review Letters, 58, Article ID: 2059. https://doi.org/10.1103/PhysRevLett.58.2059
- Fan, S.H., Villeneuve, P.R. and Joannopoulos, J.D. (1996) Physical Review B, 54, Article ID: 11245. https://doi.org/10.1103/PhysRevB.54.11245
- Sebbah, P., Hu, B., Klosner, J.M. and Genack, A.Z. (2006) Physical Review Letters, 96, Article ID: 183902. https://doi.org/10.1103/PhysRevLett.96.183902
- Bertolotti, J., Galli, M., Sapienza, R., Ghulinyan, M., Gottardo, S., Andreani, L.C., Pavesi, L. and Wiersma, D.S. (2006) Physical Review E, 74, Article ID: 035602.
- Piskarskas, A., Smilgevicius, V., Stabinis, A., Jarutis, V., Pasiskevicius, V., Wang, S., Tellefsen, J. and Laurell, F. (1999) Optics Letters, 24, 1053-1055. https://doi.org/10.1364/OL.24.001053
- Zhu, Y.Y., Fu, J.S., Xiao, R.F. and Wong, G.K. (1997) Applied Physics Letters, 70, 1793-1795. https://doi.org/10.1063/1.118694