Tamm states of a nonlinear slab sandwiched between a uniform medium and a one-dimensional photonic crystal

Progress In Electromagnetics Research Letters

Volumn 18, Issue , 2010, Pages 115-124

  Eyni, Z ^a   Roshan Entezar, S ^a   Namdar, A ^a   Tajalli, H ^a  

^a UNIVERSITY OF TABRIZ   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL STRUCTURE; ELECTROMAGNETIC FIELDS; NONLINEAR EQUATIONS; SURFACE STATES; SURFACE WAVES;

CONVENTIONAL MATERIALS; FIRST INTEGRAL; HELMHOLTZ WAVE EQUATION; LEFT-HANDED METAMATERIAL SLABS; NONLINEAR SELF-FOCUSING; ONE DIMENSIONAL PHOTONIC CRYSTAL; SELF-FOCUSING; TRANSVERSE ELECTRICS;

PHOTONIC CRYSTALS;

EID: 79551625374     PISSN: 19376480     EISSN: None     Source Type: Journal    
DOI: 10.2528/PIERL10072105     Document Type: Article

References (21)

1. John, S., "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett., Vol. 58, 2486, 1987.
2. Joannopoulos, J. D., R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, Princeton, Princeton University Press, NJ, 1995.
3. Rahimi, H., A. Namdar, S. Roshan Entezar, and H. Tajali, "Photonic transmission spectra in one-dimensional fibonacci multilayer structures containing single-negative metamaterials," Progress In Electromagnetics Research, Vol. 102, 15, 2010.
4. Nozhat, N. and N. Granpayeh, "Specialty fibers designed by photonic crystals," Progress In Electromagnetics Research, Vol. 99, 225, 2009.
5. Robertson, W. M., G. Arjavalingam, R. D. Meade, K. D. Brom-mer, A. M. Rappe, and J. D. Joannopoulos, "Observation of surface photons on periodic dielectric arrays," Opt. Lett., Vol. 18, 528, 1993.
6. Meade, R. D., K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, "Electromagnetic Bloch waves at the surface of a photonic crystal," Phys. Rev. B, Vol. 44, 10961, 1991.
7. Rahimi, H., "Backward tamm states in 1D single-negative metamaterial photonic crystals," Progress In Electromagnetics Research Letters, Vol. 13, 149, 2010.
8. Martorell, J., D. W. L. Sprung, and G. Morozov, "Surface TE waves on 1D photonic crystals," J. Opt. A: Pure Appl. Opt., Vol. 8, 630, 2006.
9. Namdar, A., I. V. Shadrivov, and Y. S. Kinshar, "Backward Tamm states in left-handed metamaterials," Apll. Phys. Lett., Vol. 89, 114104, 2006.
10. Boardman, A. D. and P. Egan, "Novel nonlinear surface and guided TE waves in asymmetric LHM waveguides," J. Opt. A: Pure Appl. Opt., Vol. 11, 114302, 2009.
11. Glushko, E. Y., "Analytical solution for the field in photonic structures containing cubic nonlinearity," Opt. Commun., Vol. 259, 342, 2006.
12. Schürmann, H. W., V. S. Serov, and Y. V. Shestopalov, "TE-polarized waves guided by a lossless nonlinear three-layer structures," Phys. Rev. E, Vol. 58, 1040, 1998.
13. Shelby, R. A., D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, 77, 2001.
14. Chigrin, D. N., A. V. Lavrinenko, D. A. Yarotsky, and S. V. Gaponenko, "Observation of total omnidirectional reflection from a one-dimensional dielectric lattice," Appl. Phys. A: Mater. Sci. Process., Vol. 68, 25, 1999.
15. Chettiar, U. K, A. V, Kildishev, H. K. Yuan, W. Cai, S. Xiao, V. P. Drachev, and V. M. Shalaev, "Dual-band negative index metamaterial: Double negative at 813 nm and single negative at 772 nm," Opt. Lett., Vol. 32, 1671, 2007.
16. Boltasseva, A. and V. M. Shalaev, "Fabrication of optical negative-index metamaterials: Recent advances and outlook," Metamaterials, Vol. 2, 1, 2008.
17. Zharov, A. A., I. V. Shadrivov, and Y. S. Kivshar, "Nonlinear properties of left-handed metamaterials," Phys. Rev. Lett., Vol. 91, 37401, 2003.
18. Namdar, A., I. V. Shadrivov, and Y. S. Kinshar, "Excitation of backward Tamm states at an interface between a periodic photonic crystal and a left-handed metamaterials," Phys. Rev. A, Vol. 75, 053812, 2007.
19. Yariv, A. and P. Yeh, Optical Waves in Layered Media, Wiley, New York, 1988.
20. Abramowitz, M. and A. S. Stegun, Handbook of Mahematical Function, Dover, New York, 1972.
21. Shadrivov, I. V., A. A. Sukhorukov, and Y. S. Kivshar, "Nonlinear surface waves in left-handed materials," Phys. Rev. E, Vol. 69, 016617, 2004.