Effective Refractive Index of a Finite One-Dimensional Photonic Crystal

CHU Bo-wen; ZHAO Li-ming; ZHAO Jing

doi:10.3788/gzxb201039s1.0048

[1] YABLONOVITCH E.Inhibited spontaneous emission in solid-state physics and electronics［J］.Physical Review Letters,1987,58(20):2059-2062.

[2] JOHN S.Strong localization of photons in certain disordered dielectric superlattices［J］.Physical Review Letters,1987,58(23):2486-2489.

[3] SCALORA M,DOWLING J P,BOWDEN C M,et al.Optical limiting and switching of ultrashort pulses in nonlinear photonic band gap materials［J］.Physical Review Letters,1994,73(10):1368-1371.

[4] DOWLING J P,SCALORA M,BLOEMER M J,et al.The photonic band edge laser:a new approach to gain enhancement［J］.Journal of Applied Physics,1994,75(4):1896-1899.

[5] SCALORA M,BLOEMER M J,MANKA A S,et al.Pulsed second-harmonic generation in nonlinear,one-dimensional,periodic structures［J］.Physical Review A,1997,56(4):3166-3174.

[6] KNIGHT J C,BIRKES T A,RUSSEL P,et al.Properties of photonic crystal fiber and the effective index model ［J］.JOSA A,1998,15(3):748-752.

[7] MA Yang-hua,ZHAO Jian-lin,WANG Wen-li,et al.Optimum phase matching for SHG in biaxial crystals ［J］.Acta Physica Sinica,2005,54(5):2084-2089.

[8] DUMEIGE Y,VIDAKOVIC P,SAUVAGE S,et al.Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap［J］.Applied Physics Letters,2001,78(20):3021-3023.

[9] SCALORA M,BLOEMER M J,MANKA A S,et al.Pulsed second-harmonic generation in nonlinear,one-dimensional,periodic structures［J］.Physical Review A,1997,56(4):3166-3174.

[10] CENTINI M,SIBILIA C,SCALORA M,et al.Dispersive properties of finite,one-dimensional photonic band gap structures:applications to nonlinear quadratic interactions［J］.Physical Review E,1999,60(4):4891-4898.

[11] YANG H,XIE P,CHAN S K,et al.Efficient second harmonic generation from large band gap II-VI semiconductor photonic crystal［J］.Applied Physics Letters,2005,87(13):131106-131108.

[12] CENTINI M,AGUANNO G D,SCISCIONE L,et al.Non-phase-matched enhancement of second-harmonic generation in multilayer nonlinear structures with internal reflections［J］.Optics Letters,2004,29(16):1924-1926.

[13] LISCIDINI M,LOCATELLI A,ANDREANI L C,et al.Maximum-exponent scaling behavior of optical second-harmonic generation in finite multilayer photonic crystals［J］.Physical Review Letters,2007,99(5):3907-3911.

[14] BLOEMBERGEN N,SIEVERS A J.Nonlinear optical properties of periodiclaminarstructures［J］.Applied Physics Letters,1970,17(11):483-486.

[15] BENDICKSON J M,DOWLING J P,SCALORA M.Analytic expressions for the electromagnetic mode density in finite,one-dimensional,photonic band-gap structures［J］.Physical Review E,1996,53(4):4107-4121.

[16] YEH P,YARIV A,HONG C.Electromagnetic propagation in periodic stratified media.I.general theory［J］.JOSA,1977,67(4):423-438.