From scattering or impedance matrices to Bloch modes of photonic crystals

作者: Boris Gralak , Stefan Enoch , Gérard Tayeb

DOI: 10.1364/JOSAA.19.001547

关键词:

摘要: … (22)], we use in this section the S matrix. Our code uses the Fourier modal method[24] to obtain the S matrix. This formulation takes care of the product of truncated Fourier series in …

参考文章(27)
Shawn-yu Lin, JG Fleming, DL Hetherington, BK Smith, R Biswas, KM Ho, MM Sigalas, W Zubrzycki, SR Kurtz, Jim Bur, None, A three-dimensional photonic crystal operating at infrared wavelengths Nature. ,vol. 394, pp. 251- 253 ,(1998) , 10.1038/28343
P. Vincent, M. Nevière, Corrugated dielectric waveguides: A numerical study of the second-order stop bands Applied Physics. ,vol. 20, pp. 345- 351 ,(1979) , 10.1007/BF00895008
S.-E. Sandström, G. Tayeb, R. Petit, Lossy multistep lamellar gratings in conical diffraction mountings: an exact eigenfunction solution Journal of Electromagnetic Waves and Applications. ,vol. 7, pp. 631- 649 ,(1993) , 10.1163/156939393X00778
D. M. Whittaker, Inhibited emission in photonic woodpile lattices. Optics Letters. ,vol. 25, pp. 779- 781 ,(2000) , 10.1364/OL.25.000779
Boris Gralak, Stefan Enoch, Gérard Tayeb, Anomalous refractive properties of photonic crystals Journal of the Optical Society of America A. ,vol. 17, pp. 1012- 1020 ,(2000) , 10.1364/JOSAA.17.001012
L. Botten, N. Nicorovici, R. McPhedran, C. Sterke, A. Asatryan, Photonic band structure calculations using scattering matrices. Physical Review E. ,vol. 64, pp. 046603- 046603 ,(2001) , 10.1103/PHYSREVE.64.046603
Lifeng Li, Formulation and comparison of two recursive matrix algorithms for modeling layered diffraction gratings Journal of The Optical Society of America A-optics Image Science and Vision. ,vol. 13, pp. 1024- 1035 ,(1996) , 10.1364/JOSAA.13.001024
D Maystre, Electromagnetic study of photonic band gaps Pure and Applied Optics: Journal of The European Optical Society Part A. ,vol. 3, pp. 975- 993 ,(1994) , 10.1088/0963-9659/3/6/005
A. Modinos, N. Stefanou, Vassilios Yannopapas, Applications of the layer-KKR method to photonic crystals. Optics Express. ,vol. 8, pp. 197- 202 ,(2001) , 10.1364/OE.8.000197
J.B. Pendry, Photonic Band Structures Journal of Modern Optics. ,vol. 41, pp. 209- 229 ,(1994) , 10.1080/09500349414550281