Scattering-matrix treatment of patterned multilayer photonic structures

作者: D. M. Whittaker , I. S. Culshaw

DOI: 10.1103/PHYSREVB.60.2610

关键词: OpticsBoundary value problemReflection (physics)WaveguideScatteringPhotonicsWave propagationMaterials scienceOptoelectronicsElectromagnetic radiationEmission spectrum

摘要: We present calculations of surface reflectivity and emission spectra for multilayer dielectric waveguides with a two-dimensional patterning deep holes. The are obtained using scattering-matrix treatment to propagate electromagnetic waves through the structure. This incorporates, in natural way, extended boundary conditions necessary describe external reflection processes. calculated demonstrate how such measurements can be used obtain experimental information about waveguide photonic band structure, coupling scattering modes fields, field distribution within waveguide.

参考文章(14)
Thomas F. Krauss, Richard M. De La Rue, Stuart Brand, Two-dimensional photonic-bandgap structures operating at near-infrared wavelengths Nature. ,vol. 383, pp. 699- 702 ,(1996) , 10.1038/383699A0
M. Plihal, A. A. Maradudin, Photonic band structure of two-dimensional systems: The triangular lattice Physical Review B. ,vol. 44, pp. 8565- 8571 ,(1991) , 10.1103/PHYSREVB.44.8565
Robert D. Meade, Karl D. Brommer, Andrew M. Rappe, J. D. Joannopoulos, Existence of a photonic band gap in two dimensions Applied Physics Letters. ,vol. 61, pp. 495- 497 ,(1992) , 10.1063/1.107868
Kazuaki Sakoda, Transmittance and Bragg reflectivity of two-dimensional photonic lattices Physical Review B. ,vol. 52, pp. 8992- 9002 ,(1995) , 10.1103/PHYSREVB.52.8992
D. M. Atkin, P. St. J. Russell, T. A. Birks, P. J. Roberts, Photonic band structure of guided bloch modes in high index films fully etched through with periodic microstructure Journal of Modern Optics. ,vol. 43, pp. 1035- 1053 ,(1996) , 10.1080/09500349608233264
M.D.B. Charlton, S.W. Roberts, G.J. Parker, Guided Mode Analysis and Fabrication of a 2-Dimensional Visible Photonic Band Structure Confined within a Planar Semiconductor Waveguide Materials Science and Engineering B-advanced Functional Solid-state Materials. ,vol. 49, pp. 155- 165 ,(1997) , 10.1016/S0921-5107(97)00102-5
Shanhui Fan, Pierre R. Villeneuve, J. D. Joannopoulos, E. F. Schubert, High Extraction Efficiency of Spontaneous Emission from Slabs of Photonic Crystals Physical Review Letters. ,vol. 78, pp. 3294- 3297 ,(1997) , 10.1103/PHYSREVLETT.78.3294
S. L. Chuang, J. A. Kong, Wave scattering and guidance by dielectric waveguides with periodic surfaces Journal of the Optical Society of America. ,vol. 73, pp. 669- 679 ,(1983) , 10.1364/JOSA.73.000669
D. Rosenblatt, A. Sharon, A.A. Friesem, Resonant grating waveguide structures IEEE Journal of Quantum Electronics. ,vol. 33, pp. 2038- 2059 ,(1997) , 10.1109/3.641320
David Yuk Kei Ko, J. C. Inkson, Matrix method for tunneling in heterostructures: Resonant tunneling in multilayer systems. Physical Review B. ,vol. 38, pp. 9945- 9951 ,(1988) , 10.1103/PHYSREVB.38.9945