Analysis of Accuracy of Scalar Diffraction Theory and Effective Medium Theory for Sinusoidal Grating

WANG Wei-min; RUAN Dong-sheng; JING Xu-feng

doi:10.3788/gzxb20164507.0705001

[1] ALEXEI E, ALEXANDRE F. Investigation of the properties of Bragg-Fresnel grating［J］. Proceedings Society of Photo-Optical Instrumentation Engineers, 2004, 5539: 148-159.

[3] KITAGAWA H, FUJITA M, SUTO T, et al. Green GaInN photonic-crystal light-emitting diodes with small surface recombination effect［J］. Applied Physics Letters, 2011, 98: 181104.

[4] LIU Xuan, HUANG Hai-tao, ZHU He-yuan, et al. Widely tunable, narrow linewidth Tm∶YAG ceramic laser with a volume Bragg grating［J］. Chinese Optics Letters, 2015, 13(3): 061404.

[5] FUJI T, GAO Y, SHARMA R, et al. Increase in the extraction efficiency of GaN-based light-emitting diodes via surface roughening［J］. Applied Physics Letters, 2004, 84(6): 855-857.

[6] CHEN Yun-lin, FAN Tian-wei, TONG Man. Diffractive self-imaging based on selective etching of a ferroelectric domain inversion grating［J］. Chinese Optics Letters, 2015, 13(2): 020502.

[7] LI Li-feng. Multilayer modal method for diffraction gratings of arbitrary profile, depth, and permittivity［J］. Journal of the Optical Society of America A, 1993, 10(12): 2581-2591.

[8] LI Li-feng. New formulation of the Fourier modal method for crossed surface-relief gratings［J］. Journal of the Optical Society of America A, 1997, 14(10): 2758-2767.

[9] MOHARAM M, GAYLORD T. Diffraction analysis of dielectric surface-relief gratings［J］. Journal of the Optical Society of America A, 1982, 72: 1385-1392.

[10] TING C, CHEN C, CHOU C. Subwavelength structures for broadband antireflection application［J］. Optics Communications, 2009, 282(3): 434-438.

[11] CHANDEZON J, DUPUIS M. Multicoated gratings: a differential formalism applicable in the entire optical region［J］. Journal of the Optical Society of America A, 1982, 72(7): 839-846.

[12] HOSHINO T, BANERJEE S, ITOH M, et al. Diffraction pattern of triangular grating in the resonance domain［J］. Journal of the Optical Society of America A, 2009, 26(3):715-722.

[13] LEE T, LIN C, MA S, et al. Analysis of position dependent light extraction of GaN based LEDs［J］. Optics Express, 2005, 13(11): 4175-4179.

[14] POMMET D, MOHARAM M, GRANN E. Limits of scalar diffraction theory for diffractive phase elements［J］. Journal of the Optical Society of America A, 1994, 11(6): 1827-1834.

[15] RAGUIN D, MORRIS G. Analysis of antireflection-structured surfaces with continuous one-dimensional surface profiles［J］. Applied Optics, 1993, 32(14): 2582-2598.

[16] RAGUIN D, MORRIS G. Antireflection structured surfaces for the infrared spectral region［J］. Applied Optics, 1993, 32(7): 1154-1167.

[17] MA Jian-yong, LIU Shi-jie, JIN Yun-xia, et al. Novel method for design of surface relief guided-mode resonant gratings at normal incidence［J］. Optics Communications, 2008, 281(12): 3295-3300.

[19] COWAN J. Aztec surface-relief volume diffractive structure［J］. Journal of the Optical Society of America A, 1990, 7(8): 1529-1544.

[20] BRUNDRETT D, GLYTSIS E, GAYLORD T. Homogeneous layer models for high-spatial-frequency dielectric surface-relief gratings: conical diffraction and antireflection designs［J］. Applied Optics, 1994, 33(13): 2695-2706.

[21] LI Xiu-shan, NING Yong-qiang, ZHANG Xing, et al. Influence of grating parameterson reflectivity of Si/SiO2 high contrast gratings［J］. Chinese Journal of Luminescence, 2015, 36(7): 806-810.

[22] MACLEOD H. Thin film optical filters［M］. Bristol:Institute of Physics Publishing, 2001.