ZHANG Chang-ming, LIU Yong-zhi, ZHANG Xiao-xia, GAN Xiao-yong. The Improvement of Inverse Wentzel-Kramer-Brillouin(WKB) Method[J]. Journal of Applied Optics, 2004, 25(4): 4-8.
Citation: ZHANG Chang-ming, LIU Yong-zhi, ZHANG Xiao-xia, GAN Xiao-yong. The Improvement of Inverse Wentzel-Kramer-Brillouin(WKB) Method[J]. Journal of Applied Optics, 2004, 25(4): 4-8.

The Improvement of Inverse Wentzel-Kramer-Brillouin(WKB) Method

More Information
  • Corresponding author:

    ZHANG Chang-ming

  • The improvement of inverse Wentzel-Kramer-Brillouin(WKB) method for refractive-index profile of a graded-index planar waveguide calculated numerically from the eigenvalue equation under the WKB approximation is extended.The Practicality of this method is demonstrated by application to three types of refractive index distribution(exponetial,Gaussian and step refractive index distribution).The refractive-index profiles caculated from the corresponding effective-index function,which can be found approximately by least-square fitting of a set of measured effective indexes,agree well with the exact profile,The absolute errors of the waveguide surface indexes calculated,with respect to the exact values,are about 0.1%.
  • Related Articles

    [1]HUANG Zhanhua, GAO Yibing, WU Yuanjun, PAN Cheng, LU Changtai, ZHANG Yinxin. Design of diffractive waveguide collimating lens with high optical efficiency in edge field[J]. Journal of Applied Optics, 2024, 45(1): 54-62, 78. DOI: 10.5768/JAO202445.0101008
    [2]Wang Dong, Wu Jianguang, Wang Bin, Huang Xianshan. Analysis of mode field distribution for fundamental and second harmonic light waves in nonlinear optical waveguide[J]. Journal of Applied Optics, 2017, 38(2): 231-236. DOI: 10.5768/JAO201738.0202005
    [3]DUAN Ming-lei, XIAO Qiang, YANG Jin-quan, LIU Cong, WANG Li-jun. Manual-align system for packaging planar opticalwaveguide based on machine vision[J]. Journal of Applied Optics, 2012, 33(6): 1179-1183.
    [4]WANG Xue-jun, LU Ya-xiong, WANG Zhi-gang. Planar optical waveguide mode in biosensing[J]. Journal of Applied Optics, 2008, 29(4): 644-648.
    [5]LI Chen, LIAO Jin-kun, JIANG Ya-dong, LI Wei, LU Rong-guo, HAN Li-kun, GAO Yu. Taylor series expansion method for TM mode of polymer waveguide M-Z modulator[J]. Journal of Applied Optics, 2008, 29(2): 313-316.
    [6]LI Ai-kui, WANG Ze-min, LIU Jia-jun, ZENG Xiao-yan. Preparation of SiO2-TiO2 planar optical waveguide with sol-gel method[J]. Journal of Applied Optics, 2008, 29(2): 293-297.
    [7]LI Jin-hong, DONG Lin-hong, WANG Ze-min, XU De-sheng, ZHU Da-qing, ZENG Xiao-yan. Direct writing of polymer optical waveguides by micro-pen[J]. Journal of Applied Optics, 2007, 28(2): 236-239.
    [8]LIAO Jinkun, LIU YONGZhi1, LIAO Yitao, GAN Xiao-yong, LU Rong-guo. TM mode analysis of Mach-Zenhder waveguidein electro-optical polymer modulators[J]. Journal of Applied Optics, 2006, 27(2): 129-132.
    [9]ZHAO Shi-long, CHEN Bao-yu, HU Jun-jiang, HU Li-li. Effect of post treatment on planar optical waveguide of ionexchanged phosphate glass[J]. Journal of Applied Optics, 2005, 26(6): 32-34.
    [10]CHEN Hai-yan, LIU Yong-zhi. Prediction-Verification Method Determining the Refractive Index Profile for Ion-exchange Planar Waveguide[J]. Journal of Applied Optics, 2004, 25(3): 20-22.

Catalog

    Article views (2860) PDF downloads (1114) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return