[1] [1] Ulrich R,Ankede G.Self-imaging in homogenous planar optical waveguides.Appl Phys Lett, 1975,27(6):337～339

[2] [2] Lucas B,Soldano,Erik C M. Pennings, Optical multi-mode interference devices based on self-imaging: principles and applications.Journal of Lightwave Technology, 1995,13(4): 615～627

[3] [3] Bachmann,Besse P A,Melchier H.General self-imaging properties in N×N multimode interference couplers including phase relations.Appl Opt, 1994,33(18): 3905～3911

[4] [4] Bachmann,Besse P A,Melchier M.Overlapping-image multimode interference couplers with a reduced number of self-images for uniform and nonuniform power splitting.Appl Opt, 1995,34(3):6898～6910

[5] [5] Sun Yiling, Yang Jianyi, Wang Minhua.Design of 1×4 optical splitter in GaAs.Acta Photonica Sinica, 1997,26(Z1):257～261

[6] [6] Sun Fei, Liu Runmin, LiGuozheng,et al.Calculation of length of MMI region in gradient profile, MMI devices.Semiconductor Optoelectrinics, 2000,21(5): 369～373

[7] [7] Bellman R,Analytic Number Theory.Benjamin Cummings, USA, 1980.84～86

[8] [8] Jiang Xiaoqing , Ma Huilian , Mao Huiling ,et al.Asymmetrical self-imaging effects of MMI devices with two-dimensional confinement.Chinese Journal of Laser, 2002, 29(3):253～256