LIAO Jin-kun, TANG Xiong-gui, GAO yuan etc. Polarized Correction of Dispersion Characteristics of TM Modes in Polymer Optical Rib Waveguides[J]. Chinese Journal of Luminescence, 2015,36(5): 526-533
LIAO Jin-kun, TANG Xiong-gui, GAO yuan etc. Polarized Correction of Dispersion Characteristics of TM Modes in Polymer Optical Rib Waveguides[J]. Chinese Journal of Luminescence, 2015,36(5): 526-533 DOI: 10.3788/fgxb20153605.0526.
Polarized Correction of Dispersion Characteristics of TM Modes in Polymer Optical Rib Waveguides
The dispersion characteristics of organic/polymer optical rib waveguide affect the performances of polymer photonic devices greatly. In this paper
the effective refractive index of optical rib waveguide was calculated by scalar variational formula
and the distribution of optical field used was obtained by using effective index method (EI) approximately. Considering the transverse variations of refractive index distribution and based on the vector wave equation governing the guided modes
the effective index obtained by scalar variational formula (VEI) was modified by perturbation method (PM) for precise dispersion characteristics. The dispersion characteristics of the fundamental and higher order modes were analyzed for polymer multimode rib waveguides. An approach was provided to investigate the effect of the structure parameters and dimensions on the polarized dispersion characteristics of the fundamental and higher order modes for TM
TE modes. The polarized dispersion characteristics of single mode waveguide were analyzed for TM
TE fundamental modes. It is demonstrated that the dispersion characteristics of TM mode obtained by eigenvalue equation must be modified duo to the large error
and the error for TE mode is small relatively.
关键词
Keywords
references
Dalton L R, Sullivan P A, Bale D H. Electric field poled organic electro-optic materials:State of the art and future prospects [J]. Chem. Rev., 2010, 110:25-55.
Cox C H, Ackerman E I. High electro-optic sensitivity (r33) polymers:They are not for low voltage modulators any more [J]. J. Phys. Chem. B, 2004, 108:8540-8542.
Steier W H, Chen A T, Lee S S, et al. Polymer electro-optic devices for integrated optics [J]. Chem. Phys., 1999, 254:487-506.
Li G L, Yu P K L. Optical intensity modulators for digital and analog applications [J]. IEEE J. Light. Technol., 2003, 21(9):2010-2030.
Chen A T, Sun H S, Szep A, et al. Achieving higher modulation effeciency in electrooptic polymer modulator with slotted silicon waveguide [J]. IEEE J. Light. Technol., 2011, 29(21):3310-3318.
Huang H, Nuccio S R, Yue Y, et al. Broadband modulation performance of 100-GHz EO polymer MZMs [J]. IEEE J. Light. Technol., 2012, 30(23):3647-3652.
Lim T K, Melchior H. Effective index method for generalised waveguide dispersion characteristics analysis of optical channel waveguide [J]. Electron. Lett., 1991, 27(11):917-918.
Robertson M J, Ritchie S, Dayan P. Semiconductor waveguides:Analysis of optical propagation in single rib structures and directional coupklers [J]. IEEE Proc., 1985, 132(6):336-342
Huas H A, Huang W P, Whitaker N W. Optical waveguide dispersion characteristics from the scalar equation [J]. IEEE J. Light. Technol., 1987, 5(12):1748-1754.
Huang W P, Huas H A. A simple variational approach to optical rib waveguides [J]. IEEE J. Light. Technol., 1991, 9(1):56-61.
Benson T M, Kendall P C, Matin M A. Simple variational approach to optical rib waveguide analysis [J]. Electron. Lett., 1992, 28(2):1897-1898.
Popescu V A. Higher-order variational analysis of finitely clad optical waveguides [J]. J. Optoeletron. Adv. Mater., 2008, 10(10):2532-2538.
Liao J K, Tang X G, Lu R G, et al. Variational effective index analysis of polymer rib optical waveguide [J]. Acta Opt. Sinica (光学学报), 2008, 28(12):2267-2271 (in Chinese).
Zhang G Q, Lin Y Q. Lectures on Functional Analysis [M]. Beijing:Peking University Press, 2009.
Chen S X, Hong J X. Modern Methods in Partial Differential Equations [M]. Shanghai:Fudan University Press, 1988.
Benson T M, Kendall P C, Matin M A, et al. Polarised modes of semiconductor rib waveguides [J]. Electron. Lett., 1991, 27(16):1488-1489.
Park S, Ju J J, Do J Y, et al. Thermal bias operation in electro-optical polymer modulators [J]. Appl. Phys. Lett., 2011, 83:827-829.
Soref R A, Schmidtchen J, Petermann K. Large single-mode rib waveguides in GeSi-Si and Si-on-SiO2 [J]. IEEE J. Quant. Electron., 1991, 27(8):1971-1974.
Pogossian S P, Vescan L, Vonsovici A. The single-mode condition for semiconductor rib waveguides with large cross section [J]. IEEE J. Light. Technol., 1998, 91(10):1851-1853.
Thapliya R, Kikuchi T, Nakamura S. Tunable power splittter based on an electro-optic multimode interference device [J]. Appl. Opt., 2007, 46:4155-4161.
Kawano K, Kitoh T. Introduction to Optical Waveguide Analysis:Solving Maxwell's Equations and The Schrdinger Equation[M]. USA:John Wiley & Sons, Inc., 2001.