Abstract
To get the scattering loss of the trapezoidal core waveguide, a new analysis model is presented based on the perturbation equivalent method and modified effective-index method. Firstly, the trapezoidal core waveguide is successfully equivalent to the rectangular one with both restricting the same optical field energy by adopting the perturbation method. Then, the equivalent rectangular core waveguide is decomposed into two slab waveguides by employing the modified effective-index method. The trapezoidal core waveguide scattering theory model is established based on the slab waveguide scattering theory. With the sidewalls surface roughness in the range from 0 to 100 nm in the single model trapezodial core waveguide, optical simulation shows excellent agreement with the results from the scattering loss model presented. The relationship between the dimension and side-wall roughness with the scattering loss can be determined in the trapezoidal core waveguide by the scattering loss model.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
LEE K K, LIM D R, LUAN H C, AGARWAL A, FORESI J, KIMERLING L C. Effect of size and roughness on light transmission in a Si/SiO2 waveguide: Experiment and model [J]. Applied Physics Letters, 2000, 77(1): 1617–1619.
KUAN P Y, ANDRÉ D, JEAN L, BORIS L, JENS H S, PHILIP W, BARRY A S, SIEGFRIED J. Correlation of scattering loss, sidewall roughness and waveguide width in silicon-on-insulator (SOI) ridge waveguides [J]. Journal of Lightwave Technology, 2009, 27(8): 3999–4008.
BARWICZ T, HAUS H A. Three-dimensional analysis of scattering losses due to sidewall roughness in microphotonic waveguides [J]. Journal of Lightwave Technology, 2005, 23(9): 2719–2732.
GRILLOT F, VIVIEN L, LAVAL S, PASCAL D, CASSAN E. Size influence on the propagation loss induced by sidewall roughness in ultrasmall SOI waveguides [J]. IEEE Photonics Technology Letters, 2004, 16(7): 1661–1663.
KEHINDE O L D, FRANK P P. Impact of waveguide sidewall roughness on the output uniformity and phase of MMI splitters [J]. Opt Quant Electron, 2008, 40: 863–873.
LADOUCEUR F, LOVE J D, SENDEN T J. Effect of side wall roughness in buried channel waveguides [J]. IEE Proc-Optoelectron, 1994, 141(4): 242–248.
HUANG B, CHEN J, JIANG W S. Effects of surface roughness on the modes in rectangular core waveguide [J]. Journal of Infrared Milli Terahz Waves, 2009, 30: 717–726.
SPARACIN D K, SPECTOR S J, KIMERLING L C. Silicon waveguide sidewall smoothing by wet chemical oxidation [J]. Journal of Lightwave Technology, 2005, 23(8): 2455–2461.
TSAO S L, WU J S, HER Y L. Triangular-element finite-element analysis of a trapezoid polymer optical waveguide [J]. Microwave and Optical Technology Letters, 1997, 15(2): 87–89.
GALLAGHER J G. Mode dispersion of trapezoidal cross-section dielectric optical waveguides by the effective-index method [J]. Electronics Letters, 1979, 15(23): 734–735.
AHMED A A. An optimal method to study the propagation characteristics of rectangular optical waveguides [C]// 15th National Radio Science Conference. Egypt, 1998: 1–6.
CHIANG K S, KWAN C H, LO K M. Effective-index method with built-in perturbation correction for the vector modes of rectangular-core optical waveguides [J]. Journal of Lightwave Technology, 1999, 17(4): 716–722.
CLARK D F, DUNLOP I. Method for analysing trapezoidal optical waveguides by an equivalent rectangular rib waveguide [J]. Electronics Letters, 1998, 24(23): 1414–1415.
ZHAO Shan. High order matched interface and boundary methods for the Helmholtz equation in media with arbitrarily curved interfaces [J]. Journal of Computational Physics, 2010, 229: 3155–3170.
KIM C M, JUNG B G, LEE C W. Analysis of dielectric rectangular core waveguide by modified effective-index method [J]. Electronics Letters, 1986, 22(6): 296–297.
PAYNE F P, LACEY J P R. A theoretical analysis of scattering loss from planar optical waveguides [J]. Optical and Quantum Electronics, 1994, 26: 977–986
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: Project(50735007) supported by the National Natural Science Foundation of China; Project(2010ZX04001-151) supported by Important National Science & Technology Specific Program of China
Rights and permissions
About this article
Cite this article
Peng, Wq., Wu, Yl., Liu, Y. et al. Scattering loss in optical waveguide with trapezoidal cross section. J. Cent. South Univ. Technol. 19, 1317–1321 (2012). https://doi.org/10.1007/s11771-012-1144-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11771-012-1144-9