Analysis of arbitrary index profile planar optical waveguides and multilayer nonlinear structures: A simple finite difference algorithm

Optical and Quantum Electronics

Volumn 39, Issue 3, 2007, Pages 221-237

  Chaudhuri, Partha Roy ^a   Roy, Sourabh ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY   (India)

Author keywords

Arbitrary index profile; Finite difference; Mode calculation; Nonlinear; Planar waveguide

Indexed keywords

ARBITRARY INDEX PROFILE; MODE CALCULATION;

ALGORITHMS; MATRIX ALGEBRA; PLANAR WAVEGUIDES; PROBLEM SOLVING;

OPTICAL WAVEGUIDES;

EID: 34547250851     PISSN: 03068919     EISSN: 1572817X     Source Type: Journal    
DOI: 10.1007/s11082-007-9076-6     Document Type: Article

References (33)

1. Benson, T.M., Kendall, P.C., Stern, M.S., Quinney, D.A.: New results for wave guide propagation constants. TEE Proc. 136, 97-102 (1989)
2. Benerjee, S., Sharma, A.: Propagation characteristics of optical wave guiding structure by direct solution of Helmotz equation for total fields. J. Opt. Soc. Am. A 6, 1884-1894 (1989)
3. Chiang, K.S.: Review of numerical and approximate methods for modal analysis of general dielectric waveguides. Opt. Quantum Electron. 26, S113-S134 (1994)
4. Chung, Y., Dagli, N.: An assessment of finite difference beam propagation method. IEEE J. Quantum Electron. 26, 1335-1339 (1990)
5. Conwell, E.M.: Modes in optical waveguides formed by diffusion. Appl. Phys. Lett. 23, 328-329 (1973)
6. Ghatak, A.K., Thyagarajan, K.: Introduction to Fiber Optics, pp. 518-519. Cambridge University Press (Ch. 24)(1999)
7. Ghatak, A.K., Thyagarajan, K.: Optical Electronics, pp. 315-358. Cambridge University Press (Ch. 11 & 12) (2002)
8. Goyal, I.C., Gallawa, R.L., Ghatak, A.K.: An approximate solutions to the wave equations revisited. 1. Electromagnetic Waves Appl. 5, 623-636 (1991)
9. Gupta, A.R.: Optimisation of access waveguide width of multimode interference (MMT) couplers. Opt. Commun. 221, 99-103 (2003)
10. Hamiltoin, C.J., Marsh, J.H., Hutchings, D.C., Aitchison, J.S., Kennedy, G.T., Sibbett, W.: Localised Kerr-type nonlinearities in GaAs/AlGaAs multiple quantum well structure at 1.55 μm. Appl. Phys. Lett. 68, 3078-3080(1996)
11. Huang W.P. (ed.): Methods for modelling and simulation of guided wave optoelectronic devices: part-T. Modes and coupling. In: Progress in Electromagnetic Research. EMW Publishing Company, Cambridge, MA (1995)
12. Huang, C.-C., Huang, C.-C., Yang, J.-Y.: An efficient method for computing optical Waveguides with discontinuous refractive index profile using spectral collocation method with domain decompotion. J. Lightwave Technol. 21, 2284-2296 (2003)
13. Ikuno, H., Yata, A.: Uniform asymptotic technique for analysing wave propagation in inhomogeneous slab waveguides. Quantum Electron. 30, 1958-1963 (1982)
14. Kawano, K., Kitoh, T. : Introduction to Optical Waveguide Analysis. Wiley, NewYork (Ch. 4) (2001)
15. Knox, R.M., Toulious, P.P.: Integrated circuits for millimetre waves through optical frequency range. In: Fox, J. (ed.) The Proceedings of the MRI Symposium on Submillimeter Waves, pp. 497-516. Polytechnique Press, Brooklyn New York (1970)
16. Kogelnik, H. : Theory of dielectric waveguides. In: Tamir, T. (ed.) Integrated Optics, pp. 55-57. Springer-Verlag, New York (1997)
17. Kozaki, S., Ohki, M., Sasaki, T., Sakura, H., Motojima, K.: Technique for calculation of the propagation constant in an optical waveguide with the Gaussian profile. Appl. Opt. 40, 2493-2495 (2001)
18. Noro, H., Nakyama, T.: A new approach to scalar and semivector mode analysis of optical waveguide. J. Lightwave Technol. 14, 1546-1556 (1996)
19. Robson, P.N., Kendall, P.C. (ed.): Rib waveguide theories by spectral index method, optoelectronics series. Research Studies Press Ltd., New York, Wiley (1990)
20. Robeitson, M.J., Kendall, P.C., Ritchie, S., McILroy, P.W.A., Adams, M.J.: The weighted index method: A new technique for analysing planai-optical waveguides. J. Lightwave Technol. 7, 2105-2111 (1989)
21. Seaton, C.T., Valera, J.D., Shoemaker, R.L., Stegeman, G.I., Chilwell, J.T., Smith, D.: Calculations of nonlinear TE waves guided by thin dielectric films bounded by nonlinear media. Quantum Electron. 21, 774-783 (1985)
22. Sharma, A., Banerjee, S.: Method for propagation of total fields or beams through optical waveguides. Opt. Lett. 14, 96-98 (1989)
23. Snyder, A.W., Love, J.D.: Optical Waveguide Theory. Chapman and Hall, London (1983)
24. Soldano, L.B., Pennings, E.C.M.: J. Lightwave Technol. 13, 615-627 (1995)
25. Stern, M.S.: Semivectorial polarised finite difference method for optical waveguides with arbitrary index profiles. IEE Proc. J. Optoelectron. 135, 56-63 (1988)
26. Vach, H., Stegeman, G.I., Seaton, C.T., Khoo, I.C.: Observation of intensity dependent guided waves. Opt. Lett. 9, 238 (1984)
27. Varshney, R.K., Kumar, A.: A simple and accurate modal analysis of strip-loaded optical waveguides with various index profiles. J. Lightwave Technol. 6, 601-606 (1988)
28. Wongcharoen, T., Rahman, B.M.A., Grattan, K.T.V.: Electro-optic directional coupler switch characterisation. J. Lightwave Technol. 15, 377-382 (1997)
29. Wu, Y.D.: Analyzing multilayer optical waveguides with a localised arbitrary nonlinear guiding film. Quantum Electron. 40, 258-240 (2004)
30. Wu, Y.D., Chen, M.H., Chu, C.H.: All-optical logic device using bent nonlinear tapered Y-junction waveguide structure. Fiber Integr. Opt. 20, 517-524 (2001)
31. Wu, Y.D., Chen, M.H.: Method for analyzing multilayer nonlinear optical waveguide. Opt. Express 13, 79827996 (2005)
32. Xu, W., Wang, Z.-H., Huang, Z.-M.: Propagation constant of a planar dielectric waveguide with arbitrary refractive-index variation. Opt. Lett. 18, 805-807 (1993)
33. Zhu, Z., Thomas, G.B.: Full-vectorial finite difference analysis of microstructured optical fibers. Opt. Express 10, 854-864 (2002)