Abstract
We present a procedure based on the variational principle to obtain the modal propagation characteristics of single-mode diffused channel waveguides with arbitrary index profiles. The only assumption in our method, in addition to the scalar approximation, is that the trial field is separable along the depth and the width directions. The method is iterative, with each cycle of iteration requiring the solution of two planar waveguide propagation problems. The convergence is usually achieved within 2–3 cycles of iteration. Comparisons with other methods show that our method gives much better accuracy.
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References
J. E. Goell,Bell Syst. Tech. J. 48 (1969) 2133.
E. A. J. Marcatili,Bell Syst. Tech. J. 48 (1969) 2071.
B. M. A. Rahman andJ. B. Davies,J. Lightwave Technol. LT-2 (1984) 682.
K. Bierwirth, N. Schulz andF. Arndt,IEEE Trans. Microwave Theory Techniques MTT-34 (1986) 1104.
C. Yeh, K. Ha, S. B. Dong andW. P. Brown,Appl. Opt. 18 (1979) 1490.
G. B. Hocker andW. K. Burns,Appl. Opt. 16 (1977) 113.
Ch. Pichot,Opt. Commun. 41 (1982) 169.
M. Matsuhara,J. Opt. Soc. Am. 63 (1973) 1514.
H. F. Taylor,IEEE J. Quantum Electron. QE-12 (1976) 748.
R. K. Lagu andR. V. Ramaswamy,IEEE J. Quantum Electron. QE-22 (1986) 968.
N. Schulz, K. Bierwirth, F. Arndt andU. Koster,IEEE Trans. Microwave Theory Techniques MTT-38 (1990) 722.
S. K. Korotky, W. J. Minford, L. L. Buhl, M. D. Divino andR. C. Alferness,IEEE J. Quantum Electron. QE-18 (1982) 1796.
U. Jain, A. Sharma, K. Thyagarajan andA. K. Ghatak,J. Opt. Soc. Am. 72 (1982) 1545.
P. K. Mishra andA. Sharma, Presented at18th Optical Society of India Symposium, Bangalore, India, March 21–23, 1990. Paper no. PIII-4.
A. Sharma, P. K. Mishra andA. K. Ghatak,Proc. 2nd European Conference on Integrated Optics, Italy, 1983, p. 9.
P. K. Mishra, A. Sharma, S. Labroo andA. K. Ghatak,IEEE Trans. Microwave Theory Techniques MTT-33 (1985) 282.
A. Sharma,Opt. Quantum Electron. 21 (1989) 517.
E. Sharma, A. Sharma andI. C. Goyal,IEEE J. Quantum Electron. QE-18 (1982) 1484.
M. Abramowitz andI. A. Stegun,Handbook of Mathematical Functions (Dover Publications, New York, 1965).
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Sharma, A., Bindal, P. An accurate variational analysis of single-mode diffused channel waveguides. Opt Quant Electron 24, 1359–1371 (1992). https://doi.org/10.1007/BF00625812
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DOI: https://doi.org/10.1007/BF00625812