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Index profiles: TE mode solutions

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2 Author(s)
Likarn Wang ; Dept. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu, Taiwan ; Huang, N.

This letter presents a novel method to study one-dimensional waveguide problems in which the profiles of the refractive index are arbitrary. In the proposed method, distributions of both the refractive index and electric field are expanded into finite-term Fourier cosine series. A particular matrix is then formed by the Fourier spectral amplitudes that correspond to the refractive-index distribution. The eigenvalues and the eigenvectors of such a matrix correspond to the mode indices and the electric field distribution, respectively, in the waveguide considered herein. TE mode solutions are obtained for a step-index structure and an inhomogeneous structure. It is found that quite accurate results can be obtained by this proposed method

Published in:

Quantum Electronics, IEEE Journal of  (Volume:35 ,  Issue: 9 )