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An Algorithm for Beam Propagation Method in Matrix Form

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3 Author(s)
Chin-Sung Hsiao ; Dept. of Photonics & Commun. Eng., Asia Univ., Taichung, Taiwan ; Wang, Likarn ; Chiang, Y.J.

A new and efficient method for waveguide field calculation is proposed. In the proposed Fourier cosine beam propagation method, both dispersion and waveguide effects for each propagation interval are treated in a matrix form. Such a calculation method converts the conventional point-by-point analysis skill into a matrix-based one. By using the matrix method, the computing time required for calculating the field evolution is much less than that required by using the commonly used finite-difference beam propagation method. Two y-branches with, respectively, a rib-type and a channel-type cross sections are tested. The numerical results demonstrate the efficiency of the proposed method.

Published in:

Quantum Electronics, IEEE Journal of  (Volume:46 ,  Issue: 3 )

Date of Publication:

March 2010

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