A closed-form solution for Wave Propagation in Optical Waveguides of Longitudinally Invariant Structures without Using Beam Propagation Algorithm

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题名:	A closed-form solution for Wave Propagation in Optical Waveguides of Longitudinally Invariant Structures without Using Beam Propagation Algorithm
作者:	C.S.Hsiao
日期:	2005-06
上传时间:	2010-05-12 01:11:50 (UTC+0)
出版者:	Asia University
摘要:	In this paper, we propose a different method to study wave propagation in longitudinally invariant waveguides with arbitrary index profile. In our method, both the electric field and the refractive index profile are expanded into two Fourier cosine series. With these series substituted into the wave equation, a differential matrix equation can then be obtained. We show here that such a matrix equation can be solved and an explicit expression for the wave field at any longitudinal position along an optical waveguide can be obtained. The solution proposed in this method can thus exclude the use of the beam propagation algorithm. This study demonstrates that our approach yields the same results as those obtained by using commercial softwares in which a beam propagation method with the Pade� approximation is used.
關聯:	Journal of Modern optics 52(9): 1341-1353
显示于类别:	[光電與通訊學系] 期刊論文

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