Modified Smooth Transition Method for Determination of Complex Modes in Multilayer Waveguide Structures

Khalatpour, Ali; Mu, Jianwei; Moussakhani, Kaveh; Huang, Wei‐Ping

doi:10.1109/jlt.2010.2066548

Cited by 3 publications

(1 citation statement)

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“…The field inside the ith layer of this multilayer waveguide structure is given by [25,26] ϕ m x a i e −jκ i x−x i a − i e jκ i x−x i ; Here, ϕ m x indicates the mth transverse electric field E my for TE modes or the mth transverse magnetic field H my for TM modes, k 0 is the wave number in vacuum, and n eff;m is the modal effective index of the mth mode. a i and a − i are the amplitude coefficients of the forward () and backward (−) waves at the incident interface of the ith layer, respectively, and b i and b − i are the amplitude coefficients of the forward () and backward (−) waves at the exit interface of the ith layer, respectively.…”

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Insights into complex Berenger modes: a view from the weighted optical path distance perspective

Liang

et al. 2014

Opt. Lett.

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We present a simple and efficient approach for higher-order Berenger mode computation. We establish the physical mapping between radiation modes and complex Berenger modes, and theoretically prove that the higher-order substrate Berenger modes and cladding Berenger modes can converge to a cluster of complex modes with the same phase angle. This model can be explained by weighted optical path distance in both cladding and substrate, and can be implemented by adjusting parameters of perfectly matched layers. A germanium (Ge) photodetector is utilized to evaluate the merits of this method in terms of robustness, efficiency, and accuracy.

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confidence: 99%