Modified Finite-Difference Formula for the Analysis of a Step-Index Waveguide with a Tilted Interface

Yamauchi, Junji; Harada, S.; Kobori, Shingo; Nakano, Hisamatsu

doi:10.1364/ipnra.2009.img6

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2009

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“…To overcome this problem, the authors have proposed a simple FD formula for the analysis of a step-index waveguide with a tilted interface [7], but only the formula for the electric field has been presented. The purpose of this letter is to develop a three-point FD formula, which can be used for the analysis of both electric and magnetic semivector fields.…”

Section: Introductionmentioning

confidence: 99%

Semivector Finite-Difference Formula for the Analysis of a Step-Index Waveguide With a Tilted Interface

Yamauchi

Harada

Kobori

et al. 2009

IEEE Photon. Technol. Lett.

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Abstract-A three-point finite-difference formula is derived for the analysis of a step-index waveguide with a tilted interface. The formula is suitable for the use of the alternating-direction implicit method. Through the analysis of a rib waveguide with a sloped side wall and a hollow triangular waveguide, improvement in accuracy and stability is demonstrated.Index Terms-Alternating-direction implicit method (ADIM), beam-propagation method (BPM), finite-difference (FD) formula.

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Section: Introductionmentioning

confidence: 99%