Efficient time-domain finite-difference beam propagation methods for the analysis of slab and circularly symmetric waveguides

Shibayama, Jun; Takahashi, Tomokazu; Yamauchi, Junji; Nakano, Hisamatsu

doi:10.1109/50.827518

Cited by 33 publications

(16 citation statements)

References 14 publications

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“…This fact becomes more significant for a higher dimensional problem. Therefore, consideration is next given to the applications of the HABC and C-COM to the 2-D TD-BPM based on the alternating-direction implicit method (ADIM) [15].…”

Section: Discussionmentioning

confidence: 99%

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Comparative study of absorbing boundary conditions for the time-domain beam propagation method

Shibayama

Takahashi²,

Yamauchi³

et al. 2001

IEEE Photon. Technol. Lett.

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Section: Discussionmentioning

confidence: 99%

“…It is found that the C-COMs with three and four boundary cells are comparable to the PMLs with eight and 16 cells, respectively. The effectiveness of the C-COM is also demonstrated for the two-dimensional (2-D) TD-BPM [15].…”

Section: Introductionmentioning

confidence: 99%

Comparative study of absorbing boundary conditions for the time-domain beam propagation method

Shibayama

Takahashi²,

Yamauchi³

et al. 2001

IEEE Photon. Technol. Lett.

Self Cite

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“…Many analyses of such waveguides combine the BPM method with other algorithms to take account of the reflected waves. For instance, FDTD-BPM [1,2], combining the BPM with FDTD method, the bidirectional eigenmode propagation method using the finite element method [3] for a fiber grating, and the time domain BPM method [4] based on the finite element method for a periodic optical waveguide with rectangular cross section, have been applied to cases in which the number of grating periods is comparatively small.…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of lamellar grating type three‐dimensional optical waveguides with periodic structure, using Fourier series expansion method

Momoda

Miyamoto

Yasumoto

2004

Electrical Engineering Japan

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SUMMARYThree-dimensional optical waveguides with periodic structure promise to play an important role in optical IC, and more accurate analysis of such waveguides is required. In this paper, an improved, more accurate Fourier series expansion method for an arbitrary number of grating periods making use of Floquet's theorem is applied to the numerical analysis of lamellar grating-type periodic optical waveguides with rectangular cross section (glass substrate). In the numerical results, the characteristics of the reflected and transmitted powers of the guided and radiation fields versus wavelength are investigated when the depth of the grating grooves and the number of grating periods are varied. The effects of the groove depth and the number of periods on the powers of each mode are elucidated and the appropriate parameters for dominant guided mode propagation in the periodic waveguide are identified.

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“…Many analyses of such waveguides combine the BPM method with another algorithm to take account of the reflected waves. For instance, FDTD-BPM [1,2], combining the BPM with the FDTD method, the bidirectional eigenmode propagation method using the finite element algorithm [3] for a fiber grating, and the time domain BPM method [4] based on the finite element method for a periodic optical waveguide with a rectangular cross section, have been applied to cases in which the number of grating periods is small. In the case of large periods, Floquet's theorem has been introduced into the BPM method based on MOL in order to analyze twodimensional periodic optical waveguides [5].…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis for three‐dimensional optical waveguides with periodic structure using Fourier series expansion method

Miyamoto

Momoda

Yasumoto

2003

Electron Comm Jpn Pt II

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SUMMARYThree-dimensional optical waveguides with an arbitrary cross section and a periodic configuration have been important as optical IC elements. However, it is not always easy to obtain highly accurate solutions for them without respect to the number of periods. In this paper, the Fourier series expansion method, improved for accurate numerical analysis independently of the number of periods introducing Floquet's theorem, is applied to a fiber grating and various thin-film optical waveguides with index-modulation-type periodic structures and rectangular cross sections. The wavelength characteristics of the transmitted and reflected powers of the guided mode and the radiation field are derived at each period (40 to 1000). As a result, the wavelength characteristics of the power are made clear for periodic optical waveguides of embedded type and raised type with a glass or semiconductor substrate, including inhomogeneous cases. The algorithm thus proves to be useful for detailed analysis of various three-dimensional periodic optical waveguides.

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Efficient time-domain finite-difference beam propagation methods for the analysis of slab and circularly symmetric waveguides

Abstract: Abstract-The

Cited by 33 publications

References 14 publications

Comparative study of absorbing boundary conditions for the time-domain beam propagation method

Comparative study of absorbing boundary conditions for the time-domain beam propagation method

Numerical analysis of lamellar grating type three‐dimensional optical waveguides with periodic structure, using Fourier series expansion method

Numerical analysis for three‐dimensional optical waveguides with periodic structure using Fourier series expansion method

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