Combination of beam propagation method and mode expansion propagation method for bidirectional optical beam propagation analysis

Hayashi, Kohtaro; Koshiba, Masanori; Tsuji, Yasuhidé; Yoneta, S.; Kaji, R.

doi:10.1109/50.730368

Cited by 21 publications

(5 citation statements)

References 17 publications

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“…After the complex effective refractive indices of the modes of each section are calculated (real values in the input and output sections), the mode expansion and propagation method [12][13][14] is used to calculate the transition matrix for each interface. This transition matrix provides the relation between the complex amplitude (amplitude and phase) of all modes in the neighboring sections.…”

Section: Modeling Transmission Through the Spr Sensormentioning

confidence: 99%

SPR waveguide sensor based on transition of modes at abrupt discontinuity

Levy¹,

Ruschin²

2007

Sensors and Actuators B: Chemical

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Section: Modeling Transmission Through the Spr Sensormentioning

confidence: 99%

SPR waveguide sensor based on transition of modes at abrupt discontinuity

Levy¹,

Ruschin²

2007

Sensors and Actuators B: Chemical

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“…As in [2]- [5], we consider a planar (2-D) optical junction located inside the domain in the -plane as shown in Fig. 1.…”

Section: Finite-element Formulationmentioning

confidence: 99%

“…The scalar wave equation that models light propagation in is given by (1) with , for TE modes and , for TM modes (2) where and are the components of the electric and magnetic fields, respectively, is the free space wavenumber, is 0733-8724/04$20.00 © 2004 IEEE the refractive index, is the PML thickness, is the distance from the PML interface, and is the theoretical reflection coefficient, [8]. For the PML perpendicular to the y or z axis, , or s and or 1, and for the corner PML, .…”

Section: Finite-element Formulationmentioning

confidence: 99%

PadÉ Boundary Conditions for the Finite-Element Modeling of Arbitrary Planar Junctions

Rubio-Mercedes

Hernández-Figueroa

2004

J. Lightwave Technol.

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Novel boundary conditions based on Padé approximations for the frequency domain two-dimensional/finite element (2-D/FE) simulation of planar optical junctions of arbitrary geometry and number of accessing waveguides are presented and described in detail. This efficient formulation is straightforwardly implemented within the 2-D/FE framework and also can easily be used in finite difference schemes. Three examples show the applicability and reliability of the present method: a waveguide step discontinuity, waveguide transverse displacement and T-shaped beam splitter.

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“…The advantages of BPM are that it can be used on an arbitrary cross-section structure and that both guided and radiative waves are included in the analysis. However, since the formulation is derived with the assumption that the variation of the refractive index is negligible in the transverse direction, FFT-BPM cannot be used on structures with large index discontinuities [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

The Method of Lines Analysis of TE Mode Propagation in Silica based Optical Directional Couplers

Syahriar

Wulandari²,

Lubis³

et al. 2021

J. Eng. Technol. Sci.

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Optical directional couplers fabricated using planar light wave circuit (PLC) technology are versatile tools in integrated photonics devices. They have the advantages of small size, high consistency, ability for high volume production, and excellent possibility to be integrated with electronics circuits. Optical waveguide couplers are mainly utilized as power dividers, optical switches, and wavelength division multiplexers/de-multiplexers (WDM). A number of methods have been used to analyze directional couplers, such as coupled mode theory (CMT), the beam propagation method (BPM), the method of lines (MoL), finite-difference methods (FDM), and finite element methods (FEM). Among these numerical approaches, MoL is the simplest method to analyze mode propagation inside directional couplers because it has the advantages of very fast convergence and accurate solutions for one-dimensional structures. The objective of this study was to analyze the propagation of TE modes in optical directional couplers by using MoL. The parameters used, i.e. waveguide width, refractive index, and wavelength, were taken from the characteristics of silica-on-silicon directional couplers that were used in fabrication. MoL is considered a special finite-difference method, which discretizes a one- or two-dimensional wave equation in the transverse direction and uses an analytical solution for the propagation directions. Basically, MoL is a semi analytical numerical method with the advantages of numerical stability, computational efficiency, and calculation time reduction. Further, we explored the possibility of using directional couplers as optical switching devices.

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Combination of beam propagation method and mode expansion propagation method for bidirectional optical beam propagation analysis

Cited by 21 publications

References 17 publications

SPR waveguide sensor based on transition of modes at abrupt discontinuity

SPR waveguide sensor based on transition of modes at abrupt discontinuity

PadÉ Boundary Conditions for the Finite-Element Modeling of Arbitrary Planar Junctions

The Method of Lines Analysis of TE Mode Propagation in Silica based Optical Directional Couplers

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