New integral equation method for CAD of open waveguide bends

SUMMARYWith a view to contributing to the fundamental theory of the computer-aided design of electron waveguide circuits, the guided-mode extracted boundary integral equation derived earlier by the authors is now extended to three-port Y-branch circuits. The integral equation formulated as a rigorous boundary value problem of the Y-branch circuits can be directly analyzed numerically by using only the boundary element method (moment method) without mode-expansion. If the electron energy is larger or smaller than the external potential of the waveguide, almost identical algorithms can be used for coding. A specific example of the Y-branch electron waveguide with a finite external potential is analyzed and the mathematical validity of the derived integral equation and the effectiveness of the analysis method are studied.

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“…ψ [8,33,34] so that only the result is presented here. For the detailed numerical methods, the literature should be consulted.…”

Section: Guided-mode Extracted Integral Equationmentioning

confidence: 99%

Boundary integral equations for computer‐aided design of Y‐branch circuits of quantum electron waveguide

Katayama

Tanaka

2003

Electron Comm Jpn Pt II

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“…We earlier derived a new form of integral equation, called the guided mode extracted integral equation (GMEIE), for the development of CAD software for optical circuits, and have been studying its applications to the accurate analytical design of optical circuits [10][11][12][13][14]. In this paper, new forms of boundary integral equations are proposed which can be used as a fundamental theoretical basis for the development of CAD for near-field optics.…”

Section: Introductionmentioning

confidence: 99%

Boundary integral equations for computer aided design of near‐field optics

Tanaka

1996

Electron Comm Jpn Pt II

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New forms of boundary integral equations are proposed for computer aided design (CAD) and simulation of near-field optical circuits. These integral equations can be easily solved numerically by using the boundary element method or moment method without using complicated mode-expansion techniques for open waveguide structures. As an example, the new equations are used to design a two-dimensional optical particle manipulator, and the effectiveness and correctness are demonstrated by numerical results.

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Guided-mode extracted boundary integral equations for computer-aided design of quantum electron waveguide circuits

Katayama

Tanaka

2000

Electron. Comm. Jpn. Pt. II

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This paper derives the guided‐mode extracted boundary integral equation (GMEIE) for the basic theory of computer‐aided design of complex electron waveguide circuits. The derived integral equation is amenable to direct numerical analysis by the method of moments (boundary element method) without using the modal expansion. If the electron energy is larger than the external potential of the waveguide so that the electrons are radiated outside the waveguide, the problem can still be coded by using an algorithm almost identical to the one for the case where electrons are trapped inside the waveguide. The characteristics of the two‐port electron waveguide circuit with a finite external potential of the waveguide are analyzed and the mathematical validity of the integral equation as well as the effectiveness of the method are studied. © 2000 Scripta Technica, Electron Comm Jpn Pt 2, 83(6): 43–51, 2000

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New integral equation method for CAD of open waveguide bends

Cited by 13 publications

References 21 publications

Boundary integral equations for computer‐aided design of Y‐branch circuits of quantum electron waveguide

Boundary integral equations for computer‐aided design of Y‐branch circuits of quantum electron waveguide

Boundary integral equations for computer aided design of near‐field optics

Guided-mode extracted boundary integral equations for computer-aided design of quantum electron waveguide circuits

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