Integral-equation formulation for scattering by dielectric discontinuities along open-boundary dielectric waveguides

Livernois, T.G.; Nyquist, D.P.

doi:10.1364/josaa.4.001289

Cited by 12 publications

(4 citation statements)

References 20 publications

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“…The core half widths of waveguides 1 and 2 are d (1) and d (2), respectively, and the refractive indices of the core and cladding are nl = v/-5~, n2 = 1.0. Only fundamental TE0 mode is supported by the waveguide parameters mentioned above.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Thus, a multi-layer PML medium with variable attenuation factor profile covered by a PEC backing is capable of simulating a reasonably reflectionless and absorptive medium, and lead to an improved boundary condition for FEM analysis of dielectric junction scattering problem, which requires an overall smaller problem domain than an ordinary PEC termination applied considerably farther away from the scatterer to attain the same numerical accuracy. Fig.3 shows the results concerning the reflection and transmission coefficients of the step dielectric waveguide as a function of step ratio d (1)/d (2) . The size of the computational domain is given by in L= x Lz = 8.0 x 1.0 in x and z direction.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…A great number of papers [1][2][3][4][5][6] have been previously published on analysis of discontinuities of dielectric slab waveguides because of their importance in designing millimeter-wave, submillimeter-wave, and optical system in which the discontinuities along wave propagating direction are often introduced to create such components as transformers, grating couplers, and feed structures. They also occur as a consequence of the misalignment in component interconnections.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Implementation of anisotropic PML for frequency domain FEM solution of discontinuity in dielectric waveguide

Qin

Fang

2001

J. of Electron.(China)

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The anisotropic Perfectly Matched Layer(PML) absorbing boundary condition is implemented in a 2-D finite element formulation to solve dielectric waveguide discontinuity problems. The choice of parameters of anisotropic PML has been investigated. Using the boundary truncating technique, the solution process of Finite-Element Method (FEM) has been greatly simplified compared with other hybrid methods. The required computational resources have also significantly declined since the anisotropic PML interface can be placed much closer to the scatterer compared to other well known artificial boundary.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Implementation of anisotropic PML for frequency domain FEM solution of discontinuity in dielectric waveguide

Qin

Fang

2001

J. of Electron.(China)

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“…')'P(•')ds' (80) where G is the dyadic Green's function for the problem. This formulation has been used extensively in scattering problems [Livernois and Nyquist, 1987;Sarkar et al, 1989] but has a major disadvantage in that it requires subsectioning of the cross section with a grid sufficiently fine with respect to the wavelength. Thus it becomes numerically intensive as the frequency increases or in the case of three-dimensional problems.…”

Section: Waveguiding Structuresmentioning

confidence: 99%

Generalized boundary conditions with applications to submillimeter and optical waveguides

Deventer¹,

Katehi²

1996

Radio Science

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In this paper, generalized impedance boundary conditions (GIBC) are derived at an interface between isotropic, homogeneous dielectric media. The advanta•ge of [his technique is that rather than requiring that the tangential components of the E and H fields be continuous over the interface; an equivalent set of boundary conditions involving the electric field and its space derivatives is applied, reducing the problem dimension and therefore the computational needs significantly. The equivalence between the two sets of boundary conditions is validated for the case of an infinite dielectric slab. Finally, an application of the concept of GIBC to the analysis of dielectric waveguiding structures for high-frequency applications is described.

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New integral equation method for CAD of open waveguide bends

Tanaka¹,

Tanaka²,

Tashima³

et al. 1993

Radio Science

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New boundary integral equation method which was previously proposed have been examined in detail and extended to the computer‐aided design (CAD) of asymmetrical dielectric slab waveguide bends. Many numerical results of symmetric waveguide discontinuities and asymmetric waveguide bends confirm the validity of the new method. They show that all numerical results satisfy the energy conservation law within an accuracy of 1% and indicate that the new integral equation method is very suitable for the basic theory or a solver of CAD software for various open dielectric waveguide circuits.

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Integral-equation formulation for scattering by dielectric discontinuities along open-boundary dielectric waveguides

Cited by 12 publications

References 20 publications

Implementation of anisotropic PML for frequency domain FEM solution of discontinuity in dielectric waveguide

Implementation of anisotropic PML for frequency domain FEM solution of discontinuity in dielectric waveguide

Generalized boundary conditions with applications to submillimeter and optical waveguides

New integral equation method for CAD of open waveguide bends

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