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An adaptive finite volume method for the diffraction grating problem with the truncated DtN boundary condition
In this paper, we develop a adaptive finite volume method with the truncation of the nonlocal boundary operators for the wave scattering by periodic...
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Comparing and Clustering Residential Layouts Using a Novel Measure of Grating Difference
Clustering is widely used as a knowledge discovery method in scientific studies but is not often used in architectural research. This paper applies...
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Finite Element Methods
This chapter is concerned with numerical solutions of the grating problems which are discussed in Chaps. 2...
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Near-Field Imaging
This chapter addresses numerical solutions of the inverse grating problems in the context of near-field imaging. The inverse grating problems belong...
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Integral transforms involving orthogonal polynomials and its application in diffraction of cylindrical Waves
In this paper, we investigate integral transforms involving the product of the Bessel function of the first kind and orthogonal polynomials with the...
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Computationally Efficient Algorithm for Designing Multilayer Dielectric Gratings
AbstractA new computationally efficient algorithm for designing multilayer dielectric gratings (MDG) is developed based on the previously proposed...
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Inverse Eigenvalue Problems
Inverse eigenvalue problems are not only interesting in their own right, but also have important practical applications. We recall the fundamental...
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Wave Properties of Double One-Dimensional Periodic Sheet Grating
We show that the double one-dimensional periodic sheet gratings always have waveguide properties for acoustic waves. In general, there are two types...
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Image Feature Narrator for the Blind
There are millions of visually impaired people in the world. The quality of life of visually impaired people is greatly affected by their inability...
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Related Topics
The recent explosion of applications from optical and electromagnetic scattering in periodic structures has driven the need for modeling more...
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On the Properties of Quasi-periodic Boundary Integral Operators for the Helmholtz Equation
We study the map** properties of boundary integral operators arising when solving two-dimensional, time-harmonic waves scattered by periodic...
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Mind and Brain
What sort of things are brains good at dealing with? The argument put forward here is that they are adept at handling low-dimensional dynamical...
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Applications, and Miscellaneous Issues
Some allusions or brief discussions concerning applications of GLMTs have already been provided (and will not be necessarily repeated here). This...
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BIE model of periodic diffraction problems in optics
Optical diffraction on a periodical interface belongs to relatively lowly exploited applications of the boundary integral equations method. This...
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A New Method of Modelling Tuneable Lasers with Functional Composition
A new nonlinear model is proposed for tuneable lasers. Using the generalized nonlinear Schrödinger equation as a starting point, expressions for the...
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Cortical Divisive Normalization from Wilson–Cowan Neural Dynamics
Divisive Normalization and the Wilson–Cowan equations are well-known influential models of nonlinear neural interaction (Carandini and Heeger in Nat...
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Talbot effect on the sphere and torus for \(d\ge 2\)
We utilize exponential sum techniques to obtain upper and lower bounds for the fractal dimension of the graph of solutions to the linear Schrödinger...
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Longitudinal flow in superhydrophobic channels with partially invaded grooves
Analytical expressions are derived for the longitudinal flow in a superhydrophobic microchannel where flat menisci in the Cassie state have partially...
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Numerical Solution of the Direct Zakharov–Shabat Scattering Problem
ABSTRACTA numerical solution of the direct scattering problem for the system of Zakharov–Shabat equations is considered. Based on the...
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Skeletons, Shapes, and the Shift from Surface to Structure in Architectural Geometry
Architects who digitally manipulate geometry confront a rift between what is being displayed on the screen (metric shapes) and what is being computed...
