Journal ArticleDOI
TO-FDTD Method for Arbitrary Skewed Periodic Structures at Oblique Incidence
Yicheng Liu,Lihua Shi,Jianbao Wang,Hailin Chen,Qi Lei,Yantao Duan,Qi Zhang,Shangchen Fu,Sun Zheng +8 more
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TLDR
In this article, a finite-difference time-domain (FDTD) method based on the transformation optics theory (TO-FDTD), which can accurately model general periodic structures with arbitrary skewed grids at oblique incidence, is proposed.Abstract:
For accurately modeling general periodic structures with arbitrary skewed grids at oblique incidence, a novel finite-difference time-domain (FDTD) method based on the transformation optics theory (TO-FDTD) is proposed in this article. First, by choosing the appropriate transformation of coordinate and applying the transformation optics theory, the original space of the skewed grid is mapped to the virtual space of the Cartesian grid, and the electromagnetic parameter tensors in the virtual space are known accordingly. Then, based on the covariance of Maxwell’s equations, both the basic difference equations and the boundary conditions of FDTD for the virtual space are derived. After that, the phase delay of the periodic boundary condition caused by the oblique incidence is eliminated by adopting the technique of field transformation, and the final explicit-iterative equations of the TO-FDTD method are obtained as well. At last, some examples are analyzed to verify the numerical properties of the proposed method. The idea of modeling based on the transformation optics theory is not only suitable for skewed periodic structures but also applicable for some ultrathin or (and) curved-surface structures after further expansion.read more
Citations
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Journal ArticleDOI
Generalized Periodic Boundary Conditions for DGTD Analysis of Arbitrary Skewed Periodic Structures
TL;DR: An efficient discontinuous Galerkin time-domain (DGTD) method with an implementation of generalized periodic boundary conditions (PBCs) is proposed to analyze the electromagnetic scattering from arbitrary skewed periodic structures.
Convolutional Implementation and Analysis of the CFS-PML ABC for the FDTD Method Based on Wave Equation
TL;DR: In this paper , the convolutional implementation of the complex frequency shifted perfectly matched layer (CFS-PML) absorbing boundary condition (ABC) is proposed for the finite-difference time-domain (FDTD) method of solving wave equation.
Journal ArticleDOI
Convolutional Implementation and Analysis of the CFS-PML ABC for the FDTD Method Based on Wave Equation
TL;DR: In this article , the convolutional implementation of the complex frequency shifted perfectly matched layer (CFS-PML) absorbing boundary condition (ABC) is proposed for the finite-difference time-domain (FDTD) method of solving wave equation.
Journal ArticleDOI
Efficient Rigorous Coupled-Wave Analysis Without Solving Eigenvalues for Analyzing One-Dimensional Ultrathin Periodic Structures
TL;DR: Based on the first-order Taylor expansion, an efficient Rigorous Coupled-Wave Analysis (RCWA) for one-dimensional ultrathin periodic structures is proposed and can reduce the CPU time of TE polarization and TM polarization by more than 50%.
References
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Journal ArticleDOI
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.
Book
Computational Electrodynamics: The Finite-Difference Time-Domain Method
TL;DR: This paper presents background history of space-grid time-domain techniques for Maxwell's equations scaling to very large problem sizes defense applications dual-use electromagnetics technology, and the proposed three-dimensional Yee algorithm for solving these equations.
Journal ArticleDOI
Controlling Electromagnetic Fields
TL;DR: This work shows how electromagnetic fields can be redirected at will and proposes a design strategy that has relevance to exotic lens design and to the cloaking of objects from electromagnetic fields.
Journal ArticleDOI
Implementation of the periodic boundary condition in the finite-difference time-domain algorithm for FSS structures
P.H. Harms,Raj Mittra,Wai Ko +2 more
TL;DR: In this article, a method for implementing the general Floquet boundary condition in the finite-difference time-domain algorithm (FDTD) is presented, where the Floquet type of phase shift boundary condition is incorporated into the time domain analysis by illuminating the structure with a combination of sine and cosine excitations to generate a phasor representation at each time step.
Journal ArticleDOI
Time-domain analysis of periodic structures at oblique incidence: orthogonal and nonorthogonal FDTD implementations
TL;DR: In this paper, a novel implementation of periodic boundary conditions incorporated into the finite-difference time-domain (FDTD) technique in both orthogonal and nonorthogonal grids is presented.
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