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Analysis of perpendicular crossing dielectric waveguides with various typical index contrasts and Progress
 In Electromagnetics Research
"... Abstract—We present a rigorous 2D numerical study of the transmission, reflection and crosstalk coefficients of the perpendicular, identical dielectric crossing waveguide with various corecladding index contrasts for both TE and TM polarizations. Our method is based on a hybrid frequencydomain fin ..."
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Abstract—We present a rigorous 2D numerical study of the transmission, reflection and crosstalk coefficients of the perpendicular, identical dielectric crossing waveguide with various corecladding index contrasts for both TE and TM polarizations. Our method is based on a hybrid frequencydomain finitedifference (FDFD) technique computed with the crosssymmetry model. By varying the intersection profile, such as the circular, filleted, tapered and elliptical shapes, we achieve, even for a large 3.5 to 1.5 index ratio, a low 0.25 dB insertion loss, a nontrivial reduction over the straight direct crossing case. 1.
Theoretical foundation for the method of connected local fields
 Progress In Electromagnetics Research, Vol. 114, 67–88, 2011. 314 Mu and Chang
"... Abstract—The method of connected local fields (CLF), developed for computing numerical solutions of the twodimensional (2D) Helmholtz equation, is capable of advancing existing frequencydomain finitedifference (FDFD) methods by reducing the spatial sampling density nearly to the theoretical lim ..."
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Abstract—The method of connected local fields (CLF), developed for computing numerical solutions of the twodimensional (2D) Helmholtz equation, is capable of advancing existing frequencydomain finitedifference (FDFD) methods by reducing the spatial sampling density nearly to the theoretical limit of two points per wavelength. In this paper, we show that the core theory of CLF is the result of applying the uniqueness theorem to local EM waves. Furthermore, the mathematical process for computing the local field expansion (LFE) coefficients from eight adjacent points on a square is similar to that in the theory of discrete Fourier transform. We also present a theoretical analysis of both the local and global errors in the theory of connected local fields and provide closedform expressions for these errors. 1.
PROPOSING A WAVELET BASED MESHLESS METHOD FOR SIMULATION OF CONDUCTING MATERIALS
"... Abstract—This work focuses on the development of multiscale meshless technique in area of scattered fields from paramagnetic scatterers. The radial point interpolation method (RPIM), as the most common meshless technique, is employed for above purpose. Due to high frequency analysis, some special co ..."
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Abstract—This work focuses on the development of multiscale meshless technique in area of scattered fields from paramagnetic scatterers. The radial point interpolation method (RPIM), as the most common meshless technique, is employed for above purpose. Due to high frequency analysis, some special considerations must be applied, particularly in subdomains near the incident face. So, to ensure the accuracy, a multiscale meshless technique in wavelet frames sounds necessary. Simulating the scatterers using above method, specifically an elliptic paramagnetic scatterer, shows some efficient aspects such as less computational time and more precision compared with some other numerical methods. 1.
SIS OF LINEAR ARRAYS OF DIELECTRIC CYLINDERS WITH THE ADAPTIVE BASIS FUNCTIONS/DIAGONAL MOMENT MATRIX TECHNIQUE
"... Abstract—The finitedifference frequencydomain (FDFD) method with the adaptive basis functions/diagonal moment matrix (ABF /DMM) technique is proposed in this paper for finite periodic linear arrays of inhomogeneous dielectric cylinders, in which the versatility of the FDFD method and the high effi ..."
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Abstract—The finitedifference frequencydomain (FDFD) method with the adaptive basis functions/diagonal moment matrix (ABF /DMM) technique is proposed in this paper for finite periodic linear arrays of inhomogeneous dielectric cylinders, in which the versatility of the FDFD method and the high efficiency of the ABF/DMM technique are combined. The method in this paper and the classical fulldomain FDFD method are compared in the given numerical examples. The results obtained by the two methods respectively are in good agreement, but the computational times are largely reduced in the method in this paper. 1.