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Least Squares Finite-Difference Time-Domain
IEEE Transactions on Antennas and Propagation, 2021A central least-squares spatial derivative procedure is developed. It provides simple formulas, similar to finite differences, to approximate spatial derivatives. In addition, a least-squares finite-difference time-domain (LS-FDTD) method is formulated for attenuating high-frequency nonphysical modes, superimposed to physical solution, produced by Yee ...
Rodrigo M. S. de Oliveira +1 more
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Quantum Finite-Difference Time-Domain Scheme
2020 IEEE International Conference on Computational Electromagnetics (ICCEM), 2020In quantum optics, the conventional method to quantize electromagnetic fields is canonical quantization which is analogue to the classical modal expansion method. Here, on the other hand, we show a quantum finite-difference time-domain scheme that can track the time evolution of quantum electromagnetic operators in the coordinate Hilbert space.
Dong-Yeop Na, Weng Cho Chew
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Finite-Difference Time-Domain Methods
2005Publisher Summary This chapter discusses finite-difference time-domain (FDTD) methods. During the 1970s and 1980s, a number of researchers realized the limitations of frequency-domain integral-equation solutions of Maxwell's equations. This led to early explorations of a novel alternative approach: direct time-domain solutions of Maxwell's ...
Susan C. Hagness +2 more
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Broadband Finite Difference Time Domain Modeling
22nd EEGS Symposium on the Application of Geophysics to Engineering and Environmental Problems, 2009Code was designed at The Ohio State University Department of Electrical and Computer Engineering in conjunction with the School of Earth Sciences with the goal of forward modeling subsurface geological systems. To attain this goal the finite difference time domain (FDTD) method was implemented through singleand multi-processor systems leading to the ...
Jeffrey J. Daniels +4 more
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Conformal time domain finite difference method
Radio Science, 1984The conventional time domain finite difference (TDFD) method uses right rectangular meshes in space. The result is that curved object surfaces are approximated by steps. This paper considers finite difference meshes, which are not restricted to any shape, thus capable of conforming to the object surfaces. Other advantages of this type of meshes include
Kenneth K. Mei +2 more
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Stochastic finite-difference time-domain
2012This dissertation presents the derivation of an approximate method to determine the mean and the variance of electromagnetic fields in the body using the Finite-Difference Time-Domain (FDTD) method. Unlike Monte Carlo analysis, which requires repeated FDTD simulations, this method directly computes the variance of the fields at every point in space at ...
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Finite difference time domain methods for piezoelectric crystals
IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 2006The numerical simulation of acoustic wave propagation through piezoelectric crystals using the finite-difference time-domain (FDTD) method is introduced. The update equations for the velocity and stress fields are derived and applied to the propagation of ultrasonic waves in three substrates.
Farid, Chagla, Peter M, Smith
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Sparse Finite Difference Time Domain Method
IEEE Photonics Technology Letters, 2013We propose a new electromagnetic simulation method called the sparse finite difference time domain (FDTD) method. It is based on standard FDTD but is faster by approximately an order of magnitude for large waveguide circuits, because it calculates only where significant electromagnetic energy is present. We derive and demonstrate 2-D sparse FDTD.
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