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A thorough study on the finite-difference time-domain (FDTD) simulation of the Maxwell-Schrödinger system in the semi-classical regime is given. For the Maxwell part which is treated classically, an alternative approach directly using the vector and scalar potentials (A and Φ) is taken. This approach is stable in the long wavelength regime and removes the need to extract the potentials at every time...
Competitiveness of China Development Bank is evaluated from the perspective of commercial banks in this paper. By establishing competitiveness evaluation index system, China Development Bank is compared with nine commercial banks. Analytic Hierarchy Process is combined with Entropy Method, and the result of comprehensive evaluation shows the two methods are complementary to each other. The empirical...
As the key of braked friction coefficient automatic testing system between tyre and road, the influence factors of the braked force coefficient are very important. The influence factors of braked force coefficient, including the testing speed, tyre type and model, water film thickness and the temperature of road surface etc. are studied and analysised in this paper. The water film thickness and the...
The high frequency scattering of a scalar plane wave from an impenetrable sphere with the diameter of one thousand wavelength is treated by the saddle-point technique and the numerical steepest descent method. The far-field solution for the sphere is computed in the observation angle range of 0 to 180 degree. In particular, a novel numerical steepest descent method is proposed to overcome the breakdown...
A high-order PE method has been derived and analyzed for solving multi-object RCS for the first time. Compared with the existing method SPE, the present method has following features: Firstly, boundary conditions including PML and scatterers boundary conditions can be handled as easy as SPE method. Secondly, to obtain the full bistatic RCS, we need only two rotated PE runs for high-order PE while...
Classical finite-difference time-domain (FDTD) method has been widely used in computational electromagnetics, but for electrically large domains and for late-time analysis, FDTD method begins to show its limitations due to the accumulation of phase errors. To solve this problem, several methods have been proposed such as high-order schemes and four-stage Runge-Kutta integrator. Recently, the symplectic...
Using the locally conformal technique and the high-order symplectic integrators, the high- order conformal symplectic FDTD scheme is accurate and efficient for modeling the scattering from three-dimensional curved perfectly conducting objects. In addition, the decreased time step caused by the conformal model can be offset by using coarse grids.
In this paper, a similar but novel method presented in [3, 4], lifting wavelet-like transform (LWLT), is applied to the FMM method to sparsify the aggregation and disaggregation matrix. By compressing the elements in those two matrices in time, the method proposed can further speed up the MVM and save much memory when the FMM is used. Numerical results for different shaped three-dimensional objects...
The connections between Maxwell's equations and symplectic matrix are studied. First, we analyze the continuous- time Maxwell's differential equations in free space and verify its time evolution matrix (TEMA) is symplectic-unitary matrix for complex space or symplectic-orthogonal matrix for real space. Second, the spatial differential operators are discretized by pseudo-spectral (PS) approach with...
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