一维齐次亥姆霍兹方程的形式是 d2ydt2+w2y=0,w∈R 该方程是二阶常系数线性齐次方程(Second-order linear homogeneous differential equation with constant coefficients). 求解方法是先通过经验假设解的形式,然后带入原方程求具体参数。这里假设解的形式是 ert , 带入原方程后得到: r2ert+w2ert=0r2+w2=0r=±...
The Helmholtz equation in 1D, which models the propagation of electromagnetic waves in systems effectively reduced to one dimension, is equivalent to the time-independent Schrodinger equation. The one-dimensional Helmholtz potential is widely used in various areas of physics and engineering, such ...
We theoretically demonstrate that tunable exceptional points (EPs) can be realized by using graphene-embedded one-dimensional (1D) photonic crystals with optical pumping in the terahertz (THz) frequency range. By tuning the Fermi level of graphene sheet,
However, in the presence of a time-varying boundary condition and the effects of higher order Floquet harmonics, the Helmholtz equation is not valid. The periodicity of boundary condition in both the time and space domains requires that the generalized Floquet-wave theory38 be applied. In this ...
Particles inside the cavity are free and only interact with the boundaries through elastic collisions; this means waves are described by the Helmholtz equation with Dirichlet boundary conditions on the waveguide walls. The equivalent to the disorder ensemble is an energy ensemble, defined over a ...
We consider high order methods for the one-dimensional Helmholtz equation and frequency-Maxwell system.We demand that the scheme be higher order even when ... G Baruch,G Fibich,S Tsynkov,... - 计算物理通讯(英文) 被引量: 22发表: 2009年 Front Tracking For One-Dimensional Nonlinear Advection...
The result is a non-linear integral equation, which determines a distribution function. The connection between this distribution function and the Helmholtz free energy is derived. The method can apparently be extended to higher dimensional cases....
Gazdag, J., 1978, Wave equation migration with the phase-shift method: Geophysics, v. 43, p. 1342-1351. 3.Berkhout, A.J., 1979, Steep dip finite-difference migration: Geophys. Prosp., v. 27, no. 1, p. 196-213. 4.Mast, J. and Johansson, E., 1994, Three-dimensional ground ...
The effective diffusion Deff and proliferation beff rates of glioma cells are defined as ∫Deff = Dρ L−1 α(σ (x, t))dx L and (17) ∫beff = bρ L−1 β (σ (x, t))dx, L (18) where where L D is the length of the one-dimensional domain of and b are the ...
In 1985 Fridriech and Wintgen proposed a mechanism for bound states in the continuum based on full destructive interference of two resonances which can be easily applied to the two- and three-dimensional wave systems. Here we explicitly show that this me