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 a...
A scheme is presented for the solution of inverse scattering problems for the one-dimensional Helmholtz equation. The scheme is based on a combination of t... Y Chen - 《Inverse Problems》 被引量: 94发表: 1992年 The three dimensional inverse scattering problem for acoustic waves We consider ...
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,
WAVE equationBOUNDARY value problemsUNDERWATER acousticsThis paper deals with the efficient numerical solution of the two-dimensional one-way Helmholtz equation posed on an unbounded domain. In this case, one has to introduce artificial boundary conditions to confine the computational domain. The main ...
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 ...
The efficient finite element discretization of the Helmholtz equation becomes challenging in the medium frequency regime because of numerical dispersion, o... D Wang,R Tezaur,J Toivanen,... - 《International Journal for Numerical Methods in Engineering》 被引量: 51发表: 2012年 A partition of unit...
A numerical method is developed for solving the two-dimensional Helmholtz equation in a region bounded by a flat top and a curved bottom. A local orthogona... YY Lu,J Huang,JR Mclaughlin - 《Wave Motion》 被引量: 85发表: 2001年 Comparison of Different One-Way Propagators for Wave Forwar...
Self-guided waves and exact solutions of the nonlinear Helmholtz equation The paraxial wave theory is known to lead to inaccurate predictions in self-focusing of optical beams. The nonlinear Helmholtz equation describes more accu... LTF At. - 《Journal of the Optical Society of America B Optical...
The Green's Function for the Two-Dimensional Helmholtz Equation in Periodic Domains Analytical techniques are described for transforming the Green's function for the two-dimensional Helmholtz equation in periodic domains from the slowly co... CM Linton - 《Journal of Engineering Mathematics》 被引量...