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LinearBPM
这是一个简单的FFT为无电位1 +1 +1 Ð 薛定谔方程的光束传播方法。如果该软件灵活,允许引入的术语(如果是极少数需要包括色散效应高阶导数)。例如,如果一个人渴望解决的一个方程的形式:
(四/ dz的+ Ð ^ 2/dx ^ 2 - 0.25 * Ð ^ 3/dx ^ 3)== 0 Ÿ
它可以解决使用以下代码:
Ž = linspace(0,1,512)
x = linspace(-5,5,1024)
psi0 =进出口(- x的。^ 2)
Ð = D_lateral1D(十,2)-0.25 * D_lateral1D(十,3)
字段= LinearBPM(psi0,有D,Z)
凡D_lateral1D是一个函数,提供“取代”的微分算子。
这个函数是在一个非线性的BPM,我曾对(分步,谱方法等),将提交给我,当我完成他们的文件和组织功能更复杂的设置非常初期阶段。
(This is a simple FFT based beam propagation method for potential-free 1+1+1D Schrodinger equation. The software if flexible and allows to introduce high-order derivatives in the term (very handful if is needed to include dispersion effects). For example, if one desires to solve an equation in the form:
(d/dz+ d^2/dx^2- 0.25*d^3/dx^3)Y == 0
It can be solved using the following code:
z=linspace(0,1,512)
x=linspace(-5,5,1024)
psi0=exp(-x.^2)
D=D_lateral1D(x,2)-0.25*D_lateral1D(x,3)
field=LinearBPM(psi0,D,z)
Where D_lateral1D is a provided function that "replaces" the derivative operator.
This function is a very early stage in a more complex set of non-linear BPM functions that I have made (split-step, spectral methods, etc.) and I will submit them when I finish their documentation and organization.
Sorry for my English, I m eager for your comments.
)
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