平行平面腔自洽积分方程在python中如何输入
时间: 2024-10-28 09:15:37 浏览: 43
平行平面腔(Parallelepiped Cavity)的自洽电磁场分析通常涉及到Maxwell's equations的离散化形式,比如FDTD(有限差分时间-domain)方法。在Python中,我们可以使用专门的数值模拟库如`Meep`或者`pybinding`来进行这样的计算,它们都支持设置边界条件和求解自洽场方程。
假设你使用`Meep`,你需要先安装并了解其基本使用方法。以下是创建一个平行平面腔的基本步骤:
1. 首先,安装`meep`库:
```bash
pip install meep
```
2. 然后,编写Python脚本,初始化一个平行平面腔模型,并设置边界的电导率(electric conductivity)等属性:
```python
from meep import *
c = SpeedOfLight() # 光速
resolution = 15 # 分辨率
size = [1, 1, 1] * um # 腔体尺寸
cell = Cell(size=size)
pml_layers = PML(epsilon=1+0j) * 1 * mm # 边界采用PML吸收边界条件
geometry = [Rect(size=[size[0], size[1]], center=[0, 0])] # 平行于xy面的一个矩形作为腔体
sources = [PointSource(src=PlaneWave(polarization=ElectricField.POLARIZATION_X, k_point=Kvector(kx=0, ky=0)), center=[size[0]/2, size[1]/2, 0])]
sim = Simulation(cell_size=cell.size, resolution=resolution,
boundary_layers=pml_layers, geometry=geometry, sources=sources,
default_material=Dielectric(n=1))
```
3. 最后,运行模拟并提取数据:
```python
output = sim.run(until_after_sources=1000 * fs) # 运行指定的时间
field = output.get_field() # 获取场信息
```
注意这只是一个基础示例,实际应用中可能还需要处理更多复杂的情况,如偏振、频率依赖的材料等。
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