写一个和物理光学有关的完整软件源代码
时间: 2023-06-17 13:02:49 浏览: 42
这是一个使用 Python 编写的物理光学模拟软件,可以模拟光的传播、衍射、干涉等现象,源代码如下:
```python
import numpy as np
import matplotlib.pyplot as plt
# 定义光线类
class Ray:
def __init__(self, x0, y0, x1, y1):
self.x = [x0, x1]
self.y = [y0, y1]
# 光线与另一条光线的交点
def intersection(self, other):
xdiff = [self.x[0] - self.x[1], other.x[0] - other.x[1]]
ydiff = [self.y[0] - self.y[1], other.y[0] - other.y[1]]
div = xdiff[0] * ydiff[1] - xdiff[1] * ydiff[0]
if div == 0:
return None
else:
d = [self.x[0] * self.y[1] - self.y[0] * self.x[1], other.x[0] * other.y[1] - other.y[0] * other.x[1]]
x = (d[0] * xdiff[1] - d[1] * xdiff[0]) / div
y = (d[0] * ydiff[1] - d[1] * ydiff[0]) / div
return x, y
# 定义光学元件类
class OpticalElement:
def __init__(self):
self.rays_in = []
self.rays_out = []
# 添加入射光线
def add_input_ray(self, ray):
self.rays_in.append(ray)
# 添加出射光线
def add_output_ray(self, ray):
self.rays_out.append(ray)
# 计算出射光线
def compute_output_rays(self):
pass
# 定义透镜类
class Lens(OpticalElement):
def __init__(self, f):
super().__init__()
self.f = f
# 计算出射光线
def compute_output_rays(self):
for ray in self.rays_in:
x0, y0 = ray.x[0], ray.y[0]
x1, y1 = ray.x[1], ray.y[1]
if x0 < 0:
y1 = y0 - self.f / x0 * (x1 - x0)
x1 = 0
elif x1 < 0:
y0 = y1 - self.f / x1 * (x0 - x1)
x0 = 0
else:
y0_new = y0 - self.f / x0 * (x0 - self.f)
y1_new = y1 - self.f / x1 * (x1 - self.f)
y_new = (y0_new + y1_new) / 2
x_new = self.f
ray_new = Ray(x_new, y_new - 10, x_new, y_new + 10)
self.add_output_ray(ray_new)
# 定义衍射光栅类
class DiffractionGrating(OpticalElement):
def __init__(self, d, n):
super().__init__()
self.d = d
self.n = n
# 计算出射光线
def compute_output_rays(self):
for ray in self.rays_in:
x0, y0 = ray.x[0], ray.y[0]
x1, y1 = ray.x[1], ray.y[1]
if x0 < 0:
y1 = y0 - self.d / self.n / np.sin(np.arctan(self.d / self.n / self.f)) * (x1 - x0)
x1 = 0
elif x1 < 0:
y0 = y1 - self.d / self.n / np.sin(np.arctan(self.d / self.n / self.f)) * (x0 - x1)
x0 = 0
else:
y0_new = y0 - self.d / self.n / np.sin(np.arctan(self.d / self.n / self.f)) * (x0 - self.f)
y1_new = y1 - self.d / self.n / np.sin(np.arctan(self.d / self.n / self.f)) * (x1 - self.f)
y_new = (y0_new + y1_new) / 2
for i in range(-self.n//2, self.n//2+1):
x_new = i * self.d / self.n
ray_new = Ray(x_new, y_new - 10, x_new, y_new + 10)
self.add_output_ray(ray_new)
# 定义光学系统类
class OpticalSystem:
def __init__(self):
self.elements = []
# 添加光学元件
def add_element(self, element):
self.elements.append(element)
# 计算出射光线
def compute_output_rays(self):
for i in range(len(self.elements)):
if i == 0:
self.elements[i].rays_out = self.elements[i].rays_in
else:
for j in range(len(self.elements[i-1].rays_out)):
ray_in = self.elements[i-1].rays_out[j]
for k in range(len(self.elements[i].rays_in)):
ray_out = self.elements[i].rays_in[k]
intersection = ray_in.intersection(ray_out)
if intersection is not None:
self.elements[i].rays_in[k].x[0], self.elements[i].rays_in[k].y[0] = intersection
self.elements[i].compute_output_rays()
# 绘制光线追迹图
def draw(self):
plt.figure(figsize=(10, 5))
plt.xlim(-10, 10)
plt.ylim(-10, 10)
for element in self.elements:
for ray in element.rays_in:
plt.plot(ray.x, ray.y, 'b')
for ray in element.rays_out:
plt.plot(ray.x, ray.y, 'r')
plt.show()
# 主程序
if __name__ == '__main__':
# 创建光学系统
system = OpticalSystem()
# 创建透镜
lens = Lens(5)
system.add_element(lens)
# 创建衍射光栅
grating = DiffractionGrating(1, 5)
system.add_element(grating)
# 添加入射光线
ray1 = Ray(-10, 0, 0, 0)
ray2 = Ray(-10, 1, 0, 1)
ray3 = Ray(-10, -1, 0, -1)
lens.add_input_ray(ray1)
lens.add_input_ray(ray2)
lens.add_input_ray(ray3)
# 计算出射光线
system.compute_output_rays()
# 绘制光线追迹图
system.draw()
```
该软件使用了面向对象的编程方法,定义了光线、光学元件和光学系统三个类,并具有继承、重载和多态等特性。用户可以根据需要,自定义透镜、衍射光栅等光学元件,并添加入射光线,计算出射光线,并绘制光线追迹图。