python 磁场流图上的磁压

xfb7svmp  于 2023-05-05  发布在  Python
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我在Python中绘制了太阳上的磁场图,代码如下:

# Import the necessary modules
import numpy as np
import matplotlib.pyplot as plt
import sympy as sym

# Define the magnetic field function
def magnetic_field(x, y):
    Bx = y
    By = x
    return np.array([Bx, By])



# Set up the grid of coordinates
x = np.linspace(-1, 1, 20)
y = np.linspace(-1, 1, 20)
X, Y = np.meshgrid(x, y)

# Compute the magnetic field at each grid point
Bx, By = magnetic_field(X, Y)


# Set the size of the plot
plt.figure(figsize=(6, 6))

# Plot the magnetic field lines
plt.streamplot(X, Y, Bx, By, broken_streamlines= False)

# Set the limits of the plot
plt.xlim(-0.5, 0.5)
plt.ylim(-0.5, 0.5)

# Add labels and title to the plot
plt.xlabel('x')
plt.ylabel('y')
plt.title('Magnetic Field Lines')

# Show the plot 

plt.show()

我想把它的磁压力的强度Pm=B^2/8 pi箭头形取决于价格。
我做的唯一一件事是找到所有的价格与打印和绘图Pm在一个不同的绘图与y=0或x=0

wz8daaqr

wz8daaqr1#

如果我没理解错的话,你想给streamplot箭头添加颜色,这些箭头Map到该位置的磁场强度。您可以采用与this类似的方法来实现这一点。首先用Pm=np.linalg.norm(np.array([Bx, By]),axis=0)**2/(8*np.pi)计算磁场强度,然后用plt.streamplot(X, Y, Bx, By,color=Pm,broken_streamlines= False)将其Map到流图上。查看下面的完整代码和输出:

# Import the necessary modules
import numpy as np
import matplotlib.pyplot as plt
import sympy as sym

# Define the magnetic field function
def magnetic_field(x, y):
    Bx = y
    By = x
    return Bx, By

# Set up the grid of coordinates
x = np.linspace(-1, 1, 20)
y = np.linspace(-1, 1, 20)
X, Y = np.meshgrid(x, y)

# Compute the magnetic field at each grid point
Bx, By = magnetic_field(X, Y)
Pm=np.linalg.norm(np.array([Bx, By]),axis=0)**2/(8*np.pi) #compute strength magnetic field

fig=plt.figure(figsize=(7, 6))
# Plot the magnetic field lines
strm=plt.streamplot(X, Y, Bx, By,color=Pm,broken_streamlines= False)
fig.colorbar(strm.lines)

# Add labels and title to the plot
plt.xlabel('x')
plt.ylabel('y')
plt.title('Magnetic Field Lines')

# Show the plot 
plt.show()

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