File:Bloch function.svg
Summary
| Description |
English: Solid line: A schematic of a typical Bloch wave in one dimension. (The actual wave is complex; this is the real part.) The dotted line is from the eik·r factor. The light circles represent atoms.
Español: En línea sólida: Un esbozo de una onda de Bloch típica en una dimensión. (La onda es, en realidad, compleja, y aquí sólo se muestra la parte real). En línea punteada: el factor eik·r. Los círculos suaves representan átomos. |
| Date | |
| Source | Own work |
| Author | Nicoguaro |
| SVG development | |
| Source code | Python codeimport numpy as np
import matplotlib.pyplot as plt
from scipy.special import mathieu_cem
x = np.linspace(-0.6, 0.8, 301)
y0 = np.cos(np.pi*x)
y1, _ = mathieu_cem(1, 1, 8*180*x)
y1 = y1 + 0.3*np.cos(24*np.pi*x + 3)
y1 = y0 * y1/np.max(y1)
fig = plt.figure(figsize=(10, 4))
centers = np.arange(-0.5, 0.8, 0.25)
plt.plot([-0.6, 0.8], [0, 0], 'k', zorder=3)
plt.scatter(centers, 0*centers, s=300, alpha=0.5, color="gray", zorder=4)
plt.plot(x, y0, '--k', lw=1, zorder=5)
plt.plot(x, y1, 'k', lw=2, zorder=6)
plt.axis([-0.6, 0.8, -1, 1])
plt.axis("off")
plt.savefig("Bloch function.svg", bbox_inches="tight", pad_inches=0.1)
plt.show()
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