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File:Bloch function.svg

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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
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This plot was created with Matplotlib.
Source code
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Python code

import 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()

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

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9 February 2016

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b4bee159feb0e458df2b57bfed78159e44bd290a

8,701 byte

333 pixel

765 pixel

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Date/TimeThumbnailDimensionsUserComment
current02:21, 10 February 2016Thumbnail for version as of 02:21, 10 February 2016765 × 333 (8 KB)NicoguaroUser created page with UploadWizard

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