File:Transmission line animation2.gif
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Transmission_line_animation2.gif (300 × 70 pixels, file size: 263 KB, MIME type: image/gif, looped, 75 frames, 4.5 s)
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Structured data
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Summary[edit]
DescriptionTransmission line animation2.gif |
English: A wave traveling right along a lossless transmission line. Red color indicates high voltage, and blue indicates low voltage. Black dots represent electrons. |
Date | |
Source | Own work |
Author | Steven Byrnes |
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. | |
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
Source code[edit]
"""
(C) Steven Byrnes, 2014. This code is released under the MIT license
http://opensource.org/licenses/MIT
This code runs in Python 2.7 or 3.3. It requires imagemagick to be installed;
that's how it assembles images into animated GIFs.
"""
from __future__ import division
import pygame as pg
from numpy import cos, pi, sin, asarray
import subprocess, os
directory_now = os.path.dirname(os.path.realpath(__file__))
frames_in_anim = 75
animation_loop_seconds = 5 #time in seconds for animation to loop one cycle
bgcolor = (255,255,255) #white
ecolor = (0,0,0) #electron color is black
# pygame draws pixel-art, not smoothed. Therefore I am drawing it
# bigger, then smoothly shrinking it down
img_height = 210
img_width = 900
final_height = 70
final_width = 300
# ~23 megapixel limit for wikipedia animated gifs
assert final_height * final_width * frames_in_anim < 22e6
#transmission line wire length and thickness, and y-coordinate of each wire
tl_length = img_width
tl_thickness = 27
tl_top_y = 66
tl_bot_y = img_height - tl_top_y - tl_thickness + 2
wavelength = 1.4 * tl_length
def rgb_from_V(V):
"""
voltage V varies -1 to +1. Return a color as a function of V.
Color is a 3-tuple red,green,blue, each 0 to 255.
"""
return (200+55*V, 200-55*V, 200-55*V)
def tup_round(tup):
"""
round each element of a tuple to nearest integer
"""
return tuple(int(round(x)) for x in tup)
def make_wire_surf(phase_at_left):
"""
make a pygame surface representing a colored wire. startphase is phase
at left side of the wire.
"""
imgarray = [[rgb_from_V(cos(phase_at_left + 2*pi*x/wavelength))
for y in range(tl_thickness)] for x in range(tl_length)]
return pg.surfarray.make_surface(asarray(imgarray))
def e_path(param, phase_top_left):
"""
as param goes 0 to 1, this returns {'pos': (x, y), 'phase':phi},
where (x,y) is the coordinates of the corresponding point on the electron
dot path, and phi is the phase for an electron at that point on the path.
phase_top_left is phase of the left side of the top wire.
"""
# d is a vertical offset between the electrons and the wires
d = -21
# pad is how far to extend the transmission line beyond the image borders
# (since those electrons may enter the image a bit)
pad = 36
path_length = 2*(tl_length + 2*pad)
howfar = param * path_length
# move right across top transmission line
if howfar <= path_length / 2:
x = howfar - pad
y = tl_top_y - d
phase = phase_top_left + 2 * pi * x / wavelength
return {'pos':(x,y), 'phase':phase}
# then move left across the bottom transmission line
x = path_length - howfar - pad
y = tl_bot_y + tl_thickness + d
phase = phase_top_left + 2 * pi * x / wavelength
return {'pos':(x,y), 'phase':phase}
def main():
#Make and save a drawing for each frame
filename_list = [os.path.join(directory_now, 'temp' + str(n) + '.png')
for n in range(frames_in_anim)]
for frame in range(frames_in_anim):
phase_top_left = -2 * pi * frame / frames_in_anim
#initialize surface
surf = pg.Surface((img_width,img_height))
surf.fill(bgcolor);
#draw transmission line
top_wire_surf = make_wire_surf(phase_top_left)
bottom_wire_surf = make_wire_surf(phase_top_left + pi)
surf.blit(top_wire_surf, (0, tl_top_y))
surf.blit(bottom_wire_surf, (0, tl_bot_y))
#draw electrons
num_electrons = 70
equilibrium_params = [x/(num_electrons-1) for x in range(num_electrons)]
phases = [e_path(a, phase_top_left)['phase'] for a in equilibrium_params]
now_params = [equilibrium_params[i] + sin(phases[i])/(0.45*num_electrons)
for i in range(num_electrons)]
coords = [e_path(a, phase_top_left)['pos'] for a in now_params]
for coord in coords:
pg.draw.circle(surf, ecolor, tup_round(coord), 4, 0)
shrunk_surface = pg.transform.smoothscale(surf, (final_width, final_height))
pg.image.save(shrunk_surface, filename_list[frame])
seconds_per_frame = animation_loop_seconds / frames_in_anim
frame_delay = str(int(seconds_per_frame * 100))
# Use the "convert" command (part of ImageMagick) to build the animation
command_list = ['convert', '-delay', frame_delay, '-loop', '0'] + filename_list + ['anim.gif']
subprocess.call(command_list, cwd=directory_now)
# Earlier, we saved an image file for each frame of the animation. Now
# that the animation is assembled, we can (optionally) delete those files
if True:
for filename in filename_list:
os.remove(filename)
main()
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 13:32, 29 October 2014 | 300 × 70 (263 KB) | Sbyrnes321 (talk | contribs) | smoother image using subpixel-accurate rendering; smaller electrons; slower with longer wavelength | |
13:55, 27 October 2014 | 300 × 70 (163 KB) | Sbyrnes321 (talk | contribs) | User created page with UploadWizard |
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