Datei:Transmission line animation.gif
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Erscheinungsbild
Transmission_line_animation.gif (300 × 100 Pixel, Dateigröße: 112 KB, MIME-Typ: image/gif, Endlosschleife, 30 Bilder, 1,8 s)
Diese Datei und die Informationen unter dem roten Trennstrich werden aus dem zentralen Medienarchiv Wikimedia Commons eingebunden.
Beschreibung
BeschreibungTransmission line animation.gif |
English: A lossless transmission line, terminated at an impedance-matched load resistor (box on right). Red color indicates high voltage, and blue indicates low voltage. Black dots represent electrons. (See also File:Transmission_line_animation3.gif for a newer and simpler version.) |
Datum | |
Quelle | Eigenes Werk |
Urheber | Sbyrnes321 |
Lizenz
Ich, der Urheber dieses Werkes, veröffentliche es unter der folgenden Lizenz:
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Diese Datei wird unter der Creative-Commons-Lizenz CC0 1.0 Verzicht auf das Copyright zur Verfügung gestellt. |
Die Person, die das Werk mit diesem Dokument verbunden hat, übergibt dieses weltweit der Gemeinfreiheit, indem sie alle Urheberrechte und damit verbundenen weiteren Rechte – im Rahmen der jeweils geltenden gesetzlichen Bestimmungen – aufgibt. Das Werk kann – selbst für kommerzielle Zwecke – kopiert, modifiziert und weiterverteilt werden, ohne hierfür um Erlaubnis bitten zu müssen.
http://creativecommons.org/publicdomain/zero/1.0/deed.enCC0Creative Commons Zero, Public Domain Dedicationfalsefalse |
Source code
"""
(C) Steven Byrnes, 2013. 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 = 30
animation_loop_seconds = 2 #time in seconds for animation to loop one cycle
bgcolor = (255,255,255) #white
linecolor = (0,0,0) #outline of resistor is black
ecolor = (0,0,0) #electron color is black
img_height = 100
img_width = 300
#transmission line wire length and thickness, and y-coordinate of each wire
tl_length = img_width * 6//7
tl_thickness = 5
tl_top_y = img_height*4//9
tl_bot_y = img_height*5//9 - tl_thickness//2 #second term is to keep it symmetric
wavelength = 0.6 * tl_length
resistor_length = img_height//2
resistor_width = resistor_length//3
resistor_center = (img_width - resistor_width*3//2, img_height//2)
top_lead_path = [(tl_length, tl_top_y + tl_thickness-1),
(tl_length, img_height//9),
(resistor_center[0], img_height//9),
resistor_center]
bot_lead_path = [(x,img_height-y+1) for (x,y) in top_lead_path]
lead_thickness = 2
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 (100+100*V, 100 - 100*V, 100-100*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 make_resistor_surf(phase_at_top):
"""
make a pygame surface representing the resistor. topphase is phase at top
"""
imgarray = [[rgb_from_V(cos(phase_at_top) * (1 - 2*y/resistor_length))
for y in range(resistor_length)]
for x in range(resistor_width)]
surf = pg.surfarray.make_surface(asarray(imgarray))
pg.draw.rect(surf,linecolor,surf.get_rect(),1) #1-pixel black outline
return surf
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 = 3 #pixels between electron path and corresponding wires
path_length = ( 2*(tl_length - d) #transmission lines
+ 2*(img_height//3) #left vertical leads
+ 2*(resistor_center[0] - tl_length + 2*d + lead_thickness)
+ 2*(resistor_length//2 - img_height//9) #right vertical leads
+ resistor_length) #through resistor
howfar = param * path_length
#move right across top transmission line
if howfar < tl_length - d:
x = howfar
y = tl_top_y - d
phase = phase_top_left + 2 * pi * x / wavelength
return {'pos':(x,y), 'phase':phase}
howfar -= (tl_length - d)
#move up lead
if howfar < img_height//3:
x = tl_length - d
y = tl_top_y - d - howfar
phase = phase_top_left + 2 * pi * tl_length / wavelength
return {'pos':(x,y), 'phase':phase}
howfar -= img_height//3
#move right to above resistor
if howfar < (resistor_center[0]- tl_length) + 2*d + lead_thickness:
x = tl_length - d + howfar
y = img_height//9 - d
phase = phase_top_left + 2 * pi * tl_length / wavelength
return {'pos':(x,y), 'phase':phase}
howfar -= (resistor_center[0] - tl_length) + 2*d + lead_thickness
#move down to top of resistor
if howfar < (resistor_length//2 - img_height//9):
x = resistor_center[0] + d + lead_thickness
y = img_height//9 - d + howfar
phase = phase_top_left + 2 * pi * tl_length / wavelength
return {'pos':(x,y), 'phase':phase}
howfar -= (resistor_length//2 - img_height//9)
#move down resistor
if howfar < resistor_length:
x = resistor_center[0] + resistor_width//2 + d
y = resistor_center[1] - resistor_length//2 + howfar
phase = phase_top_left + 2 * pi * tl_length / wavelength
return {'pos':(x,y), 'phase':phase}
howfar -= resistor_length
#beyond here use the mirror symmetry
flipdata = e_path(1-param, phase_top_left)
flipdata['pos'] = (flipdata['pos'][0], img_height - flipdata['pos'][1] + 2)
return flipdata
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
phase_top_right = phase_top_left + 2 * pi * tl_length / wavelength
#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 lead wires
color = rgb_from_V(cos(phase_top_right))
pg.draw.lines(surf,color,False,top_lead_path,lead_thickness)
color = rgb_from_V(cos(phase_top_right + pi))
pg.draw.lines(surf,color,False,bot_lead_path,lead_thickness)
#draw resistor
resistor_surf = make_resistor_surf(phase_top_right)
surf.blit(resistor_surf, (resistor_center[0] - resistor_width//2,
resistor_center[1] - resistor_length//2))
#draw electrons
num_electrons = 100
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])/(1.3*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), 2, 0)
pg.image.save(surf, filename_list[frame])
seconds_per_frame = animation_loop_seconds / frames_in_anim
frame_delay = str(int(seconds_per_frame * 100))
command_list = ['convert', '-delay', frame_delay, '-loop', '0'] + filename_list + ['anim.gif']
# Use the "convert" command (part of ImageMagick) to build the animation
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()
Kurzbeschreibungen
Ergänze eine einzeilige Erklärung, was diese Datei darstellt.
A lossless transmission line, terminated at an impedance-matched load resistor (box on right). Red color indicates high voltage, and blue indicates low voltage. Black dots represent electrons.
In dieser Datei abgebildete Objekte
Motiv
Einige Werte ohne einen Wikidata-Eintrag
30. Juli 2012
Dateiversionen
Klicke auf einen Zeitpunkt, um diese Version zu laden.
Version vom | Vorschaubild | Maße | Benutzer | Kommentar | |
---|---|---|---|---|---|
aktuell | 16:50, 24. Feb. 2014 | ![]() | 300 × 100 (112 KB) | Sbyrnes321 | smaller file size, by switching from images2gif.py to imagemagick |
15:40, 30. Jul. 2012 | ![]() | 300 × 100 (258 KB) | Sbyrnes321 |
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