File:Transmission line animation.gif

Transmission_line_animation.gif (300 × 100 像素,檔案大小:112 KB,MIME 類型:image/gif、​循環、​30 畫格、​1.8秒)


摘要

描述
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.)
日期
來源 自己的作品
作者 Sbyrnes321

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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()

說明

添加單行說明來描述出檔案所代表的內容
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.

在此檔案描寫的項目

描繪內容

創作作者 Chinese (Hong Kong) (已轉換拼寫)

沒有維基數據項目的某些值

作者姓名字串 繁體中文 (已轉換拼寫):​Sbyrnes321
維基媒體使用者名稱 繁體中文 (已轉換拼寫):​Sbyrnes321

著作權狀態 繁體中文 (已轉換拼寫)

檔案來源 Chinese (Taiwan) (已轉換拼寫)

上傳者的原創作品 繁體中文 (已轉換拼寫)

檔案歷史

點選日期/時間以檢視該時間的檔案版本。

日期/時間縮⁠圖尺寸用戶備⁠註
目前2014年2月24日 (一) 14:50於 2014年2月24日 (一) 14:50 版本的縮圖300 × 100(112 KB)Sbyrnes321smaller file size, by switching from images2gif.py to imagemagick
2012年7月30日 (一) 13:40於 2012年7月30日 (一) 13:40 版本的縮圖300 × 100(258 KB)Sbyrnes321

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