Diffraction coefficientΒΆ

  • ../_images/sphx_glr_plot_diffraction_polar_001.png
  • ../_images/sphx_glr_plot_diffraction_polar_002.png
  • ../_images/sphx_glr_plot_diffraction_polar_003.png
  • ../_images/sphx_glr_plot_diffraction_polar_004.png 
import numpy as np
import pdb
from pylayers.antprop.slab import *
from pylayers.antprop.diff import *
#
# Metalic case : MacNamara Page 202
#
fGHz = 3.
N = 320/180.
phi0 = 40*np.pi/180.
phi = np.linspace(0.01,N*np.pi-0.01,800)
#phi = np.linspace(0,3*np.pi/2,10)
dm = MatDB()
dm.load('matDB.ini')
mat0 = dm['METAL']
matN = dm['METAL']
si = 10000.
sd = 1.
plt.ion()
Ds,Dh,D1,D2,D3,D4 = diff(fGHz,phi0,phi,si,sd,N,mat0,matN)
#plt.plot(phi*180/np.pi,np.real(Ds[0,0,:,0,0,0,0]),'b',label='Soft -')
#plt.plot(phi*180/np.pi,np.imag(Ds[0,0,:,0,0,0,0]),'b.',label='Soft -')
#plt.plot(phi*180/np.pi,np.real(Dh[0,0,:,0,0,0,0]),'r',label='Hard +')
#plt.plot(phi*180/np.pi,np.imag(Dh[0,0,:,0,0,0,0]),'r.',label='Hard +')
#plt.plot(phi*180/np.pi,np.real(D1[0,0,:,0,0,0,0]),'k',label='ISBinf')
#plt.plot(phi*180/np.pi,np.imag(D1[0,0,:,0,0,0,0]),'k',label='ISBinf')
#plt.plot(phi*180/np.pi,np.real(D2[0,0,:,0,0,0,0]),'g',label='ISBsup')
#plt.plot(phi*180/np.pi,np.imag(D2[0,0,:,0,0,0,0]),'g.',label='ISBsup')
#plt.plot(phi*180/np.pi,20*np.log10(np.abs(D3[0,0,:,0,0,0,0])),'c',label='RSBn')
#plt.plot(phi*180/np.pi,np.real(D4[0,0,:,0,0,0,0]),'m',label='RSBo')
#plt.plot(phi*180/np.pi,np.imag(D4[0,0,:,0,0,0,0]),'m.',label='RSBo')
plt.legend()
plt.grid()
UI  = np.zeros(np.shape(Ds))
UII = np.zeros(np.shape(Ds))
UI[0,0,phi<(np.pi+phi0),0,0,0,0]=1
UII[0,0,phi<(np.pi-phi0),0,0,0,0]=1.
di  = np.sqrt(sd**2+si**2-2*si*sd*np.cos(phi[None,None,:,None,None,None,None]-phi0))
dr  = np.sqrt(sd**2+si**2-2*si*sd*np.cos(phi[None,None,:,None,None,None,None]+phi0))
ds  = si + sd
#di  = np.cos(phi[None,None,:,None,None,None,None]-phi0)
#dr  = np.cos(phi[None,None,:,None,None,None,None]+phi0)
#ds  = sd
Ei  = np.exp(-1j*2*np.pi*fGHz*di/0.3)*UI
Ers = -np.exp(-1j*2*np.pi*fGHz*dr/0.3)*UII
Erh = np.exp(-1j*2*np.pi*fGHz*dr/0.3)*UII
Ed2 = D2*np.exp(-1j*2*np.pi*fGHz*ds/0.3)
Ed4 = D4*np.exp(-1j*2*np.pi*fGHz*ds/0.3)
#Ets = Ei+Ers+Ed1
Ets = Ei + Ers + (Ed2-Ed4)
Eth = Ei + Erh + (Ed2+Ed4)
Ethf = Ei + Erh + Dh*np.exp(-1j*2*np.pi*fGHz*ds/0.3)
Etsf = Ei + Ers + Ds*np.exp(-1j*2*np.pi*fGHz*ds/0.3)
Ec2 = Ei + Ed2
Ec4 = Ers - Ed4
#Ec24 = Ed2+Ei+Ed4+Ers
#Eth = Ei+Erh
#plt.figure
ax = plt.subplot(111,projection='polar')
ax.plot(phi,np.abs(Ed2[0,0,:,0,0,0,0]),'g',label='ISBinf')
ax.plot(phi,np.abs(Ei[0,0,:,0,0,0,0]),'g')
ax.plot(phi,np.abs(Ec2[0,0,:,0,0,0,0]),'g')
ax.plot(phi,np.abs(Ed4[0,0,:,0,0,0,0]),'r',label='ISBinf')
ax.plot(phi,np.abs(Ers[0,0,:,0,0,0,0]),'r')
ax.plot(phi,np.abs(Ec4[0,0,:,0,0,0,0]),'r')
#plt.plot(phi*180/np.pi,np.abs(Ec24[0,0,:,0,0,0,0]),'r')
plt.figure()
#plt.plot(phi*180/np.pi,20*np.log10(np.abs(Ets[0,0,:,0,0,0,0])),'b',linewidth=2.5)
#plt.plot(phi*180/np.pi,20*np.log10(np.abs(Eth[0,0,:,0,0,0,0])),'r',linewidth=2.5)
plt.plot(phi*180/np.pi,20*np.log10(np.abs(Etsf[0,0,:,0,0,0,0])),'b',linewidth=1.5,label='soft')
plt.plot(phi*180/np.pi,20*np.log10(np.abs(Ethf[0,0,:,0,0,0,0])),'r',linewidth=1.5,label='hard')
plt.plot(phi*180/np.pi,20*np.log10(np.abs(Ds[0,0,:,0,0,0,0])),'b.')
plt.plot(phi*180/np.pi,20*np.log10(np.abs(Dh[0,0,:,0,0,0,0])),'r.')
plt.ylim([-40,20])
plt.xlim([0,320])
plt.xlabel(u'Angle $\phi$')
plt.ylabel(u'Magnitude (dB)')
plt.title(u'$\\alpha=4^{\circ},\phi_0=55^{\circ},f= 3 GHz, sd=1m$',fontsize=14)
plt.grid()
#plt.plot(phi*180/np.pi,np.real(Ei[0,0,:,0,0,0,0]),'g')
#plt.plot(phi*180/np.pi,20*np.log10(np.abs(Ets[0,0,:,0,0,0,0])),'g.')
#plt.plot(phi*180/np.pi,20*np.log10(np.abs(Eth[0,0,:,0,0,0,0])),'r')
#plt.plot(phi*180/np.pi,np.real(Eth[0,0,:,0,0,0,0]),'r.')
fGHz = 30.
N = 320/180.
phi0 = 40*np.pi/180.
phi = np.linspace(0.01,N*np.pi-0.01,800)
#phi = np.linspace(0,3*np.pi/2,10)
dm = MatDB()
dm.load('matDB.ini')
mat0 = dm['METAL']
matN = dm['METAL']
si = 10000.
sd = 1.
plt.ion()
Ds,Dh,D1,D2,D3,D4 = diff(fGHz,phi0,phi,si,sd,N,mat0,matN)
#plt.plot(phi*180/np.pi,np.real(Ds[0,0,:,0,0,0,0]),'b',label='Soft -')
#plt.plot(phi*180/np.pi,np.imag(Ds[0,0,:,0,0,0,0]),'b.',label='Soft -')
#plt.plot(phi*180/np.pi,np.real(Dh[0,0,:,0,0,0,0]),'r',label='Hard +')
#plt.plot(phi*180/np.pi,np.imag(Dh[0,0,:,0,0,0,0]),'r.',label='Hard +')
#plt.plot(phi*180/np.pi,np.real(D1[0,0,:,0,0,0,0]),'k',label='ISBinf')
#plt.plot(phi*180/np.pi,np.imag(D1[0,0,:,0,0,0,0]),'k',label='ISBinf')
#plt.plot(phi*180/np.pi,np.real(D2[0,0,:,0,0,0,0]),'g',label='ISBsup')
#plt.plot(phi*180/np.pi,np.imag(D2[0,0,:,0,0,0,0]),'g.',label='ISBsup')
#plt.plot(phi*180/np.pi,20*np.log10(np.abs(D3[0,0,:,0,0,0,0])),'c',label='RSBn')
#plt.plot(phi*180/np.pi,np.real(D4[0,0,:,0,0,0,0]),'m',label='RSBo')
#plt.plot(phi*180/np.pi,np.imag(D4[0,0,:,0,0,0,0]),'m.',label='RSBo')
plt.legend()
plt.grid()
UI  = np.zeros(np.shape(Ds))
UII = np.zeros(np.shape(Ds))
UI[0,0,phi<(np.pi+phi0),0,0,0,0]=1
UII[0,0,phi<(np.pi-phi0),0,0,0,0]=1.
di  = np.sqrt(sd**2+si**2-2*si*sd*np.cos(phi[None,None,:,None,None,None,None]-phi0))
dr  = np.sqrt(sd**2+si**2-2*si*sd*np.cos(phi[None,None,:,None,None,None,None]+phi0))
ds  = si + sd
#di  = np.cos(phi[None,None,:,None,None,None,None]-phi0)
#dr  = np.cos(phi[None,None,:,None,None,None,None]+phi0)
#ds  = sd
Ei  = np.exp(-1j*2*np.pi*fGHz*di/0.3)*UI
Ers = -np.exp(-1j*2*np.pi*fGHz*dr/0.3)*UII
Erh = np.exp(-1j*2*np.pi*fGHz*dr/0.3)*UII
Ed2 = D2*np.exp(-1j*2*np.pi*fGHz*ds/0.3)
Ed4 = D4*np.exp(-1j*2*np.pi*fGHz*ds/0.3)
#Ets = Ei+Ers+Ed1
Ets = Ei + Ers + (Ed2-Ed4)
Eth = Ei + Erh + (Ed2+Ed4)
Ethf = Ei + Erh + Dh*np.exp(-1j*2*np.pi*fGHz*ds/0.3)
Etsf = Ei + Ers + Ds*np.exp(-1j*2*np.pi*fGHz*ds/0.3)
Ec2 = Ei + Ed2
Ec4 = Ers - Ed4
#Ec24 = Ed2+Ei+Ed4+Ers
#Eth = Ei+Erh
plt.figure()
plt.plot(phi*180/np.pi,np.abs(Ed2[0,0,:,0,0,0,0]),'g',label='ISBinf')
plt.plot(phi*180/np.pi,np.abs(Ei[0,0,:,0,0,0,0]),'g')
plt.plot(phi*180/np.pi,np.abs(Ec2[0,0,:,0,0,0,0]),'g')
plt.plot(phi*180/np.pi,np.abs(Ed4[0,0,:,0,0,0,0]),'r',label='ISBinf')
plt.plot(phi*180/np.pi,np.abs(Ers[0,0,:,0,0,0,0]),'r')
plt.plot(phi*180/np.pi,np.abs(Ec4[0,0,:,0,0,0,0]),'r')
#plt.plot(phi*180/np.pi,np.abs(Ec24[0,0,:,0,0,0,0]),'r')
plt.figure()
#plt.plot(phi*180/np.pi,20*np.log10(np.abs(Ets[0,0,:,0,0,0,0])),'b',linewidth=2.5)
#plt.plot(phi*180/np.pi,20*np.log10(np.abs(Eth[0,0,:,0,0,0,0])),'r',linewidth=2.5)
plt.plot(phi*180/np.pi,20*np.log10(np.abs(Etsf[0,0,:,0,0,0,0])),'b',linewidth=1.5,label='soft')
plt.plot(phi*180/np.pi,20*np.log10(np.abs(Ethf[0,0,:,0,0,0,0])),'r',linewidth=1.5,label='hard')
plt.plot(phi*180/np.pi,20*np.log10(np.abs(Ds[0,0,:,0,0,0,0])),'b.')
plt.plot(phi*180/np.pi,20*np.log10(np.abs(Dh[0,0,:,0,0,0,0])),'r.')
plt.ylim([-40,20])
plt.xlim([0,320])
plt.xlabel(u'Angle $\phi$')
plt.ylabel(u'Magnitude (dB)')
plt.title(u'$\\alpha=4^{\circ},\phi_0=55^{\circ},f= 30 GHz, sd=1m$',fontsize=14)
plt.grid()
#plt.plot(phi*180/np.pi,np.real(Ei[0,0,:,0,0,0,0]),'g')
#plt.plot(phi*180/np.pi,20*np.log10(np.abs(Ets[0,0,:,0,0,0,0])),'g.')
#plt.plot(phi*180/np.pi,20*np.log10(np.abs(Eth[0,0,:,0,0,0,0])),'r')
#plt.plot(phi*180/np.pi,np.real(Eth[0,0,:,0,0,0,0]),'r.')

Total running time of the script: ( 0 minutes 3.226 seconds)

Download Python source code: plot_diffraction_polar.py

Download Jupyter notebook: plot_diffraction_polar.ipynb

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