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File:Monopole 3d radiation pattern 0.25 wavelength.png

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Monopole_3d_radiation_pattern_0.25_wavelength.png (490 × 470 pixels, file size: 31 KB, MIME type: image/png)

Summary

Description
English: Three dimensional far field radiation pattern of quarter-wave (0.25 wavelength) vertical monopole antenna over a perfectly conducting infinite ground plane. This is the most common monopole. The graph is axially symmetric about the antenna's vertical axis, and is resting on the ground plane. The origin of the coordinates is where the axis intersects the ground plane. The distance of the surface from the origin in any direction is proportional to the magnitude of the electric field (signal strength) radiated in that direction. From dipole equation in Balanis, 2005, Antenna Theory 3rd Ed. p.172, eq. 4-62a
Date
Source Own work
Author Chetvorno

Generated by GNU Octave program:

#	mpole3d.m
#	length = length of element in wavelengths
#--------------------------------------------
function mpole3d (length) 
thetasamples = 100;    	#theta resolution
phisamples = 100;      	#phi resolution
colormap bone;	      	#colorscheme
[theta,phi] = meshgrid(linspace(0,pi./2,thetasamples), linspace(0,2.*pi,phisamples)); #creates grid
kl = 2 .* pi .* length;	#length in radians
r = (cos(kl .* cos(theta)) - cos(kl)) ./ sin(theta);  #Directivity equation
r = r .* sign(r);	#fix - make signal strength positive
x = r.*sin(theta).*cos(phi); #maps grid onto radiation surface
y = r.*sin(theta).*sin(phi);
z = r.*cos(theta);
surfl(x,y,z);		#creates a smooth solid surface with specular reflections
shading interp		#continuous shading hides wireframe
axis("equal", "tight", "off");	#same scale factor, no padding, turn off axes
view(-37,15);		#Lowered viewpoint so can see structure better
xlim("tight");		
ylim("tight");
zlim("tight");
print -dpng mpole3dpattern.png;	#save image in file
endfunction

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero 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.

Captions

Radiation pattern of a quarter-wave monopole antenna

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depicts

6 December 2024

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Date/TimeThumbnailDimensionsUserComment
current06:11, 7 December 2024Thumbnail for version as of 06:11, 7 December 2024490 × 470 (31 KB)ChetvornoUploaded own work with UploadWizard

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