File:Spherical harmonics.png: Difference between revisions

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	Date/Time	Thumbnail	Dimensions	User	Comment
current	18:54, 11 March 2022		1,201 × 900 (59 KB)	Maintenance script (talk \| contribs)	== Summary == Importing file

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Spherical harmonics

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Horizontal resolution	59.06 dpc
Vertical resolution	59.06 dpc
File change date and time	08:30, 4 September 2007
Date and time of digitizing	04-Sep-2007 10:30:28
Software used	MATLAB, The Mathworks, Inc.

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 == Summary ==
-    {{
+Importing file
-    Information
-    |Description= Some illustrative real spherical harmonics
-    |Source= Prepared by the aid of Matlab:
-    theta = [0:5:180]*pi/180;
-    phi   = [0:5:360]*pi/180;
-    [Theta, Phi] = meshgrid(theta, phi);
-    H     = abs(1);
-    X     =  H.*sin(Theta).*cos(Phi);
-    Y     =  H.*sin(Theta).*sin(Phi);
-    Z     =  H.*cos(Theta);
-    subplot(2,3,1)
-    surf(X,Y,Z)
-    title('Y_0^0 = 1')
-    axis equal off
-    H     = abs(cos(Theta));
-    X     =  H.*sin(Theta).*cos(Phi);
-    Y     =  H.*sin(Theta).*sin(Phi);
-    Z     =  H.*cos(Theta);
-    subplot(2,3,2)
-    surf(X,Y,Z)
-    title('Y_1^0 =  cos\theta')
-    axis equal off
-    H     = abs(3*cos(Theta).^2-1);
-    X     =  H.*sin(Theta).*cos(Phi);
-    Y     =  H.*sin(Theta).*sin(Phi);
-    Z     =  H.*cos(Theta);
-    subplot(2,3,3)
-    surf(X,Y,Z)
-    title('Y_2^0 =  3cos^2\theta-1')
-    axis equal off
-    H     = abs(cos(Theta).*sin(Theta).*sin(Phi));
-    X     =  H.*sin(Theta).*cos(Phi);
-    Y     =  H.*sin(Theta).*sin(Phi);
-    Z     =  H.*cos(Theta);
-    subplot(2,3,4)
-    surf(X,Y,Z)
-    title('^sY_2^1 =  cos\theta sin\theta sin\phi')
-    axis equal off
-    [Theta, Phi] = meshgrid(theta, phi);
-    H     = abs(5*cos(Theta).^3-3*cos(Theta));
-    X     =  H.*sin(Theta).*cos(Phi);
-    Y     =  H.*sin(Theta).*sin(Phi);
-    Z     =  H.*cos(Theta);
-    subplot(2,3,5)
-    surf(X,Y,Z)
-    title('Y_3^0=5cos^3\theta-3cos\theta')
-    axis equal off
-    H     = abs( (5*cos(Theta).^2-1).*cos(Phi).*sin(Theta) );
-    X     =  H.*sin(Theta).*cos(Phi);
-    Y     =  H.*sin(Theta).*sin(Phi);
-    Z     =  H.*cos(Theta);
-    subplot(2,3,6)
-    surf(X,Y,Z)
-    title('^cY_3^1=(5cos^2\theta-1)sin\theta cos\phi')
-    axis equal off
-    |Date= 04/09/2007
-    |Author= Paul Wormer
-    |Permission= See licensing data below
-    }}
-== Licensing/Copyright status ==
-{{GFDL}}