imported>Caesar Schinas |
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| == Summary == | | == Summary == |
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| | Importing file |
| {{Image_Details
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| | description = Some illustrative real spherical harmonics
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| | author = Paul Wormer
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| | copyright = Paul Wormer
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| | source = Prepared by the aid of Matlab:
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| theta = [0:5:180]*pi/180;
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| phi = [0:5:360]*pi/180;
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| [Theta, Phi] = meshgrid(theta, phi);
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| H = abs(1);
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| X = H.*sin(Theta).*cos(Phi);
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| Y = H.*sin(Theta).*sin(Phi);
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| Z = H.*cos(Theta);
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| subplot(2,3,1)
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| surf(X,Y,Z)
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| title('Y_0^0 = 1')
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| axis equal off
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| H = abs(cos(Theta));
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| X = H.*sin(Theta).*cos(Phi);
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| Y = H.*sin(Theta).*sin(Phi);
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| Z = H.*cos(Theta);
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| subplot(2,3,2)
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| surf(X,Y,Z)
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| title('Y_1^0 = cos\theta')
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| axis equal off
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| H = abs(3*cos(Theta).^2-1);
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| X = H.*sin(Theta).*cos(Phi);
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| Y = H.*sin(Theta).*sin(Phi);
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| Z = H.*cos(Theta);
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| subplot(2,3,3)
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| surf(X,Y,Z)
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| title('Y_2^0 = 3cos^2\theta-1')
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| axis equal off
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| H = abs(cos(Theta).*sin(Theta).*sin(Phi));
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| X = H.*sin(Theta).*cos(Phi);
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| Y = H.*sin(Theta).*sin(Phi);
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| Z = H.*cos(Theta);
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| subplot(2,3,4)
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| surf(X,Y,Z)
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| title('^sY_2^1 = cos\theta sin\theta sin\phi')
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| axis equal off
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| [Theta, Phi] = meshgrid(theta, phi);
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| H = abs(5*cos(Theta).^3-3*cos(Theta));
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| X = H.*sin(Theta).*cos(Phi);
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| Y = H.*sin(Theta).*sin(Phi);
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| Z = H.*cos(Theta);
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| subplot(2,3,5)
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| surf(X,Y,Z)
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| title('Y_3^0=5cos^3\theta-3cos\theta')
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| axis equal off
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| H = abs( (5*cos(Theta).^2-1).*cos(Phi).*sin(Theta) );
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| X = H.*sin(Theta).*cos(Phi);
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| Y = H.*sin(Theta).*sin(Phi);
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| Z = H.*cos(Theta);
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| subplot(2,3,6)
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| surf(X,Y,Z)
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| title('^cY_3^1=(5cos^2\theta-1)sin\theta cos\phi')
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| axis equal off
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| | date-created = 04/09/2007
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| | pub-country =
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| | notes =
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| | versions =
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| }}
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| == Licensing/Copyright status ==
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| See licensing data below
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| == Licensing/Copyright status ==
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| {{GNU|FDL|1.2|+}}
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