Real-Valued Spherical Harmonics

some useful spherical harmonics routines

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Features:
[1] real-valued spherical harmonics
using real coefficients
[2] support flexible band intervals
(l=0:dl:L) including both full band
SH (dl=1) and even order only SH (dl=2)
[3] evaluate both function values
f(theta,phi) and the derivatives
of f w.r.t theta and phi. Can be used
for finding peaks of spherical functions
[4] implement the spherical harmonics
rotation algorithm of Ivanic and Ruedenberg

Cite As

Bing Jian (2026). Real-Valued Spherical Harmonics (https://www.mathworks.com/matlabcentral/fileexchange/15377-real-valued-spherical-harmonics), MATLAB Central File Exchange. Retrieved .

Categories

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General Information

MATLAB Release Compatibility

  • Compatible with any release

Platform Compatibility

  • Windows
  • macOS
  • Linux
Version Published Release Notes Action
1.0.0.0

BSD License
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