Spherical Harmonics

Functions to compute spherical harmonics and related functions.

Usage

spherical_harmonic(n, m, theta, phi)

spherical_harmonic_r(n, m, theta, phi)

spherical_harmonic_i(n, m, theta, phi)

Arguments

n

Degree of the spherical harmonic

m

Order of the spherical harmonic

theta

Polar angle (colatitude)

phi

Azimuthal angle (longitude)

Value

A single complex value with the computed spherical harmonic function, or its real and imaginary parts.

See also

Boost Documentation

Examples

# Spherical harmonic function Y_2^1(0.5, 0.5)
spherical_harmonic(2, 1, 0.5, 0.5)
#> [1] -0.2852481-0.1558318i
# Real part of the spherical harmonic function Y_2^1(0.5, 0.5)
spherical_harmonic_r(2, 1, 0.5, 0.5)
#> [1] -0.2852481
# Imaginary part of the spherical harmonic function Y_2^1(0.5, 0.5)
spherical_harmonic_i(2, 1, 0.5, 0.5)
#> [1] -0.1558318