Computes the value of a spherical harmonic function.

Namespace: Meta.Numerics.Functions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 2.1.0.0 (2.1.0.0)

Syntax

            
 C#  Visual Basic  Visual C++  F# 
public static Complex SphericalHarmonic(
	int l,
	int m,
	double theta,
	double phi
)
Public Shared Function SphericalHarmonic ( _
	l As Integer, _
	m As Integer, _
	theta As Double, _
	phi As Double _
) As Complex
public:
static Complex SphericalHarmonic(
	int l, 
	int m, 
	double theta, 
	double phi
)
static member SphericalHarmonic : 
        l : int * 
        m : int * 
        theta : float * 
        phi : float -> Complex

Parameters

l
Int32
The order, which must be non-negative.
m
Int32
The sub-order, which must lie between -l and l inclusive.
theta
Double
The azimuthal angle θ. This angle is usually expressed as between -π/2 and +π/2, with positive values representing the upper hemisphere and negative values representing the lower hemisphere.
phi
Double
The cylindrical angle φ. This angle is usually expressed as between 0 and 2π, measured counter-clockwise (as seen from above) from the positive x-axis. It is also possible to use negative values to represent clockwise movement.

Return Value

The value of Yl,m(θ,φ).

Exceptions

ExceptionCondition
System..::..ArgumentOutOfRangeExceptionl is negative, or m lies outside the range [-l, l].

See Also