/// <summary>
/// Creates a Gaussian wavepacket with given properties.
/// </summary>
public static WaveFunction CreateGaussianWavePacket(
GridSpec gridSpec, float latticeSpacing, float mass, Vec3 packetCenter, Vec3 packetWidth, Vec3 avgMomentum, bool multiThread = true)
{
WaveFunction wf = new WaveFunction(gridSpec, latticeSpacing);
int sx = gridSpec.SizeX;
int sy = gridSpec.SizeY;
int sz = gridSpec.SizeZ;
float[][][] wfData = wf.Data;
Complex I = Complex.I;
float rootPi = (float)Math.Sqrt(Math.PI);
float sigmaXSq = packetWidth.X * packetWidth.X;
float sigmaYSq = packetWidth.Y * packetWidth.Y;
float sigmaZSq = packetWidth.Z * packetWidth.Z;
float norm = (float)Math.Sqrt((packetWidth.X / (rootPi * sigmaXSq)) * (packetWidth.Y / (rootPi * sigmaYSq)) * (packetWidth.Z / (rootPi * sigmaZSq)));
TdseUtils.Misc.ForLoop(0, sz, (z) =>
{
float zf = z * latticeSpacing;
Complex expArgZ = I * zf * avgMomentum.Z - (zf - packetCenter.Z) * (zf - packetCenter.Z) / (2 * sigmaZSq);
for (int y = 0; y < sy; y++)
{
float yf = y * latticeSpacing;
Complex expArgZY = expArgZ + I * yf * avgMomentum.Y - (yf - packetCenter.Y) * (yf - packetCenter.Y) / (2 * sigmaYSq);
float[] wfDataZY = wfData[z][y];
for (int x = 0; x < sx; x++)
{
float xf = x * latticeSpacing;
Complex expArgZYX = expArgZY + I * xf * avgMomentum.X - (xf - packetCenter.X) * (xf - packetCenter.X) / (2 * sigmaXSq);
Complex wfVal = norm * Complex.Exp(expArgZYX);
wfDataZY[2 * x] = wfVal.Re;
wfDataZY[2 * x + 1] = wfVal.Im;
}
}
}, multiThread);
wf.Normalize();
return(wf);
}
/// <summary>
/// Compares two GridSpecs by value.
/// </summary>
public bool ValueEquals(GridSpec that)
{
return((this.SizeX == that.SizeX) && (this.SizeY == that.SizeY) && (this.SizeZ == that.SizeZ));
}
/// <summary>
/// Copy constructor.
/// </summary>
public GridSpec(GridSpec src)
{
SizeX = src.SizeX;
SizeY = src.SizeY;
SizeZ = src.SizeZ;
}
/// <summary>
/// Constructor.
/// </summary>
public WaveFunction(GridSpec gridSpec, float latticeSpacing)
{
m_data = TdseUtils.Misc.Allocate3DArray(gridSpec.SizeZ, gridSpec.SizeY, 2 * gridSpec.SizeX);
m_latticeSpacing = latticeSpacing;
}
