// Steady-State Domain...
///// <summary>
///// Steady-State centerline Photon Hitting Density by the Green's function multiplication
///// </summary>
///// <param name="ops">optical properties object</param>
///// <param name="rhos">Source Detector separation</param>
///// <param name="rProbe">Radial distance from source to "iterogation" location</param>
///// <param name="z">Depth being probed</param>
///// <returns>The Photon Hitting Density at specified location</returns>
//public IEnumerable<double> SteadyStatePointSourceCenterlinePHD(IEnumerable<OpticalProperties> ops, IEnumerable<double> rProbes,
// IEnumerable<double> rhos, IEnumerable<double> zs)
//{
// foreach (var op in ops)
// {
// DiffusionParameters dp = DiffusionParameters.Create(op, ForwardModel.SDA);
// foreach (var rProbe in rProbes)
// {
// foreach (var rho in rhos)
// {
// foreach (var z in zs)
// {
// var r11 = DiffusionBase.Radius1(rProbe, z, dp.zp);
// var r12 = DiffusionBase.Radius2(rProbe, z, dp.zp, dp.zb);
// var r21 = DiffusionBase.Radius1(rho - rProbe, z, 0.0);
// var r22 = DiffusionBase.Radius2(rho - rProbe, z, 0.0, dp.zb);
// var fluence1 = DiffusionBase.SteadyStatePointSourceImageGreensFunction(dp, r11, r12);
// var fluence2 = DiffusionBase.SteadyStatePointSourceImageGreensFunction(dp, r21, r22);
// yield return (fluence1 * fluence2);
// }
// }
// }
// }
//}
public static IEnumerable <Complex> TimeFrequencyDomainFluence2SurfacePointPHD(
this IForwardSolver myForwardSolver,
double timeModulationFrequency,
IEnumerable <OpticalProperties> ops,
IEnumerable <double> rhoPrimes, IEnumerable <double> zs)
{
foreach (var op in ops)
{
DiffusionParameters dp = DiffusionParameters.Create(op, ForwardModel.SDA);
Complex k =
(
(op.Mua * dp.cn + Complex.ImaginaryOne * timeModulationFrequency * 2 * Math.PI) /
(dp.D * dp.cn)
).SquareRoot();
foreach (var rho in rhoPrimes)
{
foreach (var z in zs)
{
var r21 = CalculatorToolbox.GetRadius(rho, z);
var r22 = CalculatorToolbox.GetRadius(rho, z + 2 * dp.zb);
yield return
(DiffusionGreensFunctions.TemporalFrequencyPointSourceImageGreensFunction(dp, r21, r22, k));
}
}
}
}
/// <summary>
/// Evaluate the temporally-radially resolved fluence using the point source-image configuration
/// </summary>
/// <param name="dp">DiffusionParameters object</param>
/// <param name="rho">radial location</param>
/// <param name="z">depth location</param>
/// <param name="t">time</param>
/// <returns>fluence</returns>
public override double TemporalFluence(
DiffusionParameters dp, double rho, double z, double t)
{
return(DiffusionGreensFunctions.TemporalPointSourceImageGreensFunction(dp,
CalculatorToolbox.GetRadius(rho, z - dp.zp),
CalculatorToolbox.GetRadius(rho, z + dp.zp + 2 * dp.zb),
t));
}
public static IEnumerable <double> SteadyStateFluence2SurfacePointPHD(
this IForwardSolver myForwardSolver,
IEnumerable <OpticalProperties> ops,
IEnumerable <double> rhoPrimes, IEnumerable <double> zs)
{
foreach (var op in ops)
{
DiffusionParameters dp = DiffusionParameters.Create(op, ForwardModel.SDA);
foreach (var rho in rhoPrimes)
{
foreach (var z in zs)
{
var r21 = CalculatorToolbox.GetRadius(rho, z);
var r22 = CalculatorToolbox.GetRadius(rho, z + 2 * dp.zb);
yield return
(DiffusionGreensFunctions.StationaryPointSourceImageGreensFunction(dp, r21, r22));
}
}
}
}
public static IEnumerable <double> TemporalPointSourceCenterlinePHD(
this IForwardSolver myForwardSolver,
IEnumerable <OpticalProperties> ops, IEnumerable <double> rProbes,
IEnumerable <double> rhos, IEnumerable <double> zs, IEnumerable <double> ts)
{
foreach (var op in ops)
{
DiffusionParameters dp = DiffusionParameters.Create(op, ForwardModel.SDA);
foreach (var rProbe in rProbes)
{
foreach (var rho in rhos)
{
foreach (var z in zs)
{
var r11 = CalculatorToolbox.GetRadius(rProbe, z - dp.zp);
var r12 = CalculatorToolbox.GetRadius(rProbe, z + dp.zp + 2 * dp.zb);
var r21 = CalculatorToolbox.GetRadius(rho - rProbe, z);
var r22 = CalculatorToolbox.GetRadius(rho - rProbe, z + 2 * dp.zb);
foreach (var t in ts)
{
Func <double, double> integrandConvolve =
tau =>
{
return
(DiffusionGreensFunctions.TemporalPointSourceImageGreensFunction
(dp, r11, r12, tau) *
DiffusionGreensFunctions.TemporalPointSourceImageGreensFunction
(dp, r21, r22, t - tau));
};
yield return(FunctionMath.Integrate(
integrandConvolve, Meta.Numerics.Interval.FromEndpoints(0.0, t)));
}
}
}
}
}
}
///// <summary>
///// Modified from a code of Fred's written in Matlab
///// </summary>
///// <param name="dp">diffusion parameters object</param>
///// <param name="k">complex diffusion constant, ((mua*cn +i*(ft*2*pi))/(D*cn)).^0.5</param>
///// <param name="rho">source-detector separation</param>
///// <param name="rProbe">radius from source</param>
///// <param name="y">omitted</param>
///// <param name="z">depth</param>
///// <param name="ft">temporal frequency</param>
///// <returns></returns>
//public static double DepthProbFrequencyDomainPhotonMigration(DiffusionParameters dp, Complex k,
// double rho, double rProbe, double z, double ft)
//{
// var r11 = DiffusionBase.Radius1(rho, z, dp.zp);
// var r12 = DiffusionBase.Radius2(rho, z, dp.zp, dp.zb);
// var r21 = DiffusionBase.Radius1(rProbe - rho, z, 0.0);
// var r22 = DiffusionBase.Radius2(rProbe - rho, z, 0.0, dp.zb);
// var phi1 = SDAForwardSolver.TemporalFrequencyFluence(dp, k, r11, r12);
// var phi2 = SDAForwardSolver.TemporalFrequencyFluence(dp, k, r21, r22);
// return (phi1 * phi2).Modulus; // see Kienle and Patterson, JOSA A 14(1), 246-254,1997
//}
public static IEnumerable <double> TemporalFrequencyPointSourceCenterlinePHD(
this IForwardSolver myForwardSolver, IEnumerable <OpticalProperties> ops,
IEnumerable <double> rProbes, IEnumerable <double> rhos,
IEnumerable <double> zs, IEnumerable <double> fts)
{
foreach (var op in ops)
{
DiffusionParameters dp = DiffusionParameters.Create(op, ForwardModel.SDA);
foreach (var rProbe in rProbes)
{
foreach (var rho in rhos)
{
foreach (var z in zs)
{
var r11 = CalculatorToolbox.GetRadius(rProbe, z - dp.zp);
var r12 = CalculatorToolbox.GetRadius(rProbe, z + dp.zp + 2 * dp.zb);
var r21 = CalculatorToolbox.GetRadius(rho - rProbe, z);
var r22 = CalculatorToolbox.GetRadius(rho - rProbe, z + 2 * dp.zb);
foreach (var ft in fts)
{
Complex k =
(
(op.Mua * dp.cn + Complex.ImaginaryOne * ft * 2 * Math.PI) /
(dp.D * dp.cn)
).SquareRoot();
var phi1 = DiffusionGreensFunctions.TemporalFrequencyPointSourceImageGreensFunction(
dp, r11, r12, k);
var phi2 = DiffusionGreensFunctions.TemporalFrequencyPointSourceImageGreensFunction(
dp, r21, r22, k);
yield return((phi1 * phi2).Magnitude);
}
}
}
}
}
}
/// <summary>
/// Evaluate the stationary radially resolved z-flux with the point source-image
/// configuration
/// </summary>
/// <param name="rho">radial location</param>
/// <param name="z">depth location</param>
/// <param name="dp">DiffusionParamters object</param>
/// <returns></returns>
public double StationaryFlux(double rho, double z, DiffusionParameters dp)
{
var zSource = z - dp.zp;
var zImage = z + dp.zp + 2 * dp.zb;
return
(DiffusionGreensFunctions.StationaryPointSourceImageGreensFunctionZFlux(dp,
CalculatorToolbox.GetRadius(rho, zSource), zSource,
CalculatorToolbox.GetRadius(rho, zImage), zImage));
}
/// <summary>
/// Evaluate the stationary radially resolved fluence with the point source-image
/// configuration
/// </summary>
/// <param name="rho">radial location</param>
/// <param name="z">depth location</param>
/// <param name="dp">DiffusionParameters object</param>
/// <returns>fluence</returns>
public override double StationaryFluence(double rho, double z, DiffusionParameters dp)
{
return(DiffusionGreensFunctions.StationaryPointSourceImageGreensFunction(dp,
CalculatorToolbox.GetRadius(rho, z - dp.zp),
CalculatorToolbox.GetRadius(rho, z + dp.zp + 2 * dp.zb)));
}
public Complex TemporalFrequencyZFlux(
DiffusionParameters dp, double rho, double z, Complex k)
{
var zSource = z - dp.zp;
var zImage = z + dp.zp + 2 * dp.zb;
return(DiffusionGreensFunctions.TemporalFrequencyPointSourceImageGreensFunctionZFlux(dp,
CalculatorToolbox.GetRadius(rho, zSource), zSource,
CalculatorToolbox.GetRadius(rho, zImage), zImage,
k));
}
public override Complex TemporalFrequencyFluence(DiffusionParameters dp, double rho,
double z, Complex k)
{
return(DiffusionGreensFunctions.TemporalFrequencyPointSourceImageGreensFunction(dp,
CalculatorToolbox.GetRadius(rho, z - dp.zp),
CalculatorToolbox.GetRadius(rho, z + dp.zp + 2 * dp.zb),
k));
}
/// <summary>
/// Evaluate the temporally-radially resolved z-flux using the point source-image configuration
/// </summary>
/// <param name="dp">DiffusionParameters object</param>
/// <param name="rho">radial location</param>
/// <param name="z">depth location</param>
/// <param name="t">time</param>
/// <returns></returns>
public double TemporalFlux(
DiffusionParameters dp, double rho, double z, double t)
{
var zSource = z - dp.zp;
var zImage = z + dp.zp + 2 * dp.zb;
return(DiffusionGreensFunctions.TemporalPointSourceImageGreensFunctionZFlux(dp,
CalculatorToolbox.GetRadius(rho, zSource), zSource,
CalculatorToolbox.GetRadius(rho, zImage), zImage,
t));
}