Mott scattering

Kassiopeia/Bindings/CMakeLists.txt

@@ -119,6 +119,7 @@ set( BINDINGS_HEADER_FILES
     Interactions/Include/KSIntCalculatorHydrogenBuilder.h
     Interactions/Include/KSIntCalculatorIonBuilder.h
     Interactions/Include/KSIntCalculatorArgonBuilder.h
+    Interactions/Include/KSIntCalculatorMottBuilder.h
     Interactions/Include/KSIntCalculatorKESSBuilder.h
     Interactions/Include/KSIntScatteringBuilder.h
     Interactions/Include/KSIntSpinFlipBuilder.h
@@ -346,6 +347,7 @@ set( BINDINGS_SOURCE_FILES
     Interactions/Source/KSIntCalculatorHydrogenBuilder.cxx
     Interactions/Source/KSIntCalculatorIonBuilder.cxx
     Interactions/Source/KSIntCalculatorArgonBuilder.cxx
+    Interactions/Source/KSIntCalculatorMottBuilder.cxx
     Interactions/Source/KSIntCalculatorKESSBuilder.cxx
     Interactions/Source/KSIntScatteringBuilder.cxx
     Interactions/Source/KSIntSpinFlipBuilder.cxx

Kassiopeia/Bindings/Interactions/Include/KSIntCalculatorMottBuilder.h

@@ -0,0 +1,62 @@
+#ifndef Kassiopeia_KSIntCalculatorMottBuilder_h_
+#define Kassiopeia_KSIntCalculatorMottBuilder_h_
+
+#include "KComplexElement.hh"
+#include "KSIntCalculatorMott.h"
+
+using namespace Kassiopeia;
+namespace katrin
+{
+
+typedef KComplexElement<KSIntCalculatorMott> KSIntCalculatorMottBuilder;
+
+template<> inline bool KSIntCalculatorMottBuilder::AddAttribute(KContainer* aContainer)
+{
+    if (aContainer->GetName() == "name") {
+        aContainer->CopyTo(fObject, &KNamed::SetName);
+        return true;
+    }
+    if (aContainer->GetName() == "theta_min") {
+        aContainer->CopyTo(fObject, &KSIntCalculatorMott::SetThetaMin);
+
+        if ((fObject->GetThetaMin() <= 0.0)) {
+            initmsg(eError) << "\"" << fObject->GetThetaMin()
+                           << R"(" is an invalid lower bound for Mott scattering! Change to a value > 0)" << eom;
+
+            return false;
+        }
+        else {
+            return true;
+        }
+    }
+    if (aContainer->GetName() == "theta_max") {
+        aContainer->CopyTo(fObject, &KSIntCalculatorMott::SetThetaMax);
+        if ((fObject->GetThetaMax() > 180.0)) {
+            initmsg(eError) << "\"" << fObject->GetThetaMax()
+                           << R"(" is an invalid upper bound for Mott scattering! Change to a value < 180)" << eom;
+
+            return false;
+        }
+        else {
+            return true;
+        }
+    }
+    if (aContainer->GetName() == "nucleus") {
+        aContainer->CopyTo(fObject, &KSIntCalculatorMott::SetNucleus);
+
+        if ((fObject->GetNucleus().compare("He-4") != 0) && (fObject->GetNucleus().compare("Ne-20") != 0)) {
+            initmsg(eError) << "\"" << fObject->GetNucleus()
+                           << R"(" is not available for Mott scattering! Available gases: "He-4", "Ne-20")" << eom;
+
+            return false;
+        }
+        else {
+            return true;
+        }
+    }
+    return false;
+}
+
+}  // namespace katrin
+
+#endif

Kassiopeia/Bindings/Interactions/Source/KSIntCalculatorMottBuilder.cxx

@@ -0,0 +1,20 @@
+#include "KSIntCalculatorMottBuilder.h"
+
+#include "KSRootBuilder.h"
+
+using namespace Kassiopeia;
+using namespace std;
+
+namespace katrin
+{
+
+template<> KSIntCalculatorMottBuilder::~KComplexElement() = default;
+
+STATICINT sKSIntCalculatorMottStructure = KSIntCalculatorMottBuilder::Attribute<std::string>("name") +
+                                              KSIntCalculatorMottBuilder::Attribute<double>("theta_min") +
+                                              KSIntCalculatorMottBuilder::Attribute<double>("theta_max") +
+                                              KSIntCalculatorMottBuilder::Attribute<std::string>("nucleus");
+
+STATICINT sToolboxKSIntCalculatorMott =
+    KSRootBuilder::ComplexElement<KSIntCalculatorMott>("ksint_calculator_mott");
+}  // namespace katrin

Kassiopeia/Interactions/CMakeLists.txt

@@ -24,6 +24,7 @@ set( INTERACTIONS_HEADER_BASENAMES
     KSIntCalculatorIon.h
     KSIntCalculatorTritium.h
     KSIntCalculatorArgon.h
+    KSIntCalculatorMott.h
 
     KSIntSurfaceSpecular.h
     KSIntSurfaceUCN.h
@@ -78,6 +79,7 @@ set( INTERACTIONS_SOURCE_BASENAMES
     KSIntCalculatorIon.cxx
     KSIntCalculatorTritium.cxx
     KSIntCalculatorArgon.cxx
+    KSIntCalculatorMott.cxx
 
     KSIntSurfaceSpecular.cxx
     KSIntSurfaceUCN.cxx

Kassiopeia/Interactions/Include/KSIntCalculatorMott.h

@@ -0,0 +1,127 @@
+#ifndef Kassiopeia_KSIntCalculatorMott_h_
+#define Kassiopeia_KSIntCalculatorMott_h_
+
+#include "KField.h"
+#include "KSIntCalculator.h"
+
+/* 
+ * KSintCalculatorMott.h
+ * 
+ * Date: August 22, 2022
+ * Author: Junior Ivan Peña (juniorpe)
+ */
+
+namespace Kassiopeia
+{
+
+/* 
+ * The xml configuration for using this calculator is as follows: 
+ * <calculator_mott theta_min="[lower_bound]" theta_max="[upper_bound]"/>
+ * where [lower_bound] is the lower limit, in degrees, on the range of allowed scattering 
+ * angles and [upper_bound] is the upper limit. A theta_min of 0 is not allowed since the 
+ * Mott Cross Section has a singularity there. 
+ */
+class KSIntCalculatorMott : public KSComponentTemplate<KSIntCalculatorMott, KSIntCalculator>
+{
+  public:
+    KSIntCalculatorMott();
+    KSIntCalculatorMott(const KSIntCalculatorMott& aCopy);
+    KSIntCalculatorMott* Clone() const override;
+    ~KSIntCalculatorMott() override;
+
+  public:
+    void CalculateCrossSection(const KSParticle& anInitialParticle, double& aCrossSection) override;
+    void ExecuteInteraction(const KSParticle& anInitialParticle, KSParticle& aFinalParticle,
+                            KSParticleQueue& aSecondaries) override;
+
+  public:
+    ;
+    K_SET_GET(double, ThetaMin);  // radians
+    ;
+    K_SET_GET(double, ThetaMax);  // radians
+    ;
+    K_SET_GET(std::string, Nucleus);
+
+  public:
+    /**
+            * \brief Returns scattering angle sampled from Mott Differential Cross Seciton for a given 
+            * incoming electron energy. Sampling is done using using inverse transform sampling of 
+            * Rutherford Differential Cross Section, then rejection sampling with a rescaled Ruth. Diff. X-Sec
+            *  
+            * \parameter electron's initial kinetic energy
+            * 
+            * \return Scatter angle
+            */
+    double GetTheta(const double& anEnergy);
+
+    /**
+            * \brief Calculates energy loss after electron scatters using equation (1.51) in:
+            * C. Leroy and P.G. Rancoita, Principles of Radiation Interaction in Matter and Detection, 
+            * 2nd Edition, World Scientific (Singapore) 2009.
+            *  
+            * \parameters electron's initial kinetic energy, scattering angle
+            * 
+            * \return Electron's energy loss
+            */
+    double GetEnergyLoss(const double& anEnergy, const double& aTheta);
+    /**
+            * \parameter Electron's initial kinetic energy
+            *  
+            * \return Electron's natural velocity beta = v/c
+            */
+    double Beta(double const E0);
+    /**
+            * \brief Takes in the electron's initial energy and calculates the coefficients used in the 
+            * RMott calculation for He corresponding to equation (25) in: 
+            * M.J Boschini, C. Consolandi, M. Gervasi, et al., J. Radiat. Phys. Chem. 90 (2013) 36-66.
+            * 
+            * \parameter Electron's initial kinetic energy
+            * 
+            * \return Vector containing 5 calculated coeffecients of a
+            */
+    std::vector<double> RMott_coeffs(double const E0);
+    /**
+            * \brief Returns the Mott Differential Cross Section(from equation (3) and (24) in: M.J Boschini, 
+            * C. Consolandi, M. Gervasi, et al., J. Radiat. Phys. Chem. 90 (2013) 36-66.) Used for rejection 
+            * sampling in GetTheta function
+            * 
+            * \parameter Electron's initial kinetic energy and scatter angle
+            *
+            * \return Mott Differential Cross Section 
+            *  
+            */
+    double MDCS(double theta, const double E0);
+    /**
+            * \brief Calculates the analytical integral result of the Mott Differential Cross Section(from
+            * equation (3) and (24) in: M.J Boschini, C. Consolandi, M. Gervasi, et al., J. Radiat. Phys. Chem. 90 (2013) 36-66.)
+            * within the bounds [fThetaMin, theta] for a given electron initial kinetic energy and some 
+            * integral upper bound theta
+            * 
+            * \parameter Electron's initial kinetic energy, integral upper bound theta
+            *
+            * \return Integral of Mott Differential Cross Section from fThetaMin to theta
+            *  
+            */
+    double MTCS(double theta, const double E0);
+    /**
+            * \brief Used for rejection sampling in GetTheta function
+            * 
+            * \parameter Scatter Angle
+            *
+            * \return Rutherford Differential Cross Section normalized in range [fThetaMin, fThetaMax] 
+            *  
+            */
+    double Normalized_RDCS(double theta);
+    /**
+            * \brief Used for inverse transform sampling for obtaining scatter angle in GetTheta function
+            *
+            * \return Inverse of normalized Rutherford Differential Cross Section in range [fThetaMin, fThetaMax] 
+            *  
+            */
+    double Normalized_RTCSInverse(double x);
+
+};
+
+}  // namespace Kassiopeia
+
+#endif