Adding more info into VTK files in kernel calculation.

examples/KernelV0-2.cpp

@@ -41,9 +41,9 @@ int main(int argc, char** argv) {
         Kern->PushCoil( "Coil 2", Rx1 );
         Kern->SetLayeredEarthEM( earth );
 
-        Kern->SetIntegrationSize( (Vector3r() << 200,200,100).finished() );
-        Kern->SetIntegrationOrigin( (Vector3r() << -100, -100, .5).finished() );
-        Real tol(1e-11); // 13
+        Kern->SetIntegrationSize( (Vector3r() << 20.2151538,20.438572,100).finished() );
+        Kern->SetIntegrationOrigin( (Vector3r() << -10, -10, .5).finished() );
+        Real tol(1e-13); // 13
         Kern->SetTolerance( tol ); // 1e-12
 
 //         Kern->AlignWithAkvoDataset( YAML::LoadFile(argv[2]) );
@@ -65,7 +65,7 @@ int main(int argc, char** argv) {
         //VectorXr interfaces = VectorXr::LinSpaced( 41, .5, 45.5 ); // nlay, low, high
         //VectorXr interfaces = VectorXr::LinSpaced( 61, .5, 45.5 ); // nlay, low, high
         VectorXr interfaces = VectorXr::LinSpaced( 2, .5, 45.5 ); // nlay, low, high
-        Real thick = .5;
+        Real thick = .1;
         for (int ilay=1; ilay<interfaces.size(); ++ilay) {
             interfaces(ilay) = interfaces(ilay-1) + thick;
             thick *= 1.05;

include/KernelV0.h

@@ -34,11 +34,13 @@
 
 namespace Lemma {
 
+    // Holds the elliptic field construction of Bperp
+    // commented out variables are for error checking
     struct EllipticB {
         Real      alpha;
         Real      beta;
         Real      zeta;
-        Real      err;
+//        Real      err;
         Complex   eizt;
 //        Complex   BperpdotB;
         Vector3r  bhat;
@@ -188,7 +190,7 @@ namespace Lemma {
          *   @param[in] rx is the list of receivers to use for a kernel, use the same labels as
          *              used in PushCoil. @see PushCoil
          *   @param[in] vtkOutput generates a VTK hyperoctree file as well, useful for visualization.
-         *              requires compilation of Lemma with VTK.
+         *              requires compilation of Lemma with VTK. The VTK files can become very large.
          */
         void CalculateK0 (const std::vector< std::string >& tx, const std::vector< std::string >& rx,
                 bool vtkOutput=false );
@@ -306,9 +308,11 @@ namespace Lemma {
         std::map< std::string , std::shared_ptr< EMEarth1D > >             EMEarths;
 
         #ifdef LEMMAUSEVTK
-        std::map< int, VectorXcr  >               LeafDict;
-        std::map< int, int     >                  LeafDictIdx;
-        std::map< int, Real     >                 LeafDictErr;
+        std::map< int, VectorXcr >                LeafDict;      // kernel sum for each q
+        std::map< int, VectorXcr >                LeafHt;        // Transmitter field
+        std::map< int, VectorXcr >                LeafHr;        // Receiver field
+        std::map< int, int >                      LeafDictIdx;   // index
+        std::map< int, Real >                     LeafDictErr;   // error value
         #endif
 
         // Physical constants and conversion factors

src/KernelV0.cpp

@@ -148,6 +148,7 @@ namespace Lemma {
                 EMEarths[tx]->AttachFieldPoints( cpoints );
          		EMEarths[tx]->SetFieldsToCalculate(H);
                 // TODO query for method, altough with flat antennae, this is fastest
+                //EMEarths[tx]->SetHankelTransformMethod(FHTKEY201);
                 EMEarths[tx]->SetHankelTransformMethod(ANDERSON801);
                 EMEarths[tx]->SetTxRxMode(TX);
                 TxRx[tx]->SetCurrent(1.);
@@ -162,6 +163,7 @@ namespace Lemma {
                     EMEarths[rx]->AttachFieldPoints( cpoints );
          		    EMEarths[rx]->SetFieldsToCalculate(H);
                     // TODO query for method, altough with flat antennae, this is fastest
+                    //EMEarths[rx]->SetHankelTransformMethod(FHTKEY201);
                     EMEarths[rx]->SetHankelTransformMethod(ANDERSON801);
                     EMEarths[rx]->SetTxRxMode(RX);
                     TxRx[rx]->SetCurrent(1.);
@@ -313,6 +315,7 @@ namespace Lemma {
             //Real sintheta = std::sin(0.5*GAMMA*PulseI(iq)*Taup*(EBT.alpha-EBT.beta));
             //F(iq) = volume * Complex(EBT.Bperp.real().norm(), EBT.Bperp.imag().norm()); //Complex(sintheta, EBT.Bperp.norm() );
             //F(iq) = volume * Complex(EBT.alpha, EBT.beta);
+            //F(iq) = volume * MU0*Hr.norm();
             //F(iq) = volume * EBT.err;
             //F(iq) = volume * sintheta;
         }
@@ -356,13 +359,20 @@ namespace Lemma {
     //      Method:  ComputeV0Cell
     //--------------------------------------------------------------------------------------
     EllipticB KernelV0::EllipticFieldRep (const Vector3cr& B, const Vector3r& B0hat) {
-        // This all follows Weichman et. al., 2000. There are some numerical stability isseus
-        // below. Reformulating may be welcome, may be in B field calculation too.
+        // This all follows Weichman et al., 2000.
+        // There are some numerical stability issues that arise when the two terms in the beta
+        // formulation are nearly equivalent. The current formulation will result in a null-valued
+        // beta, although this does not entirely recreate the true value of B perp.
+        // Reformulating may be welcome
         EllipticB ElipB = EllipticB();
-        Vector3cr Bperp = B - B0hat.dot(B)*B0hat; // complex - real??
+        Vector3cr Bperp = B - B0hat.dot(B)*B0hat; // Eigen is OK with this
+        //Vector3r  Bperpr = B.real() - B0hat.dot(B.real())*B0hat;
+        //Vector3r  Bperpi = B.imag() - B0hat.dot(B.imag())*B0hat;
+        //Vector3cr Bperp = Bperpr + Complex(0,1)*Bperpi;
         //ElipB.BperpdotB = Bperp.dot(B0hat);       // TODO remove
         Real BperpNorm  = Bperp.norm();
-        Complex Bp2 = Bperp.transpose() * Bperp;
+        //Complex Bp2 = Bperp.transpose() * Bperp;
+        Complex Bp2 = Bperp.conjugate().dot(Bperp);
         VectorXcr iB0 = Complex(0,1)*B0hat.cast<Complex>().array();
         ElipB.eizt = std::sqrt(Bp2 / std::abs(Bp2));
         ElipB.alpha = INVSQRT2*std::sqrt(BperpNorm*BperpNorm + std::abs(Bp2));
@@ -372,16 +382,24 @@ namespace Lemma {
         ElipB.bhatp = B0hat.cross(ElipB.bhat);
         ElipB.zeta = std::real(std::log(ElipB.eizt)/Complex(0,1));
         /* use as an error check decomposed field - computed actual */
-        Vector3cr Bperp2 = ElipB.eizt * (ElipB.alpha * ElipB.bhat
-                       + (Complex(0,1) * ElipB.beta * ElipB.bhatp) );
-        ElipB.err = (Bperp-Bperp2).norm();
-        if (ElipB.err > 1e-12) {
-            std::cout << "Elip error\n";
-            std::cout << "Bperp \t" << Bperp.transpose() << std::endl;
-            std::cout << "Bperp2\t" << Bperp2.transpose() << std::endl;
-            std::cout << "err   \t" << ElipB.err << std::endl;
-        }
-        //std::cout << "B0\t" << B0hat.transpose() << std::endl;
+//         Vector3cr Bperp2 = ElipB.eizt * (ElipB.alpha * ElipB.bhat
+//                        + (Complex(0,1) * ElipB.beta * ElipB.bhatp) );
+//         ElipB.err = (Bperp-Bperp2).norm();
+//         if (ElipB.err > .01*Bperp.norm() ) {
+//             std::cout << "Elip error\n";
+//             Real Beta2 = sgn( std::real(iB0.dot( Bperp.cross(Bperp.conjugate())) )) *
+//                      (INVSQRT2*std::sqrt(BperpNorm*BperpNorm - std::abs(Bp2)));
+//             Vector3cr Bperp3 = ElipB.eizt * (ElipB.alpha * ElipB.bhat
+//                            + (Complex(0,1) * Beta2 * ElipB.bhatp) );
+//             std::cout << "Beta term0\t" << (INVSQRT2*std::sqrt(BperpNorm*BperpNorm - std::abs(Bp2))) << std::endl;
+//             std::cout << "Beta term1\t" << BperpNorm*BperpNorm << "\t" << std::abs(Bp2) << std::endl;
+//             std::cout << "Beta  \t" << ElipB.beta << std::endl;
+//             std::cout << "Beta2 \t" << Beta2 << std::endl;
+//             std::cout << "Bperp \t" << Bperp.transpose() << std::endl;
+//             std::cout << "Bperp2\t" << Bperp2.transpose() << std::endl;
+//             std::cout << "Bperp3\t" << Bperp3.transpose() << std::endl;
+//             std::cout << "err   \t" << ElipB.err << std::endl;
+//         }
         return ElipB;
     }
 
@@ -423,8 +441,6 @@ namespace Lemma {
         Eigen::Matrix<Complex, 3, 8> Hr = Eigen::Matrix<Complex, 3, 8>::Zero();
         for ( auto EMCalc : EMEarths ) {
 
-
-
             EMCalc.second->GetFieldPoints()->ClearFields();
             EMCalc.second->CalculateWireAntennaFields();
             switch (EMCalc.second->GetTxRxMode()) {
@@ -565,6 +581,8 @@ namespace Lemma {
         for (int ichild=0; ichild<8; ++ichild) {
             curse->ToChild(ichild);
             LeafDict[curse->GetLeafId()] = ksum/(8.*vol);
+            LeafHt[curse->GetLeafId()] = Ht.col(ichild);
+            LeafHr[curse->GetLeafId()] = Hr.col(ichild);
             LeafDictIdx[curse->GetLeafId()] = nleaves;
             curse->ToParent();
         }