/********** Copyright 1991 Regents of the University of California. All rights reserved. Author: 1987 Kartikeya Mayaram, U. C. Berkeley CAD Group Author: 1990 David A. Gates, U. C. Berkeley CAD Group **********/ #include "ngspice.h" #include "numglobs.h" #include "numenum.h" #include "twomesh.h" #include "twoddefs.h" #include "twodext.h" double TWOavalanche(TWOelem *pElem, TWOnode *pNode) { TWOelem *pElemTL, *pElemTR, *pElemBL, *pElemBR; TWOedge *pEdgeT, *pEdgeB, *pEdgeL, *pEdgeR; int materT = 0 , materB = 0, materL = 0 , materR = 0; double dxL = 0.0, dxR = 0.0, dyT = 0.0, dyB = 0.0; double ef1, ef2, coeff1, coeff2; double enx, eny, epx, epy, jnx, jny, jpx, jpy; double current, eField; double generation = 0.0; double eiip2 = 4.0e5 / ENorm; double aiip2 = 6.71e5 * LNorm; double biip2 = 1.693e6 / ENorm; TWOmaterial *info = pElem->matlInfo; /* Find all four neighboring elements */ pElemTL = pNode->pTLElem; pElemTR = pNode->pTRElem; pElemBL = pNode->pBLElem; pElemBR = pNode->pBRElem; /* Null edge pointers */ pEdgeT = pEdgeB = pEdgeL = pEdgeR = NIL(TWOedge); /* Find edges next to node */ if ( pElemTL != NIL(TWOelem) ) { if (pElemTL->evalEdges[1]) { pEdgeT = pElemTL->pRightEdge; materT = pElemTL->elemType; dyT = pElemTL->dy; } if (pElemTL->evalEdges[2]) { pEdgeL = pElemTL->pBotEdge; materL = pElemTL->elemType; dxL = pElemTL->dx; } } if ( pElemTR != NIL(TWOelem) ) { if (pElemTR->evalEdges[3]) { pEdgeT = pElemTR->pLeftEdge; materT = pElemTR->elemType; dyT = pElemTR->dy; } if (pElemTR->evalEdges[2]) { pEdgeR = pElemTR->pBotEdge; materR = pElemTR->elemType; dxR = pElemTR->dx; } } if ( pElemBR != NIL(TWOelem) ) { if (pElemBR->evalEdges[3]) { pEdgeB = pElemBR->pLeftEdge; materB = pElemBR->elemType; dyB = pElemBR->dy; } if (pElemBR->evalEdges[0]) { pEdgeR = pElemBR->pTopEdge; materR = pElemBR->elemType; dxR = pElemBR->dx; } } if ( pElemBL != NIL(TWOelem) ) { if (pElemBL->evalEdges[1]) { pEdgeB = pElemBL->pRightEdge; materB = pElemBL->elemType; dyB = pElemBL->dy; } if (pElemBL->evalEdges[0]) { pEdgeL = pElemBL->pTopEdge; materL = pElemBL->elemType; dxL = pElemBL->dx; } } /* compute horizontal vector components */ /* No more than one of Left Edge or Right Edge is absent */ /* If one is absent the other is guaranteed to be from silicon */ if (pEdgeL == NIL(TWOedge)) { if ( pNode->nodeType == CONTACT ) { enx = -(pEdgeR->dPsi + pEdgeR->dCBand) / dxR; epx = -(pEdgeR->dPsi - pEdgeR->dVBand) / dxR; jnx = pEdgeR->jn; jpx = pEdgeR->jp; } else { enx = 0.0; epx = 0.0; jnx = 0.0; jpx = 0.0; } } else if (pEdgeR == NIL(TWOedge)) { if ( pNode->nodeType == CONTACT ) { enx = -(pEdgeL->dPsi + pEdgeL->dCBand) / dxL; epx = -(pEdgeL->dPsi - pEdgeL->dVBand) / dxL; jnx = pEdgeL->jn; jpx = pEdgeL->jp; } else { enx = 0.0; epx = 0.0; jnx = 0.0; jpx = 0.0; } } else { /* Both edges are present */ coeff1 = dxL / (dxL + dxR); coeff2 = dxR / (dxL + dxR); ef1 = -(pEdgeL->dPsi + pEdgeL->dCBand) / dxL; ef2 = -(pEdgeR->dPsi + pEdgeR->dCBand) / dxR; enx = coeff2 * ef1 + coeff1 * ef2; ef1 = -(pEdgeL->dPsi - pEdgeL->dVBand) / dxL; ef2 = -(pEdgeR->dPsi - pEdgeR->dVBand) / dxR; epx = coeff2 * ef1 + coeff1 * ef2; if ( (materL == INSULATOR) || (materR == INSULATOR) ) { jnx = 0.0; jpx = 0.0; } else { jnx = coeff2 * pEdgeL->jn + coeff1 * pEdgeR->jn; jpx = coeff2 * pEdgeL->jp + coeff1 * pEdgeR->jp; } } /* compute vertical vector components */ /* No more than one of Top Edge or Bottom Edge is absent */ /* If one is absent the other is guaranteed to be from silicon */ if (pEdgeT == NIL(TWOedge)) { if ( pNode->nodeType == CONTACT ) { eny = -(pEdgeB->dPsi + pEdgeB->dCBand) / dyB; epy = -(pEdgeB->dPsi - pEdgeB->dVBand) / dyB; jny = pEdgeB->jn; jpy = pEdgeB->jp; } else { eny = 0.0; epy = 0.0; jny = 0.0; jpy = 0.0; } } else if (pEdgeB == NIL(TWOedge)) { if ( pNode->nodeType == CONTACT ) { eny = -(pEdgeT->dPsi + pEdgeT->dCBand) / dyT; epy = -(pEdgeT->dPsi - pEdgeT->dVBand) / dyT; jny = pEdgeT->jn; jpy = pEdgeT->jp; } else { eny = 0.0; epy = 0.0; jny = 0.0; jpy = 0.0; } } else { /* Both edges are present */ coeff1 = dyT / (dyT + dyB); coeff2 = dyB / (dyT + dyB); ef1 = -(pEdgeT->dPsi + pEdgeT->dCBand) / dyT; ef2 = -(pEdgeB->dPsi + pEdgeB->dCBand) / dyB; eny = coeff2 * ef1 + coeff1 * ef2; ef1 = -(pEdgeT->dPsi - pEdgeT->dVBand) / dyT; ef2 = -(pEdgeB->dPsi - pEdgeB->dVBand) / dyB; epy = coeff2 * ef1 + coeff1 * ef2; if ( (materT == INSULATOR) || (materB == INSULATOR) ) { jny = 0.0; jpy = 0.0; } else { jny = coeff2 * pEdgeT->jn + coeff1 * pEdgeB->jn; jpy = coeff2 * pEdgeT->jp + coeff1 * pEdgeB->jp; } } /* fprintf(stderr,"%% en = (%9.2e,%9.2e), jn = (%9.2e,%9.2e)\n", enx,eny,jnx,jny); fprintf(stderr,"%% ep = (%9.2e,%9.2e), jp = (%9.2e,%9.2e)\n", epx,epy,jpx,jpy); */ /* now calculate the avalanche generation rate */ current = sqrt( jnx * jnx + jny * jny ); if ( current != 0.0 ) { eField = (enx * jnx + eny * jny) / current; if ( (eField > 0) && ( info->bii[ELEC] / eField <= 80.0) ) { generation += current * info->aii[ELEC] * exp( - info->bii[ELEC] / eField ); } } current = sqrt( jpx * jpx + jpy * jpy ); if ( current != 0.0 ) { eField = (epx * jpx + epy * jpy) / current; if ( eField > eiip2 ) { generation += current * aiip2 * exp( - biip2 / eField ); } else if ( (eField > 0) && ( info->bii[HOLE] / eField <= 80.0) ) { generation += current * info->aii[HOLE] * exp( - info->bii[HOLE] / eField ); } } return( generation ); }