twocont.c

spice中支持多层次元件模型仿真的可单独运行的插件源码

	if ( index IS 0 OR index IS 3 ) {
	  pVEdge = pLEdge;
	} else {
	  pVEdge = pREdge;
	}
	/* Add surface state charges. */
	pRhs[ pNode->psiEqn ] += dx * pHEdge->qf;
	pRhs[ pNode->psiEqn ] += dy * pVEdge->qf;
	if ( pElem->elemType IS SEMICON ) {
	  *(pNode->fPsiN) += dxdy;
	  *(pNode->fPsiP) -= dxdy;
	  *(pNode->fNPsi) -= dy * pHEdge->dJnDpsiP1 + 
	    dx * pVEdge->dJnDpsiP1;
	  *(pNode->fPPsi) -= dy * pHEdge->dJpDpsiP1 +
	    dx * pVEdge->dJpDpsiP1;
	  
	  nConc = *(pDevice->devState0 + pNode->nodeN);
	  pConc = *(pDevice->devState0 + pNode->nodeP);
	  pRhs[ pNode->psiEqn ] += dxdy * (pNode->netConc + pConc - nConc);
	  
	  /* Handle generation terms */
	  *(pNode->fNN) -= dxdy * pNode->dUdN;
	  *(pNode->fNP) -= dxdy * pNode->dUdP;
	  *(pNode->fPP) += dxdy * pNode->dUdP;
	  *(pNode->fPN) += dxdy * pNode->dUdN;
	  rhsN = - dxdy * pNode->uNet;
	  rhsP =   dxdy * pNode->uNet;
	  if ( AvalancheGen ) {
	    generation = TWOavalanche( pElem, pNode );
	    rhsN += dxdy * generation;
	    rhsP -= dxdy * generation;
	  }
	  pRhs[ pNode->nEqn ] -= rhsN;
	  pRhs[ pNode->pEqn ] -= rhsP;
	  
	  /* Handle dXdT continuity terms */
	  if ( tranAnalysis ) {
	    *(pNode->fNN) -= dxdy * perTime;
	    *(pNode->fPP) += dxdy * perTime;
	    pRhs[ pNode->nEqn ] += dxdy * pNode->dNdT;
	    pRhs[ pNode->pEqn ] -= dxdy * pNode->dPdT;
	  }
	}
      }
    }
    
    /* Handle neighbor and edge dependent terms */
    pNode = pElem->pTLNode;
    if ( pNode->nodeType ISNOT CONTACT ) {
      pRhs[ pNode->psiEqn ] -= -dyOverDx * dPsiT - dxOverDy * dPsiL;
      *(pNode->fPsiPsiiP1) -= dyOverDx;
      *(pNode->fPsiPsijP1) -= dxOverDy;
      if ( pElem->elemType IS SEMICON ) {
	pRhs[ pNode->nEqn ] -= dy * pTEdge->jn + dx * pLEdge->jn;
	pRhs[ pNode->pEqn ] -= dy * pTEdge->jp + dx * pLEdge->jp;
	*(pNode->fNN) += dy * pTEdge->dJnDn + dx * pLEdge->dJnDn;
	*(pNode->fPP) += dy * pTEdge->dJpDp + dx * pLEdge->dJpDp;
	*(pNode->fNPsiiP1) += dy * pTEdge->dJnDpsiP1;
	*(pNode->fNNiP1) += dy * pTEdge->dJnDnP1;
	*(pNode->fPPsiiP1) += dy * pTEdge->dJpDpsiP1;
	*(pNode->fPPiP1) += dy * pTEdge->dJpDpP1;
	*(pNode->fNPsijP1) += dx * pLEdge->dJnDpsiP1;
	*(pNode->fNNjP1) += dx * pLEdge->dJnDnP1;
	*(pNode->fPPsijP1) += dx * pLEdge->dJpDpsiP1;
	*(pNode->fPPjP1) += dx * pLEdge->dJpDpP1;
      }
    }
    pNode = pElem->pTRNode;
    if ( pNode->nodeType ISNOT CONTACT ) {
      pRhs[ pNode->psiEqn ] -= dyOverDx * dPsiT - dxOverDy * dPsiR;
      *(pNode->fPsiPsiiM1) -= dyOverDx;
      *(pNode->fPsiPsijP1) -= dxOverDy;
      if ( pElem->elemType IS SEMICON ) {
	pRhs[ pNode->nEqn ] -= -dy * pTEdge->jn + dx * pREdge->jn;
	pRhs[ pNode->pEqn ] -= -dy * pTEdge->jp + dx * pREdge->jp;
	*(pNode->fNN) += -dy * pTEdge->dJnDnP1 + dx * pREdge->dJnDn;
	*(pNode->fPP) += -dy * pTEdge->dJpDpP1 + dx * pREdge->dJpDp;
	*(pNode->fNPsiiM1) += dy * pTEdge->dJnDpsiP1;
	*(pNode->fNNiM1) -= dy * pTEdge->dJnDn;
	*(pNode->fPPsiiM1) += dy * pTEdge->dJpDpsiP1;
	*(pNode->fPPiM1) -= dy * pTEdge->dJpDp;
	*(pNode->fNPsijP1) += dx * pREdge->dJnDpsiP1;
	*(pNode->fNNjP1) += dx * pREdge->dJnDnP1;
	*(pNode->fPPsijP1) += dx * pREdge->dJpDpsiP1;
	*(pNode->fPPjP1) += dx * pREdge->dJpDpP1;
      }
    }
    pNode = pElem->pBRNode;
    if ( pNode->nodeType ISNOT CONTACT ) {
      pRhs[ pNode->psiEqn ] -= dyOverDx * dPsiB + dxOverDy * dPsiR;
      *(pNode->fPsiPsiiM1) -= dyOverDx;
      *(pNode->fPsiPsijM1) -= dxOverDy;
      if ( pElem->elemType IS SEMICON ) {
	pRhs[ pNode->nEqn ] -= -dy * pBEdge->jn - dx * pREdge->jn;
	pRhs[ pNode->pEqn ] -= -dy * pBEdge->jp - dx * pREdge->jp;
	*(pNode->fNN) += -dy * pBEdge->dJnDnP1 - dx * pREdge->dJnDnP1;
	*(pNode->fPP) += -dy * pBEdge->dJpDpP1 - dx * pREdge->dJpDpP1;
	*(pNode->fNPsiiM1) += dy * pBEdge->dJnDpsiP1;
	*(pNode->fNNiM1) -= dy * pBEdge->dJnDn;
	*(pNode->fPPsiiM1) += dy * pBEdge->dJpDpsiP1;
	*(pNode->fPPiM1) -= dy * pBEdge->dJpDp;
	*(pNode->fNPsijM1) += dx * pREdge->dJnDpsiP1;
	*(pNode->fNNjM1) -= dx * pREdge->dJnDn;
	*(pNode->fPPsijM1) += dx * pREdge->dJpDpsiP1;
	*(pNode->fPPjM1) -= dx * pREdge->dJpDp;
      }
    }
    pNode = pElem->pBLNode;
    if ( pNode->nodeType ISNOT CONTACT ) {
      pRhs[ pNode->psiEqn ] -= -dyOverDx * dPsiB + dxOverDy * dPsiL;
      *(pNode->fPsiPsiiP1) -= dyOverDx;
      *(pNode->fPsiPsijM1) -= dxOverDy;
      if ( pElem->elemType IS SEMICON ) {
	pRhs[ pNode->nEqn ] -= dy * pBEdge->jn - dx * pLEdge->jn;
	pRhs[ pNode->pEqn ] -= dy * pBEdge->jp - dx * pLEdge->jp;
	*(pNode->fNN) += dy * pBEdge->dJnDn - dx * pLEdge->dJnDnP1;
	*(pNode->fPP) += dy * pBEdge->dJpDp - dx * pLEdge->dJpDpP1;
	*(pNode->fNPsiiP1) += dy * pBEdge->dJnDpsiP1;
	*(pNode->fNNiP1) += dy * pBEdge->dJnDnP1;
	*(pNode->fPPsiiP1) += dy * pBEdge->dJpDpsiP1;
	*(pNode->fPPiP1) += dy * pBEdge->dJpDpP1;
	*(pNode->fNPsijM1) += dx * pLEdge->dJnDpsiP1;
	*(pNode->fNNjM1) -= dx * pLEdge->dJnDn;
	*(pNode->fPPsijM1) += dx * pLEdge->dJpDpsiP1;
	*(pNode->fPPjM1) -= dx * pLEdge->dJpDp;
      }
    }
  }
  
  /* Calculate the Inversion-Layer Mobility Dependent Terms in Jac. */
  if ( MobDeriv AND SurfaceMobility ) {
    for ( pCh = pDevice->pChannel; pCh ISNOT NIL(TWOchannel);
	 pCh = pCh->next ) {
      /* Find effective height of oxide element at interface. */
      if ( pCh->type%2 == 0 ) { /* Vertical slice */
	ds = pCh->pNElem->dy / pCh->pNElem->epsRel;
      } else {			/* Horizontal slice */
	ds = pCh->pNElem->dx / pCh->pNElem->epsRel;
      }
      pElem = pCh->pSeed;
      nextIndex = (pCh->type + 2)%4;
      while (pElem && pElem->channel == pCh->id) {  
	TWO_mobDeriv( pElem, pCh->type, ds );
	pElem = pElem->pElems[ nextIndex ];
      }
    } /* endfor pCh ISNOT NIL */
  } /* endif MobDeriv and SurfaceMobility */
}


/* this function used only for direct method ac analysis 
   Used to load only the dc Jacobian matrix. Rhs is unaffected
   */

void 
  TWO_jacLoad( pDevice ) 
TWOdevice *pDevice;
{
  TWOelem *pElem;
  TWOnode *pNode;
  TWOedge *pHEdge, *pVEdge;
  TWOedge *pTEdge, *pBEdge, *pLEdge, *pREdge;
  TWOchannel *pCh;
  int index, eIndex;
  int nextIndex;			/* index of node to find next element */
  double dx, dy, dxdy, dyOverDx, dxOverDy;
  double ds;
  void spClear(), TWO_commonTerms();
  
  /* first compute the currents and derivatives */
  TWO_commonTerms( pDevice, FALSE, FALSE, NIL(TWOtranInfo) );
  
  /* zero the matrix */
  spClear( pDevice->matrix );
  
  for ( eIndex = 1; eIndex <= pDevice->numElems; eIndex++ ) {
    pElem = pDevice->elements[ eIndex ];
    dx = 0.5 * pElem->dx;
    dy = 0.5 * pElem->dy;
    dxdy = dx * dy;
    dxOverDy = 0.5 * pElem->epsRel * pElem->dxOverDy;
    dyOverDx = 0.5 * pElem->epsRel * pElem->dyOverDx;
    
    pTEdge = pElem->pTopEdge;
    pBEdge = pElem->pBotEdge;
    pLEdge = pElem->pLeftEdge;
    pREdge = pElem->pRightEdge;
    
    /* load for all i,j */
    for ( index = 0; index <= 3; index++ ) {
      pNode = pElem->pNodes[ index ];
      if ( pNode->nodeType ISNOT CONTACT ) {
	*(pNode->fPsiPsi) += dyOverDx + dxOverDy;
	if ( pElem->elemType IS SEMICON ) {
	  if ( index <= 1 ) {
	    pHEdge = pTEdge;
	  } else {
	    pHEdge = pBEdge;
	  }
	  if ( index IS 0 OR index IS 3 ) {
	    pVEdge = pLEdge;
	  } else {
	    pVEdge = pREdge;
	  }
	  *(pNode->fPsiN) += dxdy;
	  *(pNode->fPsiP) -= dxdy;
	  *(pNode->fNPsi) -= dy * pHEdge->dJnDpsiP1 + 
	    dx * pVEdge->dJnDpsiP1;
	  *(pNode->fPPsi) -= dy * pHEdge->dJpDpsiP1 +
	    dx * pVEdge->dJpDpsiP1;
	  
	  /* Handle generation terms */
	  *(pNode->fNN) -= dxdy * pNode->dUdN;
	  *(pNode->fNP) -= dxdy * pNode->dUdP;
	  *(pNode->fPP) += dxdy * pNode->dUdP;
	  *(pNode->fPN) += dxdy * pNode->dUdN;
	}
      }
    }
    
    /* Handle neighbor and edge dependent terms */
    pNode = pElem->pTLNode;
    if ( pNode->nodeType ISNOT CONTACT ) {
      *(pNode->fPsiPsiiP1) -= dyOverDx;
      *(pNode->fPsiPsijP1) -= dxOverDy;
      if ( pElem->elemType IS SEMICON ) {
	*(pNode->fNN) += dy * pTEdge->dJnDn + dx * pLEdge->dJnDn;
	*(pNode->fPP) += dy * pTEdge->dJpDp + dx * pLEdge->dJpDp;
	*(pNode->fNPsiiP1) += dy * pTEdge->dJnDpsiP1;
	*(pNode->fNNiP1) += dy * pTEdge->dJnDnP1;
	*(pNode->fPPsiiP1) += dy * pTEdge->dJpDpsiP1;
	*(pNode->fPPiP1) += dy * pTEdge->dJpDpP1;
	*(pNode->fNPsijP1) += dx * pLEdge->dJnDpsiP1;
	*(pNode->fNNjP1) += dx * pLEdge->dJnDnP1;
	*(pNode->fPPsijP1) += dx * pLEdge->dJpDpsiP1;
	*(pNode->fPPjP1) += dx * pLEdge->dJpDpP1;
      }
    }
    pNode = pElem->pTRNode;
    if ( pNode->nodeType ISNOT CONTACT ) {
      *(pNode->fPsiPsiiM1) -= dyOverDx;
      *(pNode->fPsiPsijP1) -= dxOverDy;
      if ( pElem->elemType IS SEMICON ) {
	*(pNode->fNN) += -dy * pTEdge->dJnDnP1 + dx * pREdge->dJnDn;
	*(pNode->fPP) += -dy * pTEdge->dJpDpP1 + dx * pREdge->dJpDp;
	*(pNode->fNPsiiM1) += dy * pTEdge->dJnDpsiP1;
	*(pNode->fNNiM1) -= dy * pTEdge->dJnDn;
	*(pNode->fPPsiiM1) += dy * pTEdge->dJpDpsiP1;
	*(pNode->fPPiM1) -= dy * pTEdge->dJpDp;
	*(pNode->fNPsijP1) += dx * pREdge->dJnDpsiP1;
	*(pNode->fNNjP1) += dx * pREdge->dJnDnP1;
	*(pNode->fPPsijP1) += dx * pREdge->dJpDpsiP1;
	*(pNode->fPPjP1) += dx * pREdge->dJpDpP1;
      }
    }
    pNode = pElem->pBRNode;
    if ( pNode->nodeType ISNOT CONTACT ) {
      *(pNode->fPsiPsiiM1) -= dyOverDx;
      *(pNode->fPsiPsijM1) -= dxOverDy;
      if ( pElem->elemType IS SEMICON ) {
	*(pNode->fNN) += -dy * pBEdge->dJnDnP1 - dx * pREdge->dJnDnP1;
	*(pNode->fPP) += -dy * pBEdge->dJpDpP1 - dx * pREdge->dJpDpP1;
	*(pNode->fNPsiiM1) += dy * pBEdge->dJnDpsiP1;
	*(pNode->fNNiM1) -= dy * pBEdge->dJnDn;
	*(pNode->fPPsiiM1) += dy * pBEdge->dJpDpsiP1;
	*(pNode->fPPiM1) -= dy * pBEdge->dJpDp;
	*(pNode->fNPsijM1) += dx * pREdge->dJnDpsiP1;
	*(pNode->fNNjM1) -= dx * pREdge->dJnDn;
	*(pNode->fPPsijM1) += dx * pREdge->dJpDpsiP1;
	*(pNode->fPPjM1) -= dx * pREdge->dJpDp;
      }
    }
    pNode = pElem->pBLNode;
    if ( pNode->nodeType ISNOT CONTACT ) {
      *(pNode->fPsiPsiiP1) -= dyOverDx;
      *(pNode->fPsiPsijM1) -= dxOverDy;
      if ( pElem->elemType IS SEMICON ) {
	*(pNode->fNN) += dy * pBEdge->dJnDn - dx * pLEdge->dJnDnP1;
	*(pNode->fPP) += dy * pBEdge->dJpDp - dx * pLEdge->dJpDpP1;
	*(pNode->fNPsiiP1) += dy * pBEdge->dJnDpsiP1;
	*(pNode->fNNiP1) += dy * pBEdge->dJnDnP1;
	*(pNode->fPPsiiP1) += dy * pBEdge->dJpDpsiP1;
	*(pNode->fPPiP1) += dy * pBEdge->dJpDpP1;
	*(pNode->fNPsijM1) += dx * pLEdge->dJnDpsiP1;
	*(pNode->fNNjM1) -= dx * pLEdge->dJnDn;
	*(pNode->fPPsijM1) += dx * pLEdge->dJpDpsiP1;
	*(pNode->fPPjM1) -= dx * pLEdge->dJpDp;
      }
    }
  }

  /* Calculate the Inversion-Layer Mobility Dependent Terms in Jac. */
  if ( MobDeriv AND SurfaceMobility ) {
    for ( pCh = pDevice->pChannel; pCh ISNOT NIL(TWOchannel);
	 pCh = pCh->next ) {
      /* Find effective height of oxide element at interface. */
      if ( pCh->type%2 == 0 ) { /* Vertical slice */
	ds = pCh->pNElem->dy / pCh->pNElem->epsRel;
      } else {			/* Horizontal slice */
	ds = pCh->pNElem->dx / pCh->pNElem->epsRel;
      }
      pElem = pCh->pSeed;
      nextIndex = (pCh->type + 2)%4;
      while (pElem && pElem->channel == pCh->id) {  
	TWO_mobDeriv( pElem, pCh->type, ds );
	pElem = pElem->pElems[ nextIndex ];
      }
    } /* endfor pCh ISNOT NIL */
  } /* endif MobDeriv and SurfaceMobility */
}

/* load only the Rhs vector */
void 
  TWO_rhsLoad( pDevice, tranAnalysis, info ) 
TWOdevice *pDevice;
BOOLEAN tranAnalysis;
TWOtranInfo *info;
{
  TWOelem *pElem;
  TWOnode *pNode;
  TWOedge *pHEdge, *pVEdge;
  TWOedge *pTEdge, *pBEdge, *pLEdge, *pREdge;
  TWOchannel *pCh;
  int index, eIndex;
  double *pRhs = pDevice->rhs;
  double dx, dy, dxdy, dyOverDx, dxOverDy;
  double dPsiT, dPsiB, dPsiL, dPsiR;
  double rhsN, rhsP;
  double generation, TWOavalanche();
  double nConc, pConc;
  double perTime;
  void TWO_commonTerms();
  
  /* first compute the currents */
  TWO_commonTerms( pDevice, TRUE, tranAnalysis, info );
  
  /* find reciprocal timestep */
  if ( tranAnalysis ) {
    perTime = info->intCoeff[0];
  }
  
  /* zero the rhs vector */
  for ( index = 1 ; index <= pDevice->numEqns ; index++ ) {
    pRhs[ index ] = 0.0;
  }
  
  for ( eIndex = 1; eIndex <= pDevice->numElems; eIndex++ ) {
    pElem = pDevice->elements[ eIndex ];

    dx = 0.5 * pElem->dx;
    dy = 0.5 * pElem->dy;
    dxdy = dx * dy;
    dxOverDy = 0.5 * pElem->epsRel * pElem->dxOverDy;
    dyOverDx = 0.5 * pElem->epsRel * pElem->dyOverDx;