supermirrors

Kristian Nielsen kristian.nielsen at risoe.dk
Fri Apr 23 15:59:43 CEST 1999


Hi,

> example in detail. mv = 0 has still reflectivity because of R0 = 1.0. If
> I would like to calculate a supermirror with mh = 3 and a non reflecting
> material mv for the sidewalls (it make sense to check the contribution

For this, you should modify the Guide2 component to always absorb when
m=0 (it is a very simple change). I have included some untested code
below, could you try it and let me know if it works (so I can put it on
the web page)?

The only change is the added lines

    if((i <= 2 && mv == 0) || (i > 2 && mh == 0))
      ABSORB;

 - Kristian.

------------------------------------------------------------------------
DEFINE COMPONENT Guide2
DEFINITION PARAMETERS (w1, h1, w2, h2, l, R0, Qc, alpha, mh, mv, W)
SETTING PARAMETERS ()
STATE PARAMETERS (x,y,z,vx,vy,vz,t,s1,s2,p)

TRACE
%{
  double t1,t2;                                 /* Intersection times. */
  double av,ah,bv,bh,cv1,cv2,ch1,ch2,d;         /* Intermediate values */
  double vdotn_v1,vdotn_v2,vdotn_h1,vdotn_h2;   /* Dot products. */
  int i;                                        /* Which mirror hit? */
  double q;                                     /* Q [1/AA] of reflection */
  double vlen2,nlen2;                           /* Vector lengths squared */

  /* ToDo: These could be precalculated. */
  double ww = .5*(w2 - w1), hh = .5*(h2 - h1);
  double whalf = .5*w1, hhalf = .5*h1;
  double lwhalf = l*whalf, lhhalf = l*hhalf;

  /* Propagate neutron to guide entrance. */
  PROP_Z0;
  if(x <= -whalf || x >= whalf || y <= -hhalf || y >= hhalf)
    ABSORB;
  for(;;)
  {
    /* Compute the dot products of v and n for the four mirrors. */
    av = l*vx; bv = ww*vz;
    ah = l*vy; bh = hh*vz;
    vdotn_v1 = bv + av;         /* Left vertical */
    vdotn_v2 = bv - av;         /* Right vertical */
    vdotn_h1 = bh + ah;         /* Lower horizontal */
    vdotn_h2 = bh - ah;         /* Upper horizontal */
    /* Compute the dot products of (O - r) and n as c1+c2 and c1-c2 */
    cv1 = -whalf*l - z*ww; cv2 = x*l;
    ch1 = -hhalf*l - z*hh; ch2 = y*l;
    /* Compute intersection times. */
    t1 = (l - z)/vz;
    i = 0;
    if(vdotn_v1 < 0 && (t2 = (cv1 - cv2)/vdotn_v1) < t1)
    {
      t1 = t2;
      i = 1;
    }
    if(vdotn_v2 < 0 && (t2 = (cv1 + cv2)/vdotn_v2) < t1)
    {
      t1 = t2;
      i = 2;
    }
    if(vdotn_h1 < 0 && (t2 = (ch1 - ch2)/vdotn_h1) < t1)
    {
      t1 = t2;
      i = 3;
    }
    if(vdotn_h2 < 0 && (t2 = (ch1 + ch2)/vdotn_h2) < t1)
    {
      t1 = t2;
      i = 4;
    }
    if(i == 0)
      break;                    /* Neutron left guide. */
    PROP_DT(t1);
    switch(i)
    {
      case 1:                   /* Left vertical mirror */
        nlen2 = l*l + ww*ww;
        q = V2Q*(-2)*vdotn_v1/sqrt(nlen2);
        d = 2*vdotn_v1/nlen2;
        vx = vx - d*l;
        vz = vz - d*ww;
        break;
      case 2:                   /* Right vertical mirror */
        nlen2 = l*l + ww*ww;
        q = V2Q*(-2)*vdotn_v2/sqrt(nlen2);
        d = 2*vdotn_v2/nlen2;
        vx = vx + d*l;
        vz = vz - d*ww;
        break;
      case 3:                   /* Lower horizontal mirror */
        nlen2 = l*l + hh*hh;
        q = V2Q*(-2)*vdotn_h1/sqrt(nlen2);
        d = 2*vdotn_h1/nlen2;
        vy = vy - d*l;
        vz = vz - d*hh;
        break;
      case 4:                   /* Upper horizontal mirror */
        nlen2 = l*l + hh*hh;
        q = V2Q*(-2)*vdotn_h2/sqrt(nlen2);
        d = 2*vdotn_h2/nlen2;
        vy = vy + d*l;
        vz = vz - d*hh;
        break;
    }
    /* Now compute reflectivity. */
    if((i <= 2 && mv == 0) || (i > 2 && mh == 0))
      ABSORB;
    if(q > Qc)
    {
      double arg = (q - (i <= 2 ? mv : mh)*Qc)/W;
      if(arg < 10)
        p *= .5*(1-tanh(arg))*(1-alpha*(q-Qc));
      else
        ABSORB;                               /* Cutoff ~ 1E-10 */
    }
    p *= R0;
  }
%}

END







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