public static matrica umnozh(matrica m1_, matrica m2_)
{
double pa = m1_.a * m2_.a + m1_.b * m2_.c;
double pb = m1_.a * m2_.b + m1_.b * m2_.d;
double pc = m1_.c * m2_.a + m1_.d * m2_.c;
double pd = m1_.c * m2_.b + m1_.d * m2_.d;
matrica p_ = new matrica(pa, pb, pc, pd);
return(p_);
}
public static double radius(matrica XX, double YZR, double YZ0, double YLAMBDA)
{
double o1 = -1 * YZR * XX.a;
double o2 = XX.a * YZ0 + XX.b;
double o3 = -1 * YZR * XX.c;
double o4 = XX.c * YZ0 + XX.d;
double qRe = ((o2 * o4) + (o1 * o3)) / ((o4 * o4) + (o3 * o3));
double qIm = ((o1 * o4) - (o2 * o3)) / ((o4 * o4) + (o3 * o3));
double radius_ = Math.Sqrt(-1 * (YLAMBDA / Math.PI) * qIm * (1 + ((qRe / qIm) * (qRe / qIm))));
return(radius_);
}
static void Main(string[] args)
{
// variant 6
double lambda = 0.002570;
double R1 = 400;
double R2 = 400;
double f = 200;
double L = 500;
double L1 = 200;
double Dfiber = 0.6;
double NAfiber = 0.22;
double L2 = L - L1;
double L_ = L1 + L2 - ((L1 * L2) / f);
double g1 = 1 - (L2 / f) - (L_ / R1);
double g2 = 1 - (L1 / f) - (L_ / R2);
double w1 = Math.Sqrt((lambda * L_ / Math.PI) * Math.Sqrt(g2 / (g1 * (1 - (g1 * g2)))));
double w2 = Math.Sqrt((lambda * L_ / Math.PI) * Math.Sqrt(g1 / (g2 * (1 - (g1 * g2)))));
double z0 = R2 / (1 + ((R2 / (Math.PI * w2 * w2 / lambda)) * (R2 / (Math.PI * w2 * w2 / lambda))));
double w0 = Math.Sqrt(((w2 * w2) - Math.Sqrt((w2 * w2 * w2 * w2) - (4 * ((lambda * z0 / Math.PI) * (lambda * z0 / Math.PI))))) / 2);
double thetamax = Math.Asin(NAfiber);
double zR = Math.PI * w0 * w0 / lambda;
double w = 0;
double theta = 0;
double dw = 10;
double dtheta = 10;
double mw = 0;
double mtheta = 0;
double mf1 = 0;
double mLObj = 0;
double mf2 = 0;
matrica st1 = new matrica(0, 0, 0, 0);
matrica st2 = new matrica(0, 0, 0, 0);
matrica st3 = new matrica(0, 0, 0, 0);
matrica st4 = new matrica(0, 0, 0, 0);
matrica st5 = new matrica(0, 0, 0, 0);
matrica finalM = new matrica(0, 0, 0, 0);
for (double f1 = 200; f1 <= 1200; f1 += 10)
{
for (double LObj = 10; LObj <= 1010; LObj += 10)
{
for (double f2 = 10; f2 <= 1010; f2 += 10)
{
st1.a = 1; st1.b = f1; st1.c = 0; st1.d = 1;
st2.a = 1; st2.b = 0; st2.c = (-1 / f1); st2.d = 1;
st3.a = 1; st3.b = LObj; st3.c = 0; st3.d = 1;
st4.a = 1; st4.b = 0; st4.c = (-1 / f2); st4.d = 1;
st5.a = 1; st5.b = f2; st5.c = 0; st5.d = 1;
finalM = umnozh((umnozh((umnozh((umnozh(st5, st4)), st3)), st2)), st1);
w = radius(finalM, zR, z0, lambda);
theta = (1.22 * lambda) / (2 * w);
if ((w <= (Dfiber / 2)) & (theta <= thetamax) & ((Math.Abs((Dfiber / 2) - w)) < dw))
{
dw = Math.Abs((Dfiber / 2) - w);
dtheta = Math.Abs(thetamax - theta);
mw = w;
mtheta = theta;
mf1 = f1;
mLObj = LObj;
mf2 = f2;
}
}
}
}
double mmf1 = mf1;
double mmLObj = mLObj;
double mmf2 = mf2;
for (double f1 = mmf1 - 10; f1 <= mmf1 + 10; f1 += 0.5)
{
for (double LObj = mmLObj - 10; LObj <= mmLObj + 10; LObj += 0.5)
{
for (double f2 = mmf2 - 10; f2 <= mmf2 + 10; f2 += 0.5)
{
st1.a = 1; st1.b = f1; st1.c = 0; st1.d = 1;
st2.a = 1; st2.b = 0; st2.c = (-1 / f1); st2.d = 1;
st3.a = 1; st3.b = LObj; st3.c = 0; st3.d = 1;
st4.a = 1; st4.b = 0; st4.c = (-1 / f2); st4.d = 1;
st5.a = 1; st5.b = f2; st5.c = 0; st5.d = 1;
finalM = umnozh((umnozh((umnozh((umnozh(st5, st4)), st3)), st2)), st1);
w = radius(finalM, zR, z0, lambda);
theta = (1.22 * lambda) / (2 * w);
if ((w <= (Dfiber / 2)) & (theta <= thetamax) & ((Math.Abs((Dfiber / 2) - w)) < dw))
{
dw = Math.Abs((Dfiber / 2) - w);
dtheta = Math.Abs(thetamax - theta);
mw = w;
mtheta = theta;
mf1 = f1;
mLObj = LObj;
mf2 = f2;
}
}
}
}
int zN = (int)mf1 + (int)mLObj + (int)mf2 + 1;
double[] wz = new double[zN];
for (int i = 0; i <= (int)mf1; i++)
{
st1.a = 1; st1.b = i; st1.c = 0; st1.d = 1;
finalM = st1;
wz[i] = radius(finalM, zR, z0, lambda);
}
for (int i = (int)mf1 + 1; i <= (int)mf1 + (int)mLObj; i++)
{
st1.a = 1; st1.b = mf1; st1.c = 0; st1.d = 1;
st2.a = 1; st2.b = 0; st2.c = (-1 / mf1); st2.d = 1;
st3.a = 1; st3.b = i - mf1; st3.c = 0; st3.d = 1;
finalM = umnozh((umnozh(st3, st2)), st1);
wz[i] = radius(finalM, zR, z0, lambda);
}
for (int i = (int)mf1 + (int)mLObj + 1; i <= zN - 1; i++)
{
st1.a = 1; st1.b = mf1; st1.c = 0; st1.d = 1;
st2.a = 1; st2.b = 0; st2.c = (-1 / mf1); st2.d = 1;
st3.a = 1; st3.b = mLObj; st3.c = 0; st3.d = 1;
st4.a = 1; st4.b = 0; st4.c = (-1 / mf2); st4.d = 1;
st5.a = 1; st5.b = i - mf1 - mLObj; st5.c = 0; st5.d = 1;
finalM = umnozh((umnozh((umnozh((umnozh(st5, st4)), st3)), st2)), st1);
wz[i] = radius(finalM, zR, z0, lambda);
}
Console.WriteLine("g1 = " + g1.ToString());
Console.WriteLine("g2 = " + g2.ToString());
Console.WriteLine();
Console.WriteLine("w0 = " + w0.ToString());
Console.WriteLine("z0 = " + z0.ToString());
Console.WriteLine();
Console.WriteLine();
Console.WriteLine("Dfiber = " + Dfiber.ToString());
Console.WriteLine("2w = " + (2 * mw).ToString());
Console.WriteLine();
Console.WriteLine("thetamax = " + thetamax.ToString());
Console.WriteLine("theta = " + mtheta.ToString());
Console.WriteLine();
Console.WriteLine();
Console.WriteLine("f1 = " + mf1.ToString());
Console.WriteLine();
Console.WriteLine("LObj = " + mLObj.ToString());
Console.WriteLine();
Console.WriteLine("f2 = " + mf2.ToString());
Console.WriteLine();
Console.WriteLine();
Console.WriteLine();
for (int i = (int)z0 + 1; i <= zN - 1; i++)
{
Console.WriteLine((int)(i - z0));
}
Console.WriteLine();
for (int i = (int)z0 + 1; i <= zN - 1; i++)
{
Console.WriteLine(wz[i]);
}
Console.ReadLine();
}