#include #include #include #include #include #include #include #include "optics.h" #include "quantum_efficiency.h" #include "solid_angle.h" #include "pdg.h" #include "vector.h" #include "muon.h" #include "sno.h" #include "scattering.h" static int initialized = 0; static double *x, *dEdx, *csda_range; static size_t size; static gsl_interp_accel *acc_dEdx; static gsl_spline *spline_dEdx; static gsl_interp_accel *acc_range; static gsl_spline *spline_range; static const double MUON_CRITICAL_ENERGY = 1.029e6; static int init() { int i, j; char line[256]; char *str; double value; int n; FILE *f = fopen("muE_deuterium_oxide_liquid.txt", "r"); if (!f) { fprintf(stderr, "failed to open muE_water_liquid.txt: %s", strerror(errno)); return -1; } i = 0; n = 0; /* For the first pass, we just count how many values there are. */ while (fgets(line, sizeof(line), f)) { size_t len = strlen(line); if (len && (line[len-1] != '\n')) { fprintf(stderr, "got incomplete line on line %i: '%s'\n", i, line); goto err; } i += 1; /* Skip the first 10 lines since it's just a header. */ if (i <= 10) continue; if (!len) continue; else if (line[0] == '#') continue; else if (strstr(line, "Minimum ionization")) continue; else if (strstr(line, "Muon critical energy")) continue; str = strtok(line," \n"); while (str) { value = strtod(str, NULL); str = strtok(NULL," \n"); } n += 1; } x = malloc(sizeof(double)*n); dEdx = malloc(sizeof(double)*n); csda_range = malloc(sizeof(double)*n); size = n; i = 0; n = 0; /* Now, we actually store the values. */ rewind(f); while (fgets(line, sizeof(line), f)) { size_t len = strlen(line); if (len && (line[len-1] != '\n')) { fprintf(stderr, "got incomplete line on line %i: '%s'\n", i, line); goto err; } i += 1; /* Skip the first 10 lines since it's just a header. */ if (i <= 10) continue; if (!len) continue; else if (line[0] == '#') continue; else if (strstr(line, "Minimum ionization")) continue; else if (strstr(line, "Muon critical energy")) continue; str = strtok(line," \n"); j = 0; while (str) { value = strtod(str, NULL); switch (j) { case 0: x[n] = value; break; case 7: dEdx[n] = value; break; case 8: csda_range[n] = value; break; } j += 1; str = strtok(NULL," \n"); } n += 1; } fclose(f); acc_dEdx = gsl_interp_accel_alloc(); spline_dEdx = gsl_spline_alloc(gsl_interp_linear, size); gsl_spline_init(spline_dEdx, x, dEdx, size); acc_range = gsl_interp_accel_alloc(); spline_range = gsl_spline_alloc(gsl_interp_linear, size); gsl_spline_init(spline_range, x, csda_range, size); initialized = 1; return 0; err: fclose(f); return -1; } double get_range(double T, double rho) { /* Returns the approximate range a muon with kinetic energy `T` will travel * in water before losing all of its energy. This range is interpolated * based on data from the PDG which uses the continuous slowing down * approximation. * * `T` should be in MeV, and `rho` should be in g/cm^3. * * Return value is in cm. * * See http://pdg.lbl.gov/2018/AtomicNuclearProperties/adndt.pdf. */ if (!initialized) { if (init()) { exit(1); } } return gsl_spline_eval(spline_range, T, acc_range)/rho; } double get_T(double T0, double x, double rho) { /* Returns the approximate kinetic energy of a muon in water after * travelling `x` cm with an initial kinetic energy `T`. * * `T` should be in MeV, `x` in cm, and `rho` in g/cm^3. * * Return value is in MeV. * * See http://pdg.lbl.gov/2018/AtomicNuclearProperties/adndt.pdf. */ double a, b, range, T; if (!initialized) { if (init()) { exit(1); } } range = get_range(T0, rho); /* This comes from Equation 33.42 in the PDG Passage of Particles Through * Matter article. */ b = log(1 + T0/MUON_CRITICAL_ENERGY)/range; /* Now we compute the ionization energy loss from the known range and b. */ a = b*T0/(exp(b*range)-1.0); /* Compute the kinetic energy after travelling a distance `x` in the * continuous slowing down approximation. */ T = -a/b + (T0+a/b)*exp(-b*x); if (T < 0) return 0; return T; } double get_dEdx(double T, double rho) { /* Returns the approximate dE/dx for a muon in water with kinetic energy * `T`. * * `T` should be in MeV and `rho` in g/cm^3. * * Return value is in MeV/cm. * * See http://pdg.lbl.gov/2018/AtomicNuclearProperties/adndt.pdf. */ if (!initialized) { if (init()) { exit(1); } } return gsl_spline_eval(spline_dEdx, T, acc_dEdx)/rho; } double get_expected_charge(double x, double T, double theta0, double *pos, double *dir, double *pmt_pos, double *pmt_normal, double r) { double pmt_dir[3], cos_theta, n, wavelength0, omega, E, p, beta, z, R; z = 1.0; SUB(pmt_dir,pmt_pos,pos); normalize(pmt_dir); if (DOT(pmt_dir,pmt_normal) > 0) return 0; /* Calculate the cosine of the angle between the track direction and the * vector to the PMT. */ cos_theta = DOT(dir,pmt_dir); /* Calculate total energy */ E = T + MUON_MASS; p = sqrt(E*E - MUON_MASS*MUON_MASS); beta = p/E; omega = get_solid_angle_approx(pos,pmt_pos,pmt_normal,r); R = NORM(pos); /* FIXME: I just calculate delta assuming 400 nm light. */ wavelength0 = 400.0; if (R <= AV_RADIUS) { n = get_index_snoman_d2o(wavelength0); } else { n = get_index_snoman_h2o(wavelength0); } if (beta < 1/n) return 0; /* FIXME: add angular response and scattering/absorption. */ return omega*FINE_STRUCTURE_CONSTANT*z*z*(1-(1/(beta*beta*n*n)))*get_probability(beta, cos_theta, theta0); }