def makeTransitTimeTables(self,beta_min,beta_max,n_table_points,rf_freq): """ It will calculate transit time factor tables for all RF gaps TTFs (T,S,Tp,Sp) are funcftions of the cappa variable = 2*pi*f/(c*beta) """ self.rf_freq = rf_freq c_light = 2.99792458e+8 self.beta_arr = [] self.cappa_arr = [] for i_beta in range(n_table_points): beta = beta_min + i_beta*(beta_max-beta_min)/(n_table_points-1) cappa = 2*math.pi*rf_freq/(c_light*beta) self.beta_arr.append(beta) self.cappa_arr.append(cappa) self.beta_arr.reverse() self.cappa_arr.reverse() #--calculate realtive gap amplitudes integral = GaussLegendreIntegrator(500) e0l_arr = [] e0l_sum = 0. for i in range(len(self.gap_slpline_arr)): [gap_length,x_center,splineGap] = self.gap_slpline_arr[i] n = splineGap.getSize() x_min = splineGap.x(0) x_max = splineGap.x(n-1) integral.setLimits(x_min,x_max) e0l = integral.integral(splineGap) e0l_sum += e0l e0l_arr.append(e0l) self.e0_normalized_arr = [] self.e0l_normalized_arr = [] e0_norm = e0l_arr[0]/self.gap_slpline_arr[0][0] e0l_norm = e0l_arr[0] for i in range(len(e0l_arr)): self.e0_normalized_arr.append((e0l_arr[i]/self.gap_slpline_arr[i][0])/e0_norm) self.e0l_normalized_arr.append((e0l_arr[i]/e0l_norm)) #--- calculate transit time factors self.ttp_ssp_gap_arr = [] for i in range(len(self.gap_slpline_arr)): func_T = Function() func_TP = Function() func_S = Function() func_SP = Function() self.ttp_ssp_gap_arr.append([func_T,func_TP,func_S,func_SP]) for i_gap in range(len(self.gap_slpline_arr)): [func_T,func_TP,func_S,func_SP] = self.ttp_ssp_gap_arr[i_gap] [gap_length,x0,spline] = self.gap_slpline_arr[i_gap] x_min = spline.x(0) x_max = spline.x(spline.getSize()-1) integral.setLimits(x_min,x_max) for i_beta in range(n_table_points): beta = self.beta_arr[i_beta] cappa = self.cappa_arr[i_beta] f_cos = Function() f_sin = Function() for isp in range(spline.getSize()): x = spline.x(isp) y = spline.y(isp) phase = cappa*x s = math.sin(phase) c = math.cos(phase) f_cos.add(x,c*y) f_sin.add(x,s*y) f_sp_cos = SplineCH() f_sp_sin = SplineCH() f_sp_cos.compile(f_cos) f_sp_sin.compile(f_sin) T = integral.integral(f_sp_cos) S = integral.integral(f_sp_sin) func_T.add(cappa,T/e0l_arr[i_gap]) func_S.add(cappa,S/e0l_arr[i_gap]) spline_T = SplineCH() spline_S = SplineCH() spline_T.compile(func_T) spline_S.compile(func_S) for i_beta in range(spline_T.getSize()): cappa = spline_T.x(i_beta) TP = spline_T.getYP(cappa) SP = spline_S.getYP(cappa) func_TP.add(cappa,TP) func_SP.add(cappa,SP) return self.ttp_ssp_gap_arr
def __init__(self,splineFiled, zeroIsCenter = False): self.splineFiled = splineFiled #---------------------------------------------------- self.eps_root = 1.0e-6 self.rf_freq = 0.0 #self.e0_normalized_arr - normilized amplitudes of the gaps self.e0_normalized_arr = [] self.e0l_normalized_arr = [] # self.beta_arr - relativistic beta, cappa = 2*math.pi*rf_freq/(c_light*beta) self.beta_arr = [] self.cappa_arr = [] # self.ttp_ssp_gap_arr array with [T,Tp,S,Sp] for all gaps (T,Tp,S,Sp - Functions of cappa) self.ttp_ssp_gap_arr = [] # self.gap_polynoms_coef_arr array with polynomial coefficients for [T,Tp,S,Sp] for each gap self.gap_polynoms_coef_arr = [] # self.gap_polynoms_arr array with Polynomial instances for [T,Tp,S,Sp] for each gap self.gap_polynoms_arr = [] # self.gap_polynoms_t_tp_s_sp_err_arr - maximal relative errors for polynomial fitting self.gap_polynoms_t_tp_s_sp_err_arr = [] #----------------------------------------------------- #calculate the roots self.roots_arr = self.rootAnalysis() #find the roots of derivative - yp = y' - RFgap center positions if(zeroIsCenter): self.yp_roots_arr = [0.] else: self.yp_roots_arr = self.gapCentersAnalysis() #print "debug yp roots=",self.yp_roots_arr if(len(self.roots_arr) - 1 != len(self.yp_roots_arr)): rank = orbit_mpi.MPI_Comm_rank(mpi_comm.MPI_COMM_WORLD) if(rank == 0): print "Class RF_AxisFieldAnalysis." print "The structure of the input rf field spline is wrong!" print "roots of the filed =",self.roots_arr print "extrema positions =",self.yp_roots_arr sys.exit(1) # caluclate the position of the center of the cavity rf_center = 0 for i in range(1,len(self.yp_roots_arr)-1): rf_center += self.yp_roots_arr[i] rf_center /= (len(self.yp_roots_arr)-2) self.rf_center = rf_center # make spline for each RF gap self.gap_slpline_arr = [] #print "debug roots_arr=",self.roots_arr #---make splineGap with x in the [m] instead of [cm] for i in range(len(self.roots_arr)-1): x_center = self.yp_roots_arr[i] x0 = self.roots_arr[i] x1 = self.roots_arr[i+1] f = Function() f.add((x0-x_center),math.fabs(splineFiled.getY(x0))) for ix in range(splineFiled.getSize()-1): x = splineFiled.x(ix) if(x > x0 and x < x1): f.add((x-x_center),math.fabs(splineFiled.y(ix))) f.add((x1-x_center),math.fabs(splineFiled.getY(x1))) splineGap = SplineCH() splineGap.compile(f) n = splineGap.getSize() x_min = splineGap.x(0) x_max = splineGap.x(n-1) gap_length = x_max - x_min self.gap_slpline_arr.append([gap_length,(x_center - self.rf_center),splineGap])
beta_max
] in data_in_arr:
file_cav_name = cav_name + ".dat"
for rf_gap_name in rf_gap_names_arr:
file_gap_name = data_root_dir + cav_directory_name + "/" + rf_gap_name + ".SFO"
func = getAxisFieldFunction(file_gap_name)
splineGap = SplineCH()
splineGap.compile(func)
rf_gap_analysis = RF_AxisFieldAnalysis(splineGap, zeroIsCenter=True)
rf_gap_analysis.makeTransitTimeTables(beta_min, beta_max,
n_table_points, rf_freq)
gap_polynoms_coef_arr = rf_gap_analysis.makePlynomialFittings(
n_poly_order)
gap_polynoms_t_tp_s_sp_err_arr = rf_gap_analysis.gap_polynoms_t_tp_s_sp_err_arr
(err_t, err_tp, err_s, err_sp) = gap_polynoms_t_tp_s_sp_err_arr[0]
print "gap=", rf_gap_name, " spline size = ", splineGap.getSize(
), " err = %5.6f %5.6f %5.6f %5.6f " % (err_t, err_tp, err_s, err_sp)
rf_gap_analysis.dumpTransitTimeTables("./" + dir_name + "/" +
rf_gap_name + "_t_tp_s_sp.dat")
rf_gap_analysis.dumpTTFandFitting("./" + dir_name + "/" + rf_gap_name +
"_ttf_fiitings.dat")
#--------------------------------------------
real_gap_name = gapNameTransformDTL_SDTL(rf_gap_name)
rf_gap_da = rf_gap_da_dict[real_gap_name]
axis_file_name = rf_gap_name + ".dat"
SetUpETL_in_RFGAP_Da(rf_gap_analysis, rf_gap_da, rf_gap_beta_avg_dict,
axis_file_name, beta_min, beta_max)
#--------------------------------------------------------------------------
# ACS Part of the linac
# For ACS part the Ez(z) fields
# are defined by the relativistic beta