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dynamics_strong_B_generalized.py
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dynamics_strong_B_generalized.py
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#-Begin-preamble-------------------------------------------------------
#
# CERN
#
# European Organization for Nuclear Research
#
#
# This file is part of the code:
#
# PyECLOUD Version 8.7.0
#
#
# Main author: Giovanni IADAROLA
# BE-ABP Group
# CERN
# CH-1211 GENEVA 23
# SWITZERLAND
#
# Contributors: Eleonora Belli
# Philipp Dijkstal
# Lorenzo Giacomel
# Lotta Mether
# Annalisa Romano
# Giovanni Rumolo
# Eric Wulff
#
#
# Copyright CERN, Geneva 2011 - Copyright and any other
# appropriate legal protection of this computer program and
# associated documentation reserved in all countries of the
# world.
#
# Organizations collaborating with CERN may receive this program
# and documentation freely and without charge.
#
# CERN undertakes no obligation for the maintenance of this
# program, nor responsibility for its correctness, and accepts
# no liability whatsoever resulting from its use.
#
# Program and documentation are provided solely for the use of
# the organization to which they are distributed.
#
# This program may not be copied or otherwise distributed
# without permission. This message must be retained on this and
# any other authorized copies.
#
# The material cannot be sold. CERN should be given credit in
# all references.
#
#-End-preamble---------------------------------------------------------
from numpy import sqrt, sin, cos, squeeze, sum
import scipy.io as sio
from . import int_field_for as iff
me = 9.10938291e-31
qe = 1.602176565e-19
qm = qe / me
#formulas are already written for a negative charge
class pusher_strong_B_generalized():
def __init__(self, Dt, B0x, B0y, \
B_map_file, fact_Bmap, B_zero_thrhld):
print("Tracker: Generalized strong B")
self.Dt = Dt
self.B0x = B0x
self.B0y = B0y
self.B_zero_thrhld = B_zero_thrhld
if B_map_file is None:
self.flag_B_map = False
self.analyt_quad_grad1 = False
elif B_map_file is 'analytic_qaudrupole_unit_grad':
print("B map analytic quadrupole")
self.flag_B_map = False
self.analyt_quad_grad1 = True
self.fact_Bmap = fact_Bmap
else:
self.flag_B_map = True
self.analyt_quad_grad1 = False
print('Loading B map')
dict_Bmap = sio.loadmat(B_map_file)
self.Bmap_x = fact_Bmap * squeeze(dict_Bmap['Bx'].real)
self.Bmap_y = fact_Bmap * squeeze(dict_Bmap['By'].real)
self.xx = squeeze(dict_Bmap['xx'].T)
self.yy = squeeze(dict_Bmap['yy'].T)
self.xmin = min(self.xx)
self.ymin = min(self.yy)
self.dx = self.xx[1] - self.xx[0]
self.dy = self.yy[1] - self.yy[0]
# ####Debug
# import pylab as pl
# pl.figure(1)
# pl.imshow(self.Bmap_x.T, cmap=None, norm=None, aspect=None, interpolation=None,
# alpha=None, vmin=None, vmax=None, origin=None, extent=None)
# pl.figure(2)
# pl.imshow(self.Bmap_y.T, cmap=None, norm=None, aspect=None, interpolation=None,
# alpha=None, vmin=None, vmax=None, origin=None, extent=None)
#
# pl.show()
#
# raise ValueError
#
# ####
# def step(self, xn, yn, zn, vxn, vyn, vzn,Ex_n,Ey_n):
def step(self, MP_e, Ex_n, Ey_n, Ez_n=0., Bx_n=0., By_n=0., Bz_n=0.):
if MP_e.N_mp > 0:
xn = MP_e.x_mp[0:MP_e.N_mp]
yn = MP_e.y_mp[0:MP_e.N_mp]
zn = MP_e.z_mp[0:MP_e.N_mp]
vxn = MP_e.vx_mp[0:MP_e.N_mp]
vyn = MP_e.vy_mp[0:MP_e.N_mp]
vzn = MP_e.vz_mp[0:MP_e.N_mp]
if self.flag_B_map:
Bx_n, By_n = iff.int_field(xn, yn, self.xmin, self.ymin,\
self.dx, self.dy, self.Bmap_x, self.Bmap_y)
# the rescaling factor has already been applied to the map
elif self.analyt_quad_grad1:
# the rescaling factor has to be applied here
Bx_n = self.fact_Bmap * yn.copy()
By_n = self.fact_Bmap * xn.copy()
else:
Bx_n = 0 * xn
By_n = 0 * xn
Bx_n = Bx_n + self.B0x
By_n = By_n + self.B0y
#Bx_n = 0*xn + self.B0x
#By_n = 0*xn + self.B0y
B_mod = sqrt(Bx_n * Bx_n + By_n * By_n)
flag_B_zero = B_mod < self.B_zero_thrhld
N_B_zero = sum(flag_B_zero)
#introduce fake B for zero field points
if N_B_zero > 0:
B_mod[flag_B_zero] = 1.
omegac = B_mod * qm
sinwcDt = sin(omegac * self.Dt)
coswcDt = cos(omegac * self.Dt)
vB_Bmod = (vxn * By_n - vyn * Bx_n) / B_mod
EB_Bmodsq = (Ex_n * By_n - Ey_n * Bx_n) / (B_mod * B_mod)
Dz = vzn * sinwcDt / omegac + vB_Bmod * coswcDt / omegac + \
EB_Bmodsq * (self.Dt - sinwcDt / omegac) - vB_Bmod / omegac
Dz_tilde = (vzn * (1 - coswcDt) + vB_Bmod * sinwcDt) / (omegac * omegac) + \
EB_Bmodsq * (self.Dt * self.Dt / 2. + (coswcDt - 1.) / (omegac * omegac)) \
- vB_Bmod * self.Dt / omegac
vzn1 = vzn * coswcDt - vB_Bmod * sinwcDt + EB_Bmodsq * (1. - coswcDt)
vxn1 = vxn - qm * (Ex_n * self.Dt - By_n * Dz)
vyn1 = vyn - qm * (Ey_n * self.Dt + Bx_n * Dz )
xn1 = xn + vxn * self.Dt - qm * (Ex_n * self.Dt * self.Dt / 2. - By_n * Dz_tilde)
yn1 = yn + vyn * self.Dt - qm * (Ey_n * self.Dt * self.Dt / 2. + Bx_n * Dz_tilde)
zn1 = zn + Dz
# correcting zero field points
if N_B_zero > 0:
xn1[flag_B_zero] = xn[flag_B_zero] + vxn[flag_B_zero] * self.Dt\
- 0.5 * qm * Ex_n[flag_B_zero] * self.Dt * self.Dt
yn1[flag_B_zero] = yn[flag_B_zero] + vyn[flag_B_zero] * self.Dt\
- 0.5 * qm * Ey_n[flag_B_zero] * self.Dt * self.Dt
zn1[flag_B_zero] = zn[flag_B_zero] + vzn[flag_B_zero] * self.Dt
vxn1[flag_B_zero] = vxn[flag_B_zero] - qm * Ex_n[flag_B_zero] * self.Dt
vyn1[flag_B_zero] = vyn[flag_B_zero] - qm * Ey_n[flag_B_zero] * self.Dt
vzn1[flag_B_zero] = vzn[flag_B_zero]
MP_e.x_mp[0:MP_e.N_mp] = xn1
MP_e.y_mp[0:MP_e.N_mp] = yn1
MP_e.z_mp[0:MP_e.N_mp] = zn1
MP_e.vx_mp[0:MP_e.N_mp] = vxn1
MP_e.vy_mp[0:MP_e.N_mp] = vyn1
MP_e.vz_mp[0:MP_e.N_mp] = vzn1
return MP_e