From 69789f885ab0899a90183de6098cb71367170eac Mon Sep 17 00:00:00 2001 From: Angel Ferran Pousa Date: Wed, 3 Mar 2021 09:47:59 +0100 Subject: [PATCH 01/15] Remove out-of-place wakefield --- .../qs_rz_baxevanis/wakefield.py | 27 ------------------- 1 file changed, 27 deletions(-) diff --git a/wake_t/physics_models/plasma_wakefields/qs_rz_baxevanis/wakefield.py b/wake_t/physics_models/plasma_wakefields/qs_rz_baxevanis/wakefield.py index dbf9d4f5..7cacb3a6 100644 --- a/wake_t/physics_models/plasma_wakefields/qs_rz_baxevanis/wakefield.py +++ b/wake_t/physics_models/plasma_wakefields/qs_rz_baxevanis/wakefield.py @@ -131,30 +131,3 @@ def _get_openpmd_diagnostics_data(self): part_boundary_params, current_smoothing, charge_correction) return diag_data - - -class PlasmaRampBlowoutField(Wakefield): - def __init__(self, density_function): - super().__init__() - self.density_function = density_function - - def Wx(self, x, y, xi, px, py, pz, q, t): - kx = self.calculate_focusing(xi, t) - return ct.c*kx*x - - def Wy(self, x, y, xi, px, py, pz, q, t): - kx = self.calculate_focusing(xi, t) - return ct.c*kx*y - - def Wz(self, x, y, xi, px, py, pz, q, t): - return np.zeros(len(xi)) - - def Kx(self, x, y, xi, px, py, pz, q, t): - kx = self.calculate_focusing(xi, t) - return np.ones(len(xi))*kx - - def calculate_focusing(self, xi, t): - z = t*ct.c + xi # z postion of each particle at time t - n_p = self.density_function(z) - w_p = np.sqrt(n_p*ct.e**2/(ct.m_e*ct.epsilon_0)) - return (ct.m_e/(2*ct.e*ct.c))*w_p**2 From c29e6fdfa0f48d8044fa8ce7e4f8ab6c941d4ad4 Mon Sep 17 00:00:00 2001 From: Angel Ferran Pousa Date: Wed, 3 Mar 2021 11:11:47 +0100 Subject: [PATCH 02/15] Remove analytical tracking mode --- wake_t/beamline_elements/plasma_elements.py | 140 +------------------- 1 file changed, 3 insertions(+), 137 deletions(-) diff --git a/wake_t/beamline_elements/plasma_elements.py b/wake_t/beamline_elements/plasma_elements.py index 15fea2b6..aaa872bf 100644 --- a/wake_t/beamline_elements/plasma_elements.py +++ b/wake_t/beamline_elements/plasma_elements.py @@ -20,7 +20,7 @@ class PlasmaStage(): """ Defines a plasma stage. """ - def __init__(self, length, n_p, laser=None, tracking_mode='numerical', + def __init__(self, length, n_p, laser=None, wakefield_model='simple_blowout', n_out=None, **model_params): """ Initialize plasma stage. @@ -36,11 +36,6 @@ def __init__(self, length, n_p, laser=None, tracking_mode='numerical', laser : LaserPulse Laser driver of the plasma stage. - tracking_mode : str - Tracking algorithm used for the bunch particles. Can be 'numerical' - for the Runge-Kutta solver or 'analytical' to use the model from - https://doi.org/10.1038/s41598-019-53887-8 - wakefield_model : str Wakefield model to be used. Possible values are 'simple_blowout', 'custom_blowout', 'from_pic_code', 'cold_fluid_1d' and @@ -209,7 +204,6 @@ def __init__(self, length, n_p, laser=None, tracking_mode='numerical', self.length = length self.n_p = n_p self.laser = laser - self.tracking_mode = tracking_mode self.wakefield_model = wakefield_model self.wakefield = self._get_wakefield(wakefield_model, model_params) self.n_out = n_out @@ -258,12 +252,8 @@ def track(self, bunch, parallel=False, n_proc=None, out_initial=False, print('-'*len('Plasma stage')) if type(opmd_diag) is not OpenPMDDiagnostics and opmd_diag: opmd_diag = OpenPMDDiagnostics(write_dir=diag_dir) - if self.tracking_mode == 'numerical': - bunch_list = self._track_numerically( - bunch, parallel, n_proc, out_initial, opmd_diag) - elif self.tracking_mode == 'analytical': - bunch_list = self._track_analytically( - bunch, parallel, n_proc, out_initial) + bunch_list = self._track_numerically( + bunch, parallel, n_proc, out_initial, opmd_diag) if opmd_diag is not False: opmd_diag.increase_z_pos(self.length) return bunch_list @@ -389,87 +379,6 @@ def _track_numerically(self, bunch, parallel, n_proc, out_initial, bunch.increase_prop_distance(self.length) return bunch_list - def _track_analytically(self, bunch, parallel, n_proc, out_initial): - # Group velocity of driver - v_w = self.wakefield.laser.get_group_velocity(self.n_p)*ct.c - - # Main bunch quantities [SI units] - x_0 = bunch.x - y_0 = bunch.y - xi_0 = bunch.xi - px_0 = bunch.px * ct.m_e * ct.c - py_0 = bunch.py * ct.m_e * ct.c - pz_0 = bunch.pz * ct.m_e * ct.c - - # Plasma length in time - t_final = self.length/ct.c - - # Fields - E_p = -ct.e/(ct.m_e*ct.c) * self.wakefield.Ez_p( - x_0, y_0, xi_0, pz_0, py_0, pz_0, bunch.q, 0) - E = -ct.e/(ct.m_e*ct.c) * self.wakefield.Wz( - x_0, y_0, xi_0, pz_0, py_0, pz_0, bunch.q, 0) - K = ct.e/ct.m_e * self.wakefield.Kx( - x_0, y_0, xi_0, pz_0, py_0, pz_0, bunch.q, 0) - - if any(K <= 0): - raise ValueError( - 'Detected bunch particles in defocusing phase. Defocusing ' - 'fields currently not supported by analytical solver.') - # Some initial values - p_0 = np.sqrt(np.square(px_0) + np.square(py_0) + np.square(pz_0)) - g_0 = np.sqrt(np.square(p_0)/(ct.m_e*ct.c)**2 + 1) - w_0 = np.sqrt(K/g_0) - - # Initial velocities - v_x_0 = px_0/(ct.m_e*g_0) - v_y_0 = py_0/(ct.m_e*g_0) - - # calculate oscillation amplitude - A_x = np.sqrt(x_0**2+v_x_0**2/w_0**2) - A_y = np.sqrt(y_0**2+v_y_0**2/w_0**2) - - # initial phase (x) - sn_x = -v_x_0/(A_x*w_0) - cs_x = x_0/A_x - phi_x_0 = np.arctan2(sn_x, cs_x) - - # initial phase (y) - sn_y = -v_y_0/(A_y*w_0) - cs_y = y_0/A_y - phi_y_0 = np.arctan2(sn_y, cs_y) - - # initialize list to store the distribution at each step - bunch_list = list() - if out_initial: - bunch_list.append(copy(bunch)) - - # track bunch in steps - # print("Tracking plasma stage in {} steps... ".format(steps)) - start = time.time() - p = Pool(cpu_count()) - t = t_final/self.n_out*(np.arange(self.n_out)+1) - part = partial(self._get_beam_at_specified_time_step_analytically, - beam=bunch, g_0=g_0, w_0=w_0, xi_0=xi_0, A_x=A_x, - A_y=A_y, phi_x_0=phi_x_0, phi_y_0=phi_y_0, E=E, E_p=E_p, - v_w=v_w, K=K) - bunch_list += p.map(part, t) - end = time.time() - print("Done ({} seconds)".format(end-start)) - - # update bunch data - last_bunch = bunch_list[-1] - bunch.set_phase_space(last_bunch.x, last_bunch.y, last_bunch.xi, - last_bunch.px, last_bunch.py, last_bunch.pz) - bunch.increase_prop_distance(self.length) - - # update laser data - # laser.increase_prop_distance(self.length) - # laser.xi_c = laser.xi_c + (v_w-ct.c)*t_final - - # return steps - return bunch_list - def _get_optimized_dt(self, beam, WF): """ Get optimized time step """ gamma = self._gamma(beam.px, beam.py, beam.pz) @@ -483,49 +392,6 @@ def _get_optimized_dt(self, beam, WF): def calculate_density(self, z): return self.n_p - def _get_beam_at_specified_time_step_analytically( - self, t, beam, g_0, w_0, xi_0, A_x, A_y, phi_x_0, phi_y_0, E, E_p, - v_w, K): - G = 1 + E/g_0*t - if (G < 1/g_0).any(): - n_part = len(np.where(G < 1/g_0)[0]) - print('Warning: unphysical energy found in {}'.format(n_part) - + 'particles due to negative accelerating gradient.') - # fix unphysical energies (model does not work well when E<=0) - G = np.where(G < 1/g_0, 1/g_0, G) - - phi = 2*np.sqrt(K*g_0)/E*(G**(1/2) - 1) - if (E == 0).any(): - # apply limit when E->0 - idx_0 = np.where(E == 0)[0] - phi[idx_0] = np.sqrt(K[idx_0]/g_0[idx_0])*t[idx_0] - A_0 = np.sqrt(A_x**2 + A_y**2) - - x = A_x*G**(-1/4)*np.cos(phi + phi_x_0) - v_x = -w_0*A_x*G**(-3/4)*np.sin(phi + phi_x_0) - p_x = G*g_0*v_x/ct.c - - y = A_y*G**(-1/4)*np.cos(phi + phi_y_0) - v_y = -w_0*A_y*G**(-3/4)*np.sin(phi + phi_y_0) - p_y = G*g_0*v_y/ct.c - - delta_xi = (ct.c/(2*E*g_0)*(G**(-1) - 1) - + A_0**2*K/(2*ct.c*E)*(G**(-1/2) - 1)) - xi = xi_0 + delta_xi - - delta_xi_max = -1/(2*E)*(ct.c/g_0 + A_0**2*K/ct.c) - - g = (g_0 + E*t + E_p*delta_xi_max*t + E_p/2*(ct.c-v_w)*t**2 - + ct.c*E_p/(2*E**2)*np.log(G) - + E_p*A_0**2*K*g_0/(ct.c*E**2)*(G**(1/2) - 1)) - p_z = np.sqrt(g**2-p_x**2-p_y**2) - - beam_step = ParticleBunch(beam.q, x, y, xi, p_x, p_y, p_z, - prop_distance=beam.prop_distance+t*ct.c, - name=beam.name) - - return beam_step - class PlasmaRamp(): From e1d9a9b61dee41301de068448e30323b034843e2 Mon Sep 17 00:00:00 2001 From: Angel Ferran Pousa Date: Wed, 3 Mar 2021 11:24:00 +0100 Subject: [PATCH 03/15] Remove unnecessary Kx and Ez_p fields --- .../plasma_wakefields/base_wakefield.py | 6 ------ .../plasma_wakefields/combined_wakefield.py | 6 ------ .../plasma_wakefields/custom_blowout.py | 6 ------ .../plasma_wakefields/from_pic.py | 10 ---------- .../plasma_wakefields/plasma_lens.py | 7 ------- .../plasma_wakefields/plasma_ramp.py | 4 ---- .../plasma_wakefields/qs_cold_fluid_1x3p.py | 17 +---------------- .../plasma_wakefields/qs_rz_baxevanis/solver.py | 5 +---- .../qs_rz_baxevanis/wakefield.py | 17 ++--------------- .../plasma_wakefields/simple_blowout.py | 6 ------ 10 files changed, 4 insertions(+), 80 deletions(-) diff --git a/wake_t/physics_models/plasma_wakefields/base_wakefield.py b/wake_t/physics_models/plasma_wakefields/base_wakefield.py index d6724dab..1d3a1c35 100644 --- a/wake_t/physics_models/plasma_wakefields/base_wakefield.py +++ b/wake_t/physics_models/plasma_wakefields/base_wakefield.py @@ -14,12 +14,6 @@ def Wy(self, x, y, xi, px, py, pz, q, t): def Wz(self, x, y, xi, px, py, pz, q, t): raise NotImplementedError - def Kx(self, x, y, xi, px, py, pz, q, t): - raise NotImplementedError - - def Ez_p(self, x, y, xi, px, py, pz, q, t): - raise NotImplementedError - def get_openpmd_diagnostics_data(self): if self.openpmd_diag_supported: return self._get_openpmd_diagnostics_data() diff --git a/wake_t/physics_models/plasma_wakefields/combined_wakefield.py b/wake_t/physics_models/plasma_wakefields/combined_wakefield.py index ad1586c0..a3882871 100644 --- a/wake_t/physics_models/plasma_wakefields/combined_wakefield.py +++ b/wake_t/physics_models/plasma_wakefields/combined_wakefield.py @@ -25,9 +25,3 @@ def Wz(self, x, y, xi, px, py, pz, q, t): for wf in self.wakefield_list: wz += wf.Wz(x, y, xi, px, py, pz, q, t) return wz - - def Kx(self, x, y, xi, px, py, pz, q, t): - kx = np.zeros(x.shape[0]) - for wf in self.wakefield_list: - kx += wf.Kx(x, y, xi, px, py, pz, q, t) - return kx diff --git a/wake_t/physics_models/plasma_wakefields/custom_blowout.py b/wake_t/physics_models/plasma_wakefields/custom_blowout.py index c25578d0..0f462a7a 100644 --- a/wake_t/physics_models/plasma_wakefields/custom_blowout.py +++ b/wake_t/physics_models/plasma_wakefields/custom_blowout.py @@ -36,9 +36,3 @@ def Wz(self, x, y, xi, px, py, pz, q, t): self.xi_fields = np.average(xi, weights=q) return self.E_z_0 + self.E_z_p*(xi - self.xi_fields + (1-self.b_w)*ct.c*t) - - def Kx(self, x, y, xi, px, py, pz, q, t): - return self.g_x*np.ones_like(x) - - def Kz(self, x, y, xi, px, py, pz, q, t): - return self.E_z_p*np.ones_like(x) diff --git a/wake_t/physics_models/plasma_wakefields/from_pic.py b/wake_t/physics_models/plasma_wakefields/from_pic.py index a849d879..cc1ee656 100644 --- a/wake_t/physics_models/plasma_wakefields/from_pic.py +++ b/wake_t/physics_models/plasma_wakefields/from_pic.py @@ -168,13 +168,3 @@ def Wz(self, x, y, xi, px, py, pz, q, t): R = np.array([np.sqrt(np.square(x)+np.square(y)), xi + (1-self.b_w)*ct.c*t]).T return self.E_z(R) - - def Kx(self, x, y, xi, px, py, pz, q, t): - geom = self.dc.GetSimulationDimension() - # matrix of coordinate points - if geom == "3D": - R = np.array([x, y, xi + (1-self.b_w)*ct.c*t]).T - elif geom == "thetaMode": - R = np.array([np.sqrt(np.square(x)+np.square(y)), - xi + (1-self.b_w)*ct.c*t]).T - return self.K_x(R) diff --git a/wake_t/physics_models/plasma_wakefields/plasma_lens.py b/wake_t/physics_models/plasma_wakefields/plasma_lens.py index 24c0661f..d39124c1 100644 --- a/wake_t/physics_models/plasma_wakefields/plasma_lens.py +++ b/wake_t/physics_models/plasma_wakefields/plasma_lens.py @@ -23,10 +23,6 @@ def Wz(self, x, y, xi, px, py, pz, q, t): gamma = np.sqrt(1 + px*px + py*py + pz*pz) return (px*(-x*self.dB_r) - py*y*self.dB_r)*ct.c/gamma - def Kx(self, x, y, xi, px, py, pz, q, t): - # not really important - return np.ones(len(x))*self.dB_r - class PlasmaLensFieldRelativistic(Wakefield): def __init__(self, k_x): @@ -41,6 +37,3 @@ def Wy(self, x, y, xi, px, py, pz, q, t): def Wz(self, x, y, xi, px, py, pz, q, t): return np.zeros(len(x)) - - def Kx(self, x, y, xi, px, py, pz, q, t): - return np.ones(len(x))*self.k_x diff --git a/wake_t/physics_models/plasma_wakefields/plasma_ramp.py b/wake_t/physics_models/plasma_wakefields/plasma_ramp.py index 5f9d3e1f..1a5760d0 100644 --- a/wake_t/physics_models/plasma_wakefields/plasma_ramp.py +++ b/wake_t/physics_models/plasma_wakefields/plasma_ramp.py @@ -20,10 +20,6 @@ def Wy(self, x, y, xi, px, py, pz, q, t): def Wz(self, x, y, xi, px, py, pz, q, t): return np.zeros(len(xi)) - def Kx(self, x, y, xi, px, py, pz, q, t): - kx = self.calculate_focusing(xi, t) - return np.ones(len(xi))*kx - def calculate_focusing(self, xi, t): z = t*ct.c + xi # z postion of each particle at time t n_p = self.density_function(z) diff --git a/wake_t/physics_models/plasma_wakefields/qs_cold_fluid_1x3p.py b/wake_t/physics_models/plasma_wakefields/qs_cold_fluid_1x3p.py index 8e960fea..5d31a57f 100644 --- a/wake_t/physics_models/plasma_wakefields/qs_cold_fluid_1x3p.py +++ b/wake_t/physics_models/plasma_wakefields/qs_cold_fluid_1x3p.py @@ -3,8 +3,7 @@ import aptools.plasma_accel.general_equations as ge from wake_t.particles.charge_deposition import charge_distribution_cyl -from wake_t.particles.interpolation import ( - gather_field_cyl_linear, gather_main_fields_cyl_linear) +from wake_t.particles.interpolation import gather_main_fields_cyl_linear from wake_t.utilities.other import generate_field_diag_dictionary from wake_t.physics_models.plasma_wakefields.base_wakefield import Wakefield @@ -103,15 +102,11 @@ def __calculate_wakefields(self, x, y, xi, px, py, pz, q, t): u_2[-2-i] = u_2[-1-i] + 1/6*(A[1] + 2*B[1] + 2*C[1] + D[1]) z_arr[-2-i] = z - dz E_z = -np.gradient(u_1, dz, axis=0, edge_order=2) - E_z_p = np.gradient(E_z, dz, axis=0, edge_order=2) W_r = -np.gradient(u_1, dr, axis=1, edge_order=2) - K_r = np.gradient(W_r, dr, axis=1, edge_order=2) E_0 = ge.plasma_cold_non_relativisct_wave_breaking_field(n_p*1e-6) self.E_z = E_z*E_0 self.W_x = W_r*E_0 - self.K_x = K_r*E_0/s_d/ct.c - self.E_z_p = E_z_p*E_0/s_d self.xi_fld = z_arr * s_d self.r_fld = r * s_d @@ -130,16 +125,6 @@ def Wz(self, x, y, xi, px, py, pz, q, t): self.__interpolate_fields_to_particles(x, y, xi, t) return self.ez_part - def Kx(self, x, y, xi, px, py, pz, q, t): - self.__calculate_wakefields(x, y, xi, px, py, pz, q, t) - return gather_field_cyl_linear( - self.K_x, self.xi_fld, self.r_fld, x, y, xi) - - def Ez_p(self, x, y, xi, px, py, pz, q, t): - self.__calculate_wakefields(x, y, xi, px, py, pz, q, t) - return gather_field_cyl_linear( - self.E_z_p, self.xi_fld, self.r_fld, x, y, xi) - def __interpolate_fields_to_particles(self, x, y, xi, t): if (self.current_t_interp is None) or (self.current_t_interp != t): self.current_t_interp = t diff --git a/wake_t/physics_models/plasma_wakefields/qs_rz_baxevanis/solver.py b/wake_t/physics_models/plasma_wakefields/qs_rz_baxevanis/solver.py index 0761c013..900d123b 100644 --- a/wake_t/physics_models/plasma_wakefields/qs_rz_baxevanis/solver.py +++ b/wake_t/physics_models/plasma_wakefields/qs_rz_baxevanis/solver.py @@ -147,10 +147,7 @@ def calculate_wakefields(laser, beam_part, r_max, xi_min, xi_max, n_r, n_xi, r_arr_v = np.vstack(r_arr) n_p = (np.gradient(r_arr_v * e_r_mesh, dr, axis=0, edge_order=2)/r_arr_v - np.gradient(dxi_psi_mesh, dxi, axis=1, edge_order=2) - 1) - k_r_mesh = np.gradient(dr_psi_mesh, dr, axis=0, edge_order=2) - e_z_p_mesh = np.gradient(dxi_psi_mesh, dxi, axis=1, edge_order=2) - return (n_p, dr_psi_mesh, dxi_psi_mesh, e_z_p_mesh, k_r_mesh, psi_mesh, - xi_arr, r_arr) + return n_p, dr_psi_mesh, dxi_psi_mesh, psi_mesh, xi_arr, r_arr def evolve_plasma(r, pr, q, xi, dxi, laser_params, beam_source, s_d): diff --git a/wake_t/physics_models/plasma_wakefields/qs_rz_baxevanis/wakefield.py b/wake_t/physics_models/plasma_wakefields/qs_rz_baxevanis/wakefield.py index 7cacb3a6..5ddce6d7 100644 --- a/wake_t/physics_models/plasma_wakefields/qs_rz_baxevanis/wakefield.py +++ b/wake_t/physics_models/plasma_wakefields/qs_rz_baxevanis/wakefield.py @@ -3,8 +3,7 @@ import aptools.plasma_accel.general_equations as ge from .solver import calculate_wakefields -from wake_t.particles.interpolation import ( - gather_field_cyl_linear, gather_main_fields_cyl_linear) +from wake_t.particles.interpolation import gather_main_fields_cyl_linear from wake_t.utilities.other import generate_field_diag_dictionary from wake_t.physics_models.plasma_wakefields.base_wakefield import Wakefield @@ -50,16 +49,6 @@ def Wz(self, x, y, xi, px, py, pz, q, t): self.__interpolate_fields_to_particles(x, y, xi, t) return self.ez_part - def Kx(self, x, y, xi, px, py, pz, q, t): - self.__calculate_wakefields(x, y, xi, px, py, pz, q, t) - return gather_field_cyl_linear( - self.K_x, self.xi_fld, self.r_fld, x, y, xi) - - def Ez_p(self, x, y, xi, px, py, pz, q, t): - self.__calculate_wakefields(x, y, xi, px, py, pz, q, t) - return gather_field_cyl_linear( - self.E_z_p, self.xi_fld, self.r_fld, x, y, xi) - def __calculate_wakefields(self, x, y, xi, px, py, pz, q, t): self.current_t = t if self.current_t_wf is None: @@ -81,7 +70,7 @@ def __calculate_wakefields(self, x, y, xi, px, py, pz, q, t): flds = calculate_wakefields( self.laser, [x, y, xi, q], self.r_max, self.xi_min, self.xi_max, self.n_r, self.n_xi, self.ppc, n_p, dz_foc, p_shape=self.p_shape) - n_p_mesh, W_r, E_z, E_z_p, K_r, psi_mesh, xi_arr, r_arr = flds + n_p_mesh, W_r, E_z, psi_mesh, xi_arr, r_arr = flds E_0 = ge.plasma_cold_non_relativisct_wave_breaking_field(n_p*1e-6) s_d = ge.plasma_skin_depth(n_p*1e-6) @@ -89,8 +78,6 @@ def __calculate_wakefields(self, x, y, xi, px, py, pz, q, t): self.rho = n_p_mesh.T self.E_z = E_z.T*E_0 self.W_x = W_r.T*E_0 - self.K_x = K_r.T*E_0/s_d/ct.c - self.E_z_p = E_z_p.T*E_0/s_d self.xi_fld = xi_arr*s_d self.r_fld = r_arr*s_d diff --git a/wake_t/physics_models/plasma_wakefields/simple_blowout.py b/wake_t/physics_models/plasma_wakefields/simple_blowout.py index 3014d472..5355c3c9 100644 --- a/wake_t/physics_models/plasma_wakefields/simple_blowout.py +++ b/wake_t/physics_models/plasma_wakefields/simple_blowout.py @@ -33,9 +33,3 @@ def Wy(self, x, y, xi, px, py, pz, q, t): def Wz(self, x, y, xi, px, py, pz, q, t): return self.E_z_p * (self.l_p/2 + xi - self.l_c - self.field_off + (1-self.b_w)*ct.c*t) - - def Kx(self, x, y, xi, px, py, pz, q, t): - return self.g_x*np.ones_like(x) - - def Ez_p(self, x, y, xi, px, py, pz, q, t): - return self.E_z_p*np.ones_like(x) From eee3eb0107e00e2c8c9f3a37cc3561e7110ea937 Mon Sep 17 00:00:00 2001 From: Angel Ferran Pousa Date: Wed, 3 Mar 2021 11:36:00 +0100 Subject: [PATCH 04/15] Update readme and picture --- README.md | 8 +++----- other/plasma_tracking.png | Bin 961877 -> 680753 bytes 2 files changed, 3 insertions(+), 5 deletions(-) diff --git a/README.md b/README.md index fd8df46d..39adccee 100644 --- a/README.md +++ b/README.md @@ -9,7 +9,7 @@

## Overview - `Wake-T` (**Wake**field particle **T**racker) is a tracking code for plasma wakefield accelerators which aims at providing a fast alternative to Particle-in-Cell (PIC) simulations. Instead of relying on the computationally-expensive PIC algorithm for simulating the plasma wakefields and the beam evolution, `Wake-T` uses an analytical or numerical (Runge-Kutta) solver to track the evolution of the beam electrons in the wakefields, which, at the same time, are computed from reduced models. This allows for a significant speed-up of the simulations, which can be performed in a matter of seconds instead or hours/days. An overview of this strategy can be seen in the following figure: + `Wake-T` (**Wake**field particle **T**racker) is a tracking code for plasma wakefield accelerators which aims at providing a fast alternative to Particle-in-Cell (PIC) simulations. Instead of relying on the computationally-expensive PIC algorithm for simulating the plasma wakefields and the beam evolution, `Wake-T` uses a Runge-Kutta solver to track the evolution of the beam electrons in the wakefields, which, at the same time, are computed from reduced models. This allows for a significant speed-up of the simulations, which can be performed in a matter of seconds instead or hours/days. An overview of this strategy can be seen in the following figure:

Wake-T logo

@@ -44,8 +44,6 @@ python setup.py install ## References -[1] - A. Ferran Pousa et al., *Intrinsic energy spread and bunch length growth in plasma-based accelerators due to betatron motion*, [Sci. Rep. **9**, 17690 ](https://doi.org/10.1038/s41598-019-53887-8) (2019). +[1] - P. Baxevanis and G. Stupakov, *Novel fast simulation technique for axisymmetric plasma wakefield acceleration configurations in the blowout regime*, [Phys. Rev. Accel. Beams **21**, 071301](https://journals.aps.org/prab/abstract/10.1103/PhysRevAccelBeams.21.071301) (2018). -[2] - P. Baxevanis and G. Stupakov, *Novel fast simulation technique for axisymmetric plasma wakefield acceleration configurations in the blowout regime*, [Phys. Rev. Accel. Beams **21**, 071301](https://journals.aps.org/prab/abstract/10.1103/PhysRevAccelBeams.21.071301) (2018). - -[3] - A. Ferran Pousa et al., *Wake-T: a fast particle tracking code for plasma-based accelerators*, [J. Phys.: Conf. Ser. **1350** 012056](https://iopscience.iop.org/article/10.1088/1742-6596/1350/1/012056) (2019). \ No newline at end of file +[2] - A. Ferran Pousa et al., *Wake-T: a fast particle tracking code for plasma-based accelerators*, [J. Phys.: Conf. Ser. **1350** 012056](https://iopscience.iop.org/article/10.1088/1742-6596/1350/1/012056) (2019). \ No newline at end of file diff --git a/other/plasma_tracking.png b/other/plasma_tracking.png index 7e7d5df2427039784a4581336203923dd30f95af..63c19b6c313e6acb22ff0dffe1cce427da956a55 100644 GIT binary patch literal 680753 zcmeEug;&(=);5oY1t=j(Dj=nRQbVKCH8h9_2qN7z^e8AD4k_K;Fm#D@OT!GIbR(TJ z^WFIPocElwzV)r|4|r!S7qJL`d++<&*S_|3{X;*;1%{!t$+_M89!Hej)zwgdgDz0GWhtKjkK0M9-biK`M1Q1{_9n*Hp99ok;`$*WV7q`By5?Q6fVJRE;bR|kXgT< z%zxiAHAm~Ct=^K zsU#?R)wN&?UU$}fI$Dv!=1TCdFZ%P&v)FtE^g7j17Tac4c!lWUOE{|fY-+Lko6jd= zjATxe%4FS+RlCzj8Ch=b=d^-PUpqVw!;@%vaW*)`<37miE1lB%JdJF?PadH5T5B_w||J@^osHtNUAWF z#tRV3EsR3ltTWEK4$|0aR%3;msSmZHnP3|}hx`9{8HV&oqdztm34iz=+l#Jr_|A*O zBEyJtUf&Y0b; zDrUd)-wO zr*L1lIa0+tNQdpSIl5r$@~;%YGD>zkd}VwTg!0z>pvb2k5kL1$8z^%zi~?Yv8hfpNzrZ6Q51)$P6jo@ zw~_txfY~24K@O|#D!gdj#?I7X`*Dk-(Y_a@AH2U~xp|6as<)i8!i=Z%?3irtx12mE zzww_x|8plNy=C*+vAJB%G@W!$2a80o+=At9lhPNb`@yH(qK$ zO0i~96CZ^Mq6Oq&P 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