def test_transform(self): e_sus = [mp.LorentzianSusceptibility(sigma_diag=mp.Vector3(1, 2, 3), sigma_offdiag=mp.Vector3(12, 13, 14)), mp.DrudeSusceptibility(sigma_diag=mp.Vector3(1, 2, 3), sigma_offdiag=mp.Vector3(12, 13, 14))] mat = mp.Medium(epsilon_diag=mp.Vector3(1, 2, 3), epsilon_offdiag=mp.Vector3(12, 13, 14), E_susceptibilities=e_sus) rot_angle = math.radians(23.9) rot_matrix = mp.Matrix(mp.Vector3(math.cos(rot_angle), math.sin(rot_angle), 0), mp.Vector3(-math.sin(rot_angle), math.cos(rot_angle), 0), mp.Vector3(0, 0, 1)) mat.transform(rot_matrix) expected_diag = mp.Vector3(-7.72552, 10.72552, 3) expected_offdiag = mp.Vector3(7.69024, 6.21332, 18.06640) self.assertTrue(mat.epsilon_diag.close(expected_diag, tol=4)) self.assertTrue(mat.epsilon_offdiag.close(expected_offdiag, tol=4)) self.assertEqual(mat.mu_diag, mp.Vector3(1, 1, 1)) self.assertEqual(mat.mu_offdiag, mp.Vector3()) self.assertEqual(len(mat.E_susceptibilities), 2) self.assertTrue(mat.E_susceptibilities[0].sigma_diag.close(expected_diag, tol=4)) self.assertTrue(mat.E_susceptibilities[0].sigma_offdiag.close(expected_offdiag, tol=4)) self.assertTrue(mat.E_susceptibilities[1].sigma_diag.close(expected_diag, tol=4)) self.assertTrue(mat.E_susceptibilities[1].sigma_offdiag.close(expected_offdiag, tol=4))
def calc(varibles,orginal,depth): um_scale = 1 say = 0 eV_um_scale = um_scale/1.23984193 Au_plasma_frq = 9.03*eV_um_scale metal_range = mp.FreqRange(min=um_scale/6.1992, max=um_scale/.24797) out = [] var = [np.linspace(varibles[j][0],varibles[j][1],5) for j in range(6)] correlation = -1 Au_f0 = 0.760 for i in range(5): Au_frq0 = var[0][i] Au_gam0 = 0.053*eV_um_scale Au_sig0 = Au_f0*Au_plasma_frq**2/Au_frq0**2 Au_f1 = 0.024 for j in range(5): Au_frq1 = var[1][j]*eV_um_scale # 2.988 um Au_gam1 = 0.241*eV_um_scale Au_sig1 = Au_f1*Au_plasma_frq**2/Au_frq1**2 Au_f2 = 0.010 for k in range(5): Au_frq2 = var[2][k]*eV_um_scale # 1.494 um Au_gam2 = 0.345*eV_um_scale Au_sig2 = Au_f2*Au_plasma_frq**2/Au_frq2**2 Au_f3 = 0.071 for l in range(5): Au_frq3 = var[3][l]*eV_um_scale # 0.418 um Au_gam3 = 0.870*eV_um_scale Au_sig3 = Au_f3*Au_plasma_frq**2/Au_frq3**2 Au_f4 = 0.601 for m in range(5): Au_frq4 = var[4][m]*eV_um_scale # 0.288 um Au_gam4 = 2.494*eV_um_scale Au_sig4 = Au_f4*Au_plasma_frq**2/Au_frq4**2 Au_f5 = 4.384 for n in range(5): Au_frq5 = var[5][n]*eV_um_scale # 0.093 um Au_gam5 = 2.214*eV_um_scale Au_sig5 = Au_f5*Au_plasma_frq**2/Au_frq5**2 Au_susc = [mp.DrudeSusceptibility(frequency=Au_frq0, gamma=Au_gam0, sigma=Au_sig0), mp.LorentzianSusceptibility(frequency=Au_frq1, gamma=Au_gam1, sigma=Au_sig1), mp.LorentzianSusceptibility(frequency=Au_frq2, gamma=Au_gam2, sigma=Au_sig2), mp.LorentzianSusceptibility(frequency=Au_frq3, gamma=Au_gam3, sigma=Au_sig3), mp.LorentzianSusceptibility(frequency=Au_frq4, gamma=Au_gam4, sigma=Au_sig4), mp.LorentzianSusceptibility(frequency=Au_frq5, gamma=Au_gam5, sigma=Au_sig5)] Au = mp.Medium(epsilon=1.0, E_susceptibilities=Au_susc, valid_freq_range=metal_range) freqs = np.linspace(um_scale/0.7,um_scale/0.35,101) au = np.empty(101,dtype=np.cdouble) say=say+1 for ii in range (101): au[ii]= Au.epsilon(freqs[ii])[1][1] temp = np.corrcoef(au,orginal)[0][1] if(correlation<temp): correlation = temp print(correlation) out = [i,j,k,l,m,n] print(out)
def test_1d_with_overlap(self): # A z=30 cell split into three fragments of size 10 each, with a block # covering the middle fragment, and half of the two outer fragments. mat = mp.Medium(H_susceptibilities=[mp.DrudeSusceptibility()]) fs = self.get_fragment_stats(mp.Vector3(z=20), mp.Vector3(z=30), 1, def_mat=mat) self.assertEqual(len(fs), 3) # Middle fragment is completely covered by the block self.check_stats(fs[1], a_eps=100, a_mu=100, nonlin=300, susc=300, cond=300) # Outer two fragments are half covered by the block, and half covered by default_material 'mat' for i in [0, 2]: self.check_stats(fs[i], a_eps=50, a_mu=50, nonlin=150, susc=200, cond=150)
def test_no_geometry(self): mat = mp.Medium(epsilon=12, epsilon_offdiag=mp.Vector3(x=1), mu_offdiag=mp.Vector3(x=20), E_chi2_diag=mp.Vector3(1, 1), H_chi3_diag=mp.Vector3(x=1), E_susceptibilities=[ mp.LorentzianSusceptibility(), mp.NoisyLorentzianSusceptibility() ], H_susceptibilities=[mp.DrudeSusceptibility()], D_conductivity_diag=mp.Vector3(y=1), B_conductivity_diag=mp.Vector3(x=1, z=1)) fs = self.get_fragment_stats(mp.Vector3(), mp.Vector3(10, 10), 2, def_mat=mat, geom=[]) self.assertEqual(len(fs), 1) self.check_stats(fs[0], a_eps=10000, a_mu=10000, nonlin=30000, susc=30000, cond=30000)
def get_fragment_stats(self, block_size, cell_size, dims, box_center=mp.Vector3(), dft_vecs=None, def_mat=mp.air, sym=[]): mat = mp.Medium( epsilon=12, epsilon_offdiag=mp.Vector3(z=1), mu_offdiag=mp.Vector3(x=20), E_chi2_diag=mp.Vector3(1, 1), H_chi3_diag=mp.Vector3(z=1), E_susceptibilities=[mp.LorentzianSusceptibility(), mp.NoisyLorentzianSusceptibility()], H_susceptibilities=[mp.DrudeSusceptibility()], D_conductivity_diag=mp.Vector3(y=1), B_conductivity_diag=mp.Vector3(x=1, z=1) ) geom = [mp.Block(size=block_size, center=box_center, material=mat)] sim = mp.Simulation(cell_size=cell_size, resolution=10, geometry=geom, dimensions=dims, default_material=def_mat, symmetries=sym) if dft_vecs: if dft_vecs['flux_regions']: sim.add_flux(1, 0.5, 5, *dft_vecs['flux_regions']) if dft_vecs['n2f_regions']: sim.add_near2far(1, 0.5, 7, *dft_vecs['n2f_regions']) if dft_vecs['force_regions']: sim.add_force(1, 0.5, 9, *dft_vecs['force_regions']) if dft_vecs['fields_components']: sim.add_dft_fields(dft_vecs['fields_components'], 0, 1, 5, where=dft_vecs['fields_where'], center=dft_vecs['fields_center'], size=dft_vecs['fields_size']) gv = sim._create_grid_volume(False) stats = sim._compute_fragment_stats(gv) return stats
def test_3d_with_overlap(self): # A 30 x 30 x 30 cell with a 20 x 20 x 20 block placed at the center, split # into 27 10 x 10 x 10 fragments mat = mp.Medium(E_susceptibilities=[mp.DrudeSusceptibility()]) fs = self.get_fragment_stats(mp.Vector3(20, 20, 20), mp.Vector3(30, 30, 30), 3, def_mat=mat) self.assertEqual(len(fs), 27) # Middle fragment contains entire block idx = 13 self.check_stats(fs[idx], a_eps=10000, a_mu=10000, nonlin=30000, susc=30000, cond=30000) # Six fragments adjacent to the middle fragment faces will be half covered by the block, # and half covered by default_material 'mat' for i in [4, 10, 12, 14, 16, 22]: self.check_stats(fs[i], a_eps=5000, a_mu=5000, nonlin=15000, susc=20000, cond=15000) # The corners will be 1/8 covered by the block and 7/8 covered by default_material 'mat' for i in [0, 2, 6, 8, 18, 20, 24, 26]: self.check_stats(fs[i], a_eps=1250, a_mu=1250, nonlin=3750, susc=12500, cond=3750) # The rest will be 1/4 covered by the block and 3/4 covered by default_material 'mat' for i in [1, 3, 5, 7, 9, 11, 15, 17, 19, 21, 23, 25]: self.check_stats(fs[i], a_eps=2500, a_mu=2500, nonlin=7500, susc=15000, cond=7500)
def main(args): resolution = 20 cell_size = mp.Vector3(z=10) dimensions = 1 # conversion factor fro eV to 1/um eV_um_scale = 1 / 1.23984193 # Al, from Rakic et al., Applied Optics, vol. 32, p. 5274 (1998) Al_eps_inf = 1 Al_plasma_frq = 14.98 * eV_um_scale Al_f0 = 0.523 Al_frq0 = 1e-10 Al_gam0 = 0.047 * eV_um_scale Al_sig0 = (Al_f0 * math.sqrt(Al_plasma_frq)) / (math.sqrt(Al_frq0)) Al_f1 = 0.050 Al_frq1 = 1.544 * eV_um_scale # 803 nm Al_gam1 = 0.312 * eV_um_scale Al_sig1 = (Al_f1 * math.sqrt(Al_plasma_frq)) / (math.sqrt(Al_frq1)) E_susceptibilities = [ mp.DrudeSusceptibility(frequency=Al_frq0, gamma=Al_gam0, sigma=Al_sig0), mp.LorentzianSusceptibility(frequency=Al_frq1, gamma=Al_gam1, sigma=Al_sig1) ] Al = mp.Medium(epsilon=Al_eps_inf, E_susceptibilities=E_susceptibilities) pml_layers = [ mp.PML(1, direction=mp.Z) if args.pml else mp.Absorber(1, direction=mp.Z) ] sources = [ mp.Source(src=mp.GaussianSource(1 / 0.803, fwidth=0.1), center=mp.Vector3(), component=mp.Ex) ] def print_stuff(sim): print("ex:, {}, {}".format(sim.meep_time(), sim.get_field_point(mp.Ex, mp.Vector3()))) sim = mp.Simulation(cell_size=cell_size, resolution=resolution, dimensions=dimensions, default_material=Al, boundary_layers=pml_layers, sources=sources) sim.run(mp.at_every(10, print_stuff), until_after_sources=mp.stop_when_fields_decayed( 50, mp.Ex, mp.Vector3(), 1e-6))
def lossy_Pd(r): """Give a input r between 0 and 1, the function will return a modified Pd with lower reflection. The absorption coefficient is lower too. We have to use a thicker layer the prevent any transmission. """ um_scale = 1.0 # conversion factor for eV to 1/um [=1/hc] eV_um_scale = um_scale / 1.23984193 metal_range = mp.FreqRange(min=um_scale / 12.4, max=um_scale / 0.2) Pd_plasma_frq = 9.72 * eV_um_scale Pd_f0 = 0.330 Pd_frq0 = 1e-10 Pd_gam0 = 0.008 * eV_um_scale Pd_sig0 = Pd_f0 * Pd_plasma_frq**2 / Pd_frq0**2 Pd_f1 = 0.649 Pd_frq1 = 0.336 * eV_um_scale # 3.690 um Pd_gam1 = 2.950 * eV_um_scale Pd_sig1 = Pd_f1 * Pd_plasma_frq**2 / Pd_frq1**2 Pd_f2 = 0.121 Pd_frq2 = 0.501 * eV_um_scale # 2.475 um Pd_gam2 = 0.555 * eV_um_scale Pd_sig2 = Pd_f2 * Pd_plasma_frq**2 / Pd_frq2**2 Pd_f3 = 0.638 Pd_frq3 = 1.659 * eV_um_scale # 0.747 um Pd_gam3 = 4.621 * eV_um_scale Pd_sig3 = Pd_f3 * Pd_plasma_frq**2 / Pd_frq3**2 Pd_f4 = 0.453 Pd_frq4 = 5.715 * eV_um_scale # 0.217 um Pd_gam4 = 3.236 * eV_um_scale Pd_sig4 = Pd_f4 * Pd_plasma_frq**2 / Pd_frq4**2 Pd_susc = [ mp.DrudeSusceptibility(frequency=Pd_frq0, gamma=Pd_gam0, sigma=Pd_sig0 * r), mp.LorentzianSusceptibility(frequency=Pd_frq1, gamma=Pd_gam1, sigma=Pd_sig1 * r), mp.LorentzianSusceptibility(frequency=Pd_frq2, gamma=Pd_gam2, sigma=Pd_sig2 * r), mp.LorentzianSusceptibility(frequency=Pd_frq3, gamma=Pd_gam3, sigma=Pd_sig3 * r), mp.LorentzianSusceptibility(frequency=Pd_frq4, gamma=Pd_gam4, sigma=Pd_sig4 * r) ] Pd = mp.Medium(epsilon=1.0, E_susceptibilities=Pd_susc, valid_freq_range=metal_range) return Pd
def test_1d_with_overlap(self): # A z=30 cell, with a block covering the middle 20 units. mat = mp.Medium(H_susceptibilities=[mp.DrudeSusceptibility()]) fs = self.get_fragment_stats(mp.Vector3(z=20), mp.Vector3(z=30), 1, def_mat=mat) self.check_stats(fs, a_eps=200, a_mu=200, nonlin=600, susc=700, cond=600)
def setUp(self): resolution = 20 cell_size = mp.Vector3(z=10) dimensions = 1 # conversion factor from eV to 1/um eV_um_scale = 1 / 1.23984193 # Al, from Rakic et al., Applied Optics, vol. 32, p. 5274 (1998) Al_eps_inf = 1 Al_plasma_frq = 14.98 * eV_um_scale Al_f0 = 0.523 Al_frq0 = 1e-10 Al_gam0 = 0.047 * eV_um_scale Al_sig0 = (Al_f0 * math.sqrt(Al_plasma_frq)) / (math.sqrt(Al_frq0)) Al_f1 = 0.050 Al_frq1 = 1.544 * eV_um_scale # 803 nm Al_gam1 = 0.312 * eV_um_scale Al_sig1 = (Al_f1 * math.sqrt(Al_plasma_frq)) / (math.sqrt(Al_frq1)) E_susceptibilities = [ mp.DrudeSusceptibility(frequency=Al_frq0, gamma=Al_gam0, sigma=Al_sig0), mp.LorentzianSusceptibility(frequency=Al_frq1, gamma=Al_gam1, sigma=Al_sig1) ] Al = mp.Medium(epsilon=Al_eps_inf, E_susceptibilities=E_susceptibilities) absorber_layers = [mp.Absorber(1, direction=mp.Z)] sources = [ mp.Source(src=mp.GaussianSource(1 / 0.803, fwidth=0.1), center=mp.Vector3(), component=mp.Ex) ] self.sim = mp.Simulation(cell_size=cell_size, resolution=resolution, dimensions=dimensions, default_material=Al, boundary_layers=absorber_layers, sources=sources)
def test_2d_with_overlap(self): # A 30 x 30 cell, with a 20 x 20 block in the middle, split into 9 10 x 10 fragments. mat = mp.Medium(H_susceptibilities=[mp.DrudeSusceptibility()]) fs = self.get_fragment_stats(mp.Vector3(20, 20), mp.Vector3(30, 30), 2, def_mat=mat) self.assertEqual(len(fs), 9) # Middle fragment contains entire block idx = 4 self.check_stats(fs[idx], a_eps=1000, a_mu=1000, nonlin=3000, susc=3000, cond=3000) # Top-middle, bottom-middle, left-middle, and right-middle fragments are half # covered by the block, and half covered by default_material 'mat'. for i in [1, 3, 5, 7]: self.check_stats(fs[i], a_eps=500, a_mu=500, nonlin=1500, susc=2000, cond=1500) # The four corner fragments are quarter-filled by the block, and 3/4 filled by # default_material 'mat' for i in [0, 2, 6, 8]: self.check_stats(fs[i], a_eps=250, a_mu=250, nonlin=750, susc=1500, cond=750)
frq_max = 1/wvl_min frq_cen = 0.5*(frq_min+frq_max) dfrq = frq_max-frq_min um_scale = alpha# default unit length is 1 um eV_um_scale = um_scale/1.23984193# conversion factor for eV to 1/um [=1/hc] h_plankeV=4.135667662*10**-15 # eVs ## Define material susceptibility # Drude drude_range = mp.FreqRange(min=um_scale/(wvl_max*2), max=um_scale/(wvl_min/2)) # Valid frequency range um_scale/wavelength drude_frq = Omega_p*eV_um_scale # converts energy to meep frequency drude_gam = Gama*eV_um_scale # converts energy to meep frequency drude_sig = Sigma drude_sig_diag=Sigma_diag epsilon = epsilon_inf # epsilon infinity drude_susc = [mp.DrudeSusceptibility(frequency=drude_frq, gamma=drude_gam, sigma=drude_sig, sigma_diag=drude_sig_diag)] drude = mp.Medium(epsilon_diag=mp.Vector3(epsilon, epsilon, epsilon), E_susceptibilities=drude_susc, valid_freq_range=drude_range) c1=mp.Vector3(tr_x, 0.0, 0.0) c2=mp.Vector3(0.0, tr_y, 0.0) c3=mp.Vector3(0.0, 0.0, tr_z) m_tr=mp.Matrix(c1,c2,c3) drude.transform(m_tr) material_set=drude ## Create geometry lx=lx*tr_x ly=ly*tr_y lz=lz*tr_z material_ref=mp.Medium(epsilon_diag=mp.Vector3(1, 1, 1),mu_diag=mp.Vector3(1,1,1)) material_ref.transform(m_tr)
def import_medium(name, from_um_factor=1, paper="R"): """Returns Medium instance from string with specified length scale It's widely based on Meep Materials Library, merely adapted to change according to the length unit scale used. Parameters ---------- name: str Name of the desired material. from_um_factor=1 : int, float, optional Factor to transform from SI μm to the chosen length unit. For example, to work with 100 nm as 1 Meep unit, from_um_factor=.1 must be specified. paper="R": str Name of desired source for experimental input data of medium. Returns ------- medium : mp.Medium The mp.Medium instance of the desired material. Raises ------ "No media called ... is available" : SyntaxError If no material is found whose name matches the string given. """ if "Ag" not in name and "Au" not in name: raise SyntaxError("No media called {} is available".format(name)) return # Default unit length is 1 um eV_from_um_factor = from_um_factor / 1.23984193 # Conversion factor: eV to 1/um [=1/hc] # from_um_factor used to be um_scale (but that's a shady name) ############ GOLD ################################################# if name == "Au" and paper == "R": #------------------------------------------------------------------ # Elemental metals from A.D. Rakic et al., Applied Optics, Vol. 37, No. 22, pp. 5271-83, 1998 # Wavelength range: 0.2 - 12.4 um # Gold (Au) metal_range = mp.FreqRange(min=from_um_factor * 1e3 / 6199.2, max=from_um_factor * 1e3 / 247.97) Au_plasma_frq = 9.03 * eV_from_um_factor Au_f0 = 0.760 Au_frq0 = 1e-10 Au_gam0 = 0.053 * eV_from_um_factor Au_sig0 = Au_f0 * Au_plasma_frq**2 / Au_frq0**2 Au_f1 = 0.024 Au_frq1 = 0.415 * eV_from_um_factor # 2.988 um Au_gam1 = 0.241 * eV_from_um_factor Au_sig1 = Au_f1 * Au_plasma_frq**2 / Au_frq1**2 Au_f2 = 0.010 Au_frq2 = 0.830 * eV_from_um_factor # 1.494 um Au_gam2 = 0.345 * eV_from_um_factor Au_sig2 = Au_f2 * Au_plasma_frq**2 / Au_frq2**2 Au_f3 = 0.071 Au_frq3 = 2.969 * eV_from_um_factor # 0.418 um Au_gam3 = 0.870 * eV_from_um_factor Au_sig3 = Au_f3 * Au_plasma_frq**2 / Au_frq3**2 Au_f4 = 0.601 Au_frq4 = 4.304 * eV_from_um_factor # 0.288 um Au_gam4 = 2.494 * eV_from_um_factor Au_sig4 = Au_f4 * Au_plasma_frq**2 / Au_frq4**2 Au_f5 = 4.384 Au_frq5 = 13.32 * eV_from_um_factor # 0.093 um Au_gam5 = 2.214 * eV_from_um_factor Au_sig5 = Au_f5 * Au_plasma_frq**2 / Au_frq5**2 Au_susc = [ mp.DrudeSusceptibility(frequency=Au_frq0, gamma=Au_gam0, sigma=Au_sig0), mp.LorentzianSusceptibility(frequency=Au_frq1, gamma=Au_gam1, sigma=Au_sig1), mp.LorentzianSusceptibility(frequency=Au_frq2, gamma=Au_gam2, sigma=Au_sig2), mp.LorentzianSusceptibility(frequency=Au_frq3, gamma=Au_gam3, sigma=Au_sig3), mp.LorentzianSusceptibility(frequency=Au_frq4, gamma=Au_gam4, sigma=Au_sig4), mp.LorentzianSusceptibility(frequency=Au_frq5, gamma=Au_gam5, sigma=Au_sig5) ] Au = mp.Medium(epsilon=1.0, E_susceptibilities=Au_susc, valid_freq_range=metal_range) Au.from_um_factor = from_um_factor return Au elif name == "Au" and paper == "JC": #------------------------------------------------------------------ # Metals from D. Barchiesi and T. Grosges, J. Nanophotonics, Vol. 8, 08996, 2015 # Wavelength range: 0.4 - 0.8 um # Gold (Au) # Fit to P.B. Johnson and R.W. Christy, Physical Review B, Vol. 6, pp. 4370-9, 1972 # metal_visible_range = mp.FreqRange(min=from_um_factor*1e3/800, # max=from_um_factor*1e3/400) # Au_JC_visible_frq0 = 1*from_um_factor/0.139779231751333 # Au_JC_visible_gam0 = 1*from_um_factor/26.1269913352870 # Au_JC_visible_sig0 = 1 # Au_JC_visible_frq1 = 1*from_um_factor/0.404064525036786 # Au_JC_visible_gam1 = 1*from_um_factor/1.12834046202759 # Au_JC_visible_sig1 = 2.07118534879440 # Au_JC_visible_susc = [mp.DrudeSusceptibility(frequency=Au_JC_visible_frq0, gamma=Au_JC_visible_gam0, sigma=Au_JC_visible_sig0), # mp.LorentzianSusceptibility(frequency=Au_JC_visible_frq1, gamma=Au_JC_visible_gam1, sigma=Au_JC_visible_sig1)] # Au_JC_visible = mp.Medium(epsilon=6.1599, # E_susceptibilities=Au_JC_visible_susc, # valid_freq_range=metal_visible_range) # Au_JC_visible.from_um_factor = from_um_factor # return Au_JC_visible #------------------------------------------------------------------ # Metal from my own fit # Wavelength range: 0.1879 - 1.937 um # Gold (Au) # Fit to P.B. Johnson and R.W. Christy, Physical Review B, Vol. 6, pp. 4370-9, 1972 Au_JC_range = mp.FreqRange(min=from_um_factor / 1.937, max=from_um_factor / .1879) freq_0 = 1.000000082740371e-10 * from_um_factor gamma_0 = 4.4142682842363e-09 * from_um_factor sigma_0 = 3.3002903009040977e+21 freq_1 = 0.3260039379724786 * from_um_factor gamma_1 = 0.03601307014052124 * from_um_factor sigma_1 = 103.74591029640469 freq_2 = 0.47387215165339414 * from_um_factor gamma_2 = 0.34294093699162054 * from_um_factor sigma_2 = 14.168079504545002 freq_3 = 2.3910144662345445 * from_um_factor gamma_3 = 0.5900378254265015 * from_um_factor sigma_3 = 0.8155991478264435 freq_4 = 3.3577076082530537 * from_um_factor gamma_4 = 1.6689250252226686 * from_um_factor sigma_4 = 2.038193481751111 freq_5 = 8.915719663759013 * from_um_factor gamma_5 = 7.539763092679264 * from_um_factor sigma_5 = 3.74409654935571 Au_JC_susc = [ mp.DrudeSusceptibility(frequency=freq_0, gamma=gamma_0, sigma=sigma_0), mp.LorentzianSusceptibility(frequency=freq_1, gamma=gamma_1, sigma=sigma_1), mp.LorentzianSusceptibility(frequency=freq_2, gamma=gamma_2, sigma=sigma_2), mp.LorentzianSusceptibility(frequency=freq_3, gamma=gamma_3, sigma=sigma_3), mp.LorentzianSusceptibility(frequency=freq_4, gamma=gamma_4, sigma=sigma_4), mp.LorentzianSusceptibility(frequency=freq_5, gamma=gamma_5, sigma=sigma_5) ] Au_JC = mp.Medium( epsilon=1.0, #6.1599, E_susceptibilities=Au_JC_susc, valid_freq_range=Au_JC_range) Au_JC.from_um_factor = from_um_factor return Au_JC elif name == "Au" and paper == "P": #------------------------------------------------------------------ # Metals from D. Barchiesi and T. Grosges, J. Nanophotonics, Vol. 8, 08996, 2015 # Wavelength range: 0.4 - 0.8 um # Gold (Au) # Fit to E.D. Palik, Handbook of Optical Constants, Academic Press, 1985 metal_visible_range = mp.FreqRange(min=from_um_factor * 1e3 / 800, max=from_um_factor * 1e3 / 400) Au_visible_frq0 = 1 * from_um_factor / 0.0473629248511456 Au_visible_gam0 = 1 * from_um_factor / 0.255476199605166 Au_visible_sig0 = 1 Au_visible_frq1 = 1 * from_um_factor / 0.800619321082804 Au_visible_gam1 = 1 * from_um_factor / 0.381870287531951 Au_visible_sig1 = -169.060953137985 Au_visible_susc = [ mp.DrudeSusceptibility(frequency=Au_visible_frq0, gamma=Au_visible_gam0, sigma=Au_visible_sig0), mp.LorentzianSusceptibility(frequency=Au_visible_frq1, gamma=Au_visible_gam1, sigma=Au_visible_sig1) ] Au_visible = mp.Medium(epsilon=0.6888, E_susceptibilities=Au_visible_susc, valid_freq_range=metal_visible_range) Au_visible.from_um_factor = from_um_factor return Au_visible elif name == "Au": raise ValueError("No source found for Au with that name") ############ SILVER ############################################### if name == "Ag" and paper == "R": #------------------------------------------------------------------ # Elemental metals from A.D. Rakic et al., Applied Optics, Vol. 37, No. 22, pp. 5271-83, 1998 # Wavelength range: 0.2 - 12.4 um # Silver (Ag) metal_range = mp.FreqRange(min=from_um_factor * 1e3 / 12398, max=from_um_factor * 1e3 / 247.97) Ag_plasma_frq = 9.01 * eV_from_um_factor Ag_f0 = 0.845 Ag_frq0 = 1e-10 Ag_gam0 = 0.048 * eV_from_um_factor Ag_sig0 = Ag_f0 * Ag_plasma_frq**2 / Ag_frq0**2 Ag_f1 = 0.065 Ag_frq1 = 0.816 * eV_from_um_factor # 1.519 um Ag_gam1 = 3.886 * eV_from_um_factor Ag_sig1 = Ag_f1 * Ag_plasma_frq**2 / Ag_frq1**2 Ag_f2 = 0.124 Ag_frq2 = 4.481 * eV_from_um_factor # 0.273 um Ag_gam2 = 0.452 * eV_from_um_factor Ag_sig2 = Ag_f2 * Ag_plasma_frq**2 / Ag_frq2**2 Ag_f3 = 0.011 Ag_frq3 = 8.185 * eV_from_um_factor # 0.152 um Ag_gam3 = 0.065 * eV_from_um_factor Ag_sig3 = Ag_f3 * Ag_plasma_frq**2 / Ag_frq3**2 Ag_f4 = 0.840 Ag_frq4 = 9.083 * eV_from_um_factor # 0.137 um Ag_gam4 = 0.916 * eV_from_um_factor Ag_sig4 = Ag_f4 * Ag_plasma_frq**2 / Ag_frq4**2 Ag_f5 = 5.646 Ag_frq5 = 20.29 * eV_from_um_factor # 0.061 um Ag_gam5 = 2.419 * eV_from_um_factor Ag_sig5 = Ag_f5 * Ag_plasma_frq**2 / Ag_frq5**2 Ag_susc = [ mp.DrudeSusceptibility(frequency=Ag_frq0, gamma=Ag_gam0, sigma=Ag_sig0), mp.LorentzianSusceptibility(frequency=Ag_frq1, gamma=Ag_gam1, sigma=Ag_sig1), mp.LorentzianSusceptibility(frequency=Ag_frq2, gamma=Ag_gam2, sigma=Ag_sig2), mp.LorentzianSusceptibility(frequency=Ag_frq3, gamma=Ag_gam3, sigma=Ag_sig3), mp.LorentzianSusceptibility(frequency=Ag_frq4, gamma=Ag_gam4, sigma=Ag_sig4), mp.LorentzianSusceptibility(frequency=Ag_frq5, gamma=Ag_gam5, sigma=Ag_sig5) ] Ag = mp.Medium(epsilon=1.0, E_susceptibilities=Ag_susc, valid_freq_range=metal_range) Ag.from_um_factor = from_um_factor return Ag elif name == "Ag" and paper == "P": #------------------------------------------------------------------ # Metals from D. Barchiesi and T. Grosges, J. Nanophotonics, Vol. 8, 08996, 2015 # Wavelength range: 0.4 - 0.8 um ## WARNING: unstable; field divergence may occur # Silver (Au) # Fit to E.D. Palik, Handbook of Optical Constants, Academic Press, 1985 metal_visible_range = mp.FreqRange(min=from_um_factor * 1e3 / 800, max=from_um_factor * 1e3 / 400) Ag_visible_frq0 = 1 * from_um_factor / 0.142050162130618 Ag_visible_gam0 = 1 * from_um_factor / 18.0357292925015 Ag_visible_sig0 = 1 Ag_visible_frq1 = 1 * from_um_factor / 0.115692151792108 Ag_visible_gam1 = 1 * from_um_factor / 0.257794324096575 Ag_visible_sig1 = 3.74465275944019 Ag_visible_susc = [ mp.DrudeSusceptibility(frequency=Ag_visible_frq0, gamma=Ag_visible_gam0, sigma=Ag_visible_sig0), mp.LorentzianSusceptibility(frequency=Ag_visible_frq1, gamma=Ag_visible_gam1, sigma=Ag_visible_sig1) ] Ag_visible = mp.Medium(epsilon=0.0067526, E_susceptibilities=Ag_visible_susc, valid_freq_range=metal_visible_range) Ag_visible.from_um_factor = from_um_factor return Ag_visible elif name == "Ag": raise ValueError("No source found for Ag with that name") else: raise ValueError("No source found for that material")
# find the best performing set of parameters idx_opt = np.where(np.min(mins) == mins) print(f"optimal:, {ps[idx_opt]}, {mins[idx_opt]}") # define a Meep `Medium` class object using the optimal fitting parameters E_susceptibilities = [] for n in range(num_lorentzians): mymaterial_freq = ps[idx_opt][0][3 * n + 1] mymaterial_gamma = ps[idx_opt][0][3 * n + 2] if mymaterial_freq == 0: mymaterial_sigma = ps[idx_opt][0][3 * n + 0] E_susceptibilities.append( mp.DrudeSusceptibility(frequency=1.0, gamma=mymaterial_gamma, sigma=mymaterial_sigma)) else: mymaterial_sigma = ps[idx_opt][0][3 * n + 0] / mymaterial_freq**2 E_susceptibilities.append( mp.LorentzianSusceptibility(frequency=mymaterial_freq, gamma=mymaterial_gamma, sigma=mymaterial_sigma)) mymaterial = mp.Medium(epsilon=eps_inf, E_susceptibilities=E_susceptibilities) # plot the fit and the actual data for comparison mymaterial_eps = [mymaterial.epsilon(f)[0][0] for f in freqs_reduced] plt.subplot(1, 2, 1)
Ag_gam1 = 3.886*eV_um_scale Ag_sig1 = Ag_f1*Ag_plasma_frq**2/Ag_frq1**2 Ag_f2 = 0.124 Ag_frq2 = 4.481*eV_um_scale # 0.273 um Ag_gam2 = 0.452*eV_um_scale Ag_sig2 = Ag_f2*Ag_plasma_frq**2/Ag_frq2**2 Ag_f3 = 0.011 Ag_frq3 = 8.185*eV_um_scale # 0.152 um Ag_gam3 = 0.065*eV_um_scale Ag_sig3 = Ag_f3*Ag_plasma_frq**2/Ag_frq3**2 Ag_f4 = 0.840 Ag_frq4 = 9.083*eV_um_scale # 0.137 um Ag_gam4 = 0.916*eV_um_scale Ag_sig4 = Ag_f4*Ag_plasma_frq**2/Ag_frq4**2 Ag_susc = [ mp.DrudeSusceptibility(frequency=Ag_frq0, gamma=Ag_gam0, sigma=Ag_sig0), mp.LorentzianSusceptibility(frequency=Ag_frq1, gamma=Ag_gam1, sigma=Ag_sig1), mp.LorentzianSusceptibility(frequency=Ag_frq2, gamma=Ag_gam2, sigma=Ag_sig2), mp.LorentzianSusceptibility(frequency=Ag_frq3, gamma=Ag_gam3, sigma=Ag_sig3), mp.LorentzianSusceptibility(frequency=Ag_frq4, gamma=Ag_gam4, sigma=Ag_sig4) ] Ag = mp.Medium(epsilon=1.0, E_susceptibilities=Ag_susc, valid_freq_range=metal_range) #------------------------------------------------------------------ Au_plasma_frq = 9.03*eV_um_scale Au_f0 = 0.760 Au_frq0 = 1e-10 Au_gam0 = 0.053*eV_um_scale Au_sig0 = Au_f0*Au_plasma_frq**2/Au_frq0**2 Au_f1 = 0.024
Ag_sig1 = Ag_f1 * Ag_plasma_frq**2 / Ag_frq1**2 Ag_f2 = 0.124 Ag_frq2 = 4.481 * eV_um_scale # 0.273 um Ag_gam2 = 0.452 * eV_um_scale Ag_sig2 = Ag_f2 * Ag_plasma_frq**2 / Ag_frq2**2 Ag_f3 = 0.011 Ag_frq3 = 8.185 * eV_um_scale # 0.152 um Ag_gam3 = 0.065 * eV_um_scale Ag_sig3 = Ag_f3 * Ag_plasma_frq**2 / Ag_frq3**2 Ag_f4 = 0.840 Ag_frq4 = 9.083 * eV_um_scale # 0.137 um Ag_gam4 = 0.916 * eV_um_scale Ag_sig4 = Ag_f4 * Ag_plasma_frq**2 / Ag_frq4**2 Ag_susc = [ mp.DrudeSusceptibility(frequency=Ag_frq0, gamma=Ag_gam0, sigma=Ag_sig0), mp.LorentzianSusceptibility(frequency=Ag_frq1, gamma=Ag_gam1, sigma=Ag_sig1), mp.LorentzianSusceptibility(frequency=Ag_frq2, gamma=Ag_gam2, sigma=Ag_sig2), mp.LorentzianSusceptibility(frequency=Ag_frq3, gamma=Ag_gam3, sigma=Ag_sig3), mp.LorentzianSusceptibility(frequency=Ag_frq4, gamma=Ag_gam4, sigma=Ag_sig4) ] Ag = mp.Medium(epsilon=1.0, E_susceptibilities=Ag_susc)
um_scale = 1.0 eV_um_scale = um_scale / 1.23984193 metal_range = mp.FreqRange(min=um_scale / 12.4, max=um_scale / 0.2) ############################ # Indium 295K ############################ metal_range = mp.FreqRange(min=um_scale / 10, max=um_scale / 0.1) In295_plasma_frq = 7.462 * um_scale In295_frq0 = 1e-10 In295_gam0 = 0.147 * um_scale In295_sig0 = In295_plasma_frq**2 / In295_frq0**2 In295_susc = [ mp.DrudeSusceptibility(frequency=In295_frq0, gamma=In295_gam0, sigma=In295_sig0), ] #:Personal material, Indium at 295K In295 = mp.Medium(epsilon=3.363, E_susceptibilities=In295_susc, valid_freq_range=metal_range) ############################ # Indium 4.2K ############################ metal_range = mp.FreqRange(min=um_scale / 10, max=um_scale / 0.1) In4p2_plasma_frq = 6.8353 * um_scale In4p2_frq0 = 1e-10 In4p2_gam0 = 0.0471 * um_scale
# ---------------------------------------------------------------------------- # # Import Libraries # ---------------------------------------------------------------------------- # import meep as mp import numpy as np import matplotlib.pyplot as plt # ---------------------------------------------------------------------------- # # Important constants and materials # ---------------------------------------------------------------------------- # eps0 = 7.40523989e+02 susceptibilities = [ mp.DrudeSusceptibility(frequency=5.28366673e-01, gamma=1.62316031, sigma=1.17034609e-03), mp.LorentzianSusceptibility(frequency=4.19962269e+02, gamma=1.84154007e+03, sigma=7.44917949e+02) ] FR4 = mp.Medium(epsilon=eps0, E_susceptibilities=susceptibilities) # ---------------------------------------------------------------------------- # # Create Geometry # ---------------------------------------------------------------------------- # ww = 0.5 # waveguide width (microns) wl = 10 # waveguie height (microns) waveguide = mp.Block(material=FR4, center=mp.Vector3(0, 0, 0),
Ag_frq3 = 8.185 * eV_um_scale # 0.152 um Ag_gam3 = 0.065 * eV_um_scale Ag_sig3 = Ag_f3 * Ag_plasma_frq**2 / Ag_frq3**2 Ag_f4 = 0.840 Ag_frq4 = 9.083 * eV_um_scale # 0.137 um Ag_gam4 = 0.916 * eV_um_scale Ag_sig4 = Ag_f4 * Ag_plasma_frq**2 / Ag_frq4**2 Ag_f5 = 5.646 Ag_frq5 = 20.29 * eV_um_scale # 0.137 um Ag_gam5 = 2.419 * eV_um_scale Ag_sig5 = Ag_f5 * Ag_plasma_frq**2 / Ag_frq5**2 Ag_susc = [ mp.DrudeSusceptibility(frequency=Ag_frq0, gamma=Ag_gam0, sigma=Ag_sig0), mp.LorentzianSusceptibility(frequency=Ag_frq1, gamma=Ag_gam1, sigma=Ag_sig1), mp.LorentzianSusceptibility(frequency=Ag_frq2, gamma=Ag_gam2, sigma=Ag_sig2), mp.LorentzianSusceptibility(frequency=Ag_frq3, gamma=Ag_gam3, sigma=Ag_sig3), mp.LorentzianSusceptibility(frequency=Ag_frq4, gamma=Ag_gam4, sigma=Ag_sig4), mp.LorentzianSusceptibility(frequency=Ag_frq5, gamma=Ag_gam5, sigma=Ag_sig5)
Au_gam2 = 0.345*eV_um_scale Au_sig2 = Au_f2*Au_plasma_frq**2/Au_frq2**2 Au_f3 = 0.071 Au_frq3 = var[0]*eV_um_scale # 0.418 um Au_gam3 = 0.870*eV_um_scale Au_sig3 = Au_f3*Au_plasma_frq**2/Au_frq3**2 Au_f4 = 0.601 Au_frq4 = var[0]*eV_um_scale # 0.288 um Au_gam4 = 2.494*eV_um_scale Au_sig4 = Au_f4*Au_plasma_frq**2/Au_frq4**2 Au_f5 = 4.384 Au_frq5 = var[4]*eV_um_scale # 0.093 um Au_gam5 = 2.214*eV_um_scale Au_sig5 = Au_f5*Au_plasma_frq**2/Au_frq5**2 Au_susc = [mp.DrudeSusceptibility(frequency=Au_frq0, gamma=Au_gam0, sigma=Au_sig0), mp.LorentzianSusceptibility(frequency=Au_frq1, gamma=Au_gam1, sigma=Au_sig1), mp.LorentzianSusceptibility(frequency=Au_frq2, gamma=Au_gam2, sigma=Au_sig2), mp.LorentzianSusceptibility(frequency=Au_frq3, gamma=Au_gam3, sigma=Au_sig3), mp.LorentzianSusceptibility(frequency=Au_frq4, gamma=Au_gam4, sigma=Au_sig4), mp.LorentzianSusceptibility(frequency=Au_frq5, gamma=Au_gam5, sigma=Au_sig5)] Auour = mp.Medium(epsilon=1.0, E_susceptibilities=Au_susc, valid_freq_range=metal_range) freqs = np.linspace(um_scale/0.7,um_scale/0.35,101) au = np.empty(101,dtype=np.cdouble) freqs = np.linspace(um_scale/0.7,um_scale/0.35,101) au = np.empty(101,dtype=np.cdouble) auour = np.empty(101,dtype=np.cdouble) for i in range (101): auour[i]= Auour.epsilon(freqs[i])[1][1] au[i]= Au.epsilon(freqs[i])[1][1]
def main(args): resolution = 30 nSiO2 = 1.4 SiO2 = mp.Medium(index=nSiO2) # conversion factor for eV to 1/um eV_um_scale = 1 / 1.23984193 # W, from Rakic et al., Applied Optics, vol. 32, p. 5274 (1998) W_eps_inf = 1 W_plasma_frq = 13.22 * eV_um_scale W_f0 = 0.206 W_frq0 = 1e-10 W_gam0 = 0.064 * eV_um_scale W_sig0 = W_f0 * W_plasma_frq**2 / W_frq0**2 W_f1 = 0.054 W_frq1 = 1.004 * eV_um_scale # 1.235 um W_gam1 = 0.530 * eV_um_scale W_sig1 = W_f1 * W_plasma_frq**2 / W_frq1**2 W_f2 = 0.166 W_frq2 = 1.917 * eV_um_scale # 0.647 W_gam2 = 1.281 * eV_um_scale W_sig2 = W_f2 * W_plasma_frq**2 / W_frq2**2 W_susc = [ mp.DrudeSusceptibility(frequency=W_frq0, gamma=W_gam0, sigma=W_sig0), mp.LorentzianSusceptibility(frequency=W_frq1, gamma=W_gam1, sigma=W_sig1), mp.LorentzianSusceptibility(frequency=W_frq2, gamma=W_gam2, sigma=W_sig2) ] W = mp.Medium(epsilon=W_eps_inf, E_susceptibilities=W_susc) # crystalline Si, from M.A. Green, Solar Energy Materials and Solar Cells, vol. 92, pp. 1305-1310 (2008) # fitted Lorentzian parameters, only for 600nm-1100nm Si_eps_inf = 9.14 Si_eps_imag = -0.0334 Si_eps_imag_frq = 1 / 1.55 Si_frq = 2.2384 Si_gam = 4.3645e-02 Si_sig = 14.797 / Si_frq**2 Si = mp.Medium(epsilon=Si_eps_inf, D_conductivity=2 * math.pi * Si_eps_imag_frq * Si_eps_imag / Si_eps_inf, E_susceptibilities=[ mp.LorentzianSusceptibility(frequency=Si_frq, gamma=Si_gam, sigma=Si_sig) ]) a = args.a # lattice periodicity cone_r = args.cone_r # cone radius cone_h = args.cone_h # cone height wire_w = args.wire_w # metal-grid wire width wire_h = args.wire_h # metal-grid wire height trench_w = args.trench_w # trench width trench_h = args.trench_h # trench height Np = args.Np # number of periods in supercell dair = 1.0 # air gap thickness dmcl = 1.7 # micro lens thickness dsub = 3000.0 # substrate thickness dpml = 1.0 # PML thickness sxy = Np * a sz = dpml + dair + dmcl + dsub + dpml cell_size = mp.Vector3(sxy, sxy, sz) boundary_layers = [ mp.PML(dpml, direction=mp.Z, side=mp.High), mp.Absorber(dpml, direction=mp.Z, side=mp.Low) ] geometry = [] if args.substrate: geometry = [ mp.Sphere(material=SiO2, radius=dmcl, center=mp.Vector3(0, 0, 0.5 * sz - dpml - dair - dmcl)), mp.Block(material=Si, size=mp.Vector3(mp.inf, mp.inf, dsub + dpml), center=mp.Vector3(0, 0, -0.5 * sz + 0.5 * (dsub + dpml))), mp.Block( material=W, size=mp.Vector3(mp.inf, wire_w, wire_h), center=mp.Vector3(0, -0.5 * sxy + 0.5 * wire_w, -0.5 * sz + dpml + dsub + 0.5 * wire_h)), mp.Block( material=W, size=mp.Vector3(mp.inf, wire_w, wire_h), center=mp.Vector3(0, +0.5 * sxy - 0.5 * wire_w, -0.5 * sz + dpml + dsub + 0.5 * wire_h)), mp.Block( material=W, size=mp.Vector3(wire_w, mp.inf, wire_h), center=mp.Vector3(-0.5 * sxy + 0.5 * wire_w, 0, -0.5 * sz + dpml + dsub + 0.5 * wire_h)), mp.Block(material=W, size=mp.Vector3(wire_w, mp.inf, wire_h), center=mp.Vector3(+0.5 * sxy - 0.5 * wire_w, 0, -0.5 * sz + dpml + dsub + 0.5 * wire_h)) ] if args.substrate and args.texture: for nx in range(Np): for ny in range(Np): cx = -0.5 * sxy + (nx + 0.5) * a cy = -0.5 * sxy + (ny + 0.5) * a geometry.append( mp.Cone(material=SiO2, radius=0, radius2=cone_r, height=cone_h, center=mp.Vector3( cx, cy, 0.5 * sz - dpml - dair - dmcl - 0.5 * cone_h))) if args.substrate: geometry.append( mp.Block(material=SiO2, size=mp.Vector3(mp.inf, trench_w, trench_h), center=mp.Vector3( 0, -0.5 * sxy + 0.5 * trench_w, 0.5 * sz - dpml - dair - dmcl - 0.5 * trench_h))) geometry.append( mp.Block(material=SiO2, size=mp.Vector3(mp.inf, trench_w, trench_h), center=mp.Vector3( 0, +0.5 * sxy - 0.5 * trench_w, 0.5 * sz - dpml - dair - dmcl - 0.5 * trench_h))) geometry.append( mp.Block(material=SiO2, size=mp.Vector3(trench_w, mp.inf, trench_h), center=mp.Vector3( -0.5 * sxy + 0.5 * trench_w, 0, 0.5 * sz - dpml - dair - dmcl - 0.5 * trench_h))) geometry.append( mp.Block(material=SiO2, size=mp.Vector3(trench_w, mp.inf, trench_h), center=mp.Vector3( +0.5 * sxy - 0.5 * trench_w, 0, 0.5 * sz - dpml - dair - dmcl - 0.5 * trench_h))) k_point = mp.Vector3(0, 0, 0) lambda_min = 0.7 # minimum source wavelength lambda_max = 1.0 # maximum source wavelength fmin = 1 / lambda_max fmax = 1 / lambda_min fcen = 0.5 * (fmin + fmax) df = fmax - fmin sources = [ mp.Source(mp.GaussianSource(fcen, fwidth=df), component=mp.Ex, center=mp.Vector3(0, 0, 0.5 * sz - dpml - 0.5 * dair), size=mp.Vector3(sxy, sxy, 0)) ] sim = mp.Simulation(resolution=resolution, cell_size=cell_size, boundary_layers=boundary_layers, geometry=geometry, dimensions=3, k_point=k_point, sources=sources) nfreq = 50 refl = sim.add_flux( fcen, df, nfreq, mp.FluxRegion(center=mp.Vector3(0, 0, 0.5 * sz - dpml), size=mp.Vector3(sxy, sxy, 0))) trans_grid = sim.add_flux( fcen, df, nfreq, mp.FluxRegion(center=mp.Vector3(0, 0, -0.5 * sz + dpml + dsub + wire_h), size=mp.Vector3(sxy, sxy, 0))) trans_sub_top = sim.add_flux( fcen, df, nfreq, mp.FluxRegion(center=mp.Vector3(0, 0, -0.5 * sz + dpml + dsub), size=mp.Vector3(sxy, sxy, 0))) trans_sub_bot = sim.add_flux( fcen, df, nfreq, mp.FluxRegion(center=mp.Vector3(0, 0, -0.5 * sz + dpml), size=mp.Vector3(sxy, sxy, 0))) sim.run(mp.at_beginning(mp.output_epsilon), until=0) if args.substrate: sim.load_minus_flux('refl-flux', refl) sim.run(until_after_sources=mp.stop_when_fields_decayed( 50, mp.Ex, mp.Vector3(0, 0, -0.5 * sz + dpml + 0.5 * dsub), 1e-9)) if not args.substrate: sim.save_flux('refl-flux', refl) sim.display_fluxes(refl, trans_grid, trans_sub_top, trans_sub_bot)