#!/usr/bin/env python
# coding: utf-8
# In[ ]:
from solcore import si
from solcore import material
from solcore.solar_cell import SolarCell, Layer, Junction
from solcore.solar_cell_solver import solar_cell_solver, default_options
import numpy as np
from scipy.interpolate import interp1d
import matplotlib.pyplot as plt
# In[ ]:
T = 300
wavelengths_optics = np.linspace(300, 1200, 800)*1e-9
# Define some materials and layer widths:
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Si = material("Si")
SiO2 = material("SiO2")()
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n_material = Si(T=T, Nd=si(1e21, "cm-3"), hole_diffusion_length=si("50um"),
electron_mobility=50e-4, relative_permittivity = 11.68)
p_material = Si(T=T, Na=si(1e16, "cm-3"), electron_diffusion_length=si("150um"),
hole_mobility=400e-4, relative_permittivity = 11.68)
# In[ ]:
ARC_width = si("100nm")
n_material_width = si("500nm")
p_material_width = si("50um")
# We are first going to get some optics data which we can then use to illustrate how to provide
# the relevant quantities to the external optics solver. Obviously, this is a bit circular, since we
# are first going to use Solcore to calculate reflection and absorption and then feed that information
# back into solar_cell_solver in a different format, but this way we can show how the data should be
# provided when using external optics and that everything is working consistently.
# In[ ]:
solar_cell = SolarCell(
[
Layer(width=ARC_width, material=SiO2),
Junction([Layer(width=n_material_width, material=n_material, role='emitter'),
Layer(width=p_material_width, material=p_material, role='base'),
], sn=1, sp=1, kind='DA'),
])
# In[ ]:
total_width = ARC_width + n_material_width + p_material_width
# options: we are going to use TMM to calculate the optics of a silicon cell with a 100 nm SiO2 anti-reflection coating
# This will not be very realistic
# compared to a standard Si cell, which will usually have some textured surface (usually pyramids) and not just a planar
# surface with an anti-reflection coating, but it gives some physically reasonable data to use.
# In[ ]:
options = default_options
options.optics_method = "TMM"
options.wavelength = wavelengths_optics
# options.position = np.linspace(0, total_width, 100000)
options.light_iv = True
V = np.linspace(0, 1.2, 200)
# In[ ]:
solar_cell_solver(solar_cell, 'iv', options)
# Now we are going to get the relevant data to see how we might construct
# appropriate functions to provide external optics data to Solcore. If you are
# using experimental data, this could be loaded from a file, here we will take it
# from the TMM calculations done above. We get the fraction of light reflected,
# and the fraction of light absorbed in the Si layer.
# In[ ]:
reflected = solar_cell.reflected
absorbed_in_Si = solar_cell[1].layer_absorption
# We need to provide two attributes when defining the cell to give all the required
# information for external optics: external_reflected and external_absorbed. external_reflected<
# is a list of the fraction of incident light reflected at each wavelength that is specified in the user options.
# external_absorbed is a function which takes as input an array of positions (depths)
# in the cell in m and returns the differential absorption at each wavelength and depth; this is
# a 2D numpy array where the first dimension is over the wavelengths and the second dimension
# is over the positions in the cell.
# We could take the diff_absorption method from solar_cell, which was constructed during the TMM
# calculation done above, but in order to show how the absorption profile can be calculated from
# total absorption in a layer (assuming Beer-Lambert law absorption, i.e. no interference in the layer)
# we will define a function which calculates the differential absorption from just the total absorption
# and the absorption coefficient of the junction material.
# To illustrate how you can use data from e.g. an experiment to perform calculations at different wavelength,
# we're going to take the data we calculated above but use slightly different wavelength points.
# Interpolate reflection and total absorption in Si to the new wavelengths:
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interp_ref = interp1d(options.wavelength, reflected)
interp_totalA = interp1d(options.wavelength, solar_cell[1].layer_absorption)
# In[ ]:
wavelengths_external = np.linspace(301, 1199, 800)*1e-9
# In[ ]:
alpha = n_material.alpha(wavelengths_external)
A_layer = interp_totalA(wavelengths_external)
# Make function which returns the absorption profile. The functional form can be found by differentiating the
# Beer-Lambert law, and making sure it is normalized correctly to give the expected total absorption
# In[ ]:
junction_width = n_material_width + p_material_width
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def make_absorb_fn(alpha, A_layer, junction_width):
norm = A_layer * alpha / (1 - np.exp(-alpha * junction_width))
def profile(z):
xy = norm[None, :] * np.exp(-alpha * z[:, None])
return xy.T
return profile
# In[ ]:
diff_absorb_fn = make_absorb_fn(alpha, A_layer, junction_width)
# We now define a solar cell for the external optics calculation. It's the same as solar_cell,
# but without the ARC layer; this does not do anything in the electrical calculation, and we must
# omit it so that the diff_absorb_fn defined above works correctly. This function should describe the
# differential absorption profile in the WHOLE cell, including any surface layers,
# but to avoid complexity in make_absorb_fn it just calculates
# Beer-Lambert absorption in the Si and ignores the ARC. So for the absorption profile to match the actual
# cell, we need the front surface to be the Si emitter.
# In[ ]:
solar_cell_external = SolarCell(
[
Junction([Layer(width=n_material_width, material=n_material, role='emitter'),
Layer(width=p_material_width, material=p_material, role='base'),
], sn=1, sp=1, kind='DA'),
], external_reflected=interp_ref(wavelengths_external), external_absorbed=diff_absorb_fn)
# In[ ]:
options.optics_method = "external"
options.wavelength = wavelengths_external
# In[ ]:
solar_cell_solver(solar_cell_external, 'iv', options)
# Check that the total absorption and reflection are the same. The total reflection will be the same
# as it is directly supplied by the user, but the total reflection is calculated by integrating the
# differential absorption, so this is a good check:
# In[ ]:
plt.figure()
plt.plot(wavelengths_external*1e9, solar_cell_external.reflected, label='Reflected - external')
plt.plot(wavelengths_external*1e9, solar_cell_external.absorbed, label='Absorbed - external')
plt.plot(wavelengths_optics*1e9, reflected, 'k--', label='Reflected - TMM')
plt.plot(wavelengths_optics*1e9, absorbed_in_Si, '--', label='Absorbed - TMM')
plt.legend()
plt.xlabel('Wavelength (nm)')
plt.ylabel('R/A')
plt.show()
# Compare the light-IV curves:
# In[ ]:
plt.figure(1)
plt.plot(V, -solar_cell[1].iv(V), 'b', label='TMM calculation')
plt.plot(V, -solar_cell_external[0].iv(V), 'k--', label='External optics')
plt.legend()
plt.ylim(-20, 350)
plt.xlim(0, 1)
plt.ylabel('Current (A/m$^2$)')
plt.xlabel('Voltage (V)') #The expected values of Isc and Voc are 372 A/m^2 and 0.63 V respectively
# In[ ]:
plt.show()
# Finally, compare the absorption profiles (diff_absorption). These will not be exactly identical,
# because the profile for the TMM cell also contains the absorption profile in the ARC (= 0 everywhere),
# so is shifted over by 100 nm.
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position_plot = np.linspace(0, 200, 100)*1e-9
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absorption_profile_TMM = solar_cell[0].diff_absorption(position_plot)
absorption_profile_constructed = solar_cell_external[0].diff_absorption(position_plot)
# In[ ]:
plt.figure(figsize=(10, 4))
plt.subplot(121)
plt.imshow(absorption_profile_TMM, aspect='auto', extent=[0, 400, 1200, 300])
plt.colorbar()
plt.xlabel('Depth (nm)')
plt.ylabel('Wavelength (nm)')
plt.title(r'Differential absorption (m$^{-1}$) in front surface of cell')
# In[ ]:
plt.subplot(122)
plt.imshow(absorption_profile_constructed, aspect='auto', extent=[0, 400, 1200, 300])
plt.xlabel('Depth (nm)')
plt.ylabel('Wavelength (nm)')
# In[ ]:
plt.show()