Note
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Mueller matrix
Mueller matrix fit to a SiO2 on Si measurement.
import elli
from elli.fitting import ParamsHist, fit_mueller_matrix
Read data
We load the data from an ascii file containing each of the mueller matrix elements. The wavelength range is cut to be in between 210 nm and 820 nm, to stay in the range of the provided literature values for Si. The data is expected to be in a pandas dataframe containing the columns Mxy, where x and y refer to the matrix element inside the mueller matrix. The data is scaled by the M11 element, such that \(M_{11} = 1\) for all wavelengths. To show the structure we print the MM dataframe. If you load your data from another source make sure it adheres to this form.
M11 M12 M13 M14 ... M41 M42 M43 M44
Wavelength ...
210.30366 1.0 -0.09147 -0.01241 -0.00614 ... 0.00986 0.00048 -0.95574 0.25821
210.76102 1.0 -0.10879 -0.01151 -0.00901 ... 0.00917 0.01319 -0.96899 0.24432
211.21834 1.0 -0.10639 -0.00694 -0.00475 ... 0.00712 0.00891 -0.96191 0.24986
211.67561 1.0 -0.11544 -0.02094 -0.00348 ... 0.01877 0.01726 -0.95951 0.25408
212.13284 1.0 -0.12199 0.02182 0.00480 ... -0.01790 -0.01957 -0.95493 0.28308
... ... ... ... ... ... ... ... ... ...
818.08934 1.0 -0.44285 -0.00048 -0.00288 ... 0.00292 -0.00276 -0.87949 0.15713
818.50589 1.0 -0.44301 0.00376 0.00118 ... -0.00159 -0.01090 -0.87876 0.16422
818.92240 1.0 -0.44245 0.00887 0.00626 ... -0.00585 -0.01388 -0.87960 0.16743
819.33886 1.0 -0.44406 -0.00646 -0.00610 ... 0.00882 0.00424 -0.87907 0.15105
819.75528 1.0 -0.44381 0.01170 0.00550 ... -0.00692 -0.01260 -0.87849 0.16637
[1396 rows x 16 columns]
Setting start parameters
Here we set the start parameters for the SiO2 cauchy dispersion and thickness of the layer.
params = ParamsHist()
params.add("SiO2_n0", value=1.452, min=-100, max=100, vary=True)
params.add("SiO2_n1", value=36.0, min=-40000, max=40000, vary=True)
params.add("SiO2_n2", value=0, min=-40000, max=40000, vary=True)
params.add("SiO2_k0", value=0, min=-100, max=100, vary=True)
params.add("SiO2_k1", value=0, min=-40000, max=40000, vary=True)
params.add("SiO2_k2", value=0, min=-40000, max=40000, vary=True)
params.add("SiO2_d", value=120, min=0, max=40000, vary=True)
Load silicon dispersion from the refractiveindexinfo database
You can load any material from the index
refractiveindex.info, which is
embedded into the software (so you may use it offline, too). Here, we
are interested in the literature values for the silicon substrate.
First we need to load the database with rii_db = elli.db.RII() and
then we can query it with rii_db.get_mat("Si", "Aspnes") to load
this
entry.
rii_db = elli.db.RII()
Si = rii_db.get_mat("Si", "Aspnes")
Building the model
Here the model is build and the experimental structure is returned. For details on this process please refer to the Basic usage example. When executed in an jupyter notebook this displays an interactive graph with which you can select the start parameters before fitting the data.
@fit_mueller_matrix(MM, params, display_single=False, sharex=True, full_scale=False)
def model(lbda, params):
SiO2 = elli.Cauchy(
params["SiO2_n0"],
params["SiO2_n1"],
params["SiO2_n2"],
params["SiO2_k0"],
params["SiO2_k1"],
params["SiO2_k2"],
).get_mat()
Layer = [elli.Layer(SiO2, params["SiO2_d"])]
return elli.Structure(elli.AIR, Layer, Si).evaluate(
lbda, 70, solver=elli.Solver4x4, propagator=elli.PropagatorExpm()
)
Plot & Fit the model
Here we plot the model at the initial parameter set vs. the experimental data.
model.plot()
FigureWidget({
'data': [{'line': {'color': '#636EFA', 'dash': 'solid'},
'name': 'M11 ',
'type': 'scatter',
'uid': 'da351ee6-02cc-4e95-b375-0dbfd49dd555',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x',
'y': array([1., 1., 1., ..., 1., 1., 1.]),
'yaxis': 'y'},
{'line': {'color': '#636EFA', 'dash': 'dash'},
'name': 'M11 theory',
'type': 'scatter',
'uid': '7e37bb22-f3fb-4fad-a3a4-45e535873cb0',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x',
'y': array([1., 1., 1., ..., 1., 1., 1.]),
'yaxis': 'y'},
{'line': {'color': '#EF553B', 'dash': 'solid'},
'name': 'M12 ',
'type': 'scatter',
'uid': '2d33cc70-7584-4a45-8d51-7b8b95ec4347',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x2',
'y': array([-0.09147, -0.10879, -0.10639, ..., -0.44245, -0.44406, -0.44381]),
'yaxis': 'y2'},
{'line': {'color': '#EF553B', 'dash': 'dash'},
'name': 'M12 theory',
'type': 'scatter',
'uid': '099ae074-2f16-4fc4-bd9b-356fb4d2c24d',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x2',
'y': array([ 0.48855385, 0.48240998, 0.47406745, ..., -0.27742534, -0.27818747,
-0.27894785]),
'yaxis': 'y2'},
{'line': {'color': '#00CC96', 'dash': 'solid'},
'name': 'M13 ',
'type': 'scatter',
'uid': 'f9d1e033-10d4-45ac-94b6-9f8a4d291f38',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x3',
'y': array([-0.01241, -0.01151, -0.00694, ..., 0.00887, -0.00646, 0.0117 ]),
'yaxis': 'y3'},
{'line': {'color': '#00CC96', 'dash': 'dash'},
'name': 'M13 theory',
'type': 'scatter',
'uid': '5c5b3903-af10-42d4-8507-045eec23b814',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x3',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y3'},
{'line': {'color': '#AB63FA', 'dash': 'solid'},
'name': 'M14 ',
'type': 'scatter',
'uid': '4b0a3077-bde2-45ac-ab22-470837137a6d',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x4',
'y': array([-0.00614, -0.00901, -0.00475, ..., 0.00626, -0.0061 , 0.0055 ]),
'yaxis': 'y4'},
{'line': {'color': '#AB63FA', 'dash': 'dash'},
'name': 'M14 theory',
'type': 'scatter',
'uid': 'da06d922-4cfd-4f15-8a65-4ef3e56001e6',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x4',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y4'},
{'line': {'color': '#FFA15A', 'dash': 'solid'},
'name': 'M21 ',
'type': 'scatter',
'uid': 'c73308f1-6d64-4e0f-a73f-8f0129811b00',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x5',
'y': array([-0.09605, -0.09754, -0.10761, ..., -0.44024, -0.44126, -0.44135]),
'yaxis': 'y5'},
{'line': {'color': '#FFA15A', 'dash': 'dash'},
'name': 'M21 theory',
'type': 'scatter',
'uid': '9dec250a-88bd-4876-a72a-9f1afeace1db',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x5',
'y': array([ 0.48855385, 0.48240998, 0.47406745, ..., -0.27742534, -0.27818747,
-0.27894785]),
'yaxis': 'y5'},
{'line': {'color': '#19D3F3', 'dash': 'solid'},
'name': 'M22 ',
'type': 'scatter',
'uid': '97fc873d-d8f1-45bc-a691-8ea40279b6de',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x6',
'y': array([0.99426, 0.99475, 0.99637, ..., 0.99723, 0.99661, 0.99606]),
'yaxis': 'y6'},
{'line': {'color': '#19D3F3', 'dash': 'dash'},
'name': 'M22 theory',
'type': 'scatter',
'uid': '260dbdfe-55bd-478d-8bee-a3599001a009',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x6',
'y': array([1., 1., 1., ..., 1., 1., 1.]),
'yaxis': 'y6'},
{'line': {'color': '#FF6692', 'dash': 'solid'},
'name': 'M23 ',
'type': 'scatter',
'uid': '7baea0c5-9cdb-490e-8937-59cb23ba9a14',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x7',
'y': array([-0.00364, -0.00427, -0.00207, ..., -0.00457, 0.00234, -0.00653]),
'yaxis': 'y7'},
{'line': {'color': '#FF6692', 'dash': 'dash'},
'name': 'M23 theory',
'type': 'scatter',
'uid': '229a8c1d-dcf8-440e-8c0d-fd3926fef217',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x7',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y7'},
{'line': {'color': '#B6E880', 'dash': 'solid'},
'name': 'M24 ',
'type': 'scatter',
'uid': '083f9da7-7ad0-45e6-9fc2-a619b925fd8d',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x8',
'y': array([ 0.01084, -0.00325, 0.01123, ..., -0.00263, 0.00227, -0.00311]),
'yaxis': 'y8'},
{'line': {'color': '#B6E880', 'dash': 'dash'},
'name': 'M24 theory',
'type': 'scatter',
'uid': '928cfead-0ec9-49f2-b9a1-1439e8798546',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x8',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y8'},
{'line': {'color': '#FF97FF', 'dash': 'solid'},
'name': 'M31 ',
'type': 'scatter',
'uid': '5d96c41e-4e61-4b31-8419-cc44da2db45c',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x9',
'y': array([-0.00278, -0.00634, -0.00219, ..., 0.00055, -0.00105, 0.00037]),
'yaxis': 'y9'},
{'line': {'color': '#FF97FF', 'dash': 'dash'},
'name': 'M31 theory',
'type': 'scatter',
'uid': '1d05cb53-cbf0-434f-8ed4-9642a32580e2',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x9',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y9'},
{'line': {'color': '#FECB52', 'dash': 'solid'},
'name': 'M32 ',
'type': 'scatter',
'uid': '7d95ba81-f514-453c-b288-ac25e05ac44b',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x10',
'y': array([-0.00212, -0.00045, 0.0003 , ..., -0.0018 , -0.00042, 0.00037]),
'yaxis': 'y10'},
{'line': {'color': '#FECB52', 'dash': 'dash'},
'name': 'M32 theory',
'type': 'scatter',
'uid': 'a318838e-1534-4bb1-8a4d-ba5666099e08',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x10',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y10'},
{'line': {'color': '#636EFA', 'dash': 'solid'},
'name': 'M33 ',
'type': 'scatter',
'uid': '4364ed50-7b45-4dad-9b16-46865db0d087',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x11',
'y': array([0.27283, 0.26726, 0.2728 , ..., 0.16236, 0.16271, 0.16255]),
'yaxis': 'y11'},
{'line': {'color': '#636EFA', 'dash': 'dash'},
'name': 'M33 theory',
'type': 'scatter',
'uid': '58eeae05-1a9d-44de-a3bc-bd4674102373',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x11',
'y': array([-0.78177026, -0.75168899, -0.71871123, ..., 0.20163327, 0.20156999,
0.20150625]),
'yaxis': 'y11'},
{'line': {'color': '#EF553B', 'dash': 'solid'},
'name': 'M34 ',
'type': 'scatter',
'uid': 'edf8f052-481f-4cf2-a06e-a7237777dc6c',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x12',
'y': array([0.95555, 0.9645 , 0.95821, ..., 0.87712, 0.87629, 0.87661]),
'yaxis': 'y12'},
{'line': {'color': '#EF553B', 'dash': 'dash'},
'name': 'M34 theory',
'type': 'scatter',
'uid': 'db651097-e4b4-4b10-bb3f-e940b058366d',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x12',
'y': array([0.38749245, 0.44971578, 0.50863958, ..., 0.93935042, 0.93913858,
0.93892669]),
'yaxis': 'y12'},
{'line': {'color': '#00CC96', 'dash': 'solid'},
'name': 'M41 ',
'type': 'scatter',
'uid': '5a646d6b-9934-431a-ad02-82475c1f6c6d',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x13',
'y': array([ 0.00986, 0.00917, 0.00712, ..., -0.00585, 0.00882, -0.00692]),
'yaxis': 'y13'},
{'line': {'color': '#00CC96', 'dash': 'dash'},
'name': 'M41 theory',
'type': 'scatter',
'uid': '6acab0ad-ff38-47ea-88dc-c4a745a079d2',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x13',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y13'},
{'line': {'color': '#AB63FA', 'dash': 'solid'},
'name': 'M42 ',
'type': 'scatter',
'uid': 'b78e477c-b449-40ff-ba28-8ff37852f584',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x14',
'y': array([ 0.00048, 0.01319, 0.00891, ..., -0.01388, 0.00424, -0.0126 ]),
'yaxis': 'y14'},
{'line': {'color': '#AB63FA', 'dash': 'dash'},
'name': 'M42 theory',
'type': 'scatter',
'uid': 'd331b5e5-6bf1-455b-8c24-d8a1e8db14be',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x14',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y14'},
{'line': {'color': '#FFA15A', 'dash': 'solid'},
'name': 'M43 ',
'type': 'scatter',
'uid': '60f0f7fe-86f3-441b-8249-d0b11b965f11',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x15',
'y': array([-0.95574, -0.96899, -0.96191, ..., -0.8796 , -0.87907, -0.87849]),
'yaxis': 'y15'},
{'line': {'color': '#FFA15A', 'dash': 'dash'},
'name': 'M43 theory',
'type': 'scatter',
'uid': '605ecdde-050a-4d53-afc9-ced20fd27657',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x15',
'y': array([-0.38749245, -0.44971578, -0.50863958, ..., -0.93935042, -0.93913858,
-0.93892669]),
'yaxis': 'y15'},
{'line': {'color': '#19D3F3', 'dash': 'solid'},
'name': 'M44 ',
'type': 'scatter',
'uid': '6c36101f-9938-4bdd-9540-261f7ba19f0b',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x16',
'y': array([0.25821, 0.24432, 0.24986, ..., 0.16743, 0.15105, 0.16637]),
'yaxis': 'y16'},
{'line': {'color': '#19D3F3', 'dash': 'dash'},
'name': 'M44 theory',
'type': 'scatter',
'uid': '1860eb31-eba6-4afa-8690-57eb7eb4afaa',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x16',
'y': array([-0.78177026, -0.75168899, -0.71871123, ..., 0.20163327, 0.20156999,
0.20150625]),
'yaxis': 'y16'}],
'layout': {'template': '...',
'xaxis': {'anchor': 'y', 'domain': [0.0, 0.2125], 'matches': 'x'},
'xaxis10': {'anchor': 'y10', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis11': {'anchor': 'y11', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis12': {'anchor': 'y12', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis13': {'anchor': 'y13', 'domain': [0.0, 0.2125], 'matches': 'x'},
'xaxis14': {'anchor': 'y14', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis15': {'anchor': 'y15', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis16': {'anchor': 'y16', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis2': {'anchor': 'y2', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis3': {'anchor': 'y3', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis4': {'anchor': 'y4', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis5': {'anchor': 'y5', 'domain': [0.0, 0.2125], 'matches': 'x'},
'xaxis6': {'anchor': 'y6', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis7': {'anchor': 'y7', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis8': {'anchor': 'y8', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis9': {'anchor': 'y9', 'domain': [0.0, 0.2125], 'matches': 'x'},
'yaxis': {'anchor': 'x', 'domain': [0.80625, 1.0]},
'yaxis10': {'anchor': 'x10', 'domain': [0.26875, 0.4625]},
'yaxis11': {'anchor': 'x11', 'domain': [0.26875, 0.4625]},
'yaxis12': {'anchor': 'x12', 'domain': [0.26875, 0.4625]},
'yaxis13': {'anchor': 'x13', 'domain': [0.0, 0.19375]},
'yaxis14': {'anchor': 'x14', 'domain': [0.0, 0.19375]},
'yaxis15': {'anchor': 'x15', 'domain': [0.0, 0.19375]},
'yaxis16': {'anchor': 'x16', 'domain': [0.0, 0.19375]},
'yaxis2': {'anchor': 'x2', 'domain': [0.80625, 1.0]},
'yaxis3': {'anchor': 'x3', 'domain': [0.80625, 1.0]},
'yaxis4': {'anchor': 'x4', 'domain': [0.80625, 1.0]},
'yaxis5': {'anchor': 'x5', 'domain': [0.5375, 0.73125]},
'yaxis6': {'anchor': 'x6', 'domain': [0.5375, 0.73125]},
'yaxis7': {'anchor': 'x7', 'domain': [0.5375, 0.73125]},
'yaxis8': {'anchor': 'x8', 'domain': [0.5375, 0.73125]},
'yaxis9': {'anchor': 'x9', 'domain': [0.26875, 0.4625]}}
})
We can also plot the residual between measurement and model.
model.plot_residual()
FigureWidget({
'data': [{'line': {'color': '#636EFA', 'dash': 'solid'},
'name': 'M11 ',
'type': 'scatter',
'uid': '97399f1b-ac31-4198-ad97-426e0f05a324',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y'},
{'line': {'color': '#EF553B', 'dash': 'solid'},
'name': 'M12 ',
'type': 'scatter',
'uid': 'faefc0b5-58db-449e-97d0-a784f7a83b17',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x2',
'y': array([0.58002385, 0.59119998, 0.58045745, ..., 0.16502466, 0.16587253,
0.16486215]),
'yaxis': 'y2'},
{'line': {'color': '#00CC96', 'dash': 'solid'},
'name': 'M13 ',
'type': 'scatter',
'uid': '0ff20cb0-f180-4a7d-b2b4-12c4ce23ce9a',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x3',
'y': array([ 0.01241, 0.01151, 0.00694, ..., -0.00887, 0.00646, -0.0117 ]),
'yaxis': 'y3'},
{'line': {'color': '#AB63FA', 'dash': 'solid'},
'name': 'M14 ',
'type': 'scatter',
'uid': '386b41fd-60ed-4a23-a625-ae18166db62f',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x4',
'y': array([ 0.00614, 0.00901, 0.00475, ..., -0.00626, 0.0061 , -0.0055 ]),
'yaxis': 'y4'},
{'line': {'color': '#FFA15A', 'dash': 'solid'},
'name': 'M21 ',
'type': 'scatter',
'uid': '5baf5494-b454-46f0-ac82-7d7a679e98c4',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x5',
'y': array([0.58460385, 0.57994998, 0.58167745, ..., 0.16281466, 0.16307253,
0.16240215]),
'yaxis': 'y5'},
{'line': {'color': '#19D3F3', 'dash': 'solid'},
'name': 'M22 ',
'type': 'scatter',
'uid': '5b1fe75b-f9d8-4c52-8ea4-e4f9c30b09f9',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x6',
'y': array([0.00574, 0.00525, 0.00363, ..., 0.00277, 0.00339, 0.00394]),
'yaxis': 'y6'},
{'line': {'color': '#FF6692', 'dash': 'solid'},
'name': 'M23 ',
'type': 'scatter',
'uid': '55dfc261-db39-4940-b23c-89d4845fd35b',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x7',
'y': array([ 0.00364, 0.00427, 0.00207, ..., 0.00457, -0.00234, 0.00653]),
'yaxis': 'y7'},
{'line': {'color': '#B6E880', 'dash': 'solid'},
'name': 'M24 ',
'type': 'scatter',
'uid': '43bebaa3-6341-4db3-a06b-6f4b04297e9f',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x8',
'y': array([-0.01084, 0.00325, -0.01123, ..., 0.00263, -0.00227, 0.00311]),
'yaxis': 'y8'},
{'line': {'color': '#FF97FF', 'dash': 'solid'},
'name': 'M31 ',
'type': 'scatter',
'uid': 'ddc9bb5f-88f7-4e9f-aef4-efd0370c0e23',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x9',
'y': array([ 0.00278, 0.00634, 0.00219, ..., -0.00055, 0.00105, -0.00037]),
'yaxis': 'y9'},
{'line': {'color': '#FECB52', 'dash': 'solid'},
'name': 'M32 ',
'type': 'scatter',
'uid': 'f99f2492-f8a8-4f02-ad29-2543eda966c8',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x10',
'y': array([ 0.00212, 0.00045, -0.0003 , ..., 0.0018 , 0.00042, -0.00037]),
'yaxis': 'y10'},
{'line': {'color': '#636EFA', 'dash': 'solid'},
'name': 'M33 ',
'type': 'scatter',
'uid': '33550cc7-0113-42d9-b316-ed9ded0c4626',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x11',
'y': array([-1.05460026, -1.01894899, -0.99151123, ..., 0.03927327, 0.03885999,
0.03895625]),
'yaxis': 'y11'},
{'line': {'color': '#EF553B', 'dash': 'solid'},
'name': 'M34 ',
'type': 'scatter',
'uid': 'f01f97b0-23e9-40cd-8ce7-b1a6c97560e1',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x12',
'y': array([-0.56805755, -0.51478422, -0.44957042, ..., 0.06223042, 0.06284858,
0.06231669]),
'yaxis': 'y12'},
{'line': {'color': '#00CC96', 'dash': 'solid'},
'name': 'M41 ',
'type': 'scatter',
'uid': 'ee290721-b370-4d2a-8b83-db23a06814ed',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x13',
'y': array([-0.00986, -0.00917, -0.00712, ..., 0.00585, -0.00882, 0.00692]),
'yaxis': 'y13'},
{'line': {'color': '#AB63FA', 'dash': 'solid'},
'name': 'M42 ',
'type': 'scatter',
'uid': '774a0b6c-daa1-499f-99a5-6d0fd5470596',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x14',
'y': array([-0.00048, -0.01319, -0.00891, ..., 0.01388, -0.00424, 0.0126 ]),
'yaxis': 'y14'},
{'line': {'color': '#FFA15A', 'dash': 'solid'},
'name': 'M43 ',
'type': 'scatter',
'uid': 'ae35d108-ddad-40c4-bea8-b06f3953288a',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x15',
'y': array([ 0.56824755, 0.51927422, 0.45327042, ..., -0.05975042, -0.06006858,
-0.06043669]),
'yaxis': 'y15'},
{'line': {'color': '#19D3F3', 'dash': 'solid'},
'name': 'M44 ',
'type': 'scatter',
'uid': '152d17f7-2c38-40d9-916f-25a391214199',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x16',
'y': array([-1.03998026, -0.99600899, -0.96857123, ..., 0.03420327, 0.05051999,
0.03513625]),
'yaxis': 'y16'}],
'layout': {'template': '...',
'xaxis': {'anchor': 'y', 'domain': [0.0, 0.2125], 'matches': 'x'},
'xaxis10': {'anchor': 'y10', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis11': {'anchor': 'y11', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis12': {'anchor': 'y12', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis13': {'anchor': 'y13', 'domain': [0.0, 0.2125], 'matches': 'x'},
'xaxis14': {'anchor': 'y14', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis15': {'anchor': 'y15', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis16': {'anchor': 'y16', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis2': {'anchor': 'y2', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis3': {'anchor': 'y3', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis4': {'anchor': 'y4', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis5': {'anchor': 'y5', 'domain': [0.0, 0.2125], 'matches': 'x'},
'xaxis6': {'anchor': 'y6', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis7': {'anchor': 'y7', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis8': {'anchor': 'y8', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis9': {'anchor': 'y9', 'domain': [0.0, 0.2125], 'matches': 'x'},
'yaxis': {'anchor': 'x', 'domain': [0.80625, 1.0]},
'yaxis10': {'anchor': 'x10', 'domain': [0.26875, 0.4625]},
'yaxis11': {'anchor': 'x11', 'domain': [0.26875, 0.4625]},
'yaxis12': {'anchor': 'x12', 'domain': [0.26875, 0.4625]},
'yaxis13': {'anchor': 'x13', 'domain': [0.0, 0.19375]},
'yaxis14': {'anchor': 'x14', 'domain': [0.0, 0.19375]},
'yaxis15': {'anchor': 'x15', 'domain': [0.0, 0.19375]},
'yaxis16': {'anchor': 'x16', 'domain': [0.0, 0.19375]},
'yaxis2': {'anchor': 'x2', 'domain': [0.80625, 1.0]},
'yaxis3': {'anchor': 'x3', 'domain': [0.80625, 1.0]},
'yaxis4': {'anchor': 'x4', 'domain': [0.80625, 1.0]},
'yaxis5': {'anchor': 'x5', 'domain': [0.5375, 0.73125]},
'yaxis6': {'anchor': 'x6', 'domain': [0.5375, 0.73125]},
'yaxis7': {'anchor': 'x7', 'domain': [0.5375, 0.73125]},
'yaxis8': {'anchor': 'x8', 'domain': [0.5375, 0.73125]},
'yaxis9': {'anchor': 'x9', 'domain': [0.26875, 0.4625]}}
})
Now we execute a fit and plot the model afterwards.
fit_stats = model.fit()
model.plot(full_scale=False)
FigureWidget({
'data': [{'line': {'color': '#636EFA', 'dash': 'solid'},
'name': 'M11 ',
'type': 'scatter',
'uid': '489d187e-8e7c-4748-9da6-9d53715b4910',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x',
'y': array([1., 1., 1., ..., 1., 1., 1.]),
'yaxis': 'y'},
{'line': {'color': '#636EFA', 'dash': 'dash'},
'name': 'M11 theory',
'type': 'scatter',
'uid': '55c7ab6e-5f5b-4fd9-b059-9e33f9959ae1',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x',
'y': array([1., 1., 1., ..., 1., 1., 1.]),
'yaxis': 'y'},
{'line': {'color': '#EF553B', 'dash': 'solid'},
'name': 'M12 ',
'type': 'scatter',
'uid': 'a10cc261-1a1a-4828-9f4a-573e8bfdb3ef',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x2',
'y': array([-0.09147, -0.10879, -0.10639, ..., -0.44245, -0.44406, -0.44381]),
'yaxis': 'y2'},
{'line': {'color': '#EF553B', 'dash': 'dash'},
'name': 'M12 theory',
'type': 'scatter',
'uid': '1a60ea28-4dd6-4138-9f46-cb1a430eea6f',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x2',
'y': array([-0.09081776, -0.09659845, -0.10218436, ..., -0.44726608, -0.44776779,
-0.44826863]),
'yaxis': 'y2'},
{'line': {'color': '#00CC96', 'dash': 'solid'},
'name': 'M13 ',
'type': 'scatter',
'uid': '5663c335-b3e3-4738-8ffd-8e1f7a4ddcff',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x3',
'y': array([-0.01241, -0.01151, -0.00694, ..., 0.00887, -0.00646, 0.0117 ]),
'yaxis': 'y3'},
{'line': {'color': '#00CC96', 'dash': 'dash'},
'name': 'M13 theory',
'type': 'scatter',
'uid': '66569337-043d-4c4e-aade-b941516610c3',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x3',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y3'},
{'line': {'color': '#AB63FA', 'dash': 'solid'},
'name': 'M14 ',
'type': 'scatter',
'uid': '4e0c8839-d2d4-468d-84a6-bd88418dd9ef',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x4',
'y': array([-0.00614, -0.00901, -0.00475, ..., 0.00626, -0.0061 , 0.0055 ]),
'yaxis': 'y4'},
{'line': {'color': '#AB63FA', 'dash': 'dash'},
'name': 'M14 theory',
'type': 'scatter',
'uid': 'b2809457-2601-4480-8bce-fdafe88efa1b',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x4',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y4'},
{'line': {'color': '#FFA15A', 'dash': 'solid'},
'name': 'M21 ',
'type': 'scatter',
'uid': '6cb83010-9fe8-4b0c-bbc1-1990925c60d4',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x5',
'y': array([-0.09605, -0.09754, -0.10761, ..., -0.44024, -0.44126, -0.44135]),
'yaxis': 'y5'},
{'line': {'color': '#FFA15A', 'dash': 'dash'},
'name': 'M21 theory',
'type': 'scatter',
'uid': 'f6cf916e-d60e-4a44-9947-32f1168acd7e',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x5',
'y': array([-0.09081776, -0.09659845, -0.10218436, ..., -0.44726608, -0.44776779,
-0.44826863]),
'yaxis': 'y5'},
{'line': {'color': '#19D3F3', 'dash': 'solid'},
'name': 'M22 ',
'type': 'scatter',
'uid': '0859bc05-1460-4130-a94d-a0baab3d25d1',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x6',
'y': array([0.99426, 0.99475, 0.99637, ..., 0.99723, 0.99661, 0.99606]),
'yaxis': 'y6'},
{'line': {'color': '#19D3F3', 'dash': 'dash'},
'name': 'M22 theory',
'type': 'scatter',
'uid': 'c9270aba-1009-472b-8d22-3cc7d34d4cbe',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x6',
'y': array([1., 1., 1., ..., 1., 1., 1.]),
'yaxis': 'y6'},
{'line': {'color': '#FF6692', 'dash': 'solid'},
'name': 'M23 ',
'type': 'scatter',
'uid': '2c200736-0866-4536-a7ab-0fa85a15025c',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x7',
'y': array([-0.00364, -0.00427, -0.00207, ..., -0.00457, 0.00234, -0.00653]),
'yaxis': 'y7'},
{'line': {'color': '#FF6692', 'dash': 'dash'},
'name': 'M23 theory',
'type': 'scatter',
'uid': 'b6efa27a-35a9-4ce3-83df-dea565b7eca5',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x7',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y7'},
{'line': {'color': '#B6E880', 'dash': 'solid'},
'name': 'M24 ',
'type': 'scatter',
'uid': 'c1668530-fab6-43c8-80ba-d7b1dbcdb32f',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x8',
'y': array([ 0.01084, -0.00325, 0.01123, ..., -0.00263, 0.00227, -0.00311]),
'yaxis': 'y8'},
{'line': {'color': '#B6E880', 'dash': 'dash'},
'name': 'M24 theory',
'type': 'scatter',
'uid': 'd0fc21e7-f7e7-4979-8417-f116da794a69',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x8',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y8'},
{'line': {'color': '#FF97FF', 'dash': 'solid'},
'name': 'M31 ',
'type': 'scatter',
'uid': '1093c047-4d7c-4ff3-9217-040aa707faaa',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x9',
'y': array([-0.00278, -0.00634, -0.00219, ..., 0.00055, -0.00105, 0.00037]),
'yaxis': 'y9'},
{'line': {'color': '#FF97FF', 'dash': 'dash'},
'name': 'M31 theory',
'type': 'scatter',
'uid': '1a24061c-1f51-409d-8ab9-aea70efc5c30',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x9',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y9'},
{'line': {'color': '#FECB52', 'dash': 'solid'},
'name': 'M32 ',
'type': 'scatter',
'uid': '1e049c26-6f6e-4393-b42f-17646c4b5bbe',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x10',
'y': array([-0.00212, -0.00045, 0.0003 , ..., -0.0018 , -0.00042, 0.00037]),
'yaxis': 'y10'},
{'line': {'color': '#FECB52', 'dash': 'dash'},
'name': 'M32 theory',
'type': 'scatter',
'uid': '2e833709-f374-48ab-b5f2-b2cd0df9dcfa',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x10',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y10'},
{'line': {'color': '#636EFA', 'dash': 'solid'},
'name': 'M33 ',
'type': 'scatter',
'uid': '736cdf4c-672f-4cf5-b8bc-8ce687e595ed',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x11',
'y': array([0.27283, 0.26726, 0.2728 , ..., 0.16236, 0.16271, 0.16255]),
'yaxis': 'y11'},
{'line': {'color': '#636EFA', 'dash': 'dash'},
'name': 'M33 theory',
'type': 'scatter',
'uid': '877a9e4a-6cf0-4bd9-9adf-2c6930fb95b1',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x11',
'y': array([0.28633493, 0.28495866, 0.28318747, ..., 0.15873433, 0.1585769 ,
0.15841941]),
'yaxis': 'y11'},
{'line': {'color': '#EF553B', 'dash': 'solid'},
'name': 'M34 ',
'type': 'scatter',
'uid': 'efe40213-583f-4a10-bf06-658c9faeb922',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x12',
'y': array([0.95555, 0.9645 , 0.95821, ..., 0.87712, 0.87629, 0.87661]),
'yaxis': 'y12'},
{'line': {'color': '#EF553B', 'dash': 'dash'},
'name': 'M34 theory',
'type': 'scatter',
'uid': '94a35c6e-dae6-4789-9769-c3bb44cbc214',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x12',
'y': array([0.95381573, 0.95365995, 0.95360538, ..., 0.88020251, 0.87997578,
0.87974912]),
'yaxis': 'y12'},
{'line': {'color': '#00CC96', 'dash': 'solid'},
'name': 'M41 ',
'type': 'scatter',
'uid': '1006ff67-411a-4c50-916f-a7378b4f3682',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x13',
'y': array([ 0.00986, 0.00917, 0.00712, ..., -0.00585, 0.00882, -0.00692]),
'yaxis': 'y13'},
{'line': {'color': '#00CC96', 'dash': 'dash'},
'name': 'M41 theory',
'type': 'scatter',
'uid': '8522b702-3205-486d-b09a-dfc97601908f',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x13',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y13'},
{'line': {'color': '#AB63FA', 'dash': 'solid'},
'name': 'M42 ',
'type': 'scatter',
'uid': 'afa1eb37-11f6-47cf-9afd-fe0cb0aabaae',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x14',
'y': array([ 0.00048, 0.01319, 0.00891, ..., -0.01388, 0.00424, -0.0126 ]),
'yaxis': 'y14'},
{'line': {'color': '#AB63FA', 'dash': 'dash'},
'name': 'M42 theory',
'type': 'scatter',
'uid': '9073c71e-ed5b-4787-a319-5aa9fa3bd3db',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x14',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y14'},
{'line': {'color': '#FFA15A', 'dash': 'solid'},
'name': 'M43 ',
'type': 'scatter',
'uid': '216172f2-c77d-49dc-b2b8-90f8ec1bf3e0',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x15',
'y': array([-0.95574, -0.96899, -0.96191, ..., -0.8796 , -0.87907, -0.87849]),
'yaxis': 'y15'},
{'line': {'color': '#FFA15A', 'dash': 'dash'},
'name': 'M43 theory',
'type': 'scatter',
'uid': 'ab106ec4-7131-407a-8939-cb30378205b9',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x15',
'y': array([-0.95381573, -0.95365995, -0.95360538, ..., -0.88020251, -0.87997578,
-0.87974912]),
'yaxis': 'y15'},
{'line': {'color': '#19D3F3', 'dash': 'solid'},
'name': 'M44 ',
'type': 'scatter',
'uid': '8ad52cff-b4af-4ad9-bb33-e44aae88ae0f',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x16',
'y': array([0.25821, 0.24432, 0.24986, ..., 0.16743, 0.15105, 0.16637]),
'yaxis': 'y16'},
{'line': {'color': '#19D3F3', 'dash': 'dash'},
'name': 'M44 theory',
'type': 'scatter',
'uid': '03f30e7d-daee-46f7-a404-0b26f55b7eea',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x16',
'y': array([0.28633493, 0.28495866, 0.28318747, ..., 0.15873433, 0.1585769 ,
0.15841941]),
'yaxis': 'y16'}],
'layout': {'template': '...',
'xaxis': {'anchor': 'y', 'domain': [0.0, 0.2125], 'matches': 'x'},
'xaxis10': {'anchor': 'y10', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis11': {'anchor': 'y11', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis12': {'anchor': 'y12', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis13': {'anchor': 'y13', 'domain': [0.0, 0.2125], 'matches': 'x'},
'xaxis14': {'anchor': 'y14', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis15': {'anchor': 'y15', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis16': {'anchor': 'y16', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis2': {'anchor': 'y2', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis3': {'anchor': 'y3', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis4': {'anchor': 'y4', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis5': {'anchor': 'y5', 'domain': [0.0, 0.2125], 'matches': 'x'},
'xaxis6': {'anchor': 'y6', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis7': {'anchor': 'y7', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis8': {'anchor': 'y8', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis9': {'anchor': 'y9', 'domain': [0.0, 0.2125], 'matches': 'x'},
'yaxis': {'anchor': 'x', 'domain': [0.80625, 1.0]},
'yaxis10': {'anchor': 'x10', 'domain': [0.26875, 0.4625]},
'yaxis11': {'anchor': 'x11', 'domain': [0.26875, 0.4625]},
'yaxis12': {'anchor': 'x12', 'domain': [0.26875, 0.4625]},
'yaxis13': {'anchor': 'x13', 'domain': [0.0, 0.19375]},
'yaxis14': {'anchor': 'x14', 'domain': [0.0, 0.19375]},
'yaxis15': {'anchor': 'x15', 'domain': [0.0, 0.19375]},
'yaxis16': {'anchor': 'x16', 'domain': [0.0, 0.19375]},
'yaxis2': {'anchor': 'x2', 'domain': [0.80625, 1.0]},
'yaxis3': {'anchor': 'x3', 'domain': [0.80625, 1.0]},
'yaxis4': {'anchor': 'x4', 'domain': [0.80625, 1.0]},
'yaxis5': {'anchor': 'x5', 'domain': [0.5375, 0.73125]},
'yaxis6': {'anchor': 'x6', 'domain': [0.5375, 0.73125]},
'yaxis7': {'anchor': 'x7', 'domain': [0.5375, 0.73125]},
'yaxis8': {'anchor': 'x8', 'domain': [0.5375, 0.73125]},
'yaxis9': {'anchor': 'x9', 'domain': [0.26875, 0.4625]}}
})
For comparison we plot the residual again to have a figure of merit for the fit quality
model.plot_residual()
FigureWidget({
'data': [{'line': {'color': '#636EFA', 'dash': 'solid'},
'name': 'M11 ',
'type': 'scatter',
'uid': '26e71d12-e647-4dbf-85a3-e0eb8d2224c4',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x',
'y': array([0., 0., 0., ..., 0., 0., 0.]),
'yaxis': 'y'},
{'line': {'color': '#EF553B', 'dash': 'solid'},
'name': 'M12 ',
'type': 'scatter',
'uid': '785a6e00-4e75-45a0-ba94-02d196fc79d2',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x2',
'y': array([ 0.00065224, 0.01219155, 0.00420564, ..., -0.00481608, -0.00370779,
-0.00445863]),
'yaxis': 'y2'},
{'line': {'color': '#00CC96', 'dash': 'solid'},
'name': 'M13 ',
'type': 'scatter',
'uid': 'e69b798f-2a89-49f6-800c-e3c0bbf87267',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x3',
'y': array([ 0.01241, 0.01151, 0.00694, ..., -0.00887, 0.00646, -0.0117 ]),
'yaxis': 'y3'},
{'line': {'color': '#AB63FA', 'dash': 'solid'},
'name': 'M14 ',
'type': 'scatter',
'uid': '65fb2e7d-ee9c-4c71-b30c-0b5890ac83b0',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x4',
'y': array([ 0.00614, 0.00901, 0.00475, ..., -0.00626, 0.0061 , -0.0055 ]),
'yaxis': 'y4'},
{'line': {'color': '#FFA15A', 'dash': 'solid'},
'name': 'M21 ',
'type': 'scatter',
'uid': 'ca801f1c-7a2a-40bd-b79c-fc0e61c8a565',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x5',
'y': array([ 0.00523224, 0.00094155, 0.00542564, ..., -0.00702608, -0.00650779,
-0.00691863]),
'yaxis': 'y5'},
{'line': {'color': '#19D3F3', 'dash': 'solid'},
'name': 'M22 ',
'type': 'scatter',
'uid': '39bca8ab-32f8-4a01-b367-f59557c8ec37',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x6',
'y': array([0.00574, 0.00525, 0.00363, ..., 0.00277, 0.00339, 0.00394]),
'yaxis': 'y6'},
{'line': {'color': '#FF6692', 'dash': 'solid'},
'name': 'M23 ',
'type': 'scatter',
'uid': '9ab3d762-d6e6-4812-8e30-d754889998fb',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x7',
'y': array([ 0.00364, 0.00427, 0.00207, ..., 0.00457, -0.00234, 0.00653]),
'yaxis': 'y7'},
{'line': {'color': '#B6E880', 'dash': 'solid'},
'name': 'M24 ',
'type': 'scatter',
'uid': 'e8dd1b57-8cca-4183-9c30-aef1f6fd0e2b',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x8',
'y': array([-0.01084, 0.00325, -0.01123, ..., 0.00263, -0.00227, 0.00311]),
'yaxis': 'y8'},
{'line': {'color': '#FF97FF', 'dash': 'solid'},
'name': 'M31 ',
'type': 'scatter',
'uid': 'a805e6b1-ebcf-4658-ba67-3eb534b1a05c',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x9',
'y': array([ 0.00278, 0.00634, 0.00219, ..., -0.00055, 0.00105, -0.00037]),
'yaxis': 'y9'},
{'line': {'color': '#FECB52', 'dash': 'solid'},
'name': 'M32 ',
'type': 'scatter',
'uid': '159680c2-01d0-4368-ade8-c63c8135c28e',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x10',
'y': array([ 0.00212, 0.00045, -0.0003 , ..., 0.0018 , 0.00042, -0.00037]),
'yaxis': 'y10'},
{'line': {'color': '#636EFA', 'dash': 'solid'},
'name': 'M33 ',
'type': 'scatter',
'uid': 'a0385a5f-69f9-4e9d-a1d0-b3a25e83f653',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x11',
'y': array([ 0.01350493, 0.01769866, 0.01038747, ..., -0.00362567, -0.0041331 ,
-0.00413059]),
'yaxis': 'y11'},
{'line': {'color': '#EF553B', 'dash': 'solid'},
'name': 'M34 ',
'type': 'scatter',
'uid': '582a3863-84c3-4d50-addf-51bd71924937',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x12',
'y': array([-0.00173427, -0.01084005, -0.00460462, ..., 0.00308251, 0.00368578,
0.00313912]),
'yaxis': 'y12'},
{'line': {'color': '#00CC96', 'dash': 'solid'},
'name': 'M41 ',
'type': 'scatter',
'uid': '6e75956d-5efc-4a9e-8447-b5ea6e806a2d',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x13',
'y': array([-0.00986, -0.00917, -0.00712, ..., 0.00585, -0.00882, 0.00692]),
'yaxis': 'y13'},
{'line': {'color': '#AB63FA', 'dash': 'solid'},
'name': 'M42 ',
'type': 'scatter',
'uid': '968ec3bd-dead-4a62-8bdc-95f05ee5c23c',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x14',
'y': array([-0.00048, -0.01319, -0.00891, ..., 0.01388, -0.00424, 0.0126 ]),
'yaxis': 'y14'},
{'line': {'color': '#FFA15A', 'dash': 'solid'},
'name': 'M43 ',
'type': 'scatter',
'uid': '534f3231-4e6f-4ada-881f-12f2e5a48819',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x15',
'y': array([ 0.00192427, 0.01533005, 0.00830462, ..., -0.00060251, -0.00090578,
-0.00125912]),
'yaxis': 'y15'},
{'line': {'color': '#19D3F3', 'dash': 'solid'},
'name': 'M44 ',
'type': 'scatter',
'uid': 'a9aaae38-a9fb-4476-9f32-f288c10bec2f',
'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]),
'xaxis': 'x16',
'y': array([ 0.02812493, 0.04063866, 0.03332747, ..., -0.00869567, 0.0075269 ,
-0.00795059]),
'yaxis': 'y16'}],
'layout': {'template': '...',
'xaxis': {'anchor': 'y', 'domain': [0.0, 0.2125], 'matches': 'x'},
'xaxis10': {'anchor': 'y10', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis11': {'anchor': 'y11', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis12': {'anchor': 'y12', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis13': {'anchor': 'y13', 'domain': [0.0, 0.2125], 'matches': 'x'},
'xaxis14': {'anchor': 'y14', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis15': {'anchor': 'y15', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis16': {'anchor': 'y16', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis2': {'anchor': 'y2', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis3': {'anchor': 'y3', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis4': {'anchor': 'y4', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis5': {'anchor': 'y5', 'domain': [0.0, 0.2125], 'matches': 'x'},
'xaxis6': {'anchor': 'y6', 'domain': [0.2625, 0.475], 'matches': 'x'},
'xaxis7': {'anchor': 'y7', 'domain': [0.525, 0.7375], 'matches': 'x'},
'xaxis8': {'anchor': 'y8', 'domain': [0.7875, 1.0], 'matches': 'x'},
'xaxis9': {'anchor': 'y9', 'domain': [0.0, 0.2125], 'matches': 'x'},
'yaxis': {'anchor': 'x', 'domain': [0.80625, 1.0]},
'yaxis10': {'anchor': 'x10', 'domain': [0.26875, 0.4625]},
'yaxis11': {'anchor': 'x11', 'domain': [0.26875, 0.4625]},
'yaxis12': {'anchor': 'x12', 'domain': [0.26875, 0.4625]},
'yaxis13': {'anchor': 'x13', 'domain': [0.0, 0.19375]},
'yaxis14': {'anchor': 'x14', 'domain': [0.0, 0.19375]},
'yaxis15': {'anchor': 'x15', 'domain': [0.0, 0.19375]},
'yaxis16': {'anchor': 'x16', 'domain': [0.0, 0.19375]},
'yaxis2': {'anchor': 'x2', 'domain': [0.80625, 1.0]},
'yaxis3': {'anchor': 'x3', 'domain': [0.80625, 1.0]},
'yaxis4': {'anchor': 'x4', 'domain': [0.80625, 1.0]},
'yaxis5': {'anchor': 'x5', 'domain': [0.5375, 0.73125]},
'yaxis6': {'anchor': 'x6', 'domain': [0.5375, 0.73125]},
'yaxis7': {'anchor': 'x7', 'domain': [0.5375, 0.73125]},
'yaxis8': {'anchor': 'x8', 'domain': [0.5375, 0.73125]},
'yaxis9': {'anchor': 'x9', 'domain': [0.26875, 0.4625]}}
})
We may also print the fit statistics.
fit_stats
References
Here you can find the latest jupyter notebook and data files of this example.
Total running time of the script: (0 minutes 20.446 seconds)