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': '5b2c1157-fe1d-4d38-9dab-96fdab1dc42c',
'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': '22c249bf-3060-4892-90e4-e82338747c2a',
'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': 'dbaba27b-6a3e-4a61-8ed1-1cbb9bbbbef7',
'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': 'eba2ff2e-88d5-4b44-afda-e11fe06c03d5',
'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': '8d2734a9-3557-4592-b453-dd4d79364852',
'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': 'b1ceb863-654b-4c8b-aabe-e4b607fb1f9e',
'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': 'c2e662ae-a22d-424b-ad18-064e441afe55',
'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': 'bbdbfc4f-b547-4529-b663-4878d34b5aef',
'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': 'd9c1afee-a76a-4c68-a7bb-d893e28f225a',
'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': '38c9cfda-ebdb-4f80-a882-3b95d979f152',
'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': 'e08f1378-c223-4fef-afbe-51ba4328a202',
'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': '41816882-40d6-4fd0-b14b-3f1f283f89a6',
'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': '5166277f-fe7c-410b-9d78-38a1bd85b3b2',
'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': 'a0e53545-b3fc-4dd0-b787-4198edaccaf8',
'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': '9a42ce41-a020-42ae-a214-2ec5e37fd6b9',
'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': '09f0b1c9-eec9-4809-8f85-12ef5906ea0f',
'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': '92ca1ea8-9078-4411-a60e-19ad50d25aca',
'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': '5a35baa7-ffa4-4076-8cd7-c93be1905d35',
'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': '5eb0fff5-298b-4912-8674-fbf5491974ba',
'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': '22508fdd-f256-47ef-a95f-4c2efb4cfa0b',
'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': 'c443916e-da84-425a-9737-9ecea09d15bd',
'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': '2aeeb5bc-8ce5-4329-88a1-f7bf10d48d77',
'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': '05563a9e-06f7-4a28-95cc-e61cec148cac',
'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': '2460f06e-ebce-4464-9495-b0713628b18f',
'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': 'e3f273ea-99fc-4a50-9da5-7fad5a032e05',
'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': '226bb7e9-136f-4bbe-bc5d-acc3fb0da010',
'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': '7d267d97-abd9-4897-aa5f-ee5cc53d80a8',
'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': '059f3ed1-af8c-4e3b-b3ef-006303d3ed92',
'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': '72891ba7-cc36-4ce9-ab92-4db2312af483',
'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': '9fb1ab56-2baf-4b4a-bbbb-107d98b50324',
'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': '93b65302-ddf3-488c-8910-c21b95ee6a5a',
'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': 'f83058a7-3278-463b-a010-ce5ef6574362',
'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': '5724123e-e405-4f58-9846-a450ca0aa51e',
'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': '98d81d52-51c3-4f27-9cfc-1c5ff5426f9b',
'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': 'eb286709-5c48-440b-adc0-8981b23764e1',
'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': '77357a68-12f2-4d8b-9756-da06e6112362',
'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': 'f350d8eb-2a2b-4726-bade-921078091403',
'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': '566a7e35-4a83-43cb-a6d0-7b5611434410',
'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': '8573caac-d8c9-4073-a7d4-ac5fc3dcb491',
'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': '6a4731a2-ebb1-4167-855f-41c54a1ab35e',
'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': '6e09ada3-df6e-4f6c-b8a5-ed3783313509',
'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': 'a5d427f5-b3db-458f-800f-1b416b079487',
'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': '0cb14759-b8c4-4cfb-bd1b-66d75ce3d01a',
'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': '763c85b1-92f3-4f32-8365-e2ad21bff23d',
'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': 'cb4efc3b-ca27-4565-a5b1-9beabc5175f3',
'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': 'a6e5a10c-0239-4371-9a0f-2affa616e1e2',
'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': '5a3fa0b3-b315-481e-8ec6-459a5343b360',
'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': '255cdbe5-77b6-47d2-ac83-c5be2d99186d',
'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': '0891bb76-218b-4690-9262-d260c200a7e1',
'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': 'a7ba962e-5988-4061-8c1a-9afe13f558c0',
'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': 'c47bc541-317a-4259-a218-2d59a71ac801',
'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': 'ab58df15-2ebd-4a74-be97-98505bab80d6',
'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': '58432c92-454d-4645-a98b-690d25913eec',
'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': '24b8a9a0-fd83-4c9d-87ea-255359affe74',
'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': '80b4daff-d1d7-484a-8625-87eefce03627',
'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': '9f00b4bb-8419-498d-ae9a-dbfc24d9c518',
'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': 'dda21573-54aa-4e10-9665-016d26f2ff40',
'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': '9d7c4198-d19e-48af-aae9-c20f902b9e4c',
'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': 'b028464b-21b0-4abf-b6bc-c4e1572f0c85',
'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': '8aa6da0a-2753-4f6d-ae71-e92d978cfae0',
'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': '31dbfbda-3779-4808-8185-90e48d67ef95',
'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': 'f0c0e44c-9da3-43e1-8617-2fca72a88ada',
'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': '14373a5f-dc1d-4e23-94f6-8908c626a003',
'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': '8cf03b9d-7984-44df-aee0-e4c5a616aad7',
'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': 'ef545e9a-c871-4052-8df3-9205fc050d28',
'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': '2649b1a1-171a-47fe-985c-a429b4e2fd89',
'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': '7783d2fa-e9ee-46c4-8e9a-a2d9aaf968e8',
'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': 'd657a5fb-45ec-45d5-b3e7-23b42d372d48',
'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': 'd332426e-f310-4084-b8f8-d0907893ec75',
'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': '8fbef675-b4e3-4c68-bc42-da18c1fe1f9d',
'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': 'b1a3a367-5c71-4366-b672-af9f3dd9c5f3',
'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': '1b97a2d6-5886-40d4-bc8d-faa7b032511f',
'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': 'a54d7f1b-074d-4033-b5d0-6f1af9290fe5',
'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': '3306cf1f-2858-4472-a288-c047d7534749',
'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': '607cb43c-db95-4f65-a22b-7effac500650',
'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': '15d29754-4625-485b-a8b2-19ec825e09a5',
'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': 'ae3f2d30-e9a6-4cb0-9683-dfafe2ab7183',
'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': '22bcc0ed-c991-453d-978a-9f4d9527b605',
'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': '3a6a7254-7910-4438-82a0-e27c752a91f4',
'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': 'a56608f8-f6ac-420a-a0c0-f026dc4fd638',
'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': 'f348575e-6ea7-42e2-84f0-9ace83fbb9fb',
'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': 'cc52c5af-6235-4c30-a6e6-8f4708e29d31',
'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': '8c2095d8-a468-4fe3-a1a5-d71447d54cab',
'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': 'ff7c628c-e115-4d7e-8f88-9d37f2fe79c0',
'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': '0b884f1c-f969-41f2-b410-5693bc93b9a2',
'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': '152d0571-11ad-4b37-84c7-dcf212b8f1cc',
'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': '5aa4bed2-3e2c-4ccf-91f2-a4b56cbfddc0',
'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': 'c9bae403-a112-4f72-aaf4-3894c9c92558',
'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': '11af7a46-9f7b-49cf-931e-afc3c217f246',
'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': 'ff1ac1ee-439f-4c47-a11e-f5316d48de20',
'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': '3e3c6008-e365-4fc9-8039-316fcac9d860',
'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': '09f554d3-0299-46f0-915d-7d547d2b699c',
'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': 'e86e8556-08f0-4ecb-a8a0-adc1dd4d2585',
'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': '234d1cac-f9f1-4bd2-bac6-c510db34e36d',
'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': '09d473be-7bd9-4630-a8a7-52a573c8d1c9',
'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': 'c1e40264-3170-4bf7-8400-175e6e359394',
'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 14.518 seconds)