custom model to fit a 2D moffat model to data, equate that to F_OIII_xy, then pass it to a 1D custom Gaussian equation to get a model spectrum. The idea is to have x, y and l (wavelength) as inputs, then the amplitude is fixed as it is calculated. When I run it I normally get mismatched dimension errors: wavelength is a 271 long list, and then x…

gistfile1.txt

def Moffat_3d_test(x, mean, stddev, Gauss_bkg, Gauss_grad,
              Moffat_amplitude, x_0, y_0, gamma, alpha, Moffat_bkg):
    # Moffat
    rr_gg = ((x_fit - x_0)**2 + (y_fit - y_0)**2) / gamma**2
    F_OIII_xy = Moffat_amplitude * (1 + rr_gg)**(-alpha) + Moffat_bkg
    # Prep for Gauss 1D
    Gauss_std = np.sqrt(stddev**2 + std_MUSE**2)
    A_OIII_xy = F_OIII_xy / (np.sqrt(2*np.pi) * Gauss_std)
    check_1.append(A_OIII_xy)
    model_spectra = []
    for Amp in A_OIII_xy:
        model_spectrum = (Gauss_bkg + (Gauss_grad * x) + np.abs(Amp) * np.exp(- 0.5 * (x - mean)** 2 / Gauss_std**2.) +
             (np.abs(Amp)/3) * np.exp(- 0.5 * (x - (mean - 47.9399))** 2 / Gauss_std**2.))
        model_spectra.append(model_spectrum)

    return model_spectra

#%%
new_model = Model(Moffat_3d_test, independant_vars=["x"])
test_data = np.array(PNe_spectra_list[0][202])

pars = new_model.make_params(mean=5007., stddev=0.9, Gauss_bkg=1., Gauss_grad=0.1,
                             Moffat_amplitude=20., x_0=8., y_0=8., gamma=4.47, alpha=2.39, Moffat_bkg=10)
pars["alpha"].vary = False
pars["gamma"].vary = False
pars["stddev"].vary = False
#pars["stddev"].min = 0.15
#pars["stddev"].max = 1.0
result = new_model.fit(test_data, x=wavelength, params=pars)

best_fit = result.best_fit
test_1 = best_fit[0]

plt.plot(wavelength, test_data, "k")
plt.plot(wavelength, test_1, "r-")

coordinates = [(n,m) for n in range(16) for m in range(16)]

x_fit = np.array([item[0] for item in coordinates])
y_fit = np.array([item[1] for item in coordinates])

x= [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,....] etc. up to 16
y=[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,.....] etc. this is done 16 times

l (or wavelength) is a wavelength range of 271 elements long

I also need to figure out where the data is input into the model as well, but this should give you an idea of the process early on