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How to calibrate an UV spectrometer if you have separate UVB, UVA and visible sources
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| 7.589883869999999888e+02 1.108104199133706363e-01 | |
| 7.592343059999999468e+02 1.132599368649740562e-01 | |
| 7.594801899999999932e+02 1.118463372974377174e-01 | |
| 7.597260400000000118e+02 1.108220227215712950e-01 | |
| 7.599718550000000050e+02 1.122622613212143489e-01 | |
| 7.602176359999999704e+02 1.102495493824873773e-01 | |
| 7.604633810000000267e+02 1.078258447401009013e-01 | |
| 7.607090930000000526e+02 1.103104324758158034e-01 | |
| 7.609547690000000557e+02 1.088111536623680847e-01 | |
| 7.612004110000000310e+02 1.073730737286318765e-01 | |
| 7.614460179999999809e+02 1.073329571070427008e-01 | |
| 7.616915910000000167e+02 1.075007390746451214e-01 | |
| 7.619371290000000272e+02 1.035131904478869408e-01 | |
| 7.621826320000000123e+02 1.049045336773893888e-01 | |
| 7.624281009999999696e+02 1.041226529693692754e-01 | |
| 7.626735340000000178e+02 1.046728153604694622e-01 | |
| 7.629189330000000382e+02 1.053337968418958381e-01 | |
| 7.631642980000000307e+02 1.042353443663236734e-01 | |
| 7.634096270000000004e+02 1.060221842839111778e-01 | |
| 7.636549220000000560e+02 1.055328661747490376e-01 | |
| 7.639001819999999725e+02 1.068882211969117701e-01 | |
| 7.641454079999999749e+02 1.005373737879725338e-01 | |
| 7.643905979999999545e+02 1.029066955235919401e-01 | |
| 7.646357540000000199e+02 1.024237000999504016e-01 | |
| 7.648808749999999463e+02 9.954125470338080761e-02 | |
| 7.651259609999999611e+02 1.001965940606678318e-01 | |
| 7.653710129999999481e+02 1.012264792056992713e-01 | |
| 7.656160290000000259e+02 9.912032388780805947e-02 | |
| 7.658610109999999622e+02 9.561404656864407048e-02 | |
| 7.661059579999999869e+02 9.683931777776150218e-02 | |
| 7.663508699999999862e+02 9.571717971521918888e-02 | |
| 7.665957469999999603e+02 9.880777519693351163e-02 | |
| 7.668405890000000227e+02 9.638381228830666947e-02 | |
| 7.670853969999999435e+02 9.524274154320598595e-02 | |
| 7.673301689999999553e+02 9.652872667559349307e-02 | |
| 7.675749070000000529e+02 9.717897211559754778e-02 | |
| 7.678196090000000140e+02 9.518179860592633490e-02 | |
| 7.680642769999999473e+02 9.226103399930742077e-02 | |
| 7.683089099999999689e+02 9.377706269387602045e-02 | |
| 7.685535079999999653e+02 9.111248575499947266e-02 | |
| 7.687980710000000499e+02 9.214614080896287029e-02 | |
| 7.690425989999999956e+02 9.435138738644149869e-02 | |
| 7.692870920000000297e+02 9.171188889490204665e-02 | |
| 7.695315500000000384e+02 9.227834445536756136e-02 | |
| 7.697759730000000218e+02 9.141285764858730900e-02 | |
| 7.700203609999999799e+02 9.235794587958355562e-02 | |
| 7.702647150000000238e+02 9.098163576165031741e-02 | |
| 7.705090330000000449e+02 9.043433733115713302e-02 | |
| 7.707533160000000407e+02 8.944020859248887068e-02 | |
| 7.709975640000000112e+02 8.676224745969052243e-02 | |
| 7.712417769999999564e+02 8.410882277665809870e-02 | |
| 7.714859549999999899e+02 8.701977247220660239e-02 | |
| 7.717300979999999981e+02 8.773447111371933393e-02 | |
| 7.719742059999999810e+02 8.791125684588567413e-02 | |
| 7.722182780000000548e+02 8.452884550183269174e-02 | |
| 7.724623159999999871e+02 8.514068204767419323e-02 | |
| 7.727063190000000077e+02 8.422932832579155260e-02 | |
| 7.729502860000000055e+02 8.332338239747033581e-02 | |
| 7.731942179999999780e+02 8.366832295071943704e-02 | |
| 7.734381160000000364e+02 8.353117176206692474e-02 | |
| 7.736819779999999582e+02 8.463689033095742054e-02 | |
| 7.739258049999999685e+02 8.416983271972366953e-02 | |
| 7.741695969999999534e+02 8.208540842934008985e-02 | |
| 7.744133530000000292e+02 8.350792924256340843e-02 | |
| 7.746570749999999634e+02 8.402949045854858634e-02 | |
| 7.749007609999999886e+02 8.139716391665198503e-02 | |
| 7.751444119999999884e+02 8.179573936508315046e-02 | |
| 7.753880279999999630e+02 8.158381260940289481e-02 | |
| 7.756316090000000258e+02 8.181517746488911613e-02 | |
| 7.758751539999999522e+02 7.861706723980427247e-02 | |
| 7.761186649999999645e+02 7.791055191435349025e-02 | |
| 7.763621399999999539e+02 7.930995519352056211e-02 | |
| 7.766055790000000343e+02 7.838872726860325602e-02 | |
| 7.768489839999999731e+02 7.879194324995253407e-02 | |
| 7.770923530000000028e+02 7.705611651929714090e-02 | |
| 7.773356870000000072e+02 7.741728672224980345e-02 | |
| 7.775789859999999862e+02 7.728168829797374406e-02 | |
| 7.778222490000000562e+02 7.791056635051375745e-02 | |
| 7.780654769999999871e+02 7.731852822366823419e-02 | |
| 7.783086700000000064e+02 7.750836817220704833e-02 | |
| 7.785518280000000004e+02 7.557014507159473538e-02 | |
| 7.787949499999999716e+02 7.198046893642112698e-02 | |
| 7.790380370000000312e+02 7.351852841684634876e-02 | |
| 7.792810879999999543e+02 7.308262280145079448e-02 | |
| 7.795241039999999657e+02 7.184358189053589860e-02 | |
| 7.797670849999999518e+02 7.131556646606210248e-02 | |
| 7.800100300000000288e+02 7.282990172152445374e-02 | |
| 7.802529399999999669e+02 7.340964179288271552e-02 | |
| 7.804958149999999932e+02 7.186964749408963904e-02 | |
| 7.807386539999999968e+02 7.059426989789709117e-02 | |
| 7.809814569999999776e+02 6.845674251782414566e-02 | |
| 7.812242260000000442e+02 6.945008612306598217e-02 | |
| 7.814669589999999744e+02 6.721526823400254813e-02 | |
| 7.817096559999999954e+02 6.850099612445534336e-02 | |
| 7.819523179999999911e+02 6.919882477993155590e-02 | |
| 7.821949449999999615e+02 6.930226062263011855e-02 | |
| 7.824375360000000228e+02 6.783366263275864005e-02 | |
| 7.826800909999999476e+02 6.802887564475276760e-02 | |
| 7.829226109999999608e+02 6.595766147012194214e-02 | |
| 7.831650959999999486e+02 6.638121828070629726e-02 | |
| 7.834075450000000274e+02 6.664569462921260401e-02 | |
| 7.836499579999999696e+02 6.688701230088878180e-02 | |
| 7.838923360000000002e+02 6.653465219781924678e-02 | |
| 7.841346790000000055e+02 6.602394233300204474e-02 | |
| 7.843769859999999881e+02 6.595739631734469366e-02 | |
| 7.846192569999999478e+02 6.521637352385409314e-02 | |
| 7.848614929999999958e+02 6.566086899052034354e-02 | |
| 7.851036930000000211e+02 6.460217372189318297e-02 | |
| 7.853458580000000211e+02 6.357421093651055566e-02 | |
| 7.855879869999999983e+02 6.351296859691356322e-02 | |
| 7.858300799999999526e+02 6.584576272921165152e-02 | |
| 7.860721379999999954e+02 6.515940740356890304e-02 | |
| 7.863141600000000153e+02 6.444941390557233640e-02 | |
| 7.865561470000000099e+02 6.662340410110507982e-02 | |
| 7.867980979999999818e+02 6.546424190064373261e-02 | |
| 7.870400130000000445e+02 6.521599317233769955e-02 | |
| 7.872818929999999682e+02 6.481789778467254848e-02 | |
| 7.875237369999999828e+02 6.282759930951360705e-02 | |
| 7.877655449999999746e+02 6.360309598609772963e-02 | |
| 7.880073169999999436e+02 6.353358484693728825e-02 | |
| 7.882490540000000010e+02 6.235410325158770306e-02 | |
| 7.884907550000000356e+02 6.044027061534643086e-02 | |
| 7.887324210000000448e+02 6.245220772467091619e-02 | |
| 7.889740510000000313e+02 6.243987123108245274e-02 | |
| 7.892156449999999950e+02 6.161174952861588061e-02 | |
| 7.894572030000000495e+02 6.076767700005400452e-02 | |
| 7.896987249999999676e+02 6.131897964372148152e-02 |
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| matplotlib.rc('font', size=12, family='serif') | |
| ## soft truncation of UV spectra | |
| from scipy import special | |
| ys[0] *= special.erf((-xs[0]+550)/100) | |
| ys[1] *= special.erf((-xs[1]+470)/100) | |
| ## plotting raw inputs | |
| for x, y, param, label, xlabel, ylabel, color in zip(xs, ys, params, labels, xlabels, ylabels, colors): | |
| ax.plot(xs[0], y, label="%s" % (label), color=color) | |
| ## add the known halogen spectrum | |
| def analytic_halogen_spectrum(xx): | |
| ## Provided by the calibration lamp manufacturer | |
| ## and added a fitted UV-component of a smooth UV emission peak | |
| return 3000 * xx**(-5)*np.exp(41.7997795219285 - 4911.81898363455/xx)* \ | |
| (0.654775110978796 + 856.950266207982/xx - 677547.170628456/(xx**2) + \ | |
| 205060324.151146/(xx**3) - 22492160721.6625/(xx**4)) | |
| halogen = analytic_halogen_spectrum(xs[0]) | |
| ax.plot(xs[0], halogen, c='b') | |
| ## fit UV spectra with three-gaussian functions | |
| import scipy | |
| from scipy.optimize import curve_fit | |
| def trigaus(x,a,x0,sigma,a2,x02,sigma2,a3,x03,sigma3): | |
| return a*np.exp(-(x-x0)**2/(2*sigma**2))+a2*np.exp(-(x-x02)**2/(2*sigma2**2))+a3*np.exp(-(x-x03)**2/(2*sigma3**2)) | |
| p0=[5000, 350, 50, 5000, 330, 30, 5000, 340, 70] | |
| popt, pcov=curve_fit(trigaus,x,ys[0],p0) | |
| print("FITTING FROM", p0, "WITH RESULT", popt) | |
| yagfit = trigaus(xs[0],*popt) | |
| yagfit /= np.sum(yagfit*ys[2])/np.sum(yagfit*halogen) ## guess UV amplitude from halogen weighted average | |
| ax.plot(xs[0], yagfit, label="YAG-fit", color='r') | |
| p0=[3000, 390, 50, 3000, 370, 20, 3000, 380, 70] | |
| popt, pcov=curve_fit(trigaus,x,ys[1],p0) | |
| print("FITTING FROM", p0, "WITH RESULT", popt) | |
| yapfit = trigaus(xs[0],*popt) | |
| yapfit /= np.sum(yapfit*ys[2])/np.sum(yapfit*halogen) ## guess UV amplitude from halogen weighted average | |
| ax.plot(xs[0], yapfit, label="YAP fit", color='g') | |
| ## Plot all | |
| allfit = halogen + yapfit + yagfit | |
| allexpe = ys[2] + ys[1] + ys[0] | |
| ax.plot(xs[0], allfit, c='k', lw=.5, label='sum of fits') | |
| ax.plot(xs[0], allexpe, c='k',lw=.3, label='sum of experimental') | |
| sensitivity = allexpe/allfit | |
| ax.plot(xs[0], sensitivity, label='calibration curve', c='k',lw=1) | |
| np.savetxt('calibration_curve.dat', np.vstack([xs[0],sensitivity]).T) | |
| ax.set_xlabel(xlabelsdedup) | |
| ax.set_ylabel(ylabelsdedup) | |
| ax.set_title('') | |
| ax.legend(loc='best', prop={'size':10}) |
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Halogen lamp cannot be used in UVB since the signal/noise is too low. Thus, we are digitally adding two other sources from e-beam excited crystals with broadband emission in UV.
The UV sensitivities are then fitted to match the discrepancy of the spectrum of the halogen lamp.
Using three sources of light:
calibrated halogen lamp for visible
File name: halogen-raw.dat
Original file path:
Nitridy mereni/SEM/dominecf/technicke/170420-Kalibrace-Avaspec/Kalibracni lampa/KL10002.ROH_converted_raw_kalib 100ms 100avg.datKnown spectral curve:
cathodoluminescence of YAP for UVA
File name: YAPCL-raw.dat
Original file location:
Nitridy mereni/SEM/dominecf/2017/09zari/170920-108YAP-atd_TODO/orig98YAP108YAP-OPRAVA0016.ROH_converted_raw_spot6.5.datFitted tri-gaussian spectral curve parameters:
[ -1.77215310e+03 3.04996112e+02 6.92195183e+00
1.04988715e+04 3.26702013e+02 -1.62654697e+01
5.90126173e+02 3.62160666e+02 1.53300430e+01]
cathodoluminescence of YAG for UVB down to 300nm
File name: YAGCL-raw.dat
Original file path:
Nitridy mereni/SEM/dominecf/2017/05kveten/170522-Kucerkova-YAlOCr-vrstvy/orig/170522-NIKLKU20019.ROH_converted_raw_c14 spot8 10kV.datFitted tri-gaussian spectral curve parameters:
[ 1941.80769441 334.9554185 10.08196077
9842.94075408 379.86326572 21.12622573
-154.62005073 642.51662006 92.60110253]
The tri-gaussian spectral curve is defined in the code.