Optical constants
Refractive index of TiO2 (Titanium dioxide)
Franta et al. 2015: Thin film; n,k 0.114–125 µm
- Data
- tabulated nk
- Range
- 0.1141–125.1 µm
- Points
- 609
- State
- amorphous
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.32467
- Extinction coefficient k
- 3.39086e-08
- Permittivity ε1
- 5.40409
- Permittivity ε2
- 1.57652e-07
- Absorption coefficient α
- 0.00725166 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 2.75799e+09 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.507357 µm⁻¹
- Group index ng
- 2.62279
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 2.11001 eV
ε = (n + ik)², α = 4πk/λ, ng = n − λ dn/dλ, GVD = λ³/(2πc²) d²n/dλ², D = −(λ/c) d²n/dλ². Group-velocity dispersion is given for formula data only.
Use it in Lightsmith
Load this data in Python, simulate in one more line
pip install lightsmith
import lightsmith as ls
# TiO2 (Titanium dioxide): Franta et al. 2015: Thin film; n,k 0.114–125 µm
tio2 = ls.fetch_refractiveindex("main", "TiO2", "Franta", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tio2.range_nm) # (114.114, 125124) nm
eps = tio2.eps([633]) # complex permittivity
Downloads the original record once (pinned to the imported snapshot) and caches it.
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_d9ca894b01ea/lightsmith"
tio2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(tio2.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (tio2/franta-2015).
# ... load tio2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=tio2)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelength
Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
Lightsmith is open source (MIT): Mie, T-matrix, BEM, DDA, FDTD, RCWA, TMM, mode solvers and inverse design behind one spec, on CPU or GPU. GitHub.
Comments and conditions
Conditions
- film thickness
- 99.6e-9
- substrate
- c-Si
References
- doi:10.1117/12.2190104 Dispersion model for optical thin films applicable in wide spectral range, SPIE Proceedings (2015)
Cite
Daniel Franta, David Nečas, Ivan Ohlídal and Angelo Giglia. Dispersion model for optical thin films applicable in wide spectral range. SPIE Proceedings, 9628, 96281U (2015), doi:10.1117/12.2190104; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
609 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.114114 | 0.9542948024342 | 0.7247602836622 |
| 0.115436 | 0.9557810905278 | 0.7508864850033 |
| 0.116772 | 0.9584285750096 | 0.7772043513019 |
| 0.118124 | 0.9622293381114 | 0.8037272875539 |
| 0.119492 | 0.9671898903006 | 0.830465105553 |
| 0.120876 | 0.9733298803864 | 0.8574235696924 |
| 0.122276 | 0.9806813269954 | 0.8846035325064 |
| 0.123692 | 0.9892881410759 | 0.9119997076429 |
| 0.125124 | 0.9992057775896 | 0.9395990889648 |
| 0.126573 | 1.010500882115 | 0.9673790031552 |
| 0.128038 | 1.023250801429 | 0.9953047734299 |
| 0.129521 | 1.037542814127 | 1.023326972323 |
| 0.131021 | 1.053472912153 | 1.051378253409 |
| 0.132538 | 1.071143929833 | 1.079369778756 |
| 0.134073 | 1.090662777369 | 1.107187306113 |
| 0.135625 | 1.112136496907 | 1.134687074095 |
| 0.137196 | 1.135666831481 | 1.161691732085 |
| 0.138784 | 1.161342996913 | 1.187986710075 |
| 0.140391 | 1.189232398416 | 1.213317613064 |
| 0.142017 | 1.219369169787 | 1.237389444789 |
| 0.143661 | 1.251740671415 | 1.259868687354 |
| 0.145325 | 1.286272497471 | 1.280389429331 |
| 0.147008 | 1.322813124147 | 1.298564753117 |
| 0.14871 | 1.361120040285 | 1.314004340898 |
| 0.150432 | 1.400849917482 | 1.326338611692 |
| 0.152174 | 1.441555873352 | 1.335248586467 |
| 0.153936 | 1.482694850312 | 1.34049915682 |
| 0.155718 | 1.523647269801 | 1.34197178248 |
| 0.157522 | 1.563749291096 | 1.339691369656 |
| 0.159346 | 1.602335413501 | 1.333841802634 |
| 0.161191 | 1.638786442579 | 1.324765778607 |
| 0.163057 | 1.672575909521 | 1.312947232469 |
| 0.164945 | 1.703307709274 | 1.298978116817 |
| 0.166855 | 1.730739303549 | 1.28351455016 |
| 0.168787 | 1.754787873054 | 1.267229295001 |
| 0.170742 | 1.775520288852 | 1.25076761402 |
| 0.172719 | 1.79313060895 | 1.23471194955 |
| 0.174719 | 1.807910289512 | 1.219558323023 |
| 0.176742 | 1.820216329349 | 1.205704760639 |
| 0.178789 | 1.830441527688 | 1.193450095649 |
| 0.180859 | 1.838989512773 | 1.18300045173 |
| 0.182953 | 1.846255706071 | 1.174480498761 |
| 0.185072 | 1.852614231165 | 1.167946925505 |
| 0.187215 | 1.8584100548 | 1.163402197118 |
| 0.189383 | 1.863955314439 | 1.160807329658 |
| 0.191575 | 1.869528733013 | 1.160092984599 |
| 0.193794 | 1.875377132596 | 1.161168611064 |
| 0.196038 | 1.881718243204 | 1.163929642305 |
| 0.198308 | 1.888744200652 | 1.168262911855 |
| 0.200604 | 1.896625305382 | 1.174050527018 |
| 0.202927 | 1.905513758719 | 1.181172453238 |
| 0.205277 | 1.915547201799 | 1.189508046231 |
| 0.207654 | 1.926851959349 | 1.198936735825 |
| 0.210058 | 1.939545941236 | 1.209338026869 |
| 0.212491 | 1.953741185383 | 1.220590944248 |
| 0.214951 | 1.969546041306 | 1.2325730142 |
| 0.21744 | 1.987066998161 | 1.2451588439 |
| 0.219958 | 2.006410157622 | 1.258218336173 |
| 0.222505 | 2.027682341821 | 1.271614555975 |
| 0.225082 | 2.050991811082 | 1.285201250017 |
| 0.227688 | 2.076448545397 | 1.298820010603 |
| 0.230324 | 2.104164017604 | 1.312297070297 |
| 0.232991 | 2.134250354459 | 1.325439716556 |
| 0.235689 | 2.166818744141 | 1.33803232748 |
| 0.238418 | 2.201976905018 | 1.349832054673 |
| 0.241179 | 2.239825381942 | 1.360564221932 |
| 0.243972 | 2.280452385685 | 1.369917575536 |
| 0.246797 | 2.323926844353 | 1.377539621485 |
| 0.249655 | 2.370289303598 | 1.383032426206 |
| 0.252546 | 2.419540313277 | 1.385949448484 |
| 0.25547 | 2.471625999596 | 1.385794216359 |
| 0.258428 | 2.526420683387 | 1.382021958331 |
| 0.261421 | 2.583706718019 | 1.374045618945 |
| 0.264448 | 2.643152241398 | 1.361247978395 |
| 0.26751 | 2.704288312949 | 1.343001750429 |
| 0.270608 | 2.766487945162 | 1.318699391964 |
| 0.273741 | 2.828950758761 | 1.287793709855 |
| 0.276911 | 2.890698161748 | 1.249848975784 |
| 0.280117 | 2.950584655638 | 1.204600030528 |
| 0.283361 | 3.007330517937 | 1.152013891623 |
| 0.286642 | 3.059579091371 | 1.092345207445 |
| 0.289961 | 3.10597791503 | 1.026174544998 |
| 0.293319 | 3.145277342197 | 0.9544182761738 |
| 0.296715 | 3.176434435723 | 0.8783018236441 |
| 0.300151 | 3.198705895172 | 0.7992943591502 |
| 0.303627 | 3.211713576078 | 0.7190113515244 |
| 0.307142 | 3.21547066176 | 0.6390990217795 |
| 0.310699 | 3.210364687939 | 0.5611189901965 |
| 0.314297 | 3.197102723438 | 0.4864506411256 |
| 0.317936 | 3.176631036026 | 0.4162234725802 |
| 0.321618 | 3.150044563633 | 0.3512841278244 |
| 0.325342 | 3.118500318045 | 0.2921956063422 |
| 0.329109 | 3.083144815099 | 0.2392612635923 |
| 0.33292 | 3.045060652604 | 0.1925642660254 |
| 0.336775 | 3.005233016901 | 0.1520136862429 |
| 0.340675 | 2.964534021903 | 0.1173903874676 |
| 0.34462 | 2.923721527988 | 0.08838825994487 |
| 0.34861 | 2.88344929058 | 0.06464855237383 |
| 0.352647 | 2.844287045313 | 0.04578666694492 |
| 0.35673 | 2.806754592593 | 0.03141179465523 |
| 0.360861 | 2.771410275016 | 0.02113599074506 |
| 0.36504 | 2.738975399135 | 0.01423986558663 |
| 0.369266 | 2.709596655865 | 0.009631552376223 |
| 0.373542 | 2.683018449161 | 0.006540275904729 |
| 0.377868 | 2.658912138541 | 0.004458843513328 |
| 0.382243 | 2.636957903175 | 0.003052061701185 |
| 0.386669 | 2.616870113155 | 0.002097610273136 |
| 0.391147 | 2.598402893232 | 0.001447530617612 |
| 0.395676 | 2.581348144632 | 0.001003017888074 |
| 0.400258 | 2.565530964547 | 0.000697862580811 |
| 0.404893 | 2.550804548226 | 0.0004875399844809 |
| 0.409581 | 2.537045423749 | 0.0003419994853501 |
| 0.414324 | 2.524149315268 | 0.0002408845204222 |
| 0.419121 | 2.51202768421 | 0.0001703538312187 |
| 0.423975 | 2.500604895558 | 0.0001209606815477 |
| 0.428884 | 2.489815921317 | 8.623315769754e-05 |
| 0.43385 | 2.479604488812 | 6.172050793547e-05 |
| 0.438874 | 2.469921589705 | 4.435028197215e-05 |
| 0.443956 | 2.460724278079 | 3.199343333767e-05 |
| 0.449097 | 2.451974698757 | 2.316904907067e-05 |
| 0.454297 | 2.443639298508 | 1.684315122651e-05 |
| 0.459558 | 2.435688182567 | 1.229110049511e-05 |
| 0.464879 | 2.428094586783 | 9.003153570303e-06 |
| 0.470262 | 2.420834442117 | 6.61940431925e-06 |
| 0.475707 | 2.413886013133 | 4.88480399388e-06 |
| 0.481216 | 2.40722959611 | 3.617951114498e-06 |
| 0.486788 | 2.400847265421 | 2.689357833174e-06 |
| 0.492425 | 2.394722659183 | 2.00626127802e-06 |
| 0.498127 | 2.388840797085 | 1.5019711886e-06 |
| 0.503895 | 2.383187924691 | 1.128372675896e-06 |
| 0.50973 | 2.377751379674 | 8.506311269264e-07 |
| 0.515632 | 2.372519476311 | 6.434394442359e-07 |
| 0.521603 | 2.367481405273 | 4.883492222981e-07 |
| 0.527643 | 2.362627146291 | 3.718663054733e-07 |
| 0.533752 | 2.35794739171 | 2.840872063284e-07 |
| 0.539933 | 2.353433479323 | 2.177195108088e-07 |
| 0.546185 | 2.349077333115 | 1.673758046032e-07 |
| 0.55251 | 2.344871410807 | 1.29063076646e-07 |
| 0.558907 | 2.340808657261 | 9.981228067833e-08 |
| 0.565379 | 2.336882462967 | 7.74087161543e-08 |
| 0.571926 | 2.333086626932 | 6.019516365553e-08 |
| 0.578549 | 2.329415323417 | 4.692768900146e-08 |
| 0.585248 | 2.325863072057 | 3.666969531874e-08 |
| 0.592025 | 2.322424710919 | 2.871383718065e-08 |
| 0.59888 | 2.319095372184 | 2.252429364357e-08 |
| 0.605815 | 2.315870460127 | 1.769396294926e-08 |
| 0.61283 | 2.312745631141 | 1.39126267805e-08 |
| 0.619926 | 2.309716775579 | 1.094320278697e-08 |
| 0.627104 | 2.30678000121 | 8.603978526335e-09 |
| 0.634366 | 2.303931618123 | 6.755281700465e-09 |
| 0.641712 | 2.301168124925 | 5.289450223133e-09 |
| 0.649142 | 2.298486196098 | 4.123263815185e-09 |
| 0.656659 | 2.295882670406 | 3.192216990809e-09 |
| 0.664263 | 2.293354540236 | 2.446173390686e-09 |
| 0.671955 | 2.290898941794 | 1.84605922586e-09 |
| 0.679735 | 2.288513146067 | 1.36134053089e-09 |
| 0.687606 | 2.286194550483 | 9.680932545103e-10 |
| 0.695568 | 2.283940671204 | 6.47522948938e-10 |
| 0.703623 | 2.281749135985 | 3.848263329512e-10 |
| 0.71177 | 2.279617677574 | 1.683134976591e-10 |
| 0.720012 | 2.277544127534 | 1.526930201152e-239 |
| 0.72835 | 2.275526410752 | 9.573692202522e-234 |
| 0.736783 | 2.273562539895 | 4.380628319758e-228 |
| 0.745315 | 2.271650610494 | 1.473531979539e-222 |
| 0.753945 | 2.269788796456 | 3.66982786562e-217 |
| 0.762676 | 2.267975345753 | 6.814287057366e-212 |
| 0.771507 | 2.266208576395 | 9.49816903171e-207 |
| 0.780441 | 2.264486872717 | 1.000442959375e-201 |
| 0.789478 | 2.262808681848 | 8.014927804022e-197 |
| 0.798619 | 2.261172510434 | 4.914946345412e-192 |
| 0.807867 | 2.259576921578 | 2.32136545791e-187 |
| 0.817222 | 2.258020531934 | 8.495825952295e-183 |
| 0.826685 | 2.256502009004 | 2.42368593149e-178 |
| 0.836257 | 2.255020068581 | 5.420856526385e-174 |
| 0.845941 | 2.253573472372 | 9.559490745985e-170 |
| 0.855736 | 2.252161025698 | 1.336518210944e-165 |
| 0.865645 | 2.250781575412 | 1.489467906968e-161 |
| 0.875669 | 2.249434007853 | 1.330125297686e-157 |
| 0.885809 | 2.248117246974 | 9.567433083644e-154 |
| 0.896066 | 2.246830252539 | 5.570891395037e-150 |
| 0.906442 | 2.245572018431 | 2.638851598766e-146 |
| 0.916938 | 2.244341571054 | 1.021766795103e-142 |
| 0.927555 | 2.24313796781 | 3.249171840476e-139 |
| 0.938296 | 2.241960295661 | 8.524487914677e-136 |
| 0.949161 | 2.240807669769 | 1.853461070939e-132 |
| 0.960152 | 2.2396792322 | 3.35442624825e-129 |
| 0.97127 | 2.238574150695 | 5.07491708829e-126 |
| 0.982517 | 2.237491617485 | 6.445092462949e-123 |
| 0.993894 | 2.23643084822 | 6.899071713967e-120 |
| 1.0054 | 2.235391080853 | 6.249488511757e-117 |
| 1.01704 | 2.234371574694 | 4.809298403021e-114 |
| 1.02882 | 2.233371609393 | 3.1561277906e-111 |
| 1.04073 | 2.232390484057 | 1.772871010749e-108 |
| 1.05279 | 2.231427516369 | 8.555123970237e-106 |
| 1.06498 | 2.230482041734 | 3.559120118378e-103 |
| 1.07731 | 2.229553412511 | 1.280947123009e-100 |
| 1.08978 | 2.228640997214 | 4.001864040159e-98 |
| 1.1024 | 2.227744179803 | 1.088861080584e-95 |
| 1.11517 | 2.226862358966 | 2.588600078433e-93 |
| 1.12808 | 2.225994947453 | 5.393997479603e-91 |
| 1.14114 | 2.22514137143 | 9.882097656708e-89 |
| 1.15436 | 2.224301069864 | 1.596572315577e-86 |
| 1.16772 | 2.223473493894 | 2.281430973743e-84 |
| 1.18124 | 2.222658106333 | 2.891705712973e-82 |
| 1.19492 | 2.221854380976 | 3.260234081449e-80 |
| 1.20876 | 2.221061802243 | 3.278560105264e-78 |
| 1.22276 | 2.220279864521 | 2.948637752621e-76 |
| 1.23692 | 2.219508071728 | 2.3779402577e-74 |
| 1.25124 | 2.218745936834 | 1.723982183971e-72 |
| 1.26573 | 2.21799298137 | 1.126425117098e-70 |
| 1.28038 | 2.217248735056 | 6.649208006555e-69 |
| 1.29521 | 2.216512735236 | 3.554441505187e-67 |
| 1.31021 | 2.215784526551 | 1.724719837893e-65 |
| 1.32538 | 2.215063660554 | 7.613773681975e-64 |
| 1.34073 | 2.214349695183 | 3.064652320642e-62 |
| 1.35625 | 2.213642194489 | 1.127211985619e-60 |
| 1.37196 | 2.212940728232 | 3.79659784312e-59 |
| 1.38784 | 2.212244871495 | 1.173406159156e-57 |
| 1.40391 | 2.211554204385 | 3.334619030754e-56 |
| 1.42017 | 2.210868311518 | 8.730661569833e-55 |
| 1.43661 | 2.210186781852 | 2.110037830941e-53 |
| 1.45325 | 2.209509208326 | 4.716231890463e-52 |
| 1.47008 | 2.208835187485 | 9.767030868502e-51 |
| 1.4871 | 2.208164319091 | 1.877476912731e-49 |
| 1.50432 | 2.207496205961 | 3.355794047803e-48 |
| 1.52174 | 2.2068304535 | 5.58690070787e-47 |
| 1.53936 | 2.206166669522 | 8.678218464445e-46 |
| 1.55718 | 2.205504463934 | 1.259755576633e-44 |
| 1.57522 | 2.20484344834 | 1.711723788445e-43 |
| 1.59346 | 2.204183235747 | 2.180480652957e-42 |
| 1.61191 | 2.203523440382 | 2.60798837123e-41 |
| 1.63057 | 2.202863677397 | 2.933203758163e-40 |
| 1.64945 | 2.202203562381 | 3.106670877127e-39 |
| 1.66855 | 2.20154271143 | 3.103010559037e-38 |
| 1.68787 | 2.200880740484 | 2.926917323359e-37 |
| 1.70742 | 2.200217265176 | 2.610760423086e-36 |
| 1.72719 | 2.199551900852 | 2.205105691478e-35 |
| 1.74719 | 2.198884261653 | 1.765877979746e-34 |
| 1.76742 | 2.198213960892 | 1.342489335462e-33 |
| 1.78789 | 2.197540610365 | 9.701012572791e-33 |
| 1.80859 | 2.196863820189 | 6.671201627842e-32 |
| 1.82953 | 2.196183198497 | 4.371035626909e-31 |
| 1.85072 | 2.195498351185 | 2.731860304788e-30 |
| 1.87215 | 2.194808881521 | 1.630479808866e-29 |
| 1.89383 | 2.194114390094 | 9.303207614973e-29 |
| 1.91575 | 2.193414474335 | 5.080152956541e-28 |
| 1.93794 | 2.192708728035 | 2.657683298022e-27 |
| 1.96038 | 2.191996741374 | 1.333389383747e-26 |
| 1.98308 | 2.19127810071 | 6.422035224131e-26 |
| 2.00604 | 2.190552387733 | 2.972177670205e-25 |
| 2.02927 | 2.189819179683 | 1.323054756541e-24 |
| 2.05277 | 2.189078048734 | 5.670048126386e-24 |
| 2.07654 | 2.188328561799 | 2.34151535743e-23 |
| 2.10058 | 2.187570280268 | 9.325987994913e-23 |
| 2.12491 | 2.186802759441 | 3.585564120945e-22 |
| 2.14951 | 2.186025548205 | 1.331843982436e-21 |
| 2.1744 | 2.185238189146 | 4.78346109066e-21 |
| 2.19958 | 2.184440217475 | 1.662553323931e-20 |
| 2.22505 | 2.183631161417 | 5.596243043091e-20 |
| 2.25082 | 2.182810540893 | 1.825746085083e-19 |
| 2.27688 | 2.181977868299 | 5.777425580274e-19 |
| 2.30324 | 2.181132646964 | 1.774590708979e-18 |
| 2.32991 | 2.180274371785 | 5.294733679569e-18 |
| 2.35689 | 2.179402527905 | 1.535596161071e-17 |
| 2.38418 | 2.178516590578 | 4.332062022788e-17 |
| 2.41179 | 2.177616025185 | 1.189564139258e-16 |
| 2.43972 | 2.176700286413 | 3.181563521529e-16 |
| 2.46797 | 2.175768817154 | 8.293354056777e-16 |
| 2.49655 | 2.17482104967 | 2.108276282108e-15 |
| 2.52546 | 2.17385640341 | 5.229943956194e-15 |
| 2.5547 | 2.172874284449 | 1.266767835067e-14 |
| 2.58428 | 2.171874087349 | 2.997641734966e-14 |
| 2.61421 | 2.170855190839 | 6.934121394876e-14 |
| 2.64448 | 2.169816961244 | 1.568818476995e-13 |
| 2.6751 | 2.168758747935 | 3.473428564036e-13 |
| 2.70608 | 2.167679885944 | 7.52970272321e-13 |
| 2.73741 | 2.166579693145 | 1.599024236313e-12 |
| 2.76911 | 2.165457471194 | 3.32819473591e-12 |
| 2.80117 | 2.164312503651 | 6.792856613903e-12 |
| 2.83361 | 2.163144055373 | 1.360174868453e-11 |
| 2.86642 | 2.161951371125 | 2.673248092248e-11 |
| 2.89961 | 2.160733677014 | 5.159229565561e-11 |
| 2.93319 | 2.159490177618 | 9.781955308371e-11 |
| 2.96715 | 2.158220054002 | 1.822851647535e-10 |
| 3.00151 | 2.156922466498 | 3.340003590604e-10 |
| 3.03627 | 2.155596549098 | 6.01995530736e-10 |
| 3.07142 | 2.154241413006 | 1.067743241522e-09 |
| 3.10699 | 2.152856140345 | 1.864403765208e-09 |
| 3.14297 | 2.151439788304 | 3.206128818803e-09 |
| 3.17936 | 2.149991382114 | 5.431929591202e-09 |
| 3.21618 | 2.148509919573 | 9.070263360323e-09 |
| 3.25342 | 2.146994363564 | 1.493258209871e-08 |
| 3.29109 | 2.145443644597 | 2.424667118043e-08 |
| 3.3292 | 2.143856656977 | 3.884372491267e-08 |
| 3.36775 | 2.142232257824 | 6.141676856835e-08 |
| 3.40675 | 2.140569264388 | 9.587221609865e-08 |
| 3.4462 | 2.138866450618 | 1.478009697906e-07 |
| 3.4861 | 2.137122547988 | 2.251003818011e-07 |
| 3.52647 | 2.135336237118 | 3.387833984359e-07 |
| 3.5673 | 2.133506150917 | 5.040160043273e-07 |
| 3.60861 | 2.131630870361 | 7.414283210662e-07 |
| 3.6504 | 2.129708915143 | 1.078747957672e-06 |
| 3.69266 | 2.127738748988 | 1.552805965082e-06 |
| 3.73542 | 2.125718771174 | 2.21196553205e-06 |
| 3.77868 | 2.123647316232 | 3.119020809095e-06 |
| 3.82243 | 2.121522643638 | 4.354607552685e-06 |
| 3.86669 | 2.119342944965 | 6.021158132235e-06 |
| 3.91147 | 2.117106332621 | 8.247420768644e-06 |
| 3.95676 | 2.114810843988 | 1.11935462475e-05 |
| 4.00258 | 2.112454429824 | 1.505672530309e-05 |
| 4.04893 | 2.110034960202 | 2.007733611683e-05 |
| 4.09581 | 2.107550222912 | 2.654553521519e-05 |
| 4.14324 | 2.104997923931 | 3.480819661476e-05 |
| 4.19121 | 2.102375679734 | 4.527607499204e-05 |
| 4.23975 | 2.099681031329 | 5.84310389889e-05 |
| 4.28884 | 2.09691144301 | 7.483319425132e-05 |
| 4.3385 | 2.094064300247 | 9.512769104064e-05 |
| 4.38874 | 2.091136921126 | 0.0001200509907938 |
| 4.43956 | 2.088126565824 | 0.0001504363526424 |
| 4.49097 | 2.085030431982 | 0.0001872182948226 |
| 4.54297 | 2.081845680664 | 0.0002314357827229 |
| 4.59558 | 2.078569430806 | 0.0002842339119553 |
| 4.64879 | 2.075198777169 | 0.0003468638651724 |
| 4.70262 | 2.071730789457 | 0.0004206809568658 |
| 4.75707 | 2.068162539639 | 0.0005071406048661 |
| 4.81216 | 2.064491104546 | 0.0006077921246512 |
| 4.86788 | 2.060713563595 | 0.0007242702847846 |
| 4.92425 | 2.056827023254 | 0.0008582846057333 |
| 4.98127 | 2.05282861603 | 0.001011606465243 |
| 5.03895 | 2.048715505819 | 0.001186054111524 |
| 5.0973 | 2.044484890325 | 0.001383475753097 |
| 5.15632 | 2.040133996565 | 0.001605730950764 |
| 5.21603 | 2.035660092842 | 0.001854670567058 |
| 5.27643 | 2.03106046492 | 0.002132115628305 |
| 5.33752 | 2.026332427851 | 0.002439835398735 |
| 5.39933 | 2.021473270444 | 0.002779525150979 |
| 5.46185 | 2.01648029117 | 0.00315278386389 |
| 5.5251 | 2.011350749904 | 0.003561092448525 |
| 5.58907 | 2.006081840643 | 0.00400579280992 |
| 5.65379 | 2.000670671899 | 0.004488068142437 |
| 5.71926 | 1.995114220279 | 0.005008924904444 |
| 5.78549 | 1.989409307719 | 0.005569176724144 |
| 5.85248 | 1.983552570842 | 0.006169430595206 |
| 5.92025 | 1.977540383211 | 0.006810075771741 |
| 5.9888 | 1.97136882437 | 0.007491275332612 |
| 6.05815 | 1.965033648862 | 0.008212960664867 |
| 6.1283 | 1.958530201734 | 0.00897482921165 |
| 6.19926 | 1.951853362377 | 0.009776345278418 |
| 6.27104 | 1.944997516101 | 0.01061674382679 |
| 6.34366 | 1.93795644939 | 0.0114950377311 |
| 6.41712 | 1.930723293665 | 0.01241002784941 |
| 6.49142 | 1.923290444695 | 0.01336031612631 |
| 6.56659 | 1.915649514029 | 0.01434432123496 |
| 6.64263 | 1.907791208756 | 0.01536029730922 |
| 6.71955 | 1.899705285636 | 0.01640635465115 |
| 6.79735 | 1.891380343812 | 0.01748048424124 |
| 6.87606 | 1.882803847713 | 0.01858058298713 |
| 6.95568 | 1.873961913301 | 0.01970448403563 |
| 7.03623 | 1.864839216777 | 0.02084999009413 |
| 7.1177 | 1.855418767421 | 0.02201491399349 |
| 7.20012 | 1.845681763417 | 0.02319712733081 |
| 7.2835 | 1.835607307262 | 0.02439462449356 |
| 7.36783 | 1.825172238879 | 0.02560560637713 |
| 7.45315 | 1.814350728552 | 0.02682859904777 |
| 7.53945 | 1.803113850766 | 0.02806261998675 |
| 7.62676 | 1.791429240641 | 0.02930741032572 |
| 7.71507 | 1.779260609019 | 0.03056376220324 |
| 7.80441 | 1.76656705638 | 0.03183397491715 |
| 7.89478 | 1.753302489769 | 0.03312247285743 |
| 7.98619 | 1.739414939799 | 0.03443663067431 |
| 8.07867 | 1.724846043697 | 0.03578784509663 |
| 8.17222 | 1.709530221053 | 0.03719290588596 |
| 8.26685 | 1.693394410022 | 0.03867568647958 |
| 8.36257 | 1.676357566059 | 0.0402691977824 |
| 8.45941 | 1.658330903882 | 0.04201799630214 |
| 8.55736 | 1.639218227911 | 0.04398095356699 |
| 8.65645 | 1.618916966322 | 0.04623434372727 |
| 8.75669 | 1.597319697675 | 0.04887520251082 |
| 8.85809 | 1.574316729462 | 0.05202486840909 |
| 8.96066 | 1.549799562768 | 0.05583261530344 |
| 9.06442 | 1.52366483322 | 0.06047928230034 |
| 9.16938 | 1.495820478562 | 0.06618071128706 |
| 9.27555 | 1.466192612342 | 0.0731908813976 |
| 9.38296 | 1.434734005548 | 0.08180450064136 |
| 9.49161 | 1.401435563484 | 0.09235865248867 |
| 9.60152 | 1.366339009152 | 0.1052330411591 |
| 9.7127 | 1.329554236637 | 0.1208476921394 |
| 9.82517 | 1.291279063496 | 0.1396566048618 |
| 9.93894 | 1.251824586138 | 0.16213437234 |
| 10.054 | 1.211641654503 | 0.1887518937833 |
| 10.1704 | 1.171348961044 | 0.2199351407604 |
| 10.2882 | 1.131749913569 | 0.2560018088598 |
| 10.4073 | 1.093825089871 | 0.2970740951884 |
| 10.5279 | 1.058677361964 | 0.3429783937082 |
| 10.6498 | 1.027413175057 | 0.3931626475939 |
| 10.7731 | 1.000968161809 | 0.4466791404985 |
| 10.8978 | 0.9799285865029 | 0.5022696942458 |
| 11.024 | 0.9644177981304 | 0.5585451611394 |
| 11.1517 | 0.9540983799398 | 0.6141934078187 |
| 11.2808 | 0.9482740047453 | 0.6681397039633 |
| 11.4114 | 0.9460321097938 | 0.7196226982742 |
| 11.5436 | 0.9463742357655 | 0.7681956451501 |
| 11.6772 | 0.9483062032748 | 0.8136876010075 |
| 11.8124 | 0.9508914429054 | 0.8561518609569 |
| 11.9492 | 0.953275459254 | 0.895821157937 |
| 12.0876 | 0.9546944577788 | 0.9330754556738 |
| 12.2276 | 0.9544804421608 | 0.9684196090421 |
| 12.3692 | 0.9520638106326 | 1.002473524334 |
| 12.5124 | 0.9469822802444 | 1.035967632915 |
| 12.6573 | 0.9388974470574 | 1.069742108979 |
| 12.8038 | 0.9276208809744 | 1.104746707229 |
| 12.9521 | 0.9131536974586 | 1.142033070566 |
| 13.1021 | 0.8957386173739 | 1.182731293649 |
| 13.2538 | 0.8759171821884 | 1.228002198291 |
| 13.4073 | 0.854583045809 | 1.278949185935 |
| 13.5625 | 0.8330025313345 | 1.336494778916 |
| 13.7196 | 0.8127786393695 | 1.401232782746 |
| 13.8784 | 0.7957433383819 | 1.473286654584 |
| 14.0391 | 0.7837824944208 | 1.552222964732 |
| 14.2017 | 0.7786310698319 | 1.637049524069 |
| 14.3661 | 0.7816886288938 | 1.726296345057 |
| 14.5325 | 0.7938875805933 | 1.818162309466 |
| 14.7008 | 0.8156311503043 | 1.910682749553 |
| 14.871 | 0.846791103433 | 2.001894370521 |
| 15.0432 | 0.8867505332239 | 2.089981262852 |
| 15.2174 | 0.9344801081949 | 2.173390625071 |
| 15.3936 | 0.9886350906376 | 2.250922729746 |
| 15.5718 | 1.047668369525 | 2.321787835396 |
| 15.7522 | 1.10995047093 | 2.38563381312 |
| 15.9346 | 1.173890476093 | 2.442540069755 |
| 16.1191 | 1.238050108022 | 2.492977037749 |
| 16.3057 | 1.301239945394 | 2.537738878028 |
| 16.4945 | 1.362591575966 | 2.577850407047 |
| 16.6855 | 1.421598016771 | 2.614458726667 |
| 16.8787 | 1.47811844261 | 2.648720056004 |
| 17.0742 | 1.532348992941 | 2.681690079921 |
| 17.2719 | 1.584760083596 | 2.71423631272 |
| 17.4719 | 1.636011754643 | 2.746976272921 |
| 17.6742 | 1.68685859137 | 2.780247719138 |
| 17.8789 | 1.738054652413 | 2.814115801292 |
| 18.0859 | 1.790274268637 | 2.848405602519 |
| 18.2953 | 1.844051379484 | 2.882760697854 |
| 18.5072 | 1.899749111013 | 2.916704040983 |
| 18.7215 | 1.957549296178 | 2.949705883614 |
| 18.9383 | 2.017465297875 | 2.981238260629 |
| 19.1575 | 2.07936605524 | 3.01082032565 |
| 19.3794 | 2.14301059337 | 3.038044330305 |
| 19.6038 | 2.208079583608 | 3.062594769124 |
| 19.8308 | 2.274209291497 | 3.084249445784 |
| 20.0604 | 2.341016770645 | 3.102878067147 |
| 20.2927 | 2.408121187933 | 3.118432790568 |
| 20.5277 | 2.475159382565 | 3.130935997623 |
| 20.7654 | 2.541796197234 | 3.140467279184 |
| 21.0058 | 2.607730064397 | 3.147151452502 |
| 21.2491 | 2.672694612584 | 3.151148601428 |
| 21.4951 | 2.736459760542 | 3.152643529578 |
| 21.744 | 2.79882945269 | 3.151839257388 |
| 21.9958 | 2.859639695446 | 3.148950906427 |
| 22.2505 | 2.918755716835 | 3.144201886023 |
| 22.5082 | 2.976069341316 | 3.13782136768 |
| 22.7688 | 3.031496790535 | 3.130042939026 |
| 23.0324 | 3.084977165983 | 3.121104156093 |
| 23.2991 | 3.136471804724 | 3.111246686906 |
| 23.5689 | 3.185964635502 | 3.10071671095 |
| 23.8418 | 3.233463590477 | 3.089765209515 |
| 24.1179 | 3.279003040422 | 3.078647757431 |
| 24.3972 | 3.322647115118 | 3.067623417028 |
| 24.6797 | 3.364493647466 | 3.056952351812 |
| 24.9655 | 3.404678346641 | 3.046891832093 |
| 25.2546 | 3.443378675388 | 3.037690406961 |
| 25.547 | 3.480816797562 | 3.029580171463 |
| 25.8428 | 3.51726089616 | 3.022767262178 |
| 26.1421 | 3.553024162446 | 3.017420956882 |
| 26.4448 | 3.588460843473 | 3.013662012305 |
| 26.751 | 3.623958920707 | 3.011551115067 |
| 27.0608 | 3.659929275197 | 3.011078504385 |
| 27.3741 | 3.696791555549 | 3.012155908652 |
| 27.6911 | 3.734957364483 | 3.014611886653 |
| 28.0117 | 3.77481176191 | 3.018191460282 |
| 28.3361 | 3.816694382996 | 3.022560577903 |
| 28.6642 | 3.860881630257 | 3.027315494249 |
| 28.9961 | 3.907571381476 | 3.031996657757 |
| 29.3319 | 3.956871454609 | 3.036106236136 |
| 29.6715 | 4.008792716539 | 3.039128057729 |
| 30.0151 | 4.063247273123 | 3.040548550487 |
| 30.3627 | 4.120051705977 | 3.039877240437 |
| 30.7142 | 4.178934896271 | 3.036665512373 |
| 31.0699 | 4.239549649002 | 3.030522596465 |
| 31.4297 | 4.301487129144 | 3.021128072063 |
| 31.7936 | 4.364293044753 | 3.008240521251 |
| 32.1618 | 4.427484543735 | 2.991702277301 |
| 32.5342 | 4.490566901842 | 2.971440469662 |
| 32.9109 | 4.553049238656 | 2.947464755552 |
| 33.292 | 4.614458678079 | 2.919862248611 |
| 33.6775 | 4.674352548925 | 2.888790215463 |
| 34.0675 | 4.732328385473 | 2.854467123298 |
| 34.462 | 4.788031629355 | 2.817162598249 |
| 34.861 | 4.841161049846 | 2.777186807175 |
| 35.2647 | 4.891471989749 | 2.734879713723 |
| 35.673 | 4.938777610537 | 2.690600590761 |
| 36.0861 | 4.982948356254 | 2.644718100632 |
| 36.504 | 5.023909884073 | 2.597601185792 |
| 36.9266 | 5.061639723405 | 2.549610947724 |
| 37.3542 | 5.096162927898 | 2.501093632816 |
| 37.7868 | 5.127546977957 | 2.452374791174 |
| 38.2243 | 5.15589617764 | 2.403754628213 |
| 38.6669 | 5.181345770693 | 2.35550452966 |
| 39.1147 | 5.204055977637 | 2.307864707938 |
| 39.5676 | 5.224206130336 | 2.261042891695 |
| 40.0258 | 5.241989053546 | 2.215213960134 |
| 40.4893 | 5.257605815462 | 2.170520409366 |
| 40.9581 | 5.271260941919 | 2.127073528833 |
| 41.4324 | 5.283158162559 | 2.084955161578 |
| 41.9121 | 5.293496732333 | 2.044219922093 |
| 42.3975 | 5.302468348796 | 2.004897749309 |
| 42.8884 | 5.310254665198 | 1.96699667936 |
| 43.385 | 5.317025381572 | 1.930505732425 |
| 43.8874 | 5.322936881323 | 1.895397819707 |
| 44.3956 | 5.328131369104 | 1.861632589745 |
| 44.9097 | 5.332736457223 | 1.829159147185 |
| 45.4297 | 5.336865142278 | 1.797918591231 |
| 45.9558 | 5.340616110967 | 1.76784633482 |
| 46.4879 | 5.344074313772 | 1.738874178517 |
| 47.0262 | 5.347311747137 | 1.710932124915 |
| 47.5707 | 5.350388388463 | 1.683949929705 |
| 48.1216 | 5.353353233135 | 1.657858394268 |
| 48.6788 | 5.356245388828 | 1.632590411663 |
| 49.2425 | 5.359095188596 | 1.608081783217 |
| 49.8127 | 5.36192529091 | 1.584271826681 |
| 50.3895 | 5.364751741184 | 1.561103799161 |
| 50.973 | 5.367584975408 | 1.53852515911 |
| 51.5632 | 5.370430751986 | 1.516487691648 |
| 52.1603 | 5.373291002814 | 1.494947520597 |
| 52.7643 | 5.376164598715 | 1.473865029209 |
| 53.3752 | 5.379048027878 | 1.453204709613 |
| 53.9933 | 5.381935988597 | 1.43293495889 |
| 54.6185 | 5.384821899831 | 1.413027837382 |
| 55.251 | 5.387698334536 | 1.39345880257 |
| 55.8907 | 5.390557381802 | 1.374206429648 |
| 56.5379 | 5.3933909444 | 1.355252127879 |
| 57.1926 | 5.396190978633 | 1.336579859925 |
| 57.8549 | 5.398949683345 | 1.318175869708 |
| 58.5248 | 5.401659644747 | 1.300028422891 |
| 59.2025 | 5.404313943342 | 1.282127562852 |
| 59.888 | 5.406906228764 | 1.264464884007 |
| 60.5815 | 5.409430767835 | 1.247033323475 |
| 61.283 | 5.411882470615 | 1.229826971433 |
| 61.9926 | 5.414256898603 | 1.212840899985 |
| 62.7104 | 5.416550258788 | 1.196071009978 |
| 63.4366 | 5.418759386705 | 1.179513894914 |
| 64.1712 | 5.420881721181 | 1.163166720915 |
| 64.9142 | 5.422915273047 | 1.147027121586 |
| 65.6659 | 5.424858589675 | 1.131093106561 |
| 66.4263 | 5.426710716954 | 1.115362982474 |
| 67.1955 | 5.428471159852 | 1.099835285166 |
| 67.9735 | 5.430139842651 | 1.084508721938 |
| 68.7606 | 5.431717069593 | 1.069382122739 |
| 69.5568 | 5.433203486566 | 1.054454399245 |
| 70.3623 | 5.434600044193 | 1.039724510891 |
| 71.177 | 5.435907962762 | 1.02519143694 |
| 72.0012 | 5.437128699077 | 1.010854153827 |
| 72.835 | 5.438263915497 | 0.9967116170379 |
| 73.6783 | 5.439315451071 | 0.9827627468928 |
| 74.5315 | 5.440285294925 | 0.9690064176622 |
| 75.3945 | 5.441175561776 | 0.9554414495098 |
| 76.2676 | 5.441988469535 | 0.9420666028263 |
| 77.1507 | 5.442726318948 | 0.9288805745607 |
| 78.0441 | 5.443391475126 | 0.9158819962193 |
| 78.9478 | 5.443986350896 | 0.9030694332379 |
| 79.8619 | 5.44451339185 | 0.8904413854747 |
| 80.7867 | 5.444975062964 | 0.8779962886115 |
| 81.7222 | 5.445373836698 | 0.8657325162756 |
| 82.6685 | 5.445712182421 | 0.8536483827284 |
| 83.6257 | 5.445992557111 | 0.8417421459835 |
| 84.5941 | 5.446217397166 | 0.8300120112459 |
| 85.5736 | 5.446389111287 | 0.8184561345726 |
| 86.5645 | 5.446510074272 | 0.8070726266842 |
| 87.5669 | 5.446582621704 | 0.7958595568518 |
| 88.5809 | 5.446609045387 | 0.7848149568158 |
| 89.6066 | 5.446591589521 | 0.7739368246815 |
| 90.6442 | 5.446532447486 | 0.7632231287664 |
| 91.6938 | 5.446433759184 | 0.7526718113671 |
| 92.7555 | 5.446297608953 | 0.7422807924149 |
| 93.8296 | 5.446126023865 | 0.7320479730187 |
| 94.9161 | 5.445920972475 | 0.7219712388705 |
| 96.0152 | 5.445684363952 | 0.7120484635032 |
| 97.127 | 5.445418047465 | 0.7022775114076 |
| 98.2517 | 5.445123811945 | 0.6926562409841 |
| 99.3894 | 5.444803386023 | 0.6831825073484 |
| 100.54 | 5.444458438252 | 0.6738541649728 |
| 101.704 | 5.444090577472 | 0.6646690701795 |
| 102.882 | 5.443701353388 | 0.6556250834752 |
| 104.073 | 5.443292257258 | 0.6467200717414 |
| 105.279 | 5.442864722778 | 0.6379519102698 |
| 106.498 | 5.442420126984 | 0.6293184846673 |
| 107.731 | 5.44195979129 | 0.6208176926198 |
| 108.978 | 5.441484982646 | 0.6124474455179 |
| 110.24 | 5.440996914693 | 0.6042056699653 |
| 111.517 | 5.440496749042 | 0.5960903091576 |
| 112.808 | 5.439985596496 | 0.5880993241556 |
| 114.114 | 5.439464518422 | 0.5802306950364 |
| 115.436 | 5.438934528066 | 0.5724824219467 |
| 116.772 | 5.438396591921 | 0.5648525260548 |
| 118.124 | 5.4378516311 | 0.5573390504059 |
| 119.492 | 5.437300522726 | 0.5499400606887 |
| 120.876 | 5.436744101263 | 0.542653645922 |
| 122.276 | 5.43618315994 | 0.5354779190517 |
| 123.692 | 5.43561845209 | 0.528411017481 |
| 125.124 | 5.435050692497 | 0.5214511035262 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
- —
- Reflectance R
- —
Fresnel reflection calculator
- Rp
- —
- Rs
- —
- R = (Rp+Rs)/2
- —
- Phase φp
- —
- Phase φs
- —
- Brewster angle θB
- —
- Critical angle θC
- —
Film TiO2; Deposited by e-beam evaporation on c-Si; 99.6 nm thick film with an amorphous (very fine polycrystalline) structure; Heterogenous data processing combining ellipsometric and spectrophotometric measurements; Room temperature.