Optical constants
Refractive index of Al2O3 (Aluminium sesquioxide, Sapphire, Alumina)
Franta et al. 2015: 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
- 1.65371
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.73476
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0561219 µm⁻¹
- Group index ng
- 1.68669
- 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
# Al2O3 (Aluminium sesquioxide, Sapphire, Alumina): Franta et al. 2015: n,k 0.114–125 µm
al2o3 = ls.fetch_refractiveindex("main", "Al2O3", "Franta", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(al2o3.range_nm) # (114.114, 125124) nm
eps = al2o3.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_39816b6e6c5a/lightsmith"
al2o3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(al2o3.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (al2o3/franta-2015).
# ... load al2o3 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=al2o3)],
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
- 121.5e-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 | 1.71641396175 | 0.830322020891 |
| 0.115436 | 1.74212503575 | 0.820401717377 |
| 0.116772 | 1.76726883938 | 0.809259258029 |
| 0.118124 | 1.79178460492 | 0.796938431612 |
| 0.119492 | 1.81561425741 | 0.783484961669 |
| 0.120876 | 1.8387024606 | 0.768946505218 |
| 0.122276 | 1.860996674 | 0.75337261856 |
| 0.123692 | 1.8824472136 | 0.736814695028 |
| 0.125124 | 1.90300731054 | 0.719325879451 |
| 0.126573 | 1.92263316315 | 0.70096096402 |
| 0.128038 | 1.94128397903 | 0.68177627021 |
| 0.129521 | 1.95892200453 | 0.661829521331 |
| 0.131021 | 1.97551254049 | 0.641179710175 |
| 0.132538 | 1.99102394315 | 0.619886966075 |
| 0.134073 | 2.00542761056 | 0.59801242552 |
| 0.135625 | 2.01869795517 | 0.575618110251 |
| 0.137196 | 2.03081236391 | 0.552766816519 |
| 0.138784 | 2.04175114764 | 0.529522018932 |
| 0.140391 | 2.05149748263 | 0.505947792048 |
| 0.142017 | 2.06003734671 | 0.482108752591 |
| 0.143661 | 2.06735945368 | 0.458070024952 |
| 0.145325 | 2.07345518974 | 0.433897232363 |
| 0.147008 | 2.07831855638 | 0.409656515969 |
| 0.14871 | 2.0819461244 | 0.385414583864 |
| 0.150432 | 2.08433700487 | 0.361238792025 |
| 0.152174 | 2.08549284308 | 0.33719725907 |
| 0.153936 | 2.08541784277 | 0.313359016716 |
| 0.155718 | 2.08411882936 | 0.289794197889 |
| 0.157522 | 2.0816053621 | 0.266574264538 |
| 0.159346 | 2.07788990771 | 0.243772277304 |
| 0.161191 | 2.07298809081 | 0.221463209367 |
| 0.163057 | 2.06691904054 | 0.19972430688 |
| 0.164945 | 2.05970585819 | 0.178635498445 |
| 0.166855 | 2.05137623855 | 0.158279855961 |
| 0.168787 | 2.04196328824 | 0.13874410874 |
| 0.170742 | 2.03150660034 | 0.120119211894 |
| 0.172719 | 2.02005366785 | 0.102500968288 |
| 0.174719 | 2.00766175454 | 0.0859907004108 |
| 0.176742 | 1.99440039974 | 0.0706959635775 |
| 0.178789 | 1.9803548318 | 0.0567312838535 |
| 0.180859 | 1.96563074312 | 0.0442188910223 |
| 0.182953 | 1.95036123254 | 0.0332893957207 |
| 0.185072 | 1.93471750243 | 0.0240823245379 |
| 0.187215 | 1.91892692012 | 0.0167463648823 |
| 0.189383 | 1.90330866808 | 0.0114390484951 |
| 0.191575 | 1.88837089746 | 0.00832526789149 |
| 0.193794 | 1.87529027928 | 0.00717758246872 |
| 0.196038 | 1.86408979916 | 0.00634617398311 |
| 0.198308 | 1.8540109281 | 0.00561744826756 |
| 0.200604 | 1.84478822804 | 0.00497860014353 |
| 0.202927 | 1.83626784108 | 0.00441813714626 |
| 0.205277 | 1.82834494724 | 0.0039259672402 |
| 0.207654 | 1.82094198523 | 0.00349329524526 |
| 0.210058 | 1.81399853725 | 0.00311248116111 |
| 0.212491 | 1.80746585349 | 0.00277689779269 |
| 0.214951 | 1.80130357949 | 0.00248079914756 |
| 0.21744 | 1.79547765679 | 0.00221920287479 |
| 0.219958 | 1.78995890241 | 0.00198778699414 |
| 0.222505 | 1.78472200607 | 0.00178280000176 |
| 0.225082 | 1.77974479787 | 0.00160098302863 |
| 0.227688 | 1.77500769806 | 0.00143950264248 |
| 0.230324 | 1.77049329364 | 0.00129589294046 |
| 0.232991 | 1.76618600596 | 0.00116800569519 |
| 0.235689 | 1.76207182525 | 0.0010539674511 |
| 0.238418 | 1.75813809524 | 0.000952142602736 |
| 0.241179 | 1.75437333637 | 0.000861101613176 |
| 0.243972 | 1.75076709874 | 0.000779593644605 |
| 0.246797 | 1.74730983889 | 0.000706522974763 |
| 0.249655 | 1.74399281529 | 0.000640928661335 |
| 0.252546 | 1.74080799934 | 0.000581966993282 |
| 0.25547 | 1.73774799875 | 0.000528896334345 |
| 0.258428 | 1.73480599146 | 0.000481064020923 |
| 0.261421 | 1.73197566801 | 0.000437895025256 |
| 0.264448 | 1.72925118136 | 0.000398882136613 |
| 0.26751 | 1.72662710271 | 0.000363577448808 |
| 0.270608 | 1.72409838264 | 0.000331584972807 |
| 0.273741 | 1.72166031669 | 0.00030255421919 |
| 0.276911 | 1.71930851479 | 0.000276174617368 |
| 0.280117 | 1.71703887405 | 0.000252170657433 |
| 0.283361 | 1.71484755444 | 0.000230297656639 |
| 0.286642 | 1.712730957 | 0.000210338066339 |
| 0.289961 | 1.71068570425 | 0.000192098247011 |
| 0.293319 | 1.70870862257 | 0.00017540564908 |
| 0.296715 | 1.70679672628 | 0.0001601063459 |
| 0.300151 | 1.70494720322 | 0.000146062872643 |
| 0.303627 | 1.70315740171 | 0.000133152331193 |
| 0.307142 | 1.70142481869 | 0.000121264726567 |
| 0.310699 | 1.6997470889 | 0.00011030150508 |
| 0.314297 | 1.69812197502 | 0.000100174268456 |
| 0.317936 | 1.69654735868 | 9.08036415495e-05 |
| 0.321618 | 1.69502123222 | 8.21182743144e-05 |
| 0.325342 | 1.69354169107 | 7.40539612115e-05 |
| 0.329109 | 1.69210692681 | 6.65528634529e-05 |
| 0.33292 | 1.69071522072 | 5.95628213861e-05 |
| 0.336775 | 1.68936493781 | 5.30367459671e-05 |
| 0.340675 | 1.68805452127 | 4.69320796938e-05 |
| 0.34462 | 1.68678248723 | 4.12103186029e-05 |
| 0.34861 | 1.68554741983 | 3.58365879986e-05 |
| 0.352647 | 1.6843479664 | 3.07792655105e-05 |
| 0.35673 | 1.68318283265 | 2.60096458753e-05 |
| 0.360861 | 1.68205077764 | 2.15016425402e-05 |
| 0.36504 | 1.68095060788 | 1.72315217854e-05 |
| 0.369266 | 1.67988116941 | 1.31776655932e-05 |
| 0.373542 | 1.67884133448 | 9.32035994093e-06 |
| 0.377868 | 1.67782997092 | 5.64160557257e-06 |
| 0.382243 | 1.67684582596 | 2.12494853811e-06 |
| 0.386669 | 1.6758868487 | 0.0 |
| 0.391147 | 1.67495556877 | 0.0 |
| 0.395676 | 1.67405035353 | 0.0 |
| 0.400258 | 1.67316994286 | 0.0 |
| 0.404893 | 1.67231338073 | 0.0 |
| 0.409581 | 1.6714798158 | 0.0 |
| 0.414324 | 1.67066845827 | 0.0 |
| 0.419121 | 1.66987856361 | 0.0 |
| 0.423975 | 1.66910942439 | 0.0 |
| 0.428884 | 1.66836036539 | 0.0 |
| 0.43385 | 1.66763074035 | 0.0 |
| 0.438874 | 1.66691992947 | 0.0 |
| 0.443956 | 1.66622733748 | 0.0 |
| 0.449097 | 1.66555239204 | 0.0 |
| 0.454297 | 1.66489454234 | 0.0 |
| 0.459558 | 1.66425325787 | 0.0 |
| 0.464879 | 1.6636280273 | 0.0 |
| 0.470262 | 1.66301835754 | 0.0 |
| 0.475707 | 1.66242377277 | 0.0 |
| 0.481216 | 1.66184381363 | 0.0 |
| 0.486788 | 1.66127803642 | 0.0 |
| 0.492425 | 1.66072601239 | 0.0 |
| 0.498127 | 1.66018732702 | 0.0 |
| 0.503895 | 1.65966157944 | 0.0 |
| 0.50973 | 1.65914838177 | 0.0 |
| 0.515632 | 1.65864735857 | 0.0 |
| 0.521603 | 1.65815814632 | 0.0 |
| 0.527643 | 1.65768039289 | 0.0 |
| 0.533752 | 1.65721375709 | 0.0 |
| 0.539933 | 1.65675790817 | 0.0 |
| 0.546185 | 1.65631252542 | 0.0 |
| 0.55251 | 1.65587729777 | 0.0 |
| 0.558907 | 1.65545192335 | 0.0 |
| 0.565379 | 1.65503610916 | 0.0 |
| 0.571926 | 1.65462957072 | 0.0 |
| 0.578549 | 1.6542320317 | 0.0 |
| 0.585248 | 1.65384322362 | 0.0 |
| 0.592025 | 1.65346288551 | 0.0 |
| 0.59888 | 1.65309076369 | 0.0 |
| 0.605815 | 1.65272661139 | 0.0 |
| 0.61283 | 1.65237018855 | 0.0 |
| 0.619926 | 1.65202126156 | 0.0 |
| 0.627104 | 1.65167960296 | 0.0 |
| 0.634366 | 1.65134499126 | 0.0 |
| 0.641712 | 1.65101721068 | 0.0 |
| 0.649142 | 1.65069605095 | 0.0 |
| 0.656659 | 1.65038130709 | 0.0 |
| 0.664263 | 1.65007277919 | 0.0 |
| 0.671955 | 1.64977027228 | 0.0 |
| 0.679735 | 1.64947359606 | 0.0 |
| 0.687606 | 1.64918256479 | 0.0 |
| 0.695568 | 1.64889699706 | 0.0 |
| 0.703623 | 1.64861671567 | 0.0 |
| 0.71177 | 1.64834154746 | 0.0 |
| 0.720012 | 1.64807132313 | 0.0 |
| 0.72835 | 1.64780587709 | 0.0 |
| 0.736783 | 1.64754504739 | 0.0 |
| 0.745315 | 1.64728867545 | 0.0 |
| 0.753945 | 1.64703660606 | 0.0 |
| 0.762676 | 1.64678868714 | 0.0 |
| 0.771507 | 1.64654476968 | 0.0 |
| 0.780441 | 1.6463047076 | 0.0 |
| 0.789478 | 1.64606835762 | 0.0 |
| 0.798619 | 1.64583557915 | 0.0 |
| 0.807867 | 1.64560623418 | 0.0 |
| 0.817222 | 1.64538018719 | 0.0 |
| 0.826685 | 1.645157305 | 0.0 |
| 0.836257 | 1.64493745669 | 0.0 |
| 0.845941 | 1.64472051354 | 0.0 |
| 0.855736 | 1.64450634885 | 0.0 |
| 0.865645 | 1.64429483791 | 0.0 |
| 0.875669 | 1.64408585788 | 0.0 |
| 0.885809 | 1.64387928771 | 0.0 |
| 0.896066 | 1.64367500806 | 0.0 |
| 0.906442 | 1.64347290116 | 0.0 |
| 0.916938 | 1.64327285081 | 0.0 |
| 0.927555 | 1.64307474222 | 0.0 |
| 0.938296 | 1.64287846198 | 0.0 |
| 0.949161 | 1.64268389796 | 0.0 |
| 0.960152 | 1.64249093921 | 0.0 |
| 0.97127 | 1.64229947595 | 0.0 |
| 0.982517 | 1.64210939939 | 0.0 |
| 0.993894 | 1.6419206018 | 0.0 |
| 1.0054 | 1.64173297623 | 0.0 |
| 1.01704 | 1.6415464167 | 0.0 |
| 1.02882 | 1.64136081789 | 0.0 |
| 1.04073 | 1.64117607519 | 0.0 |
| 1.05279 | 1.64099208463 | 0.0 |
| 1.06498 | 1.6408087428 | 0.0 |
| 1.07731 | 1.64062594672 | 0.0 |
| 1.08978 | 1.64044359384 | 0.0 |
| 1.1024 | 1.64026158201 | 0.0 |
| 1.11517 | 1.64007980928 | 0.0 |
| 1.12808 | 1.63989817398 | 0.0 |
| 1.14114 | 1.63971657455 | 0.0 |
| 1.15436 | 1.63953490955 | 0.0 |
| 1.16772 | 1.63935307748 | 0.0 |
| 1.18124 | 1.6391709769 | 0.0 |
| 1.19492 | 1.63898850616 | 0.0 |
| 1.20876 | 1.63880556346 | 0.0 |
| 1.22276 | 1.63862204681 | 0.0 |
| 1.23692 | 1.63843785385 | 0.0 |
| 1.25124 | 1.63825288182 | 0.0 |
| 1.26573 | 1.63806702762 | 0.0 |
| 1.28038 | 1.63788018753 | 0.0 |
| 1.29521 | 1.63769225737 | 0.0 |
| 1.31021 | 1.63750313214 | 0.0 |
| 1.32538 | 1.63731270642 | 0.0 |
| 1.34073 | 1.63712087373 | 0.0 |
| 1.35625 | 1.63692752687 | 0.0 |
| 1.37196 | 1.63673255774 | 0.0 |
| 1.38784 | 1.63653585719 | 0.0 |
| 1.40391 | 1.6363373152 | 0.0 |
| 1.42017 | 1.63613682033 | 0.0 |
| 1.43661 | 1.63593426011 | 0.0 |
| 1.45325 | 1.63572952094 | 0.0 |
| 1.47008 | 1.63552248753 | 0.0 |
| 1.4871 | 1.63531304343 | 0.0 |
| 1.50432 | 1.63510107073 | 0.0 |
| 1.52174 | 1.63488644962 | 0.0 |
| 1.53936 | 1.63466905894 | 0.0 |
| 1.55718 | 1.63444877581 | 5.043414e-317 |
| 1.57522 | 1.63422547537 | 4.76557352343e-309 |
| 1.59346 | 1.63399903072 | 2.8987118624e-301 |
| 1.61191 | 1.63376931331 | 1.14672070746e-293 |
| 1.63057 | 1.63353619237 | 2.98013866473e-286 |
| 1.64945 | 1.63329953486 | 5.13812170237e-279 |
| 1.66855 | 1.63305920567 | 5.93370570969e-272 |
| 1.68787 | 1.63281506706 | 4.63308099369e-265 |
| 1.70742 | 1.632566979 | 2.46837303889e-258 |
| 1.72719 | 1.63231479919 | 9.05381810335e-252 |
| 1.74719 | 1.63205838203 | 2.30635566245e-245 |
| 1.76742 | 1.63179757972 | 4.11528850784e-239 |
| 1.78789 | 1.63153224153 | 5.18649793754e-233 |
| 1.80859 | 1.63126221335 | 4.65462725688e-227 |
| 1.82953 | 1.63098733855 | 2.99838639045e-221 |
| 1.85072 | 1.63070745684 | 1.39719723326e-215 |
| 1.87215 | 1.63042240476 | 4.74561778793e-210 |
| 1.89383 | 1.6301320156 | 1.18362478543e-204 |
| 1.91575 | 1.62983611896 | 2.18357702767e-199 |
| 1.93794 | 1.62953454073 | 3.00075381248e-194 |
| 1.96038 | 1.62922710251 | 3.09316275998e-189 |
| 1.98308 | 1.62891362302 | 2.40779493992e-184 |
| 2.00604 | 1.62859391588 | 1.42477564955e-179 |
| 2.02927 | 1.62826779085 | 6.45035198744e-175 |
| 2.05277 | 1.62793505324 | 2.24835677096e-170 |
| 2.07654 | 1.62759550392 | 6.0710471139e-166 |
| 2.10058 | 1.62724893896 | 1.27758093018e-161 |
| 2.12491 | 1.62689514952 | 2.10760474866e-157 |
| 2.14951 | 1.62653392139 | 2.74129853928e-153 |
| 2.1744 | 1.62616503579 | 2.82698015951e-149 |
| 2.19958 | 1.62578826775 | 2.32415433272e-145 |
| 2.22505 | 1.62540338758 | 1.53145567037e-141 |
| 2.25082 | 1.6250101591 | 8.13034323164e-138 |
| 2.27688 | 1.62460834023 | 3.49537278434e-134 |
| 2.30324 | 1.62419768287 | 1.22298787507e-130 |
| 2.32991 | 1.62377793271 | 3.49952053439e-127 |
| 2.35689 | 1.62334882785 | 8.2284380272e-124 |
| 2.38418 | 1.62291010003 | 1.59722304643e-120 |
| 2.41179 | 1.62246147378 | 2.57112457712e-117 |
| 2.43972 | 1.62200266761 | 3.44758068542e-114 |
| 2.46797 | 1.62153338921 | 3.86740150724e-111 |
| 2.49655 | 1.62105334162 | 3.64480002498e-108 |
| 2.52546 | 1.62056221785 | 2.89781908476e-105 |
| 2.5547 | 1.62005970204 | 1.95147869146e-102 |
| 2.58428 | 1.61954547107 | 1.11753857535e-99 |
| 2.61421 | 1.61901919163 | 5.46309603466e-97 |
| 2.64448 | 1.61848052045 | 2.288365315e-94 |
| 2.6751 | 1.61792910596 | 8.24359708935e-92 |
| 2.70608 | 1.61736458466 | 2.56313005002e-89 |
| 2.73741 | 1.61678658416 | 6.90253161228e-87 |
| 2.76911 | 1.61619471932 | 1.61553383219e-84 |
| 2.80117 | 1.6155885952 | 3.29719817208e-82 |
| 2.83361 | 1.6149678042 | 5.88725792996e-80 |
| 2.86642 | 1.61433192562 | 9.22581590693e-78 |
| 2.89961 | 1.61368052773 | 1.27283664129e-75 |
| 2.93319 | 1.6130131666 | 1.55073533114e-73 |
| 2.96715 | 1.61232937927 | 1.67336246896e-71 |
| 3.00151 | 1.61162869531 | 1.60394635611e-69 |
| 3.03627 | 1.61091062285 | 1.36951851398e-67 |
| 3.07142 | 1.61017466195 | 1.04454299481e-65 |
| 3.10699 | 1.60942028837 | 7.13574210742e-64 |
| 3.14297 | 1.60864696818 | 4.37777127705e-62 |
| 3.17936 | 1.6078541454 | 2.41817664619e-60 |
| 3.21618 | 1.60704124875 | 1.20569598508e-58 |
| 3.25342 | 1.60620768742 | 5.4396470018e-57 |
| 3.29109 | 1.60535284996 | 2.22602513858e-55 |
| 3.3292 | 1.60447610407 | 8.28199230703e-54 |
| 3.36775 | 1.60357680084 | 2.80789042017e-52 |
| 3.40675 | 1.60265426192 | 8.69436707986e-51 |
| 3.4462 | 1.60170779084 | 2.46409510672e-49 |
| 3.4861 | 1.60073666507 | 6.40568585993e-48 |
| 3.52647 | 1.59974013808 | 1.53062147628e-46 |
| 3.5673 | 1.59871743306 | 3.36858961093e-45 |
| 3.60861 | 1.59766775367 | 6.84179396923e-44 |
| 3.6504 | 1.59659026671 | 1.28492181463e-42 |
| 3.69266 | 1.59548410941 | 2.23558779657e-41 |
| 3.73542 | 1.59434839316 | 3.61010039764e-40 |
| 3.77868 | 1.59318219399 | 5.42056696833e-39 |
| 3.82243 | 1.59198454764 | 7.58114829584e-38 |
| 3.86669 | 1.59075446247 | 9.89325240551e-37 |
| 3.91147 | 1.58949090173 | 1.20666973654e-35 |
| 3.95676 | 1.58819279699 | 1.37783509167e-34 |
| 4.00258 | 1.58685902745 | 1.47524126052e-33 |
| 4.04893 | 1.58548843554 | 1.48342971341e-32 |
| 4.09581 | 1.58407981045 | 1.40305322976e-31 |
| 4.14324 | 1.58263190972 | 1.25006928459e-30 |
| 4.19121 | 1.5811434149 | 1.05070559212e-29 |
| 4.23975 | 1.57961297677 | 8.34323308797e-29 |
| 4.28884 | 1.57803917185 | 6.26756550807e-28 |
| 4.3385 | 1.57642053445 | 4.46031091777e-27 |
| 4.38874 | 1.57475551936 | 3.01099353005e-26 |
| 4.43956 | 1.57304252441 | 1.93061675909e-25 |
| 4.49097 | 1.57127987234 | 1.17726371221e-24 |
| 4.54297 | 1.56946581202 | 6.83564995298e-24 |
| 4.59558 | 1.56759852328 | 3.78389030526e-23 |
| 4.64879 | 1.56567609691 | 1.99922594356e-22 |
| 4.70262 | 1.56369652095 | 1.00936848318e-21 |
| 4.75707 | 1.56165770694 | 4.8751753998e-21 |
| 4.81216 | 1.55955748183 | 2.25506995095e-20 |
| 4.86788 | 1.55739352997 | 1.00005633106e-19 |
| 4.92425 | 1.55516344781 | 4.25635670985e-19 |
| 4.98127 | 1.55286471974 | 1.74038129426e-18 |
| 5.03895 | 1.55049467022 | 6.8434786105e-18 |
| 5.0973 | 1.54805052958 | 2.59035092373e-17 |
| 5.15632 | 1.54552935016 | 9.44718852237e-17 |
| 5.21603 | 1.54292805698 | 3.3228613483e-16 |
| 5.27643 | 1.54024337937 | 1.12818779743e-15 |
| 5.33752 | 1.53747190219 | 3.70079232936e-15 |
| 5.39933 | 1.53461000718 | 1.17389086825e-14 |
| 5.46185 | 1.53165384486 | 3.60368773812e-14 |
| 5.5251 | 1.52859938581 | 1.07154667782e-13 |
| 5.58907 | 1.52544235586 | 3.08865383342e-13 |
| 5.65379 | 1.52217818144 | 8.63700301379e-13 |
| 5.71926 | 1.5188021032 | 2.34490934442e-12 |
| 5.78549 | 1.51530896523 | 6.18562907736e-12 |
| 5.85248 | 1.511693348 | 1.5865529375e-11 |
| 5.92025 | 1.50794948924 | 3.95957668114e-11 |
| 5.9888 | 1.50407115073 | 9.62209976398e-11 |
| 6.05815 | 1.50005179066 | 2.27831718824e-10 |
| 6.1283 | 1.49588434369 | 5.25982420619e-10 |
| 6.19926 | 1.49156123719 | 1.18474197946e-09 |
| 6.27104 | 1.48707438192 | 2.60524221656e-09 |
| 6.34366 | 1.48241506114 | 5.59646991923e-09 |
| 6.41712 | 1.47757388436 | 1.17512964879e-08 |
| 6.49142 | 1.47254066332 | 2.41335265354e-08 |
| 6.56659 | 1.46730449495 | 4.85032917925e-08 |
| 6.64263 | 1.46185337536 | 9.54516698031e-08 |
| 6.71955 | 1.45617439446 | 1.84034286778e-07 |
| 6.79735 | 1.45025338161 | 3.4781847632e-07 |
| 6.87606 | 1.4440747828 | 6.44727246658e-07 |
| 6.95568 | 1.43762154452 | 1.17272129284e-06 |
| 7.03623 | 1.43087485306 | 2.09425876428e-06 |
| 7.1177 | 1.42381378157 | 3.67366550258e-06 |
| 7.20012 | 1.41641511617 | 6.33308781271e-06 |
| 7.2835 | 1.40865269532 | 1.07346374401e-05 |
| 7.36783 | 1.40049722274 | 1.78987249627e-05 |
| 7.45315 | 1.39191548392 | 2.93716243143e-05 |
| 7.53945 | 1.38286958965 | 4.74599559156e-05 |
| 7.62676 | 1.37331595991 | 7.55602307895e-05 |
| 7.71507 | 1.36320426298 | 0.000118642829507 |
| 7.80441 | 1.35247521907 | 0.00018404451058 |
| 7.89478 | 1.34105805234 | 0.000282972521758 |
| 7.98619 | 1.32886659942 | 0.000433649603315 |
| 8.07867 | 1.3157949846 | 0.000667834694529 |
| 8.17222 | 1.30171411035 | 0.00104305600956 |
| 8.26685 | 1.2864752219 | 0.00166194097389 |
| 8.36257 | 1.26992774048 | 0.00269564095482 |
| 8.45941 | 1.25195957487 | 0.00439997271691 |
| 8.55736 | 1.23255640217 | 0.00710418439921 |
| 8.65645 | 1.21186117773 | 0.0111519474367 |
| 8.75669 | 1.19019177307 | 0.0167916402301 |
| 8.85809 | 1.16797602871 | 0.0240483427203 |
| 8.96066 | 1.14558828936 | 0.0326458502522 |
| 9.06442 | 1.12313645275 | 0.042051676981 |
| 9.16938 | 1.10029701808 | 0.0516691154106 |
| 9.27555 | 1.07629827826 | 0.0611161366637 |
| 9.38296 | 1.05007599602 | 0.0704726294355 |
| 9.49161 | 1.0205396974 | 0.0803950384004 |
| 9.60152 | 0.986837028484 | 0.0920773690829 |
| 9.7127 | 0.948538573211 | 0.107115296814 |
| 9.82517 | 0.905735706855 | 0.127357127964 |
| 9.93894 | 0.859108957082 | 0.154794188801 |
| 10.054 | 0.810060252584 | 0.191464295891 |
| 10.1704 | 0.760960501774 | 0.239223595598 |
| 10.2882 | 0.715363605421 | 0.299141887129 |
| 10.4073 | 0.677635840358 | 0.370496904889 |
| 10.5279 | 0.651518642928 | 0.450190941375 |
| 10.6498 | 0.638515282932 | 0.533731751783 |
| 10.7731 | 0.637783618359 | 0.617115615784 |
| 10.8978 | 0.647336512646 | 0.697818326751 |
| 11.024 | 0.665120694528 | 0.774625089839 |
| 11.1517 | 0.689454897598 | 0.847101353322 |
| 11.2808 | 0.719072559927 | 0.915185419324 |
| 11.4114 | 0.75303512347 | 0.978965799614 |
| 11.5436 | 0.790637417517 | 1.03857465847 |
| 11.6772 | 0.831331351407 | 1.09414622898 |
| 11.8124 | 0.874675530755 | 1.14579945598 |
| 11.9492 | 0.920300637734 | 1.19363491392 |
| 12.0876 | 0.967885122077 | 1.23773871528 |
| 12.2276 | 1.01714180319 | 1.27818409768 |
| 12.3692 | 1.06780718298 | 1.31503648985 |
| 12.5124 | 1.11963470178 | 1.3483575099 |
| 12.6573 | 1.17239177102 | 1.37820660232 |
| 12.8038 | 1.22585628993 | 1.40464464177 |
| 12.9521 | 1.2798152834 | 1.42773562225 |
| 13.1021 | 1.33406451338 | 1.4475475872 |
| 13.2538 | 1.38840718166 | 1.46415466726 |
| 13.4073 | 1.44265515899 | 1.47763631264 |
| 13.5625 | 1.49662801333 | 1.48807883657 |
| 13.7196 | 1.5501536923 | 1.49557502259 |
| 13.8784 | 1.60306852007 | 1.50022430265 |
| 14.0391 | 1.65521803456 | 1.50213197765 |
| 14.2017 | 1.70645598502 | 1.50141001713 |
| 14.3661 | 1.75664645719 | 1.49817487041 |
| 14.5325 | 1.80566184755 | 1.49254892887 |
| 14.7008 | 1.85338455711 | 1.48465859819 |
| 14.871 | 1.89970658672 | 1.47463421081 |
| 15.0432 | 1.94452833808 | 1.46261045432 |
| 15.2174 | 1.98776077205 | 1.44872419887 |
| 15.3936 | 2.02932306515 | 1.43311585138 |
| 15.5718 | 2.06914405362 | 1.415927862 |
| 15.7522 | 2.10716185629 | 1.397304713 |
| 15.9346 | 2.14332294453 | 1.37739329689 |
| 16.1191 | 2.17758279269 | 1.35634227967 |
| 16.3057 | 2.20990706354 | 1.33430129129 |
| 16.4945 | 2.24027014953 | 1.31142184028 |
| 16.6855 | 2.26865603342 | 1.28785675823 |
| 16.8787 | 2.29505803298 | 1.26376032422 |
| 17.0742 | 2.31948085055 | 1.23928705688 |
| 17.2719 | 2.34194128891 | 1.21459127051 |
| 17.4719 | 2.36246525755 | 1.18982837505 |
| 17.6742 | 2.38109330057 | 1.1651515087 |
| 17.8789 | 2.39787749087 | 1.14071248126 |
| 18.0859 | 2.41288508673 | 1.11665901324 |
| 18.2953 | 2.42619542267 | 1.09313497295 |
| 18.5072 | 2.43790405233 | 1.0702768561 |
| 18.7215 | 2.44811947588 | 1.04821339872 |
| 18.9383 | 2.45696515373 | 1.02706245944 |
| 19.1575 | 2.46457861001 | 1.00692896957 |
| 19.3794 | 2.47110831643 | 0.987903537393 |
| 19.6038 | 2.47671419134 | 0.970059396353 |
| 19.8308 | 2.48156499442 | 0.953450614015 |
| 20.0604 | 2.48583585814 | 0.938110297626 |
| 20.2927 | 2.489705386 | 0.924049168833 |
| 20.5277 | 2.49335238094 | 0.911254618555 |
| 20.7654 | 2.49695229744 | 0.899690341528 |
| 21.0058 | 2.50067353936 | 0.889296629423 |
| 21.2491 | 2.5046737492 | 0.879991371833 |
| 21.4951 | 2.50909624957 | 0.871671777292 |
| 21.744 | 2.51406680229 | 0.86421678422 |
| 21.9958 | 2.51969084241 | 0.857490088041 |
| 22.2505 | 2.52605132297 | 0.851343669906 |
| 22.5082 | 2.53320727351 | 0.84562167903 |
| 22.7688 | 2.54119313316 | 0.840164498211 |
| 23.0324 | 2.55001887241 | 0.834812813178 |
| 23.2991 | 2.55967087102 | 0.829411511929 |
| 23.5689 | 2.57011347766 | 0.823813258563 |
| 23.8418 | 2.58129114336 | 0.817881615214 |
| 24.1179 | 2.59313099863 | 0.811493621249 |
| 24.3972 | 2.60554573349 | 0.804541777134 |
| 24.6797 | 2.61843664036 | 0.796935417301 |
| 24.9655 | 2.63169668949 | 0.788601488961 |
| 25.2546 | 2.64521352358 | 0.779484780027 |
| 25.547 | 2.6588722792 | 0.769547658333 |
| 25.8428 | 2.67255816486 | 0.758769396013 |
| 26.1421 | 2.68615874811 | 0.747145158114 |
| 26.4448 | 2.69956592369 | 0.734684734351 |
| 26.751 | 2.71267755254 | 0.721411088612 |
| 27.0608 | 2.72539877512 | 0.707358793899 |
| 27.3741 | 2.7376430135 | 0.692572411728 |
| 27.6911 | 2.7493326839 | 0.677104865827 |
| 28.0117 | 2.76039964706 | 0.661015850627 |
| 28.3361 | 2.77078542567 | 0.644370306453 |
| 28.6642 | 2.78044121997 | 0.627236985302 |
| 28.9961 | 2.78932775165 | 0.609687124267 |
| 29.3319 | 2.7974149655 | 0.591793237609 |
| 29.6715 | 2.80468161581 | 0.573628033667 |
| 30.0151 | 2.81111476283 | 0.555263458669 |
| 30.3627 | 2.8167092017 | 0.536769866353 |
| 30.7142 | 2.82146684372 | 0.518215309793 |
| 31.0699 | 2.82539606787 | 0.499664949952 |
| 31.4297 | 2.82851105715 | 0.481180574141 |
| 31.7936 | 2.83083113299 | 0.462820216629 |
| 32.1618 | 2.83238009829 | 0.444637873032 |
| 32.5342 | 2.83318559787 | 0.4266832999 |
| 32.9109 | 2.83327850358 | 0.409001890743 |
| 33.292 | 2.83269232959 | 0.391634619968 |
| 33.6775 | 2.831462682 | 0.374618046328 |
| 34.0675 | 2.82962674596 | 0.357984367925 |
| 34.462 | 2.82722281206 | 0.341761521199 |
| 34.861 | 2.82428984342 | 0.325973316782 |
| 35.2647 | 2.82086708344 | 0.3106396057 |
| 35.673 | 2.8169937043 | 0.295776469816 |
| 36.0861 | 2.812708495 | 0.281396431062 |
| 36.504 | 2.80804958809 | 0.267508674439 |
| 36.9266 | 2.80305422321 | 0.254119280368 |
| 37.3542 | 2.79775854559 | 0.241231462439 |
| 37.7868 | 2.79219743775 | 0.228845807058 |
| 38.2243 | 2.7864043817 | 0.216960512053 |
| 38.6669 | 2.78041134981 | 0.205571621596 |
| 39.1147 | 2.77424872174 | 0.194673255305 |
| 39.5676 | 2.76794522528 | 0.184257829696 |
| 40.0258 | 2.76152789851 | 0.17431627054 |
| 40.4893 | 2.75502207134 | 0.164838214953 |
| 40.9581 | 2.748451364 | 0.155812202343 |
| 41.4324 | 2.74183770047 | 0.1472258536 |
| 41.9121 | 2.73520133496 | 0.13906603811 |
| 42.3975 | 2.72856088923 | 0.131319028405 |
| 42.8884 | 2.72193339944 | 0.1239706424 |
| 43.385 | 2.71533437048 | 0.117006373345 |
| 43.8874 | 2.70877783679 | 0.110411507708 |
| 44.3956 | 2.70227642755 | 0.10417123137 |
| 44.9097 | 2.69584143581 | 0.0982707245263 |
| 45.4297 | 2.68948288994 | 0.0926952458112 |
| 45.9558 | 2.68320962652 | 0.0874302062014 |
| 46.4879 | 2.67702936389 | 0.0824612332778 |
| 47.0262 | 2.67094877547 | 0.0777742264697 |
| 47.5707 | 2.66497356241 | 0.0733554039098 |
| 48.1216 | 2.65910852452 | 0.0691913415466 |
| 48.6788 | 2.65335762979 | 0.0652690051279 |
| 49.2425 | 2.64772408131 | 0.0615757757032 |
| 49.8127 | 2.64221038178 | 0.0580994692335 |
| 50.3895 | 2.63681839541 | 0.0548283508975 |
| 50.973 | 2.63154940639 | 0.051751144667 |
| 51.5632 | 2.6264041749 | 0.0488570386594 |
| 52.1603 | 2.6213829894 | 0.0461356867947 |
| 52.7643 | 2.61648571606 | 0.0435772072051 |
| 53.3752 | 2.61171184495 | 0.0411721778459 |
| 53.9933 | 2.60706053303 | 0.0389116297062 |
| 54.6185 | 2.60253064408 | 0.036787037991 |
| 55.251 | 2.5981207856 | 0.0347903116142 |
| 55.8907 | 2.59382934294 | 0.0329137813043 |
| 56.5379 | 2.58965451051 | 0.0311501866062 |
| 57.1926 | 2.58559432034 | 0.0294926620232 |
| 57.8549 | 2.58164666831 | 0.0279347225178 |
| 58.5248 | 2.5778093377 | 0.026470248573 |
| 59.2025 | 2.57408002086 | 0.0250934709766 |
| 59.888 | 2.57045633816 | 0.0237989554889 |
| 60.5815 | 2.56693585588 | 0.0225815875072 |
| 61.283 | 2.56351610145 | 0.0214365568539 |
| 61.9926 | 2.56019457746 | 0.0203593427688 |
| 62.7104 | 2.55696877382 | 0.0193456991914 |
| 63.4366 | 2.55383617885 | 0.0183916403906 |
| 64.1712 | 2.55079428867 | 0.0174934270001 |
| 64.9142 | 2.54784061548 | 0.0166475524973 |
| 65.6659 | 2.54497269503 | 0.0158507301536 |
| 66.4263 | 2.54218809262 | 0.0150998804864 |
| 67.1955 | 2.5394844085 | 0.0143921192214 |
| 67.9735 | 2.5368592825 | 0.0137247457756 |
| 68.7606 | 2.5343103975 | 0.0130952322686 |
| 69.5568 | 2.53183548293 | 0.0125012130532 |
| 70.3623 | 2.52943231685 | 0.0119404747693 |
| 71.177 | 2.52709872821 | 0.0114109469031 |
| 72.0012 | 2.52483259838 | 0.0109106928487 |
| 72.835 | 2.5226318619 | 0.0104379014543 |
| 73.6783 | 2.52049450767 | 0.00999087903743 |
| 74.5315 | 2.51841857893 | 0.00956804185751 |
| 75.3945 | 2.5164021737 | 0.00916790902234 |
| 76.2676 | 2.51444344435 | 0.00878909581619 |
| 77.1507 | 2.51254059751 | 0.00843030742693 |
| 78.0441 | 2.51069189352 | 0.00809033305635 |
| 78.9478 | 2.50889564541 | 0.00776804039512 |
| 79.8619 | 2.50715021865 | 0.00746237044087 |
| 80.7867 | 2.50545402977 | 0.00717233264654 |
| 81.7222 | 2.50380554551 | 0.00689700037708 |
| 82.6685 | 2.50220328181 | 0.00663550665897 |
| 83.6257 | 2.5006458025 | 0.0063870402065 |
| 84.5941 | 2.49913171839 | 0.00615084170717 |
| 85.5736 | 2.49765968556 | 0.0059262003535 |
| 86.5645 | 2.49622840476 | 0.00571245060205 |
| 87.5669 | 2.49483661957 | 0.00550896915139 |
| 88.5809 | 2.49348311549 | 0.00531517212001 |
| 89.6066 | 2.49216671852 | 0.00513051241528 |
| 90.6442 | 2.49088629402 | 0.00495447727925 |
| 91.6938 | 2.48964074535 | 0.00478658600106 |
| 92.7555 | 2.48842901263 | 0.00462638778436 |
| 93.8296 | 2.48725007176 | 0.00447345975942 |
| 94.9161 | 2.48610293278 | 0.00432740513194 |
| 96.0152 | 2.48498663932 | 0.00418785145627 |
| 97.127 | 2.48390026688 | 0.00405444902875 |
| 98.2517 | 2.48284292197 | 0.00392686938944 |
| 99.3894 | 2.48181374127 | 0.00380480392646 |
| 100.54 | 2.48081188982 | 0.00368796257735 |
| 101.704 | 2.47983656105 | 0.00357607261648 |
| 102.882 | 2.47888697497 | 0.00346887752825 |
| 104.073 | 2.4779623775 | 0.00336613595555 |
| 105.279 | 2.4770620397 | 0.00326762072034 |
| 106.498 | 2.47618525629 | 0.00317311791189 |
| 107.731 | 2.47533134567 | 0.00308242603519 |
| 108.978 | 2.47449964825 | 0.00299535521953 |
| 110.24 | 2.47368952629 | 0.00291172647882 |
| 111.517 | 2.47290036234 | 0.00283137102377 |
| 112.808 | 2.47213155952 | 0.00275412961837 |
| 114.114 | 2.47138253998 | 0.00267985198187 |
| 115.436 | 2.47065274424 | 0.00260839622998 |
| 116.772 | 2.46994163125 | 0.00253962835278 |
| 118.124 | 2.46924867676 | 0.00247342172928 |
| 119.492 | 2.46857337342 | 0.00240965667257 |
| 120.876 | 2.46791522977 | 0.00234822000635 |
| 122.276 | 2.46727377006 | 0.00228900466856 |
| 123.692 | 2.46664853328 | 0.00223190934206 |
| 125.124 | 2.46603907285 | 0.00217683810884 |
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 Al2O3; Deposited by e-beam evaporation on c-Si; 121.5 nm thick film with an amorphous (very fine polycrystalline) structure; Heterogenous data processing combining ellipsometric and spectrophotometric measurements; Room temperature.