Optical constants
Refractive index of Ti (Titanium)
Palm et al. 2018: n,k 0.226–1.68 µm
- Data
- tabulated nk
- Range
- 0.2261–1.685 µm
- Points
- 685
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.94217
- Extinction coefficient k
- 2.1746
- Permittivity ε1
- -0.956851
- Permittivity ε2
- 8.44688
- Absorption coefficient α
- 465058 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 43.0054 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 2.25795 µm⁻¹
- Group index ng
- 0.615397
- 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
# Ti (Titanium): Palm et al. 2018: n,k 0.226–1.68 µm
ti = ls.fetch_refractiveindex("main", "Ti", "Palm", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ti.range_nm) # (226.076, 1684.53) nm
eps = ti.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_f44f1815afb5/lightsmith"
ti = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ti.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (ti/palm-2018).
# ... load ti as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ti)],
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
References
- doi:10.1021/acsphotonics.8b01243 Dynamic Optical Properties of Metal Hydrides, ACS Photonics (2018)
Cite
Kevin J. Palm, Joseph B. Murray, Tarun C. Narayan and Jeremy N. Munday. Dynamic Optical Properties of Metal Hydrides. ACS Photonics, 5, 4677-4686 (2018), doi:10.1021/acsphotonics.8b01243; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
685 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.226076263 | 1.190343 | 1.096289 |
| 0.227672363 | 1.188528 | 1.101484 |
| 0.229268463 | 1.186753 | 1.106461 |
| 0.230864594 | 1.184955 | 1.111367 |
| 0.232460739 | 1.183112 | 1.116306 |
| 0.234056915 | 1.181223 | 1.121359 |
| 0.235653107 | 1.179298 | 1.126587 |
| 0.237249313 | 1.177357 | 1.132037 |
| 0.238845535 | 1.175429 | 1.137744 |
| 0.240441772 | 1.173546 | 1.143731 |
| 0.24203801 | 1.171744 | 1.150007 |
| 0.243634308 | 1.170051 | 1.15657 |
| 0.24523056 | 1.16849 | 1.163416 |
| 0.246826874 | 1.167085 | 1.170542 |
| 0.248423187 | 1.165859 | 1.177939 |
| 0.250019531 | 1.164835 | 1.185598 |
| 0.251615875 | 1.164037 | 1.193504 |
| 0.253212234 | 1.163486 | 1.201643 |
| 0.254808594 | 1.163208 | 1.209995 |
| 0.256404968 | 1.163229 | 1.218532 |
| 0.258001404 | 1.163571 | 1.227211 |
| 0.259597809 | 1.164231 | 1.235986 |
| 0.261194214 | 1.165202 | 1.244822 |
| 0.262790649 | 1.166472 | 1.253689 |
| 0.264387085 | 1.168027 | 1.26256 |
| 0.265983551 | 1.169853 | 1.271416 |
| 0.267580017 | 1.171934 | 1.280235 |
| 0.269176483 | 1.174255 | 1.289003 |
| 0.27077298 | 1.1768 | 1.297705 |
| 0.272369446 | 1.179554 | 1.306329 |
| 0.273965973 | 1.182501 | 1.314865 |
| 0.275562469 | 1.185627 | 1.323301 |
| 0.277158997 | 1.188915 | 1.33163 |
| 0.278755524 | 1.192346 | 1.339843 |
| 0.280352081 | 1.195904 | 1.347937 |
| 0.281948608 | 1.199571 | 1.355909 |
| 0.283545135 | 1.203331 | 1.363757 |
| 0.285141693 | 1.207165 | 1.371482 |
| 0.286738251 | 1.211057 | 1.379085 |
| 0.288334839 | 1.214991 | 1.386571 |
| 0.289931396 | 1.218948 | 1.393944 |
| 0.291527985 | 1.222912 | 1.401211 |
| 0.293124573 | 1.226861 | 1.408383 |
| 0.29472113 | 1.230774 | 1.415477 |
| 0.296317719 | 1.234632 | 1.422527 |
| 0.297914307 | 1.238442 | 1.42957 |
| 0.299510895 | 1.242216 | 1.436629 |
| 0.301107483 | 1.245968 | 1.443724 |
| 0.302704071 | 1.249716 | 1.450869 |
| 0.30430069 | 1.253476 | 1.458075 |
| 0.305897278 | 1.257267 | 1.465348 |
| 0.307493866 | 1.261108 | 1.472693 |
| 0.309090485 | 1.265015 | 1.480112 |
| 0.310687073 | 1.26901 | 1.487605 |
| 0.312283661 | 1.273109 | 1.495168 |
| 0.31388028 | 1.277334 | 1.502795 |
| 0.315476868 | 1.281703 | 1.510478 |
| 0.317073456 | 1.28624 | 1.518206 |
| 0.318670044 | 1.290969 | 1.525959 |
| 0.320266632 | 1.295909 | 1.533699 |
| 0.32186322 | 1.301055 | 1.54139 |
| 0.323459808 | 1.3064 | 1.549005 |
| 0.325056396 | 1.31193 | 1.556521 |
| 0.326652954 | 1.317633 | 1.563921 |
| 0.328249542 | 1.323494 | 1.57119 |
| 0.32984613 | 1.329501 | 1.578316 |
| 0.331442688 | 1.335638 | 1.585289 |
| 0.333039246 | 1.341891 | 1.592101 |
| 0.334635773 | 1.348247 | 1.598746 |
| 0.33623233 | 1.35469 | 1.605219 |
| 0.337828857 | 1.361209 | 1.611516 |
| 0.339425385 | 1.367788 | 1.617635 |
| 0.341021912 | 1.374416 | 1.623575 |
| 0.342618439 | 1.38108 | 1.629335 |
| 0.344214935 | 1.387766 | 1.634917 |
| 0.345811462 | 1.394462 | 1.640321 |
| 0.347407928 | 1.401155 | 1.645553 |
| 0.349004425 | 1.407836 | 1.650619 |
| 0.350600891 | 1.414497 | 1.655524 |
| 0.352197357 | 1.421131 | 1.660273 |
| 0.353793793 | 1.427731 | 1.664872 |
| 0.355390259 | 1.434292 | 1.669324 |
| 0.356986664 | 1.440808 | 1.673635 |
| 0.358583099 | 1.447274 | 1.677809 |
| 0.360179504 | 1.453685 | 1.68185 |
| 0.361775909 | 1.460035 | 1.685763 |
| 0.363372284 | 1.466322 | 1.689551 |
| 0.364968658 | 1.472539 | 1.693221 |
| 0.366565002 | 1.478682 | 1.696775 |
| 0.368161346 | 1.484748 | 1.700218 |
| 0.36975766 | 1.490732 | 1.703555 |
| 0.371353973 | 1.49663 | 1.70679 |
| 0.372950287 | 1.502438 | 1.709929 |
| 0.37454657 | 1.508152 | 1.712976 |
| 0.376142853 | 1.513766 | 1.715937 |
| 0.377739075 | 1.519277 | 1.718817 |
| 0.379335327 | 1.524679 | 1.721623 |
| 0.380931549 | 1.529966 | 1.724364 |
| 0.382527771 | 1.535135 | 1.727054 |
| 0.384123932 | 1.540188 | 1.729703 |
| 0.385720093 | 1.545128 | 1.732321 |
| 0.387316223 | 1.549959 | 1.734915 |
| 0.388912384 | 1.554684 | 1.737493 |
| 0.390508484 | 1.559307 | 1.740061 |
| 0.392104553 | 1.563832 | 1.742624 |
| 0.393700623 | 1.568263 | 1.745187 |
| 0.395296692 | 1.572604 | 1.747754 |
| 0.396892731 | 1.576859 | 1.75033 |
| 0.398488708 | 1.581033 | 1.752917 |
| 0.400084717 | 1.585129 | 1.75552 |
| 0.401680695 | 1.589152 | 1.75814 |
| 0.403276642 | 1.593106 | 1.76078 |
| 0.404872559 | 1.596995 | 1.763443 |
| 0.406468445 | 1.600823 | 1.766129 |
| 0.408064331 | 1.604594 | 1.768841 |
| 0.409660156 | 1.608311 | 1.77158 |
| 0.411256012 | 1.61198 | 1.774346 |
| 0.412851807 | 1.615604 | 1.77714 |
| 0.414447571 | 1.619187 | 1.779964 |
| 0.416043304 | 1.622732 | 1.782816 |
| 0.417639069 | 1.626245 | 1.785697 |
| 0.419234772 | 1.629729 | 1.788606 |
| 0.420830414 | 1.633189 | 1.791542 |
| 0.422426086 | 1.636629 | 1.794502 |
| 0.424021729 | 1.640051 | 1.797482 |
| 0.425617279 | 1.643456 | 1.800479 |
| 0.427212891 | 1.646845 | 1.803491 |
| 0.428808411 | 1.650218 | 1.806516 |
| 0.4304039 | 1.653576 | 1.809552 |
| 0.43199942 | 1.656918 | 1.812598 |
| 0.433594818 | 1.660245 | 1.815652 |
| 0.435190277 | 1.663557 | 1.818713 |
| 0.436785645 | 1.666853 | 1.821781 |
| 0.438381012 | 1.670133 | 1.824854 |
| 0.439976379 | 1.673398 | 1.827932 |
| 0.441571625 | 1.676646 | 1.831013 |
| 0.443166931 | 1.679878 | 1.834097 |
| 0.444762146 | 1.683093 | 1.837184 |
| 0.446357361 | 1.686291 | 1.840273 |
| 0.447952545 | 1.689471 | 1.843365 |
| 0.449547668 | 1.692633 | 1.846457 |
| 0.451142761 | 1.695776 | 1.849552 |
| 0.452737854 | 1.6989 | 1.852647 |
| 0.454332855 | 1.702004 | 1.855744 |
| 0.455927887 | 1.705087 | 1.858842 |
| 0.457522858 | 1.708149 | 1.861942 |
| 0.459117767 | 1.71119 | 1.865043 |
| 0.460712708 | 1.714208 | 1.868146 |
| 0.462307556 | 1.717202 | 1.871251 |
| 0.463902405 | 1.720172 | 1.874358 |
| 0.465497162 | 1.723117 | 1.877469 |
| 0.467091888 | 1.726036 | 1.880584 |
| 0.468686615 | 1.728927 | 1.883704 |
| 0.470281311 | 1.731789 | 1.886829 |
| 0.471875916 | 1.73462 | 1.889963 |
| 0.47347052 | 1.73742 | 1.893108 |
| 0.475065094 | 1.740189 | 1.896269 |
| 0.476659607 | 1.742927 | 1.899448 |
| 0.478254089 | 1.745638 | 1.902646 |
| 0.479848541 | 1.748322 | 1.905866 |
| 0.481442932 | 1.75098 | 1.909109 |
| 0.483037292 | 1.753615 | 1.912377 |
| 0.484631592 | 1.756229 | 1.915671 |
| 0.486225891 | 1.758822 | 1.918992 |
| 0.487820129 | 1.761397 | 1.922341 |
| 0.489414307 | 1.763956 | 1.925719 |
| 0.491008453 | 1.7665 | 1.929125 |
| 0.492602539 | 1.76903 | 1.932562 |
| 0.494196625 | 1.77155 | 1.936028 |
| 0.495790619 | 1.77406 | 1.939525 |
| 0.497384613 | 1.776561 | 1.943053 |
| 0.498978516 | 1.779057 | 1.946611 |
| 0.500572418 | 1.781548 | 1.9502 |
| 0.50216626 | 1.784036 | 1.95382 |
| 0.503760071 | 1.786522 | 1.957471 |
| 0.505353821 | 1.789008 | 1.961153 |
| 0.50694751 | 1.791496 | 1.964864 |
| 0.508541168 | 1.793987 | 1.968606 |
| 0.510134766 | 1.796482 | 1.972377 |
| 0.511728333 | 1.798983 | 1.976178 |
| 0.513321838 | 1.801492 | 1.980008 |
| 0.514915283 | 1.804009 | 1.983866 |
| 0.516508667 | 1.806536 | 1.987752 |
| 0.518102051 | 1.809074 | 1.991665 |
| 0.519695435 | 1.811625 | 1.995606 |
| 0.521288696 | 1.81419 | 1.999572 |
| 0.522881897 | 1.816769 | 2.003564 |
| 0.524475037 | 1.819366 | 2.007581 |
| 0.526068176 | 1.821979 | 2.011621 |
| 0.527661255 | 1.824611 | 2.015685 |
| 0.529254211 | 1.827263 | 2.019771 |
| 0.530847168 | 1.829935 | 2.023878 |
| 0.532440063 | 1.83263 | 2.028006 |
| 0.534032959 | 1.835349 | 2.032154 |
| 0.535625732 | 1.838091 | 2.036319 |
| 0.537218506 | 1.84086 | 2.040501 |
| 0.538811157 | 1.843656 | 2.044698 |
| 0.540403809 | 1.846478 | 2.048908 |
| 0.541996399 | 1.849326 | 2.053129 |
| 0.543588928 | 1.852203 | 2.05736 |
| 0.545181396 | 1.855106 | 2.0616 |
| 0.546773804 | 1.858037 | 2.065848 |
| 0.54836615 | 1.860994 | 2.070103 |
| 0.549958496 | 1.863979 | 2.074363 |
| 0.55155072 | 1.866992 | 2.078627 |
| 0.553142944 | 1.870031 | 2.082895 |
| 0.554735046 | 1.873097 | 2.087165 |
| 0.556327148 | 1.876191 | 2.091437 |
| 0.557919128 | 1.879311 | 2.09571 |
| 0.559511108 | 1.882457 | 2.099982 |
| 0.561102966 | 1.88563 | 2.104253 |
| 0.562694824 | 1.88883 | 2.108523 |
| 0.564286621 | 1.892055 | 2.11279 |
| 0.565878296 | 1.895306 | 2.117054 |
| 0.567470032 | 1.898583 | 2.121314 |
| 0.569061646 | 1.901886 | 2.125569 |
| 0.570653137 | 1.905214 | 2.129819 |
| 0.572244629 | 1.908566 | 2.134063 |
| 0.57383606 | 1.911944 | 2.1383 |
| 0.575427368 | 1.915347 | 2.14253 |
| 0.577018677 | 1.918773 | 2.146753 |
| 0.578609863 | 1.922224 | 2.150967 |
| 0.58020105 | 1.925699 | 2.155173 |
| 0.581792114 | 1.929198 | 2.159369 |
| 0.583383179 | 1.93272 | 2.163555 |
| 0.584974121 | 1.936266 | 2.167731 |
| 0.586565063 | 1.939834 | 2.171896 |
| 0.588155884 | 1.943426 | 2.17605 |
| 0.589746704 | 1.94704 | 2.180192 |
| 0.591337341 | 1.950676 | 2.184321 |
| 0.592927979 | 1.954335 | 2.188438 |
| 0.594518555 | 1.958016 | 2.192542 |
| 0.59610907 | 1.961719 | 2.196633 |
| 0.597699524 | 1.965443 | 2.200709 |
| 0.599289917 | 1.969189 | 2.204771 |
| 0.600880188 | 1.972956 | 2.208818 |
| 0.602470398 | 1.976744 | 2.21285 |
| 0.604060608 | 1.980553 | 2.216867 |
| 0.605650696 | 1.984382 | 2.220867 |
| 0.607240723 | 1.988233 | 2.224852 |
| 0.608830688 | 1.992104 | 2.228819 |
| 0.610420532 | 1.995995 | 2.232769 |
| 0.612010376 | 1.999907 | 2.236702 |
| 0.613600098 | 2.003839 | 2.240616 |
| 0.615189758 | 2.007791 | 2.244512 |
| 0.616779358 | 2.011764 | 2.248389 |
| 0.618368896 | 2.015756 | 2.252247 |
| 0.619958374 | 2.019769 | 2.256084 |
| 0.621547729 | 2.023803 | 2.2599 |
| 0.623137024 | 2.027857 | 2.263694 |
| 0.624726257 | 2.031931 | 2.267464 |
| 0.62631543 | 2.036024 | 2.27121 |
| 0.62790448 | 2.040135 | 2.274931 |
| 0.62949353 | 2.044265 | 2.278625 |
| 0.631082458 | 2.048411 | 2.282294 |
| 0.632671265 | 2.052573 | 2.285935 |
| 0.634260132 | 2.056751 | 2.289549 |
| 0.635848755 | 2.060943 | 2.293135 |
| 0.637437378 | 2.065149 | 2.296693 |
| 0.639026001 | 2.069368 | 2.300222 |
| 0.640614441 | 2.0736 | 2.303723 |
| 0.64220282 | 2.077843 | 2.307194 |
| 0.643791138 | 2.082098 | 2.310635 |
| 0.645379395 | 2.086362 | 2.314047 |
| 0.64696759 | 2.090636 | 2.317429 |
| 0.648555664 | 2.094919 | 2.320782 |
| 0.650143677 | 2.099209 | 2.324104 |
| 0.651731567 | 2.103507 | 2.327396 |
| 0.653319458 | 2.107812 | 2.330657 |
| 0.654907166 | 2.112123 | 2.333889 |
| 0.656494873 | 2.116438 | 2.33709 |
| 0.658082458 | 2.120759 | 2.340261 |
| 0.659669983 | 2.125083 | 2.343401 |
| 0.661257446 | 2.129411 | 2.346511 |
| 0.662844788 | 2.133742 | 2.349591 |
| 0.664432007 | 2.138075 | 2.35264 |
| 0.666019165 | 2.142409 | 2.35566 |
| 0.667606323 | 2.146744 | 2.358649 |
| 0.669193298 | 2.15108 | 2.361609 |
| 0.670780273 | 2.155415 | 2.364538 |
| 0.672367065 | 2.15975 | 2.367438 |
| 0.673953857 | 2.164083 | 2.370308 |
| 0.675540527 | 2.168414 | 2.373149 |
| 0.677127136 | 2.172743 | 2.37596 |
| 0.678713623 | 2.177069 | 2.378742 |
| 0.680300049 | 2.181392 | 2.381495 |
| 0.681886353 | 2.185711 | 2.38422 |
| 0.683472656 | 2.190026 | 2.386916 |
| 0.685058777 | 2.194335 | 2.389583 |
| 0.686644897 | 2.198639 | 2.392222 |
| 0.688230835 | 2.202938 | 2.394833 |
| 0.689816772 | 2.20723 | 2.397416 |
| 0.691402527 | 2.211515 | 2.399972 |
| 0.69298822 | 2.215794 | 2.4025 |
| 0.694573853 | 2.220065 | 2.405001 |
| 0.696159424 | 2.224327 | 2.407475 |
| 0.697744873 | 2.228582 | 2.409923 |
| 0.6993302 | 2.232827 | 2.412344 |
| 0.700915466 | 2.237064 | 2.414739 |
| 0.70250061 | 2.241291 | 2.417108 |
| 0.704085693 | 2.245508 | 2.419451 |
| 0.705670715 | 2.249714 | 2.421769 |
| 0.707255554 | 2.25391 | 2.424061 |
| 0.708840393 | 2.258095 | 2.426329 |
| 0.71042511 | 2.262268 | 2.428572 |
| 0.712009705 | 2.266429 | 2.430791 |
| 0.713594177 | 2.270579 | 2.432986 |
| 0.715178589 | 2.274715 | 2.435158 |
| 0.716762939 | 2.278839 | 2.437305 |
| 0.718347168 | 2.28295 | 2.43943 |
| 0.719931335 | 2.287047 | 2.441532 |
| 0.721515381 | 2.29113 | 2.443611 |
| 0.723099304 | 2.295199 | 2.445668 |
| 0.724683167 | 2.299253 | 2.447704 |
| 0.726266907 | 2.303293 | 2.449718 |
| 0.727850525 | 2.307317 | 2.45171 |
| 0.729434143 | 2.311326 | 2.453682 |
| 0.731017578 | 2.315318 | 2.455633 |
| 0.732600952 | 2.319294 | 2.457565 |
| 0.734184204 | 2.323254 | 2.459476 |
| 0.735767334 | 2.327196 | 2.461369 |
| 0.737350403 | 2.331121 | 2.463243 |
| 0.73893335 | 2.335027 | 2.465099 |
| 0.740516235 | 2.338916 | 2.466938 |
| 0.742098999 | 2.342787 | 2.468761 |
| 0.743681641 | 2.346639 | 2.470569 |
| 0.745264221 | 2.350473 | 2.472361 |
| 0.746846619 | 2.354289 | 2.474138 |
| 0.748429016 | 2.358088 | 2.475902 |
| 0.75001123 | 2.361868 | 2.477651 |
| 0.751593384 | 2.365631 | 2.479388 |
| 0.753175415 | 2.369375 | 2.481112 |
| 0.754757385 | 2.373103 | 2.482824 |
| 0.756339233 | 2.376812 | 2.484524 |
| 0.757920959 | 2.380505 | 2.486212 |
| 0.759502563 | 2.38418 | 2.487889 |
| 0.761084106 | 2.387838 | 2.489556 |
| 0.762665527 | 2.391479 | 2.491212 |
| 0.764246826 | 2.395103 | 2.492857 |
| 0.765828003 | 2.398711 | 2.494494 |
| 0.767409119 | 2.402302 | 2.49612 |
| 0.768990112 | 2.405876 | 2.497738 |
| 0.770570984 | 2.409434 | 2.499346 |
| 0.772151733 | 2.412976 | 2.500947 |
| 0.773732483 | 2.416502 | 2.502538 |
| 0.775312988 | 2.420011 | 2.504122 |
| 0.776893433 | 2.423506 | 2.505697 |
| 0.778473755 | 2.426984 | 2.507265 |
| 0.780054077 | 2.430447 | 2.508826 |
| 0.781634155 | 2.433895 | 2.510379 |
| 0.783214172 | 2.437327 | 2.511925 |
| 0.784794067 | 2.440745 | 2.513465 |
| 0.786373901 | 2.444147 | 2.514998 |
| 0.787953552 | 2.447535 | 2.516525 |
| 0.789533081 | 2.450908 | 2.518045 |
| 0.79111261 | 2.454267 | 2.51956 |
| 0.792691956 | 2.457611 | 2.521069 |
| 0.794271118 | 2.460941 | 2.522572 |
| 0.795850281 | 2.464257 | 2.524069 |
| 0.797429321 | 2.467558 | 2.525561 |
| 0.799008179 | 2.470846 | 2.527048 |
| 0.800586975 | 2.474121 | 2.52853 |
| 0.802165649 | 2.477382 | 2.530007 |
| 0.803744202 | 2.480629 | 2.53148 |
| 0.805322632 | 2.483864 | 2.532947 |
| 0.80690094 | 2.487085 | 2.53441 |
| 0.808479126 | 2.490293 | 2.535869 |
| 0.810057251 | 2.493488 | 2.537323 |
| 0.811635193 | 2.49667 | 2.538774 |
| 0.813213013 | 2.49984 | 2.54022 |
| 0.814790771 | 2.502997 | 2.541662 |
| 0.816368408 | 2.506142 | 2.543101 |
| 0.817945923 | 2.509274 | 2.544536 |
| 0.819523254 | 2.512394 | 2.545967 |
| 0.821100586 | 2.515503 | 2.547395 |
| 0.822677734 | 2.518599 | 2.548819 |
| 0.8242547 | 2.521683 | 2.55024 |
| 0.825831665 | 2.524756 | 2.551658 |
| 0.827408386 | 2.527817 | 2.553072 |
| 0.828985046 | 2.530867 | 2.554484 |
| 0.830561646 | 2.533906 | 2.555892 |
| 0.832138062 | 2.536933 | 2.557298 |
| 0.833714355 | 2.539949 | 2.558701 |
| 0.835290527 | 2.542954 | 2.560101 |
| 0.836866577 | 2.545948 | 2.561498 |
| 0.838442505 | 2.548932 | 2.562893 |
| 0.840018372 | 2.551904 | 2.564285 |
| 0.841594055 | 2.554866 | 2.565675 |
| 0.843169617 | 2.557818 | 2.567062 |
| 0.844744995 | 2.560759 | 2.568447 |
| 0.846320313 | 2.56369 | 2.569829 |
| 0.847895508 | 2.56661 | 2.57121 |
| 0.849470581 | 2.569521 | 2.572588 |
| 0.851045593 | 2.572422 | 2.573964 |
| 0.852620422 | 2.575312 | 2.575338 |
| 0.854195007 | 2.578193 | 2.57671 |
| 0.855769653 | 2.581064 | 2.578079 |
| 0.857344055 | 2.583925 | 2.579447 |
| 0.858918335 | 2.586777 | 2.580813 |
| 0.860492554 | 2.58962 | 2.582177 |
| 0.862066589 | 2.592453 | 2.583539 |
| 0.863640503 | 2.595276 | 2.5849 |
| 0.865214355 | 2.598091 | 2.586259 |
| 0.866787964 | 2.600896 | 2.587616 |
| 0.868361511 | 2.603693 | 2.588971 |
| 0.869934937 | 2.60648 | 2.590325 |
| 0.871508179 | 2.609259 | 2.591677 |
| 0.87308136 | 2.612029 | 2.593027 |
| 0.874654419 | 2.61479 | 2.594376 |
| 0.876227356 | 2.617543 | 2.595724 |
| 0.87780011 | 2.620287 | 2.59707 |
| 0.879372681 | 2.623022 | 2.598414 |
| 0.88094519 | 2.625749 | 2.599757 |
| 0.882517456 | 2.628468 | 2.601099 |
| 0.884089722 | 2.631179 | 2.602439 |
| 0.885661804 | 2.633881 | 2.603778 |
| 0.887233765 | 2.636575 | 2.605116 |
| 0.888805664 | 2.639262 | 2.606452 |
| 0.890377319 | 2.64194 | 2.607787 |
| 0.891948914 | 2.644611 | 2.609121 |
| 0.893520325 | 2.647274 | 2.610454 |
| 0.895091614 | 2.649928 | 2.611785 |
| 0.896662781 | 2.652576 | 2.613115 |
| 0.898233765 | 2.655215 | 2.614444 |
| 0.899804688 | 2.657847 | 2.615772 |
| 0.901375366 | 2.660472 | 2.617099 |
| 0.902945984 | 2.663089 | 2.618425 |
| 0.904516479 | 2.665699 | 2.619749 |
| 0.906086792 | 2.668301 | 2.621073 |
| 0.907656921 | 2.670897 | 2.622395 |
| 0.909227051 | 2.673485 | 2.623716 |
| 0.910796997 | 2.676066 | 2.625036 |
| 0.912366699 | 2.678639 | 2.626355 |
| 0.91393634 | 2.681206 | 2.627673 |
| 0.915505859 | 2.683766 | 2.628991 |
| 0.917075195 | 2.686319 | 2.630307 |
| 0.918644409 | 2.688865 | 2.631622 |
| 0.920213501 | 2.691405 | 2.632936 |
| 0.92178241 | 2.693938 | 2.634249 |
| 0.923351257 | 2.696464 | 2.635562 |
| 0.924919922 | 2.698983 | 2.636873 |
| 0.926488403 | 2.701496 | 2.638183 |
| 0.928056763 | 2.704002 | 2.639493 |
| 0.929625 | 2.706502 | 2.640801 |
| 0.931193054 | 2.708996 | 2.642109 |
| 0.932760925 | 2.711483 | 2.643416 |
| 0.934328796 | 2.713964 | 2.644722 |
| 0.935896362 | 2.716438 | 2.646027 |
| 0.937463867 | 2.718906 | 2.647331 |
| 0.93903125 | 2.721368 | 2.648634 |
| 0.94059845 | 2.723824 | 2.649936 |
| 0.942165527 | 2.726274 | 2.651237 |
| 0.943732422 | 2.728718 | 2.652538 |
| 0.945299194 | 2.731156 | 2.653838 |
| 0.946865845 | 2.733588 | 2.655137 |
| 0.948432312 | 2.736014 | 2.656435 |
| 0.949998657 | 2.738434 | 2.657732 |
| 0.951564819 | 2.740848 | 2.659028 |
| 0.953130859 | 2.743257 | 2.660324 |
| 0.954696777 | 2.74566 | 2.661618 |
| 0.956262512 | 2.748057 | 2.662912 |
| 0.957828125 | 2.750448 | 2.664206 |
| 0.959393555 | 2.752834 | 2.665498 |
| 0.960958801 | 2.755214 | 2.666789 |
| 0.962523926 | 2.757589 | 2.66808 |
| 0.964088989 | 2.759959 | 2.669369 |
| 0.965653809 | 2.762322 | 2.670658 |
| 0.967218445 | 2.764681 | 2.671946 |
| 0.96878302 | 2.767034 | 2.673234 |
| 0.970347351 | 2.769382 | 2.67452 |
| 0.971911621 | 2.771724 | 2.675806 |
| 0.973475708 | 2.774061 | 2.677091 |
| 0.975039551 | 2.776392 | 2.678375 |
| 0.976603333 | 2.778719 | 2.679658 |
| 0.978166992 | 2.781041 | 2.68094 |
| 0.979730347 | 2.783357 | 2.682222 |
| 0.981293762 | 2.785668 | 2.683503 |
| 0.982856812 | 2.787974 | 2.684783 |
| 0.9844198 | 2.790275 | 2.686062 |
| 0.985982727 | 2.792571 | 2.68734 |
| 0.98754541 | 2.794862 | 2.688618 |
| 0.98910791 | 2.797148 | 2.689895 |
| 0.990670288 | 2.799429 | 2.691171 |
| 0.992232544 | 2.801706 | 2.692446 |
| 0.993794556 | 2.803977 | 2.69372 |
| 0.995356445 | 2.806243 | 2.694993 |
| 0.996918152 | 2.808505 | 2.696266 |
| 0.998479797 | 2.810762 | 2.697538 |
| 1.011449524 | 2.829335 | 2.708075 |
| 1.014837524 | 2.834137 | 2.71082 |
| 1.018225952 | 2.838919 | 2.713561 |
| 1.021614868 | 2.843683 | 2.7163 |
| 1.025004272 | 2.848427 | 2.719036 |
| 1.028394165 | 2.853153 | 2.721769 |
| 1.031784424 | 2.85786 | 2.724499 |
| 1.035175293 | 2.862549 | 2.727226 |
| 1.03856665 | 2.86722 | 2.729949 |
| 1.041958252 | 2.871872 | 2.73267 |
| 1.045350586 | 2.876507 | 2.735388 |
| 1.048743286 | 2.881124 | 2.738103 |
| 1.052136475 | 2.885724 | 2.740814 |
| 1.055530029 | 2.890307 | 2.743523 |
| 1.058924194 | 2.894872 | 2.746228 |
| 1.062318848 | 2.899421 | 2.74893 |
| 1.065713867 | 2.903952 | 2.751629 |
| 1.069109497 | 2.908467 | 2.754325 |
| 1.072505493 | 2.912966 | 2.757018 |
| 1.075901978 | 2.917448 | 2.759707 |
| 1.07929895 | 2.921913 | 2.762394 |
| 1.082696411 | 2.926363 | 2.765077 |
| 1.08609436 | 2.930797 | 2.767756 |
| 1.089492676 | 2.935214 | 2.770433 |
| 1.092891602 | 2.939616 | 2.773106 |
| 1.096290894 | 2.944002 | 2.775776 |
| 1.099690674 | 2.948372 | 2.778443 |
| 1.103091064 | 2.952727 | 2.781106 |
| 1.106491821 | 2.957067 | 2.783766 |
| 1.109893066 | 2.961391 | 2.786423 |
| 1.113294678 | 2.9657 | 2.789076 |
| 1.116697021 | 2.969994 | 2.791727 |
| 1.120099609 | 2.974272 | 2.794373 |
| 1.123502686 | 2.978536 | 2.797017 |
| 1.126906372 | 2.982785 | 2.799657 |
| 1.130310425 | 2.987018 | 2.802294 |
| 1.133714966 | 2.991237 | 2.804928 |
| 1.137119995 | 2.995441 | 2.807558 |
| 1.140525513 | 2.99963 | 2.810186 |
| 1.143931396 | 3.003805 | 2.81281 |
| 1.147337891 | 3.007965 | 2.815431 |
| 1.150744873 | 3.01211 | 2.818048 |
| 1.154152222 | 3.016241 | 2.820663 |
| 1.157560059 | 3.020357 | 2.823275 |
| 1.160968506 | 3.024458 | 2.825883 |
| 1.164377197 | 3.028545 | 2.828489 |
| 1.167786499 | 3.032617 | 2.831091 |
| 1.171196289 | 3.036674 | 2.833691 |
| 1.174606567 | 3.040717 | 2.836289 |
| 1.178017212 | 3.044745 | 2.838883 |
| 1.181428467 | 3.048758 | 2.841475 |
| 1.184840088 | 3.052756 | 2.844065 |
| 1.188252197 | 3.056739 | 2.846654 |
| 1.191664795 | 3.060707 | 2.849241 |
| 1.195077881 | 3.064661 | 2.851827 |
| 1.198491455 | 3.0686 | 2.854413 |
| 1.201905518 | 3.072526 | 2.856998 |
| 1.205319946 | 3.076437 | 2.859582 |
| 1.208734863 | 3.080334 | 2.862166 |
| 1.212150269 | 3.084219 | 2.86475 |
| 1.215566162 | 3.08809 | 2.867334 |
| 1.218982666 | 3.091948 | 2.869919 |
| 1.222399536 | 3.095794 | 2.872504 |
| 1.225816772 | 3.099627 | 2.875088 |
| 1.229234619 | 3.103448 | 2.877674 |
| 1.232652954 | 3.107258 | 2.88026 |
| 1.236071655 | 3.111056 | 2.882847 |
| 1.239490845 | 3.114842 | 2.885434 |
| 1.242910522 | 3.118617 | 2.888022 |
| 1.246330811 | 3.122381 | 2.89061 |
| 1.249751343 | 3.126135 | 2.8932 |
| 1.253172485 | 3.129878 | 2.89579 |
| 1.256593994 | 3.133611 | 2.898381 |
| 1.260016113 | 3.137335 | 2.900972 |
| 1.263438721 | 3.141048 | 2.903565 |
| 1.266861572 | 3.144752 | 2.906158 |
| 1.270285156 | 3.148447 | 2.908752 |
| 1.273709106 | 3.152132 | 2.911347 |
| 1.277133545 | 3.155809 | 2.913942 |
| 1.28055835 | 3.159477 | 2.916538 |
| 1.283983765 | 3.163136 | 2.919135 |
| 1.287409668 | 3.166788 | 2.921733 |
| 1.290835938 | 3.170431 | 2.924331 |
| 1.294262695 | 3.174067 | 2.926929 |
| 1.297689941 | 3.177695 | 2.929528 |
| 1.301117676 | 3.181315 | 2.932128 |
| 1.304545898 | 3.184928 | 2.934728 |
| 1.307974609 | 3.188534 | 2.937328 |
| 1.311403687 | 3.192133 | 2.939929 |
| 1.314833374 | 3.195726 | 2.94253 |
| 1.318263428 | 3.199311 | 2.945131 |
| 1.321694092 | 3.202891 | 2.947732 |
| 1.325125122 | 3.206464 | 2.950333 |
| 1.328556519 | 3.210031 | 2.952935 |
| 1.331988525 | 3.213592 | 2.955536 |
| 1.335421021 | 3.217148 | 2.958137 |
| 1.338853882 | 3.220698 | 2.960738 |
| 1.342287354 | 3.224242 | 2.963338 |
| 1.345721191 | 3.227781 | 2.965939 |
| 1.349155518 | 3.231315 | 2.968538 |
| 1.352590454 | 3.234844 | 2.971138 |
| 1.356025635 | 3.238368 | 2.973736 |
| 1.359461426 | 3.241888 | 2.976334 |
| 1.362897705 | 3.245402 | 2.978931 |
| 1.366334351 | 3.248913 | 2.981528 |
| 1.369771606 | 3.252419 | 2.984123 |
| 1.373209229 | 3.255921 | 2.986717 |
| 1.376647339 | 3.259418 | 2.989311 |
| 1.380085938 | 3.262912 | 2.991903 |
| 1.383525024 | 3.266402 | 2.994494 |
| 1.3869646 | 3.269888 | 2.997084 |
| 1.390404541 | 3.273371 | 2.999672 |
| 1.393844971 | 3.27685 | 3.002259 |
| 1.397285889 | 3.280326 | 3.004843 |
| 1.400727417 | 3.283799 | 3.007427 |
| 1.404169312 | 3.287268 | 3.010009 |
| 1.407611694 | 3.290735 | 3.012589 |
| 1.411054443 | 3.294198 | 3.015166 |
| 1.414497803 | 3.297659 | 3.017742 |
| 1.41794165 | 3.301117 | 3.020316 |
| 1.421385864 | 3.304573 | 3.022887 |
| 1.424830688 | 3.308025 | 3.025456 |
| 1.428275757 | 3.311476 | 3.028023 |
| 1.431721436 | 3.314924 | 3.030587 |
| 1.435167725 | 3.31837 | 3.033149 |
| 1.438614258 | 3.321814 | 3.035707 |
| 1.442061279 | 3.325256 | 3.038264 |
| 1.445508911 | 3.328696 | 3.040817 |
| 1.448956909 | 3.332134 | 3.043367 |
| 1.452405518 | 3.33557 | 3.045915 |
| 1.45585437 | 3.339005 | 3.048459 |
| 1.459303955 | 3.342438 | 3.051 |
| 1.462753784 | 3.34587 | 3.053538 |
| 1.466204224 | 3.3493 | 3.056072 |
| 1.469655029 | 3.352729 | 3.058603 |
| 1.473106323 | 3.356156 | 3.06113 |
| 1.476558228 | 3.359583 | 3.063653 |
| 1.480010498 | 3.363008 | 3.066173 |
| 1.483463135 | 3.366433 | 3.068689 |
| 1.486916382 | 3.369856 | 3.071201 |
| 1.490370117 | 3.373279 | 3.073709 |
| 1.493824341 | 3.376701 | 3.076212 |
| 1.497278931 | 3.380123 | 3.078712 |
| 1.500734131 | 3.383543 | 3.081207 |
| 1.504189697 | 3.386964 | 3.083697 |
| 1.507645752 | 3.390384 | 3.086184 |
| 1.511102173 | 3.393804 | 3.088665 |
| 1.514559204 | 3.397223 | 3.091141 |
| 1.518016602 | 3.400643 | 3.093613 |
| 1.521474609 | 3.404062 | 3.096081 |
| 1.524932983 | 3.407481 | 3.098542 |
| 1.528391846 | 3.410901 | 3.100999 |
| 1.531851196 | 3.41432 | 3.103451 |
| 1.535311035 | 3.41774 | 3.105897 |
| 1.53877124 | 3.42116 | 3.108338 |
| 1.542232056 | 3.424581 | 3.110773 |
| 1.545693237 | 3.428002 | 3.113203 |
| 1.549155029 | 3.431423 | 3.115627 |
| 1.552617188 | 3.434846 | 3.118045 |
| 1.556079834 | 3.438269 | 3.120458 |
| 1.559542969 | 3.441693 | 3.122864 |
| 1.563006592 | 3.445118 | 3.125264 |
| 1.566470581 | 3.448544 | 3.127658 |
| 1.569935181 | 3.451971 | 3.130046 |
| 1.573400146 | 3.455399 | 3.132427 |
| 1.576865601 | 3.458829 | 3.134801 |
| 1.580331543 | 3.46226 | 3.137169 |
| 1.583797974 | 3.465693 | 3.13953 |
| 1.587264893 | 3.469127 | 3.141884 |
| 1.590732178 | 3.472563 | 3.144231 |
| 1.594199951 | 3.476001 | 3.146571 |
| 1.597668335 | 3.479441 | 3.148904 |
| 1.601137085 | 3.482882 | 3.151229 |
| 1.604606323 | 3.486326 | 3.153547 |
| 1.60807605 | 3.489773 | 3.155857 |
| 1.611546143 | 3.493221 | 3.158159 |
| 1.615016846 | 3.496672 | 3.160454 |
| 1.618488037 | 3.500126 | 3.16274 |
| 1.621959595 | 3.503582 | 3.165019 |
| 1.625431641 | 3.507042 | 3.167289 |
| 1.628904175 | 3.510504 | 3.16955 |
| 1.632377197 | 3.51397 | 3.171803 |
| 1.635850708 | 3.517439 | 3.174047 |
| 1.639324585 | 3.520911 | 3.176282 |
| 1.642799072 | 3.524387 | 3.178508 |
| 1.646274048 | 3.527867 | 3.180724 |
| 1.649749268 | 3.531351 | 3.182931 |
| 1.65322522 | 3.53484 | 3.185129 |
| 1.656701416 | 3.538332 | 3.187316 |
| 1.660178101 | 3.541829 | 3.189494 |
| 1.663655518 | 3.545332 | 3.191661 |
| 1.667133179 | 3.548839 | 3.193818 |
| 1.670611328 | 3.552351 | 3.195964 |
| 1.674090088 | 3.55587 | 3.198098 |
| 1.677569092 | 3.559394 | 3.200222 |
| 1.681048584 | 3.562924 | 3.202333 |
| 1.684528687 | 3.566462 | 3.204432 |
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
- —
Titanium, Room temperature, 200 nm thin film, electron beam evaporated, vacuum annealed 2 hr 350 °C.