Optical constants
Refractive index of Microchem 8.5 mEL copolymer resist
Spec sheet: n 0.2–1.1 µm
- Data
- formula 5
- Range
- 0.2–1.1 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.483
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.1993
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 84.321
- Chromatic dispersion dn/dλ
- -0.0269617 µm⁻¹
- Group index ng
- 1.49885
- Group velocity dispersion
- 73.7409 fs²/mm
- Dispersion parameter D
- -402.296 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
# Microchem 8.5 mEL copolymer resist: Spec sheet: n 0.2–1.1 µm
microchem85mel = ls.fetch_refractiveindex("other", "Microchem85mEL", "specs", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(microchem85mel.range_nm) # (200, 1100) nm
eps = microchem85mel.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_ef0ebe6302cd/lightsmith"
microchem85mel = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(microchem85mel.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (microchem85mel/specs).
# ... load microchem85mel as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=microchem85mel)],
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.
Dispersion formula
Cauchy (formula 5), λ in µmValid from 0.2 to 1.1 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.478 |
| C2 | 0.0007204 |
| C3 | -2.0 |
| C4 | 0.0003478 |
| C5 | -4.0 |
Comments and conditions
References
Cite
Microchem PMMA Datasheet, 2001; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 400 wavelengths, the same grid as the API and the library| λ (µm) | n |
|---|---|
| 0.2 | 1.713385 |
| 0.200856 | 1.709548 |
| 0.201716 | 1.705775 |
| 0.20258 | 1.702065 |
| 0.203447 | 1.698416 |
| 0.204319 | 1.694828 |
| 0.205193 | 1.6913 |
| 0.206072 | 1.68783 |
| 0.206954 | 1.684417 |
| 0.20784 | 1.681061 |
| 0.20873 | 1.677761 |
| 0.209624 | 1.674516 |
| 0.210522 | 1.671324 |
| 0.211423 | 1.668185 |
| 0.212328 | 1.665099 |
| 0.213237 | 1.662063 |
| 0.21415 | 1.659078 |
| 0.215067 | 1.656142 |
| 0.215988 | 1.653255 |
| 0.216913 | 1.650415 |
| 0.217842 | 1.647623 |
| 0.218774 | 1.644877 |
| 0.219711 | 1.642176 |
| 0.220652 | 1.63952 |
| 0.221597 | 1.636908 |
| 0.222545 | 1.634339 |
| 0.223498 | 1.631812 |
| 0.224455 | 1.629328 |
| 0.225416 | 1.626884 |
| 0.226381 | 1.624481 |
| 0.227351 | 1.622117 |
| 0.228324 | 1.619793 |
| 0.229302 | 1.617507 |
| 0.230284 | 1.615258 |
| 0.23127 | 1.613047 |
| 0.23226 | 1.610872 |
| 0.233254 | 1.608734 |
| 0.234253 | 1.60663 |
| 0.235256 | 1.604561 |
| 0.236263 | 1.602526 |
| 0.237275 | 1.600525 |
| 0.238291 | 1.598557 |
| 0.239311 | 1.596621 |
| 0.240336 | 1.594717 |
| 0.241365 | 1.592845 |
| 0.242398 | 1.591003 |
| 0.243436 | 1.589191 |
| 0.244478 | 1.58741 |
| 0.245525 | 1.585658 |
| 0.246577 | 1.583934 |
| 0.247632 | 1.582239 |
| 0.248693 | 1.580572 |
| 0.249757 | 1.578932 |
| 0.250827 | 1.577319 |
| 0.251901 | 1.575733 |
| 0.252979 | 1.574173 |
| 0.254062 | 1.572638 |
| 0.25515 | 1.571128 |
| 0.256243 | 1.569644 |
| 0.25734 | 1.568183 |
| 0.258442 | 1.566747 |
| 0.259548 | 1.565334 |
| 0.26066 | 1.563944 |
| 0.261776 | 1.562578 |
| 0.262897 | 1.561233 |
| 0.264022 | 1.559911 |
| 0.265153 | 1.55861 |
| 0.266288 | 1.55733 |
| 0.267428 | 1.556072 |
| 0.268573 | 1.554834 |
| 0.269723 | 1.553616 |
| 0.270878 | 1.552418 |
| 0.272038 | 1.55124 |
| 0.273203 | 1.550081 |
| 0.274372 | 1.548941 |
| 0.275547 | 1.54782 |
| 0.276727 | 1.546717 |
| 0.277912 | 1.545632 |
| 0.279102 | 1.544564 |
| 0.280297 | 1.543515 |
| 0.281497 | 1.542482 |
| 0.282702 | 1.541466 |
| 0.283913 | 1.540466 |
| 0.285128 | 1.539483 |
| 0.286349 | 1.538516 |
| 0.287575 | 1.537565 |
| 0.288806 | 1.536629 |
| 0.290043 | 1.535708 |
| 0.291285 | 1.534803 |
| 0.292532 | 1.533912 |
| 0.293785 | 1.533036 |
| 0.295043 | 1.532173 |
| 0.296306 | 1.531325 |
| 0.297575 | 1.530491 |
| 0.298849 | 1.52967 |
| 0.300128 | 1.528863 |
| 0.301413 | 1.528068 |
| 0.302704 | 1.527287 |
| 0.304 | 1.526518 |
| 0.305302 | 1.525761 |
| 0.306609 | 1.525017 |
| 0.307922 | 1.524285 |
| 0.30924 | 1.523565 |
| 0.310564 | 1.522857 |
| 0.311894 | 1.522159 |
| 0.313229 | 1.521474 |
| 0.31457 | 1.520799 |
| 0.315917 | 1.520135 |
| 0.31727 | 1.519482 |
| 0.318628 | 1.518839 |
| 0.319993 | 1.518207 |
| 0.321363 | 1.517585 |
| 0.322739 | 1.516973 |
| 0.324121 | 1.516371 |
| 0.325508 | 1.515779 |
| 0.326902 | 1.515196 |
| 0.328302 | 1.514623 |
| 0.329708 | 1.514059 |
| 0.331119 | 1.513504 |
| 0.332537 | 1.512957 |
| 0.333961 | 1.51242 |
| 0.335391 | 1.511891 |
| 0.336827 | 1.511371 |
| 0.338269 | 1.510859 |
| 0.339717 | 1.510355 |
| 0.341172 | 1.50986 |
| 0.342633 | 1.509372 |
| 0.3441 | 1.508892 |
| 0.345573 | 1.50842 |
| 0.347053 | 1.507956 |
| 0.348539 | 1.507498 |
| 0.350031 | 1.507049 |
| 0.35153 | 1.506606 |
| 0.353035 | 1.50617 |
| 0.354546 | 1.505742 |
| 0.356064 | 1.50532 |
| 0.357589 | 1.504905 |
| 0.35912 | 1.504497 |
| 0.360658 | 1.504095 |
| 0.362202 | 1.503699 |
| 0.363753 | 1.50331 |
| 0.36531 | 1.502927 |
| 0.366874 | 1.50255 |
| 0.368445 | 1.50218 |
| 0.370023 | 1.501815 |
| 0.371607 | 1.501455 |
| 0.373198 | 1.501102 |
| 0.374796 | 1.500754 |
| 0.376401 | 1.500412 |
| 0.378013 | 1.500075 |
| 0.379631 | 1.499744 |
| 0.381257 | 1.499417 |
| 0.382889 | 1.499096 |
| 0.384528 | 1.49878 |
| 0.386175 | 1.498469 |
| 0.387828 | 1.498163 |
| 0.389489 | 1.497862 |
| 0.391157 | 1.497565 |
| 0.392831 | 1.497273 |
| 0.394513 | 1.496986 |
| 0.396203 | 1.496704 |
| 0.397899 | 1.496425 |
| 0.399603 | 1.496152 |
| 0.401314 | 1.495882 |
| 0.403032 | 1.495617 |
| 0.404758 | 1.495356 |
| 0.406491 | 1.495099 |
| 0.408231 | 1.494846 |
| 0.409979 | 1.494597 |
| 0.411734 | 1.494352 |
| 0.413497 | 1.49411 |
| 0.415268 | 1.493873 |
| 0.417046 | 1.493639 |
| 0.418832 | 1.493409 |
| 0.420625 | 1.493183 |
| 0.422426 | 1.49296 |
| 0.424235 | 1.49274 |
| 0.426051 | 1.492524 |
| 0.427875 | 1.492312 |
| 0.429707 | 1.492102 |
| 0.431547 | 1.491896 |
| 0.433395 | 1.491693 |
| 0.435251 | 1.491494 |
| 0.437114 | 1.491297 |
| 0.438986 | 1.491104 |
| 0.440865 | 1.490913 |
| 0.442753 | 1.490726 |
| 0.444649 | 1.490541 |
| 0.446553 | 1.490359 |
| 0.448465 | 1.49018 |
| 0.450385 | 1.490004 |
| 0.452313 | 1.489831 |
| 0.45425 | 1.48966 |
| 0.456195 | 1.489492 |
| 0.458148 | 1.489326 |
| 0.46011 | 1.489163 |
| 0.46208 | 1.489003 |
| 0.464058 | 1.488845 |
| 0.466045 | 1.488689 |
| 0.468041 | 1.488536 |
| 0.470045 | 1.488385 |
| 0.472057 | 1.488237 |
| 0.474078 | 1.488091 |
| 0.476108 | 1.487947 |
| 0.478147 | 1.487805 |
| 0.480194 | 1.487665 |
| 0.48225 | 1.487528 |
| 0.484315 | 1.487393 |
| 0.486389 | 1.487259 |
| 0.488471 | 1.487128 |
| 0.490563 | 1.486999 |
| 0.492663 | 1.486872 |
| 0.494773 | 1.486747 |
| 0.496891 | 1.486623 |
| 0.499019 | 1.486502 |
| 0.501155 | 1.486382 |
| 0.503301 | 1.486264 |
| 0.505456 | 1.486148 |
| 0.50762 | 1.486034 |
| 0.509794 | 1.485921 |
| 0.511976 | 1.48581 |
| 0.514169 | 1.485701 |
| 0.51637 | 1.485594 |
| 0.518581 | 1.485488 |
| 0.520801 | 1.485384 |
| 0.523031 | 1.485281 |
| 0.525271 | 1.48518 |
| 0.52752 | 1.48508 |
| 0.529779 | 1.484982 |
| 0.532047 | 1.484885 |
| 0.534325 | 1.48479 |
| 0.536613 | 1.484696 |
| 0.53891 | 1.484604 |
| 0.541218 | 1.484513 |
| 0.543535 | 1.484423 |
| 0.545862 | 1.484335 |
| 0.5482 | 1.484248 |
| 0.550547 | 1.484163 |
| 0.552904 | 1.484078 |
| 0.555272 | 1.483995 |
| 0.557649 | 1.483913 |
| 0.560037 | 1.483832 |
| 0.562435 | 1.483753 |
| 0.564843 | 1.483675 |
| 0.567261 | 1.483598 |
| 0.56969 | 1.483522 |
| 0.572129 | 1.483447 |
| 0.574579 | 1.483373 |
| 0.577039 | 1.4833 |
| 0.57951 | 1.483229 |
| 0.581991 | 1.483158 |
| 0.584483 | 1.483089 |
| 0.586986 | 1.483021 |
| 0.589499 | 1.482953 |
| 0.592023 | 1.482887 |
| 0.594558 | 1.482821 |
| 0.597104 | 1.482757 |
| 0.59966 | 1.482693 |
| 0.602228 | 1.48263 |
| 0.604806 | 1.482569 |
| 0.607396 | 1.482508 |
| 0.609997 | 1.482448 |
| 0.612608 | 1.482389 |
| 0.615231 | 1.482331 |
| 0.617866 | 1.482274 |
| 0.620511 | 1.482217 |
| 0.623168 | 1.482161 |
| 0.625836 | 1.482106 |
| 0.628516 | 1.482052 |
| 0.631207 | 1.481999 |
| 0.63391 | 1.481947 |
| 0.636624 | 1.481895 |
| 0.63935 | 1.481844 |
| 0.642087 | 1.481794 |
| 0.644836 | 1.481744 |
| 0.647597 | 1.481695 |
| 0.65037 | 1.481647 |
| 0.653155 | 1.4816 |
| 0.655951 | 1.481553 |
| 0.65876 | 1.481507 |
| 0.661581 | 1.481461 |
| 0.664413 | 1.481417 |
| 0.667258 | 1.481373 |
| 0.670115 | 1.481329 |
| 0.672984 | 1.481286 |
| 0.675866 | 1.481244 |
| 0.67876 | 1.481202 |
| 0.681666 | 1.481161 |
| 0.684585 | 1.481121 |
| 0.687516 | 1.481081 |
| 0.69046 | 1.481041 |
| 0.693416 | 1.481003 |
| 0.696385 | 1.480964 |
| 0.699367 | 1.480927 |
| 0.702361 | 1.48089 |
| 0.705368 | 1.480853 |
| 0.708388 | 1.480817 |
| 0.711422 | 1.480781 |
| 0.714468 | 1.480746 |
| 0.717527 | 1.480711 |
| 0.720599 | 1.480677 |
| 0.723684 | 1.480644 |
| 0.726783 | 1.48061 |
| 0.729895 | 1.480578 |
| 0.73302 | 1.480545 |
| 0.736159 | 1.480514 |
| 0.739311 | 1.480482 |
| 0.742476 | 1.480451 |
| 0.745655 | 1.480421 |
| 0.748848 | 1.480391 |
| 0.752054 | 1.480361 |
| 0.755274 | 1.480332 |
| 0.758508 | 1.480303 |
| 0.761756 | 1.480274 |
| 0.765017 | 1.480246 |
| 0.768293 | 1.480219 |
| 0.771583 | 1.480191 |
| 0.774886 | 1.480164 |
| 0.778204 | 1.480138 |
| 0.781536 | 1.480112 |
| 0.784882 | 1.480086 |
| 0.788243 | 1.48006 |
| 0.791618 | 1.480035 |
| 0.795007 | 1.48001 |
| 0.798411 | 1.479986 |
| 0.80183 | 1.479962 |
| 0.805263 | 1.479938 |
| 0.808711 | 1.479915 |
| 0.812174 | 1.479891 |
| 0.815651 | 1.479869 |
| 0.819144 | 1.479846 |
| 0.822651 | 1.479824 |
| 0.826173 | 1.479802 |
| 0.829711 | 1.47978 |
| 0.833263 | 1.479759 |
| 0.836831 | 1.479738 |
| 0.840414 | 1.479717 |
| 0.844012 | 1.479697 |
| 0.847626 | 1.479676 |
| 0.851256 | 1.479657 |
| 0.8549 | 1.479637 |
| 0.858561 | 1.479617 |
| 0.862237 | 1.479598 |
| 0.865929 | 1.479579 |
| 0.869636 | 1.479561 |
| 0.87336 | 1.479542 |
| 0.877099 | 1.479524 |
| 0.880855 | 1.479506 |
| 0.884626 | 1.479488 |
| 0.888414 | 1.479471 |
| 0.892218 | 1.479454 |
| 0.896038 | 1.479437 |
| 0.899875 | 1.47942 |
| 0.903728 | 1.479403 |
| 0.907597 | 1.479387 |
| 0.911483 | 1.479371 |
| 0.915386 | 1.479355 |
| 0.919305 | 1.479339 |
| 0.923241 | 1.479324 |
| 0.927195 | 1.479309 |
| 0.931164 | 1.479293 |
| 0.935151 | 1.479279 |
| 0.939155 | 1.479264 |
| 0.943177 | 1.479249 |
| 0.947215 | 1.479235 |
| 0.951271 | 1.479221 |
| 0.955344 | 1.479207 |
| 0.959434 | 1.479193 |
| 0.963542 | 1.479179 |
| 0.967668 | 1.479166 |
| 0.971811 | 1.479153 |
| 0.975972 | 1.47914 |
| 0.980151 | 1.479127 |
| 0.984348 | 1.479114 |
| 0.988562 | 1.479101 |
| 0.992795 | 1.479089 |
| 0.997046 | 1.479077 |
| 1.00131 | 1.479064 |
| 1.0056 | 1.479053 |
| 1.00991 | 1.479041 |
| 1.01423 | 1.479029 |
| 1.01857 | 1.479017 |
| 1.02294 | 1.479006 |
| 1.02732 | 1.478995 |
| 1.03171 | 1.478984 |
| 1.03613 | 1.478973 |
| 1.04057 | 1.478962 |
| 1.04502 | 1.478951 |
| 1.0495 | 1.478941 |
| 1.05399 | 1.47893 |
| 1.0585 | 1.47892 |
| 1.06304 | 1.47891 |
| 1.06759 | 1.4789 |
| 1.07216 | 1.47889 |
| 1.07675 | 1.47888 |
| 1.08136 | 1.47887 |
| 1.08599 | 1.478861 |
| 1.09064 | 1.478851 |
| 1.09531 | 1.478842 |
| 1.1 | 1.478833 |
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
- —
Microchem 8.5 mEL copolymer resist