Optical constants
Refractive index of Microchem 950 PMMA 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
- 1.49772
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.24316
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 66.273
- Chromatic dispersion dn/dλ
- -0.0375846 µm⁻¹
- Group index ng
- 1.5198
- Group velocity dispersion
- 79.966 fs²/mm
- Dispersion parameter D
- -436.257 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 950 PMMA resist: Spec sheet: n 0.2–1.1 µm
microchem950 = ls.fetch_refractiveindex("other", "Microchem950", "specs", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(microchem950.range_nm) # (200, 1100) nm
eps = microchem950.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_472c7ec504a1/lightsmith"
microchem950 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(microchem950.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (microchem950/specs).
# ... load microchem950 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=microchem950)],
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 | 1.488 |
| C2 | 0.002898 |
| C3 | -2.0 |
| C4 | 0.0001579 |
| 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 | 1.659137 |
| 0.200856 | 1.656849 |
| 0.201716 | 1.654594 |
| 0.20258 | 1.652372 |
| 0.203447 | 1.650182 |
| 0.204319 | 1.648025 |
| 0.205193 | 1.645899 |
| 0.206072 | 1.643804 |
| 0.206954 | 1.641739 |
| 0.20784 | 1.639705 |
| 0.20873 | 1.6377 |
| 0.209624 | 1.635725 |
| 0.210522 | 1.633778 |
| 0.211423 | 1.631859 |
| 0.212328 | 1.629969 |
| 0.213237 | 1.628105 |
| 0.21415 | 1.626269 |
| 0.215067 | 1.624459 |
| 0.215988 | 1.622675 |
| 0.216913 | 1.620917 |
| 0.217842 | 1.619185 |
| 0.218774 | 1.617477 |
| 0.219711 | 1.615794 |
| 0.220652 | 1.614135 |
| 0.221597 | 1.6125 |
| 0.222545 | 1.610888 |
| 0.223498 | 1.609299 |
| 0.224455 | 1.607733 |
| 0.225416 | 1.606189 |
| 0.226381 | 1.604668 |
| 0.227351 | 1.603168 |
| 0.228324 | 1.60169 |
| 0.229302 | 1.600232 |
| 0.230284 | 1.598795 |
| 0.23127 | 1.597379 |
| 0.23226 | 1.595983 |
| 0.233254 | 1.594606 |
| 0.234253 | 1.593249 |
| 0.235256 | 1.591911 |
| 0.236263 | 1.590592 |
| 0.237275 | 1.589291 |
| 0.238291 | 1.588009 |
| 0.239311 | 1.586745 |
| 0.240336 | 1.585499 |
| 0.241365 | 1.58427 |
| 0.242398 | 1.583058 |
| 0.243436 | 1.581864 |
| 0.244478 | 1.580686 |
| 0.245525 | 1.579524 |
| 0.246577 | 1.578379 |
| 0.247632 | 1.57725 |
| 0.248693 | 1.576136 |
| 0.249757 | 1.575038 |
| 0.250827 | 1.573955 |
| 0.251901 | 1.572887 |
| 0.252979 | 1.571834 |
| 0.254062 | 1.570795 |
| 0.25515 | 1.569771 |
| 0.256243 | 1.568761 |
| 0.25734 | 1.567765 |
| 0.258442 | 1.566782 |
| 0.259548 | 1.565814 |
| 0.26066 | 1.564858 |
| 0.261776 | 1.563915 |
| 0.262897 | 1.562986 |
| 0.264022 | 1.562069 |
| 0.265153 | 1.561164 |
| 0.266288 | 1.560272 |
| 0.267428 | 1.559393 |
| 0.268573 | 1.558525 |
| 0.269723 | 1.557669 |
| 0.270878 | 1.556824 |
| 0.272038 | 1.555991 |
| 0.273203 | 1.555169 |
| 0.274372 | 1.554359 |
| 0.275547 | 1.553559 |
| 0.276727 | 1.55277 |
| 0.277912 | 1.551992 |
| 0.279102 | 1.551224 |
| 0.280297 | 1.550467 |
| 0.281497 | 1.549719 |
| 0.282702 | 1.548982 |
| 0.283913 | 1.548255 |
| 0.285128 | 1.547537 |
| 0.286349 | 1.546829 |
| 0.287575 | 1.54613 |
| 0.288806 | 1.545441 |
| 0.290043 | 1.54476 |
| 0.291285 | 1.544089 |
| 0.292532 | 1.543427 |
| 0.293785 | 1.542773 |
| 0.295043 | 1.542129 |
| 0.296306 | 1.541492 |
| 0.297575 | 1.540864 |
| 0.298849 | 1.540245 |
| 0.300128 | 1.539633 |
| 0.301413 | 1.53903 |
| 0.302704 | 1.538434 |
| 0.304 | 1.537846 |
| 0.305302 | 1.537266 |
| 0.306609 | 1.536694 |
| 0.307922 | 1.536128 |
| 0.30924 | 1.535571 |
| 0.310564 | 1.53502 |
| 0.311894 | 1.534477 |
| 0.313229 | 1.533941 |
| 0.31457 | 1.533412 |
| 0.315917 | 1.532889 |
| 0.31727 | 1.532373 |
| 0.318628 | 1.531864 |
| 0.319993 | 1.531362 |
| 0.321363 | 1.530866 |
| 0.322739 | 1.530376 |
| 0.324121 | 1.529893 |
| 0.325508 | 1.529416 |
| 0.326902 | 1.528945 |
| 0.328302 | 1.52848 |
| 0.329708 | 1.528021 |
| 0.331119 | 1.527567 |
| 0.332537 | 1.52712 |
| 0.333961 | 1.526678 |
| 0.335391 | 1.526242 |
| 0.336827 | 1.525811 |
| 0.338269 | 1.525386 |
| 0.339717 | 1.524966 |
| 0.341172 | 1.524552 |
| 0.342633 | 1.524142 |
| 0.3441 | 1.523738 |
| 0.345573 | 1.523339 |
| 0.347053 | 1.522945 |
| 0.348539 | 1.522556 |
| 0.350031 | 1.522172 |
| 0.35153 | 1.521792 |
| 0.353035 | 1.521417 |
| 0.354546 | 1.521047 |
| 0.356064 | 1.520682 |
| 0.357589 | 1.520321 |
| 0.35912 | 1.519964 |
| 0.360658 | 1.519612 |
| 0.362202 | 1.519264 |
| 0.363753 | 1.518921 |
| 0.36531 | 1.518582 |
| 0.366874 | 1.518247 |
| 0.368445 | 1.517916 |
| 0.370023 | 1.517589 |
| 0.371607 | 1.517266 |
| 0.373198 | 1.516947 |
| 0.374796 | 1.516632 |
| 0.376401 | 1.516321 |
| 0.378013 | 1.516014 |
| 0.379631 | 1.51571 |
| 0.381257 | 1.51541 |
| 0.382889 | 1.515114 |
| 0.384528 | 1.514822 |
| 0.386175 | 1.514532 |
| 0.387828 | 1.514247 |
| 0.389489 | 1.513965 |
| 0.391157 | 1.513686 |
| 0.392831 | 1.51341 |
| 0.394513 | 1.513138 |
| 0.396203 | 1.512869 |
| 0.397899 | 1.512604 |
| 0.399603 | 1.512341 |
| 0.401314 | 1.512082 |
| 0.403032 | 1.511825 |
| 0.404758 | 1.511572 |
| 0.406491 | 1.511322 |
| 0.408231 | 1.511075 |
| 0.409979 | 1.510831 |
| 0.411734 | 1.510589 |
| 0.413497 | 1.510351 |
| 0.415268 | 1.510115 |
| 0.417046 | 1.509882 |
| 0.418832 | 1.509652 |
| 0.420625 | 1.509424 |
| 0.422426 | 1.509199 |
| 0.424235 | 1.508977 |
| 0.426051 | 1.508757 |
| 0.427875 | 1.50854 |
| 0.429707 | 1.508326 |
| 0.431547 | 1.508114 |
| 0.433395 | 1.507904 |
| 0.435251 | 1.507697 |
| 0.437114 | 1.507492 |
| 0.438986 | 1.50729 |
| 0.440865 | 1.50709 |
| 0.442753 | 1.506892 |
| 0.444649 | 1.506697 |
| 0.446553 | 1.506504 |
| 0.448465 | 1.506313 |
| 0.450385 | 1.506124 |
| 0.452313 | 1.505938 |
| 0.45425 | 1.505753 |
| 0.456195 | 1.505571 |
| 0.458148 | 1.505391 |
| 0.46011 | 1.505212 |
| 0.46208 | 1.505036 |
| 0.464058 | 1.504862 |
| 0.466045 | 1.50469 |
| 0.468041 | 1.50452 |
| 0.470045 | 1.504351 |
| 0.472057 | 1.504185 |
| 0.474078 | 1.50402 |
| 0.476108 | 1.503858 |
| 0.478147 | 1.503697 |
| 0.480194 | 1.503538 |
| 0.48225 | 1.50338 |
| 0.484315 | 1.503225 |
| 0.486389 | 1.503071 |
| 0.488471 | 1.502919 |
| 0.490563 | 1.502769 |
| 0.492663 | 1.50262 |
| 0.494773 | 1.502473 |
| 0.496891 | 1.502328 |
| 0.499019 | 1.502184 |
| 0.501155 | 1.502042 |
| 0.503301 | 1.501901 |
| 0.505456 | 1.501762 |
| 0.50762 | 1.501625 |
| 0.509794 | 1.501489 |
| 0.511976 | 1.501354 |
| 0.514169 | 1.501221 |
| 0.51637 | 1.50109 |
| 0.518581 | 1.500959 |
| 0.520801 | 1.500831 |
| 0.523031 | 1.500704 |
| 0.525271 | 1.500578 |
| 0.52752 | 1.500453 |
| 0.529779 | 1.50033 |
| 0.532047 | 1.500208 |
| 0.534325 | 1.500088 |
| 0.536613 | 1.499968 |
| 0.53891 | 1.499851 |
| 0.541218 | 1.499734 |
| 0.543535 | 1.499619 |
| 0.545862 | 1.499504 |
| 0.5482 | 1.499392 |
| 0.550547 | 1.49928 |
| 0.552904 | 1.499169 |
| 0.555272 | 1.49906 |
| 0.557649 | 1.498952 |
| 0.560037 | 1.498845 |
| 0.562435 | 1.498739 |
| 0.564843 | 1.498635 |
| 0.567261 | 1.498531 |
| 0.56969 | 1.498428 |
| 0.572129 | 1.498327 |
| 0.574579 | 1.498227 |
| 0.577039 | 1.498128 |
| 0.57951 | 1.498029 |
| 0.581991 | 1.497932 |
| 0.584483 | 1.497836 |
| 0.586986 | 1.497741 |
| 0.589499 | 1.497647 |
| 0.592023 | 1.497554 |
| 0.594558 | 1.497462 |
| 0.597104 | 1.49737 |
| 0.59966 | 1.49728 |
| 0.602228 | 1.497191 |
| 0.604806 | 1.497103 |
| 0.607396 | 1.497015 |
| 0.609997 | 1.496929 |
| 0.612608 | 1.496843 |
| 0.615231 | 1.496758 |
| 0.617866 | 1.496675 |
| 0.620511 | 1.496592 |
| 0.623168 | 1.49651 |
| 0.625836 | 1.496428 |
| 0.628516 | 1.496348 |
| 0.631207 | 1.496268 |
| 0.63391 | 1.49619 |
| 0.636624 | 1.496112 |
| 0.63935 | 1.496035 |
| 0.642087 | 1.495958 |
| 0.644836 | 1.495883 |
| 0.647597 | 1.495808 |
| 0.65037 | 1.495734 |
| 0.653155 | 1.495661 |
| 0.655951 | 1.495588 |
| 0.65876 | 1.495516 |
| 0.661581 | 1.495445 |
| 0.664413 | 1.495375 |
| 0.667258 | 1.495305 |
| 0.670115 | 1.495237 |
| 0.672984 | 1.495168 |
| 0.675866 | 1.495101 |
| 0.67876 | 1.495034 |
| 0.681666 | 1.494968 |
| 0.684585 | 1.494903 |
| 0.687516 | 1.494838 |
| 0.69046 | 1.494774 |
| 0.693416 | 1.49471 |
| 0.696385 | 1.494647 |
| 0.699367 | 1.494585 |
| 0.702361 | 1.494523 |
| 0.705368 | 1.494462 |
| 0.708388 | 1.494402 |
| 0.711422 | 1.494342 |
| 0.714468 | 1.494283 |
| 0.717527 | 1.494225 |
| 0.720599 | 1.494167 |
| 0.723684 | 1.494109 |
| 0.726783 | 1.494052 |
| 0.729895 | 1.493996 |
| 0.73302 | 1.49394 |
| 0.736159 | 1.493885 |
| 0.739311 | 1.493831 |
| 0.742476 | 1.493777 |
| 0.745655 | 1.493723 |
| 0.748848 | 1.49367 |
| 0.752054 | 1.493618 |
| 0.755274 | 1.493566 |
| 0.758508 | 1.493514 |
| 0.761756 | 1.493463 |
| 0.765017 | 1.493413 |
| 0.768293 | 1.493363 |
| 0.771583 | 1.493313 |
| 0.774886 | 1.493264 |
| 0.778204 | 1.493216 |
| 0.781536 | 1.493168 |
| 0.784882 | 1.49312 |
| 0.788243 | 1.493073 |
| 0.791618 | 1.493027 |
| 0.795007 | 1.49298 |
| 0.798411 | 1.492935 |
| 0.80183 | 1.492889 |
| 0.805263 | 1.492845 |
| 0.808711 | 1.4928 |
| 0.812174 | 1.492756 |
| 0.815651 | 1.492713 |
| 0.819144 | 1.49267 |
| 0.822651 | 1.492627 |
| 0.826173 | 1.492585 |
| 0.829711 | 1.492543 |
| 0.833263 | 1.492501 |
| 0.836831 | 1.49246 |
| 0.840414 | 1.49242 |
| 0.844012 | 1.492379 |
| 0.847626 | 1.492339 |
| 0.851256 | 1.4923 |
| 0.8549 | 1.492261 |
| 0.858561 | 1.492222 |
| 0.862237 | 1.492184 |
| 0.865929 | 1.492146 |
| 0.869636 | 1.492108 |
| 0.87336 | 1.492071 |
| 0.877099 | 1.492034 |
| 0.880855 | 1.491997 |
| 0.884626 | 1.491961 |
| 0.888414 | 1.491925 |
| 0.892218 | 1.49189 |
| 0.896038 | 1.491854 |
| 0.899875 | 1.49182 |
| 0.903728 | 1.491785 |
| 0.907597 | 1.491751 |
| 0.911483 | 1.491717 |
| 0.915386 | 1.491683 |
| 0.919305 | 1.49165 |
| 0.923241 | 1.491617 |
| 0.927195 | 1.491585 |
| 0.931164 | 1.491552 |
| 0.935151 | 1.49152 |
| 0.939155 | 1.491489 |
| 0.943177 | 1.491457 |
| 0.947215 | 1.491426 |
| 0.951271 | 1.491395 |
| 0.955344 | 1.491365 |
| 0.959434 | 1.491335 |
| 0.963542 | 1.491305 |
| 0.967668 | 1.491275 |
| 0.971811 | 1.491246 |
| 0.975972 | 1.491216 |
| 0.980151 | 1.491188 |
| 0.984348 | 1.491159 |
| 0.988562 | 1.491131 |
| 0.992795 | 1.491103 |
| 0.997046 | 1.491075 |
| 1.00131 | 1.491047 |
| 1.0056 | 1.49102 |
| 1.00991 | 1.490993 |
| 1.01423 | 1.490966 |
| 1.01857 | 1.49094 |
| 1.02294 | 1.490914 |
| 1.02732 | 1.490888 |
| 1.03171 | 1.490862 |
| 1.03613 | 1.490836 |
| 1.04057 | 1.490811 |
| 1.04502 | 1.490786 |
| 1.0495 | 1.490761 |
| 1.05399 | 1.490737 |
| 1.0585 | 1.490712 |
| 1.06304 | 1.490688 |
| 1.06759 | 1.490664 |
| 1.07216 | 1.490641 |
| 1.07675 | 1.490617 |
| 1.08136 | 1.490594 |
| 1.08599 | 1.490571 |
| 1.09064 | 1.490548 |
| 1.09531 | 1.490525 |
| 1.1 | 1.490503 |
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 950 PMMA resist