Optical constants
Refractive index of (C2H6OSi)n (Polydimethylsiloxane, PDMS)
Schneider et al. 2009: Sylgard 184; n 0.35–0.70 µm
- Data
- formula 2
- Range
- 0.35–0.7 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.43156
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.04937
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 44.566
- Chromatic dispersion dn/dλ
- -0.0495294 µm⁻¹
- Group index ng
- 1.46067
- Group velocity dispersion
- 95.0442 fs²/mm
- Dispersion parameter D
- -518.516 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
# (C2H6OSi)n (Polydimethylsiloxane, PDMS): Schneider et al. 2009: Sylgard 184; n 0.35–0.70 µm
mat = ls.fetch_refractiveindex("organic", "polydimethylsiloxane", "Schneider-Sylgard184", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm) # (350, 700) nm
eps = mat.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_96ed2e69d68d/lightsmith"
mat = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(mat.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (polydimethylsiloxane/schneider-2009-sylgard184).
# ... load mat as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=mat)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=700, 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"]).
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_96ed2e69d68d/lightsmith?model=drude_lorentz"
mat_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))
A dispersive Drude–Lorentz model for time-domain solvers.
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
Sellmeier (C in µm²) (formula 2), λ in µmValid from 0.35 to 0.7 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 1.0093 |
| C3 | 0.013185 |
Comments and conditions
References
- doi:10.1016/j.sna.2009.01.026 Process and material properties of polydimethylsiloxane (PDMS) for Optical MEMS, Sensors and Actuators A: Physical (2009)
Cite
Florian Schneider, Jan Draheim, Robert Kamberger and Ulrike Wallrabe. Process and material properties of polydimethylsiloxane (PDMS) for Optical MEMS. Sensors and Actuators A: Physical, 151, 95-99 (2009), doi:10.1016/j.sna.2009.01.026; 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 |
|---|---|
| 0.35 | 1.459807 |
| 0.350609 | 1.459645 |
| 0.351218 | 1.459484 |
| 0.351829 | 1.459323 |
| 0.352441 | 1.459163 |
| 0.353053 | 1.459004 |
| 0.353667 | 1.458845 |
| 0.354282 | 1.458687 |
| 0.354898 | 1.45853 |
| 0.355515 | 1.458373 |
| 0.356133 | 1.458217 |
| 0.356753 | 1.458062 |
| 0.357373 | 1.457907 |
| 0.357994 | 1.457753 |
| 0.358617 | 1.4576 |
| 0.35924 | 1.457447 |
| 0.359865 | 1.457295 |
| 0.360491 | 1.457143 |
| 0.361117 | 1.456992 |
| 0.361745 | 1.456842 |
| 0.362374 | 1.456692 |
| 0.363004 | 1.456543 |
| 0.363635 | 1.456395 |
| 0.364268 | 1.456247 |
| 0.364901 | 1.4561 |
| 0.365536 | 1.455953 |
| 0.366171 | 1.455807 |
| 0.366808 | 1.455662 |
| 0.367446 | 1.455517 |
| 0.368084 | 1.455373 |
| 0.368724 | 1.455229 |
| 0.369366 | 1.455086 |
| 0.370008 | 1.454944 |
| 0.370651 | 1.454802 |
| 0.371296 | 1.454661 |
| 0.371941 | 1.45452 |
| 0.372588 | 1.45438 |
| 0.373236 | 1.454241 |
| 0.373885 | 1.454102 |
| 0.374535 | 1.453963 |
| 0.375186 | 1.453825 |
| 0.375838 | 1.453688 |
| 0.376492 | 1.453552 |
| 0.377146 | 1.453415 |
| 0.377802 | 1.45328 |
| 0.378459 | 1.453145 |
| 0.379117 | 1.45301 |
| 0.379776 | 1.452876 |
| 0.380437 | 1.452743 |
| 0.381098 | 1.45261 |
| 0.381761 | 1.452478 |
| 0.382424 | 1.452346 |
| 0.383089 | 1.452215 |
| 0.383755 | 1.452084 |
| 0.384423 | 1.451954 |
| 0.385091 | 1.451825 |
| 0.385761 | 1.451695 |
| 0.386431 | 1.451567 |
| 0.387103 | 1.451439 |
| 0.387776 | 1.451311 |
| 0.388451 | 1.451184 |
| 0.389126 | 1.451058 |
| 0.389803 | 1.450932 |
| 0.39048 | 1.450806 |
| 0.391159 | 1.450681 |
| 0.391839 | 1.450557 |
| 0.392521 | 1.450433 |
| 0.393203 | 1.450309 |
| 0.393887 | 1.450186 |
| 0.394572 | 1.450064 |
| 0.395258 | 1.449942 |
| 0.395945 | 1.449821 |
| 0.396633 | 1.4497 |
| 0.397323 | 1.449579 |
| 0.398014 | 1.449459 |
| 0.398706 | 1.449339 |
| 0.399399 | 1.44922 |
| 0.400094 | 1.449102 |
| 0.400789 | 1.448984 |
| 0.401486 | 1.448866 |
| 0.402184 | 1.448749 |
| 0.402883 | 1.448632 |
| 0.403584 | 1.448516 |
| 0.404286 | 1.4484 |
| 0.404989 | 1.448285 |
| 0.405693 | 1.44817 |
| 0.406398 | 1.448056 |
| 0.407105 | 1.447942 |
| 0.407813 | 1.447828 |
| 0.408522 | 1.447715 |
| 0.409232 | 1.447603 |
| 0.409944 | 1.44749 |
| 0.410656 | 1.447379 |
| 0.41137 | 1.447267 |
| 0.412086 | 1.447157 |
| 0.412802 | 1.447046 |
| 0.41352 | 1.446936 |
| 0.414239 | 1.446827 |
| 0.414959 | 1.446718 |
| 0.415681 | 1.446609 |
| 0.416403 | 1.446501 |
| 0.417127 | 1.446393 |
| 0.417853 | 1.446286 |
| 0.418579 | 1.446179 |
| 0.419307 | 1.446073 |
| 0.420036 | 1.445967 |
| 0.420766 | 1.445861 |
| 0.421498 | 1.445756 |
| 0.422231 | 1.445651 |
| 0.422965 | 1.445546 |
| 0.4237 | 1.445442 |
| 0.424437 | 1.445339 |
| 0.425175 | 1.445236 |
| 0.425914 | 1.445133 |
| 0.426655 | 1.445031 |
| 0.427397 | 1.444929 |
| 0.42814 | 1.444827 |
| 0.428884 | 1.444726 |
| 0.42963 | 1.444625 |
| 0.430377 | 1.444525 |
| 0.431125 | 1.444425 |
| 0.431875 | 1.444325 |
| 0.432626 | 1.444226 |
| 0.433378 | 1.444127 |
| 0.434131 | 1.444029 |
| 0.434886 | 1.443931 |
| 0.435642 | 1.443833 |
| 0.4364 | 1.443736 |
| 0.437159 | 1.443639 |
| 0.437919 | 1.443543 |
| 0.43868 | 1.443447 |
| 0.439443 | 1.443351 |
| 0.440207 | 1.443256 |
| 0.440972 | 1.443161 |
| 0.441739 | 1.443066 |
| 0.442507 | 1.442972 |
| 0.443277 | 1.442878 |
| 0.444047 | 1.442784 |
| 0.444819 | 1.442691 |
| 0.445593 | 1.442598 |
| 0.446368 | 1.442506 |
| 0.447144 | 1.442414 |
| 0.447921 | 1.442322 |
| 0.4487 | 1.442231 |
| 0.44948 | 1.44214 |
| 0.450262 | 1.442049 |
| 0.451044 | 1.441959 |
| 0.451829 | 1.441869 |
| 0.452614 | 1.44178 |
| 0.453401 | 1.44169 |
| 0.45419 | 1.441601 |
| 0.454979 | 1.441513 |
| 0.45577 | 1.441425 |
| 0.456563 | 1.441337 |
| 0.457357 | 1.441249 |
| 0.458152 | 1.441162 |
| 0.458949 | 1.441075 |
| 0.459747 | 1.440989 |
| 0.460546 | 1.440903 |
| 0.461347 | 1.440817 |
| 0.462149 | 1.440731 |
| 0.462952 | 1.440646 |
| 0.463757 | 1.440561 |
| 0.464564 | 1.440477 |
| 0.465371 | 1.440392 |
| 0.466181 | 1.440309 |
| 0.466991 | 1.440225 |
| 0.467803 | 1.440142 |
| 0.468616 | 1.440059 |
| 0.469431 | 1.439976 |
| 0.470247 | 1.439894 |
| 0.471065 | 1.439812 |
| 0.471884 | 1.439731 |
| 0.472705 | 1.439649 |
| 0.473526 | 1.439568 |
| 0.47435 | 1.439488 |
| 0.475175 | 1.439407 |
| 0.476001 | 1.439327 |
| 0.476828 | 1.439247 |
| 0.477657 | 1.439168 |
| 0.478488 | 1.439089 |
| 0.47932 | 1.43901 |
| 0.480153 | 1.438931 |
| 0.480988 | 1.438853 |
| 0.481825 | 1.438775 |
| 0.482662 | 1.438697 |
| 0.483501 | 1.43862 |
| 0.484342 | 1.438543 |
| 0.485184 | 1.438466 |
| 0.486028 | 1.43839 |
| 0.486873 | 1.438314 |
| 0.48772 | 1.438238 |
| 0.488568 | 1.438162 |
| 0.489417 | 1.438087 |
| 0.490268 | 1.438012 |
| 0.49112 | 1.437937 |
| 0.491974 | 1.437863 |
| 0.49283 | 1.437788 |
| 0.493687 | 1.437715 |
| 0.494545 | 1.437641 |
| 0.495405 | 1.437568 |
| 0.496266 | 1.437495 |
| 0.497129 | 1.437422 |
| 0.497993 | 1.437349 |
| 0.498859 | 1.437277 |
| 0.499727 | 1.437205 |
| 0.500596 | 1.437134 |
| 0.501466 | 1.437062 |
| 0.502338 | 1.436991 |
| 0.503211 | 1.43692 |
| 0.504086 | 1.43685 |
| 0.504963 | 1.436779 |
| 0.505841 | 1.436709 |
| 0.50672 | 1.43664 |
| 0.507601 | 1.43657 |
| 0.508484 | 1.436501 |
| 0.509368 | 1.436432 |
| 0.510254 | 1.436363 |
| 0.511141 | 1.436295 |
| 0.51203 | 1.436227 |
| 0.51292 | 1.436159 |
| 0.513812 | 1.436091 |
| 0.514705 | 1.436023 |
| 0.5156 | 1.435956 |
| 0.516496 | 1.435889 |
| 0.517394 | 1.435823 |
| 0.518294 | 1.435756 |
| 0.519195 | 1.43569 |
| 0.520098 | 1.435624 |
| 0.521002 | 1.435559 |
| 0.521908 | 1.435493 |
| 0.522816 | 1.435428 |
| 0.523725 | 1.435363 |
| 0.524635 | 1.435298 |
| 0.525547 | 1.435234 |
| 0.526461 | 1.43517 |
| 0.527377 | 1.435106 |
| 0.528294 | 1.435042 |
| 0.529212 | 1.434979 |
| 0.530132 | 1.434915 |
| 0.531054 | 1.434852 |
| 0.531977 | 1.43479 |
| 0.532902 | 1.434727 |
| 0.533829 | 1.434665 |
| 0.534757 | 1.434603 |
| 0.535687 | 1.434541 |
| 0.536618 | 1.434479 |
| 0.537551 | 1.434418 |
| 0.538486 | 1.434357 |
| 0.539422 | 1.434296 |
| 0.54036 | 1.434235 |
| 0.5413 | 1.434175 |
| 0.542241 | 1.434115 |
| 0.543184 | 1.434055 |
| 0.544128 | 1.433995 |
| 0.545074 | 1.433935 |
| 0.546022 | 1.433876 |
| 0.546971 | 1.433817 |
| 0.547922 | 1.433758 |
| 0.548875 | 1.4337 |
| 0.549829 | 1.433641 |
| 0.550785 | 1.433583 |
| 0.551743 | 1.433525 |
| 0.552702 | 1.433467 |
| 0.553663 | 1.43341 |
| 0.554626 | 1.433352 |
| 0.55559 | 1.433295 |
| 0.556556 | 1.433238 |
| 0.557524 | 1.433182 |
| 0.558493 | 1.433125 |
| 0.559465 | 1.433069 |
| 0.560437 | 1.433013 |
| 0.561412 | 1.432957 |
| 0.562388 | 1.432901 |
| 0.563366 | 1.432846 |
| 0.564345 | 1.43279 |
| 0.565326 | 1.432735 |
| 0.566309 | 1.432681 |
| 0.567294 | 1.432626 |
| 0.56828 | 1.432572 |
| 0.569269 | 1.432517 |
| 0.570258 | 1.432463 |
| 0.57125 | 1.43241 |
| 0.572243 | 1.432356 |
| 0.573238 | 1.432303 |
| 0.574235 | 1.432249 |
| 0.575233 | 1.432196 |
| 0.576233 | 1.432144 |
| 0.577235 | 1.432091 |
| 0.578239 | 1.432038 |
| 0.579244 | 1.431986 |
| 0.580251 | 1.431934 |
| 0.58126 | 1.431882 |
| 0.582271 | 1.431831 |
| 0.583283 | 1.431779 |
| 0.584298 | 1.431728 |
| 0.585314 | 1.431677 |
| 0.586331 | 1.431626 |
| 0.587351 | 1.431575 |
| 0.588372 | 1.431525 |
| 0.589395 | 1.431474 |
| 0.59042 | 1.431424 |
| 0.591446 | 1.431374 |
| 0.592475 | 1.431325 |
| 0.593505 | 1.431275 |
| 0.594537 | 1.431226 |
| 0.59557 | 1.431176 |
| 0.596606 | 1.431127 |
| 0.597643 | 1.431079 |
| 0.598682 | 1.43103 |
| 0.599723 | 1.430981 |
| 0.600766 | 1.430933 |
| 0.601811 | 1.430885 |
| 0.602857 | 1.430837 |
| 0.603905 | 1.430789 |
| 0.604955 | 1.430742 |
| 0.606007 | 1.430694 |
| 0.607061 | 1.430647 |
| 0.608116 | 1.4306 |
| 0.609174 | 1.430553 |
| 0.610233 | 1.430506 |
| 0.611294 | 1.43046 |
| 0.612357 | 1.430413 |
| 0.613421 | 1.430367 |
| 0.614488 | 1.430321 |
| 0.615556 | 1.430275 |
| 0.616627 | 1.430229 |
| 0.617699 | 1.430184 |
| 0.618773 | 1.430139 |
| 0.619849 | 1.430093 |
| 0.620927 | 1.430048 |
| 0.622006 | 1.430003 |
| 0.623088 | 1.429959 |
| 0.624171 | 1.429914 |
| 0.625256 | 1.42987 |
| 0.626343 | 1.429826 |
| 0.627432 | 1.429782 |
| 0.628523 | 1.429738 |
| 0.629616 | 1.429694 |
| 0.630711 | 1.42965 |
| 0.631808 | 1.429607 |
| 0.632906 | 1.429564 |
| 0.634007 | 1.429521 |
| 0.635109 | 1.429478 |
| 0.636213 | 1.429435 |
| 0.637319 | 1.429392 |
| 0.638428 | 1.42935 |
| 0.639538 | 1.429308 |
| 0.64065 | 1.429265 |
| 0.641763 | 1.429223 |
| 0.642879 | 1.429182 |
| 0.643997 | 1.42914 |
| 0.645117 | 1.429098 |
| 0.646238 | 1.429057 |
| 0.647362 | 1.429016 |
| 0.648488 | 1.428975 |
| 0.649615 | 1.428934 |
| 0.650745 | 1.428893 |
| 0.651876 | 1.428852 |
| 0.65301 | 1.428812 |
| 0.654145 | 1.428772 |
| 0.655282 | 1.428731 |
| 0.656422 | 1.428691 |
| 0.657563 | 1.428651 |
| 0.658706 | 1.428612 |
| 0.659852 | 1.428572 |
| 0.660999 | 1.428533 |
| 0.662148 | 1.428493 |
| 0.6633 | 1.428454 |
| 0.664453 | 1.428415 |
| 0.665608 | 1.428376 |
| 0.666766 | 1.428338 |
| 0.667925 | 1.428299 |
| 0.669086 | 1.42826 |
| 0.67025 | 1.428222 |
| 0.671415 | 1.428184 |
| 0.672582 | 1.428146 |
| 0.673752 | 1.428108 |
| 0.674923 | 1.42807 |
| 0.676097 | 1.428033 |
| 0.677272 | 1.427995 |
| 0.67845 | 1.427958 |
| 0.679629 | 1.427921 |
| 0.680811 | 1.427884 |
| 0.681995 | 1.427847 |
| 0.683181 | 1.42781 |
| 0.684369 | 1.427773 |
| 0.685558 | 1.427737 |
| 0.68675 | 1.4277 |
| 0.687945 | 1.427664 |
| 0.689141 | 1.427628 |
| 0.690339 | 1.427592 |
| 0.691539 | 1.427556 |
| 0.692742 | 1.42752 |
| 0.693946 | 1.427485 |
| 0.695153 | 1.427449 |
| 0.696361 | 1.427414 |
| 0.697572 | 1.427379 |
| 0.698785 | 1.427343 |
| 0.7 | 1.427308 |
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
- —
Sylgard 184 (Dow)