Optical constants
Refractive index of IRG 23 (SCHOTT)
IRG 23: n 1–12 µm
- Data
- formula 1
- Range
- 1–12 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.80687
- Extinction coefficient k
- 0
- Permittivity ε1
- 7.8785
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00755893 µm⁻¹
- Group index ng
- 2.83302
- Group velocity dispersion
- 430.239 fs²/mm
- Dispersion parameter D
- -67.6952 ps/(nm·km)
- Photon energy
- 0.358336 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
# IRG 23 (SCHOTT): IRG 23
schott_irg23 = ls.fetch_refractiveindex("specs", "SCHOTT-infrared", "IRG23", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_irg23.range_nm) # (1000, 12000) nm
eps = schott_irg23.eps([3460]) # 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_b5abefb62346/lightsmith"
schott_irg23 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(schott_irg23.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (schott-irg23/schott).
# ... load schott_irg23 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=schott_irg23)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=1000, stop_nm=12000, 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_b5abefb62346/lightsmith?model=drude_lorentz"
schott_irg23_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 (formula 1), λ in µmValid from 1.0 to 12.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 3.74971 |
| C2 | 3.07065 |
| C3 | 0.498392 |
| C4 | 0.953206 |
| C5 | 40.7557 |
Comments and conditions
References
Cite
SCHOTT Infrared Chalcogenide Glasses - IRG 23 Product flyer (Version May 2013); 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 |
|---|---|
| 1 | 2.972304 |
| 1.00625 | 2.969501 |
| 1.01253 | 2.966753 |
| 1.01886 | 2.964058 |
| 1.02522 | 2.961415 |
| 1.03163 | 2.958822 |
| 1.03807 | 2.956278 |
| 1.04456 | 2.953782 |
| 1.05108 | 2.951333 |
| 1.05765 | 2.94893 |
| 1.06426 | 2.946572 |
| 1.07091 | 2.944257 |
| 1.0776 | 2.941984 |
| 1.08433 | 2.939753 |
| 1.0911 | 2.937563 |
| 1.09792 | 2.935412 |
| 1.10478 | 2.9333 |
| 1.11168 | 2.931226 |
| 1.11863 | 2.929189 |
| 1.12561 | 2.927188 |
| 1.13265 | 2.925222 |
| 1.13972 | 2.923291 |
| 1.14684 | 2.921394 |
| 1.15401 | 2.91953 |
| 1.16122 | 2.917698 |
| 1.16847 | 2.915898 |
| 1.17577 | 2.914129 |
| 1.18312 | 2.91239 |
| 1.19051 | 2.91068 |
| 1.19794 | 2.909 |
| 1.20543 | 2.907349 |
| 1.21296 | 2.905725 |
| 1.22054 | 2.904128 |
| 1.22816 | 2.902558 |
| 1.23583 | 2.901014 |
| 1.24356 | 2.899496 |
| 1.25132 | 2.898003 |
| 1.25914 | 2.896535 |
| 1.26701 | 2.89509 |
| 1.27492 | 2.893669 |
| 1.28289 | 2.892272 |
| 1.2909 | 2.890897 |
| 1.29897 | 2.889544 |
| 1.30708 | 2.888213 |
| 1.31525 | 2.886903 |
| 1.32346 | 2.885615 |
| 1.33173 | 2.884347 |
| 1.34005 | 2.883099 |
| 1.34842 | 2.881871 |
| 1.35685 | 2.880662 |
| 1.36532 | 2.879472 |
| 1.37385 | 2.878301 |
| 1.38244 | 2.877149 |
| 1.39107 | 2.876014 |
| 1.39976 | 2.874897 |
| 1.40851 | 2.873797 |
| 1.41731 | 2.872714 |
| 1.42616 | 2.871648 |
| 1.43507 | 2.870598 |
| 1.44404 | 2.869565 |
| 1.45306 | 2.868547 |
| 1.46214 | 2.867545 |
| 1.47127 | 2.866558 |
| 1.48046 | 2.865585 |
| 1.48971 | 2.864628 |
| 1.49902 | 2.863685 |
| 1.50838 | 2.862756 |
| 1.5178 | 2.861841 |
| 1.52729 | 2.86094 |
| 1.53683 | 2.860052 |
| 1.54643 | 2.859177 |
| 1.55609 | 2.858316 |
| 1.56581 | 2.857467 |
| 1.57559 | 2.856631 |
| 1.58544 | 2.855807 |
| 1.59534 | 2.854995 |
| 1.60531 | 2.854194 |
| 1.61534 | 2.853406 |
| 1.62543 | 2.852629 |
| 1.63558 | 2.851864 |
| 1.6458 | 2.851109 |
| 1.65608 | 2.850366 |
| 1.66643 | 2.849633 |
| 1.67684 | 2.848911 |
| 1.68731 | 2.848199 |
| 1.69786 | 2.847497 |
| 1.70846 | 2.846806 |
| 1.71914 | 2.846124 |
| 1.72988 | 2.845452 |
| 1.74068 | 2.844789 |
| 1.75156 | 2.844136 |
| 1.7625 | 2.843492 |
| 1.77351 | 2.842858 |
| 1.78459 | 2.842232 |
| 1.79574 | 2.841615 |
| 1.80696 | 2.841007 |
| 1.81825 | 2.840407 |
| 1.82961 | 2.839816 |
| 1.84104 | 2.839232 |
| 1.85254 | 2.838657 |
| 1.86411 | 2.83809 |
| 1.87576 | 2.837531 |
| 1.88747 | 2.83698 |
| 1.89927 | 2.836436 |
| 1.91113 | 2.8359 |
| 1.92307 | 2.835371 |
| 1.93508 | 2.834849 |
| 1.94717 | 2.834335 |
| 1.95934 | 2.833827 |
| 1.97158 | 2.833327 |
| 1.98389 | 2.832833 |
| 1.99629 | 2.832346 |
| 2.00876 | 2.831865 |
| 2.02131 | 2.831392 |
| 2.03394 | 2.830924 |
| 2.04664 | 2.830463 |
| 2.05943 | 2.830008 |
| 2.0723 | 2.829559 |
| 2.08524 | 2.829116 |
| 2.09827 | 2.828679 |
| 2.11138 | 2.828248 |
| 2.12457 | 2.827823 |
| 2.13784 | 2.827403 |
| 2.1512 | 2.826989 |
| 2.16463 | 2.82658 |
| 2.17816 | 2.826177 |
| 2.19177 | 2.825779 |
| 2.20546 | 2.825387 |
| 2.21924 | 2.824999 |
| 2.2331 | 2.824617 |
| 2.24705 | 2.824239 |
| 2.26109 | 2.823867 |
| 2.27521 | 2.823499 |
| 2.28943 | 2.823137 |
| 2.30373 | 2.822779 |
| 2.31812 | 2.822425 |
| 2.33261 | 2.822076 |
| 2.34718 | 2.821732 |
| 2.36184 | 2.821392 |
| 2.3766 | 2.821056 |
| 2.39144 | 2.820725 |
| 2.40638 | 2.820398 |
| 2.42142 | 2.820075 |
| 2.43654 | 2.819757 |
| 2.45177 | 2.819442 |
| 2.46708 | 2.819131 |
| 2.48249 | 2.818825 |
| 2.498 | 2.818522 |
| 2.51361 | 2.818223 |
| 2.52931 | 2.817928 |
| 2.54511 | 2.817636 |
| 2.56101 | 2.817348 |
| 2.57701 | 2.817064 |
| 2.59311 | 2.816783 |
| 2.60931 | 2.816506 |
| 2.62561 | 2.816232 |
| 2.64202 | 2.815962 |
| 2.65852 | 2.815694 |
| 2.67513 | 2.815431 |
| 2.69184 | 2.81517 |
| 2.70866 | 2.814913 |
| 2.72558 | 2.814658 |
| 2.74261 | 2.814407 |
| 2.75974 | 2.814159 |
| 2.77698 | 2.813914 |
| 2.79433 | 2.813672 |
| 2.81179 | 2.813433 |
| 2.82935 | 2.813196 |
| 2.84703 | 2.812963 |
| 2.86482 | 2.812732 |
| 2.88271 | 2.812504 |
| 2.90072 | 2.812279 |
| 2.91884 | 2.812056 |
| 2.93708 | 2.811836 |
| 2.95543 | 2.811619 |
| 2.97389 | 2.811404 |
| 2.99247 | 2.811192 |
| 3.01116 | 2.810982 |
| 3.02998 | 2.810774 |
| 3.04891 | 2.810569 |
| 3.06795 | 2.810366 |
| 3.08712 | 2.810166 |
| 3.10641 | 2.809968 |
| 3.12581 | 2.809772 |
| 3.14534 | 2.809578 |
| 3.16499 | 2.809387 |
| 3.18476 | 2.809198 |
| 3.20466 | 2.80901 |
| 3.22468 | 2.808825 |
| 3.24482 | 2.808642 |
| 3.2651 | 2.808461 |
| 3.28549 | 2.808282 |
| 3.30602 | 2.808105 |
| 3.32667 | 2.80793 |
| 3.34745 | 2.807757 |
| 3.36837 | 2.807585 |
| 3.38941 | 2.807416 |
| 3.41058 | 2.807248 |
| 3.43189 | 2.807082 |
| 3.45333 | 2.806917 |
| 3.47491 | 2.806755 |
| 3.49661 | 2.806594 |
| 3.51846 | 2.806435 |
| 3.54044 | 2.806277 |
| 3.56256 | 2.806121 |
| 3.58481 | 2.805967 |
| 3.60721 | 2.805814 |
| 3.62974 | 2.805663 |
| 3.65242 | 2.805513 |
| 3.67524 | 2.805365 |
| 3.6982 | 2.805218 |
| 3.7213 | 2.805072 |
| 3.74455 | 2.804928 |
| 3.76794 | 2.804786 |
| 3.79148 | 2.804644 |
| 3.81517 | 2.804504 |
| 3.839 | 2.804366 |
| 3.86299 | 2.804228 |
| 3.88712 | 2.804092 |
| 3.9114 | 2.803957 |
| 3.93584 | 2.803824 |
| 3.96043 | 2.803691 |
| 3.98517 | 2.80356 |
| 4.01007 | 2.80343 |
| 4.03512 | 2.803301 |
| 4.06033 | 2.803173 |
| 4.08569 | 2.803046 |
| 4.11122 | 2.80292 |
| 4.1369 | 2.802795 |
| 4.16274 | 2.802671 |
| 4.18875 | 2.802549 |
| 4.21492 | 2.802427 |
| 4.24125 | 2.802306 |
| 4.26775 | 2.802186 |
| 4.29441 | 2.802067 |
| 4.32124 | 2.801949 |
| 4.34823 | 2.801832 |
| 4.3754 | 2.801716 |
| 4.40273 | 2.8016 |
| 4.43024 | 2.801486 |
| 4.45791 | 2.801372 |
| 4.48576 | 2.801259 |
| 4.51379 | 2.801146 |
| 4.54199 | 2.801035 |
| 4.57036 | 2.800924 |
| 4.59891 | 2.800814 |
| 4.62764 | 2.800704 |
| 4.65655 | 2.800596 |
| 4.68564 | 2.800487 |
| 4.71492 | 2.80038 |
| 4.74437 | 2.800273 |
| 4.77401 | 2.800167 |
| 4.80384 | 2.800061 |
| 4.83385 | 2.799956 |
| 4.86405 | 2.799851 |
| 4.89443 | 2.799747 |
| 4.92501 | 2.799644 |
| 4.95578 | 2.799541 |
| 4.98674 | 2.799438 |
| 5.01789 | 2.799336 |
| 5.04924 | 2.799234 |
| 5.08078 | 2.799133 |
| 5.11252 | 2.799032 |
| 5.14446 | 2.798932 |
| 5.1766 | 2.798832 |
| 5.20894 | 2.798732 |
| 5.24148 | 2.798633 |
| 5.27423 | 2.798534 |
| 5.30718 | 2.798435 |
| 5.34033 | 2.798337 |
| 5.3737 | 2.798238 |
| 5.40727 | 2.798141 |
| 5.44105 | 2.798043 |
| 5.47504 | 2.797945 |
| 5.50924 | 2.797848 |
| 5.54366 | 2.797751 |
| 5.57829 | 2.797654 |
| 5.61314 | 2.797558 |
| 5.64821 | 2.797461 |
| 5.68349 | 2.797365 |
| 5.719 | 2.797269 |
| 5.75473 | 2.797173 |
| 5.79068 | 2.797076 |
| 5.82686 | 2.79698 |
| 5.86326 | 2.796885 |
| 5.89989 | 2.796789 |
| 5.93675 | 2.796693 |
| 5.97383 | 2.796597 |
| 6.01115 | 2.796501 |
| 6.04871 | 2.796405 |
| 6.0865 | 2.796309 |
| 6.12452 | 2.796213 |
| 6.16278 | 2.796117 |
| 6.20128 | 2.796021 |
| 6.24002 | 2.795924 |
| 6.27901 | 2.795828 |
| 6.31823 | 2.795731 |
| 6.3577 | 2.795635 |
| 6.39742 | 2.795538 |
| 6.43739 | 2.79544 |
| 6.47761 | 2.795343 |
| 6.51807 | 2.795246 |
| 6.55879 | 2.795148 |
| 6.59977 | 2.79505 |
| 6.641 | 2.794951 |
| 6.68249 | 2.794853 |
| 6.72423 | 2.794754 |
| 6.76624 | 2.794654 |
| 6.80851 | 2.794555 |
| 6.85105 | 2.794455 |
| 6.89385 | 2.794354 |
| 6.93691 | 2.794254 |
| 6.98025 | 2.794153 |
| 7.02386 | 2.794051 |
| 7.06774 | 2.793949 |
| 7.11189 | 2.793846 |
| 7.15632 | 2.793743 |
| 7.20103 | 2.79364 |
| 7.24602 | 2.793536 |
| 7.29128 | 2.793431 |
| 7.33684 | 2.793326 |
| 7.38267 | 2.79322 |
| 7.42879 | 2.793114 |
| 7.4752 | 2.793007 |
| 7.5219 | 2.792899 |
| 7.56889 | 2.792791 |
| 7.61618 | 2.792682 |
| 7.66376 | 2.792572 |
| 7.71164 | 2.792462 |
| 7.75981 | 2.792351 |
| 7.80829 | 2.792239 |
| 7.85707 | 2.792127 |
| 7.90616 | 2.792013 |
| 7.95555 | 2.791899 |
| 8.00525 | 2.791784 |
| 8.05526 | 2.791668 |
| 8.10558 | 2.791551 |
| 8.15622 | 2.791433 |
| 8.20717 | 2.791315 |
| 8.25845 | 2.791195 |
| 8.31004 | 2.791074 |
| 8.36195 | 2.790953 |
| 8.41419 | 2.79083 |
| 8.46676 | 2.790707 |
| 8.51965 | 2.790582 |
| 8.57288 | 2.790456 |
| 8.62644 | 2.790329 |
| 8.68033 | 2.790201 |
| 8.73456 | 2.790072 |
| 8.78912 | 2.789941 |
| 8.84403 | 2.78981 |
| 8.89928 | 2.789677 |
| 8.95488 | 2.789543 |
| 9.01082 | 2.789407 |
| 9.06711 | 2.789271 |
| 9.12376 | 2.789132 |
| 9.18076 | 2.788993 |
| 9.23811 | 2.788852 |
| 9.29582 | 2.78871 |
| 9.3539 | 2.788566 |
| 9.41233 | 2.788421 |
| 9.47114 | 2.788274 |
| 9.5303 | 2.788125 |
| 9.58984 | 2.787975 |
| 9.64975 | 2.787824 |
| 9.71004 | 2.787671 |
| 9.7707 | 2.787516 |
| 9.83174 | 2.787359 |
| 9.89316 | 2.787201 |
| 9.95497 | 2.787041 |
| 10.0172 | 2.786879 |
| 10.0797 | 2.786715 |
| 10.1427 | 2.78655 |
| 10.2061 | 2.786382 |
| 10.2698 | 2.786212 |
| 10.334 | 2.786041 |
| 10.3986 | 2.785867 |
| 10.4635 | 2.785692 |
| 10.5289 | 2.785514 |
| 10.5947 | 2.785334 |
| 10.6608 | 2.785152 |
| 10.7274 | 2.784968 |
| 10.7945 | 2.784782 |
| 10.8619 | 2.784593 |
| 10.9298 | 2.784402 |
| 10.998 | 2.784208 |
| 11.0667 | 2.784012 |
| 11.1359 | 2.783814 |
| 11.2055 | 2.783612 |
| 11.2755 | 2.783409 |
| 11.3459 | 2.783203 |
| 11.4168 | 2.782994 |
| 11.4881 | 2.782782 |
| 11.5599 | 2.782568 |
| 11.6321 | 2.782351 |
| 11.7048 | 2.78213 |
| 11.7779 | 2.781907 |
| 11.8515 | 2.781681 |
| 11.9255 | 2.781452 |
| 12 | 2.78122 |
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
- —
20 °C