Optical constants
Refractive index of LAL18 (OHARA)
LAL18: n 0.334–2.325 µm
- Data
- formula 3 + tabulated k
- Range
- 0.334–2.325 µm
- Temperature
- 298 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.72915
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.98997
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 54.683
- Chromatic dispersion dn/dλ
- -0.0688239 µm⁻¹
- Group index ng
- 1.7696
- Group velocity dispersion
- 120.881 fs²/mm
- Dispersion parameter D
- -659.47 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
# LAL18 (OHARA): LAL18
ohara_lal18 = ls.fetch_refractiveindex("specs", "OHARA-optical", "LAL18", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_lal18.range_nm) # (334, 2325) nm
eps = ohara_lal18.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_e9b0b770babe/lightsmith"
ohara_lal18 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ohara_lal18.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (ohara-lal18/ohara).
# ... load ohara_lal18 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ohara_lal18)],
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
Polynomial (formula 3), λ in µmValid from 0.334 to 2.325 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 2.934239 |
| C2 | -0.015232638 |
| C3 | 2.0 |
| C4 | 0.01968169 |
| C5 | -2.0 |
| C6 | 0.00052343197 |
| C7 | -4.0 |
| C8 | -1.9855288e-05 |
| C9 | -6.0 |
| C10 | 1.1787472e-06 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 298 K
Properties
- nd
- 1.729157
- Vd
- 54.683134
- glass code
- 729547
- glass status
- preferred
References
See also OHARA glass data sheets
Cite
OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp); See also OHARA glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 412 wavelengths, the same grid as the API and the library| λ (µm) | n | k |
|---|---|---|
| 0.334 | 1.773228 | 0 |
| 0.335628 | 1.772547 | 0 |
| 0.337264 | 1.771875 | 0 |
| 0.338908 | 1.771212 | 0 |
| 0.340561 | 1.770556 | 0 |
| 0.342221 | 1.769909 | 0 |
| 0.343889 | 1.769269 | 0 |
| 0.345565 | 1.768638 | 0 |
| 0.34725 | 1.768014 | 0 |
| 0.348943 | 1.767398 | 0 |
| 0.35 | 1.767018 | 0 |
| 0.350644 | 1.766789 | 0 |
| 0.352353 | 1.766188 | 0 |
| 0.354071 | 1.765594 | 0 |
| 0.355797 | 1.765007 | 0 |
| 0.357531 | 1.764427 | 0 |
| 0.359274 | 1.763854 | 0 |
| 0.361026 | 1.763288 | 0 |
| 0.362786 | 1.762729 | 0 |
| 0.364554 | 1.762176 | 0 |
| 0.365 | 1.762038 | 0 |
| 0.366331 | 1.76163 | 0 |
| 0.368117 | 1.76109 | 0 |
| 0.369912 | 1.760556 | 0 |
| 0.37 | 1.76053 | 0 |
| 0.371715 | 1.760029 | 0 |
| 0.373527 | 1.759508 | 0 |
| 0.375348 | 1.758993 | 0 |
| 0.377177 | 1.758483 | 0 |
| 0.379016 | 1.75798 | 0 |
| 0.38 | 1.757714 | 0 |
| 0.380864 | 1.757483 | 0 |
| 0.38272 | 1.756991 | 0 |
| 0.384586 | 1.756504 | 0 |
| 0.386461 | 1.756024 | 0 |
| 0.388345 | 1.755549 | 0 |
| 0.39 | 1.755137 | 0 |
| 0.390238 | 1.755079 | 0 |
| 0.39214 | 1.754614 | 0 |
| 0.394052 | 1.754155 | 0 |
| 0.395973 | 1.753701 | 0 |
| 0.397903 | 1.753252 | 0 |
| 0.399843 | 1.752808 | 0 |
| 0.4 | 1.752772 | 0 |
| 0.401792 | 1.752369 | 0 |
| 0.403751 | 1.751935 | 0 |
| 0.405719 | 1.751505 | 0 |
| 0.407697 | 1.751081 | 0 |
| 0.409684 | 1.750661 | 0 |
| 0.411681 | 1.750245 | 0 |
| 0.413688 | 1.749835 | 0 |
| 0.415705 | 1.749429 | 0 |
| 0.417731 | 1.749027 | 0 |
| 0.419768 | 1.748629 | 0 |
| 0.42 | 1.748584 | 0 |
| 0.421814 | 1.748236 | 0 |
| 0.42387 | 1.747848 | 0 |
| 0.425937 | 1.747463 | 0 |
| 0.428013 | 1.747083 | 0 |
| 0.4301 | 1.746706 | 0 |
| 0.432196 | 1.746334 | 0 |
| 0.434303 | 1.745966 | 0 |
| 0.43642 | 1.745602 | 0 |
| 0.438548 | 1.745241 | 0 |
| 0.440686 | 1.744885 | 0 |
| 0.442834 | 1.744532 | 0 |
| 0.444993 | 1.744183 | 0 |
| 0.447162 | 1.743838 | 0 |
| 0.449342 | 1.743496 | 0 |
| 0.451532 | 1.743158 | 0 |
| 0.453733 | 1.742824 | 0 |
| 0.455945 | 1.742493 | 0 |
| 0.458168 | 1.742165 | 0 |
| 0.46 | 1.741899 | 0 |
| 0.460401 | 1.741841 | 0 |
| 0.462646 | 1.74152 | 0 |
| 0.464901 | 1.741203 | 0 |
| 0.467167 | 1.740889 | 0 |
| 0.469445 | 1.740578 | 0 |
| 0.471733 | 1.740271 | 0 |
| 0.474033 | 1.739966 | 0 |
| 0.476344 | 1.739665 | 0 |
| 0.478666 | 1.739367 | 0 |
| 0.480999 | 1.739072 | 0 |
| 0.483344 | 1.73878 | 0 |
| 0.4857 | 1.738491 | 0 |
| 0.488068 | 1.738205 | 0 |
| 0.490447 | 1.737921 | 0 |
| 0.492838 | 1.737641 | 0 |
| 0.49524 | 1.737363 | 0 |
| 0.497655 | 1.737089 | 0 |
| 0.5 | 1.736826 | 0 |
| 0.500081 | 1.736817 | 0 |
| 0.502518 | 1.736547 | 0 |
| 0.504968 | 1.736281 | 0 |
| 0.50743 | 1.736017 | 0 |
| 0.509903 | 1.735756 | 0 |
| 0.512389 | 1.735497 | 0 |
| 0.514887 | 1.735241 | 0 |
| 0.517397 | 1.734987 | 0 |
| 0.519919 | 1.734736 | 0 |
| 0.522454 | 1.734488 | 0 |
| 0.525001 | 1.734242 | 0 |
| 0.52756 | 1.733998 | 0 |
| 0.530132 | 1.733756 | 0 |
| 0.532716 | 1.733517 | 0 |
| 0.535313 | 1.733281 | 0 |
| 0.537922 | 1.733046 | 0 |
| 0.540545 | 1.732814 | 0 |
| 0.54318 | 1.732584 | 0 |
| 0.545828 | 1.732356 | 0 |
| 0.548488 | 1.732131 | 0 |
| 0.551162 | 1.731907 | 0 |
| 0.553849 | 1.731686 | 0 |
| 0.556549 | 1.731467 | 0 |
| 0.559262 | 1.73125 | 0 |
| 0.561988 | 1.731035 | 0 |
| 0.564728 | 1.730822 | 0 |
| 0.567481 | 1.73061 | 0 |
| 0.570247 | 1.730401 | 0 |
| 0.573027 | 1.730194 | 0 |
| 0.575821 | 1.729989 | 0 |
| 0.578628 | 1.729785 | 0 |
| 0.581448 | 1.729584 | 0 |
| 0.584283 | 1.729384 | 0 |
| 0.587131 | 1.729186 | 0 |
| 0.589993 | 1.72899 | 0 |
| 0.592869 | 1.728796 | 0 |
| 0.59576 | 1.728604 | 0 |
| 0.598664 | 1.728413 | 0 |
| 0.601582 | 1.728224 | 0 |
| 0.604515 | 1.728036 | 0 |
| 0.607462 | 1.72785 | 0 |
| 0.610423 | 1.727666 | 0 |
| 0.613399 | 1.727484 | 0 |
| 0.616389 | 1.727303 | 0 |
| 0.619394 | 1.727123 | 0 |
| 0.622413 | 1.726946 | 0 |
| 0.625447 | 1.726769 | 0 |
| 0.628496 | 1.726595 | 0 |
| 0.63156 | 1.726421 | 0 |
| 0.634639 | 1.72625 | 0 |
| 0.637733 | 1.726079 | 0 |
| 0.640841 | 1.72591 | 0 |
| 0.643965 | 1.725743 | 0 |
| 0.647105 | 1.725577 | 0 |
| 0.650259 | 1.725412 | 0 |
| 0.653429 | 1.725249 | 0 |
| 0.656614 | 1.725087 | 0 |
| 0.659815 | 1.724926 | 0 |
| 0.66 | 1.724917 | 0 |
| 0.663032 | 1.724767 | 0 |
| 0.666264 | 1.724608 | 0 |
| 0.669512 | 1.724452 | 0 |
| 0.672776 | 1.724296 | 0 |
| 0.676055 | 1.724142 | 0 |
| 0.679351 | 1.723988 | 0 |
| 0.682663 | 1.723836 | 0 |
| 0.685991 | 1.723686 | 0 |
| 0.689335 | 1.723536 | 0 |
| 0.692695 | 1.723387 | 0 |
| 0.696072 | 1.72324 | 0 |
| 0.699465 | 1.723094 | 0 |
| 0.702875 | 1.722949 | 0 |
| 0.706301 | 1.722805 | 0 |
| 0.709744 | 1.722662 | 0 |
| 0.713204 | 1.72252 | 0 |
| 0.716681 | 1.722379 | 0 |
| 0.720175 | 1.722239 | 0 |
| 0.723686 | 1.7221 | 0 |
| 0.727213 | 1.721962 | 0 |
| 0.730758 | 1.721825 | 0 |
| 0.734321 | 1.721689 | 0 |
| 0.7379 | 1.721554 | 0 |
| 0.741498 | 1.72142 | 0 |
| 0.745112 | 1.721286 | 0 |
| 0.748745 | 1.721154 | 0 |
| 0.752395 | 1.721023 | 0 |
| 0.756062 | 1.720892 | 0 |
| 0.759748 | 1.720762 | 0 |
| 0.763452 | 1.720633 | 0 |
| 0.767173 | 1.720505 | 0 |
| 0.770913 | 1.720378 | 0 |
| 0.774671 | 1.720251 | 0 |
| 0.778448 | 1.720126 | 0 |
| 0.782243 | 1.720001 | 0 |
| 0.786056 | 1.719877 | 0 |
| 0.789888 | 1.719753 | 0 |
| 0.793738 | 1.71963 | 0 |
| 0.797608 | 1.719508 | 0 |
| 0.801496 | 1.719387 | 0 |
| 0.805403 | 1.719266 | 0 |
| 0.809329 | 1.719147 | 0 |
| 0.813275 | 1.719027 | 0 |
| 0.817239 | 1.718909 | 0 |
| 0.821223 | 1.718791 | 0 |
| 0.825226 | 1.718673 | 0 |
| 0.829249 | 1.718557 | 0 |
| 0.833292 | 1.71844 | 0 |
| 0.837354 | 1.718325 | 0 |
| 0.841436 | 1.71821 | 0 |
| 0.845538 | 1.718096 | 0 |
| 0.84966 | 1.717982 | 0 |
| 0.853801 | 1.717868 | 0 |
| 0.857964 | 1.717756 | 0 |
| 0.862146 | 1.717643 | 0 |
| 0.866349 | 1.717532 | 0 |
| 0.870572 | 1.71742 | 0 |
| 0.874816 | 1.717309 | 0 |
| 0.879081 | 1.717199 | 0 |
| 0.883366 | 1.717089 | 0 |
| 0.887672 | 1.71698 | 0 |
| 0.892 | 1.716871 | 0 |
| 0.896348 | 1.716762 | 0 |
| 0.900717 | 1.716654 | 0 |
| 0.905108 | 1.716546 | 0 |
| 0.909521 | 1.716439 | 0 |
| 0.913954 | 1.716332 | 0 |
| 0.91841 | 1.716225 | 0 |
| 0.922887 | 1.716119 | 0 |
| 0.927386 | 1.716013 | 0 |
| 0.931907 | 1.715908 | 0 |
| 0.936449 | 1.715802 | 0 |
| 0.941015 | 1.715697 | 0 |
| 0.945602 | 1.715593 | 0 |
| 0.950211 | 1.715488 | 0 |
| 0.954844 | 1.715384 | 0 |
| 0.959498 | 1.715281 | 0 |
| 0.964176 | 1.715177 | 0 |
| 0.968876 | 1.715074 | 0 |
| 0.973599 | 1.714971 | 0 |
| 0.978345 | 1.714868 | 0 |
| 0.983114 | 1.714765 | 0 |
| 0.987907 | 1.714663 | 0 |
| 0.992723 | 1.714561 | 0 |
| 0.997562 | 1.714459 | 0 |
| 1.00243 | 1.714357 | 0 |
| 1.00731 | 1.714255 | 0 |
| 1.01222 | 1.714153 | 0 |
| 1.01716 | 1.714052 | 0 |
| 1.02212 | 1.713951 | 0 |
| 1.0271 | 1.71385 | 0 |
| 1.0321 | 1.713749 | 0 |
| 1.03714 | 1.713648 | 0 |
| 1.04219 | 1.713547 | 0 |
| 1.04727 | 1.713446 | 0 |
| 1.05238 | 1.713346 | 0 |
| 1.05751 | 1.713245 | 0 |
| 1.06 | 1.713196 | 0 |
| 1.06266 | 1.713144 | 0 |
| 1.06784 | 1.713044 | 0 |
| 1.07305 | 1.712943 | 0 |
| 1.07828 | 1.712843 | 0 |
| 1.08354 | 1.712743 | 0 |
| 1.08882 | 1.712642 | 0 |
| 1.09413 | 1.712542 | 0 |
| 1.09946 | 1.712441 | 0 |
| 1.10482 | 1.712341 | 0 |
| 1.11021 | 1.71224 | 0 |
| 1.11562 | 1.71214 | 0 |
| 1.12106 | 1.712039 | 0 |
| 1.12652 | 1.711938 | 0 |
| 1.13201 | 1.711838 | 0 |
| 1.13753 | 1.711737 | 0 |
| 1.14308 | 1.711636 | 0 |
| 1.14865 | 1.711535 | 0 |
| 1.15425 | 1.711433 | 0 |
| 1.15987 | 1.711332 | 0 |
| 1.16553 | 1.711231 | 0 |
| 1.17121 | 1.711129 | 0 |
| 1.17692 | 1.711027 | 0 |
| 1.18266 | 1.710925 | 0 |
| 1.18842 | 1.710823 | 0 |
| 1.19422 | 1.710721 | 0 |
| 1.20004 | 1.710618 | 0 |
| 1.20589 | 1.710516 | 0 |
| 1.21177 | 1.710413 | 0 |
| 1.21767 | 1.71031 | 0 |
| 1.22361 | 1.710206 | 0 |
| 1.22957 | 1.710103 | 0 |
| 1.23557 | 1.709999 | 0 |
| 1.24159 | 1.709895 | 0 |
| 1.24764 | 1.70979 | 0 |
| 1.25373 | 1.709685 | 0 |
| 1.25984 | 1.70958 | 0 |
| 1.26598 | 1.709475 | 0 |
| 1.27215 | 1.709369 | 0 |
| 1.27835 | 1.709263 | 0 |
| 1.28458 | 1.709157 | 0 |
| 1.29085 | 1.70905 | 0 |
| 1.29714 | 1.708943 | 0 |
| 1.30346 | 1.708836 | 0 |
| 1.30982 | 1.708728 | 0 |
| 1.3162 | 1.70862 | 0 |
| 1.32262 | 1.708511 | 0 |
| 1.32907 | 1.708402 | 0 |
| 1.33554 | 1.708293 | 0 |
| 1.34205 | 1.708183 | 0 |
| 1.3486 | 1.708073 | 0 |
| 1.35517 | 1.707962 | 0 |
| 1.36178 | 1.707851 | 0 |
| 1.36842 | 1.707739 | 0 |
| 1.37509 | 1.707627 | 0 |
| 1.38179 | 1.707514 | 0 |
| 1.38853 | 1.707401 | 0 |
| 1.39529 | 1.707287 | 0 |
| 1.4021 | 1.707173 | 0 |
| 1.40893 | 1.707058 | 0 |
| 1.4158 | 1.706942 | 0 |
| 1.4227 | 1.706826 | 0 |
| 1.42964 | 1.70671 | 0 |
| 1.43661 | 1.706593 | 0 |
| 1.44361 | 1.706475 | 0 |
| 1.45065 | 1.706357 | 0 |
| 1.45772 | 1.706238 | 0 |
| 1.46482 | 1.706118 | 0 |
| 1.47197 | 1.705998 | 0 |
| 1.47914 | 1.705877 | 0 |
| 1.48635 | 1.705755 | 0 |
| 1.4936 | 1.705633 | 0 |
| 1.50088 | 1.70551 | 0 |
| 1.5082 | 1.705386 | 0 |
| 1.51555 | 1.705262 | 0 |
| 1.52294 | 1.705137 | 0 |
| 1.529 | 1.705034 | 0 |
| 1.53036 | 1.705011 | 0 |
| 1.53782 | 1.704884 | 0 |
| 1.54532 | 1.704757 | 0 |
| 1.55285 | 1.704629 | 0 |
| 1.56042 | 1.7045 | 0 |
| 1.56803 | 1.70437 | 0 |
| 1.57567 | 1.704239 | 0 |
| 1.58335 | 1.704108 | 0 |
| 1.59107 | 1.703976 | 0 |
| 1.59883 | 1.703842 | 0 |
| 1.60662 | 1.703708 | 0 |
| 1.61445 | 1.703574 | 0 |
| 1.62232 | 1.703438 | 0 |
| 1.63023 | 1.703301 | 0 |
| 1.63818 | 1.703164 | 0 |
| 1.64616 | 1.703025 | 0 |
| 1.65419 | 1.702885 | 0 |
| 1.66225 | 1.702745 | 0 |
| 1.67036 | 1.702604 | 0 |
| 1.6785 | 1.702461 | 0 |
| 1.68668 | 1.702318 | 0 |
| 1.6949 | 1.702173 | 0 |
| 1.70317 | 1.702028 | 0 |
| 1.71147 | 1.701881 | 0 |
| 1.71981 | 1.701734 | 0 |
| 1.72819 | 1.701585 | 0 |
| 1.73662 | 1.701435 | 0 |
| 1.74509 | 1.701285 | 0 |
| 1.75359 | 1.701133 | 0 |
| 1.76214 | 1.70098 | 0 |
| 1.77073 | 1.700825 | 0 |
| 1.77936 | 1.70067 | 0 |
| 1.78804 | 1.700513 | 0 |
| 1.79675 | 1.700356 | 0 |
| 1.80551 | 1.700197 | 0 |
| 1.81431 | 1.700036 | 0 |
| 1.82316 | 1.699875 | 0 |
| 1.83205 | 1.699712 | 0 |
| 1.84098 | 1.699548 | 0 |
| 1.84995 | 1.699383 | 0 |
| 1.85897 | 1.699217 | 0 |
| 1.86803 | 1.699049 | 0 |
| 1.87714 | 1.69888 | 0 |
| 1.88629 | 1.698709 | 0 |
| 1.89548 | 1.698537 | 0 |
| 1.90472 | 1.698364 | 0 |
| 1.91401 | 1.698189 | 0 |
| 1.92334 | 1.698013 | 0 |
| 1.93272 | 1.697835 | 0 |
| 1.94214 | 1.697656 | 0 |
| 1.95161 | 1.697476 | 0 |
| 1.96112 | 1.697294 | 0 |
| 1.97068 | 1.697111 | 0 |
| 1.98029 | 1.696926 | 0 |
| 1.98994 | 1.696739 | 0 |
| 1.99964 | 1.696551 | 0 |
| 2.00939 | 1.696361 | 0 |
| 2.01918 | 1.69617 | 0 |
| 2.02903 | 1.695977 | 0 |
| 2.03892 | 1.695783 | 0 |
| 2.04886 | 1.695586 | 0 |
| 2.05885 | 1.695389 | 0 |
| 2.06888 | 1.695189 | 0 |
| 2.07897 | 1.694988 | 0 |
| 2.0891 | 1.694785 | 0 |
| 2.09929 | 1.69458 | 0 |
| 2.10952 | 1.694374 | 0 |
| 2.1198 | 1.694165 | 0 |
| 2.13014 | 1.693955 | 0 |
| 2.14052 | 1.693743 | 0 |
| 2.15096 | 1.693529 | 0 |
| 2.16144 | 1.693314 | 0 |
| 2.17198 | 1.693096 | 0 |
| 2.18257 | 1.692877 | 0 |
| 2.19321 | 1.692655 | 0 |
| 2.2039 | 1.692432 | 0 |
| 2.21464 | 1.692207 | 0 |
| 2.22544 | 1.691979 | 0 |
| 2.23629 | 1.69175 | 0 |
| 2.24719 | 1.691518 | 0 |
| 2.25814 | 1.691285 | 0 |
| 2.26915 | 1.691049 | 0 |
| 2.28021 | 1.690812 | 0 |
| 2.29133 | 1.690572 | 0 |
| 2.3025 | 1.69033 | 0 |
| 2.31372 | 1.690085 | 0 |
| 2.325 | 1.689839 | 0 |
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
- —