Optical constants
Refractive index of E-LASF04 (HIKARI)
E-LASF04: n 0.4–0.7 µm
- Data
- formula 3 + tabulated k
- Range
- 0.4–0.7 µm
- Temperature
- 296 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.81554
- Extinction coefficient k
- 0
- Permittivity ε1
- 3.29617
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 44.342
- Chromatic dispersion dn/dλ
- -0.0942469 µm⁻¹
- Group index ng
- 1.87092
- Group velocity dispersion
- 173.79 fs²/mm
- Dispersion parameter D
- -948.119 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
# E-LASF04 (HIKARI): E-LASF04
hikari_e_lasf04 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF04", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf04.range_nm) # (400, 700) nm
eps = hikari_e_lasf04.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_d45a5adea4ed/lightsmith"
hikari_e_lasf04 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(hikari_e_lasf04.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (hikari-e-lasf04/hikari).
# ... load hikari_e_lasf04 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=hikari_e_lasf04)],
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"]).
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 0.4 to 0.7 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 3.20360786 |
| C2 | -0.00877554777 |
| C3 | 2.0 |
| C4 | 0.0332446054 |
| C5 | -2.0 |
| C6 | -0.000432887979 |
| C7 | -4.0 |
| C8 | 0.000134715955 |
| C9 | -6.0 |
| C10 | -4.716471e-06 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 296 K
Properties
- nd
- 1.815540
- Vd
- 44.342093
- glass status
- preferred
- density
- value: 4560
- thermal expansion
- value: 7.6e-06, temperature range: 243 343
- dPgF
- -0.009
References
Cite
NIKON Zemax catalog 2017-11 (obtained from http://www.nikon.com); See also HIKARI 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 400 wavelengths, the same grid as the API and the library| λ (µm) | n | k |
|---|---|---|
| 0.4 | 1.84899 | 0 |
| 0.400561 | 1.848805 | 0 |
| 0.401124 | 1.84862 | 0 |
| 0.401687 | 1.848435 | 0 |
| 0.40225 | 1.848252 | 0 |
| 0.402815 | 1.848069 | 0 |
| 0.40338 | 1.847886 | 0 |
| 0.403946 | 1.847704 | 0 |
| 0.404513 | 1.847523 | 0 |
| 0.405081 | 1.847343 | 0 |
| 0.40565 | 1.847163 | 0 |
| 0.406219 | 1.846984 | 0 |
| 0.406789 | 1.846805 | 0 |
| 0.40736 | 1.846627 | 0 |
| 0.407932 | 1.84645 | 0 |
| 0.408504 | 1.846273 | 0 |
| 0.409078 | 1.846097 | 0 |
| 0.409652 | 1.845921 | 0 |
| 0.410227 | 1.845746 | 0 |
| 0.410803 | 1.845572 | 0 |
| 0.411379 | 1.845398 | 0 |
| 0.411957 | 1.845225 | 0 |
| 0.412535 | 1.845053 | 0 |
| 0.413114 | 1.844881 | 0 |
| 0.413694 | 1.84471 | 0 |
| 0.414274 | 1.844539 | 0 |
| 0.414856 | 1.844369 | 0 |
| 0.415438 | 1.8442 | 0 |
| 0.416021 | 1.844031 | 0 |
| 0.416605 | 1.843863 | 0 |
| 0.41719 | 1.843695 | 0 |
| 0.417775 | 1.843528 | 0 |
| 0.418362 | 1.843361 | 0 |
| 0.418949 | 1.843195 | 0 |
| 0.419537 | 1.84303 | 0 |
| 0.420126 | 1.842865 | 0 |
| 0.420715 | 1.842701 | 0 |
| 0.421306 | 1.842537 | 0 |
| 0.421897 | 1.842374 | 0 |
| 0.422489 | 1.842212 | 0 |
| 0.423082 | 1.84205 | 0 |
| 0.423676 | 1.841888 | 0 |
| 0.424271 | 1.841727 | 0 |
| 0.424866 | 1.841567 | 0 |
| 0.425462 | 1.841407 | 0 |
| 0.42606 | 1.841248 | 0 |
| 0.426658 | 1.841089 | 0 |
| 0.427256 | 1.840931 | 0 |
| 0.427856 | 1.840774 | 0 |
| 0.428457 | 1.840617 | 0 |
| 0.429058 | 1.84046 | 0 |
| 0.42966 | 1.840304 | 0 |
| 0.430263 | 1.840149 | 0 |
| 0.430867 | 1.839994 | 0 |
| 0.431472 | 1.83984 | 0 |
| 0.432077 | 1.839686 | 0 |
| 0.432684 | 1.839532 | 0 |
| 0.433291 | 1.83938 | 0 |
| 0.433899 | 1.839227 | 0 |
| 0.434508 | 1.839076 | 0 |
| 0.435118 | 1.838924 | 0 |
| 0.435729 | 1.838774 | 0 |
| 0.43634 | 1.838623 | 0 |
| 0.436953 | 1.838474 | 0 |
| 0.437566 | 1.838324 | 0 |
| 0.43818 | 1.838176 | 0 |
| 0.438795 | 1.838028 | 0 |
| 0.439411 | 1.83788 | 0 |
| 0.440028 | 1.837733 | 0 |
| 0.440645 | 1.837586 | 0 |
| 0.441264 | 1.83744 | 0 |
| 0.441883 | 1.837294 | 0 |
| 0.442503 | 1.837149 | 0 |
| 0.443124 | 1.837004 | 0 |
| 0.443746 | 1.83686 | 0 |
| 0.444369 | 1.836716 | 0 |
| 0.444993 | 1.836573 | 0 |
| 0.445617 | 1.83643 | 0 |
| 0.446243 | 1.836287 | 0 |
| 0.446869 | 1.836146 | 0 |
| 0.447496 | 1.836004 | 0 |
| 0.448124 | 1.835863 | 0 |
| 0.448753 | 1.835723 | 0 |
| 0.449383 | 1.835583 | 0 |
| 0.450014 | 1.835443 | 0 |
| 0.450645 | 1.835304 | 0 |
| 0.451278 | 1.835166 | 0 |
| 0.451911 | 1.835028 | 0 |
| 0.452546 | 1.83489 | 0 |
| 0.453181 | 1.834753 | 0 |
| 0.453817 | 1.834616 | 0 |
| 0.454454 | 1.83448 | 0 |
| 0.455092 | 1.834344 | 0 |
| 0.45573 | 1.834208 | 0 |
| 0.45637 | 1.834073 | 0 |
| 0.457011 | 1.833939 | 0 |
| 0.457652 | 1.833805 | 0 |
| 0.458294 | 1.833671 | 0 |
| 0.458938 | 1.833538 | 0 |
| 0.459582 | 1.833405 | 0 |
| 0.460227 | 1.833273 | 0 |
| 0.460873 | 1.833141 | 0 |
| 0.461519 | 1.83301 | 0 |
| 0.462167 | 1.832879 | 0 |
| 0.462816 | 1.832748 | 0 |
| 0.463465 | 1.832618 | 0 |
| 0.464116 | 1.832488 | 0 |
| 0.464767 | 1.832359 | 0 |
| 0.46542 | 1.83223 | 0 |
| 0.466073 | 1.832101 | 0 |
| 0.466727 | 1.831973 | 0 |
| 0.467382 | 1.831846 | 0 |
| 0.468038 | 1.831718 | 0 |
| 0.468695 | 1.831592 | 0 |
| 0.469353 | 1.831465 | 0 |
| 0.470012 | 1.831339 | 0 |
| 0.470671 | 1.831214 | 0 |
| 0.471332 | 1.831088 | 0 |
| 0.471993 | 1.830964 | 0 |
| 0.472656 | 1.830839 | 0 |
| 0.473319 | 1.830715 | 0 |
| 0.473984 | 1.830592 | 0 |
| 0.474649 | 1.830469 | 0 |
| 0.475315 | 1.830346 | 0 |
| 0.475982 | 1.830223 | 0 |
| 0.47665 | 1.830101 | 0 |
| 0.477319 | 1.82998 | 0 |
| 0.477989 | 1.829859 | 0 |
| 0.47866 | 1.829738 | 0 |
| 0.479332 | 1.829617 | 0 |
| 0.480005 | 1.829497 | 0 |
| 0.480678 | 1.829378 | 0 |
| 0.481353 | 1.829258 | 0 |
| 0.482028 | 1.829139 | 0 |
| 0.482705 | 1.829021 | 0 |
| 0.483382 | 1.828903 | 0 |
| 0.484061 | 1.828785 | 0 |
| 0.48474 | 1.828667 | 0 |
| 0.485421 | 1.82855 | 0 |
| 0.486102 | 1.828434 | 0 |
| 0.486784 | 1.828318 | 0 |
| 0.487467 | 1.828202 | 0 |
| 0.488152 | 1.828086 | 0 |
| 0.488837 | 1.827971 | 0 |
| 0.489523 | 1.827856 | 0 |
| 0.49021 | 1.827742 | 0 |
| 0.490898 | 1.827627 | 0 |
| 0.491587 | 1.827514 | 0 |
| 0.492277 | 1.8274 | 0 |
| 0.492968 | 1.827287 | 0 |
| 0.49366 | 1.827175 | 0 |
| 0.494353 | 1.827062 | 0 |
| 0.495046 | 1.82695 | 0 |
| 0.495741 | 1.826839 | 0 |
| 0.496437 | 1.826727 | 0 |
| 0.497134 | 1.826617 | 0 |
| 0.497832 | 1.826506 | 0 |
| 0.49853 | 1.826396 | 0 |
| 0.49923 | 1.826286 | 0 |
| 0.499931 | 1.826176 | 0 |
| 0.500632 | 1.826067 | 0 |
| 0.501335 | 1.825958 | 0 |
| 0.502039 | 1.82585 | 0 |
| 0.502743 | 1.825742 | 0 |
| 0.503449 | 1.825634 | 0 |
| 0.504155 | 1.825526 | 0 |
| 0.504863 | 1.825419 | 0 |
| 0.505572 | 1.825312 | 0 |
| 0.506281 | 1.825206 | 0 |
| 0.506992 | 1.8251 | 0 |
| 0.507703 | 1.824994 | 0 |
| 0.508416 | 1.824888 | 0 |
| 0.50913 | 1.824783 | 0 |
| 0.509844 | 1.824678 | 0 |
| 0.51056 | 1.824573 | 0 |
| 0.511276 | 1.824469 | 0 |
| 0.511994 | 1.824365 | 0 |
| 0.512712 | 1.824262 | 0 |
| 0.513432 | 1.824158 | 0 |
| 0.514153 | 1.824055 | 0 |
| 0.514874 | 1.823953 | 0 |
| 0.515597 | 1.823851 | 0 |
| 0.516321 | 1.823748 | 0 |
| 0.517045 | 1.823647 | 0 |
| 0.517771 | 1.823545 | 0 |
| 0.518498 | 1.823444 | 0 |
| 0.519225 | 1.823344 | 0 |
| 0.519954 | 1.823243 | 0 |
| 0.520684 | 1.823143 | 0 |
| 0.521415 | 1.823043 | 0 |
| 0.522147 | 1.822943 | 0 |
| 0.522879 | 1.822844 | 0 |
| 0.523613 | 1.822745 | 0 |
| 0.524348 | 1.822647 | 0 |
| 0.525084 | 1.822548 | 0 |
| 0.525821 | 1.82245 | 0 |
| 0.526559 | 1.822352 | 0 |
| 0.527298 | 1.822255 | 0 |
| 0.528038 | 1.822158 | 0 |
| 0.528779 | 1.822061 | 0 |
| 0.529521 | 1.821964 | 0 |
| 0.530265 | 1.821868 | 0 |
| 0.531009 | 1.821772 | 0 |
| 0.531754 | 1.821676 | 0 |
| 0.532501 | 1.821581 | 0 |
| 0.533248 | 1.821486 | 0 |
| 0.533996 | 1.821391 | 0 |
| 0.534746 | 1.821296 | 0 |
| 0.535496 | 1.821202 | 0 |
| 0.536248 | 1.821108 | 0 |
| 0.537001 | 1.821014 | 0 |
| 0.537754 | 1.820921 | 0 |
| 0.538509 | 1.820827 | 0 |
| 0.539265 | 1.820734 | 0 |
| 0.540022 | 1.820642 | 0 |
| 0.54078 | 1.820549 | 0 |
| 0.541539 | 1.820457 | 0 |
| 0.542299 | 1.820366 | 0 |
| 0.54306 | 1.820274 | 0 |
| 0.543822 | 1.820183 | 0 |
| 0.544585 | 1.820092 | 0 |
| 0.54535 | 1.820001 | 0 |
| 0.546115 | 1.819911 | 0 |
| 0.546882 | 1.81982 | 0 |
| 0.547649 | 1.819731 | 0 |
| 0.548418 | 1.819641 | 0 |
| 0.549187 | 1.819551 | 0 |
| 0.549958 | 1.819462 | 0 |
| 0.55073 | 1.819373 | 0 |
| 0.551503 | 1.819285 | 0 |
| 0.552277 | 1.819196 | 0 |
| 0.553052 | 1.819108 | 0 |
| 0.553829 | 1.819021 | 0 |
| 0.554606 | 1.818933 | 0 |
| 0.555384 | 1.818846 | 0 |
| 0.556164 | 1.818759 | 0 |
| 0.556944 | 1.818672 | 0 |
| 0.557726 | 1.818585 | 0 |
| 0.558509 | 1.818499 | 0 |
| 0.559293 | 1.818413 | 0 |
| 0.560078 | 1.818327 | 0 |
| 0.560864 | 1.818242 | 0 |
| 0.561651 | 1.818156 | 0 |
| 0.562439 | 1.818071 | 0 |
| 0.563229 | 1.817986 | 0 |
| 0.564019 | 1.817902 | 0 |
| 0.564811 | 1.817817 | 0 |
| 0.565604 | 1.817733 | 0 |
| 0.566397 | 1.81765 | 0 |
| 0.567192 | 1.817566 | 0 |
| 0.567988 | 1.817483 | 0 |
| 0.568786 | 1.817399 | 0 |
| 0.569584 | 1.817317 | 0 |
| 0.570383 | 1.817234 | 0 |
| 0.571184 | 1.817152 | 0 |
| 0.571986 | 1.817069 | 0 |
| 0.572788 | 1.816987 | 0 |
| 0.573592 | 1.816906 | 0 |
| 0.574397 | 1.816824 | 0 |
| 0.575204 | 1.816743 | 0 |
| 0.576011 | 1.816662 | 0 |
| 0.576819 | 1.816581 | 0 |
| 0.577629 | 1.816501 | 0 |
| 0.57844 | 1.816421 | 0 |
| 0.579251 | 1.81634 | 0 |
| 0.580064 | 1.816261 | 0 |
| 0.580879 | 1.816181 | 0 |
| 0.581694 | 1.816102 | 0 |
| 0.58251 | 1.816022 | 0 |
| 0.583328 | 1.815944 | 0 |
| 0.584147 | 1.815865 | 0 |
| 0.584966 | 1.815786 | 0 |
| 0.585787 | 1.815708 | 0 |
| 0.58661 | 1.81563 | 0 |
| 0.587433 | 1.815552 | 0 |
| 0.588257 | 1.815475 | 0 |
| 0.589083 | 1.815397 | 0 |
| 0.58991 | 1.81532 | 0 |
| 0.590738 | 1.815243 | 0 |
| 0.591567 | 1.815166 | 0 |
| 0.592397 | 1.81509 | 0 |
| 0.593229 | 1.815013 | 0 |
| 0.594061 | 1.814937 | 0 |
| 0.594895 | 1.814862 | 0 |
| 0.59573 | 1.814786 | 0 |
| 0.596566 | 1.81471 | 0 |
| 0.597403 | 1.814635 | 0 |
| 0.598242 | 1.81456 | 0 |
| 0.599082 | 1.814485 | 0 |
| 0.599922 | 1.814411 | 0 |
| 0.600764 | 1.814336 | 0 |
| 0.601608 | 1.814262 | 0 |
| 0.602452 | 1.814188 | 0 |
| 0.603298 | 1.814114 | 0 |
| 0.604144 | 1.814041 | 0 |
| 0.604992 | 1.813967 | 0 |
| 0.605841 | 1.813894 | 0 |
| 0.606692 | 1.813821 | 0 |
| 0.607543 | 1.813748 | 0 |
| 0.608396 | 1.813676 | 0 |
| 0.60925 | 1.813604 | 0 |
| 0.610105 | 1.813531 | 0 |
| 0.610961 | 1.813459 | 0 |
| 0.611819 | 1.813388 | 0 |
| 0.612677 | 1.813316 | 0 |
| 0.613537 | 1.813245 | 0 |
| 0.614398 | 1.813173 | 0 |
| 0.615261 | 1.813103 | 0 |
| 0.616124 | 1.813032 | 0 |
| 0.616989 | 1.812961 | 0 |
| 0.617855 | 1.812891 | 0 |
| 0.618722 | 1.812821 | 0 |
| 0.619591 | 1.812751 | 0 |
| 0.62046 | 1.812681 | 0 |
| 0.621331 | 1.812611 | 0 |
| 0.622203 | 1.812542 | 0 |
| 0.623076 | 1.812472 | 0 |
| 0.623951 | 1.812403 | 0 |
| 0.624827 | 1.812334 | 0 |
| 0.625704 | 1.812266 | 0 |
| 0.626582 | 1.812197 | 0 |
| 0.627461 | 1.812129 | 0 |
| 0.628342 | 1.812061 | 0 |
| 0.629224 | 1.811993 | 0 |
| 0.630107 | 1.811925 | 0 |
| 0.630991 | 1.811857 | 0 |
| 0.631877 | 1.81179 | 0 |
| 0.632764 | 1.811723 | 0 |
| 0.633652 | 1.811656 | 0 |
| 0.634541 | 1.811589 | 0 |
| 0.635432 | 1.811522 | 0 |
| 0.636324 | 1.811456 | 0 |
| 0.637217 | 1.81139 | 0 |
| 0.638111 | 1.811323 | 0 |
| 0.639007 | 1.811257 | 0 |
| 0.639904 | 1.811192 | 0 |
| 0.640802 | 1.811126 | 0 |
| 0.641701 | 1.811061 | 0 |
| 0.642602 | 1.810995 | 0 |
| 0.643504 | 1.81093 | 0 |
| 0.644407 | 1.810865 | 0 |
| 0.645311 | 1.810801 | 0 |
| 0.646217 | 1.810736 | 0 |
| 0.647124 | 1.810672 | 0 |
| 0.648032 | 1.810607 | 0 |
| 0.648942 | 1.810543 | 0 |
| 0.649852 | 1.81048 | 0 |
| 0.650765 | 1.810416 | 0 |
| 0.651678 | 1.810352 | 0 |
| 0.652593 | 1.810289 | 0 |
| 0.653509 | 1.810226 | 0 |
| 0.654426 | 1.810163 | 0 |
| 0.655344 | 1.8101 | 0 |
| 0.656264 | 1.810037 | 0 |
| 0.657185 | 1.809975 | 0 |
| 0.658108 | 1.809912 | 0 |
| 0.659031 | 1.80985 | 0 |
| 0.659956 | 1.809788 | 0 |
| 0.660882 | 1.809726 | 0 |
| 0.66181 | 1.809664 | 0 |
| 0.662739 | 1.809603 | 0 |
| 0.663669 | 1.809541 | 0 |
| 0.664601 | 1.80948 | 0 |
| 0.665533 | 1.809419 | 0 |
| 0.666467 | 1.809358 | 0 |
| 0.667403 | 1.809297 | 0 |
| 0.66834 | 1.809237 | 0 |
| 0.669278 | 1.809176 | 0 |
| 0.670217 | 1.809116 | 0 |
| 0.671158 | 1.809056 | 0 |
| 0.6721 | 1.808996 | 0 |
| 0.673043 | 1.808936 | 0 |
| 0.673988 | 1.808877 | 0 |
| 0.674933 | 1.808817 | 0 |
| 0.675881 | 1.808758 | 0 |
| 0.676829 | 1.808698 | 0 |
| 0.677779 | 1.808639 | 0 |
| 0.678731 | 1.808581 | 0 |
| 0.679683 | 1.808522 | 0 |
| 0.680637 | 1.808463 | 0 |
| 0.681592 | 1.808405 | 0 |
| 0.682549 | 1.808346 | 0 |
| 0.683507 | 1.808288 | 0 |
| 0.684466 | 1.80823 | 0 |
| 0.685427 | 1.808173 | 0 |
| 0.686389 | 1.808115 | 0 |
| 0.687352 | 1.808057 | 0 |
| 0.688317 | 1.808 | 0 |
| 0.689283 | 1.807943 | 0 |
| 0.690251 | 1.807886 | 0 |
| 0.691219 | 1.807829 | 0 |
| 0.69219 | 1.807772 | 0 |
| 0.693161 | 1.807715 | 0 |
| 0.694134 | 1.807659 | 0 |
| 0.695108 | 1.807602 | 0 |
| 0.696084 | 1.807546 | 0 |
| 0.697061 | 1.80749 | 0 |
| 0.698039 | 1.807434 | 0 |
| 0.699019 | 1.807378 | 0 |
| 0.7 | 1.807322 | 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
- —