Optical constants
Refractive index of E-LAF3 (HIKARI)
E-LAF3: 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
- 1.717
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.94809
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 47.933
- Chromatic dispersion dn/dλ
- -0.0766372 µm⁻¹
- Group index ng
- 1.76203
- Group velocity dispersion
- 141.35 fs²/mm
- Dispersion parameter D
- -771.141 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-LAF3 (HIKARI): E-LAF3
hikari_e_laf3 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAF3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_laf3.range_nm) # (400, 700) nm
eps = hikari_e_laf3.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_624005869fbf/lightsmith"
hikari_e_laf3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(hikari_e_laf3.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (hikari-e-laf3/hikari).
# ... load hikari_e_laf3 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=hikari_e_laf3)],
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 | 2.88218387 |
| C2 | -0.0106317724 |
| C3 | 2.0 |
| C4 | 0.0227527853 |
| C5 | -2.0 |
| C6 | 0.000397667212 |
| C7 | -4.0 |
| C8 | 1.25478223e-05 |
| C9 | -6.0 |
| C10 | 5.87511175e-07 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 296 K
Properties
- nd
- 1.717004
- Vd
- 47.933096
- glass code
- 717479
- glass status
- preferred
- density
- value: 3890
- thermal expansion
- value: 9.6e-06, temperature range: 243 343
- dPgF
- -0.0033
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 | 1.744185 | 0 |
| 0.400561 | 1.744034 | 0 |
| 0.401124 | 1.743884 | 0 |
| 0.401687 | 1.743735 | 0 |
| 0.40225 | 1.743585 | 0 |
| 0.402815 | 1.743437 | 0 |
| 0.40338 | 1.743289 | 0 |
| 0.403946 | 1.743141 | 0 |
| 0.404513 | 1.742994 | 0 |
| 0.405081 | 1.742848 | 0 |
| 0.40565 | 1.742702 | 0 |
| 0.406219 | 1.742556 | 0 |
| 0.406789 | 1.742411 | 0 |
| 0.40736 | 1.742267 | 0 |
| 0.407932 | 1.742123 | 0 |
| 0.408504 | 1.74198 | 0 |
| 0.409078 | 1.741837 | 0 |
| 0.409652 | 1.741694 | 0 |
| 0.410227 | 1.741552 | 0 |
| 0.410803 | 1.741411 | 0 |
| 0.411379 | 1.74127 | 0 |
| 0.411957 | 1.74113 | 0 |
| 0.412535 | 1.74099 | 0 |
| 0.413114 | 1.74085 | 0 |
| 0.413694 | 1.740711 | 0 |
| 0.414274 | 1.740573 | 0 |
| 0.414856 | 1.740435 | 0 |
| 0.415438 | 1.740297 | 0 |
| 0.416021 | 1.74016 | 0 |
| 0.416605 | 1.740024 | 0 |
| 0.41719 | 1.739888 | 0 |
| 0.417775 | 1.739752 | 0 |
| 0.418362 | 1.739617 | 0 |
| 0.418949 | 1.739482 | 0 |
| 0.419537 | 1.739348 | 0 |
| 0.420126 | 1.739214 | 0 |
| 0.420715 | 1.739081 | 0 |
| 0.421306 | 1.738948 | 0 |
| 0.421897 | 1.738816 | 0 |
| 0.422489 | 1.738684 | 0 |
| 0.423082 | 1.738552 | 0 |
| 0.423676 | 1.738421 | 0 |
| 0.424271 | 1.738291 | 0 |
| 0.424866 | 1.738161 | 0 |
| 0.425462 | 1.738031 | 0 |
| 0.42606 | 1.737902 | 0 |
| 0.426658 | 1.737773 | 0 |
| 0.427256 | 1.737644 | 0 |
| 0.427856 | 1.737517 | 0 |
| 0.428457 | 1.737389 | 0 |
| 0.429058 | 1.737262 | 0 |
| 0.42966 | 1.737135 | 0 |
| 0.430263 | 1.737009 | 0 |
| 0.430867 | 1.736883 | 0 |
| 0.431472 | 1.736758 | 0 |
| 0.432077 | 1.736633 | 0 |
| 0.432684 | 1.736509 | 0 |
| 0.433291 | 1.736385 | 0 |
| 0.433899 | 1.736261 | 0 |
| 0.434508 | 1.736138 | 0 |
| 0.435118 | 1.736015 | 0 |
| 0.435729 | 1.735893 | 0 |
| 0.43634 | 1.735771 | 0 |
| 0.436953 | 1.735649 | 0 |
| 0.437566 | 1.735528 | 0 |
| 0.43818 | 1.735407 | 0 |
| 0.438795 | 1.735287 | 0 |
| 0.439411 | 1.735167 | 0 |
| 0.440028 | 1.735047 | 0 |
| 0.440645 | 1.734928 | 0 |
| 0.441264 | 1.734809 | 0 |
| 0.441883 | 1.734691 | 0 |
| 0.442503 | 1.734573 | 0 |
| 0.443124 | 1.734455 | 0 |
| 0.443746 | 1.734338 | 0 |
| 0.444369 | 1.734222 | 0 |
| 0.444993 | 1.734105 | 0 |
| 0.445617 | 1.733989 | 0 |
| 0.446243 | 1.733874 | 0 |
| 0.446869 | 1.733758 | 0 |
| 0.447496 | 1.733643 | 0 |
| 0.448124 | 1.733529 | 0 |
| 0.448753 | 1.733415 | 0 |
| 0.449383 | 1.733301 | 0 |
| 0.450014 | 1.733188 | 0 |
| 0.450645 | 1.733075 | 0 |
| 0.451278 | 1.732962 | 0 |
| 0.451911 | 1.73285 | 0 |
| 0.452546 | 1.732738 | 0 |
| 0.453181 | 1.732627 | 0 |
| 0.453817 | 1.732516 | 0 |
| 0.454454 | 1.732405 | 0 |
| 0.455092 | 1.732294 | 0 |
| 0.45573 | 1.732184 | 0 |
| 0.45637 | 1.732075 | 0 |
| 0.457011 | 1.731965 | 0 |
| 0.457652 | 1.731856 | 0 |
| 0.458294 | 1.731748 | 0 |
| 0.458938 | 1.73164 | 0 |
| 0.459582 | 1.731532 | 0 |
| 0.460227 | 1.731424 | 0 |
| 0.460873 | 1.731317 | 0 |
| 0.461519 | 1.73121 | 0 |
| 0.462167 | 1.731104 | 0 |
| 0.462816 | 1.730998 | 0 |
| 0.463465 | 1.730892 | 0 |
| 0.464116 | 1.730786 | 0 |
| 0.464767 | 1.730681 | 0 |
| 0.46542 | 1.730576 | 0 |
| 0.466073 | 1.730472 | 0 |
| 0.466727 | 1.730368 | 0 |
| 0.467382 | 1.730264 | 0 |
| 0.468038 | 1.730161 | 0 |
| 0.468695 | 1.730058 | 0 |
| 0.469353 | 1.729955 | 0 |
| 0.470012 | 1.729853 | 0 |
| 0.470671 | 1.72975 | 0 |
| 0.471332 | 1.729649 | 0 |
| 0.471993 | 1.729547 | 0 |
| 0.472656 | 1.729446 | 0 |
| 0.473319 | 1.729345 | 0 |
| 0.473984 | 1.729245 | 0 |
| 0.474649 | 1.729145 | 0 |
| 0.475315 | 1.729045 | 0 |
| 0.475982 | 1.728945 | 0 |
| 0.47665 | 1.728846 | 0 |
| 0.477319 | 1.728747 | 0 |
| 0.477989 | 1.728649 | 0 |
| 0.47866 | 1.728551 | 0 |
| 0.479332 | 1.728453 | 0 |
| 0.480005 | 1.728355 | 0 |
| 0.480678 | 1.728258 | 0 |
| 0.481353 | 1.728161 | 0 |
| 0.482028 | 1.728064 | 0 |
| 0.482705 | 1.727968 | 0 |
| 0.483382 | 1.727872 | 0 |
| 0.484061 | 1.727776 | 0 |
| 0.48474 | 1.72768 | 0 |
| 0.485421 | 1.727585 | 0 |
| 0.486102 | 1.72749 | 0 |
| 0.486784 | 1.727396 | 0 |
| 0.487467 | 1.727302 | 0 |
| 0.488152 | 1.727208 | 0 |
| 0.488837 | 1.727114 | 0 |
| 0.489523 | 1.727021 | 0 |
| 0.49021 | 1.726927 | 0 |
| 0.490898 | 1.726835 | 0 |
| 0.491587 | 1.726742 | 0 |
| 0.492277 | 1.72665 | 0 |
| 0.492968 | 1.726558 | 0 |
| 0.49366 | 1.726466 | 0 |
| 0.494353 | 1.726375 | 0 |
| 0.495046 | 1.726284 | 0 |
| 0.495741 | 1.726193 | 0 |
| 0.496437 | 1.726103 | 0 |
| 0.497134 | 1.726013 | 0 |
| 0.497832 | 1.725923 | 0 |
| 0.49853 | 1.725833 | 0 |
| 0.49923 | 1.725744 | 0 |
| 0.499931 | 1.725655 | 0 |
| 0.500632 | 1.725566 | 0 |
| 0.501335 | 1.725477 | 0 |
| 0.502039 | 1.725389 | 0 |
| 0.502743 | 1.725301 | 0 |
| 0.503449 | 1.725213 | 0 |
| 0.504155 | 1.725126 | 0 |
| 0.504863 | 1.725039 | 0 |
| 0.505572 | 1.724952 | 0 |
| 0.506281 | 1.724865 | 0 |
| 0.506992 | 1.724779 | 0 |
| 0.507703 | 1.724693 | 0 |
| 0.508416 | 1.724607 | 0 |
| 0.50913 | 1.724521 | 0 |
| 0.509844 | 1.724436 | 0 |
| 0.51056 | 1.724351 | 0 |
| 0.511276 | 1.724266 | 0 |
| 0.511994 | 1.724182 | 0 |
| 0.512712 | 1.724097 | 0 |
| 0.513432 | 1.724013 | 0 |
| 0.514153 | 1.72393 | 0 |
| 0.514874 | 1.723846 | 0 |
| 0.515597 | 1.723763 | 0 |
| 0.516321 | 1.72368 | 0 |
| 0.517045 | 1.723597 | 0 |
| 0.517771 | 1.723515 | 0 |
| 0.518498 | 1.723432 | 0 |
| 0.519225 | 1.72335 | 0 |
| 0.519954 | 1.723269 | 0 |
| 0.520684 | 1.723187 | 0 |
| 0.521415 | 1.723106 | 0 |
| 0.522147 | 1.723025 | 0 |
| 0.522879 | 1.722944 | 0 |
| 0.523613 | 1.722864 | 0 |
| 0.524348 | 1.722784 | 0 |
| 0.525084 | 1.722704 | 0 |
| 0.525821 | 1.722624 | 0 |
| 0.526559 | 1.722544 | 0 |
| 0.527298 | 1.722465 | 0 |
| 0.528038 | 1.722386 | 0 |
| 0.528779 | 1.722307 | 0 |
| 0.529521 | 1.722229 | 0 |
| 0.530265 | 1.72215 | 0 |
| 0.531009 | 1.722072 | 0 |
| 0.531754 | 1.721994 | 0 |
| 0.532501 | 1.721917 | 0 |
| 0.533248 | 1.721839 | 0 |
| 0.533996 | 1.721762 | 0 |
| 0.534746 | 1.721685 | 0 |
| 0.535496 | 1.721608 | 0 |
| 0.536248 | 1.721532 | 0 |
| 0.537001 | 1.721456 | 0 |
| 0.537754 | 1.72138 | 0 |
| 0.538509 | 1.721304 | 0 |
| 0.539265 | 1.721228 | 0 |
| 0.540022 | 1.721153 | 0 |
| 0.54078 | 1.721078 | 0 |
| 0.541539 | 1.721003 | 0 |
| 0.542299 | 1.720928 | 0 |
| 0.54306 | 1.720854 | 0 |
| 0.543822 | 1.72078 | 0 |
| 0.544585 | 1.720706 | 0 |
| 0.54535 | 1.720632 | 0 |
| 0.546115 | 1.720558 | 0 |
| 0.546882 | 1.720485 | 0 |
| 0.547649 | 1.720412 | 0 |
| 0.548418 | 1.720339 | 0 |
| 0.549187 | 1.720266 | 0 |
| 0.549958 | 1.720194 | 0 |
| 0.55073 | 1.720121 | 0 |
| 0.551503 | 1.720049 | 0 |
| 0.552277 | 1.719977 | 0 |
| 0.553052 | 1.719906 | 0 |
| 0.553829 | 1.719834 | 0 |
| 0.554606 | 1.719763 | 0 |
| 0.555384 | 1.719692 | 0 |
| 0.556164 | 1.719621 | 0 |
| 0.556944 | 1.719551 | 0 |
| 0.557726 | 1.71948 | 0 |
| 0.558509 | 1.71941 | 0 |
| 0.559293 | 1.71934 | 0 |
| 0.560078 | 1.71927 | 0 |
| 0.560864 | 1.719201 | 0 |
| 0.561651 | 1.719131 | 0 |
| 0.562439 | 1.719062 | 0 |
| 0.563229 | 1.718993 | 0 |
| 0.564019 | 1.718925 | 0 |
| 0.564811 | 1.718856 | 0 |
| 0.565604 | 1.718788 | 0 |
| 0.566397 | 1.718719 | 0 |
| 0.567192 | 1.718651 | 0 |
| 0.567988 | 1.718584 | 0 |
| 0.568786 | 1.718516 | 0 |
| 0.569584 | 1.718449 | 0 |
| 0.570383 | 1.718381 | 0 |
| 0.571184 | 1.718314 | 0 |
| 0.571986 | 1.718248 | 0 |
| 0.572788 | 1.718181 | 0 |
| 0.573592 | 1.718115 | 0 |
| 0.574397 | 1.718048 | 0 |
| 0.575204 | 1.717982 | 0 |
| 0.576011 | 1.717916 | 0 |
| 0.576819 | 1.717851 | 0 |
| 0.577629 | 1.717785 | 0 |
| 0.57844 | 1.71772 | 0 |
| 0.579251 | 1.717655 | 0 |
| 0.580064 | 1.71759 | 0 |
| 0.580879 | 1.717525 | 0 |
| 0.581694 | 1.717461 | 0 |
| 0.58251 | 1.717396 | 0 |
| 0.583328 | 1.717332 | 0 |
| 0.584147 | 1.717268 | 0 |
| 0.584966 | 1.717204 | 0 |
| 0.585787 | 1.717141 | 0 |
| 0.58661 | 1.717077 | 0 |
| 0.587433 | 1.717014 | 0 |
| 0.588257 | 1.716951 | 0 |
| 0.589083 | 1.716888 | 0 |
| 0.58991 | 1.716825 | 0 |
| 0.590738 | 1.716763 | 0 |
| 0.591567 | 1.7167 | 0 |
| 0.592397 | 1.716638 | 0 |
| 0.593229 | 1.716576 | 0 |
| 0.594061 | 1.716514 | 0 |
| 0.594895 | 1.716452 | 0 |
| 0.59573 | 1.716391 | 0 |
| 0.596566 | 1.716329 | 0 |
| 0.597403 | 1.716268 | 0 |
| 0.598242 | 1.716207 | 0 |
| 0.599082 | 1.716146 | 0 |
| 0.599922 | 1.716086 | 0 |
| 0.600764 | 1.716025 | 0 |
| 0.601608 | 1.715965 | 0 |
| 0.602452 | 1.715905 | 0 |
| 0.603298 | 1.715845 | 0 |
| 0.604144 | 1.715785 | 0 |
| 0.604992 | 1.715725 | 0 |
| 0.605841 | 1.715666 | 0 |
| 0.606692 | 1.715606 | 0 |
| 0.607543 | 1.715547 | 0 |
| 0.608396 | 1.715488 | 0 |
| 0.60925 | 1.715429 | 0 |
| 0.610105 | 1.715371 | 0 |
| 0.610961 | 1.715312 | 0 |
| 0.611819 | 1.715254 | 0 |
| 0.612677 | 1.715196 | 0 |
| 0.613537 | 1.715138 | 0 |
| 0.614398 | 1.71508 | 0 |
| 0.615261 | 1.715022 | 0 |
| 0.616124 | 1.714964 | 0 |
| 0.616989 | 1.714907 | 0 |
| 0.617855 | 1.71485 | 0 |
| 0.618722 | 1.714793 | 0 |
| 0.619591 | 1.714736 | 0 |
| 0.62046 | 1.714679 | 0 |
| 0.621331 | 1.714622 | 0 |
| 0.622203 | 1.714566 | 0 |
| 0.623076 | 1.714509 | 0 |
| 0.623951 | 1.714453 | 0 |
| 0.624827 | 1.714397 | 0 |
| 0.625704 | 1.714341 | 0 |
| 0.626582 | 1.714286 | 0 |
| 0.627461 | 1.71423 | 0 |
| 0.628342 | 1.714175 | 0 |
| 0.629224 | 1.714119 | 0 |
| 0.630107 | 1.714064 | 0 |
| 0.630991 | 1.714009 | 0 |
| 0.631877 | 1.713954 | 0 |
| 0.632764 | 1.7139 | 0 |
| 0.633652 | 1.713845 | 0 |
| 0.634541 | 1.713791 | 0 |
| 0.635432 | 1.713737 | 0 |
| 0.636324 | 1.713683 | 0 |
| 0.637217 | 1.713629 | 0 |
| 0.638111 | 1.713575 | 0 |
| 0.639007 | 1.713521 | 0 |
| 0.639904 | 1.713468 | 0 |
| 0.640802 | 1.713414 | 0 |
| 0.641701 | 1.713361 | 0 |
| 0.642602 | 1.713308 | 0 |
| 0.643504 | 1.713255 | 0 |
| 0.644407 | 1.713202 | 0 |
| 0.645311 | 1.713149 | 0 |
| 0.646217 | 1.713097 | 0 |
| 0.647124 | 1.713045 | 0 |
| 0.648032 | 1.712992 | 0 |
| 0.648942 | 1.71294 | 0 |
| 0.649852 | 1.712888 | 0 |
| 0.650765 | 1.712836 | 0 |
| 0.651678 | 1.712785 | 0 |
| 0.652593 | 1.712733 | 0 |
| 0.653509 | 1.712682 | 0 |
| 0.654426 | 1.71263 | 0 |
| 0.655344 | 1.712579 | 0 |
| 0.656264 | 1.712528 | 0 |
| 0.657185 | 1.712477 | 0 |
| 0.658108 | 1.712426 | 0 |
| 0.659031 | 1.712376 | 0 |
| 0.659956 | 1.712325 | 0 |
| 0.660882 | 1.712275 | 0 |
| 0.66181 | 1.712225 | 0 |
| 0.662739 | 1.712175 | 0 |
| 0.663669 | 1.712125 | 0 |
| 0.664601 | 1.712075 | 0 |
| 0.665533 | 1.712025 | 0 |
| 0.666467 | 1.711975 | 0 |
| 0.667403 | 1.711926 | 0 |
| 0.66834 | 1.711877 | 0 |
| 0.669278 | 1.711827 | 0 |
| 0.670217 | 1.711778 | 0 |
| 0.671158 | 1.711729 | 0 |
| 0.6721 | 1.71168 | 0 |
| 0.673043 | 1.711632 | 0 |
| 0.673988 | 1.711583 | 0 |
| 0.674933 | 1.711535 | 0 |
| 0.675881 | 1.711486 | 0 |
| 0.676829 | 1.711438 | 0 |
| 0.677779 | 1.71139 | 0 |
| 0.678731 | 1.711342 | 0 |
| 0.679683 | 1.711294 | 0 |
| 0.680637 | 1.711246 | 0 |
| 0.681592 | 1.711199 | 0 |
| 0.682549 | 1.711151 | 0 |
| 0.683507 | 1.711104 | 0 |
| 0.684466 | 1.711057 | 0 |
| 0.685427 | 1.711009 | 0 |
| 0.686389 | 1.710962 | 0 |
| 0.687352 | 1.710916 | 0 |
| 0.688317 | 1.710869 | 0 |
| 0.689283 | 1.710822 | 0 |
| 0.690251 | 1.710776 | 0 |
| 0.691219 | 1.710729 | 0 |
| 0.69219 | 1.710683 | 0 |
| 0.693161 | 1.710637 | 0 |
| 0.694134 | 1.71059 | 0 |
| 0.695108 | 1.710544 | 0 |
| 0.696084 | 1.710499 | 0 |
| 0.697061 | 1.710453 | 0 |
| 0.698039 | 1.710407 | 0 |
| 0.699019 | 1.710362 | 0 |
| 0.7 | 1.710316 | 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
- —