Optical constants
Refractive index of E-LASF09 (HIKARI)
E-LASF09: 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
- 1.816
- Extinction coefficient k
- 0
- Permittivity ε1
- 3.29784
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 46.623
- Chromatic dispersion dn/dλ
- -0.0898041 µm⁻¹
- Group index ng
- 1.86877
- Group velocity dispersion
- 164.411 fs²/mm
- Dispersion parameter D
- -896.949 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-LASF09 (HIKARI): E-LASF09
hikari_e_lasf09 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LASF09", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lasf09.range_nm) # (400, 700) nm
eps = hikari_e_lasf09.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_8a46db2c470b/lightsmith"
hikari_e_lasf09 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(hikari_e_lasf09.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (hikari-e-lasf09/hikari).
# ... load hikari_e_lasf09 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=hikari_e_lasf09)],
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 | 3.21588388 |
| C2 | -0.0133880786 |
| C3 | 2.0 |
| C4 | 0.0285023144 |
| C5 | -2.0 |
| C6 | 0.000406364414 |
| C7 | -4.0 |
| C8 | 2.70180277e-05 |
| C9 | -6.0 |
| C10 | -4.64955706e-07 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 296 K
Properties
- nd
- 1.816000
- Vd
- 46.623347
- glass status
- preferred
- density
- value: 4980
- thermal expansion
- value: 7.7e-06, temperature range: 243 343
- dPgF
- -0.0092
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 | 1.847604 | 0 |
| 0.400561 | 1.847431 | 0 |
| 0.401124 | 1.847258 | 0 |
| 0.401687 | 1.847085 | 0 |
| 0.40225 | 1.846914 | 0 |
| 0.402815 | 1.846743 | 0 |
| 0.40338 | 1.846572 | 0 |
| 0.403946 | 1.846402 | 0 |
| 0.404513 | 1.846233 | 0 |
| 0.405081 | 1.846064 | 0 |
| 0.40565 | 1.845895 | 0 |
| 0.406219 | 1.845728 | 0 |
| 0.406789 | 1.845561 | 0 |
| 0.40736 | 1.845394 | 0 |
| 0.407932 | 1.845228 | 0 |
| 0.408504 | 1.845063 | 0 |
| 0.409078 | 1.844898 | 0 |
| 0.409652 | 1.844733 | 0 |
| 0.410227 | 1.84457 | 0 |
| 0.410803 | 1.844406 | 0 |
| 0.411379 | 1.844244 | 0 |
| 0.411957 | 1.844082 | 0 |
| 0.412535 | 1.84392 | 0 |
| 0.413114 | 1.843759 | 0 |
| 0.413694 | 1.843599 | 0 |
| 0.414274 | 1.843439 | 0 |
| 0.414856 | 1.843279 | 0 |
| 0.415438 | 1.84312 | 0 |
| 0.416021 | 1.842962 | 0 |
| 0.416605 | 1.842804 | 0 |
| 0.41719 | 1.842647 | 0 |
| 0.417775 | 1.84249 | 0 |
| 0.418362 | 1.842334 | 0 |
| 0.418949 | 1.842178 | 0 |
| 0.419537 | 1.842023 | 0 |
| 0.420126 | 1.841869 | 0 |
| 0.420715 | 1.841714 | 0 |
| 0.421306 | 1.841561 | 0 |
| 0.421897 | 1.841408 | 0 |
| 0.422489 | 1.841255 | 0 |
| 0.423082 | 1.841103 | 0 |
| 0.423676 | 1.840951 | 0 |
| 0.424271 | 1.8408 | 0 |
| 0.424866 | 1.84065 | 0 |
| 0.425462 | 1.8405 | 0 |
| 0.42606 | 1.84035 | 0 |
| 0.426658 | 1.840201 | 0 |
| 0.427256 | 1.840052 | 0 |
| 0.427856 | 1.839904 | 0 |
| 0.428457 | 1.839757 | 0 |
| 0.429058 | 1.83961 | 0 |
| 0.42966 | 1.839463 | 0 |
| 0.430263 | 1.839317 | 0 |
| 0.430867 | 1.839171 | 0 |
| 0.431472 | 1.839026 | 0 |
| 0.432077 | 1.838881 | 0 |
| 0.432684 | 1.838737 | 0 |
| 0.433291 | 1.838593 | 0 |
| 0.433899 | 1.83845 | 0 |
| 0.434508 | 1.838307 | 0 |
| 0.435118 | 1.838165 | 0 |
| 0.435729 | 1.838023 | 0 |
| 0.43634 | 1.837882 | 0 |
| 0.436953 | 1.837741 | 0 |
| 0.437566 | 1.8376 | 0 |
| 0.43818 | 1.83746 | 0 |
| 0.438795 | 1.837321 | 0 |
| 0.439411 | 1.837181 | 0 |
| 0.440028 | 1.837043 | 0 |
| 0.440645 | 1.836905 | 0 |
| 0.441264 | 1.836767 | 0 |
| 0.441883 | 1.836629 | 0 |
| 0.442503 | 1.836493 | 0 |
| 0.443124 | 1.836356 | 0 |
| 0.443746 | 1.83622 | 0 |
| 0.444369 | 1.836085 | 0 |
| 0.444993 | 1.83595 | 0 |
| 0.445617 | 1.835815 | 0 |
| 0.446243 | 1.835681 | 0 |
| 0.446869 | 1.835547 | 0 |
| 0.447496 | 1.835414 | 0 |
| 0.448124 | 1.835281 | 0 |
| 0.448753 | 1.835148 | 0 |
| 0.449383 | 1.835016 | 0 |
| 0.450014 | 1.834885 | 0 |
| 0.450645 | 1.834753 | 0 |
| 0.451278 | 1.834623 | 0 |
| 0.451911 | 1.834492 | 0 |
| 0.452546 | 1.834362 | 0 |
| 0.453181 | 1.834233 | 0 |
| 0.453817 | 1.834104 | 0 |
| 0.454454 | 1.833975 | 0 |
| 0.455092 | 1.833847 | 0 |
| 0.45573 | 1.833719 | 0 |
| 0.45637 | 1.833591 | 0 |
| 0.457011 | 1.833464 | 0 |
| 0.457652 | 1.833338 | 0 |
| 0.458294 | 1.833211 | 0 |
| 0.458938 | 1.833086 | 0 |
| 0.459582 | 1.83296 | 0 |
| 0.460227 | 1.832835 | 0 |
| 0.460873 | 1.832711 | 0 |
| 0.461519 | 1.832586 | 0 |
| 0.462167 | 1.832462 | 0 |
| 0.462816 | 1.832339 | 0 |
| 0.463465 | 1.832216 | 0 |
| 0.464116 | 1.832093 | 0 |
| 0.464767 | 1.831971 | 0 |
| 0.46542 | 1.831849 | 0 |
| 0.466073 | 1.831728 | 0 |
| 0.466727 | 1.831607 | 0 |
| 0.467382 | 1.831486 | 0 |
| 0.468038 | 1.831366 | 0 |
| 0.468695 | 1.831246 | 0 |
| 0.469353 | 1.831126 | 0 |
| 0.470012 | 1.831007 | 0 |
| 0.470671 | 1.830888 | 0 |
| 0.471332 | 1.83077 | 0 |
| 0.471993 | 1.830651 | 0 |
| 0.472656 | 1.830534 | 0 |
| 0.473319 | 1.830416 | 0 |
| 0.473984 | 1.830299 | 0 |
| 0.474649 | 1.830183 | 0 |
| 0.475315 | 1.830067 | 0 |
| 0.475982 | 1.829951 | 0 |
| 0.47665 | 1.829835 | 0 |
| 0.477319 | 1.82972 | 0 |
| 0.477989 | 1.829605 | 0 |
| 0.47866 | 1.829491 | 0 |
| 0.479332 | 1.829377 | 0 |
| 0.480005 | 1.829263 | 0 |
| 0.480678 | 1.82915 | 0 |
| 0.481353 | 1.829037 | 0 |
| 0.482028 | 1.828924 | 0 |
| 0.482705 | 1.828812 | 0 |
| 0.483382 | 1.8287 | 0 |
| 0.484061 | 1.828588 | 0 |
| 0.48474 | 1.828477 | 0 |
| 0.485421 | 1.828366 | 0 |
| 0.486102 | 1.828256 | 0 |
| 0.486784 | 1.828145 | 0 |
| 0.487467 | 1.828036 | 0 |
| 0.488152 | 1.827926 | 0 |
| 0.488837 | 1.827817 | 0 |
| 0.489523 | 1.827708 | 0 |
| 0.49021 | 1.827599 | 0 |
| 0.490898 | 1.827491 | 0 |
| 0.491587 | 1.827383 | 0 |
| 0.492277 | 1.827276 | 0 |
| 0.492968 | 1.827169 | 0 |
| 0.49366 | 1.827062 | 0 |
| 0.494353 | 1.826955 | 0 |
| 0.495046 | 1.826849 | 0 |
| 0.495741 | 1.826743 | 0 |
| 0.496437 | 1.826638 | 0 |
| 0.497134 | 1.826533 | 0 |
| 0.497832 | 1.826428 | 0 |
| 0.49853 | 1.826323 | 0 |
| 0.49923 | 1.826219 | 0 |
| 0.499931 | 1.826115 | 0 |
| 0.500632 | 1.826011 | 0 |
| 0.501335 | 1.825908 | 0 |
| 0.502039 | 1.825805 | 0 |
| 0.502743 | 1.825702 | 0 |
| 0.503449 | 1.8256 | 0 |
| 0.504155 | 1.825498 | 0 |
| 0.504863 | 1.825396 | 0 |
| 0.505572 | 1.825295 | 0 |
| 0.506281 | 1.825194 | 0 |
| 0.506992 | 1.825093 | 0 |
| 0.507703 | 1.824992 | 0 |
| 0.508416 | 1.824892 | 0 |
| 0.50913 | 1.824792 | 0 |
| 0.509844 | 1.824693 | 0 |
| 0.51056 | 1.824593 | 0 |
| 0.511276 | 1.824494 | 0 |
| 0.511994 | 1.824396 | 0 |
| 0.512712 | 1.824297 | 0 |
| 0.513432 | 1.824199 | 0 |
| 0.514153 | 1.824101 | 0 |
| 0.514874 | 1.824004 | 0 |
| 0.515597 | 1.823907 | 0 |
| 0.516321 | 1.82381 | 0 |
| 0.517045 | 1.823713 | 0 |
| 0.517771 | 1.823617 | 0 |
| 0.518498 | 1.823521 | 0 |
| 0.519225 | 1.823425 | 0 |
| 0.519954 | 1.82333 | 0 |
| 0.520684 | 1.823234 | 0 |
| 0.521415 | 1.82314 | 0 |
| 0.522147 | 1.823045 | 0 |
| 0.522879 | 1.822951 | 0 |
| 0.523613 | 1.822857 | 0 |
| 0.524348 | 1.822763 | 0 |
| 0.525084 | 1.822669 | 0 |
| 0.525821 | 1.822576 | 0 |
| 0.526559 | 1.822483 | 0 |
| 0.527298 | 1.822391 | 0 |
| 0.528038 | 1.822298 | 0 |
| 0.528779 | 1.822206 | 0 |
| 0.529521 | 1.822114 | 0 |
| 0.530265 | 1.822023 | 0 |
| 0.531009 | 1.821931 | 0 |
| 0.531754 | 1.82184 | 0 |
| 0.532501 | 1.82175 | 0 |
| 0.533248 | 1.821659 | 0 |
| 0.533996 | 1.821569 | 0 |
| 0.534746 | 1.821479 | 0 |
| 0.535496 | 1.821389 | 0 |
| 0.536248 | 1.8213 | 0 |
| 0.537001 | 1.821211 | 0 |
| 0.537754 | 1.821122 | 0 |
| 0.538509 | 1.821033 | 0 |
| 0.539265 | 1.820945 | 0 |
| 0.540022 | 1.820857 | 0 |
| 0.54078 | 1.820769 | 0 |
| 0.541539 | 1.820681 | 0 |
| 0.542299 | 1.820594 | 0 |
| 0.54306 | 1.820507 | 0 |
| 0.543822 | 1.82042 | 0 |
| 0.544585 | 1.820334 | 0 |
| 0.54535 | 1.820247 | 0 |
| 0.546115 | 1.820161 | 0 |
| 0.546882 | 1.820075 | 0 |
| 0.547649 | 1.81999 | 0 |
| 0.548418 | 1.819905 | 0 |
| 0.549187 | 1.81982 | 0 |
| 0.549958 | 1.819735 | 0 |
| 0.55073 | 1.81965 | 0 |
| 0.551503 | 1.819566 | 0 |
| 0.552277 | 1.819482 | 0 |
| 0.553052 | 1.819398 | 0 |
| 0.553829 | 1.819314 | 0 |
| 0.554606 | 1.819231 | 0 |
| 0.555384 | 1.819148 | 0 |
| 0.556164 | 1.819065 | 0 |
| 0.556944 | 1.818982 | 0 |
| 0.557726 | 1.8189 | 0 |
| 0.558509 | 1.818818 | 0 |
| 0.559293 | 1.818736 | 0 |
| 0.560078 | 1.818654 | 0 |
| 0.560864 | 1.818573 | 0 |
| 0.561651 | 1.818492 | 0 |
| 0.562439 | 1.818411 | 0 |
| 0.563229 | 1.81833 | 0 |
| 0.564019 | 1.818249 | 0 |
| 0.564811 | 1.818169 | 0 |
| 0.565604 | 1.818089 | 0 |
| 0.566397 | 1.818009 | 0 |
| 0.567192 | 1.81793 | 0 |
| 0.567988 | 1.81785 | 0 |
| 0.568786 | 1.817771 | 0 |
| 0.569584 | 1.817692 | 0 |
| 0.570383 | 1.817614 | 0 |
| 0.571184 | 1.817535 | 0 |
| 0.571986 | 1.817457 | 0 |
| 0.572788 | 1.817379 | 0 |
| 0.573592 | 1.817301 | 0 |
| 0.574397 | 1.817223 | 0 |
| 0.575204 | 1.817146 | 0 |
| 0.576011 | 1.817069 | 0 |
| 0.576819 | 1.816992 | 0 |
| 0.577629 | 1.816915 | 0 |
| 0.57844 | 1.816839 | 0 |
| 0.579251 | 1.816763 | 0 |
| 0.580064 | 1.816687 | 0 |
| 0.580879 | 1.816611 | 0 |
| 0.581694 | 1.816535 | 0 |
| 0.58251 | 1.81646 | 0 |
| 0.583328 | 1.816384 | 0 |
| 0.584147 | 1.816309 | 0 |
| 0.584966 | 1.816235 | 0 |
| 0.585787 | 1.81616 | 0 |
| 0.58661 | 1.816086 | 0 |
| 0.587433 | 1.816012 | 0 |
| 0.588257 | 1.815938 | 0 |
| 0.589083 | 1.815864 | 0 |
| 0.58991 | 1.81579 | 0 |
| 0.590738 | 1.815717 | 0 |
| 0.591567 | 1.815644 | 0 |
| 0.592397 | 1.815571 | 0 |
| 0.593229 | 1.815498 | 0 |
| 0.594061 | 1.815426 | 0 |
| 0.594895 | 1.815353 | 0 |
| 0.59573 | 1.815281 | 0 |
| 0.596566 | 1.815209 | 0 |
| 0.597403 | 1.815138 | 0 |
| 0.598242 | 1.815066 | 0 |
| 0.599082 | 1.814995 | 0 |
| 0.599922 | 1.814924 | 0 |
| 0.600764 | 1.814853 | 0 |
| 0.601608 | 1.814782 | 0 |
| 0.602452 | 1.814711 | 0 |
| 0.603298 | 1.814641 | 0 |
| 0.604144 | 1.814571 | 0 |
| 0.604992 | 1.814501 | 0 |
| 0.605841 | 1.814431 | 0 |
| 0.606692 | 1.814362 | 0 |
| 0.607543 | 1.814292 | 0 |
| 0.608396 | 1.814223 | 0 |
| 0.60925 | 1.814154 | 0 |
| 0.610105 | 1.814085 | 0 |
| 0.610961 | 1.814017 | 0 |
| 0.611819 | 1.813948 | 0 |
| 0.612677 | 1.81388 | 0 |
| 0.613537 | 1.813812 | 0 |
| 0.614398 | 1.813744 | 0 |
| 0.615261 | 1.813676 | 0 |
| 0.616124 | 1.813609 | 0 |
| 0.616989 | 1.813541 | 0 |
| 0.617855 | 1.813474 | 0 |
| 0.618722 | 1.813407 | 0 |
| 0.619591 | 1.81334 | 0 |
| 0.62046 | 1.813274 | 0 |
| 0.621331 | 1.813207 | 0 |
| 0.622203 | 1.813141 | 0 |
| 0.623076 | 1.813075 | 0 |
| 0.623951 | 1.813009 | 0 |
| 0.624827 | 1.812943 | 0 |
| 0.625704 | 1.812878 | 0 |
| 0.626582 | 1.812812 | 0 |
| 0.627461 | 1.812747 | 0 |
| 0.628342 | 1.812682 | 0 |
| 0.629224 | 1.812617 | 0 |
| 0.630107 | 1.812553 | 0 |
| 0.630991 | 1.812488 | 0 |
| 0.631877 | 1.812424 | 0 |
| 0.632764 | 1.81236 | 0 |
| 0.633652 | 1.812296 | 0 |
| 0.634541 | 1.812232 | 0 |
| 0.635432 | 1.812168 | 0 |
| 0.636324 | 1.812105 | 0 |
| 0.637217 | 1.812041 | 0 |
| 0.638111 | 1.811978 | 0 |
| 0.639007 | 1.811915 | 0 |
| 0.639904 | 1.811852 | 0 |
| 0.640802 | 1.81179 | 0 |
| 0.641701 | 1.811727 | 0 |
| 0.642602 | 1.811665 | 0 |
| 0.643504 | 1.811603 | 0 |
| 0.644407 | 1.811541 | 0 |
| 0.645311 | 1.811479 | 0 |
| 0.646217 | 1.811417 | 0 |
| 0.647124 | 1.811356 | 0 |
| 0.648032 | 1.811294 | 0 |
| 0.648942 | 1.811233 | 0 |
| 0.649852 | 1.811172 | 0 |
| 0.650765 | 1.811111 | 0 |
| 0.651678 | 1.81105 | 0 |
| 0.652593 | 1.81099 | 0 |
| 0.653509 | 1.81093 | 0 |
| 0.654426 | 1.810869 | 0 |
| 0.655344 | 1.810809 | 0 |
| 0.656264 | 1.810749 | 0 |
| 0.657185 | 1.810689 | 0 |
| 0.658108 | 1.81063 | 0 |
| 0.659031 | 1.81057 | 0 |
| 0.659956 | 1.810511 | 0 |
| 0.660882 | 1.810452 | 0 |
| 0.66181 | 1.810393 | 0 |
| 0.662739 | 1.810334 | 0 |
| 0.663669 | 1.810275 | 0 |
| 0.664601 | 1.810217 | 0 |
| 0.665533 | 1.810158 | 0 |
| 0.666467 | 1.8101 | 0 |
| 0.667403 | 1.810042 | 0 |
| 0.66834 | 1.809984 | 0 |
| 0.669278 | 1.809926 | 0 |
| 0.670217 | 1.809868 | 0 |
| 0.671158 | 1.809811 | 0 |
| 0.6721 | 1.809753 | 0 |
| 0.673043 | 1.809696 | 0 |
| 0.673988 | 1.809639 | 0 |
| 0.674933 | 1.809582 | 0 |
| 0.675881 | 1.809525 | 0 |
| 0.676829 | 1.809469 | 0 |
| 0.677779 | 1.809412 | 0 |
| 0.678731 | 1.809356 | 0 |
| 0.679683 | 1.809299 | 0 |
| 0.680637 | 1.809243 | 0 |
| 0.681592 | 1.809187 | 0 |
| 0.682549 | 1.809132 | 0 |
| 0.683507 | 1.809076 | 0 |
| 0.684466 | 1.80902 | 0 |
| 0.685427 | 1.808965 | 0 |
| 0.686389 | 1.80891 | 0 |
| 0.687352 | 1.808854 | 0 |
| 0.688317 | 1.808799 | 0 |
| 0.689283 | 1.808745 | 0 |
| 0.690251 | 1.80869 | 0 |
| 0.691219 | 1.808635 | 0 |
| 0.69219 | 1.808581 | 0 |
| 0.693161 | 1.808526 | 0 |
| 0.694134 | 1.808472 | 0 |
| 0.695108 | 1.808418 | 0 |
| 0.696084 | 1.808364 | 0 |
| 0.697061 | 1.80831 | 0 |
| 0.698039 | 1.808257 | 0 |
| 0.699019 | 1.808203 | 0 |
| 0.7 | 1.80815 | 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
- —