Optical constants
Refractive index of E-SK18 (HIKARI)
E-SK18: 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
- 1.63854
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.68481
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 55.48
- Chromatic dispersion dn/dλ
- -0.0592228 µm⁻¹
- Group index ng
- 1.67334
- Group velocity dispersion
- 106.103 fs²/mm
- Dispersion parameter D
- -578.85 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-SK18 (HIKARI): E-SK18
hikari_e_sk18 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-SK18", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_sk18.range_nm) # (400, 700) nm
eps = hikari_e_sk18.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_a32d383dd29e/lightsmith"
hikari_e_sk18 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(hikari_e_sk18.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (hikari-e-sk18/hikari).
# ... load hikari_e_sk18 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=hikari_e_sk18)],
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 | 2.65253732 |
| C2 | -0.0207076891 |
| C3 | 2.0 |
| C4 | 0.00823565189 |
| C5 | -2.0 |
| C6 | 0.00259890034 |
| C7 | -4.0 |
| C8 | -0.00030272324 |
| C9 | -6.0 |
| C10 | 1.591967e-05 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 296 K
Properties
- nd
- 1.638540
- Vd
- 55.479598
- glass status
- preferred
- density
- value: 3670
- thermal expansion
- value: 8.1e-06, temperature range: 243 343
- dPgF
- -0.0021
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 | 1.659096 | 0 |
| 0.400561 | 1.658984 | 0 |
| 0.401124 | 1.658872 | 0 |
| 0.401687 | 1.65876 | 0 |
| 0.40225 | 1.658649 | 0 |
| 0.402815 | 1.658538 | 0 |
| 0.40338 | 1.658428 | 0 |
| 0.403946 | 1.658318 | 0 |
| 0.404513 | 1.658208 | 0 |
| 0.405081 | 1.658099 | 0 |
| 0.40565 | 1.65799 | 0 |
| 0.406219 | 1.657882 | 0 |
| 0.406789 | 1.657773 | 0 |
| 0.40736 | 1.657666 | 0 |
| 0.407932 | 1.657558 | 0 |
| 0.408504 | 1.657452 | 0 |
| 0.409078 | 1.657345 | 0 |
| 0.409652 | 1.657239 | 0 |
| 0.410227 | 1.657133 | 0 |
| 0.410803 | 1.657028 | 0 |
| 0.411379 | 1.656922 | 0 |
| 0.411957 | 1.656818 | 0 |
| 0.412535 | 1.656713 | 0 |
| 0.413114 | 1.656609 | 0 |
| 0.413694 | 1.656506 | 0 |
| 0.414274 | 1.656403 | 0 |
| 0.414856 | 1.6563 | 0 |
| 0.415438 | 1.656197 | 0 |
| 0.416021 | 1.656095 | 0 |
| 0.416605 | 1.655993 | 0 |
| 0.41719 | 1.655891 | 0 |
| 0.417775 | 1.65579 | 0 |
| 0.418362 | 1.655689 | 0 |
| 0.418949 | 1.655589 | 0 |
| 0.419537 | 1.655489 | 0 |
| 0.420126 | 1.655389 | 0 |
| 0.420715 | 1.65529 | 0 |
| 0.421306 | 1.65519 | 0 |
| 0.421897 | 1.655092 | 0 |
| 0.422489 | 1.654993 | 0 |
| 0.423082 | 1.654895 | 0 |
| 0.423676 | 1.654797 | 0 |
| 0.424271 | 1.6547 | 0 |
| 0.424866 | 1.654602 | 0 |
| 0.425462 | 1.654506 | 0 |
| 0.42606 | 1.654409 | 0 |
| 0.426658 | 1.654313 | 0 |
| 0.427256 | 1.654217 | 0 |
| 0.427856 | 1.654121 | 0 |
| 0.428457 | 1.654026 | 0 |
| 0.429058 | 1.653931 | 0 |
| 0.42966 | 1.653836 | 0 |
| 0.430263 | 1.653742 | 0 |
| 0.430867 | 1.653648 | 0 |
| 0.431472 | 1.653554 | 0 |
| 0.432077 | 1.653461 | 0 |
| 0.432684 | 1.653368 | 0 |
| 0.433291 | 1.653275 | 0 |
| 0.433899 | 1.653182 | 0 |
| 0.434508 | 1.65309 | 0 |
| 0.435118 | 1.652998 | 0 |
| 0.435729 | 1.652907 | 0 |
| 0.43634 | 1.652815 | 0 |
| 0.436953 | 1.652724 | 0 |
| 0.437566 | 1.652634 | 0 |
| 0.43818 | 1.652543 | 0 |
| 0.438795 | 1.652453 | 0 |
| 0.439411 | 1.652363 | 0 |
| 0.440028 | 1.652273 | 0 |
| 0.440645 | 1.652184 | 0 |
| 0.441264 | 1.652095 | 0 |
| 0.441883 | 1.652006 | 0 |
| 0.442503 | 1.651918 | 0 |
| 0.443124 | 1.65183 | 0 |
| 0.443746 | 1.651742 | 0 |
| 0.444369 | 1.651654 | 0 |
| 0.444993 | 1.651567 | 0 |
| 0.445617 | 1.65148 | 0 |
| 0.446243 | 1.651393 | 0 |
| 0.446869 | 1.651306 | 0 |
| 0.447496 | 1.65122 | 0 |
| 0.448124 | 1.651134 | 0 |
| 0.448753 | 1.651048 | 0 |
| 0.449383 | 1.650963 | 0 |
| 0.450014 | 1.650878 | 0 |
| 0.450645 | 1.650793 | 0 |
| 0.451278 | 1.650708 | 0 |
| 0.451911 | 1.650624 | 0 |
| 0.452546 | 1.65054 | 0 |
| 0.453181 | 1.650456 | 0 |
| 0.453817 | 1.650372 | 0 |
| 0.454454 | 1.650289 | 0 |
| 0.455092 | 1.650206 | 0 |
| 0.45573 | 1.650123 | 0 |
| 0.45637 | 1.65004 | 0 |
| 0.457011 | 1.649958 | 0 |
| 0.457652 | 1.649876 | 0 |
| 0.458294 | 1.649794 | 0 |
| 0.458938 | 1.649712 | 0 |
| 0.459582 | 1.649631 | 0 |
| 0.460227 | 1.64955 | 0 |
| 0.460873 | 1.649469 | 0 |
| 0.461519 | 1.649389 | 0 |
| 0.462167 | 1.649308 | 0 |
| 0.462816 | 1.649228 | 0 |
| 0.463465 | 1.649149 | 0 |
| 0.464116 | 1.649069 | 0 |
| 0.464767 | 1.64899 | 0 |
| 0.46542 | 1.64891 | 0 |
| 0.466073 | 1.648832 | 0 |
| 0.466727 | 1.648753 | 0 |
| 0.467382 | 1.648675 | 0 |
| 0.468038 | 1.648596 | 0 |
| 0.468695 | 1.648519 | 0 |
| 0.469353 | 1.648441 | 0 |
| 0.470012 | 1.648363 | 0 |
| 0.470671 | 1.648286 | 0 |
| 0.471332 | 1.648209 | 0 |
| 0.471993 | 1.648133 | 0 |
| 0.472656 | 1.648056 | 0 |
| 0.473319 | 1.64798 | 0 |
| 0.473984 | 1.647904 | 0 |
| 0.474649 | 1.647828 | 0 |
| 0.475315 | 1.647752 | 0 |
| 0.475982 | 1.647677 | 0 |
| 0.47665 | 1.647602 | 0 |
| 0.477319 | 1.647527 | 0 |
| 0.477989 | 1.647452 | 0 |
| 0.47866 | 1.647378 | 0 |
| 0.479332 | 1.647304 | 0 |
| 0.480005 | 1.64723 | 0 |
| 0.480678 | 1.647156 | 0 |
| 0.481353 | 1.647082 | 0 |
| 0.482028 | 1.647009 | 0 |
| 0.482705 | 1.646936 | 0 |
| 0.483382 | 1.646863 | 0 |
| 0.484061 | 1.64679 | 0 |
| 0.48474 | 1.646718 | 0 |
| 0.485421 | 1.646646 | 0 |
| 0.486102 | 1.646574 | 0 |
| 0.486784 | 1.646502 | 0 |
| 0.487467 | 1.64643 | 0 |
| 0.488152 | 1.646359 | 0 |
| 0.488837 | 1.646288 | 0 |
| 0.489523 | 1.646217 | 0 |
| 0.49021 | 1.646146 | 0 |
| 0.490898 | 1.646076 | 0 |
| 0.491587 | 1.646005 | 0 |
| 0.492277 | 1.645935 | 0 |
| 0.492968 | 1.645865 | 0 |
| 0.49366 | 1.645795 | 0 |
| 0.494353 | 1.645726 | 0 |
| 0.495046 | 1.645657 | 0 |
| 0.495741 | 1.645588 | 0 |
| 0.496437 | 1.645519 | 0 |
| 0.497134 | 1.64545 | 0 |
| 0.497832 | 1.645382 | 0 |
| 0.49853 | 1.645313 | 0 |
| 0.49923 | 1.645245 | 0 |
| 0.499931 | 1.645177 | 0 |
| 0.500632 | 1.64511 | 0 |
| 0.501335 | 1.645042 | 0 |
| 0.502039 | 1.644975 | 0 |
| 0.502743 | 1.644908 | 0 |
| 0.503449 | 1.644841 | 0 |
| 0.504155 | 1.644774 | 0 |
| 0.504863 | 1.644708 | 0 |
| 0.505572 | 1.644642 | 0 |
| 0.506281 | 1.644576 | 0 |
| 0.506992 | 1.64451 | 0 |
| 0.507703 | 1.644444 | 0 |
| 0.508416 | 1.644378 | 0 |
| 0.50913 | 1.644313 | 0 |
| 0.509844 | 1.644248 | 0 |
| 0.51056 | 1.644183 | 0 |
| 0.511276 | 1.644118 | 0 |
| 0.511994 | 1.644054 | 0 |
| 0.512712 | 1.643989 | 0 |
| 0.513432 | 1.643925 | 0 |
| 0.514153 | 1.643861 | 0 |
| 0.514874 | 1.643797 | 0 |
| 0.515597 | 1.643734 | 0 |
| 0.516321 | 1.64367 | 0 |
| 0.517045 | 1.643607 | 0 |
| 0.517771 | 1.643544 | 0 |
| 0.518498 | 1.643481 | 0 |
| 0.519225 | 1.643419 | 0 |
| 0.519954 | 1.643356 | 0 |
| 0.520684 | 1.643294 | 0 |
| 0.521415 | 1.643232 | 0 |
| 0.522147 | 1.64317 | 0 |
| 0.522879 | 1.643108 | 0 |
| 0.523613 | 1.643046 | 0 |
| 0.524348 | 1.642985 | 0 |
| 0.525084 | 1.642924 | 0 |
| 0.525821 | 1.642862 | 0 |
| 0.526559 | 1.642802 | 0 |
| 0.527298 | 1.642741 | 0 |
| 0.528038 | 1.64268 | 0 |
| 0.528779 | 1.64262 | 0 |
| 0.529521 | 1.64256 | 0 |
| 0.530265 | 1.6425 | 0 |
| 0.531009 | 1.64244 | 0 |
| 0.531754 | 1.64238 | 0 |
| 0.532501 | 1.642321 | 0 |
| 0.533248 | 1.642261 | 0 |
| 0.533996 | 1.642202 | 0 |
| 0.534746 | 1.642143 | 0 |
| 0.535496 | 1.642084 | 0 |
| 0.536248 | 1.642026 | 0 |
| 0.537001 | 1.641967 | 0 |
| 0.537754 | 1.641909 | 0 |
| 0.538509 | 1.641851 | 0 |
| 0.539265 | 1.641793 | 0 |
| 0.540022 | 1.641735 | 0 |
| 0.54078 | 1.641677 | 0 |
| 0.541539 | 1.64162 | 0 |
| 0.542299 | 1.641562 | 0 |
| 0.54306 | 1.641505 | 0 |
| 0.543822 | 1.641448 | 0 |
| 0.544585 | 1.641391 | 0 |
| 0.54535 | 1.641335 | 0 |
| 0.546115 | 1.641278 | 0 |
| 0.546882 | 1.641222 | 0 |
| 0.547649 | 1.641166 | 0 |
| 0.548418 | 1.64111 | 0 |
| 0.549187 | 1.641054 | 0 |
| 0.549958 | 1.640998 | 0 |
| 0.55073 | 1.640943 | 0 |
| 0.551503 | 1.640887 | 0 |
| 0.552277 | 1.640832 | 0 |
| 0.553052 | 1.640777 | 0 |
| 0.553829 | 1.640722 | 0 |
| 0.554606 | 1.640667 | 0 |
| 0.555384 | 1.640612 | 0 |
| 0.556164 | 1.640558 | 0 |
| 0.556944 | 1.640504 | 0 |
| 0.557726 | 1.640449 | 0 |
| 0.558509 | 1.640395 | 0 |
| 0.559293 | 1.640342 | 0 |
| 0.560078 | 1.640288 | 0 |
| 0.560864 | 1.640234 | 0 |
| 0.561651 | 1.640181 | 0 |
| 0.562439 | 1.640128 | 0 |
| 0.563229 | 1.640075 | 0 |
| 0.564019 | 1.640022 | 0 |
| 0.564811 | 1.639969 | 0 |
| 0.565604 | 1.639916 | 0 |
| 0.566397 | 1.639864 | 0 |
| 0.567192 | 1.639811 | 0 |
| 0.567988 | 1.639759 | 0 |
| 0.568786 | 1.639707 | 0 |
| 0.569584 | 1.639655 | 0 |
| 0.570383 | 1.639603 | 0 |
| 0.571184 | 1.639551 | 0 |
| 0.571986 | 1.6395 | 0 |
| 0.572788 | 1.639449 | 0 |
| 0.573592 | 1.639397 | 0 |
| 0.574397 | 1.639346 | 0 |
| 0.575204 | 1.639295 | 0 |
| 0.576011 | 1.639245 | 0 |
| 0.576819 | 1.639194 | 0 |
| 0.577629 | 1.639143 | 0 |
| 0.57844 | 1.639093 | 0 |
| 0.579251 | 1.639043 | 0 |
| 0.580064 | 1.638993 | 0 |
| 0.580879 | 1.638943 | 0 |
| 0.581694 | 1.638893 | 0 |
| 0.58251 | 1.638843 | 0 |
| 0.583328 | 1.638793 | 0 |
| 0.584147 | 1.638744 | 0 |
| 0.584966 | 1.638695 | 0 |
| 0.585787 | 1.638646 | 0 |
| 0.58661 | 1.638597 | 0 |
| 0.587433 | 1.638548 | 0 |
| 0.588257 | 1.638499 | 0 |
| 0.589083 | 1.63845 | 0 |
| 0.58991 | 1.638402 | 0 |
| 0.590738 | 1.638353 | 0 |
| 0.591567 | 1.638305 | 0 |
| 0.592397 | 1.638257 | 0 |
| 0.593229 | 1.638209 | 0 |
| 0.594061 | 1.638161 | 0 |
| 0.594895 | 1.638113 | 0 |
| 0.59573 | 1.638066 | 0 |
| 0.596566 | 1.638018 | 0 |
| 0.597403 | 1.637971 | 0 |
| 0.598242 | 1.637924 | 0 |
| 0.599082 | 1.637877 | 0 |
| 0.599922 | 1.63783 | 0 |
| 0.600764 | 1.637783 | 0 |
| 0.601608 | 1.637736 | 0 |
| 0.602452 | 1.63769 | 0 |
| 0.603298 | 1.637643 | 0 |
| 0.604144 | 1.637597 | 0 |
| 0.604992 | 1.63755 | 0 |
| 0.605841 | 1.637504 | 0 |
| 0.606692 | 1.637458 | 0 |
| 0.607543 | 1.637413 | 0 |
| 0.608396 | 1.637367 | 0 |
| 0.60925 | 1.637321 | 0 |
| 0.610105 | 1.637276 | 0 |
| 0.610961 | 1.63723 | 0 |
| 0.611819 | 1.637185 | 0 |
| 0.612677 | 1.63714 | 0 |
| 0.613537 | 1.637095 | 0 |
| 0.614398 | 1.63705 | 0 |
| 0.615261 | 1.637005 | 0 |
| 0.616124 | 1.63696 | 0 |
| 0.616989 | 1.636916 | 0 |
| 0.617855 | 1.636871 | 0 |
| 0.618722 | 1.636827 | 0 |
| 0.619591 | 1.636783 | 0 |
| 0.62046 | 1.636739 | 0 |
| 0.621331 | 1.636695 | 0 |
| 0.622203 | 1.636651 | 0 |
| 0.623076 | 1.636607 | 0 |
| 0.623951 | 1.636563 | 0 |
| 0.624827 | 1.63652 | 0 |
| 0.625704 | 1.636476 | 0 |
| 0.626582 | 1.636433 | 0 |
| 0.627461 | 1.63639 | 0 |
| 0.628342 | 1.636347 | 0 |
| 0.629224 | 1.636304 | 0 |
| 0.630107 | 1.636261 | 0 |
| 0.630991 | 1.636218 | 0 |
| 0.631877 | 1.636175 | 0 |
| 0.632764 | 1.636133 | 0 |
| 0.633652 | 1.63609 | 0 |
| 0.634541 | 1.636048 | 0 |
| 0.635432 | 1.636006 | 0 |
| 0.636324 | 1.635963 | 0 |
| 0.637217 | 1.635921 | 0 |
| 0.638111 | 1.635879 | 0 |
| 0.639007 | 1.635837 | 0 |
| 0.639904 | 1.635796 | 0 |
| 0.640802 | 1.635754 | 0 |
| 0.641701 | 1.635713 | 0 |
| 0.642602 | 1.635671 | 0 |
| 0.643504 | 1.63563 | 0 |
| 0.644407 | 1.635589 | 0 |
| 0.645311 | 1.635547 | 0 |
| 0.646217 | 1.635506 | 0 |
| 0.647124 | 1.635465 | 0 |
| 0.648032 | 1.635425 | 0 |
| 0.648942 | 1.635384 | 0 |
| 0.649852 | 1.635343 | 0 |
| 0.650765 | 1.635303 | 0 |
| 0.651678 | 1.635262 | 0 |
| 0.652593 | 1.635222 | 0 |
| 0.653509 | 1.635182 | 0 |
| 0.654426 | 1.635141 | 0 |
| 0.655344 | 1.635101 | 0 |
| 0.656264 | 1.635061 | 0 |
| 0.657185 | 1.635021 | 0 |
| 0.658108 | 1.634982 | 0 |
| 0.659031 | 1.634942 | 0 |
| 0.659956 | 1.634902 | 0 |
| 0.660882 | 1.634863 | 0 |
| 0.66181 | 1.634823 | 0 |
| 0.662739 | 1.634784 | 0 |
| 0.663669 | 1.634745 | 0 |
| 0.664601 | 1.634706 | 0 |
| 0.665533 | 1.634667 | 0 |
| 0.666467 | 1.634628 | 0 |
| 0.667403 | 1.634589 | 0 |
| 0.66834 | 1.63455 | 0 |
| 0.669278 | 1.634511 | 0 |
| 0.670217 | 1.634473 | 0 |
| 0.671158 | 1.634434 | 0 |
| 0.6721 | 1.634396 | 0 |
| 0.673043 | 1.634358 | 0 |
| 0.673988 | 1.634319 | 0 |
| 0.674933 | 1.634281 | 0 |
| 0.675881 | 1.634243 | 0 |
| 0.676829 | 1.634205 | 0 |
| 0.677779 | 1.634167 | 0 |
| 0.678731 | 1.634129 | 0 |
| 0.679683 | 1.634091 | 0 |
| 0.680637 | 1.634054 | 0 |
| 0.681592 | 1.634016 | 0 |
| 0.682549 | 1.633979 | 0 |
| 0.683507 | 1.633941 | 0 |
| 0.684466 | 1.633904 | 0 |
| 0.685427 | 1.633867 | 0 |
| 0.686389 | 1.63383 | 0 |
| 0.687352 | 1.633792 | 0 |
| 0.688317 | 1.633755 | 0 |
| 0.689283 | 1.633718 | 0 |
| 0.690251 | 1.633682 | 0 |
| 0.691219 | 1.633645 | 0 |
| 0.69219 | 1.633608 | 0 |
| 0.693161 | 1.633572 | 0 |
| 0.694134 | 1.633535 | 0 |
| 0.695108 | 1.633498 | 0 |
| 0.696084 | 1.633462 | 0 |
| 0.697061 | 1.633426 | 0 |
| 0.698039 | 1.63339 | 0 |
| 0.699019 | 1.633353 | 0 |
| 0.7 | 1.633317 | 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
- —