Optical constants
Refractive index of E-F3 (HIKARI)
E-F3: 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
- 1.61293
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.60153
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 36.996
- Chromatic dispersion dn/dλ
- -0.0840988 µm⁻¹
- Group index ng
- 1.66234
- Group velocity dispersion
- 162.327 fs²/mm
- Dispersion parameter D
- -885.581 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-F3 (HIKARI): E-F3
hikari_e_f3 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-F3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_f3.range_nm) # (400, 700) nm
eps = hikari_e_f3.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_31f065b588b0/lightsmith"
hikari_e_f3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(hikari_e_f3.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (hikari-e-f3/hikari).
# ... load hikari_e_f3 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=hikari_e_f3)],
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 | 2.52228312 |
| C2 | -0.00104823034 |
| C3 | 2.0 |
| C4 | 0.029395765 |
| C5 | -2.0 |
| C6 | -0.00139163033 |
| C7 | -4.0 |
| C8 | 0.000289680505 |
| C9 | -6.0 |
| C10 | -1.26508887e-05 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 296 K
Properties
- nd
- 1.612930
- Vd
- 36.996203
- glass status
- preferred
- density
- value: 2670
- thermal expansion
- value: 8.3e-06, temperature range: 243 343
- dPgF
- -0.0004
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 | 1.644049 | 0 |
| 0.400561 | 1.64387 | 0 |
| 0.401124 | 1.643692 | 0 |
| 0.401687 | 1.643514 | 0 |
| 0.40225 | 1.643338 | 0 |
| 0.402815 | 1.643161 | 0 |
| 0.40338 | 1.642986 | 0 |
| 0.403946 | 1.642811 | 0 |
| 0.404513 | 1.642637 | 0 |
| 0.405081 | 1.642463 | 0 |
| 0.40565 | 1.64229 | 0 |
| 0.406219 | 1.642118 | 0 |
| 0.406789 | 1.641946 | 0 |
| 0.40736 | 1.641776 | 0 |
| 0.407932 | 1.641605 | 0 |
| 0.408504 | 1.641436 | 0 |
| 0.409078 | 1.641267 | 0 |
| 0.409652 | 1.641098 | 0 |
| 0.410227 | 1.640931 | 0 |
| 0.410803 | 1.640764 | 0 |
| 0.411379 | 1.640597 | 0 |
| 0.411957 | 1.640431 | 0 |
| 0.412535 | 1.640266 | 0 |
| 0.413114 | 1.640102 | 0 |
| 0.413694 | 1.639938 | 0 |
| 0.414274 | 1.639774 | 0 |
| 0.414856 | 1.639612 | 0 |
| 0.415438 | 1.63945 | 0 |
| 0.416021 | 1.639288 | 0 |
| 0.416605 | 1.639127 | 0 |
| 0.41719 | 1.638967 | 0 |
| 0.417775 | 1.638808 | 0 |
| 0.418362 | 1.638649 | 0 |
| 0.418949 | 1.63849 | 0 |
| 0.419537 | 1.638332 | 0 |
| 0.420126 | 1.638175 | 0 |
| 0.420715 | 1.638018 | 0 |
| 0.421306 | 1.637862 | 0 |
| 0.421897 | 1.637707 | 0 |
| 0.422489 | 1.637552 | 0 |
| 0.423082 | 1.637398 | 0 |
| 0.423676 | 1.637244 | 0 |
| 0.424271 | 1.637091 | 0 |
| 0.424866 | 1.636938 | 0 |
| 0.425462 | 1.636786 | 0 |
| 0.42606 | 1.636635 | 0 |
| 0.426658 | 1.636484 | 0 |
| 0.427256 | 1.636334 | 0 |
| 0.427856 | 1.636184 | 0 |
| 0.428457 | 1.636035 | 0 |
| 0.429058 | 1.635886 | 0 |
| 0.42966 | 1.635738 | 0 |
| 0.430263 | 1.635591 | 0 |
| 0.430867 | 1.635444 | 0 |
| 0.431472 | 1.635298 | 0 |
| 0.432077 | 1.635152 | 0 |
| 0.432684 | 1.635007 | 0 |
| 0.433291 | 1.634862 | 0 |
| 0.433899 | 1.634718 | 0 |
| 0.434508 | 1.634574 | 0 |
| 0.435118 | 1.634431 | 0 |
| 0.435729 | 1.634288 | 0 |
| 0.43634 | 1.634146 | 0 |
| 0.436953 | 1.634005 | 0 |
| 0.437566 | 1.633864 | 0 |
| 0.43818 | 1.633723 | 0 |
| 0.438795 | 1.633583 | 0 |
| 0.439411 | 1.633444 | 0 |
| 0.440028 | 1.633305 | 0 |
| 0.440645 | 1.633166 | 0 |
| 0.441264 | 1.633028 | 0 |
| 0.441883 | 1.632891 | 0 |
| 0.442503 | 1.632754 | 0 |
| 0.443124 | 1.632618 | 0 |
| 0.443746 | 1.632482 | 0 |
| 0.444369 | 1.632346 | 0 |
| 0.444993 | 1.632212 | 0 |
| 0.445617 | 1.632077 | 0 |
| 0.446243 | 1.631943 | 0 |
| 0.446869 | 1.63181 | 0 |
| 0.447496 | 1.631677 | 0 |
| 0.448124 | 1.631544 | 0 |
| 0.448753 | 1.631413 | 0 |
| 0.449383 | 1.631281 | 0 |
| 0.450014 | 1.63115 | 0 |
| 0.450645 | 1.63102 | 0 |
| 0.451278 | 1.63089 | 0 |
| 0.451911 | 1.63076 | 0 |
| 0.452546 | 1.630631 | 0 |
| 0.453181 | 1.630502 | 0 |
| 0.453817 | 1.630374 | 0 |
| 0.454454 | 1.630247 | 0 |
| 0.455092 | 1.630119 | 0 |
| 0.45573 | 1.629993 | 0 |
| 0.45637 | 1.629866 | 0 |
| 0.457011 | 1.62974 | 0 |
| 0.457652 | 1.629615 | 0 |
| 0.458294 | 1.62949 | 0 |
| 0.458938 | 1.629366 | 0 |
| 0.459582 | 1.629242 | 0 |
| 0.460227 | 1.629118 | 0 |
| 0.460873 | 1.628995 | 0 |
| 0.461519 | 1.628872 | 0 |
| 0.462167 | 1.62875 | 0 |
| 0.462816 | 1.628628 | 0 |
| 0.463465 | 1.628507 | 0 |
| 0.464116 | 1.628386 | 0 |
| 0.464767 | 1.628265 | 0 |
| 0.46542 | 1.628145 | 0 |
| 0.466073 | 1.628026 | 0 |
| 0.466727 | 1.627906 | 0 |
| 0.467382 | 1.627788 | 0 |
| 0.468038 | 1.627669 | 0 |
| 0.468695 | 1.627551 | 0 |
| 0.469353 | 1.627434 | 0 |
| 0.470012 | 1.627317 | 0 |
| 0.470671 | 1.6272 | 0 |
| 0.471332 | 1.627084 | 0 |
| 0.471993 | 1.626968 | 0 |
| 0.472656 | 1.626852 | 0 |
| 0.473319 | 1.626737 | 0 |
| 0.473984 | 1.626623 | 0 |
| 0.474649 | 1.626509 | 0 |
| 0.475315 | 1.626395 | 0 |
| 0.475982 | 1.626281 | 0 |
| 0.47665 | 1.626168 | 0 |
| 0.477319 | 1.626056 | 0 |
| 0.477989 | 1.625943 | 0 |
| 0.47866 | 1.625832 | 0 |
| 0.479332 | 1.62572 | 0 |
| 0.480005 | 1.625609 | 0 |
| 0.480678 | 1.625498 | 0 |
| 0.481353 | 1.625388 | 0 |
| 0.482028 | 1.625278 | 0 |
| 0.482705 | 1.625169 | 0 |
| 0.483382 | 1.62506 | 0 |
| 0.484061 | 1.624951 | 0 |
| 0.48474 | 1.624843 | 0 |
| 0.485421 | 1.624735 | 0 |
| 0.486102 | 1.624627 | 0 |
| 0.486784 | 1.62452 | 0 |
| 0.487467 | 1.624413 | 0 |
| 0.488152 | 1.624306 | 0 |
| 0.488837 | 1.6242 | 0 |
| 0.489523 | 1.624094 | 0 |
| 0.49021 | 1.623989 | 0 |
| 0.490898 | 1.623884 | 0 |
| 0.491587 | 1.623779 | 0 |
| 0.492277 | 1.623675 | 0 |
| 0.492968 | 1.623571 | 0 |
| 0.49366 | 1.623467 | 0 |
| 0.494353 | 1.623364 | 0 |
| 0.495046 | 1.623261 | 0 |
| 0.495741 | 1.623159 | 0 |
| 0.496437 | 1.623057 | 0 |
| 0.497134 | 1.622955 | 0 |
| 0.497832 | 1.622853 | 0 |
| 0.49853 | 1.622752 | 0 |
| 0.49923 | 1.622651 | 0 |
| 0.499931 | 1.622551 | 0 |
| 0.500632 | 1.622451 | 0 |
| 0.501335 | 1.622351 | 0 |
| 0.502039 | 1.622251 | 0 |
| 0.502743 | 1.622152 | 0 |
| 0.503449 | 1.622054 | 0 |
| 0.504155 | 1.621955 | 0 |
| 0.504863 | 1.621857 | 0 |
| 0.505572 | 1.621759 | 0 |
| 0.506281 | 1.621662 | 0 |
| 0.506992 | 1.621565 | 0 |
| 0.507703 | 1.621468 | 0 |
| 0.508416 | 1.621372 | 0 |
| 0.50913 | 1.621275 | 0 |
| 0.509844 | 1.62118 | 0 |
| 0.51056 | 1.621084 | 0 |
| 0.511276 | 1.620989 | 0 |
| 0.511994 | 1.620894 | 0 |
| 0.512712 | 1.6208 | 0 |
| 0.513432 | 1.620705 | 0 |
| 0.514153 | 1.620611 | 0 |
| 0.514874 | 1.620518 | 0 |
| 0.515597 | 1.620425 | 0 |
| 0.516321 | 1.620332 | 0 |
| 0.517045 | 1.620239 | 0 |
| 0.517771 | 1.620147 | 0 |
| 0.518498 | 1.620054 | 0 |
| 0.519225 | 1.619963 | 0 |
| 0.519954 | 1.619871 | 0 |
| 0.520684 | 1.61978 | 0 |
| 0.521415 | 1.619689 | 0 |
| 0.522147 | 1.619599 | 0 |
| 0.522879 | 1.619508 | 0 |
| 0.523613 | 1.619419 | 0 |
| 0.524348 | 1.619329 | 0 |
| 0.525084 | 1.61924 | 0 |
| 0.525821 | 1.61915 | 0 |
| 0.526559 | 1.619062 | 0 |
| 0.527298 | 1.618973 | 0 |
| 0.528038 | 1.618885 | 0 |
| 0.528779 | 1.618797 | 0 |
| 0.529521 | 1.618709 | 0 |
| 0.530265 | 1.618622 | 0 |
| 0.531009 | 1.618535 | 0 |
| 0.531754 | 1.618448 | 0 |
| 0.532501 | 1.618362 | 0 |
| 0.533248 | 1.618276 | 0 |
| 0.533996 | 1.61819 | 0 |
| 0.534746 | 1.618104 | 0 |
| 0.535496 | 1.618019 | 0 |
| 0.536248 | 1.617933 | 0 |
| 0.537001 | 1.617849 | 0 |
| 0.537754 | 1.617764 | 0 |
| 0.538509 | 1.61768 | 0 |
| 0.539265 | 1.617596 | 0 |
| 0.540022 | 1.617512 | 0 |
| 0.54078 | 1.617429 | 0 |
| 0.541539 | 1.617345 | 0 |
| 0.542299 | 1.617262 | 0 |
| 0.54306 | 1.61718 | 0 |
| 0.543822 | 1.617097 | 0 |
| 0.544585 | 1.617015 | 0 |
| 0.54535 | 1.616933 | 0 |
| 0.546115 | 1.616852 | 0 |
| 0.546882 | 1.61677 | 0 |
| 0.547649 | 1.616689 | 0 |
| 0.548418 | 1.616608 | 0 |
| 0.549187 | 1.616528 | 0 |
| 0.549958 | 1.616447 | 0 |
| 0.55073 | 1.616367 | 0 |
| 0.551503 | 1.616288 | 0 |
| 0.552277 | 1.616208 | 0 |
| 0.553052 | 1.616129 | 0 |
| 0.553829 | 1.61605 | 0 |
| 0.554606 | 1.615971 | 0 |
| 0.555384 | 1.615892 | 0 |
| 0.556164 | 1.615814 | 0 |
| 0.556944 | 1.615736 | 0 |
| 0.557726 | 1.615658 | 0 |
| 0.558509 | 1.61558 | 0 |
| 0.559293 | 1.615503 | 0 |
| 0.560078 | 1.615426 | 0 |
| 0.560864 | 1.615349 | 0 |
| 0.561651 | 1.615272 | 0 |
| 0.562439 | 1.615196 | 0 |
| 0.563229 | 1.61512 | 0 |
| 0.564019 | 1.615044 | 0 |
| 0.564811 | 1.614968 | 0 |
| 0.565604 | 1.614893 | 0 |
| 0.566397 | 1.614817 | 0 |
| 0.567192 | 1.614742 | 0 |
| 0.567988 | 1.614668 | 0 |
| 0.568786 | 1.614593 | 0 |
| 0.569584 | 1.614519 | 0 |
| 0.570383 | 1.614445 | 0 |
| 0.571184 | 1.614371 | 0 |
| 0.571986 | 1.614297 | 0 |
| 0.572788 | 1.614224 | 0 |
| 0.573592 | 1.614151 | 0 |
| 0.574397 | 1.614078 | 0 |
| 0.575204 | 1.614005 | 0 |
| 0.576011 | 1.613933 | 0 |
| 0.576819 | 1.61386 | 0 |
| 0.577629 | 1.613788 | 0 |
| 0.57844 | 1.613717 | 0 |
| 0.579251 | 1.613645 | 0 |
| 0.580064 | 1.613574 | 0 |
| 0.580879 | 1.613502 | 0 |
| 0.581694 | 1.613432 | 0 |
| 0.58251 | 1.613361 | 0 |
| 0.583328 | 1.61329 | 0 |
| 0.584147 | 1.61322 | 0 |
| 0.584966 | 1.61315 | 0 |
| 0.585787 | 1.61308 | 0 |
| 0.58661 | 1.61301 | 0 |
| 0.587433 | 1.612941 | 0 |
| 0.588257 | 1.612872 | 0 |
| 0.589083 | 1.612803 | 0 |
| 0.58991 | 1.612734 | 0 |
| 0.590738 | 1.612665 | 0 |
| 0.591567 | 1.612597 | 0 |
| 0.592397 | 1.612528 | 0 |
| 0.593229 | 1.61246 | 0 |
| 0.594061 | 1.612393 | 0 |
| 0.594895 | 1.612325 | 0 |
| 0.59573 | 1.612258 | 0 |
| 0.596566 | 1.612191 | 0 |
| 0.597403 | 1.612124 | 0 |
| 0.598242 | 1.612057 | 0 |
| 0.599082 | 1.61199 | 0 |
| 0.599922 | 1.611924 | 0 |
| 0.600764 | 1.611858 | 0 |
| 0.601608 | 1.611792 | 0 |
| 0.602452 | 1.611726 | 0 |
| 0.603298 | 1.61166 | 0 |
| 0.604144 | 1.611595 | 0 |
| 0.604992 | 1.61153 | 0 |
| 0.605841 | 1.611464 | 0 |
| 0.606692 | 1.6114 | 0 |
| 0.607543 | 1.611335 | 0 |
| 0.608396 | 1.611271 | 0 |
| 0.60925 | 1.611206 | 0 |
| 0.610105 | 1.611142 | 0 |
| 0.610961 | 1.611078 | 0 |
| 0.611819 | 1.611015 | 0 |
| 0.612677 | 1.610951 | 0 |
| 0.613537 | 1.610888 | 0 |
| 0.614398 | 1.610825 | 0 |
| 0.615261 | 1.610762 | 0 |
| 0.616124 | 1.610699 | 0 |
| 0.616989 | 1.610636 | 0 |
| 0.617855 | 1.610574 | 0 |
| 0.618722 | 1.610512 | 0 |
| 0.619591 | 1.61045 | 0 |
| 0.62046 | 1.610388 | 0 |
| 0.621331 | 1.610326 | 0 |
| 0.622203 | 1.610265 | 0 |
| 0.623076 | 1.610203 | 0 |
| 0.623951 | 1.610142 | 0 |
| 0.624827 | 1.610081 | 0 |
| 0.625704 | 1.610021 | 0 |
| 0.626582 | 1.60996 | 0 |
| 0.627461 | 1.6099 | 0 |
| 0.628342 | 1.609839 | 0 |
| 0.629224 | 1.609779 | 0 |
| 0.630107 | 1.609719 | 0 |
| 0.630991 | 1.60966 | 0 |
| 0.631877 | 1.6096 | 0 |
| 0.632764 | 1.609541 | 0 |
| 0.633652 | 1.609482 | 0 |
| 0.634541 | 1.609422 | 0 |
| 0.635432 | 1.609364 | 0 |
| 0.636324 | 1.609305 | 0 |
| 0.637217 | 1.609246 | 0 |
| 0.638111 | 1.609188 | 0 |
| 0.639007 | 1.60913 | 0 |
| 0.639904 | 1.609072 | 0 |
| 0.640802 | 1.609014 | 0 |
| 0.641701 | 1.608956 | 0 |
| 0.642602 | 1.608899 | 0 |
| 0.643504 | 1.608841 | 0 |
| 0.644407 | 1.608784 | 0 |
| 0.645311 | 1.608727 | 0 |
| 0.646217 | 1.60867 | 0 |
| 0.647124 | 1.608614 | 0 |
| 0.648032 | 1.608557 | 0 |
| 0.648942 | 1.608501 | 0 |
| 0.649852 | 1.608444 | 0 |
| 0.650765 | 1.608388 | 0 |
| 0.651678 | 1.608332 | 0 |
| 0.652593 | 1.608277 | 0 |
| 0.653509 | 1.608221 | 0 |
| 0.654426 | 1.608166 | 0 |
| 0.655344 | 1.60811 | 0 |
| 0.656264 | 1.608055 | 0 |
| 0.657185 | 1.608 | 0 |
| 0.658108 | 1.607945 | 0 |
| 0.659031 | 1.607891 | 0 |
| 0.659956 | 1.607836 | 0 |
| 0.660882 | 1.607782 | 0 |
| 0.66181 | 1.607728 | 0 |
| 0.662739 | 1.607674 | 0 |
| 0.663669 | 1.60762 | 0 |
| 0.664601 | 1.607566 | 0 |
| 0.665533 | 1.607512 | 0 |
| 0.666467 | 1.607459 | 0 |
| 0.667403 | 1.607406 | 0 |
| 0.66834 | 1.607353 | 0 |
| 0.669278 | 1.6073 | 0 |
| 0.670217 | 1.607247 | 0 |
| 0.671158 | 1.607194 | 0 |
| 0.6721 | 1.607142 | 0 |
| 0.673043 | 1.607089 | 0 |
| 0.673988 | 1.607037 | 0 |
| 0.674933 | 1.606985 | 0 |
| 0.675881 | 1.606933 | 0 |
| 0.676829 | 1.606881 | 0 |
| 0.677779 | 1.606829 | 0 |
| 0.678731 | 1.606778 | 0 |
| 0.679683 | 1.606726 | 0 |
| 0.680637 | 1.606675 | 0 |
| 0.681592 | 1.606624 | 0 |
| 0.682549 | 1.606573 | 0 |
| 0.683507 | 1.606522 | 0 |
| 0.684466 | 1.606472 | 0 |
| 0.685427 | 1.606421 | 0 |
| 0.686389 | 1.606371 | 0 |
| 0.687352 | 1.606321 | 0 |
| 0.688317 | 1.60627 | 0 |
| 0.689283 | 1.60622 | 0 |
| 0.690251 | 1.606171 | 0 |
| 0.691219 | 1.606121 | 0 |
| 0.69219 | 1.606071 | 0 |
| 0.693161 | 1.606022 | 0 |
| 0.694134 | 1.605973 | 0 |
| 0.695108 | 1.605924 | 0 |
| 0.696084 | 1.605875 | 0 |
| 0.697061 | 1.605826 | 0 |
| 0.698039 | 1.605777 | 0 |
| 0.699019 | 1.605728 | 0 |
| 0.7 | 1.60568 | 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
- —