Optical constants
Refractive index of E-F1 (HIKARI)
E-F1: 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
- 1.62588
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.64348
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 35.65
- Chromatic dispersion dn/dλ
- -0.0889919 µm⁻¹
- Group index ng
- 1.67817
- Group velocity dispersion
- 172.965 fs²/mm
- Dispersion parameter D
- -943.616 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-F1 (HIKARI): E-F1
hikari_e_f1 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-F1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_f1.range_nm) # (400, 700) nm
eps = hikari_e_f1.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_ef36c597b814/lightsmith"
hikari_e_f1 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(hikari_e_f1.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (hikari-e-f1/hikari).
# ... load hikari_e_f1 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=hikari_e_f1)],
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 | 2.56251919 |
| C2 | -0.00314623487 |
| C3 | 2.0 |
| C4 | 0.0291600242 |
| C5 | -2.0 |
| C6 | -0.000870730012 |
| C7 | -4.0 |
| C8 | 0.000226533195 |
| C9 | -6.0 |
| C10 | -8.61239946e-06 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 296 K
Properties
- nd
- 1.625882
- Vd
- 35.649694
- glass status
- preferred
- density
- value: 2720
- thermal expansion
- value: 8.3e-06, temperature range: 243 343
- dPgF
- 0.0006
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 | 1.659041 | 0 |
| 0.400561 | 1.658849 | 0 |
| 0.401124 | 1.658657 | 0 |
| 0.401687 | 1.658466 | 0 |
| 0.40225 | 1.658276 | 0 |
| 0.402815 | 1.658087 | 0 |
| 0.40338 | 1.657898 | 0 |
| 0.403946 | 1.65771 | 0 |
| 0.404513 | 1.657523 | 0 |
| 0.405081 | 1.657336 | 0 |
| 0.40565 | 1.657151 | 0 |
| 0.406219 | 1.656966 | 0 |
| 0.406789 | 1.656782 | 0 |
| 0.40736 | 1.656598 | 0 |
| 0.407932 | 1.656415 | 0 |
| 0.408504 | 1.656233 | 0 |
| 0.409078 | 1.656052 | 0 |
| 0.409652 | 1.655871 | 0 |
| 0.410227 | 1.655691 | 0 |
| 0.410803 | 1.655512 | 0 |
| 0.411379 | 1.655334 | 0 |
| 0.411957 | 1.655156 | 0 |
| 0.412535 | 1.654979 | 0 |
| 0.413114 | 1.654802 | 0 |
| 0.413694 | 1.654627 | 0 |
| 0.414274 | 1.654452 | 0 |
| 0.414856 | 1.654277 | 0 |
| 0.415438 | 1.654104 | 0 |
| 0.416021 | 1.653931 | 0 |
| 0.416605 | 1.653758 | 0 |
| 0.41719 | 1.653587 | 0 |
| 0.417775 | 1.653416 | 0 |
| 0.418362 | 1.653246 | 0 |
| 0.418949 | 1.653076 | 0 |
| 0.419537 | 1.652907 | 0 |
| 0.420126 | 1.652739 | 0 |
| 0.420715 | 1.652571 | 0 |
| 0.421306 | 1.652404 | 0 |
| 0.421897 | 1.652238 | 0 |
| 0.422489 | 1.652072 | 0 |
| 0.423082 | 1.651907 | 0 |
| 0.423676 | 1.651742 | 0 |
| 0.424271 | 1.651579 | 0 |
| 0.424866 | 1.651415 | 0 |
| 0.425462 | 1.651253 | 0 |
| 0.42606 | 1.651091 | 0 |
| 0.426658 | 1.65093 | 0 |
| 0.427256 | 1.650769 | 0 |
| 0.427856 | 1.650609 | 0 |
| 0.428457 | 1.650449 | 0 |
| 0.429058 | 1.650291 | 0 |
| 0.42966 | 1.650132 | 0 |
| 0.430263 | 1.649975 | 0 |
| 0.430867 | 1.649818 | 0 |
| 0.431472 | 1.649661 | 0 |
| 0.432077 | 1.649505 | 0 |
| 0.432684 | 1.64935 | 0 |
| 0.433291 | 1.649196 | 0 |
| 0.433899 | 1.649042 | 0 |
| 0.434508 | 1.648888 | 0 |
| 0.435118 | 1.648735 | 0 |
| 0.435729 | 1.648583 | 0 |
| 0.43634 | 1.648431 | 0 |
| 0.436953 | 1.64828 | 0 |
| 0.437566 | 1.64813 | 0 |
| 0.43818 | 1.64798 | 0 |
| 0.438795 | 1.64783 | 0 |
| 0.439411 | 1.647681 | 0 |
| 0.440028 | 1.647533 | 0 |
| 0.440645 | 1.647385 | 0 |
| 0.441264 | 1.647238 | 0 |
| 0.441883 | 1.647091 | 0 |
| 0.442503 | 1.646945 | 0 |
| 0.443124 | 1.6468 | 0 |
| 0.443746 | 1.646655 | 0 |
| 0.444369 | 1.64651 | 0 |
| 0.444993 | 1.646367 | 0 |
| 0.445617 | 1.646223 | 0 |
| 0.446243 | 1.64608 | 0 |
| 0.446869 | 1.645938 | 0 |
| 0.447496 | 1.645796 | 0 |
| 0.448124 | 1.645655 | 0 |
| 0.448753 | 1.645514 | 0 |
| 0.449383 | 1.645374 | 0 |
| 0.450014 | 1.645235 | 0 |
| 0.450645 | 1.645096 | 0 |
| 0.451278 | 1.644957 | 0 |
| 0.451911 | 1.644819 | 0 |
| 0.452546 | 1.644681 | 0 |
| 0.453181 | 1.644544 | 0 |
| 0.453817 | 1.644408 | 0 |
| 0.454454 | 1.644271 | 0 |
| 0.455092 | 1.644136 | 0 |
| 0.45573 | 1.644001 | 0 |
| 0.45637 | 1.643866 | 0 |
| 0.457011 | 1.643732 | 0 |
| 0.457652 | 1.643599 | 0 |
| 0.458294 | 1.643466 | 0 |
| 0.458938 | 1.643333 | 0 |
| 0.459582 | 1.643201 | 0 |
| 0.460227 | 1.643069 | 0 |
| 0.460873 | 1.642938 | 0 |
| 0.461519 | 1.642807 | 0 |
| 0.462167 | 1.642677 | 0 |
| 0.462816 | 1.642547 | 0 |
| 0.463465 | 1.642418 | 0 |
| 0.464116 | 1.642289 | 0 |
| 0.464767 | 1.642161 | 0 |
| 0.46542 | 1.642033 | 0 |
| 0.466073 | 1.641906 | 0 |
| 0.466727 | 1.641779 | 0 |
| 0.467382 | 1.641653 | 0 |
| 0.468038 | 1.641527 | 0 |
| 0.468695 | 1.641401 | 0 |
| 0.469353 | 1.641276 | 0 |
| 0.470012 | 1.641151 | 0 |
| 0.470671 | 1.641027 | 0 |
| 0.471332 | 1.640903 | 0 |
| 0.471993 | 1.64078 | 0 |
| 0.472656 | 1.640657 | 0 |
| 0.473319 | 1.640535 | 0 |
| 0.473984 | 1.640413 | 0 |
| 0.474649 | 1.640291 | 0 |
| 0.475315 | 1.64017 | 0 |
| 0.475982 | 1.640049 | 0 |
| 0.47665 | 1.639929 | 0 |
| 0.477319 | 1.639809 | 0 |
| 0.477989 | 1.63969 | 0 |
| 0.47866 | 1.639571 | 0 |
| 0.479332 | 1.639452 | 0 |
| 0.480005 | 1.639334 | 0 |
| 0.480678 | 1.639217 | 0 |
| 0.481353 | 1.639099 | 0 |
| 0.482028 | 1.638982 | 0 |
| 0.482705 | 1.638866 | 0 |
| 0.483382 | 1.63875 | 0 |
| 0.484061 | 1.638634 | 0 |
| 0.48474 | 1.638519 | 0 |
| 0.485421 | 1.638404 | 0 |
| 0.486102 | 1.63829 | 0 |
| 0.486784 | 1.638176 | 0 |
| 0.487467 | 1.638062 | 0 |
| 0.488152 | 1.637949 | 0 |
| 0.488837 | 1.637836 | 0 |
| 0.489523 | 1.637724 | 0 |
| 0.49021 | 1.637612 | 0 |
| 0.490898 | 1.6375 | 0 |
| 0.491587 | 1.637389 | 0 |
| 0.492277 | 1.637278 | 0 |
| 0.492968 | 1.637167 | 0 |
| 0.49366 | 1.637057 | 0 |
| 0.494353 | 1.636948 | 0 |
| 0.495046 | 1.636838 | 0 |
| 0.495741 | 1.636729 | 0 |
| 0.496437 | 1.636621 | 0 |
| 0.497134 | 1.636513 | 0 |
| 0.497832 | 1.636405 | 0 |
| 0.49853 | 1.636297 | 0 |
| 0.49923 | 1.63619 | 0 |
| 0.499931 | 1.636083 | 0 |
| 0.500632 | 1.635977 | 0 |
| 0.501335 | 1.635871 | 0 |
| 0.502039 | 1.635765 | 0 |
| 0.502743 | 1.63566 | 0 |
| 0.503449 | 1.635555 | 0 |
| 0.504155 | 1.635451 | 0 |
| 0.504863 | 1.635346 | 0 |
| 0.505572 | 1.635243 | 0 |
| 0.506281 | 1.635139 | 0 |
| 0.506992 | 1.635036 | 0 |
| 0.507703 | 1.634933 | 0 |
| 0.508416 | 1.634831 | 0 |
| 0.50913 | 1.634729 | 0 |
| 0.509844 | 1.634627 | 0 |
| 0.51056 | 1.634526 | 0 |
| 0.511276 | 1.634425 | 0 |
| 0.511994 | 1.634324 | 0 |
| 0.512712 | 1.634223 | 0 |
| 0.513432 | 1.634123 | 0 |
| 0.514153 | 1.634024 | 0 |
| 0.514874 | 1.633924 | 0 |
| 0.515597 | 1.633825 | 0 |
| 0.516321 | 1.633727 | 0 |
| 0.517045 | 1.633628 | 0 |
| 0.517771 | 1.63353 | 0 |
| 0.518498 | 1.633433 | 0 |
| 0.519225 | 1.633335 | 0 |
| 0.519954 | 1.633238 | 0 |
| 0.520684 | 1.633141 | 0 |
| 0.521415 | 1.633045 | 0 |
| 0.522147 | 1.632949 | 0 |
| 0.522879 | 1.632853 | 0 |
| 0.523613 | 1.632758 | 0 |
| 0.524348 | 1.632663 | 0 |
| 0.525084 | 1.632568 | 0 |
| 0.525821 | 1.632473 | 0 |
| 0.526559 | 1.632379 | 0 |
| 0.527298 | 1.632285 | 0 |
| 0.528038 | 1.632192 | 0 |
| 0.528779 | 1.632098 | 0 |
| 0.529521 | 1.632005 | 0 |
| 0.530265 | 1.631913 | 0 |
| 0.531009 | 1.63182 | 0 |
| 0.531754 | 1.631728 | 0 |
| 0.532501 | 1.631637 | 0 |
| 0.533248 | 1.631545 | 0 |
| 0.533996 | 1.631454 | 0 |
| 0.534746 | 1.631363 | 0 |
| 0.535496 | 1.631273 | 0 |
| 0.536248 | 1.631182 | 0 |
| 0.537001 | 1.631092 | 0 |
| 0.537754 | 1.631003 | 0 |
| 0.538509 | 1.630913 | 0 |
| 0.539265 | 1.630824 | 0 |
| 0.540022 | 1.630736 | 0 |
| 0.54078 | 1.630647 | 0 |
| 0.541539 | 1.630559 | 0 |
| 0.542299 | 1.630471 | 0 |
| 0.54306 | 1.630383 | 0 |
| 0.543822 | 1.630296 | 0 |
| 0.544585 | 1.630209 | 0 |
| 0.54535 | 1.630122 | 0 |
| 0.546115 | 1.630035 | 0 |
| 0.546882 | 1.629949 | 0 |
| 0.547649 | 1.629863 | 0 |
| 0.548418 | 1.629778 | 0 |
| 0.549187 | 1.629692 | 0 |
| 0.549958 | 1.629607 | 0 |
| 0.55073 | 1.629522 | 0 |
| 0.551503 | 1.629438 | 0 |
| 0.552277 | 1.629353 | 0 |
| 0.553052 | 1.629269 | 0 |
| 0.553829 | 1.629185 | 0 |
| 0.554606 | 1.629102 | 0 |
| 0.555384 | 1.629019 | 0 |
| 0.556164 | 1.628936 | 0 |
| 0.556944 | 1.628853 | 0 |
| 0.557726 | 1.62877 | 0 |
| 0.558509 | 1.628688 | 0 |
| 0.559293 | 1.628606 | 0 |
| 0.560078 | 1.628524 | 0 |
| 0.560864 | 1.628443 | 0 |
| 0.561651 | 1.628362 | 0 |
| 0.562439 | 1.628281 | 0 |
| 0.563229 | 1.6282 | 0 |
| 0.564019 | 1.62812 | 0 |
| 0.564811 | 1.62804 | 0 |
| 0.565604 | 1.62796 | 0 |
| 0.566397 | 1.62788 | 0 |
| 0.567192 | 1.627801 | 0 |
| 0.567988 | 1.627722 | 0 |
| 0.568786 | 1.627643 | 0 |
| 0.569584 | 1.627564 | 0 |
| 0.570383 | 1.627486 | 0 |
| 0.571184 | 1.627407 | 0 |
| 0.571986 | 1.627329 | 0 |
| 0.572788 | 1.627252 | 0 |
| 0.573592 | 1.627174 | 0 |
| 0.574397 | 1.627097 | 0 |
| 0.575204 | 1.62702 | 0 |
| 0.576011 | 1.626943 | 0 |
| 0.576819 | 1.626867 | 0 |
| 0.577629 | 1.626791 | 0 |
| 0.57844 | 1.626715 | 0 |
| 0.579251 | 1.626639 | 0 |
| 0.580064 | 1.626563 | 0 |
| 0.580879 | 1.626488 | 0 |
| 0.581694 | 1.626413 | 0 |
| 0.58251 | 1.626338 | 0 |
| 0.583328 | 1.626263 | 0 |
| 0.584147 | 1.626189 | 0 |
| 0.584966 | 1.626115 | 0 |
| 0.585787 | 1.626041 | 0 |
| 0.58661 | 1.625967 | 0 |
| 0.587433 | 1.625893 | 0 |
| 0.588257 | 1.62582 | 0 |
| 0.589083 | 1.625747 | 0 |
| 0.58991 | 1.625674 | 0 |
| 0.590738 | 1.625602 | 0 |
| 0.591567 | 1.625529 | 0 |
| 0.592397 | 1.625457 | 0 |
| 0.593229 | 1.625385 | 0 |
| 0.594061 | 1.625313 | 0 |
| 0.594895 | 1.625242 | 0 |
| 0.59573 | 1.625171 | 0 |
| 0.596566 | 1.6251 | 0 |
| 0.597403 | 1.625029 | 0 |
| 0.598242 | 1.624958 | 0 |
| 0.599082 | 1.624888 | 0 |
| 0.599922 | 1.624817 | 0 |
| 0.600764 | 1.624747 | 0 |
| 0.601608 | 1.624678 | 0 |
| 0.602452 | 1.624608 | 0 |
| 0.603298 | 1.624539 | 0 |
| 0.604144 | 1.624469 | 0 |
| 0.604992 | 1.6244 | 0 |
| 0.605841 | 1.624332 | 0 |
| 0.606692 | 1.624263 | 0 |
| 0.607543 | 1.624195 | 0 |
| 0.608396 | 1.624127 | 0 |
| 0.60925 | 1.624059 | 0 |
| 0.610105 | 1.623991 | 0 |
| 0.610961 | 1.623923 | 0 |
| 0.611819 | 1.623856 | 0 |
| 0.612677 | 1.623789 | 0 |
| 0.613537 | 1.623722 | 0 |
| 0.614398 | 1.623655 | 0 |
| 0.615261 | 1.623589 | 0 |
| 0.616124 | 1.623522 | 0 |
| 0.616989 | 1.623456 | 0 |
| 0.617855 | 1.62339 | 0 |
| 0.618722 | 1.623324 | 0 |
| 0.619591 | 1.623259 | 0 |
| 0.62046 | 1.623194 | 0 |
| 0.621331 | 1.623128 | 0 |
| 0.622203 | 1.623063 | 0 |
| 0.623076 | 1.622999 | 0 |
| 0.623951 | 1.622934 | 0 |
| 0.624827 | 1.62287 | 0 |
| 0.625704 | 1.622805 | 0 |
| 0.626582 | 1.622741 | 0 |
| 0.627461 | 1.622677 | 0 |
| 0.628342 | 1.622614 | 0 |
| 0.629224 | 1.62255 | 0 |
| 0.630107 | 1.622487 | 0 |
| 0.630991 | 1.622424 | 0 |
| 0.631877 | 1.622361 | 0 |
| 0.632764 | 1.622298 | 0 |
| 0.633652 | 1.622236 | 0 |
| 0.634541 | 1.622173 | 0 |
| 0.635432 | 1.622111 | 0 |
| 0.636324 | 1.622049 | 0 |
| 0.637217 | 1.621987 | 0 |
| 0.638111 | 1.621925 | 0 |
| 0.639007 | 1.621864 | 0 |
| 0.639904 | 1.621803 | 0 |
| 0.640802 | 1.621742 | 0 |
| 0.641701 | 1.621681 | 0 |
| 0.642602 | 1.62162 | 0 |
| 0.643504 | 1.621559 | 0 |
| 0.644407 | 1.621499 | 0 |
| 0.645311 | 1.621439 | 0 |
| 0.646217 | 1.621378 | 0 |
| 0.647124 | 1.621319 | 0 |
| 0.648032 | 1.621259 | 0 |
| 0.648942 | 1.621199 | 0 |
| 0.649852 | 1.62114 | 0 |
| 0.650765 | 1.621081 | 0 |
| 0.651678 | 1.621022 | 0 |
| 0.652593 | 1.620963 | 0 |
| 0.653509 | 1.620904 | 0 |
| 0.654426 | 1.620845 | 0 |
| 0.655344 | 1.620787 | 0 |
| 0.656264 | 1.620729 | 0 |
| 0.657185 | 1.620671 | 0 |
| 0.658108 | 1.620613 | 0 |
| 0.659031 | 1.620555 | 0 |
| 0.659956 | 1.620498 | 0 |
| 0.660882 | 1.62044 | 0 |
| 0.66181 | 1.620383 | 0 |
| 0.662739 | 1.620326 | 0 |
| 0.663669 | 1.620269 | 0 |
| 0.664601 | 1.620212 | 0 |
| 0.665533 | 1.620156 | 0 |
| 0.666467 | 1.620099 | 0 |
| 0.667403 | 1.620043 | 0 |
| 0.66834 | 1.619987 | 0 |
| 0.669278 | 1.619931 | 0 |
| 0.670217 | 1.619875 | 0 |
| 0.671158 | 1.619819 | 0 |
| 0.6721 | 1.619764 | 0 |
| 0.673043 | 1.619709 | 0 |
| 0.673988 | 1.619653 | 0 |
| 0.674933 | 1.619598 | 0 |
| 0.675881 | 1.619544 | 0 |
| 0.676829 | 1.619489 | 0 |
| 0.677779 | 1.619434 | 0 |
| 0.678731 | 1.61938 | 0 |
| 0.679683 | 1.619326 | 0 |
| 0.680637 | 1.619272 | 0 |
| 0.681592 | 1.619218 | 0 |
| 0.682549 | 1.619164 | 0 |
| 0.683507 | 1.61911 | 0 |
| 0.684466 | 1.619057 | 0 |
| 0.685427 | 1.619003 | 0 |
| 0.686389 | 1.61895 | 0 |
| 0.687352 | 1.618897 | 0 |
| 0.688317 | 1.618844 | 0 |
| 0.689283 | 1.618791 | 0 |
| 0.690251 | 1.618739 | 0 |
| 0.691219 | 1.618686 | 0 |
| 0.69219 | 1.618634 | 0 |
| 0.693161 | 1.618582 | 0 |
| 0.694134 | 1.61853 | 0 |
| 0.695108 | 1.618478 | 0 |
| 0.696084 | 1.618426 | 0 |
| 0.697061 | 1.618374 | 0 |
| 0.698039 | 1.618323 | 0 |
| 0.699019 | 1.618272 | 0 |
| 0.7 | 1.61822 | 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
- —