Optical constants
Refractive index of E-LAK06 (HIKARI)
E-LAK06: 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
- 1.6779
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.81534
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 50.709
- Chromatic dispersion dn/dλ
- -0.0685877 µm⁻¹
- Group index ng
- 1.7182
- Group velocity dispersion
- 126.341 fs²/mm
- Dispersion parameter D
- -689.259 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-LAK06 (HIKARI): E-LAK06
hikari_e_lak06 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAK06", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lak06.range_nm) # (400, 700) nm
eps = hikari_e_lak06.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_acb8afb060a7/lightsmith"
hikari_e_lak06 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(hikari_e_lak06.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (hikari-e-lak06/hikari).
# ... load hikari_e_lak06 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=hikari_e_lak06)],
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 | 2.77078533 |
| C2 | -0.0176502071 |
| C3 | 2.0 |
| C4 | 0.011803041 |
| C5 | -2.0 |
| C6 | 0.0027975002 |
| C7 | -4.0 |
| C8 | -0.000346617455 |
| C9 | -6.0 |
| C10 | 2.01612172e-05 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 296 K
Properties
- nd
- 1.677900
- Vd
- 50.708792
- glass status
- preferred
- density
- value: 3860
- thermal expansion
- value: 9.5e-06, temperature range: 243 343
- dPgF
- -0.0027
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 | 1.702101 | 0 |
| 0.400561 | 1.701966 | 0 |
| 0.401124 | 1.701831 | 0 |
| 0.401687 | 1.701697 | 0 |
| 0.40225 | 1.701564 | 0 |
| 0.402815 | 1.701431 | 0 |
| 0.40338 | 1.701298 | 0 |
| 0.403946 | 1.701166 | 0 |
| 0.404513 | 1.701035 | 0 |
| 0.405081 | 1.700904 | 0 |
| 0.40565 | 1.700773 | 0 |
| 0.406219 | 1.700643 | 0 |
| 0.406789 | 1.700514 | 0 |
| 0.40736 | 1.700385 | 0 |
| 0.407932 | 1.700257 | 0 |
| 0.408504 | 1.700129 | 0 |
| 0.409078 | 1.700001 | 0 |
| 0.409652 | 1.699874 | 0 |
| 0.410227 | 1.699748 | 0 |
| 0.410803 | 1.699622 | 0 |
| 0.411379 | 1.699496 | 0 |
| 0.411957 | 1.699371 | 0 |
| 0.412535 | 1.699246 | 0 |
| 0.413114 | 1.699122 | 0 |
| 0.413694 | 1.698998 | 0 |
| 0.414274 | 1.698875 | 0 |
| 0.414856 | 1.698752 | 0 |
| 0.415438 | 1.69863 | 0 |
| 0.416021 | 1.698508 | 0 |
| 0.416605 | 1.698387 | 0 |
| 0.41719 | 1.698266 | 0 |
| 0.417775 | 1.698145 | 0 |
| 0.418362 | 1.698025 | 0 |
| 0.418949 | 1.697905 | 0 |
| 0.419537 | 1.697786 | 0 |
| 0.420126 | 1.697667 | 0 |
| 0.420715 | 1.697549 | 0 |
| 0.421306 | 1.697431 | 0 |
| 0.421897 | 1.697313 | 0 |
| 0.422489 | 1.697196 | 0 |
| 0.423082 | 1.69708 | 0 |
| 0.423676 | 1.696963 | 0 |
| 0.424271 | 1.696847 | 0 |
| 0.424866 | 1.696732 | 0 |
| 0.425462 | 1.696617 | 0 |
| 0.42606 | 1.696502 | 0 |
| 0.426658 | 1.696388 | 0 |
| 0.427256 | 1.696274 | 0 |
| 0.427856 | 1.696161 | 0 |
| 0.428457 | 1.696047 | 0 |
| 0.429058 | 1.695935 | 0 |
| 0.42966 | 1.695823 | 0 |
| 0.430263 | 1.695711 | 0 |
| 0.430867 | 1.695599 | 0 |
| 0.431472 | 1.695488 | 0 |
| 0.432077 | 1.695377 | 0 |
| 0.432684 | 1.695267 | 0 |
| 0.433291 | 1.695157 | 0 |
| 0.433899 | 1.695047 | 0 |
| 0.434508 | 1.694938 | 0 |
| 0.435118 | 1.694829 | 0 |
| 0.435729 | 1.694721 | 0 |
| 0.43634 | 1.694613 | 0 |
| 0.436953 | 1.694505 | 0 |
| 0.437566 | 1.694398 | 0 |
| 0.43818 | 1.694291 | 0 |
| 0.438795 | 1.694184 | 0 |
| 0.439411 | 1.694078 | 0 |
| 0.440028 | 1.693972 | 0 |
| 0.440645 | 1.693866 | 0 |
| 0.441264 | 1.693761 | 0 |
| 0.441883 | 1.693656 | 0 |
| 0.442503 | 1.693551 | 0 |
| 0.443124 | 1.693447 | 0 |
| 0.443746 | 1.693343 | 0 |
| 0.444369 | 1.69324 | 0 |
| 0.444993 | 1.693137 | 0 |
| 0.445617 | 1.693034 | 0 |
| 0.446243 | 1.692931 | 0 |
| 0.446869 | 1.692829 | 0 |
| 0.447496 | 1.692728 | 0 |
| 0.448124 | 1.692626 | 0 |
| 0.448753 | 1.692525 | 0 |
| 0.449383 | 1.692424 | 0 |
| 0.450014 | 1.692324 | 0 |
| 0.450645 | 1.692224 | 0 |
| 0.451278 | 1.692124 | 0 |
| 0.451911 | 1.692024 | 0 |
| 0.452546 | 1.691925 | 0 |
| 0.453181 | 1.691826 | 0 |
| 0.453817 | 1.691728 | 0 |
| 0.454454 | 1.691629 | 0 |
| 0.455092 | 1.691532 | 0 |
| 0.45573 | 1.691434 | 0 |
| 0.45637 | 1.691337 | 0 |
| 0.457011 | 1.69124 | 0 |
| 0.457652 | 1.691143 | 0 |
| 0.458294 | 1.691047 | 0 |
| 0.458938 | 1.690951 | 0 |
| 0.459582 | 1.690855 | 0 |
| 0.460227 | 1.69076 | 0 |
| 0.460873 | 1.690665 | 0 |
| 0.461519 | 1.69057 | 0 |
| 0.462167 | 1.690475 | 0 |
| 0.462816 | 1.690381 | 0 |
| 0.463465 | 1.690287 | 0 |
| 0.464116 | 1.690194 | 0 |
| 0.464767 | 1.6901 | 0 |
| 0.46542 | 1.690007 | 0 |
| 0.466073 | 1.689915 | 0 |
| 0.466727 | 1.689822 | 0 |
| 0.467382 | 1.68973 | 0 |
| 0.468038 | 1.689638 | 0 |
| 0.468695 | 1.689547 | 0 |
| 0.469353 | 1.689456 | 0 |
| 0.470012 | 1.689365 | 0 |
| 0.470671 | 1.689274 | 0 |
| 0.471332 | 1.689184 | 0 |
| 0.471993 | 1.689094 | 0 |
| 0.472656 | 1.689004 | 0 |
| 0.473319 | 1.688914 | 0 |
| 0.473984 | 1.688825 | 0 |
| 0.474649 | 1.688736 | 0 |
| 0.475315 | 1.688647 | 0 |
| 0.475982 | 1.688559 | 0 |
| 0.47665 | 1.688471 | 0 |
| 0.477319 | 1.688383 | 0 |
| 0.477989 | 1.688295 | 0 |
| 0.47866 | 1.688208 | 0 |
| 0.479332 | 1.688121 | 0 |
| 0.480005 | 1.688034 | 0 |
| 0.480678 | 1.687948 | 0 |
| 0.481353 | 1.687861 | 0 |
| 0.482028 | 1.687775 | 0 |
| 0.482705 | 1.68769 | 0 |
| 0.483382 | 1.687604 | 0 |
| 0.484061 | 1.687519 | 0 |
| 0.48474 | 1.687434 | 0 |
| 0.485421 | 1.687349 | 0 |
| 0.486102 | 1.687265 | 0 |
| 0.486784 | 1.687181 | 0 |
| 0.487467 | 1.687097 | 0 |
| 0.488152 | 1.687013 | 0 |
| 0.488837 | 1.68693 | 0 |
| 0.489523 | 1.686847 | 0 |
| 0.49021 | 1.686764 | 0 |
| 0.490898 | 1.686681 | 0 |
| 0.491587 | 1.686599 | 0 |
| 0.492277 | 1.686517 | 0 |
| 0.492968 | 1.686435 | 0 |
| 0.49366 | 1.686353 | 0 |
| 0.494353 | 1.686272 | 0 |
| 0.495046 | 1.686191 | 0 |
| 0.495741 | 1.68611 | 0 |
| 0.496437 | 1.68603 | 0 |
| 0.497134 | 1.685949 | 0 |
| 0.497832 | 1.685869 | 0 |
| 0.49853 | 1.685789 | 0 |
| 0.49923 | 1.68571 | 0 |
| 0.499931 | 1.68563 | 0 |
| 0.500632 | 1.685551 | 0 |
| 0.501335 | 1.685472 | 0 |
| 0.502039 | 1.685393 | 0 |
| 0.502743 | 1.685315 | 0 |
| 0.503449 | 1.685237 | 0 |
| 0.504155 | 1.685159 | 0 |
| 0.504863 | 1.685081 | 0 |
| 0.505572 | 1.685004 | 0 |
| 0.506281 | 1.684926 | 0 |
| 0.506992 | 1.684849 | 0 |
| 0.507703 | 1.684773 | 0 |
| 0.508416 | 1.684696 | 0 |
| 0.50913 | 1.68462 | 0 |
| 0.509844 | 1.684544 | 0 |
| 0.51056 | 1.684468 | 0 |
| 0.511276 | 1.684392 | 0 |
| 0.511994 | 1.684317 | 0 |
| 0.512712 | 1.684242 | 0 |
| 0.513432 | 1.684167 | 0 |
| 0.514153 | 1.684092 | 0 |
| 0.514874 | 1.684017 | 0 |
| 0.515597 | 1.683943 | 0 |
| 0.516321 | 1.683869 | 0 |
| 0.517045 | 1.683795 | 0 |
| 0.517771 | 1.683722 | 0 |
| 0.518498 | 1.683648 | 0 |
| 0.519225 | 1.683575 | 0 |
| 0.519954 | 1.683502 | 0 |
| 0.520684 | 1.683429 | 0 |
| 0.521415 | 1.683357 | 0 |
| 0.522147 | 1.683284 | 0 |
| 0.522879 | 1.683212 | 0 |
| 0.523613 | 1.68314 | 0 |
| 0.524348 | 1.683069 | 0 |
| 0.525084 | 1.682997 | 0 |
| 0.525821 | 1.682926 | 0 |
| 0.526559 | 1.682855 | 0 |
| 0.527298 | 1.682784 | 0 |
| 0.528038 | 1.682714 | 0 |
| 0.528779 | 1.682643 | 0 |
| 0.529521 | 1.682573 | 0 |
| 0.530265 | 1.682503 | 0 |
| 0.531009 | 1.682433 | 0 |
| 0.531754 | 1.682364 | 0 |
| 0.532501 | 1.682294 | 0 |
| 0.533248 | 1.682225 | 0 |
| 0.533996 | 1.682156 | 0 |
| 0.534746 | 1.682087 | 0 |
| 0.535496 | 1.682019 | 0 |
| 0.536248 | 1.68195 | 0 |
| 0.537001 | 1.681882 | 0 |
| 0.537754 | 1.681814 | 0 |
| 0.538509 | 1.681747 | 0 |
| 0.539265 | 1.681679 | 0 |
| 0.540022 | 1.681612 | 0 |
| 0.54078 | 1.681545 | 0 |
| 0.541539 | 1.681478 | 0 |
| 0.542299 | 1.681411 | 0 |
| 0.54306 | 1.681344 | 0 |
| 0.543822 | 1.681278 | 0 |
| 0.544585 | 1.681212 | 0 |
| 0.54535 | 1.681146 | 0 |
| 0.546115 | 1.68108 | 0 |
| 0.546882 | 1.681014 | 0 |
| 0.547649 | 1.680949 | 0 |
| 0.548418 | 1.680884 | 0 |
| 0.549187 | 1.680819 | 0 |
| 0.549958 | 1.680754 | 0 |
| 0.55073 | 1.680689 | 0 |
| 0.551503 | 1.680625 | 0 |
| 0.552277 | 1.680561 | 0 |
| 0.553052 | 1.680496 | 0 |
| 0.553829 | 1.680433 | 0 |
| 0.554606 | 1.680369 | 0 |
| 0.555384 | 1.680305 | 0 |
| 0.556164 | 1.680242 | 0 |
| 0.556944 | 1.680179 | 0 |
| 0.557726 | 1.680116 | 0 |
| 0.558509 | 1.680053 | 0 |
| 0.559293 | 1.67999 | 0 |
| 0.560078 | 1.679928 | 0 |
| 0.560864 | 1.679866 | 0 |
| 0.561651 | 1.679804 | 0 |
| 0.562439 | 1.679742 | 0 |
| 0.563229 | 1.67968 | 0 |
| 0.564019 | 1.679619 | 0 |
| 0.564811 | 1.679557 | 0 |
| 0.565604 | 1.679496 | 0 |
| 0.566397 | 1.679435 | 0 |
| 0.567192 | 1.679374 | 0 |
| 0.567988 | 1.679314 | 0 |
| 0.568786 | 1.679253 | 0 |
| 0.569584 | 1.679193 | 0 |
| 0.570383 | 1.679133 | 0 |
| 0.571184 | 1.679073 | 0 |
| 0.571986 | 1.679013 | 0 |
| 0.572788 | 1.678953 | 0 |
| 0.573592 | 1.678894 | 0 |
| 0.574397 | 1.678835 | 0 |
| 0.575204 | 1.678776 | 0 |
| 0.576011 | 1.678717 | 0 |
| 0.576819 | 1.678658 | 0 |
| 0.577629 | 1.678599 | 0 |
| 0.57844 | 1.678541 | 0 |
| 0.579251 | 1.678483 | 0 |
| 0.580064 | 1.678424 | 0 |
| 0.580879 | 1.678366 | 0 |
| 0.581694 | 1.678309 | 0 |
| 0.58251 | 1.678251 | 0 |
| 0.583328 | 1.678194 | 0 |
| 0.584147 | 1.678136 | 0 |
| 0.584966 | 1.678079 | 0 |
| 0.585787 | 1.678022 | 0 |
| 0.58661 | 1.677965 | 0 |
| 0.587433 | 1.677909 | 0 |
| 0.588257 | 1.677852 | 0 |
| 0.589083 | 1.677796 | 0 |
| 0.58991 | 1.67774 | 0 |
| 0.590738 | 1.677684 | 0 |
| 0.591567 | 1.677628 | 0 |
| 0.592397 | 1.677572 | 0 |
| 0.593229 | 1.677517 | 0 |
| 0.594061 | 1.677461 | 0 |
| 0.594895 | 1.677406 | 0 |
| 0.59573 | 1.677351 | 0 |
| 0.596566 | 1.677296 | 0 |
| 0.597403 | 1.677241 | 0 |
| 0.598242 | 1.677187 | 0 |
| 0.599082 | 1.677132 | 0 |
| 0.599922 | 1.677078 | 0 |
| 0.600764 | 1.677024 | 0 |
| 0.601608 | 1.67697 | 0 |
| 0.602452 | 1.676916 | 0 |
| 0.603298 | 1.676862 | 0 |
| 0.604144 | 1.676809 | 0 |
| 0.604992 | 1.676755 | 0 |
| 0.605841 | 1.676702 | 0 |
| 0.606692 | 1.676649 | 0 |
| 0.607543 | 1.676596 | 0 |
| 0.608396 | 1.676543 | 0 |
| 0.60925 | 1.676491 | 0 |
| 0.610105 | 1.676438 | 0 |
| 0.610961 | 1.676386 | 0 |
| 0.611819 | 1.676333 | 0 |
| 0.612677 | 1.676281 | 0 |
| 0.613537 | 1.676229 | 0 |
| 0.614398 | 1.676178 | 0 |
| 0.615261 | 1.676126 | 0 |
| 0.616124 | 1.676074 | 0 |
| 0.616989 | 1.676023 | 0 |
| 0.617855 | 1.675972 | 0 |
| 0.618722 | 1.675921 | 0 |
| 0.619591 | 1.67587 | 0 |
| 0.62046 | 1.675819 | 0 |
| 0.621331 | 1.675768 | 0 |
| 0.622203 | 1.675718 | 0 |
| 0.623076 | 1.675667 | 0 |
| 0.623951 | 1.675617 | 0 |
| 0.624827 | 1.675567 | 0 |
| 0.625704 | 1.675517 | 0 |
| 0.626582 | 1.675467 | 0 |
| 0.627461 | 1.675417 | 0 |
| 0.628342 | 1.675368 | 0 |
| 0.629224 | 1.675318 | 0 |
| 0.630107 | 1.675269 | 0 |
| 0.630991 | 1.67522 | 0 |
| 0.631877 | 1.67517 | 0 |
| 0.632764 | 1.675121 | 0 |
| 0.633652 | 1.675073 | 0 |
| 0.634541 | 1.675024 | 0 |
| 0.635432 | 1.674975 | 0 |
| 0.636324 | 1.674927 | 0 |
| 0.637217 | 1.674879 | 0 |
| 0.638111 | 1.674831 | 0 |
| 0.639007 | 1.674782 | 0 |
| 0.639904 | 1.674735 | 0 |
| 0.640802 | 1.674687 | 0 |
| 0.641701 | 1.674639 | 0 |
| 0.642602 | 1.674592 | 0 |
| 0.643504 | 1.674544 | 0 |
| 0.644407 | 1.674497 | 0 |
| 0.645311 | 1.67445 | 0 |
| 0.646217 | 1.674403 | 0 |
| 0.647124 | 1.674356 | 0 |
| 0.648032 | 1.674309 | 0 |
| 0.648942 | 1.674262 | 0 |
| 0.649852 | 1.674216 | 0 |
| 0.650765 | 1.674169 | 0 |
| 0.651678 | 1.674123 | 0 |
| 0.652593 | 1.674077 | 0 |
| 0.653509 | 1.674031 | 0 |
| 0.654426 | 1.673985 | 0 |
| 0.655344 | 1.673939 | 0 |
| 0.656264 | 1.673893 | 0 |
| 0.657185 | 1.673847 | 0 |
| 0.658108 | 1.673802 | 0 |
| 0.659031 | 1.673757 | 0 |
| 0.659956 | 1.673711 | 0 |
| 0.660882 | 1.673666 | 0 |
| 0.66181 | 1.673621 | 0 |
| 0.662739 | 1.673576 | 0 |
| 0.663669 | 1.673532 | 0 |
| 0.664601 | 1.673487 | 0 |
| 0.665533 | 1.673442 | 0 |
| 0.666467 | 1.673398 | 0 |
| 0.667403 | 1.673353 | 0 |
| 0.66834 | 1.673309 | 0 |
| 0.669278 | 1.673265 | 0 |
| 0.670217 | 1.673221 | 0 |
| 0.671158 | 1.673177 | 0 |
| 0.6721 | 1.673133 | 0 |
| 0.673043 | 1.67309 | 0 |
| 0.673988 | 1.673046 | 0 |
| 0.674933 | 1.673003 | 0 |
| 0.675881 | 1.672959 | 0 |
| 0.676829 | 1.672916 | 0 |
| 0.677779 | 1.672873 | 0 |
| 0.678731 | 1.67283 | 0 |
| 0.679683 | 1.672787 | 0 |
| 0.680637 | 1.672744 | 0 |
| 0.681592 | 1.672701 | 0 |
| 0.682549 | 1.672659 | 0 |
| 0.683507 | 1.672616 | 0 |
| 0.684466 | 1.672574 | 0 |
| 0.685427 | 1.672532 | 0 |
| 0.686389 | 1.672489 | 0 |
| 0.687352 | 1.672447 | 0 |
| 0.688317 | 1.672405 | 0 |
| 0.689283 | 1.672363 | 0 |
| 0.690251 | 1.672321 | 0 |
| 0.691219 | 1.67228 | 0 |
| 0.69219 | 1.672238 | 0 |
| 0.693161 | 1.672197 | 0 |
| 0.694134 | 1.672155 | 0 |
| 0.695108 | 1.672114 | 0 |
| 0.696084 | 1.672073 | 0 |
| 0.697061 | 1.672032 | 0 |
| 0.698039 | 1.671991 | 0 |
| 0.699019 | 1.67195 | 0 |
| 0.7 | 1.671909 | 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
- —