Optical constants
Refractive index of E-LF7 (HIKARI)
E-LF7: 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
- 1.575
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.48064
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 41.482
- Chromatic dispersion dn/dλ
- -0.0705593 µm⁻¹
- Group index ng
- 1.61646
- Group velocity dispersion
- 133.796 fs²/mm
- Dispersion parameter D
- -729.928 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-LF7 (HIKARI): E-LF7
hikari_e_lf7 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LF7", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lf7.range_nm) # (400, 700) nm
eps = hikari_e_lf7.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_e7387dec0540/lightsmith"
hikari_e_lf7 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(hikari_e_lf7.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (hikari-e-lf7/hikari).
# ... load hikari_e_lf7 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=hikari_e_lf7)],
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 | 2.42793483 |
| C2 | -0.0101841542 |
| C3 | 2.0 |
| C4 | 0.01737719 |
| C5 | -2.0 |
| C6 | 0.000782340309 |
| C7 | -4.0 |
| C8 | -4.23035005e-05 |
| C9 | -6.0 |
| C10 | 5.02350788e-06 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 296 K
Properties
- nd
- 1.575006
- Vd
- 41.481733
- glass status
- preferred
- density
- value: 2540
- thermal expansion
- value: 7.8e-06, temperature range: 243 343
- dPgF
- 0.0014
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 | 1.600878 | 0 |
| 0.400561 | 1.600728 | 0 |
| 0.401124 | 1.60058 | 0 |
| 0.401687 | 1.600431 | 0 |
| 0.40225 | 1.600284 | 0 |
| 0.402815 | 1.600136 | 0 |
| 0.40338 | 1.59999 | 0 |
| 0.403946 | 1.599844 | 0 |
| 0.404513 | 1.599699 | 0 |
| 0.405081 | 1.599554 | 0 |
| 0.40565 | 1.59941 | 0 |
| 0.406219 | 1.599267 | 0 |
| 0.406789 | 1.599124 | 0 |
| 0.40736 | 1.598981 | 0 |
| 0.407932 | 1.598839 | 0 |
| 0.408504 | 1.598698 | 0 |
| 0.409078 | 1.598558 | 0 |
| 0.409652 | 1.598418 | 0 |
| 0.410227 | 1.598278 | 0 |
| 0.410803 | 1.598139 | 0 |
| 0.411379 | 1.598001 | 0 |
| 0.411957 | 1.597863 | 0 |
| 0.412535 | 1.597726 | 0 |
| 0.413114 | 1.597589 | 0 |
| 0.413694 | 1.597453 | 0 |
| 0.414274 | 1.597317 | 0 |
| 0.414856 | 1.597182 | 0 |
| 0.415438 | 1.597047 | 0 |
| 0.416021 | 1.596913 | 0 |
| 0.416605 | 1.59678 | 0 |
| 0.41719 | 1.596647 | 0 |
| 0.417775 | 1.596514 | 0 |
| 0.418362 | 1.596382 | 0 |
| 0.418949 | 1.596251 | 0 |
| 0.419537 | 1.59612 | 0 |
| 0.420126 | 1.59599 | 0 |
| 0.420715 | 1.59586 | 0 |
| 0.421306 | 1.59573 | 0 |
| 0.421897 | 1.595602 | 0 |
| 0.422489 | 1.595473 | 0 |
| 0.423082 | 1.595345 | 0 |
| 0.423676 | 1.595218 | 0 |
| 0.424271 | 1.595091 | 0 |
| 0.424866 | 1.594965 | 0 |
| 0.425462 | 1.594839 | 0 |
| 0.42606 | 1.594713 | 0 |
| 0.426658 | 1.594588 | 0 |
| 0.427256 | 1.594464 | 0 |
| 0.427856 | 1.59434 | 0 |
| 0.428457 | 1.594216 | 0 |
| 0.429058 | 1.594093 | 0 |
| 0.42966 | 1.593971 | 0 |
| 0.430263 | 1.593848 | 0 |
| 0.430867 | 1.593727 | 0 |
| 0.431472 | 1.593606 | 0 |
| 0.432077 | 1.593485 | 0 |
| 0.432684 | 1.593365 | 0 |
| 0.433291 | 1.593245 | 0 |
| 0.433899 | 1.593125 | 0 |
| 0.434508 | 1.593006 | 0 |
| 0.435118 | 1.592888 | 0 |
| 0.435729 | 1.59277 | 0 |
| 0.43634 | 1.592652 | 0 |
| 0.436953 | 1.592535 | 0 |
| 0.437566 | 1.592419 | 0 |
| 0.43818 | 1.592302 | 0 |
| 0.438795 | 1.592186 | 0 |
| 0.439411 | 1.592071 | 0 |
| 0.440028 | 1.591956 | 0 |
| 0.440645 | 1.591841 | 0 |
| 0.441264 | 1.591727 | 0 |
| 0.441883 | 1.591614 | 0 |
| 0.442503 | 1.5915 | 0 |
| 0.443124 | 1.591387 | 0 |
| 0.443746 | 1.591275 | 0 |
| 0.444369 | 1.591163 | 0 |
| 0.444993 | 1.591051 | 0 |
| 0.445617 | 1.59094 | 0 |
| 0.446243 | 1.590829 | 0 |
| 0.446869 | 1.590719 | 0 |
| 0.447496 | 1.590609 | 0 |
| 0.448124 | 1.590499 | 0 |
| 0.448753 | 1.59039 | 0 |
| 0.449383 | 1.590281 | 0 |
| 0.450014 | 1.590173 | 0 |
| 0.450645 | 1.590065 | 0 |
| 0.451278 | 1.589957 | 0 |
| 0.451911 | 1.58985 | 0 |
| 0.452546 | 1.589743 | 0 |
| 0.453181 | 1.589637 | 0 |
| 0.453817 | 1.589531 | 0 |
| 0.454454 | 1.589425 | 0 |
| 0.455092 | 1.58932 | 0 |
| 0.45573 | 1.589215 | 0 |
| 0.45637 | 1.58911 | 0 |
| 0.457011 | 1.589006 | 0 |
| 0.457652 | 1.588902 | 0 |
| 0.458294 | 1.588799 | 0 |
| 0.458938 | 1.588696 | 0 |
| 0.459582 | 1.588593 | 0 |
| 0.460227 | 1.588491 | 0 |
| 0.460873 | 1.588389 | 0 |
| 0.461519 | 1.588287 | 0 |
| 0.462167 | 1.588186 | 0 |
| 0.462816 | 1.588085 | 0 |
| 0.463465 | 1.587984 | 0 |
| 0.464116 | 1.587884 | 0 |
| 0.464767 | 1.587784 | 0 |
| 0.46542 | 1.587685 | 0 |
| 0.466073 | 1.587586 | 0 |
| 0.466727 | 1.587487 | 0 |
| 0.467382 | 1.587388 | 0 |
| 0.468038 | 1.58729 | 0 |
| 0.468695 | 1.587193 | 0 |
| 0.469353 | 1.587095 | 0 |
| 0.470012 | 1.586998 | 0 |
| 0.470671 | 1.586901 | 0 |
| 0.471332 | 1.586805 | 0 |
| 0.471993 | 1.586709 | 0 |
| 0.472656 | 1.586613 | 0 |
| 0.473319 | 1.586518 | 0 |
| 0.473984 | 1.586423 | 0 |
| 0.474649 | 1.586328 | 0 |
| 0.475315 | 1.586234 | 0 |
| 0.475982 | 1.58614 | 0 |
| 0.47665 | 1.586046 | 0 |
| 0.477319 | 1.585952 | 0 |
| 0.477989 | 1.585859 | 0 |
| 0.47866 | 1.585766 | 0 |
| 0.479332 | 1.585674 | 0 |
| 0.480005 | 1.585582 | 0 |
| 0.480678 | 1.58549 | 0 |
| 0.481353 | 1.585399 | 0 |
| 0.482028 | 1.585307 | 0 |
| 0.482705 | 1.585216 | 0 |
| 0.483382 | 1.585126 | 0 |
| 0.484061 | 1.585036 | 0 |
| 0.48474 | 1.584946 | 0 |
| 0.485421 | 1.584856 | 0 |
| 0.486102 | 1.584767 | 0 |
| 0.486784 | 1.584678 | 0 |
| 0.487467 | 1.584589 | 0 |
| 0.488152 | 1.5845 | 0 |
| 0.488837 | 1.584412 | 0 |
| 0.489523 | 1.584324 | 0 |
| 0.49021 | 1.584237 | 0 |
| 0.490898 | 1.584149 | 0 |
| 0.491587 | 1.584063 | 0 |
| 0.492277 | 1.583976 | 0 |
| 0.492968 | 1.583889 | 0 |
| 0.49366 | 1.583803 | 0 |
| 0.494353 | 1.583718 | 0 |
| 0.495046 | 1.583632 | 0 |
| 0.495741 | 1.583547 | 0 |
| 0.496437 | 1.583462 | 0 |
| 0.497134 | 1.583377 | 0 |
| 0.497832 | 1.583293 | 0 |
| 0.49853 | 1.583209 | 0 |
| 0.49923 | 1.583125 | 0 |
| 0.499931 | 1.583041 | 0 |
| 0.500632 | 1.582958 | 0 |
| 0.501335 | 1.582875 | 0 |
| 0.502039 | 1.582792 | 0 |
| 0.502743 | 1.58271 | 0 |
| 0.503449 | 1.582628 | 0 |
| 0.504155 | 1.582546 | 0 |
| 0.504863 | 1.582464 | 0 |
| 0.505572 | 1.582383 | 0 |
| 0.506281 | 1.582302 | 0 |
| 0.506992 | 1.582221 | 0 |
| 0.507703 | 1.58214 | 0 |
| 0.508416 | 1.58206 | 0 |
| 0.50913 | 1.58198 | 0 |
| 0.509844 | 1.5819 | 0 |
| 0.51056 | 1.581821 | 0 |
| 0.511276 | 1.581741 | 0 |
| 0.511994 | 1.581662 | 0 |
| 0.512712 | 1.581584 | 0 |
| 0.513432 | 1.581505 | 0 |
| 0.514153 | 1.581427 | 0 |
| 0.514874 | 1.581349 | 0 |
| 0.515597 | 1.581271 | 0 |
| 0.516321 | 1.581194 | 0 |
| 0.517045 | 1.581117 | 0 |
| 0.517771 | 1.58104 | 0 |
| 0.518498 | 1.580963 | 0 |
| 0.519225 | 1.580886 | 0 |
| 0.519954 | 1.58081 | 0 |
| 0.520684 | 1.580734 | 0 |
| 0.521415 | 1.580658 | 0 |
| 0.522147 | 1.580583 | 0 |
| 0.522879 | 1.580508 | 0 |
| 0.523613 | 1.580433 | 0 |
| 0.524348 | 1.580358 | 0 |
| 0.525084 | 1.580283 | 0 |
| 0.525821 | 1.580209 | 0 |
| 0.526559 | 1.580135 | 0 |
| 0.527298 | 1.580061 | 0 |
| 0.528038 | 1.579988 | 0 |
| 0.528779 | 1.579914 | 0 |
| 0.529521 | 1.579841 | 0 |
| 0.530265 | 1.579768 | 0 |
| 0.531009 | 1.579696 | 0 |
| 0.531754 | 1.579623 | 0 |
| 0.532501 | 1.579551 | 0 |
| 0.533248 | 1.579479 | 0 |
| 0.533996 | 1.579407 | 0 |
| 0.534746 | 1.579336 | 0 |
| 0.535496 | 1.579265 | 0 |
| 0.536248 | 1.579194 | 0 |
| 0.537001 | 1.579123 | 0 |
| 0.537754 | 1.579052 | 0 |
| 0.538509 | 1.578982 | 0 |
| 0.539265 | 1.578912 | 0 |
| 0.540022 | 1.578842 | 0 |
| 0.54078 | 1.578772 | 0 |
| 0.541539 | 1.578702 | 0 |
| 0.542299 | 1.578633 | 0 |
| 0.54306 | 1.578564 | 0 |
| 0.543822 | 1.578495 | 0 |
| 0.544585 | 1.578426 | 0 |
| 0.54535 | 1.578358 | 0 |
| 0.546115 | 1.57829 | 0 |
| 0.546882 | 1.578222 | 0 |
| 0.547649 | 1.578154 | 0 |
| 0.548418 | 1.578086 | 0 |
| 0.549187 | 1.578019 | 0 |
| 0.549958 | 1.577952 | 0 |
| 0.55073 | 1.577885 | 0 |
| 0.551503 | 1.577818 | 0 |
| 0.552277 | 1.577752 | 0 |
| 0.553052 | 1.577685 | 0 |
| 0.553829 | 1.577619 | 0 |
| 0.554606 | 1.577553 | 0 |
| 0.555384 | 1.577487 | 0 |
| 0.556164 | 1.577422 | 0 |
| 0.556944 | 1.577357 | 0 |
| 0.557726 | 1.577291 | 0 |
| 0.558509 | 1.577227 | 0 |
| 0.559293 | 1.577162 | 0 |
| 0.560078 | 1.577097 | 0 |
| 0.560864 | 1.577033 | 0 |
| 0.561651 | 1.576969 | 0 |
| 0.562439 | 1.576905 | 0 |
| 0.563229 | 1.576841 | 0 |
| 0.564019 | 1.576778 | 0 |
| 0.564811 | 1.576714 | 0 |
| 0.565604 | 1.576651 | 0 |
| 0.566397 | 1.576588 | 0 |
| 0.567192 | 1.576525 | 0 |
| 0.567988 | 1.576463 | 0 |
| 0.568786 | 1.5764 | 0 |
| 0.569584 | 1.576338 | 0 |
| 0.570383 | 1.576276 | 0 |
| 0.571184 | 1.576214 | 0 |
| 0.571986 | 1.576152 | 0 |
| 0.572788 | 1.576091 | 0 |
| 0.573592 | 1.57603 | 0 |
| 0.574397 | 1.575969 | 0 |
| 0.575204 | 1.575908 | 0 |
| 0.576011 | 1.575847 | 0 |
| 0.576819 | 1.575786 | 0 |
| 0.577629 | 1.575726 | 0 |
| 0.57844 | 1.575666 | 0 |
| 0.579251 | 1.575606 | 0 |
| 0.580064 | 1.575546 | 0 |
| 0.580879 | 1.575486 | 0 |
| 0.581694 | 1.575427 | 0 |
| 0.58251 | 1.575367 | 0 |
| 0.583328 | 1.575308 | 0 |
| 0.584147 | 1.575249 | 0 |
| 0.584966 | 1.57519 | 0 |
| 0.585787 | 1.575132 | 0 |
| 0.58661 | 1.575073 | 0 |
| 0.587433 | 1.575015 | 0 |
| 0.588257 | 1.574957 | 0 |
| 0.589083 | 1.574899 | 0 |
| 0.58991 | 1.574841 | 0 |
| 0.590738 | 1.574784 | 0 |
| 0.591567 | 1.574726 | 0 |
| 0.592397 | 1.574669 | 0 |
| 0.593229 | 1.574612 | 0 |
| 0.594061 | 1.574555 | 0 |
| 0.594895 | 1.574498 | 0 |
| 0.59573 | 1.574442 | 0 |
| 0.596566 | 1.574385 | 0 |
| 0.597403 | 1.574329 | 0 |
| 0.598242 | 1.574273 | 0 |
| 0.599082 | 1.574217 | 0 |
| 0.599922 | 1.574161 | 0 |
| 0.600764 | 1.574106 | 0 |
| 0.601608 | 1.57405 | 0 |
| 0.602452 | 1.573995 | 0 |
| 0.603298 | 1.57394 | 0 |
| 0.604144 | 1.573885 | 0 |
| 0.604992 | 1.57383 | 0 |
| 0.605841 | 1.573775 | 0 |
| 0.606692 | 1.573721 | 0 |
| 0.607543 | 1.573667 | 0 |
| 0.608396 | 1.573612 | 0 |
| 0.60925 | 1.573558 | 0 |
| 0.610105 | 1.573504 | 0 |
| 0.610961 | 1.573451 | 0 |
| 0.611819 | 1.573397 | 0 |
| 0.612677 | 1.573344 | 0 |
| 0.613537 | 1.57329 | 0 |
| 0.614398 | 1.573237 | 0 |
| 0.615261 | 1.573184 | 0 |
| 0.616124 | 1.573132 | 0 |
| 0.616989 | 1.573079 | 0 |
| 0.617855 | 1.573026 | 0 |
| 0.618722 | 1.572974 | 0 |
| 0.619591 | 1.572922 | 0 |
| 0.62046 | 1.57287 | 0 |
| 0.621331 | 1.572818 | 0 |
| 0.622203 | 1.572766 | 0 |
| 0.623076 | 1.572714 | 0 |
| 0.623951 | 1.572663 | 0 |
| 0.624827 | 1.572612 | 0 |
| 0.625704 | 1.57256 | 0 |
| 0.626582 | 1.572509 | 0 |
| 0.627461 | 1.572458 | 0 |
| 0.628342 | 1.572408 | 0 |
| 0.629224 | 1.572357 | 0 |
| 0.630107 | 1.572307 | 0 |
| 0.630991 | 1.572256 | 0 |
| 0.631877 | 1.572206 | 0 |
| 0.632764 | 1.572156 | 0 |
| 0.633652 | 1.572106 | 0 |
| 0.634541 | 1.572056 | 0 |
| 0.635432 | 1.572007 | 0 |
| 0.636324 | 1.571957 | 0 |
| 0.637217 | 1.571908 | 0 |
| 0.638111 | 1.571858 | 0 |
| 0.639007 | 1.571809 | 0 |
| 0.639904 | 1.57176 | 0 |
| 0.640802 | 1.571712 | 0 |
| 0.641701 | 1.571663 | 0 |
| 0.642602 | 1.571614 | 0 |
| 0.643504 | 1.571566 | 0 |
| 0.644407 | 1.571518 | 0 |
| 0.645311 | 1.571469 | 0 |
| 0.646217 | 1.571421 | 0 |
| 0.647124 | 1.571373 | 0 |
| 0.648032 | 1.571326 | 0 |
| 0.648942 | 1.571278 | 0 |
| 0.649852 | 1.57123 | 0 |
| 0.650765 | 1.571183 | 0 |
| 0.651678 | 1.571136 | 0 |
| 0.652593 | 1.571089 | 0 |
| 0.653509 | 1.571042 | 0 |
| 0.654426 | 1.570995 | 0 |
| 0.655344 | 1.570948 | 0 |
| 0.656264 | 1.570901 | 0 |
| 0.657185 | 1.570855 | 0 |
| 0.658108 | 1.570808 | 0 |
| 0.659031 | 1.570762 | 0 |
| 0.659956 | 1.570716 | 0 |
| 0.660882 | 1.57067 | 0 |
| 0.66181 | 1.570624 | 0 |
| 0.662739 | 1.570578 | 0 |
| 0.663669 | 1.570533 | 0 |
| 0.664601 | 1.570487 | 0 |
| 0.665533 | 1.570442 | 0 |
| 0.666467 | 1.570396 | 0 |
| 0.667403 | 1.570351 | 0 |
| 0.66834 | 1.570306 | 0 |
| 0.669278 | 1.570261 | 0 |
| 0.670217 | 1.570216 | 0 |
| 0.671158 | 1.570172 | 0 |
| 0.6721 | 1.570127 | 0 |
| 0.673043 | 1.570083 | 0 |
| 0.673988 | 1.570038 | 0 |
| 0.674933 | 1.569994 | 0 |
| 0.675881 | 1.56995 | 0 |
| 0.676829 | 1.569906 | 0 |
| 0.677779 | 1.569862 | 0 |
| 0.678731 | 1.569818 | 0 |
| 0.679683 | 1.569775 | 0 |
| 0.680637 | 1.569731 | 0 |
| 0.681592 | 1.569688 | 0 |
| 0.682549 | 1.569644 | 0 |
| 0.683507 | 1.569601 | 0 |
| 0.684466 | 1.569558 | 0 |
| 0.685427 | 1.569515 | 0 |
| 0.686389 | 1.569472 | 0 |
| 0.687352 | 1.569429 | 0 |
| 0.688317 | 1.569387 | 0 |
| 0.689283 | 1.569344 | 0 |
| 0.690251 | 1.569302 | 0 |
| 0.691219 | 1.569259 | 0 |
| 0.69219 | 1.569217 | 0 |
| 0.693161 | 1.569175 | 0 |
| 0.694134 | 1.569133 | 0 |
| 0.695108 | 1.569091 | 0 |
| 0.696084 | 1.569049 | 0 |
| 0.697061 | 1.569008 | 0 |
| 0.698039 | 1.568966 | 0 |
| 0.699019 | 1.568924 | 0 |
| 0.7 | 1.568883 | 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
- —