Optical constants
Refractive index of APL1 (OHARA)
APL1: n 0.334–2.325 µm
- Data
- formula 3 + tabulated k
- Range
- 0.334–2.325 µm
- Temperature
- 298 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.51728
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.30213
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 69.563
- Chromatic dispersion dn/dλ
- -0.0386186 µm⁻¹
- Group index ng
- 1.53997
- Group velocity dispersion
- 65.0641 fs²/mm
- Dispersion parameter D
- -354.959 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
# APL1 (OHARA): APL1
ohara_apl1 = ls.fetch_refractiveindex("specs", "OHARA-optical", "APL1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_apl1.range_nm) # (334, 2325) nm
eps = ohara_apl1.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_75049757e8b4/lightsmith"
ohara_apl1 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ohara_apl1.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (ohara-apl1/ohara).
# ... load ohara_apl1 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ohara_apl1)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, 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 0.334 to 2.325 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 2.2762403 |
| C2 | -0.0096874647 |
| C3 | 2.0 |
| C4 | 0.0092330378 |
| C5 | -2.0 |
| C6 | 0.00038940853 |
| C7 | -4.0 |
| C8 | -3.8018733e-05 |
| C9 | -6.0 |
| C10 | 2.0693225e-06 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 298 K
Properties
- nd
- 1.517277
- Vd
- 69.563209
- glass code
- 517696
- glass status
- preferred
References
See also OHARA glass data sheets
Cite
OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp); See also OHARA 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 412 wavelengths, the same grid as the API and the library| λ (µm) | n | k |
|---|---|---|
| 0.334 | 1.541166 | 0 |
| 0.335628 | 1.540797 | 0 |
| 0.337264 | 1.540433 | 0 |
| 0.338908 | 1.540075 | 0 |
| 0.340561 | 1.539721 | 0 |
| 0.342221 | 1.539372 | 0 |
| 0.343889 | 1.539027 | 0 |
| 0.345565 | 1.538688 | 0 |
| 0.34725 | 1.538352 | 0 |
| 0.348943 | 1.538021 | 0 |
| 0.35 | 1.537817 | 0 |
| 0.350644 | 1.537694 | 0 |
| 0.352353 | 1.537372 | 0 |
| 0.354071 | 1.537053 | 0 |
| 0.355797 | 1.536739 | 0 |
| 0.357531 | 1.536428 | 0 |
| 0.359274 | 1.536121 | 0 |
| 0.361026 | 1.535818 | 0 |
| 0.362786 | 1.535519 | 0 |
| 0.364554 | 1.535223 | 0 |
| 0.365 | 1.53515 | 0 |
| 0.366331 | 1.534931 | 0 |
| 0.368117 | 1.534642 | 0 |
| 0.369912 | 1.534357 | 0 |
| 0.37 | 1.534343 | 0 |
| 0.371715 | 1.534075 | 0 |
| 0.373527 | 1.533796 | 0 |
| 0.375348 | 1.533521 | 0 |
| 0.377177 | 1.533249 | 0 |
| 0.379016 | 1.53298 | 0 |
| 0.38 | 1.532837 | 0 |
| 0.380864 | 1.532713 | 0 |
| 0.38272 | 1.53245 | 0 |
| 0.384586 | 1.53219 | 0 |
| 0.386461 | 1.531933 | 0 |
| 0.388345 | 1.531679 | 0 |
| 0.39 | 1.531458 | 0 |
| 0.390238 | 1.531427 | 0 |
| 0.39214 | 1.531178 | 0 |
| 0.394052 | 1.530932 | 0 |
| 0.395973 | 1.530689 | 0 |
| 0.397903 | 1.530448 | 0 |
| 0.399843 | 1.53021 | 0 |
| 0.4 | 1.530191 | 0 |
| 0.401792 | 1.529974 | 0 |
| 0.403751 | 1.529741 | 0 |
| 0.405719 | 1.529511 | 0 |
| 0.407697 | 1.529283 | 0 |
| 0.409684 | 1.529057 | 0 |
| 0.411681 | 1.528834 | 0 |
| 0.413688 | 1.528613 | 0 |
| 0.415705 | 1.528394 | 0 |
| 0.417731 | 1.528178 | 0 |
| 0.419768 | 1.527963 | 0 |
| 0.42 | 1.527939 | 0 |
| 0.421814 | 1.527751 | 0 |
| 0.42387 | 1.527542 | 0 |
| 0.425937 | 1.527334 | 0 |
| 0.428013 | 1.527129 | 0 |
| 0.4301 | 1.526925 | 0 |
| 0.432196 | 1.526724 | 0 |
| 0.434303 | 1.526525 | 0 |
| 0.43642 | 1.526328 | 0 |
| 0.438548 | 1.526133 | 0 |
| 0.440686 | 1.525939 | 0 |
| 0.442834 | 1.525748 | 0 |
| 0.444993 | 1.525559 | 0 |
| 0.447162 | 1.525371 | 0 |
| 0.449342 | 1.525186 | 0 |
| 0.451532 | 1.525002 | 0 |
| 0.453733 | 1.52482 | 0 |
| 0.455945 | 1.52464 | 0 |
| 0.458168 | 1.524462 | 0 |
| 0.46 | 1.524317 | 0 |
| 0.460401 | 1.524285 | 0 |
| 0.462646 | 1.52411 | 0 |
| 0.464901 | 1.523937 | 0 |
| 0.467167 | 1.523766 | 0 |
| 0.469445 | 1.523596 | 0 |
| 0.471733 | 1.523428 | 0 |
| 0.474033 | 1.523262 | 0 |
| 0.476344 | 1.523097 | 0 |
| 0.478666 | 1.522933 | 0 |
| 0.480999 | 1.522772 | 0 |
| 0.483344 | 1.522612 | 0 |
| 0.4857 | 1.522453 | 0 |
| 0.488068 | 1.522296 | 0 |
| 0.490447 | 1.52214 | 0 |
| 0.492838 | 1.521986 | 0 |
| 0.49524 | 1.521834 | 0 |
| 0.497655 | 1.521683 | 0 |
| 0.5 | 1.521538 | 0 |
| 0.500081 | 1.521533 | 0 |
| 0.502518 | 1.521385 | 0 |
| 0.504968 | 1.521238 | 0 |
| 0.50743 | 1.521092 | 0 |
| 0.509903 | 1.520948 | 0 |
| 0.512389 | 1.520805 | 0 |
| 0.514887 | 1.520664 | 0 |
| 0.517397 | 1.520524 | 0 |
| 0.519919 | 1.520385 | 0 |
| 0.522454 | 1.520247 | 0 |
| 0.525001 | 1.520111 | 0 |
| 0.52756 | 1.519976 | 0 |
| 0.530132 | 1.519842 | 0 |
| 0.532716 | 1.51971 | 0 |
| 0.535313 | 1.519578 | 0 |
| 0.537922 | 1.519448 | 0 |
| 0.540545 | 1.519319 | 0 |
| 0.54318 | 1.519191 | 0 |
| 0.545828 | 1.519065 | 0 |
| 0.548488 | 1.518939 | 0 |
| 0.551162 | 1.518815 | 0 |
| 0.553849 | 1.518691 | 0 |
| 0.556549 | 1.518569 | 0 |
| 0.559262 | 1.518448 | 0 |
| 0.561988 | 1.518328 | 0 |
| 0.564728 | 1.518209 | 0 |
| 0.567481 | 1.518091 | 0 |
| 0.570247 | 1.517974 | 0 |
| 0.573027 | 1.517858 | 0 |
| 0.575821 | 1.517743 | 0 |
| 0.578628 | 1.51763 | 0 |
| 0.581448 | 1.517517 | 0 |
| 0.584283 | 1.517405 | 0 |
| 0.587131 | 1.517294 | 0 |
| 0.589993 | 1.517184 | 0 |
| 0.592869 | 1.517075 | 0 |
| 0.59576 | 1.516966 | 0 |
| 0.598664 | 1.516859 | 0 |
| 0.601582 | 1.516753 | 0 |
| 0.604515 | 1.516647 | 0 |
| 0.607462 | 1.516543 | 0 |
| 0.610423 | 1.516439 | 0 |
| 0.613399 | 1.516336 | 0 |
| 0.616389 | 1.516234 | 0 |
| 0.619394 | 1.516133 | 0 |
| 0.622413 | 1.516032 | 0 |
| 0.625447 | 1.515933 | 0 |
| 0.628496 | 1.515834 | 0 |
| 0.63156 | 1.515736 | 0 |
| 0.634639 | 1.515638 | 0 |
| 0.637733 | 1.515542 | 0 |
| 0.640841 | 1.515446 | 0 |
| 0.643965 | 1.515351 | 0 |
| 0.647105 | 1.515257 | 0 |
| 0.650259 | 1.515163 | 0 |
| 0.653429 | 1.51507 | 0 |
| 0.656614 | 1.514978 | 0 |
| 0.659815 | 1.514887 | 0 |
| 0.66 | 1.514882 | 0 |
| 0.663032 | 1.514796 | 0 |
| 0.666264 | 1.514706 | 0 |
| 0.669512 | 1.514617 | 0 |
| 0.672776 | 1.514528 | 0 |
| 0.676055 | 1.51444 | 0 |
| 0.679351 | 1.514352 | 0 |
| 0.682663 | 1.514265 | 0 |
| 0.685991 | 1.514179 | 0 |
| 0.689335 | 1.514093 | 0 |
| 0.692695 | 1.514008 | 0 |
| 0.696072 | 1.513924 | 0 |
| 0.699465 | 1.51384 | 0 |
| 0.702875 | 1.513756 | 0 |
| 0.706301 | 1.513674 | 0 |
| 0.709744 | 1.513591 | 0 |
| 0.713204 | 1.51351 | 0 |
| 0.716681 | 1.513428 | 0 |
| 0.720175 | 1.513348 | 0 |
| 0.723686 | 1.513268 | 0 |
| 0.727213 | 1.513188 | 0 |
| 0.730758 | 1.513109 | 0 |
| 0.734321 | 1.51303 | 0 |
| 0.7379 | 1.512952 | 0 |
| 0.741498 | 1.512874 | 0 |
| 0.745112 | 1.512797 | 0 |
| 0.748745 | 1.51272 | 0 |
| 0.752395 | 1.512644 | 0 |
| 0.756062 | 1.512568 | 0 |
| 0.759748 | 1.512493 | 0 |
| 0.763452 | 1.512418 | 0 |
| 0.767173 | 1.512343 | 0 |
| 0.770913 | 1.512269 | 0 |
| 0.774671 | 1.512195 | 0 |
| 0.778448 | 1.512121 | 0 |
| 0.782243 | 1.512048 | 0 |
| 0.786056 | 1.511976 | 0 |
| 0.789888 | 1.511903 | 0 |
| 0.793738 | 1.511831 | 0 |
| 0.797608 | 1.51176 | 0 |
| 0.801496 | 1.511689 | 0 |
| 0.805403 | 1.511618 | 0 |
| 0.809329 | 1.511547 | 0 |
| 0.813275 | 1.511477 | 0 |
| 0.817239 | 1.511407 | 0 |
| 0.821223 | 1.511337 | 0 |
| 0.825226 | 1.511268 | 0 |
| 0.829249 | 1.511199 | 0 |
| 0.833292 | 1.51113 | 0 |
| 0.837354 | 1.511061 | 0 |
| 0.841436 | 1.510993 | 0 |
| 0.845538 | 1.510925 | 0 |
| 0.84966 | 1.510857 | 0 |
| 0.853801 | 1.51079 | 0 |
| 0.857964 | 1.510723 | 0 |
| 0.862146 | 1.510656 | 0 |
| 0.866349 | 1.510589 | 0 |
| 0.870572 | 1.510522 | 0 |
| 0.874816 | 1.510456 | 0 |
| 0.879081 | 1.51039 | 0 |
| 0.883366 | 1.510324 | 0 |
| 0.887672 | 1.510258 | 0 |
| 0.892 | 1.510192 | 0 |
| 0.896348 | 1.510127 | 0 |
| 0.900717 | 1.510062 | 0 |
| 0.905108 | 1.509997 | 0 |
| 0.909521 | 1.509932 | 0 |
| 0.913954 | 1.509867 | 0 |
| 0.91841 | 1.509803 | 0 |
| 0.922887 | 1.509738 | 0 |
| 0.927386 | 1.509674 | 0 |
| 0.931907 | 1.509609 | 0 |
| 0.936449 | 1.509545 | 0 |
| 0.941015 | 1.509481 | 0 |
| 0.945602 | 1.509417 | 0 |
| 0.950211 | 1.509354 | 0 |
| 0.954844 | 1.50929 | 0 |
| 0.959498 | 1.509226 | 0 |
| 0.964176 | 1.509163 | 0 |
| 0.968876 | 1.509099 | 0 |
| 0.973599 | 1.509036 | 0 |
| 0.978345 | 1.508973 | 0 |
| 0.983114 | 1.508909 | 0 |
| 0.987907 | 1.508846 | 0 |
| 0.992723 | 1.508783 | 0 |
| 0.997562 | 1.50872 | 0 |
| 1.00243 | 1.508656 | 0 |
| 1.00731 | 1.508593 | 0 |
| 1.01222 | 1.50853 | 0 |
| 1.01716 | 1.508467 | 0 |
| 1.02212 | 1.508404 | 0 |
| 1.0271 | 1.508341 | 0 |
| 1.0321 | 1.508278 | 0 |
| 1.03714 | 1.508215 | 0 |
| 1.04219 | 1.508151 | 0 |
| 1.04727 | 1.508088 | 0 |
| 1.05238 | 1.508025 | 0 |
| 1.05751 | 1.507962 | 0 |
| 1.06 | 1.507931 | 0 |
| 1.06266 | 1.507898 | 0 |
| 1.06784 | 1.507835 | 0 |
| 1.07305 | 1.507771 | 0 |
| 1.07828 | 1.507708 | 0 |
| 1.08354 | 1.507644 | 0 |
| 1.08882 | 1.507581 | 0 |
| 1.09413 | 1.507517 | 0 |
| 1.09946 | 1.507453 | 0 |
| 1.10482 | 1.507389 | 0 |
| 1.11021 | 1.507325 | 0 |
| 1.11562 | 1.507261 | 0 |
| 1.12106 | 1.507196 | 0 |
| 1.12652 | 1.507132 | 0 |
| 1.13201 | 1.507067 | 0 |
| 1.13753 | 1.507002 | 0 |
| 1.14308 | 1.506937 | 0 |
| 1.14865 | 1.506872 | 0 |
| 1.15425 | 1.506807 | 0 |
| 1.15987 | 1.506742 | 0 |
| 1.16553 | 1.506676 | 0 |
| 1.17121 | 1.506611 | 0 |
| 1.17692 | 1.506545 | 0 |
| 1.18266 | 1.506479 | 0 |
| 1.18842 | 1.506412 | 0 |
| 1.19422 | 1.506346 | 0 |
| 1.20004 | 1.506279 | 0 |
| 1.20589 | 1.506212 | 0 |
| 1.21177 | 1.506145 | 0 |
| 1.21767 | 1.506077 | 0 |
| 1.22361 | 1.50601 | 0 |
| 1.22957 | 1.505942 | 0 |
| 1.23557 | 1.505874 | 0 |
| 1.24159 | 1.505805 | 0 |
| 1.24764 | 1.505737 | 0 |
| 1.25373 | 1.505668 | 0 |
| 1.25984 | 1.505599 | 0 |
| 1.26598 | 1.505529 | 0 |
| 1.27215 | 1.505459 | 0 |
| 1.27835 | 1.505389 | 0 |
| 1.28458 | 1.505319 | 0 |
| 1.29085 | 1.505248 | 0 |
| 1.29714 | 1.505177 | 0 |
| 1.30346 | 1.505106 | 0 |
| 1.30982 | 1.505034 | 0 |
| 1.3162 | 1.504962 | 0 |
| 1.32262 | 1.504889 | 0 |
| 1.32907 | 1.504817 | 0 |
| 1.33554 | 1.504744 | 0 |
| 1.34205 | 1.50467 | 0 |
| 1.3486 | 1.504596 | 0 |
| 1.35517 | 1.504522 | 0 |
| 1.36178 | 1.504447 | 0 |
| 1.36842 | 1.504372 | 0 |
| 1.37509 | 1.504297 | 0 |
| 1.38179 | 1.504221 | 0 |
| 1.38853 | 1.504145 | 0 |
| 1.39529 | 1.504068 | 0 |
| 1.4021 | 1.503991 | 0 |
| 1.40893 | 1.503913 | 0 |
| 1.4158 | 1.503835 | 0 |
| 1.4227 | 1.503757 | 0 |
| 1.42964 | 1.503678 | 0 |
| 1.43661 | 1.503598 | 0 |
| 1.44361 | 1.503518 | 0 |
| 1.45065 | 1.503438 | 0 |
| 1.45772 | 1.503357 | 0 |
| 1.46482 | 1.503276 | 0 |
| 1.47197 | 1.503194 | 0 |
| 1.47914 | 1.503111 | 0 |
| 1.48635 | 1.503028 | 0 |
| 1.4936 | 1.502945 | 0 |
| 1.50088 | 1.502861 | 0 |
| 1.5082 | 1.502776 | 0 |
| 1.51555 | 1.502691 | 0 |
| 1.52294 | 1.502605 | 0 |
| 1.529 | 1.502535 | 0 |
| 1.53036 | 1.502519 | 0 |
| 1.53782 | 1.502432 | 0 |
| 1.54532 | 1.502344 | 0 |
| 1.55285 | 1.502256 | 0 |
| 1.56042 | 1.502168 | 0 |
| 1.56803 | 1.502078 | 0 |
| 1.57567 | 1.501988 | 0 |
| 1.58335 | 1.501898 | 0 |
| 1.59107 | 1.501806 | 0 |
| 1.59883 | 1.501714 | 0 |
| 1.60662 | 1.501622 | 0 |
| 1.61445 | 1.501529 | 0 |
| 1.62232 | 1.501435 | 0 |
| 1.63023 | 1.50134 | 0 |
| 1.63818 | 1.501245 | 0 |
| 1.64616 | 1.501149 | 0 |
| 1.65419 | 1.501052 | 0 |
| 1.66225 | 1.500954 | 0 |
| 1.67036 | 1.500856 | 0 |
| 1.6785 | 1.500757 | 0 |
| 1.68668 | 1.500657 | 0 |
| 1.6949 | 1.500557 | 0 |
| 1.70317 | 1.500456 | 0 |
| 1.71147 | 1.500353 | 0 |
| 1.71981 | 1.500251 | 0 |
| 1.72819 | 1.500147 | 0 |
| 1.73662 | 1.500042 | 0 |
| 1.74509 | 1.499937 | 0 |
| 1.75359 | 1.499831 | 0 |
| 1.76214 | 1.499724 | 0 |
| 1.77073 | 1.499616 | 0 |
| 1.77936 | 1.499507 | 0 |
| 1.78804 | 1.499398 | 0 |
| 1.79675 | 1.499287 | 0 |
| 1.80551 | 1.499176 | 0 |
| 1.81431 | 1.499064 | 0 |
| 1.82316 | 1.49895 | 0 |
| 1.83205 | 1.498836 | 0 |
| 1.84098 | 1.498721 | 0 |
| 1.84995 | 1.498605 | 0 |
| 1.85897 | 1.498488 | 0 |
| 1.86803 | 1.49837 | 0 |
| 1.87714 | 1.498251 | 0 |
| 1.88629 | 1.498131 | 0 |
| 1.89548 | 1.49801 | 0 |
| 1.90472 | 1.497888 | 0 |
| 1.91401 | 1.497765 | 0 |
| 1.92334 | 1.497641 | 0 |
| 1.93272 | 1.497516 | 0 |
| 1.94214 | 1.497389 | 0 |
| 1.95161 | 1.497262 | 0 |
| 1.96112 | 1.497134 | 0 |
| 1.97068 | 1.497004 | 0 |
| 1.98029 | 1.496873 | 0 |
| 1.98994 | 1.496742 | 0 |
| 1.99964 | 1.496609 | 0 |
| 2.00939 | 1.496474 | 0 |
| 2.01918 | 1.496339 | 0 |
| 2.02903 | 1.496203 | 0 |
| 2.03892 | 1.496065 | 0 |
| 2.04886 | 1.495926 | 0 |
| 2.05885 | 1.495786 | 0 |
| 2.06888 | 1.495645 | 0 |
| 2.07897 | 1.495502 | 0 |
| 2.0891 | 1.495358 | 0 |
| 2.09929 | 1.495213 | 0 |
| 2.10952 | 1.495067 | 0 |
| 2.1198 | 1.494919 | 0 |
| 2.13014 | 1.49477 | 0 |
| 2.14052 | 1.494619 | 0 |
| 2.15096 | 1.494468 | 0 |
| 2.16144 | 1.494315 | 0 |
| 2.17198 | 1.49416 | 0 |
| 2.18257 | 1.494004 | 0 |
| 2.19321 | 1.493847 | 0 |
| 2.2039 | 1.493688 | 0 |
| 2.21464 | 1.493528 | 0 |
| 2.22544 | 1.493366 | 0 |
| 2.23629 | 1.493203 | 0 |
| 2.24719 | 1.493038 | 0 |
| 2.25814 | 1.492872 | 0 |
| 2.26915 | 1.492705 | 0 |
| 2.28021 | 1.492535 | 0 |
| 2.29133 | 1.492365 | 0 |
| 2.3025 | 1.492192 | 0 |
| 2.31372 | 1.492018 | 0 |
| 2.325 | 1.491843 | 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
- —