Optical constants
Refractive index of BSM81 (OHARA)
BSM81: 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
- 1.64
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.68959
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 60.092
- Chromatic dispersion dn/dλ
- -0.055203 µm⁻¹
- Group index ng
- 1.67243
- Group velocity dispersion
- 93.9743 fs²/mm
- Dispersion parameter D
- -512.68 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
# BSM81 (OHARA): BSM81
ohara_bsm81 = ls.fetch_refractiveindex("specs", "OHARA-optical", "BSM81", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_bsm81.range_nm) # (334, 2325) nm
eps = ohara_bsm81.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_bd608244a36c/lightsmith"
ohara_bsm81 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ohara_bsm81.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (ohara-bsm81/ohara).
# ... load ohara_bsm81 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ohara_bsm81)],
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 | 2.6493149 |
| C2 | -0.014491012 |
| C3 | 2.0 |
| C4 | 0.014390568 |
| C5 | -2.0 |
| C6 | 0.0005294553 |
| C7 | -4.0 |
| C8 | -4.134593e-05 |
| C9 | -6.0 |
| C10 | 2.2951175e-06 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 298 K
Properties
- nd
- 1.639999
- Vd
- 60.091709
- glass code
- 640601
- 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 | 1.674598 | 0 |
| 0.335628 | 1.674063 | 0 |
| 0.337264 | 1.673534 | 0 |
| 0.338908 | 1.673013 | 0 |
| 0.340561 | 1.672499 | 0 |
| 0.342221 | 1.671991 | 0 |
| 0.343889 | 1.671491 | 0 |
| 0.345565 | 1.670996 | 0 |
| 0.34725 | 1.670508 | 0 |
| 0.348943 | 1.670026 | 0 |
| 0.35 | 1.669729 | 0 |
| 0.350644 | 1.66955 | 0 |
| 0.352353 | 1.669081 | 0 |
| 0.354071 | 1.668617 | 0 |
| 0.355797 | 1.668158 | 0 |
| 0.357531 | 1.667706 | 0 |
| 0.359274 | 1.667259 | 0 |
| 0.361026 | 1.666817 | 0 |
| 0.362786 | 1.666381 | 0 |
| 0.364554 | 1.66595 | 0 |
| 0.365 | 1.665843 | 0 |
| 0.366331 | 1.665524 | 0 |
| 0.368117 | 1.665104 | 0 |
| 0.369912 | 1.664688 | 0 |
| 0.37 | 1.664668 | 0 |
| 0.371715 | 1.664277 | 0 |
| 0.373527 | 1.663871 | 0 |
| 0.375348 | 1.66347 | 0 |
| 0.377177 | 1.663073 | 0 |
| 0.379016 | 1.662681 | 0 |
| 0.38 | 1.662474 | 0 |
| 0.380864 | 1.662293 | 0 |
| 0.38272 | 1.66191 | 0 |
| 0.384586 | 1.661531 | 0 |
| 0.386461 | 1.661157 | 0 |
| 0.388345 | 1.660786 | 0 |
| 0.39 | 1.660466 | 0 |
| 0.390238 | 1.66042 | 0 |
| 0.39214 | 1.660058 | 0 |
| 0.394052 | 1.6597 | 0 |
| 0.395973 | 1.659346 | 0 |
| 0.397903 | 1.658996 | 0 |
| 0.399843 | 1.65865 | 0 |
| 0.4 | 1.658622 | 0 |
| 0.401792 | 1.658307 | 0 |
| 0.403751 | 1.657969 | 0 |
| 0.405719 | 1.657634 | 0 |
| 0.407697 | 1.657302 | 0 |
| 0.409684 | 1.656974 | 0 |
| 0.411681 | 1.65665 | 0 |
| 0.413688 | 1.656329 | 0 |
| 0.415705 | 1.656012 | 0 |
| 0.417731 | 1.655698 | 0 |
| 0.419768 | 1.655387 | 0 |
| 0.42 | 1.655352 | 0 |
| 0.421814 | 1.65508 | 0 |
| 0.42387 | 1.654776 | 0 |
| 0.425937 | 1.654475 | 0 |
| 0.428013 | 1.654177 | 0 |
| 0.4301 | 1.653883 | 0 |
| 0.432196 | 1.653591 | 0 |
| 0.434303 | 1.653303 | 0 |
| 0.43642 | 1.653017 | 0 |
| 0.438548 | 1.652735 | 0 |
| 0.440686 | 1.652455 | 0 |
| 0.442834 | 1.652178 | 0 |
| 0.444993 | 1.651905 | 0 |
| 0.447162 | 1.651634 | 0 |
| 0.449342 | 1.651365 | 0 |
| 0.451532 | 1.6511 | 0 |
| 0.453733 | 1.650837 | 0 |
| 0.455945 | 1.650577 | 0 |
| 0.458168 | 1.650319 | 0 |
| 0.46 | 1.65011 | 0 |
| 0.460401 | 1.650064 | 0 |
| 0.462646 | 1.649812 | 0 |
| 0.464901 | 1.649562 | 0 |
| 0.467167 | 1.649315 | 0 |
| 0.469445 | 1.64907 | 0 |
| 0.471733 | 1.648828 | 0 |
| 0.474033 | 1.648588 | 0 |
| 0.476344 | 1.64835 | 0 |
| 0.478666 | 1.648115 | 0 |
| 0.480999 | 1.647882 | 0 |
| 0.483344 | 1.647652 | 0 |
| 0.4857 | 1.647423 | 0 |
| 0.488068 | 1.647197 | 0 |
| 0.490447 | 1.646973 | 0 |
| 0.492838 | 1.646752 | 0 |
| 0.49524 | 1.646532 | 0 |
| 0.497655 | 1.646315 | 0 |
| 0.5 | 1.646107 | 0 |
| 0.500081 | 1.6461 | 0 |
| 0.502518 | 1.645886 | 0 |
| 0.504968 | 1.645675 | 0 |
| 0.50743 | 1.645466 | 0 |
| 0.509903 | 1.645259 | 0 |
| 0.512389 | 1.645054 | 0 |
| 0.514887 | 1.644851 | 0 |
| 0.517397 | 1.644649 | 0 |
| 0.519919 | 1.64445 | 0 |
| 0.522454 | 1.644253 | 0 |
| 0.525001 | 1.644057 | 0 |
| 0.52756 | 1.643863 | 0 |
| 0.530132 | 1.643671 | 0 |
| 0.532716 | 1.643481 | 0 |
| 0.535313 | 1.643293 | 0 |
| 0.537922 | 1.643106 | 0 |
| 0.540545 | 1.642921 | 0 |
| 0.54318 | 1.642738 | 0 |
| 0.545828 | 1.642557 | 0 |
| 0.548488 | 1.642377 | 0 |
| 0.551162 | 1.642199 | 0 |
| 0.553849 | 1.642022 | 0 |
| 0.556549 | 1.641847 | 0 |
| 0.559262 | 1.641674 | 0 |
| 0.561988 | 1.641502 | 0 |
| 0.564728 | 1.641332 | 0 |
| 0.567481 | 1.641163 | 0 |
| 0.570247 | 1.640996 | 0 |
| 0.573027 | 1.64083 | 0 |
| 0.575821 | 1.640665 | 0 |
| 0.578628 | 1.640503 | 0 |
| 0.581448 | 1.640341 | 0 |
| 0.584283 | 1.640181 | 0 |
| 0.587131 | 1.640022 | 0 |
| 0.589993 | 1.639865 | 0 |
| 0.592869 | 1.639709 | 0 |
| 0.59576 | 1.639555 | 0 |
| 0.598664 | 1.639401 | 0 |
| 0.601582 | 1.639249 | 0 |
| 0.604515 | 1.639099 | 0 |
| 0.607462 | 1.638949 | 0 |
| 0.610423 | 1.638801 | 0 |
| 0.613399 | 1.638654 | 0 |
| 0.616389 | 1.638508 | 0 |
| 0.619394 | 1.638364 | 0 |
| 0.622413 | 1.638221 | 0 |
| 0.625447 | 1.638078 | 0 |
| 0.628496 | 1.637937 | 0 |
| 0.63156 | 1.637797 | 0 |
| 0.634639 | 1.637659 | 0 |
| 0.637733 | 1.637521 | 0 |
| 0.640841 | 1.637384 | 0 |
| 0.643965 | 1.637249 | 0 |
| 0.647105 | 1.637114 | 0 |
| 0.650259 | 1.636981 | 0 |
| 0.653429 | 1.636849 | 0 |
| 0.656614 | 1.636717 | 0 |
| 0.659815 | 1.636587 | 0 |
| 0.66 | 1.63658 | 0 |
| 0.663032 | 1.636458 | 0 |
| 0.666264 | 1.636329 | 0 |
| 0.669512 | 1.636202 | 0 |
| 0.672776 | 1.636075 | 0 |
| 0.676055 | 1.63595 | 0 |
| 0.679351 | 1.635825 | 0 |
| 0.682663 | 1.635701 | 0 |
| 0.685991 | 1.635578 | 0 |
| 0.689335 | 1.635456 | 0 |
| 0.692695 | 1.635335 | 0 |
| 0.696072 | 1.635215 | 0 |
| 0.699465 | 1.635096 | 0 |
| 0.702875 | 1.634977 | 0 |
| 0.706301 | 1.634859 | 0 |
| 0.709744 | 1.634742 | 0 |
| 0.713204 | 1.634626 | 0 |
| 0.716681 | 1.63451 | 0 |
| 0.720175 | 1.634396 | 0 |
| 0.723686 | 1.634282 | 0 |
| 0.727213 | 1.634168 | 0 |
| 0.730758 | 1.634056 | 0 |
| 0.734321 | 1.633944 | 0 |
| 0.7379 | 1.633833 | 0 |
| 0.741498 | 1.633722 | 0 |
| 0.745112 | 1.633613 | 0 |
| 0.748745 | 1.633503 | 0 |
| 0.752395 | 1.633395 | 0 |
| 0.756062 | 1.633287 | 0 |
| 0.759748 | 1.63318 | 0 |
| 0.763452 | 1.633073 | 0 |
| 0.767173 | 1.632967 | 0 |
| 0.770913 | 1.632862 | 0 |
| 0.774671 | 1.632757 | 0 |
| 0.778448 | 1.632653 | 0 |
| 0.782243 | 1.632549 | 0 |
| 0.786056 | 1.632446 | 0 |
| 0.789888 | 1.632343 | 0 |
| 0.793738 | 1.632241 | 0 |
| 0.797608 | 1.632139 | 0 |
| 0.801496 | 1.632038 | 0 |
| 0.805403 | 1.631937 | 0 |
| 0.809329 | 1.631837 | 0 |
| 0.813275 | 1.631737 | 0 |
| 0.817239 | 1.631638 | 0 |
| 0.821223 | 1.631539 | 0 |
| 0.825226 | 1.631441 | 0 |
| 0.829249 | 1.631343 | 0 |
| 0.833292 | 1.631245 | 0 |
| 0.837354 | 1.631148 | 0 |
| 0.841436 | 1.631052 | 0 |
| 0.845538 | 1.630955 | 0 |
| 0.84966 | 1.630859 | 0 |
| 0.853801 | 1.630764 | 0 |
| 0.857964 | 1.630668 | 0 |
| 0.862146 | 1.630573 | 0 |
| 0.866349 | 1.630479 | 0 |
| 0.870572 | 1.630384 | 0 |
| 0.874816 | 1.63029 | 0 |
| 0.879081 | 1.630197 | 0 |
| 0.883366 | 1.630103 | 0 |
| 0.887672 | 1.63001 | 0 |
| 0.892 | 1.629918 | 0 |
| 0.896348 | 1.629825 | 0 |
| 0.900717 | 1.629733 | 0 |
| 0.905108 | 1.629641 | 0 |
| 0.909521 | 1.629549 | 0 |
| 0.913954 | 1.629457 | 0 |
| 0.91841 | 1.629366 | 0 |
| 0.922887 | 1.629275 | 0 |
| 0.927386 | 1.629184 | 0 |
| 0.931907 | 1.629093 | 0 |
| 0.936449 | 1.629002 | 0 |
| 0.941015 | 1.628912 | 0 |
| 0.945602 | 1.628821 | 0 |
| 0.950211 | 1.628731 | 0 |
| 0.954844 | 1.628641 | 0 |
| 0.959498 | 1.628551 | 0 |
| 0.964176 | 1.628462 | 0 |
| 0.968876 | 1.628372 | 0 |
| 0.973599 | 1.628283 | 0 |
| 0.978345 | 1.628193 | 0 |
| 0.983114 | 1.628104 | 0 |
| 0.987907 | 1.628014 | 0 |
| 0.992723 | 1.627925 | 0 |
| 0.997562 | 1.627836 | 0 |
| 1.00243 | 1.627747 | 0 |
| 1.00731 | 1.627658 | 0 |
| 1.01222 | 1.627569 | 0 |
| 1.01716 | 1.62748 | 0 |
| 1.02212 | 1.627391 | 0 |
| 1.0271 | 1.627302 | 0 |
| 1.0321 | 1.627213 | 0 |
| 1.03714 | 1.627124 | 0 |
| 1.04219 | 1.627035 | 0 |
| 1.04727 | 1.626946 | 0 |
| 1.05238 | 1.626857 | 0 |
| 1.05751 | 1.626768 | 0 |
| 1.06 | 1.626724 | 0 |
| 1.06266 | 1.626678 | 0 |
| 1.06784 | 1.626589 | 0 |
| 1.07305 | 1.6265 | 0 |
| 1.07828 | 1.62641 | 0 |
| 1.08354 | 1.626321 | 0 |
| 1.08882 | 1.626231 | 0 |
| 1.09413 | 1.626141 | 0 |
| 1.09946 | 1.626051 | 0 |
| 1.10482 | 1.625961 | 0 |
| 1.11021 | 1.625871 | 0 |
| 1.11562 | 1.625781 | 0 |
| 1.12106 | 1.62569 | 0 |
| 1.12652 | 1.6256 | 0 |
| 1.13201 | 1.625509 | 0 |
| 1.13753 | 1.625418 | 0 |
| 1.14308 | 1.625327 | 0 |
| 1.14865 | 1.625235 | 0 |
| 1.15425 | 1.625144 | 0 |
| 1.15987 | 1.625052 | 0 |
| 1.16553 | 1.62496 | 0 |
| 1.17121 | 1.624867 | 0 |
| 1.17692 | 1.624775 | 0 |
| 1.18266 | 1.624682 | 0 |
| 1.18842 | 1.624589 | 0 |
| 1.19422 | 1.624495 | 0 |
| 1.20004 | 1.624402 | 0 |
| 1.20589 | 1.624308 | 0 |
| 1.21177 | 1.624214 | 0 |
| 1.21767 | 1.624119 | 0 |
| 1.22361 | 1.624024 | 0 |
| 1.22957 | 1.623929 | 0 |
| 1.23557 | 1.623833 | 0 |
| 1.24159 | 1.623737 | 0 |
| 1.24764 | 1.623641 | 0 |
| 1.25373 | 1.623545 | 0 |
| 1.25984 | 1.623447 | 0 |
| 1.26598 | 1.62335 | 0 |
| 1.27215 | 1.623252 | 0 |
| 1.27835 | 1.623154 | 0 |
| 1.28458 | 1.623055 | 0 |
| 1.29085 | 1.622956 | 0 |
| 1.29714 | 1.622857 | 0 |
| 1.30346 | 1.622757 | 0 |
| 1.30982 | 1.622656 | 0 |
| 1.3162 | 1.622556 | 0 |
| 1.32262 | 1.622454 | 0 |
| 1.32907 | 1.622352 | 0 |
| 1.33554 | 1.62225 | 0 |
| 1.34205 | 1.622147 | 0 |
| 1.3486 | 1.622044 | 0 |
| 1.35517 | 1.62194 | 0 |
| 1.36178 | 1.621835 | 0 |
| 1.36842 | 1.62173 | 0 |
| 1.37509 | 1.621625 | 0 |
| 1.38179 | 1.621519 | 0 |
| 1.38853 | 1.621412 | 0 |
| 1.39529 | 1.621305 | 0 |
| 1.4021 | 1.621197 | 0 |
| 1.40893 | 1.621088 | 0 |
| 1.4158 | 1.620979 | 0 |
| 1.4227 | 1.62087 | 0 |
| 1.42964 | 1.620759 | 0 |
| 1.43661 | 1.620648 | 0 |
| 1.44361 | 1.620536 | 0 |
| 1.45065 | 1.620424 | 0 |
| 1.45772 | 1.620311 | 0 |
| 1.46482 | 1.620197 | 0 |
| 1.47197 | 1.620083 | 0 |
| 1.47914 | 1.619968 | 0 |
| 1.48635 | 1.619852 | 0 |
| 1.4936 | 1.619735 | 0 |
| 1.50088 | 1.619618 | 0 |
| 1.5082 | 1.619499 | 0 |
| 1.51555 | 1.61938 | 0 |
| 1.52294 | 1.619261 | 0 |
| 1.529 | 1.619162 | 0 |
| 1.53036 | 1.61914 | 0 |
| 1.53782 | 1.619019 | 0 |
| 1.54532 | 1.618897 | 0 |
| 1.55285 | 1.618774 | 0 |
| 1.56042 | 1.61865 | 0 |
| 1.56803 | 1.618525 | 0 |
| 1.57567 | 1.6184 | 0 |
| 1.58335 | 1.618273 | 0 |
| 1.59107 | 1.618146 | 0 |
| 1.59883 | 1.618017 | 0 |
| 1.60662 | 1.617888 | 0 |
| 1.61445 | 1.617758 | 0 |
| 1.62232 | 1.617627 | 0 |
| 1.63023 | 1.617495 | 0 |
| 1.63818 | 1.617362 | 0 |
| 1.64616 | 1.617228 | 0 |
| 1.65419 | 1.617093 | 0 |
| 1.66225 | 1.616957 | 0 |
| 1.67036 | 1.61682 | 0 |
| 1.6785 | 1.616682 | 0 |
| 1.68668 | 1.616543 | 0 |
| 1.6949 | 1.616403 | 0 |
| 1.70317 | 1.616262 | 0 |
| 1.71147 | 1.616119 | 0 |
| 1.71981 | 1.615976 | 0 |
| 1.72819 | 1.615831 | 0 |
| 1.73662 | 1.615686 | 0 |
| 1.74509 | 1.615539 | 0 |
| 1.75359 | 1.615391 | 0 |
| 1.76214 | 1.615242 | 0 |
| 1.77073 | 1.615092 | 0 |
| 1.77936 | 1.61494 | 0 |
| 1.78804 | 1.614787 | 0 |
| 1.79675 | 1.614633 | 0 |
| 1.80551 | 1.614478 | 0 |
| 1.81431 | 1.614321 | 0 |
| 1.82316 | 1.614164 | 0 |
| 1.83205 | 1.614005 | 0 |
| 1.84098 | 1.613844 | 0 |
| 1.84995 | 1.613682 | 0 |
| 1.85897 | 1.613519 | 0 |
| 1.86803 | 1.613355 | 0 |
| 1.87714 | 1.613189 | 0 |
| 1.88629 | 1.613022 | 0 |
| 1.89548 | 1.612853 | 0 |
| 1.90472 | 1.612683 | 0 |
| 1.91401 | 1.612512 | 0 |
| 1.92334 | 1.612339 | 0 |
| 1.93272 | 1.612165 | 0 |
| 1.94214 | 1.611989 | 0 |
| 1.95161 | 1.611811 | 0 |
| 1.96112 | 1.611633 | 0 |
| 1.97068 | 1.611452 | 0 |
| 1.98029 | 1.61127 | 0 |
| 1.98994 | 1.611087 | 0 |
| 1.99964 | 1.610901 | 0 |
| 2.00939 | 1.610715 | 0 |
| 2.01918 | 1.610526 | 0 |
| 2.02903 | 1.610336 | 0 |
| 2.03892 | 1.610144 | 0 |
| 2.04886 | 1.609951 | 0 |
| 2.05885 | 1.609756 | 0 |
| 2.06888 | 1.609559 | 0 |
| 2.07897 | 1.60936 | 0 |
| 2.0891 | 1.60916 | 0 |
| 2.09929 | 1.608958 | 0 |
| 2.10952 | 1.608754 | 0 |
| 2.1198 | 1.608548 | 0 |
| 2.13014 | 1.60834 | 0 |
| 2.14052 | 1.608131 | 0 |
| 2.15096 | 1.60792 | 0 |
| 2.16144 | 1.607706 | 0 |
| 2.17198 | 1.607491 | 0 |
| 2.18257 | 1.607274 | 0 |
| 2.19321 | 1.607055 | 0 |
| 2.2039 | 1.606834 | 0 |
| 2.21464 | 1.606611 | 0 |
| 2.22544 | 1.606385 | 0 |
| 2.23629 | 1.606158 | 0 |
| 2.24719 | 1.605929 | 0 |
| 2.25814 | 1.605698 | 0 |
| 2.26915 | 1.605464 | 0 |
| 2.28021 | 1.605228 | 0 |
| 2.29133 | 1.60499 | 0 |
| 2.3025 | 1.60475 | 0 |
| 2.31372 | 1.604508 | 0 |
| 2.325 | 1.604264 | 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
- —