Optical constants
Refractive index of BSM93 (OHARA)
BSM93: 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
- 1.641
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.69287
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 56.928
- Chromatic dispersion dn/dλ
- -0.058054 µm⁻¹
- Group index ng
- 1.67511
- Group velocity dispersion
- 102.932 fs²/mm
- Dispersion parameter D
- -561.55 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
# BSM93 (OHARA): BSM93
ohara_bsm93 = ls.fetch_refractiveindex("specs", "OHARA-optical", "BSM93", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_bsm93.range_nm) # (334, 2325) nm
eps = ohara_bsm93.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_e6b30046741a/lightsmith"
ohara_bsm93 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ohara_bsm93.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (ohara-bsm93/ohara).
# ... load ohara_bsm93 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ohara_bsm93)],
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 | 2.6481267 |
| C2 | -0.011553471 |
| C3 | 2.0 |
| C4 | 0.015517531 |
| C5 | -2.0 |
| C6 | 0.00053211731 |
| C7 | -4.0 |
| C8 | -3.390687e-05 |
| C9 | -6.0 |
| C10 | 2.099346e-06 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 298 K
Properties
- nd
- 1.640998
- Vd
- 56.927542
- glass code
- 641569
- 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 | 1.678639 | 0 |
| 0.335628 | 1.678044 | 0 |
| 0.337264 | 1.677457 | 0 |
| 0.338908 | 1.676878 | 0 |
| 0.340561 | 1.676307 | 0 |
| 0.342221 | 1.675744 | 0 |
| 0.343889 | 1.675189 | 0 |
| 0.345565 | 1.67464 | 0 |
| 0.34725 | 1.674099 | 0 |
| 0.348943 | 1.673566 | 0 |
| 0.35 | 1.673237 | 0 |
| 0.350644 | 1.673039 | 0 |
| 0.352353 | 1.672519 | 0 |
| 0.354071 | 1.672006 | 0 |
| 0.355797 | 1.671499 | 0 |
| 0.357531 | 1.670999 | 0 |
| 0.359274 | 1.670505 | 0 |
| 0.361026 | 1.670018 | 0 |
| 0.362786 | 1.669536 | 0 |
| 0.364554 | 1.669061 | 0 |
| 0.365 | 1.668942 | 0 |
| 0.366331 | 1.668591 | 0 |
| 0.368117 | 1.668128 | 0 |
| 0.369912 | 1.66767 | 0 |
| 0.37 | 1.667648 | 0 |
| 0.371715 | 1.667218 | 0 |
| 0.373527 | 1.666771 | 0 |
| 0.375348 | 1.666329 | 0 |
| 0.377177 | 1.665893 | 0 |
| 0.379016 | 1.665462 | 0 |
| 0.38 | 1.665235 | 0 |
| 0.380864 | 1.665037 | 0 |
| 0.38272 | 1.664616 | 0 |
| 0.384586 | 1.664201 | 0 |
| 0.386461 | 1.66379 | 0 |
| 0.388345 | 1.663384 | 0 |
| 0.39 | 1.663033 | 0 |
| 0.390238 | 1.662983 | 0 |
| 0.39214 | 1.662587 | 0 |
| 0.394052 | 1.662195 | 0 |
| 0.395973 | 1.661807 | 0 |
| 0.397903 | 1.661425 | 0 |
| 0.399843 | 1.661046 | 0 |
| 0.4 | 1.661016 | 0 |
| 0.401792 | 1.660672 | 0 |
| 0.403751 | 1.660302 | 0 |
| 0.405719 | 1.659937 | 0 |
| 0.407697 | 1.659575 | 0 |
| 0.409684 | 1.659218 | 0 |
| 0.411681 | 1.658865 | 0 |
| 0.413688 | 1.658515 | 0 |
| 0.415705 | 1.65817 | 0 |
| 0.417731 | 1.657828 | 0 |
| 0.419768 | 1.65749 | 0 |
| 0.42 | 1.657452 | 0 |
| 0.421814 | 1.657156 | 0 |
| 0.42387 | 1.656826 | 0 |
| 0.425937 | 1.656499 | 0 |
| 0.428013 | 1.656176 | 0 |
| 0.4301 | 1.655857 | 0 |
| 0.432196 | 1.65554 | 0 |
| 0.434303 | 1.655228 | 0 |
| 0.43642 | 1.654919 | 0 |
| 0.438548 | 1.654613 | 0 |
| 0.440686 | 1.65431 | 0 |
| 0.442834 | 1.654011 | 0 |
| 0.444993 | 1.653715 | 0 |
| 0.447162 | 1.653422 | 0 |
| 0.449342 | 1.653132 | 0 |
| 0.451532 | 1.652845 | 0 |
| 0.453733 | 1.652562 | 0 |
| 0.455945 | 1.652281 | 0 |
| 0.458168 | 1.652003 | 0 |
| 0.46 | 1.651778 | 0 |
| 0.460401 | 1.651728 | 0 |
| 0.462646 | 1.651457 | 0 |
| 0.464901 | 1.651188 | 0 |
| 0.467167 | 1.650921 | 0 |
| 0.469445 | 1.650658 | 0 |
| 0.471733 | 1.650397 | 0 |
| 0.474033 | 1.65014 | 0 |
| 0.476344 | 1.649884 | 0 |
| 0.478666 | 1.649632 | 0 |
| 0.480999 | 1.649382 | 0 |
| 0.483344 | 1.649134 | 0 |
| 0.4857 | 1.64889 | 0 |
| 0.488068 | 1.648647 | 0 |
| 0.490447 | 1.648407 | 0 |
| 0.492838 | 1.64817 | 0 |
| 0.49524 | 1.647935 | 0 |
| 0.497655 | 1.647702 | 0 |
| 0.5 | 1.64748 | 0 |
| 0.500081 | 1.647472 | 0 |
| 0.502518 | 1.647244 | 0 |
| 0.504968 | 1.647019 | 0 |
| 0.50743 | 1.646795 | 0 |
| 0.509903 | 1.646574 | 0 |
| 0.512389 | 1.646355 | 0 |
| 0.514887 | 1.646139 | 0 |
| 0.517397 | 1.645924 | 0 |
| 0.519919 | 1.645712 | 0 |
| 0.522454 | 1.645502 | 0 |
| 0.525001 | 1.645293 | 0 |
| 0.52756 | 1.645087 | 0 |
| 0.530132 | 1.644883 | 0 |
| 0.532716 | 1.644681 | 0 |
| 0.535313 | 1.644481 | 0 |
| 0.537922 | 1.644283 | 0 |
| 0.540545 | 1.644086 | 0 |
| 0.54318 | 1.643892 | 0 |
| 0.545828 | 1.6437 | 0 |
| 0.548488 | 1.643509 | 0 |
| 0.551162 | 1.64332 | 0 |
| 0.553849 | 1.643133 | 0 |
| 0.556549 | 1.642948 | 0 |
| 0.559262 | 1.642765 | 0 |
| 0.561988 | 1.642583 | 0 |
| 0.564728 | 1.642403 | 0 |
| 0.567481 | 1.642225 | 0 |
| 0.570247 | 1.642048 | 0 |
| 0.573027 | 1.641874 | 0 |
| 0.575821 | 1.6417 | 0 |
| 0.578628 | 1.641529 | 0 |
| 0.581448 | 1.641359 | 0 |
| 0.584283 | 1.64119 | 0 |
| 0.587131 | 1.641023 | 0 |
| 0.589993 | 1.640858 | 0 |
| 0.592869 | 1.640694 | 0 |
| 0.59576 | 1.640532 | 0 |
| 0.598664 | 1.640371 | 0 |
| 0.601582 | 1.640211 | 0 |
| 0.604515 | 1.640053 | 0 |
| 0.607462 | 1.639897 | 0 |
| 0.610423 | 1.639742 | 0 |
| 0.613399 | 1.639588 | 0 |
| 0.616389 | 1.639435 | 0 |
| 0.619394 | 1.639284 | 0 |
| 0.622413 | 1.639135 | 0 |
| 0.625447 | 1.638986 | 0 |
| 0.628496 | 1.638839 | 0 |
| 0.63156 | 1.638693 | 0 |
| 0.634639 | 1.638549 | 0 |
| 0.637733 | 1.638405 | 0 |
| 0.640841 | 1.638263 | 0 |
| 0.643965 | 1.638122 | 0 |
| 0.647105 | 1.637983 | 0 |
| 0.650259 | 1.637844 | 0 |
| 0.653429 | 1.637707 | 0 |
| 0.656614 | 1.637571 | 0 |
| 0.659815 | 1.637436 | 0 |
| 0.66 | 1.637428 | 0 |
| 0.663032 | 1.637302 | 0 |
| 0.666264 | 1.637169 | 0 |
| 0.669512 | 1.637037 | 0 |
| 0.672776 | 1.636906 | 0 |
| 0.676055 | 1.636777 | 0 |
| 0.679351 | 1.636648 | 0 |
| 0.682663 | 1.636521 | 0 |
| 0.685991 | 1.636394 | 0 |
| 0.689335 | 1.636268 | 0 |
| 0.692695 | 1.636144 | 0 |
| 0.696072 | 1.63602 | 0 |
| 0.699465 | 1.635898 | 0 |
| 0.702875 | 1.635776 | 0 |
| 0.706301 | 1.635655 | 0 |
| 0.709744 | 1.635535 | 0 |
| 0.713204 | 1.635416 | 0 |
| 0.716681 | 1.635298 | 0 |
| 0.720175 | 1.635181 | 0 |
| 0.723686 | 1.635065 | 0 |
| 0.727213 | 1.634949 | 0 |
| 0.730758 | 1.634835 | 0 |
| 0.734321 | 1.634721 | 0 |
| 0.7379 | 1.634608 | 0 |
| 0.741498 | 1.634496 | 0 |
| 0.745112 | 1.634384 | 0 |
| 0.748745 | 1.634274 | 0 |
| 0.752395 | 1.634164 | 0 |
| 0.756062 | 1.634055 | 0 |
| 0.759748 | 1.633946 | 0 |
| 0.763452 | 1.633839 | 0 |
| 0.767173 | 1.633732 | 0 |
| 0.770913 | 1.633626 | 0 |
| 0.774671 | 1.63352 | 0 |
| 0.778448 | 1.633415 | 0 |
| 0.782243 | 1.633311 | 0 |
| 0.786056 | 1.633207 | 0 |
| 0.789888 | 1.633105 | 0 |
| 0.793738 | 1.633002 | 0 |
| 0.797608 | 1.632901 | 0 |
| 0.801496 | 1.6328 | 0 |
| 0.805403 | 1.632699 | 0 |
| 0.809329 | 1.632599 | 0 |
| 0.813275 | 1.6325 | 0 |
| 0.817239 | 1.632401 | 0 |
| 0.821223 | 1.632303 | 0 |
| 0.825226 | 1.632206 | 0 |
| 0.829249 | 1.632109 | 0 |
| 0.833292 | 1.632012 | 0 |
| 0.837354 | 1.631916 | 0 |
| 0.841436 | 1.63182 | 0 |
| 0.845538 | 1.631725 | 0 |
| 0.84966 | 1.631631 | 0 |
| 0.853801 | 1.631537 | 0 |
| 0.857964 | 1.631443 | 0 |
| 0.862146 | 1.63135 | 0 |
| 0.866349 | 1.631257 | 0 |
| 0.870572 | 1.631165 | 0 |
| 0.874816 | 1.631073 | 0 |
| 0.879081 | 1.630982 | 0 |
| 0.883366 | 1.630891 | 0 |
| 0.887672 | 1.6308 | 0 |
| 0.892 | 1.63071 | 0 |
| 0.896348 | 1.63062 | 0 |
| 0.900717 | 1.630531 | 0 |
| 0.905108 | 1.630442 | 0 |
| 0.909521 | 1.630353 | 0 |
| 0.913954 | 1.630264 | 0 |
| 0.91841 | 1.630176 | 0 |
| 0.922887 | 1.630088 | 0 |
| 0.927386 | 1.630001 | 0 |
| 0.931907 | 1.629914 | 0 |
| 0.936449 | 1.629827 | 0 |
| 0.941015 | 1.62974 | 0 |
| 0.945602 | 1.629654 | 0 |
| 0.950211 | 1.629568 | 0 |
| 0.954844 | 1.629482 | 0 |
| 0.959498 | 1.629396 | 0 |
| 0.964176 | 1.629311 | 0 |
| 0.968876 | 1.629226 | 0 |
| 0.973599 | 1.629141 | 0 |
| 0.978345 | 1.629056 | 0 |
| 0.983114 | 1.628972 | 0 |
| 0.987907 | 1.628888 | 0 |
| 0.992723 | 1.628804 | 0 |
| 0.997562 | 1.62872 | 0 |
| 1.00243 | 1.628636 | 0 |
| 1.00731 | 1.628552 | 0 |
| 1.01222 | 1.628469 | 0 |
| 1.01716 | 1.628386 | 0 |
| 1.02212 | 1.628303 | 0 |
| 1.0271 | 1.62822 | 0 |
| 1.0321 | 1.628137 | 0 |
| 1.03714 | 1.628054 | 0 |
| 1.04219 | 1.627971 | 0 |
| 1.04727 | 1.627889 | 0 |
| 1.05238 | 1.627806 | 0 |
| 1.05751 | 1.627724 | 0 |
| 1.06 | 1.627684 | 0 |
| 1.06266 | 1.627641 | 0 |
| 1.06784 | 1.627559 | 0 |
| 1.07305 | 1.627477 | 0 |
| 1.07828 | 1.627395 | 0 |
| 1.08354 | 1.627312 | 0 |
| 1.08882 | 1.62723 | 0 |
| 1.09413 | 1.627148 | 0 |
| 1.09946 | 1.627066 | 0 |
| 1.10482 | 1.626984 | 0 |
| 1.11021 | 1.626902 | 0 |
| 1.11562 | 1.62682 | 0 |
| 1.12106 | 1.626737 | 0 |
| 1.12652 | 1.626655 | 0 |
| 1.13201 | 1.626573 | 0 |
| 1.13753 | 1.626491 | 0 |
| 1.14308 | 1.626408 | 0 |
| 1.14865 | 1.626326 | 0 |
| 1.15425 | 1.626243 | 0 |
| 1.15987 | 1.626161 | 0 |
| 1.16553 | 1.626078 | 0 |
| 1.17121 | 1.625995 | 0 |
| 1.17692 | 1.625913 | 0 |
| 1.18266 | 1.62583 | 0 |
| 1.18842 | 1.625746 | 0 |
| 1.19422 | 1.625663 | 0 |
| 1.20004 | 1.62558 | 0 |
| 1.20589 | 1.625496 | 0 |
| 1.21177 | 1.625413 | 0 |
| 1.21767 | 1.625329 | 0 |
| 1.22361 | 1.625245 | 0 |
| 1.22957 | 1.625161 | 0 |
| 1.23557 | 1.625076 | 0 |
| 1.24159 | 1.624992 | 0 |
| 1.24764 | 1.624907 | 0 |
| 1.25373 | 1.624822 | 0 |
| 1.25984 | 1.624737 | 0 |
| 1.26598 | 1.624651 | 0 |
| 1.27215 | 1.624565 | 0 |
| 1.27835 | 1.624479 | 0 |
| 1.28458 | 1.624393 | 0 |
| 1.29085 | 1.624307 | 0 |
| 1.29714 | 1.62422 | 0 |
| 1.30346 | 1.624133 | 0 |
| 1.30982 | 1.624046 | 0 |
| 1.3162 | 1.623958 | 0 |
| 1.32262 | 1.62387 | 0 |
| 1.32907 | 1.623782 | 0 |
| 1.33554 | 1.623693 | 0 |
| 1.34205 | 1.623605 | 0 |
| 1.3486 | 1.623515 | 0 |
| 1.35517 | 1.623426 | 0 |
| 1.36178 | 1.623336 | 0 |
| 1.36842 | 1.623245 | 0 |
| 1.37509 | 1.623155 | 0 |
| 1.38179 | 1.623064 | 0 |
| 1.38853 | 1.622972 | 0 |
| 1.39529 | 1.62288 | 0 |
| 1.4021 | 1.622788 | 0 |
| 1.40893 | 1.622695 | 0 |
| 1.4158 | 1.622602 | 0 |
| 1.4227 | 1.622509 | 0 |
| 1.42964 | 1.622414 | 0 |
| 1.43661 | 1.62232 | 0 |
| 1.44361 | 1.622225 | 0 |
| 1.45065 | 1.62213 | 0 |
| 1.45772 | 1.622034 | 0 |
| 1.46482 | 1.621937 | 0 |
| 1.47197 | 1.62184 | 0 |
| 1.47914 | 1.621743 | 0 |
| 1.48635 | 1.621645 | 0 |
| 1.4936 | 1.621546 | 0 |
| 1.50088 | 1.621447 | 0 |
| 1.5082 | 1.621348 | 0 |
| 1.51555 | 1.621248 | 0 |
| 1.52294 | 1.621147 | 0 |
| 1.529 | 1.621064 | 0 |
| 1.53036 | 1.621046 | 0 |
| 1.53782 | 1.620944 | 0 |
| 1.54532 | 1.620841 | 0 |
| 1.55285 | 1.620738 | 0 |
| 1.56042 | 1.620634 | 0 |
| 1.56803 | 1.62053 | 0 |
| 1.57567 | 1.620425 | 0 |
| 1.58335 | 1.620319 | 0 |
| 1.59107 | 1.620213 | 0 |
| 1.59883 | 1.620106 | 0 |
| 1.60662 | 1.619998 | 0 |
| 1.61445 | 1.61989 | 0 |
| 1.62232 | 1.619781 | 0 |
| 1.63023 | 1.619671 | 0 |
| 1.63818 | 1.61956 | 0 |
| 1.64616 | 1.619449 | 0 |
| 1.65419 | 1.619337 | 0 |
| 1.66225 | 1.619224 | 0 |
| 1.67036 | 1.619111 | 0 |
| 1.6785 | 1.618997 | 0 |
| 1.68668 | 1.618881 | 0 |
| 1.6949 | 1.618766 | 0 |
| 1.70317 | 1.618649 | 0 |
| 1.71147 | 1.618531 | 0 |
| 1.71981 | 1.618413 | 0 |
| 1.72819 | 1.618294 | 0 |
| 1.73662 | 1.618174 | 0 |
| 1.74509 | 1.618053 | 0 |
| 1.75359 | 1.617931 | 0 |
| 1.76214 | 1.617808 | 0 |
| 1.77073 | 1.617684 | 0 |
| 1.77936 | 1.61756 | 0 |
| 1.78804 | 1.617434 | 0 |
| 1.79675 | 1.617308 | 0 |
| 1.80551 | 1.617181 | 0 |
| 1.81431 | 1.617052 | 0 |
| 1.82316 | 1.616923 | 0 |
| 1.83205 | 1.616793 | 0 |
| 1.84098 | 1.616661 | 0 |
| 1.84995 | 1.616529 | 0 |
| 1.85897 | 1.616396 | 0 |
| 1.86803 | 1.616261 | 0 |
| 1.87714 | 1.616126 | 0 |
| 1.88629 | 1.615989 | 0 |
| 1.89548 | 1.615852 | 0 |
| 1.90472 | 1.615713 | 0 |
| 1.91401 | 1.615573 | 0 |
| 1.92334 | 1.615432 | 0 |
| 1.93272 | 1.61529 | 0 |
| 1.94214 | 1.615147 | 0 |
| 1.95161 | 1.615002 | 0 |
| 1.96112 | 1.614857 | 0 |
| 1.97068 | 1.61471 | 0 |
| 1.98029 | 1.614562 | 0 |
| 1.98994 | 1.614413 | 0 |
| 1.99964 | 1.614262 | 0 |
| 2.00939 | 1.614111 | 0 |
| 2.01918 | 1.613958 | 0 |
| 2.02903 | 1.613804 | 0 |
| 2.03892 | 1.613648 | 0 |
| 2.04886 | 1.613491 | 0 |
| 2.05885 | 1.613333 | 0 |
| 2.06888 | 1.613173 | 0 |
| 2.07897 | 1.613013 | 0 |
| 2.0891 | 1.61285 | 0 |
| 2.09929 | 1.612687 | 0 |
| 2.10952 | 1.612522 | 0 |
| 2.1198 | 1.612355 | 0 |
| 2.13014 | 1.612187 | 0 |
| 2.14052 | 1.612018 | 0 |
| 2.15096 | 1.611847 | 0 |
| 2.16144 | 1.611675 | 0 |
| 2.17198 | 1.611501 | 0 |
| 2.18257 | 1.611326 | 0 |
| 2.19321 | 1.611149 | 0 |
| 2.2039 | 1.610971 | 0 |
| 2.21464 | 1.610791 | 0 |
| 2.22544 | 1.610609 | 0 |
| 2.23629 | 1.610426 | 0 |
| 2.24719 | 1.610241 | 0 |
| 2.25814 | 1.610055 | 0 |
| 2.26915 | 1.609867 | 0 |
| 2.28021 | 1.609677 | 0 |
| 2.29133 | 1.609486 | 0 |
| 2.3025 | 1.609292 | 0 |
| 2.31372 | 1.609097 | 0 |
| 2.325 | 1.608901 | 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
- —