Optical constants
Refractive index of FPL51 (OHARA)
FPL51: 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
- 1.497
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.241
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 81.615
- Chromatic dispersion dn/dλ
- -0.0315314 µm⁻¹
- Group index ng
- 1.51553
- Group velocity dispersion
- 54.5567 fs²/mm
- Dispersion parameter D
- -297.636 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
# FPL51 (OHARA): FPL51
ohara_fpl51 = ls.fetch_refractiveindex("specs", "OHARA-optical", "FPL51", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_fpl51.range_nm) # (334, 2325) nm
eps = ohara_fpl51.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_0784315e5a16/lightsmith"
ohara_fpl51 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ohara_fpl51.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (ohara-fpl51/ohara).
# ... load ohara_fpl51 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ohara_fpl51)],
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 | 2.2184385 |
| C2 | -0.0059347504 |
| C3 | 2.0 |
| C4 | 0.0080764899 |
| C5 | -2.0 |
| C6 | 0.00016581036 |
| C7 | -4.0 |
| C8 | -8.0553319e-06 |
| C9 | -6.0 |
| C10 | 3.5839492e-07 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 298 K
Properties
- nd
- 1.496999
- Vd
- 81.614660
- glass code
- 497816
- 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 | 1.516579 | 0 |
| 0.335628 | 1.516287 | 0 |
| 0.337264 | 1.515998 | 0 |
| 0.338908 | 1.515713 | 0 |
| 0.340561 | 1.515431 | 0 |
| 0.342221 | 1.515152 | 0 |
| 0.343889 | 1.514876 | 0 |
| 0.345565 | 1.514603 | 0 |
| 0.34725 | 1.514334 | 0 |
| 0.348943 | 1.514067 | 0 |
| 0.35 | 1.513903 | 0 |
| 0.350644 | 1.513803 | 0 |
| 0.352353 | 1.513542 | 0 |
| 0.354071 | 1.513285 | 0 |
| 0.355797 | 1.51303 | 0 |
| 0.357531 | 1.512777 | 0 |
| 0.359274 | 1.512528 | 0 |
| 0.361026 | 1.512281 | 0 |
| 0.362786 | 1.512037 | 0 |
| 0.364554 | 1.511796 | 0 |
| 0.365 | 1.511735 | 0 |
| 0.366331 | 1.511557 | 0 |
| 0.368117 | 1.511321 | 0 |
| 0.369912 | 1.511087 | 0 |
| 0.37 | 1.511076 | 0 |
| 0.371715 | 1.510856 | 0 |
| 0.373527 | 1.510627 | 0 |
| 0.375348 | 1.510401 | 0 |
| 0.377177 | 1.510177 | 0 |
| 0.379016 | 1.509956 | 0 |
| 0.38 | 1.509839 | 0 |
| 0.380864 | 1.509737 | 0 |
| 0.38272 | 1.50952 | 0 |
| 0.384586 | 1.509306 | 0 |
| 0.386461 | 1.509094 | 0 |
| 0.388345 | 1.508884 | 0 |
| 0.39 | 1.508703 | 0 |
| 0.390238 | 1.508677 | 0 |
| 0.39214 | 1.508471 | 0 |
| 0.394052 | 1.508268 | 0 |
| 0.395973 | 1.508067 | 0 |
| 0.397903 | 1.507868 | 0 |
| 0.399843 | 1.507671 | 0 |
| 0.4 | 1.507655 | 0 |
| 0.401792 | 1.507476 | 0 |
| 0.403751 | 1.507283 | 0 |
| 0.405719 | 1.507093 | 0 |
| 0.407697 | 1.506904 | 0 |
| 0.409684 | 1.506717 | 0 |
| 0.411681 | 1.506532 | 0 |
| 0.413688 | 1.506349 | 0 |
| 0.415705 | 1.506168 | 0 |
| 0.417731 | 1.505989 | 0 |
| 0.419768 | 1.505812 | 0 |
| 0.42 | 1.505791 | 0 |
| 0.421814 | 1.505636 | 0 |
| 0.42387 | 1.505462 | 0 |
| 0.425937 | 1.50529 | 0 |
| 0.428013 | 1.50512 | 0 |
| 0.4301 | 1.504952 | 0 |
| 0.432196 | 1.504785 | 0 |
| 0.434303 | 1.50462 | 0 |
| 0.43642 | 1.504457 | 0 |
| 0.438548 | 1.504295 | 0 |
| 0.440686 | 1.504135 | 0 |
| 0.442834 | 1.503977 | 0 |
| 0.444993 | 1.50382 | 0 |
| 0.447162 | 1.503665 | 0 |
| 0.449342 | 1.503511 | 0 |
| 0.451532 | 1.503359 | 0 |
| 0.453733 | 1.503208 | 0 |
| 0.455945 | 1.503059 | 0 |
| 0.458168 | 1.502912 | 0 |
| 0.46 | 1.502792 | 0 |
| 0.460401 | 1.502766 | 0 |
| 0.462646 | 1.502621 | 0 |
| 0.464901 | 1.502478 | 0 |
| 0.467167 | 1.502336 | 0 |
| 0.469445 | 1.502196 | 0 |
| 0.471733 | 1.502057 | 0 |
| 0.474033 | 1.501919 | 0 |
| 0.476344 | 1.501783 | 0 |
| 0.478666 | 1.501648 | 0 |
| 0.480999 | 1.501515 | 0 |
| 0.483344 | 1.501383 | 0 |
| 0.4857 | 1.501252 | 0 |
| 0.488068 | 1.501122 | 0 |
| 0.490447 | 1.500994 | 0 |
| 0.492838 | 1.500866 | 0 |
| 0.49524 | 1.500741 | 0 |
| 0.497655 | 1.500616 | 0 |
| 0.5 | 1.500497 | 0 |
| 0.500081 | 1.500492 | 0 |
| 0.502518 | 1.50037 | 0 |
| 0.504968 | 1.500249 | 0 |
| 0.50743 | 1.500129 | 0 |
| 0.509903 | 1.500011 | 0 |
| 0.512389 | 1.499893 | 0 |
| 0.514887 | 1.499776 | 0 |
| 0.517397 | 1.499661 | 0 |
| 0.519919 | 1.499547 | 0 |
| 0.522454 | 1.499434 | 0 |
| 0.525001 | 1.499322 | 0 |
| 0.52756 | 1.499211 | 0 |
| 0.530132 | 1.499101 | 0 |
| 0.532716 | 1.498992 | 0 |
| 0.535313 | 1.498884 | 0 |
| 0.537922 | 1.498777 | 0 |
| 0.540545 | 1.498671 | 0 |
| 0.54318 | 1.498566 | 0 |
| 0.545828 | 1.498462 | 0 |
| 0.548488 | 1.498359 | 0 |
| 0.551162 | 1.498257 | 0 |
| 0.553849 | 1.498156 | 0 |
| 0.556549 | 1.498056 | 0 |
| 0.559262 | 1.497956 | 0 |
| 0.561988 | 1.497858 | 0 |
| 0.564728 | 1.497761 | 0 |
| 0.567481 | 1.497664 | 0 |
| 0.570247 | 1.497568 | 0 |
| 0.573027 | 1.497474 | 0 |
| 0.575821 | 1.49738 | 0 |
| 0.578628 | 1.497287 | 0 |
| 0.581448 | 1.497194 | 0 |
| 0.584283 | 1.497103 | 0 |
| 0.587131 | 1.497012 | 0 |
| 0.589993 | 1.496922 | 0 |
| 0.592869 | 1.496833 | 0 |
| 0.59576 | 1.496745 | 0 |
| 0.598664 | 1.496658 | 0 |
| 0.601582 | 1.496571 | 0 |
| 0.604515 | 1.496485 | 0 |
| 0.607462 | 1.4964 | 0 |
| 0.610423 | 1.496315 | 0 |
| 0.613399 | 1.496231 | 0 |
| 0.616389 | 1.496148 | 0 |
| 0.619394 | 1.496066 | 0 |
| 0.622413 | 1.495984 | 0 |
| 0.625447 | 1.495904 | 0 |
| 0.628496 | 1.495823 | 0 |
| 0.63156 | 1.495744 | 0 |
| 0.634639 | 1.495665 | 0 |
| 0.637733 | 1.495587 | 0 |
| 0.640841 | 1.495509 | 0 |
| 0.643965 | 1.495432 | 0 |
| 0.647105 | 1.495356 | 0 |
| 0.650259 | 1.49528 | 0 |
| 0.653429 | 1.495205 | 0 |
| 0.656614 | 1.49513 | 0 |
| 0.659815 | 1.495056 | 0 |
| 0.66 | 1.495052 | 0 |
| 0.663032 | 1.494983 | 0 |
| 0.666264 | 1.49491 | 0 |
| 0.669512 | 1.494838 | 0 |
| 0.672776 | 1.494766 | 0 |
| 0.676055 | 1.494695 | 0 |
| 0.679351 | 1.494625 | 0 |
| 0.682663 | 1.494555 | 0 |
| 0.685991 | 1.494486 | 0 |
| 0.689335 | 1.494417 | 0 |
| 0.692695 | 1.494348 | 0 |
| 0.696072 | 1.49428 | 0 |
| 0.699465 | 1.494213 | 0 |
| 0.702875 | 1.494146 | 0 |
| 0.706301 | 1.49408 | 0 |
| 0.709744 | 1.494014 | 0 |
| 0.713204 | 1.493949 | 0 |
| 0.716681 | 1.493884 | 0 |
| 0.720175 | 1.493819 | 0 |
| 0.723686 | 1.493755 | 0 |
| 0.727213 | 1.493692 | 0 |
| 0.730758 | 1.493629 | 0 |
| 0.734321 | 1.493566 | 0 |
| 0.7379 | 1.493504 | 0 |
| 0.741498 | 1.493442 | 0 |
| 0.745112 | 1.493381 | 0 |
| 0.748745 | 1.49332 | 0 |
| 0.752395 | 1.493259 | 0 |
| 0.756062 | 1.493199 | 0 |
| 0.759748 | 1.493139 | 0 |
| 0.763452 | 1.49308 | 0 |
| 0.767173 | 1.493021 | 0 |
| 0.770913 | 1.492962 | 0 |
| 0.774671 | 1.492904 | 0 |
| 0.778448 | 1.492846 | 0 |
| 0.782243 | 1.492788 | 0 |
| 0.786056 | 1.492731 | 0 |
| 0.789888 | 1.492674 | 0 |
| 0.793738 | 1.492617 | 0 |
| 0.797608 | 1.492561 | 0 |
| 0.801496 | 1.492505 | 0 |
| 0.805403 | 1.49245 | 0 |
| 0.809329 | 1.492394 | 0 |
| 0.813275 | 1.492339 | 0 |
| 0.817239 | 1.492285 | 0 |
| 0.821223 | 1.49223 | 0 |
| 0.825226 | 1.492176 | 0 |
| 0.829249 | 1.492123 | 0 |
| 0.833292 | 1.492069 | 0 |
| 0.837354 | 1.492016 | 0 |
| 0.841436 | 1.491963 | 0 |
| 0.845538 | 1.49191 | 0 |
| 0.84966 | 1.491858 | 0 |
| 0.853801 | 1.491806 | 0 |
| 0.857964 | 1.491754 | 0 |
| 0.862146 | 1.491702 | 0 |
| 0.866349 | 1.49165 | 0 |
| 0.870572 | 1.491599 | 0 |
| 0.874816 | 1.491548 | 0 |
| 0.879081 | 1.491497 | 0 |
| 0.883366 | 1.491447 | 0 |
| 0.887672 | 1.491396 | 0 |
| 0.892 | 1.491346 | 0 |
| 0.896348 | 1.491296 | 0 |
| 0.900717 | 1.491247 | 0 |
| 0.905108 | 1.491197 | 0 |
| 0.909521 | 1.491148 | 0 |
| 0.913954 | 1.491098 | 0 |
| 0.91841 | 1.491049 | 0 |
| 0.922887 | 1.491001 | 0 |
| 0.927386 | 1.490952 | 0 |
| 0.931907 | 1.490903 | 0 |
| 0.936449 | 1.490855 | 0 |
| 0.941015 | 1.490807 | 0 |
| 0.945602 | 1.490759 | 0 |
| 0.950211 | 1.490711 | 0 |
| 0.954844 | 1.490663 | 0 |
| 0.959498 | 1.490615 | 0 |
| 0.964176 | 1.490568 | 0 |
| 0.968876 | 1.49052 | 0 |
| 0.973599 | 1.490473 | 0 |
| 0.978345 | 1.490426 | 0 |
| 0.983114 | 1.490378 | 0 |
| 0.987907 | 1.490331 | 0 |
| 0.992723 | 1.490284 | 0 |
| 0.997562 | 1.490238 | 0 |
| 1.00243 | 1.490191 | 0 |
| 1.00731 | 1.490144 | 0 |
| 1.01222 | 1.490098 | 0 |
| 1.01716 | 1.490051 | 0 |
| 1.02212 | 1.490005 | 0 |
| 1.0271 | 1.489958 | 0 |
| 1.0321 | 1.489912 | 0 |
| 1.03714 | 1.489866 | 0 |
| 1.04219 | 1.48982 | 0 |
| 1.04727 | 1.489774 | 0 |
| 1.05238 | 1.489727 | 0 |
| 1.05751 | 1.489681 | 0 |
| 1.06 | 1.489659 | 0 |
| 1.06266 | 1.489635 | 0 |
| 1.06784 | 1.489589 | 0 |
| 1.07305 | 1.489543 | 0 |
| 1.07828 | 1.489497 | 0 |
| 1.08354 | 1.489451 | 0 |
| 1.08882 | 1.489405 | 0 |
| 1.09413 | 1.48936 | 0 |
| 1.09946 | 1.489314 | 0 |
| 1.10482 | 1.489268 | 0 |
| 1.11021 | 1.489222 | 0 |
| 1.11562 | 1.489176 | 0 |
| 1.12106 | 1.48913 | 0 |
| 1.12652 | 1.489084 | 0 |
| 1.13201 | 1.489038 | 0 |
| 1.13753 | 1.488992 | 0 |
| 1.14308 | 1.488946 | 0 |
| 1.14865 | 1.488899 | 0 |
| 1.15425 | 1.488853 | 0 |
| 1.15987 | 1.488807 | 0 |
| 1.16553 | 1.488761 | 0 |
| 1.17121 | 1.488714 | 0 |
| 1.17692 | 1.488668 | 0 |
| 1.18266 | 1.488621 | 0 |
| 1.18842 | 1.488575 | 0 |
| 1.19422 | 1.488528 | 0 |
| 1.20004 | 1.488482 | 0 |
| 1.20589 | 1.488435 | 0 |
| 1.21177 | 1.488388 | 0 |
| 1.21767 | 1.488341 | 0 |
| 1.22361 | 1.488294 | 0 |
| 1.22957 | 1.488247 | 0 |
| 1.23557 | 1.488199 | 0 |
| 1.24159 | 1.488152 | 0 |
| 1.24764 | 1.488105 | 0 |
| 1.25373 | 1.488057 | 0 |
| 1.25984 | 1.488009 | 0 |
| 1.26598 | 1.487961 | 0 |
| 1.27215 | 1.487913 | 0 |
| 1.27835 | 1.487865 | 0 |
| 1.28458 | 1.487817 | 0 |
| 1.29085 | 1.487768 | 0 |
| 1.29714 | 1.48772 | 0 |
| 1.30346 | 1.487671 | 0 |
| 1.30982 | 1.487622 | 0 |
| 1.3162 | 1.487573 | 0 |
| 1.32262 | 1.487524 | 0 |
| 1.32907 | 1.487474 | 0 |
| 1.33554 | 1.487424 | 0 |
| 1.34205 | 1.487375 | 0 |
| 1.3486 | 1.487325 | 0 |
| 1.35517 | 1.487274 | 0 |
| 1.36178 | 1.487224 | 0 |
| 1.36842 | 1.487173 | 0 |
| 1.37509 | 1.487122 | 0 |
| 1.38179 | 1.487071 | 0 |
| 1.38853 | 1.48702 | 0 |
| 1.39529 | 1.486969 | 0 |
| 1.4021 | 1.486917 | 0 |
| 1.40893 | 1.486865 | 0 |
| 1.4158 | 1.486813 | 0 |
| 1.4227 | 1.48676 | 0 |
| 1.42964 | 1.486707 | 0 |
| 1.43661 | 1.486654 | 0 |
| 1.44361 | 1.486601 | 0 |
| 1.45065 | 1.486548 | 0 |
| 1.45772 | 1.486494 | 0 |
| 1.46482 | 1.48644 | 0 |
| 1.47197 | 1.486386 | 0 |
| 1.47914 | 1.486331 | 0 |
| 1.48635 | 1.486276 | 0 |
| 1.4936 | 1.486221 | 0 |
| 1.50088 | 1.486165 | 0 |
| 1.5082 | 1.486109 | 0 |
| 1.51555 | 1.486053 | 0 |
| 1.52294 | 1.485997 | 0 |
| 1.529 | 1.48595 | 0 |
| 1.53036 | 1.48594 | 0 |
| 1.53782 | 1.485883 | 0 |
| 1.54532 | 1.485825 | 0 |
| 1.55285 | 1.485768 | 0 |
| 1.56042 | 1.485709 | 0 |
| 1.56803 | 1.485651 | 0 |
| 1.57567 | 1.485592 | 0 |
| 1.58335 | 1.485533 | 0 |
| 1.59107 | 1.485473 | 0 |
| 1.59883 | 1.485413 | 0 |
| 1.60662 | 1.485353 | 0 |
| 1.61445 | 1.485292 | 0 |
| 1.62232 | 1.485231 | 0 |
| 1.63023 | 1.485169 | 0 |
| 1.63818 | 1.485107 | 0 |
| 1.64616 | 1.485045 | 0 |
| 1.65419 | 1.484982 | 0 |
| 1.66225 | 1.484919 | 0 |
| 1.67036 | 1.484855 | 0 |
| 1.6785 | 1.484791 | 0 |
| 1.68668 | 1.484727 | 0 |
| 1.6949 | 1.484662 | 0 |
| 1.70317 | 1.484597 | 0 |
| 1.71147 | 1.484531 | 0 |
| 1.71981 | 1.484464 | 0 |
| 1.72819 | 1.484397 | 0 |
| 1.73662 | 1.48433 | 0 |
| 1.74509 | 1.484262 | 0 |
| 1.75359 | 1.484194 | 0 |
| 1.76214 | 1.484125 | 0 |
| 1.77073 | 1.484056 | 0 |
| 1.77936 | 1.483986 | 0 |
| 1.78804 | 1.483916 | 0 |
| 1.79675 | 1.483845 | 0 |
| 1.80551 | 1.483774 | 0 |
| 1.81431 | 1.483702 | 0 |
| 1.82316 | 1.48363 | 0 |
| 1.83205 | 1.483557 | 0 |
| 1.84098 | 1.483483 | 0 |
| 1.84995 | 1.483409 | 0 |
| 1.85897 | 1.483334 | 0 |
| 1.86803 | 1.483259 | 0 |
| 1.87714 | 1.483183 | 0 |
| 1.88629 | 1.483107 | 0 |
| 1.89548 | 1.483029 | 0 |
| 1.90472 | 1.482952 | 0 |
| 1.91401 | 1.482873 | 0 |
| 1.92334 | 1.482795 | 0 |
| 1.93272 | 1.482715 | 0 |
| 1.94214 | 1.482635 | 0 |
| 1.95161 | 1.482554 | 0 |
| 1.96112 | 1.482472 | 0 |
| 1.97068 | 1.48239 | 0 |
| 1.98029 | 1.482307 | 0 |
| 1.98994 | 1.482224 | 0 |
| 1.99964 | 1.48214 | 0 |
| 2.00939 | 1.482055 | 0 |
| 2.01918 | 1.481969 | 0 |
| 2.02903 | 1.481883 | 0 |
| 2.03892 | 1.481796 | 0 |
| 2.04886 | 1.481708 | 0 |
| 2.05885 | 1.48162 | 0 |
| 2.06888 | 1.48153 | 0 |
| 2.07897 | 1.48144 | 0 |
| 2.0891 | 1.48135 | 0 |
| 2.09929 | 1.481258 | 0 |
| 2.10952 | 1.481166 | 0 |
| 2.1198 | 1.481073 | 0 |
| 2.13014 | 1.480979 | 0 |
| 2.14052 | 1.480884 | 0 |
| 2.15096 | 1.480788 | 0 |
| 2.16144 | 1.480692 | 0 |
| 2.17198 | 1.480595 | 0 |
| 2.18257 | 1.480497 | 0 |
| 2.19321 | 1.480398 | 0 |
| 2.2039 | 1.480298 | 0 |
| 2.21464 | 1.480197 | 0 |
| 2.22544 | 1.480096 | 0 |
| 2.23629 | 1.479993 | 0 |
| 2.24719 | 1.47989 | 0 |
| 2.25814 | 1.479786 | 0 |
| 2.26915 | 1.479681 | 0 |
| 2.28021 | 1.479575 | 0 |
| 2.29133 | 1.479468 | 0 |
| 2.3025 | 1.47936 | 0 |
| 2.31372 | 1.479251 | 0 |
| 2.325 | 1.479141 | 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
- —