Optical constants
Refractive index of Basal Medium Eagle (BME, DMEM)
Barroso et al. 2019: DMEM with 10% FBS; n 0.5–1.1 µm
- Data
- formula 3
- Range
- 0.5–1.1 µm
- Temperature
- 295 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.33489
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.78193
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0238227 µm⁻¹
- Group index ng
- 1.34889
- Group velocity dispersion
- 48.6745 fs²/mm
- Dispersion parameter D
- -265.545 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
# Basal Medium Eagle (BME, DMEM): Barroso et al. 2019: DMEM with 10% FBS; n 0.5–1.1 µm
bme = ls.fetch_refractiveindex("other", "BME", "Barroso-FBS", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(bme.range_nm) # (500, 1100) nm
eps = bme.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_149e687a86f1/lightsmith"
bme = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(bme.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (bme/barroso-2019-fbs).
# ... load bme as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=bme)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=500, 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 0.5 to 1.1 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.7826 |
| C2 | -0.0008 |
| C3 | -2.0 |
| C4 | 0.0009 |
| C5 | -4.0 |
| C6 | -0.0171 |
| C7 | 2.0 |
Comments and conditions
Conditions
- temperature
- 295 K
References
- doi:10.1117/12.2509221 Refractive index determination of buffer solutions from visible to near-infrared spectral range for multispectral quantitative phase imaging using a calibrated Abbe refractometer, Quantitative Phase Imaging V (2019)
Cite
Álvaro Barroso Peña, Rohan Radhakrishnan, Steffi Ketelhut, Jürgen Schnekenburger and Björn Kemper. Refractive index determination of buffer solutions from visible to near-infrared spectral range for multispectral quantitative phase imaging using a calibrated Abbe refractometer. Quantitative Phase Imaging V, 80 (2019), doi:10.1117/12.2509221; 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 |
|---|---|
| 0.5 | 1.337731 |
| 0.500989 | 1.337687 |
| 0.50198 | 1.337644 |
| 0.502973 | 1.3376 |
| 0.503968 | 1.337557 |
| 0.504965 | 1.337514 |
| 0.505964 | 1.337472 |
| 0.506964 | 1.337429 |
| 0.507967 | 1.337387 |
| 0.508972 | 1.337346 |
| 0.509979 | 1.337304 |
| 0.510987 | 1.337263 |
| 0.511998 | 1.337222 |
| 0.513011 | 1.337181 |
| 0.514026 | 1.337141 |
| 0.515042 | 1.337101 |
| 0.516061 | 1.337061 |
| 0.517082 | 1.337021 |
| 0.518105 | 1.336982 |
| 0.51913 | 1.336942 |
| 0.520157 | 1.336903 |
| 0.521185 | 1.336865 |
| 0.522216 | 1.336826 |
| 0.523249 | 1.336788 |
| 0.524284 | 1.33675 |
| 0.525321 | 1.336712 |
| 0.52636 | 1.336675 |
| 0.527402 | 1.336638 |
| 0.528445 | 1.336601 |
| 0.52949 | 1.336564 |
| 0.530537 | 1.336527 |
| 0.531587 | 1.336491 |
| 0.532638 | 1.336455 |
| 0.533692 | 1.336419 |
| 0.534748 | 1.336383 |
| 0.535805 | 1.336347 |
| 0.536865 | 1.336312 |
| 0.537927 | 1.336277 |
| 0.538991 | 1.336242 |
| 0.540057 | 1.336207 |
| 0.541126 | 1.336173 |
| 0.542196 | 1.336138 |
| 0.543268 | 1.336104 |
| 0.544343 | 1.33607 |
| 0.54542 | 1.336037 |
| 0.546499 | 1.336003 |
| 0.54758 | 1.33597 |
| 0.548663 | 1.335937 |
| 0.549748 | 1.335904 |
| 0.550835 | 1.335871 |
| 0.551925 | 1.335838 |
| 0.553017 | 1.335806 |
| 0.554111 | 1.335774 |
| 0.555207 | 1.335741 |
| 0.556305 | 1.33571 |
| 0.557405 | 1.335678 |
| 0.558508 | 1.335646 |
| 0.559613 | 1.335615 |
| 0.56072 | 1.335584 |
| 0.561829 | 1.335553 |
| 0.56294 | 1.335522 |
| 0.564054 | 1.335491 |
| 0.565169 | 1.33546 |
| 0.566287 | 1.33543 |
| 0.567407 | 1.3354 |
| 0.56853 | 1.33537 |
| 0.569654 | 1.33534 |
| 0.570781 | 1.33531 |
| 0.57191 | 1.33528 |
| 0.573041 | 1.335251 |
| 0.574175 | 1.335222 |
| 0.575311 | 1.335192 |
| 0.576449 | 1.335163 |
| 0.577589 | 1.335134 |
| 0.578731 | 1.335106 |
| 0.579876 | 1.335077 |
| 0.581023 | 1.335049 |
| 0.582172 | 1.33502 |
| 0.583324 | 1.334992 |
| 0.584478 | 1.334964 |
| 0.585634 | 1.334936 |
| 0.586792 | 1.334908 |
| 0.587953 | 1.33488 |
| 0.589116 | 1.334853 |
| 0.590281 | 1.334825 |
| 0.591449 | 1.334798 |
| 0.592619 | 1.334771 |
| 0.593791 | 1.334744 |
| 0.594966 | 1.334717 |
| 0.596142 | 1.33469 |
| 0.597322 | 1.334663 |
| 0.598503 | 1.334637 |
| 0.599687 | 1.33461 |
| 0.600873 | 1.334584 |
| 0.602062 | 1.334558 |
| 0.603253 | 1.334532 |
| 0.604446 | 1.334506 |
| 0.605641 | 1.33448 |
| 0.606839 | 1.334454 |
| 0.60804 | 1.334428 |
| 0.609243 | 1.334403 |
| 0.610448 | 1.334377 |
| 0.611655 | 1.334352 |
| 0.612865 | 1.334326 |
| 0.614077 | 1.334301 |
| 0.615292 | 1.334276 |
| 0.616509 | 1.334251 |
| 0.617729 | 1.334226 |
| 0.61895 | 1.334201 |
| 0.620175 | 1.334177 |
| 0.621401 | 1.334152 |
| 0.622631 | 1.334127 |
| 0.623862 | 1.334103 |
| 0.625096 | 1.334079 |
| 0.626333 | 1.334054 |
| 0.627572 | 1.33403 |
| 0.628813 | 1.334006 |
| 0.630057 | 1.333982 |
| 0.631303 | 1.333958 |
| 0.632552 | 1.333934 |
| 0.633803 | 1.33391 |
| 0.635057 | 1.333887 |
| 0.636313 | 1.333863 |
| 0.637571 | 1.333839 |
| 0.638833 | 1.333816 |
| 0.640096 | 1.333792 |
| 0.641362 | 1.333769 |
| 0.642631 | 1.333746 |
| 0.643902 | 1.333723 |
| 0.645176 | 1.3337 |
| 0.646452 | 1.333677 |
| 0.647731 | 1.333654 |
| 0.649012 | 1.333631 |
| 0.650296 | 1.333608 |
| 0.651582 | 1.333585 |
| 0.652871 | 1.333562 |
| 0.654162 | 1.33354 |
| 0.655456 | 1.333517 |
| 0.656753 | 1.333494 |
| 0.658052 | 1.333472 |
| 0.659353 | 1.333449 |
| 0.660658 | 1.333427 |
| 0.661965 | 1.333405 |
| 0.663274 | 1.333382 |
| 0.664586 | 1.33336 |
| 0.6659 | 1.333338 |
| 0.667218 | 1.333316 |
| 0.668537 | 1.333294 |
| 0.66986 | 1.333272 |
| 0.671185 | 1.33325 |
| 0.672512 | 1.333228 |
| 0.673843 | 1.333206 |
| 0.675176 | 1.333184 |
| 0.676511 | 1.333163 |
| 0.677849 | 1.333141 |
| 0.67919 | 1.333119 |
| 0.680534 | 1.333098 |
| 0.68188 | 1.333076 |
| 0.683228 | 1.333054 |
| 0.68458 | 1.333033 |
| 0.685934 | 1.333011 |
| 0.687291 | 1.33299 |
| 0.68865 | 1.332969 |
| 0.690013 | 1.332947 |
| 0.691377 | 1.332926 |
| 0.692745 | 1.332905 |
| 0.694115 | 1.332883 |
| 0.695488 | 1.332862 |
| 0.696864 | 1.332841 |
| 0.698242 | 1.33282 |
| 0.699623 | 1.332799 |
| 0.701007 | 1.332777 |
| 0.702394 | 1.332756 |
| 0.703783 | 1.332735 |
| 0.705175 | 1.332714 |
| 0.70657 | 1.332693 |
| 0.707968 | 1.332672 |
| 0.709368 | 1.332651 |
| 0.710771 | 1.33263 |
| 0.712177 | 1.33261 |
| 0.713586 | 1.332589 |
| 0.714998 | 1.332568 |
| 0.716412 | 1.332547 |
| 0.717829 | 1.332526 |
| 0.719249 | 1.332505 |
| 0.720672 | 1.332485 |
| 0.722097 | 1.332464 |
| 0.723525 | 1.332443 |
| 0.724957 | 1.332422 |
| 0.726391 | 1.332402 |
| 0.727827 | 1.332381 |
| 0.729267 | 1.33236 |
| 0.73071 | 1.332339 |
| 0.732155 | 1.332319 |
| 0.733603 | 1.332298 |
| 0.735054 | 1.332277 |
| 0.736508 | 1.332257 |
| 0.737965 | 1.332236 |
| 0.739425 | 1.332215 |
| 0.740887 | 1.332195 |
| 0.742353 | 1.332174 |
| 0.743821 | 1.332154 |
| 0.745293 | 1.332133 |
| 0.746767 | 1.332112 |
| 0.748244 | 1.332092 |
| 0.749724 | 1.332071 |
| 0.751207 | 1.332051 |
| 0.752693 | 1.33203 |
| 0.754182 | 1.332009 |
| 0.755674 | 1.331989 |
| 0.757168 | 1.331968 |
| 0.758666 | 1.331948 |
| 0.760167 | 1.331927 |
| 0.76167 | 1.331906 |
| 0.763177 | 1.331886 |
| 0.764687 | 1.331865 |
| 0.766199 | 1.331845 |
| 0.767715 | 1.331824 |
| 0.769233 | 1.331803 |
| 0.770755 | 1.331783 |
| 0.772279 | 1.331762 |
| 0.773807 | 1.331741 |
| 0.775338 | 1.331721 |
| 0.776871 | 1.3317 |
| 0.778408 | 1.331679 |
| 0.779948 | 1.331659 |
| 0.781491 | 1.331638 |
| 0.783036 | 1.331617 |
| 0.784585 | 1.331596 |
| 0.786137 | 1.331576 |
| 0.787692 | 1.331555 |
| 0.78925 | 1.331534 |
| 0.790811 | 1.331513 |
| 0.792376 | 1.331493 |
| 0.793943 | 1.331472 |
| 0.795513 | 1.331451 |
| 0.797087 | 1.33143 |
| 0.798664 | 1.331409 |
| 0.800243 | 1.331388 |
| 0.801826 | 1.331367 |
| 0.803412 | 1.331346 |
| 0.805002 | 1.331325 |
| 0.806594 | 1.331304 |
| 0.808189 | 1.331283 |
| 0.809788 | 1.331262 |
| 0.81139 | 1.331241 |
| 0.812995 | 1.33122 |
| 0.814603 | 1.331199 |
| 0.816214 | 1.331178 |
| 0.817829 | 1.331157 |
| 0.819446 | 1.331136 |
| 0.821067 | 1.331114 |
| 0.822691 | 1.331093 |
| 0.824319 | 1.331072 |
| 0.825949 | 1.331051 |
| 0.827583 | 1.331029 |
| 0.82922 | 1.331008 |
| 0.83086 | 1.330987 |
| 0.832504 | 1.330965 |
| 0.83415 | 1.330944 |
| 0.8358 | 1.330922 |
| 0.837454 | 1.330901 |
| 0.83911 | 1.330879 |
| 0.84077 | 1.330857 |
| 0.842433 | 1.330836 |
| 0.844099 | 1.330814 |
| 0.845769 | 1.330792 |
| 0.847442 | 1.330771 |
| 0.849118 | 1.330749 |
| 0.850798 | 1.330727 |
| 0.852481 | 1.330705 |
| 0.854167 | 1.330683 |
| 0.855857 | 1.330661 |
| 0.85755 | 1.330639 |
| 0.859246 | 1.330617 |
| 0.860945 | 1.330595 |
| 0.862648 | 1.330573 |
| 0.864355 | 1.330551 |
| 0.866064 | 1.330529 |
| 0.867778 | 1.330507 |
| 0.869494 | 1.330484 |
| 0.871214 | 1.330462 |
| 0.872937 | 1.33044 |
| 0.874664 | 1.330417 |
| 0.876394 | 1.330395 |
| 0.878128 | 1.330372 |
| 0.879865 | 1.33035 |
| 0.881605 | 1.330327 |
| 0.883349 | 1.330304 |
| 0.885096 | 1.330282 |
| 0.886847 | 1.330259 |
| 0.888601 | 1.330236 |
| 0.890359 | 1.330213 |
| 0.89212 | 1.33019 |
| 0.893885 | 1.330167 |
| 0.895653 | 1.330144 |
| 0.897424 | 1.330121 |
| 0.8992 | 1.330098 |
| 0.900978 | 1.330075 |
| 0.90276 | 1.330052 |
| 0.904546 | 1.330028 |
| 0.906335 | 1.330005 |
| 0.908128 | 1.329982 |
| 0.909924 | 1.329958 |
| 0.911724 | 1.329935 |
| 0.913528 | 1.329911 |
| 0.915335 | 1.329887 |
| 0.917145 | 1.329864 |
| 0.918959 | 1.32984 |
| 0.920777 | 1.329816 |
| 0.922598 | 1.329792 |
| 0.924423 | 1.329768 |
| 0.926252 | 1.329744 |
| 0.928084 | 1.32972 |
| 0.92992 | 1.329696 |
| 0.931759 | 1.329672 |
| 0.933602 | 1.329647 |
| 0.935449 | 1.329623 |
| 0.937299 | 1.329599 |
| 0.939153 | 1.329574 |
| 0.941011 | 1.32955 |
| 0.942872 | 1.329525 |
| 0.944737 | 1.3295 |
| 0.946606 | 1.329476 |
| 0.948479 | 1.329451 |
| 0.950355 | 1.329426 |
| 0.952235 | 1.329401 |
| 0.954118 | 1.329376 |
| 0.956005 | 1.329351 |
| 0.957896 | 1.329326 |
| 0.959791 | 1.3293 |
| 0.96169 | 1.329275 |
| 0.963592 | 1.32925 |
| 0.965498 | 1.329224 |
| 0.967408 | 1.329199 |
| 0.969321 | 1.329173 |
| 0.971239 | 1.329147 |
| 0.97316 | 1.329122 |
| 0.975085 | 1.329096 |
| 0.977013 | 1.32907 |
| 0.978946 | 1.329044 |
| 0.980882 | 1.329018 |
| 0.982823 | 1.328992 |
| 0.984767 | 1.328965 |
| 0.986715 | 1.328939 |
| 0.988666 | 1.328913 |
| 0.990622 | 1.328886 |
| 0.992581 | 1.32886 |
| 0.994545 | 1.328833 |
| 0.996512 | 1.328806 |
| 0.998483 | 1.328779 |
| 1.00046 | 1.328753 |
| 1.00244 | 1.328726 |
| 1.00442 | 1.328699 |
| 1.00641 | 1.328671 |
| 1.0084 | 1.328644 |
| 1.01039 | 1.328617 |
| 1.01239 | 1.328589 |
| 1.01439 | 1.328562 |
| 1.0164 | 1.328534 |
| 1.01841 | 1.328507 |
| 1.02042 | 1.328479 |
| 1.02244 | 1.328451 |
| 1.02447 | 1.328423 |
| 1.02649 | 1.328395 |
| 1.02852 | 1.328367 |
| 1.03056 | 1.328339 |
| 1.0326 | 1.32831 |
| 1.03464 | 1.328282 |
| 1.03668 | 1.328253 |
| 1.03874 | 1.328225 |
| 1.04079 | 1.328196 |
| 1.04285 | 1.328167 |
| 1.04491 | 1.328138 |
| 1.04698 | 1.328109 |
| 1.04905 | 1.32808 |
| 1.05112 | 1.328051 |
| 1.0532 | 1.328022 |
| 1.05529 | 1.327993 |
| 1.05737 | 1.327963 |
| 1.05947 | 1.327934 |
| 1.06156 | 1.327904 |
| 1.06366 | 1.327874 |
| 1.06576 | 1.327844 |
| 1.06787 | 1.327814 |
| 1.06999 | 1.327784 |
| 1.0721 | 1.327754 |
| 1.07422 | 1.327724 |
| 1.07635 | 1.327693 |
| 1.07848 | 1.327663 |
| 1.08061 | 1.327632 |
| 1.08275 | 1.327601 |
| 1.08489 | 1.327571 |
| 1.08703 | 1.32754 |
| 1.08919 | 1.327509 |
| 1.09134 | 1.327477 |
| 1.0935 | 1.327446 |
| 1.09566 | 1.327415 |
| 1.09783 | 1.327383 |
| 1.1 | 1.327352 |
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
- —
DMEM (Sigma-Aldrich) supplemented with 10% fetal bovine serum (FBS), 2 mM glutamine, 1 mM sodium pyruvate, and 1% penicillin-streptomycin. 22 °C.