Optical constants
Refractive index of Basal Medium Eagle (BME, DMEM)
Barroso et al. 2019: DMEM; 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
- 1.33594
- Extinction coefficient k
- 0
- Permittivity ε1
- 1.78474
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0243985 µm⁻¹
- Group index ng
- 1.35028
- Group velocity dispersion
- 53.1174 fs²/mm
- Dispersion parameter D
- -289.784 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; n 0.5–1.1 µm
bme = ls.fetch_refractiveindex("other", "BME", "Barroso", 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_c06600660564/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).
# ... 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 | 1.7878 |
| C2 | -0.002 |
| C3 | -2.0 |
| C4 | 0.0011 |
| C5 | -4.0 |
| C6 | -0.0188 |
| 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 | 1.338917 |
| 0.500989 | 1.338871 |
| 0.50198 | 1.338824 |
| 0.502973 | 1.338778 |
| 0.503968 | 1.338732 |
| 0.504965 | 1.338686 |
| 0.505964 | 1.338641 |
| 0.506964 | 1.338596 |
| 0.507967 | 1.338551 |
| 0.508972 | 1.338507 |
| 0.509979 | 1.338463 |
| 0.510987 | 1.338419 |
| 0.511998 | 1.338376 |
| 0.513011 | 1.338333 |
| 0.514026 | 1.33829 |
| 0.515042 | 1.338247 |
| 0.516061 | 1.338205 |
| 0.517082 | 1.338163 |
| 0.518105 | 1.338121 |
| 0.51913 | 1.33808 |
| 0.520157 | 1.338039 |
| 0.521185 | 1.337998 |
| 0.522216 | 1.337957 |
| 0.523249 | 1.337917 |
| 0.524284 | 1.337877 |
| 0.525321 | 1.337837 |
| 0.52636 | 1.337798 |
| 0.527402 | 1.337759 |
| 0.528445 | 1.33772 |
| 0.52949 | 1.337681 |
| 0.530537 | 1.337642 |
| 0.531587 | 1.337604 |
| 0.532638 | 1.337566 |
| 0.533692 | 1.337529 |
| 0.534748 | 1.337491 |
| 0.535805 | 1.337454 |
| 0.536865 | 1.337417 |
| 0.537927 | 1.33738 |
| 0.538991 | 1.337343 |
| 0.540057 | 1.337307 |
| 0.541126 | 1.337271 |
| 0.542196 | 1.337235 |
| 0.543268 | 1.3372 |
| 0.544343 | 1.337164 |
| 0.54542 | 1.337129 |
| 0.546499 | 1.337094 |
| 0.54758 | 1.337059 |
| 0.548663 | 1.337025 |
| 0.549748 | 1.336991 |
| 0.550835 | 1.336956 |
| 0.551925 | 1.336923 |
| 0.553017 | 1.336889 |
| 0.554111 | 1.336855 |
| 0.555207 | 1.336822 |
| 0.556305 | 1.336789 |
| 0.557405 | 1.336756 |
| 0.558508 | 1.336723 |
| 0.559613 | 1.336691 |
| 0.56072 | 1.336658 |
| 0.561829 | 1.336626 |
| 0.56294 | 1.336594 |
| 0.564054 | 1.336563 |
| 0.565169 | 1.336531 |
| 0.566287 | 1.3365 |
| 0.567407 | 1.336468 |
| 0.56853 | 1.336437 |
| 0.569654 | 1.336406 |
| 0.570781 | 1.336376 |
| 0.57191 | 1.336345 |
| 0.573041 | 1.336315 |
| 0.574175 | 1.336285 |
| 0.575311 | 1.336254 |
| 0.576449 | 1.336225 |
| 0.577589 | 1.336195 |
| 0.578731 | 1.336165 |
| 0.579876 | 1.336136 |
| 0.581023 | 1.336107 |
| 0.582172 | 1.336078 |
| 0.583324 | 1.336049 |
| 0.584478 | 1.33602 |
| 0.585634 | 1.335991 |
| 0.586792 | 1.335963 |
| 0.587953 | 1.335934 |
| 0.589116 | 1.335906 |
| 0.590281 | 1.335878 |
| 0.591449 | 1.33585 |
| 0.592619 | 1.335822 |
| 0.593791 | 1.335795 |
| 0.594966 | 1.335767 |
| 0.596142 | 1.33574 |
| 0.597322 | 1.335712 |
| 0.598503 | 1.335685 |
| 0.599687 | 1.335658 |
| 0.600873 | 1.335631 |
| 0.602062 | 1.335605 |
| 0.603253 | 1.335578 |
| 0.604446 | 1.335552 |
| 0.605641 | 1.335525 |
| 0.606839 | 1.335499 |
| 0.60804 | 1.335473 |
| 0.609243 | 1.335447 |
| 0.610448 | 1.335421 |
| 0.611655 | 1.335395 |
| 0.612865 | 1.335369 |
| 0.614077 | 1.335344 |
| 0.615292 | 1.335318 |
| 0.616509 | 1.335293 |
| 0.617729 | 1.335268 |
| 0.61895 | 1.335242 |
| 0.620175 | 1.335217 |
| 0.621401 | 1.335192 |
| 0.622631 | 1.335167 |
| 0.623862 | 1.335143 |
| 0.625096 | 1.335118 |
| 0.626333 | 1.335093 |
| 0.627572 | 1.335069 |
| 0.628813 | 1.335045 |
| 0.630057 | 1.33502 |
| 0.631303 | 1.334996 |
| 0.632552 | 1.334972 |
| 0.633803 | 1.334948 |
| 0.635057 | 1.334924 |
| 0.636313 | 1.3349 |
| 0.637571 | 1.334876 |
| 0.638833 | 1.334853 |
| 0.640096 | 1.334829 |
| 0.641362 | 1.334805 |
| 0.642631 | 1.334782 |
| 0.643902 | 1.334759 |
| 0.645176 | 1.334735 |
| 0.646452 | 1.334712 |
| 0.647731 | 1.334689 |
| 0.649012 | 1.334666 |
| 0.650296 | 1.334643 |
| 0.651582 | 1.33462 |
| 0.652871 | 1.334597 |
| 0.654162 | 1.334574 |
| 0.655456 | 1.334551 |
| 0.656753 | 1.334529 |
| 0.658052 | 1.334506 |
| 0.659353 | 1.334484 |
| 0.660658 | 1.334461 |
| 0.661965 | 1.334439 |
| 0.663274 | 1.334416 |
| 0.664586 | 1.334394 |
| 0.6659 | 1.334372 |
| 0.667218 | 1.334349 |
| 0.668537 | 1.334327 |
| 0.66986 | 1.334305 |
| 0.671185 | 1.334283 |
| 0.672512 | 1.334261 |
| 0.673843 | 1.334239 |
| 0.675176 | 1.334217 |
| 0.676511 | 1.334195 |
| 0.677849 | 1.334174 |
| 0.67919 | 1.334152 |
| 0.680534 | 1.33413 |
| 0.68188 | 1.334108 |
| 0.683228 | 1.334087 |
| 0.68458 | 1.334065 |
| 0.685934 | 1.334044 |
| 0.687291 | 1.334022 |
| 0.68865 | 1.334001 |
| 0.690013 | 1.333979 |
| 0.691377 | 1.333958 |
| 0.692745 | 1.333937 |
| 0.694115 | 1.333915 |
| 0.695488 | 1.333894 |
| 0.696864 | 1.333873 |
| 0.698242 | 1.333851 |
| 0.699623 | 1.33383 |
| 0.701007 | 1.333809 |
| 0.702394 | 1.333788 |
| 0.703783 | 1.333767 |
| 0.705175 | 1.333746 |
| 0.70657 | 1.333725 |
| 0.707968 | 1.333704 |
| 0.709368 | 1.333683 |
| 0.710771 | 1.333662 |
| 0.712177 | 1.333641 |
| 0.713586 | 1.33362 |
| 0.714998 | 1.333599 |
| 0.716412 | 1.333578 |
| 0.717829 | 1.333557 |
| 0.719249 | 1.333536 |
| 0.720672 | 1.333515 |
| 0.722097 | 1.333494 |
| 0.723525 | 1.333474 |
| 0.724957 | 1.333453 |
| 0.726391 | 1.333432 |
| 0.727827 | 1.333411 |
| 0.729267 | 1.33339 |
| 0.73071 | 1.33337 |
| 0.732155 | 1.333349 |
| 0.733603 | 1.333328 |
| 0.735054 | 1.333307 |
| 0.736508 | 1.333287 |
| 0.737965 | 1.333266 |
| 0.739425 | 1.333245 |
| 0.740887 | 1.333225 |
| 0.742353 | 1.333204 |
| 0.743821 | 1.333183 |
| 0.745293 | 1.333162 |
| 0.746767 | 1.333142 |
| 0.748244 | 1.333121 |
| 0.749724 | 1.3331 |
| 0.751207 | 1.33308 |
| 0.752693 | 1.333059 |
| 0.754182 | 1.333038 |
| 0.755674 | 1.333017 |
| 0.757168 | 1.332997 |
| 0.758666 | 1.332976 |
| 0.760167 | 1.332955 |
| 0.76167 | 1.332934 |
| 0.763177 | 1.332914 |
| 0.764687 | 1.332893 |
| 0.766199 | 1.332872 |
| 0.767715 | 1.332851 |
| 0.769233 | 1.332831 |
| 0.770755 | 1.33281 |
| 0.772279 | 1.332789 |
| 0.773807 | 1.332768 |
| 0.775338 | 1.332747 |
| 0.776871 | 1.332726 |
| 0.778408 | 1.332706 |
| 0.779948 | 1.332685 |
| 0.781491 | 1.332664 |
| 0.783036 | 1.332643 |
| 0.784585 | 1.332622 |
| 0.786137 | 1.332601 |
| 0.787692 | 1.33258 |
| 0.78925 | 1.332559 |
| 0.790811 | 1.332538 |
| 0.792376 | 1.332517 |
| 0.793943 | 1.332496 |
| 0.795513 | 1.332475 |
| 0.797087 | 1.332454 |
| 0.798664 | 1.332432 |
| 0.800243 | 1.332411 |
| 0.801826 | 1.33239 |
| 0.803412 | 1.332369 |
| 0.805002 | 1.332348 |
| 0.806594 | 1.332326 |
| 0.808189 | 1.332305 |
| 0.809788 | 1.332284 |
| 0.81139 | 1.332262 |
| 0.812995 | 1.332241 |
| 0.814603 | 1.33222 |
| 0.816214 | 1.332198 |
| 0.817829 | 1.332177 |
| 0.819446 | 1.332155 |
| 0.821067 | 1.332133 |
| 0.822691 | 1.332112 |
| 0.824319 | 1.33209 |
| 0.825949 | 1.332069 |
| 0.827583 | 1.332047 |
| 0.82922 | 1.332025 |
| 0.83086 | 1.332003 |
| 0.832504 | 1.331982 |
| 0.83415 | 1.33196 |
| 0.8358 | 1.331938 |
| 0.837454 | 1.331916 |
| 0.83911 | 1.331894 |
| 0.84077 | 1.331872 |
| 0.842433 | 1.33185 |
| 0.844099 | 1.331828 |
| 0.845769 | 1.331805 |
| 0.847442 | 1.331783 |
| 0.849118 | 1.331761 |
| 0.850798 | 1.331739 |
| 0.852481 | 1.331716 |
| 0.854167 | 1.331694 |
| 0.855857 | 1.331671 |
| 0.85755 | 1.331649 |
| 0.859246 | 1.331626 |
| 0.860945 | 1.331604 |
| 0.862648 | 1.331581 |
| 0.864355 | 1.331559 |
| 0.866064 | 1.331536 |
| 0.867778 | 1.331513 |
| 0.869494 | 1.33149 |
| 0.871214 | 1.331467 |
| 0.872937 | 1.331444 |
| 0.874664 | 1.331421 |
| 0.876394 | 1.331398 |
| 0.878128 | 1.331375 |
| 0.879865 | 1.331352 |
| 0.881605 | 1.331329 |
| 0.883349 | 1.331305 |
| 0.885096 | 1.331282 |
| 0.886847 | 1.331259 |
| 0.888601 | 1.331235 |
| 0.890359 | 1.331211 |
| 0.89212 | 1.331188 |
| 0.893885 | 1.331164 |
| 0.895653 | 1.33114 |
| 0.897424 | 1.331117 |
| 0.8992 | 1.331093 |
| 0.900978 | 1.331069 |
| 0.90276 | 1.331045 |
| 0.904546 | 1.331021 |
| 0.906335 | 1.330997 |
| 0.908128 | 1.330973 |
| 0.909924 | 1.330948 |
| 0.911724 | 1.330924 |
| 0.913528 | 1.3309 |
| 0.915335 | 1.330875 |
| 0.917145 | 1.330851 |
| 0.918959 | 1.330826 |
| 0.920777 | 1.330801 |
| 0.922598 | 1.330777 |
| 0.924423 | 1.330752 |
| 0.926252 | 1.330727 |
| 0.928084 | 1.330702 |
| 0.92992 | 1.330677 |
| 0.931759 | 1.330652 |
| 0.933602 | 1.330627 |
| 0.935449 | 1.330601 |
| 0.937299 | 1.330576 |
| 0.939153 | 1.330551 |
| 0.941011 | 1.330525 |
| 0.942872 | 1.330499 |
| 0.944737 | 1.330474 |
| 0.946606 | 1.330448 |
| 0.948479 | 1.330422 |
| 0.950355 | 1.330396 |
| 0.952235 | 1.33037 |
| 0.954118 | 1.330344 |
| 0.956005 | 1.330318 |
| 0.957896 | 1.330292 |
| 0.959791 | 1.330266 |
| 0.96169 | 1.330239 |
| 0.963592 | 1.330213 |
| 0.965498 | 1.330186 |
| 0.967408 | 1.33016 |
| 0.969321 | 1.330133 |
| 0.971239 | 1.330106 |
| 0.97316 | 1.330079 |
| 0.975085 | 1.330052 |
| 0.977013 | 1.330025 |
| 0.978946 | 1.329998 |
| 0.980882 | 1.32997 |
| 0.982823 | 1.329943 |
| 0.984767 | 1.329916 |
| 0.986715 | 1.329888 |
| 0.988666 | 1.32986 |
| 0.990622 | 1.329833 |
| 0.992581 | 1.329805 |
| 0.994545 | 1.329777 |
| 0.996512 | 1.329749 |
| 0.998483 | 1.329721 |
| 1.00046 | 1.329693 |
| 1.00244 | 1.329664 |
| 1.00442 | 1.329636 |
| 1.00641 | 1.329607 |
| 1.0084 | 1.329579 |
| 1.01039 | 1.32955 |
| 1.01239 | 1.329521 |
| 1.01439 | 1.329492 |
| 1.0164 | 1.329463 |
| 1.01841 | 1.329434 |
| 1.02042 | 1.329405 |
| 1.02244 | 1.329376 |
| 1.02447 | 1.329346 |
| 1.02649 | 1.329317 |
| 1.02852 | 1.329287 |
| 1.03056 | 1.329258 |
| 1.0326 | 1.329228 |
| 1.03464 | 1.329198 |
| 1.03668 | 1.329168 |
| 1.03874 | 1.329138 |
| 1.04079 | 1.329107 |
| 1.04285 | 1.329077 |
| 1.04491 | 1.329046 |
| 1.04698 | 1.329016 |
| 1.04905 | 1.328985 |
| 1.05112 | 1.328954 |
| 1.0532 | 1.328923 |
| 1.05529 | 1.328892 |
| 1.05737 | 1.328861 |
| 1.05947 | 1.32883 |
| 1.06156 | 1.328799 |
| 1.06366 | 1.328767 |
| 1.06576 | 1.328735 |
| 1.06787 | 1.328704 |
| 1.06999 | 1.328672 |
| 1.0721 | 1.32864 |
| 1.07422 | 1.328608 |
| 1.07635 | 1.328576 |
| 1.07848 | 1.328543 |
| 1.08061 | 1.328511 |
| 1.08275 | 1.328478 |
| 1.08489 | 1.328446 |
| 1.08703 | 1.328413 |
| 1.08919 | 1.32838 |
| 1.09134 | 1.328347 |
| 1.0935 | 1.328314 |
| 1.09566 | 1.32828 |
| 1.09783 | 1.328247 |
| 1.1 | 1.328213 |
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
- —
Dulbecco’s Modified Eagle’s Medium (DMEM, Sigma-Aldrich) supplemented with 2 mM glutamine, 1 mM sodium pyruvate, and 1% penicillin-streptomycin. 22 °C.