Optical constants
Refractive index of BaTiO3 (Barium titanate)
Timpu et al. 2019: n 0.4–0.8 µm
- Data
- tabulated n
- Range
- 0.35–0.8 µm
- Points
- 150
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.29432
- Extinction coefficient k
- 0
- Permittivity ε1
- 5.26392
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.529801 µm⁻¹
- Group index ng
- 2.60564
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — 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
# BaTiO3 (Barium titanate): Timpu et al. 2019: n 0.4–0.8 µm
batio3 = ls.fetch_refractiveindex("main", "BaTiO3", "Timpu", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(batio3.range_nm) # (350, 800) nm
eps = batio3.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_bd723a1b866e/lightsmith"
batio3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(batio3.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (batio3/timpu-2019).
# ... load batio3 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=batio3)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=800, 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.
Comments and conditions
Conditions
- film thickness
- 220e-9
- substrate
- glass
- deposition temperature
- 923
References
- doi:10.1002/adom.201900936 Enhanced Nonlinear Yield from Barium Titanate Metasurface Down to the Near Ultraviolet, Advanced Optical Materials (2019)
Cite
Flavia Timpu et al.. Enhanced Nonlinear Yield from Barium Titanate Metasurface Down to the Near Ultraviolet. Advanced Optical Materials, 7, 1900936 (2019), doi:10.1002/adom.201900936; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
150 rows as published| λ (µm) | n |
|---|---|
| 0.35 | 2.6629 |
| 0.35302 | 2.6568 |
| 0.35604 | 2.6447 |
| 0.35906 | 2.6329 |
| 0.36208 | 2.6201 |
| 0.3651 | 2.6087 |
| 0.36812 | 2.5983 |
| 0.37114 | 2.5882 |
| 0.37416 | 2.5777 |
| 0.37718 | 2.5679 |
| 0.3802 | 2.5586 |
| 0.38322 | 2.55 |
| 0.38624 | 2.5413 |
| 0.38926 | 2.5327 |
| 0.39228 | 2.5254 |
| 0.3953 | 2.5181 |
| 0.39832 | 2.5108 |
| 0.40134 | 2.5039 |
| 0.40436 | 2.4981 |
| 0.40738 | 2.4922 |
| 0.4104 | 2.4858 |
| 0.41342 | 2.4794 |
| 0.41644 | 2.4732 |
| 0.41946 | 2.467 |
| 0.42248 | 2.4615 |
| 0.4255 | 2.456 |
| 0.42852 | 2.4506 |
| 0.43154 | 2.4452 |
| 0.43456 | 2.44 |
| 0.43758 | 2.435 |
| 0.4406 | 2.4301 |
| 0.44362 | 2.4256 |
| 0.44664 | 2.421 |
| 0.44966 | 2.4164 |
| 0.45268 | 2.4119 |
| 0.4557 | 2.4079 |
| 0.45872 | 2.404 |
| 0.46174 | 2.4 |
| 0.46477 | 2.396 |
| 0.46779 | 2.3922 |
| 0.47081 | 2.3886 |
| 0.47383 | 2.385 |
| 0.47685 | 2.3815 |
| 0.47987 | 2.378 |
| 0.48289 | 2.3746 |
| 0.48591 | 2.3713 |
| 0.48893 | 2.3681 |
| 0.49195 | 2.365 |
| 0.49497 | 2.362 |
| 0.49799 | 2.3589 |
| 0.50101 | 2.356 |
| 0.50403 | 2.3531 |
| 0.50705 | 2.3504 |
| 0.51007 | 2.3478 |
| 0.51309 | 2.3452 |
| 0.51611 | 2.3424 |
| 0.51913 | 2.3398 |
| 0.52215 | 2.3375 |
| 0.52517 | 2.3352 |
| 0.52819 | 2.3329 |
| 0.53121 | 2.3305 |
| 0.53423 | 2.3281 |
| 0.53725 | 2.3258 |
| 0.54027 | 2.3236 |
| 0.54329 | 2.3215 |
| 0.54631 | 2.3194 |
| 0.54933 | 2.3173 |
| 0.55235 | 2.3153 |
| 0.55537 | 2.3134 |
| 0.55839 | 2.3114 |
| 0.56141 | 2.3094 |
| 0.56443 | 2.3075 |
| 0.56745 | 2.3056 |
| 0.57047 | 2.3038 |
| 0.57349 | 2.3022 |
| 0.57651 | 2.3005 |
| 0.57953 | 2.2988 |
| 0.58255 | 2.297 |
| 0.58557 | 2.2954 |
| 0.58859 | 2.2938 |
| 0.59161 | 2.2923 |
| 0.59463 | 2.2908 |
| 0.59765 | 2.2892 |
| 0.60067 | 2.2875 |
| 0.60369 | 2.2858 |
| 0.60671 | 2.2846 |
| 0.60973 | 2.2833 |
| 0.61275 | 2.282 |
| 0.61577 | 2.2806 |
| 0.61879 | 2.2794 |
| 0.62181 | 2.2782 |
| 0.62483 | 2.2769 |
| 0.62785 | 2.2755 |
| 0.63087 | 2.2741 |
| 0.63389 | 2.2727 |
| 0.63691 | 2.2714 |
| 0.63993 | 2.2703 |
| 0.64295 | 2.2693 |
| 0.64597 | 2.2681 |
| 0.64899 | 2.267 |
| 0.65201 | 2.2659 |
| 0.65503 | 2.2647 |
| 0.65805 | 2.2636 |
| 0.66107 | 2.2624 |
| 0.66409 | 2.2614 |
| 0.66711 | 2.2604 |
| 0.67013 | 2.2594 |
| 0.67315 | 2.2584 |
| 0.67617 | 2.2574 |
| 0.67919 | 2.2564 |
| 0.68221 | 2.2554 |
| 0.68523 | 2.2545 |
| 0.68826 | 2.2536 |
| 0.69128 | 2.2525 |
| 0.6943 | 2.2513 |
| 0.69732 | 2.2506 |
| 0.70034 | 2.25 |
| 0.70336 | 2.2492 |
| 0.70638 | 2.2482 |
| 0.7094 | 2.2472 |
| 0.71242 | 2.2464 |
| 0.71544 | 2.2456 |
| 0.71846 | 2.2448 |
| 0.72148 | 2.2441 |
| 0.7245 | 2.2432 |
| 0.72752 | 2.2424 |
| 0.73054 | 2.2416 |
| 0.73356 | 2.2409 |
| 0.73658 | 2.2403 |
| 0.7396 | 2.2398 |
| 0.74262 | 2.2389 |
| 0.74564 | 2.2379 |
| 0.74866 | 2.2371 |
| 0.75168 | 2.2364 |
| 0.7547 | 2.2358 |
| 0.75772 | 2.2353 |
| 0.76074 | 2.2348 |
| 0.76376 | 2.2339 |
| 0.76678 | 2.2331 |
| 0.7698 | 2.2323 |
| 0.77282 | 2.2315 |
| 0.77584 | 2.231 |
| 0.77886 | 2.2306 |
| 0.78188 | 2.2301 |
| 0.7849 | 2.2296 |
| 0.78792 | 2.229 |
| 0.79094 | 2.2283 |
| 0.79396 | 2.2278 |
| 0.79698 | 2.2275 |
| 0.8 | 2.2274 |
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
- —
Pulsed laser deposition (PLD) grown BaTiO3.