Optical constants
Refractive index of LaAlO3 (Lanthanum aluminate)
Chernova et al. 2017: n,k 0.14–1.67 µm
- Data
- tabulated nk
- Range
- 0.1409–1.675 µm
- Points
- 100
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.06145
- Extinction coefficient k
- 9.28497e-23
- Permittivity ε1
- 4.24957
- Permittivity ε2
- 3.82810e-22
- Absorption coefficient α
- 1.98568e-17 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 1.00721e+24 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.116079 µm⁻¹
- Group index ng
- 2.12966
- 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
# LaAlO3 (Lanthanum aluminate): Chernova et al. 2017: n,k 0.14–1.67 µm
laalo3 = ls.fetch_refractiveindex("main", "LaAlO3", "Chernova", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(laalo3.range_nm) # (140.89, 1675.5) nm
eps = laalo3.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_bdd96ebe50dc/lightsmith"
laalo3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(laalo3.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (laalo3/chernova-2017).
# ... load laalo3 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=laalo3)],
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.
Comments and conditions
References
[Calculation script (Python)]
- doi:10.1364/ome.7.003844 Optical NIR-VIS-VUV constants of advanced substrates for thin-film devices, Optical Materials Express (2017)
Cite
E. Chernova et al.. Optical NIR-VIS-VUV constants of advanced substrates for thin-film devices. Optical Materials Express, 7, 3844 (2017), doi:10.1364/ome.7.003844; [Calculation script (Python)]; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
100 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.14089 | 2.4603 | 1.5298 |
| 0.14221 | 2.4902 | 1.5345 |
| 0.14355 | 2.5306 | 1.5383 |
| 0.14491 | 2.58 | 1.5376 |
| 0.14631 | 2.6355 | 1.5298 |
| 0.14772 | 2.6935 | 1.5151 |
| 0.14917 | 2.7518 | 1.496 |
| 0.15065 | 2.8121 | 1.4768 |
| 0.15215 | 2.8815 | 1.4585 |
| 0.15369 | 2.9687 | 1.4335 |
| 0.15525 | 3.0741 | 1.3847 |
| 0.15685 | 3.1826 | 1.2961 |
| 0.15849 | 3.2667 | 1.1654 |
| 0.16015 | 3.2992 | 1.0124 |
| 0.16185 | 3.2721 | 0.88088 |
| 0.16359 | 3.2274 | 0.81863 |
| 0.16537 | 3.25 | 0.80005 |
| 0.16719 | 3.3405 | 0.71346 |
| 0.16904 | 3.3832 | 0.53086 |
| 0.17094 | 3.3202 | 0.34541 |
| 0.17288 | 3.2053 | 0.22721 |
| 0.17486 | 3.0976 | 0.16605 |
| 0.1769 | 3.0103 | 0.13004 |
| 0.17897 | 2.9375 | 0.10458 |
| 0.1811 | 2.8743 | 0.085665 |
| 0.18328 | 2.8186 | 0.071629 |
| 0.18552 | 2.7695 | 0.061068 |
| 0.1878 | 2.726 | 0.052712 |
| 0.19015 | 2.6872 | 0.045615 |
| 0.19255 | 2.6521 | 0.039137 |
| 0.19502 | 2.6199 | 0.032979 |
| 0.19755 | 2.5899 | 0.027085 |
| 0.20014 | 2.5615 | 0.021561 |
| 0.20281 | 2.5345 | 0.01657 |
| 0.20555 | 2.5088 | 0.012262 |
| 0.20836 | 2.4842 | 0.0087207 |
| 0.21125 | 2.4609 | 0.0059524 |
| 0.21422 | 2.4389 | 0.0038971 |
| 0.21728 | 2.4181 | 0.0024441 |
| 0.22042 | 2.3986 | 0.0014698 |
| 0.22366 | 2.3803 | 0.00084534 |
| 0.22699 | 2.3632 | 0.00046655 |
| 0.23043 | 2.3471 | 0.00024598 |
| 0.23397 | 2.332 | 0.00012449 |
| 0.23762 | 2.3177 | 6.0186e-05 |
| 0.24139 | 2.3041 | 2.7912e-05 |
| 0.24527 | 2.2913 | 1.2377e-05 |
| 0.24929 | 2.2791 | 5.2576e-06 |
| 0.25344 | 2.2675 | 2.1392e-06 |
| 0.25773 | 2.2565 | 8.3205e-07 |
| 0.26216 | 2.2459 | 3.108e-07 |
| 0.26675 | 2.2359 | 1.1067e-07 |
| 0.27151 | 2.2262 | 3.798e-08 |
| 0.27644 | 2.217 | 1.2383e-08 |
| 0.28155 | 2.2081 | 3.9092e-09 |
| 0.28685 | 2.1996 | 1.1728e-09 |
| 0.29236 | 2.1915 | 3.4029e-10 |
| 0.29808 | 2.1837 | 9.4407e-11 |
| 0.30403 | 2.1762 | 2.5358e-11 |
| 0.31023 | 2.169 | 6.6e-12 |
| 0.31668 | 2.1621 | 1.6819e-12 |
| 0.3234 | 2.1554 | 4.2915e-13 |
| 0.33042 | 2.149 | 1.1152e-13 |
| 0.33775 | 2.1428 | 3.0969e-14 |
| 0.34541 | 2.1369 | 9.2889e-15 |
| 0.35342 | 2.1312 | 3.0893e-15 |
| 0.36182 | 2.1257 | 1.0983e-15 |
| 0.37063 | 2.1204 | 4.1214e-16 |
| 0.37987 | 2.1153 | 1.5731e-16 |
| 0.38959 | 2.1105 | 6.0631e-17 |
| 0.39982 | 2.1058 | 2.3253e-17 |
| 0.4106 | 2.1012 | 8.8602e-18 |
| 0.42198 | 2.0969 | 3.3449e-18 |
| 0.434 | 2.0927 | 1.2472e-18 |
| 0.44673 | 2.0887 | 4.6119e-19 |
| 0.46023 | 2.0848 | 1.6784e-19 |
| 0.47458 | 2.0811 | 6.0729e-20 |
| 0.48984 | 2.0776 | 2.1557e-20 |
| 0.50612 | 2.0742 | 7.6297e-21 |
| 0.52352 | 2.0709 | 2.6488e-21 |
| 0.54216 | 2.0678 | 9.1429e-22 |
| 0.56217 | 2.0648 | 3.1047e-22 |
| 0.58372 | 2.0619 | 1.0449e-22 |
| 0.60698 | 2.0592 | 3.4708e-23 |
| 0.63218 | 2.0566 | 1.1388e-23 |
| 0.65956 | 2.0541 | 3.7004e-24 |
| 0.68942 | 2.0518 | 1.1836e-24 |
| 0.72211 | 2.0495 | 3.7626e-25 |
| 0.75806 | 2.0474 | 1.1731e-25 |
| 0.79777 | 2.0454 | 3.6485e-26 |
| 0.84187 | 2.0435 | 1.1106e-26 |
| 0.89113 | 2.0417 | 3.3739e-27 |
| 0.94652 | 2.04 | 1.0049e-27 |
| 1.0092 | 2.0385 | 2.9752e-28 |
| 1.0809 | 2.037 | 8.6718e-29 |
| 1.1635 | 2.0357 | 2.502e-29 |
| 1.2597 | 2.0344 | 7.1366e-30 |
| 1.3733 | 2.0333 | 2.0063e-30 |
| 1.5094 | 2.0322 | 5.601e-31 |
| 1.6755 | 2.0313 | 1.5342e-31 |
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
- —
Lanthanum aluminate, LaAlO3 (LAO)