Optical constants
Refractive index of AlN-Al2O3 (Aluminium oxynitride, ALON)
Hartnett et al. 1998: 6.53 at.% N; n,k 0.24–5.6 µm
- Data
- tabulated nk
- Range
- 0.24–5.6 µm
- Points
- 12
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.77211
- Extinction coefficient k
- 6.05279e-07
- Permittivity ε1
- 3.14037
- Permittivity ε2
- 2.14524e-06
- Absorption coefficient α
- 0.129445 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 1.54506e+08 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.17 µm⁻¹
- Group index ng
- 1.872
- 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
# AlN-Al2O3 (Aluminium oxynitride, ALON): Hartnett et al. 1998: 6.53 at.% N; n,k 0.24–5.6 µm
aln_al2o3 = ls.fetch_refractiveindex("other", "AlN-Al2O3", "Hartnett-6.53", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(aln_al2o3.range_nm) # (240, 5600) nm
eps = aln_al2o3.eps([633]) # complex permittivityDownloads 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_4b5b90ad44ae/lightsmith"
aln_al2o3 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(aln_al2o3.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (aln-al2o3/hartnett-1998-6-53).
# ... load aln_al2o3 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=aln_al2o3)],
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 wavelengthSame 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
- doi:10.1016/s1350-4495(98)00007-3 Optical properties of ALON (aluminum oxynitride), Infrared Physics & Technology (1998)
Cite
T.M Hartnett, S.D Bernstein, E.A Maguire and R.W Tustison. Optical properties of ALON (aluminum oxynitride). Infrared Physics & Technology, 39, 203-211 (1998), doi:10.1016/s1350-4495(98)00007-3; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
12 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.24 | 1.907 | 5.466e-06 |
| 0.34 | 1.82 | 5.6278e-07 |
| 0.4 | 1.804 | 5.157e-07 |
| 0.6 | 1.77 | 6.112e-07 |
| 1.0 | 1.748 | 6.685e-07 |
| 2.8 | 1.722 | 2.406e-06 |
| 3.4 | 1.709 | 1.19e-06 |
| 4.0 | 1.692 | 5.0611e-06 |
| 4.6 | 1.671 | 2.669e-05 |
| 5.0 | 1.656 | 6.358e-05 |
| 5.4 | 1.618 | 0.0003137 |
| 5.6 | 1.604 | 0.0003736 |
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
- —
Nitrogen content: 6.53 at.%