Optical constants
Refractive index of AlN-Al2O3 (Aluminium oxynitride, ALON)
Hartnett et al. 1998: 5.88 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
- 1.78074
- Extinction coefficient k
- 5.44853e-07
- Permittivity ε1
- 3.17102
- Permittivity ε2
- 1.94048e-06
- Absorption coefficient α
- 0.116522 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 1.71642e+08 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.14 µm⁻¹
- Group index ng
- 1.863
- 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: 5.88 at.% N; n,k 0.24–5.6 µm
aln_al2o3 = ls.fetch_refractiveindex("other", "AlN-Al2O3", "Hartnett-5.88", 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_8b8775a4dd28/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-1998-5-88).
# ... 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 | 1.914 | 5.961e-06 |
| 0.34 | 1.825 | 5.249e-07 |
| 0.4 | 1.807 | 4.806e-07 |
| 0.6 | 1.779 | 5.491e-07 |
| 1.0 | 1.749 | 6.446e-07 |
| 2.8 | 1.722 | 1.047e-06 |
| 3.4 | 1.706 | 9.47e-07 |
| 4.0 | 1.685 | 5.125e-06 |
| 4.6 | 1.66 | 2.676e-05 |
| 5.0 | 1.653 | 6.271e-05 |
| 5.4 | 1.607 | 0.0003044 |
| 5.6 | 1.586 | 0.0003686 |
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: 5.88 at.%