Optical constants
Refractive index of Al (Aluminium)
Mathewson and Myers 1971: n,k 0.496–1.77 µm
- Data
- tabulated nk
- Range
- 0.4959–1.771 µm
- Points
- 37
- Temperature
- 298 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.20456
- Extinction coefficient k
- 6.89492
- Permittivity ε1
- -46.0889
- Permittivity ε2
- 16.6107
- Absorption coefficient α
- 1.47454e+06 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 13.5635 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 5.44647 µm⁻¹
- Group index ng
- -1.99578
- 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
# Al (Aluminium): Mathewson and Myers 1971: n,k 0.496–1.77 µm
al = ls.fetch_refractiveindex("main", "Al", "Mathewson", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(al.range_nm) # (495.94, 1771.2) nm
eps = al.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_94cc1a67a046/lightsmith"
al = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(al.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (al/mathewson-myers-1971).
# ... load al as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=al)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=496, 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
Conditions
- temperature
- 298 K
References
- doi:10.1088/0031-8949/4/6/009 Absolute Values of the Optical Constants of Some Pure Metals, Physica Scripta (1971)
Cite
A G Mathewson and H P Myers. Absolute Values of the Optical Constants of Some Pure Metals. Physica Scripta, 4, 291-292 (1971), doi:10.1088/0031-8949/4/6/009; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
37 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.49594 | 0.77909 | 5.84012 |
| 0.50606 | 0.81783 | 5.93033 |
| 0.5166 | 0.85227 | 6.10134 |
| 0.52759 | 0.89107 | 6.22848 |
| 0.53906 | 0.94408 | 6.35541 |
| 0.55104 | 1.00461 | 6.51991 |
| 0.56356 | 1.06864 | 6.64394 |
| 0.57667 | 1.14503 | 6.76839 |
| 0.5904 | 1.21981 | 6.92733 |
| 0.6048 | 1.30548 | 7.0855 |
| 0.61992 | 1.40111 | 7.20855 |
| 0.63582 | 1.50675 | 7.36684 |
| 0.65255 | 1.6281 | 7.49338 |
| 0.67018 | 1.77579 | 7.65855 |
| 0.6888 | 1.94186 | 7.82757 |
| 0.70848 | 2.13059 | 8.00246 |
| 0.72932 | 2.33676 | 8.15233 |
| 0.75142 | 2.57452 | 8.25398 |
| 0.7749 | 2.87316 | 8.23135 |
| 0.7999 | 3.03948 | 8.07703 |
| 0.82656 | 2.93996 | 7.75521 |
| 0.85506 | 2.52983 | 7.60921 |
| 0.8856 | 2.13552 | 7.74987 |
| 0.9184 | 1.81758 | 8.1427 |
| 0.95372 | 1.57683 | 8.68829 |
| 0.99187 | 1.41421 | 9.19239 |
| 1.0332 | 1.31513 | 9.73291 |
| 1.07812 | 1.24965 | 10.32287 |
| 1.12713 | 1.22635 | 10.88595 |
| 1.1808 | 1.22466 | 11.55421 |
| 1.23984 | 1.25115 | 12.18874 |
| 1.3051 | 1.29739 | 12.91059 |
| 1.3776 | 1.34628 | 13.70447 |
| 1.45864 | 1.42835 | 14.52722 |
| 1.5498 | 1.5 | 15.5 |
| 1.65312 | 1.58999 | 16.47811 |
| 1.7712 | 1.75488 | 17.75048 |
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
- —
298 K (24.85 °C)