Optical constants
Refractive index of Hydrogenated amorphous carbon
Smith 1984: Annealed at 450 °; n,k 0.261–0.827 µm
- Data
- tabulated nk
- Range
- 0.261–0.827 µm
- Points
- 14
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.8147
- Extinction coefficient k
- 0.133313
- Permittivity ε1
- 3.27535
- Permittivity ε2
- 0.483845
- Absorption coefficient α
- 28510.2 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 701.503 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.144928 µm⁻¹
- Group index ng
- 1.89986
- 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
# Hydrogenated amorphous carbon: Smith 1984: Annealed at 450 °; n,k 0.261–0.827 µm
hac = ls.fetch_refractiveindex("other", "HAC", "Smith-Ta450C", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hac.range_nm) # (261, 827) nm
eps = hac.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_3c0980dd7c41/lightsmith"
hac = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(hac.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (hac/smith-1984-ta450c).
# ... load hac as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=hac)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=827, 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
- substrate
- fused_quartz
References
- doi:10.1063/1.333135 Optical constants of a hydrogenated amorphous carbon film, Journal of Applied Physics (1984)
Cite
F. W. Smith. Optical constants of a hydrogenated amorphous carbon film. Journal of Applied Physics, 55, 764-771 (1984), doi:10.1063/1.333135; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
14 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.261 | 1.5 | 0.515 |
| 0.276 | 1.56 | 0.514 |
| 0.292 | 1.62 | 0.495 |
| 0.31 | 1.68 | 0.47 |
| 0.331 | 1.73 | 0.445 |
| 0.354 | 1.78 | 0.4 |
| 0.381 | 1.8 | 0.35 |
| 0.413 | 1.82 | 0.3 |
| 0.451 | 1.84 | 0.24 |
| 0.496 | 1.83 | 0.19 |
| 0.551 | 1.82 | 0.154 |
| 0.62 | 1.81 | 0.115 |
| 0.708 | 1.8 | 0.08 |
| 0.827 | 1.81 | 0.048 |
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
- —
Annealed (Ta = 450 °C)