Optical constants
Refractive index of Rh (Rhodium)
Arndt et al. 1984: n,k 0.40–0.75 µm
- Data
- tabulated nk
- Range
- 0.4–0.75 µm
- Points
- 8
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.77776
- Extinction coefficient k
- 3.46528
- Permittivity ε1
- -4.29221
- Permittivity ε2
- 19.2514
- Absorption coefficient α
- 741082 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 26.9876 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 2.6 µm⁻¹
- Group index ng
- 1.25
- 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
# Rh (Rhodium): Arndt et al. 1984: n,k 0.40–0.75 µm
rh = ls.fetch_refractiveindex("main", "Rh", "Arndt", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(rh.range_nm) # (400, 750) nm
eps = rh.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_c45efd534914/lightsmith"
rh = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(rh.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (rh/arndt-1984).
# ... load rh as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=rh)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=750, 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:10.1364/ao.23.003571 Multiple determination of the optical constants of thin-film coating materials, Applied Optics (1984)
Cite
D. P. Arndt et al.. Multiple determination of the optical constants of thin-film coating materials. Applied Optics, 23, 3571 (1984), doi:10.1364/ao.23.003571; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
8 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.4 | 2.18 | 2.91 |
| 0.45 | 2.38 | 3.08 |
| 0.5 | 2.55 | 3.21 |
| 0.55 | 2.68 | 3.36 |
| 0.6 | 2.81 | 3.5 |
| 0.65 | 2.94 | 3.65 |
| 0.7 | 3.03 | 3.77 |
| 0.75 | 2.99 | 3.86 |
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
- —
Thin film. Mean values of measurements by different methods.