Optical constants
Refractive index of Rh (Rhodium)
Coulter et al. 1973: Thin film deposited at 300 °C; n,k 0.405–0.612 µm
- Data
- tabulated nk
- Range
- 0.4047–0.612 µm
- Points
- 6
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.99694
- Extinction coefficient k
- 5.40494
- Permittivity ε1
- -25.2256
- Permittivity ε2
- 21.5867
- Absorption coefficient α
- 1.15590e+06 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 17.3026 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 1.76471 µm⁻¹
- Group index ng
- 0.96
- 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): Coulter et al. 1973: Thin film deposited at 300 °C; n,k 0.405–0.612 µm
rh = ls.fetch_refractiveindex("main", "Rh", "Coulter-300", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(rh.range_nm) # (404.7, 612) nm
eps = rh.eps([498]) # 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_f628dd7b40ba/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/coulter-1973-300).
# ... 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=405, stop_nm=612, 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/josa.63.001149 Optical constants and reflectance and transmittance of evaporated rhodium films in the visible*, Journal of the Optical Society of America (1973)
Cite
J. K. Coulter, G. Hass and J. B. Ramsey. Optical constants and reflectance and transmittance of evaporated rhodium films in the visible*. Journal of the Optical Society of America, 63, 1149 (1973), doi:10.1364/josa.63.001149; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
6 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.4047 | 1.37 | 4.22 |
| 0.4358 | 1.59 | 4.42 |
| 0.4916 | 1.78 | 4.71 |
| 0.5461 | 1.89 | 5.14 |
| 0.578 | 1.98 | 5.34 |
| 0.612 | 2.04 | 5.57 |
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
- —
Evaporated Rh deposited at 300 °C