Optical constants
Refractive index of Rb (Rubidium)
Whang et al. 1972: n,k 0.117–0.380 µm
- Data
- tabulated nk
- Range
- 0.1165–0.38 µm
- Points
- 42
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 0.937347
- Extinction coefficient k
- 0.0773366
- Permittivity ε1
- 0.872638
- Permittivity ε2
- 0.144982
- Absorption coefficient α
- 46278.1 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 432.17 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -1.18812 µm⁻¹
- Group index ng
- 1.18685
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 5.90401 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
# Rb (Rubidium): Whang et al. 1972: n,k 0.117–0.380 µm
rb = ls.fetch_refractiveindex("main", "Rb", "Whang", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(rb.range_nm) # (116.5, 380) nm
eps = rb.eps([210]) # 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_b991168ba508/lightsmith"
rb = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(rb.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (rb/whang-1972).
# ... load rb as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=rb)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=117, stop_nm=380, 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.
References
- doi:10.1103/physrevb.5.2118 Optical Properties of Rb between 3.3 and 10.5 eV, Physical Review B (1972)
Cite
U. S. Whang, E. T. Arakawa and T. A. Callcott. Optical Properties of Rb between 3.3 and 10.5 eV. Physical Review B, 5, 2118-2124 (1972), doi:10.1103/physrevb.5.2118; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
42 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.1165 | 1.041 | 0.027 |
| 0.1192 | 1.03 | 0.028 |
| 0.1218 | 1.03 | 0.03 |
| 0.1235 | 1.02 | 0.031 |
| 0.1254 | 1.02 | 0.033 |
| 0.128 | 1.02 | 0.035 |
| 0.132 | 1.01 | 0.038 |
| 0.1351 | 1.01 | 0.04 |
| 0.1399 | 1.0 | 0.044 |
| 0.1462 | 0.997 | 0.05 |
| 0.152 | 0.99 | 0.055 |
| 0.1543 | 0.988 | 0.057 |
| 0.1578 | 0.985 | 0.06 |
| 0.1606 | 0.983 | 0.062 |
| 0.1636 | 0.98 | 0.065 |
| 0.167 | 0.978 | 0.068 |
| 0.17 | 0.976 | 0.071 |
| 0.178 | 0.97 | 0.077 |
| 0.1837 | 0.965 | 0.08 |
| 0.1875 | 0.962 | 0.081 |
| 0.1942 | 0.955 | 0.081 |
| 0.2015 | 0.947 | 0.08 |
| 0.2044 | 0.944 | 0.079 |
| 0.2145 | 0.932 | 0.076 |
| 0.2214 | 0.928 | 0.073 |
| 0.2305 | 0.908 | 0.071 |
| 0.24 | 0.891 | 0.069 |
| 0.2461 | 0.877 | 0.07 |
| 0.2544 | 0.855 | 0.07 |
| 0.2613 | 0.837 | 0.072 |
| 0.275 | 0.79 | 0.075 |
| 0.2889 | 0.739 | 0.08 |
| 0.3 | 0.697 | 0.086 |
| 0.3105 | 0.648 | 0.093 |
| 0.3256 | 0.57 | 0.106 |
| 0.3359 | 0.51 | 0.119 |
| 0.3434 | 0.465 | 0.136 |
| 0.3563 | 0.385 | 0.179 |
| 0.362 | 0.35 | 0.211 |
| 0.3695 | 0.293 | 0.258 |
| 0.374 | 0.262 | 0.292 |
| 0.38 | 0.216 | 0.346 |
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
- —