Optical constants
Refractive index of Rb (Rubidium)
Smith 1969: n,k 0.313–2.24 µm
- Data
- tabulated nk
- Range
- 0.3125–2.238 µm
- Points
- 24
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 0.101128
- Extinction coefficient k
- 1.34016
- Permittivity ε1
- -1.78582
- Permittivity ε2
- 0.271057
- Absorption coefficient α
- 286607 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 69.782 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 0.0286923 µm⁻¹
- Group index ng
- 0.0842686
- 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
# Rb (Rubidium): Smith 1969: n,k 0.313–2.24 µm
rb = ls.fetch_refractiveindex("main", "Rb", "Smith", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(rb.range_nm) # (312.539, 2237.98) nm
eps = rb.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_39f69c4eb9cc/lightsmith"
rb = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(rb.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (rb/smith-1969).
# ... 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=400, stop_nm=1000, 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.
References
- doi:10.1103/physrevb.2.2840 Optical Constants of Rubidium and Cesium from 0.5 to 4.0 eV, Physical Review B (1970)
Cite
Neville V. Smith. Optical Constants of Rubidium and Cesium from 0.5 to 4.0 eV. Physical Review B, 2, 2840-2848 (1970), doi:10.1103/physrevb.2.2840; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
24 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.312539 | 0.545805 | 0.113594 |
| 0.334099 | 0.459457 | 0.138207 |
| 0.364981 | 0.257 | 0.247081 |
| 0.386967 | 0.157074 | 0.429735 |
| 0.404648 | 0.130413 | 0.532924 |
| 0.420001 | 0.113011 | 0.654806 |
| 0.439972 | 0.101094 | 0.791341 |
| 0.469993 | 0.097758 | 0.905294 |
| 0.505027 | 0.096798 | 1.053741 |
| 0.545945 | 0.099933 | 1.205814 |
| 0.599827 | 0.101479 | 1.379601 |
| 0.661955 | 0.108939 | 1.588039 |
| 0.750056 | 0.108858 | 1.873993 |
| 0.859807 | 0.101179 | 2.25837 |
| 1.009643 | 0.089961 | 2.656707 |
| 1.175206 | 0.089725 | 3.142937 |
| 1.344731 | 0.091214 | 3.667195 |
| 1.530669 | 0.0967 | 4.22958 |
| 1.689158 | 0.109021 | 4.705517 |
| 1.839528 | 0.12215 | 5.182173 |
| 1.980578 | 0.133219 | 5.581017 |
| 2.119388 | 0.154914 | 6.019468 |
| 2.175161 | 0.161467 | 6.174631 |
| 2.237982 | 0.172367 | 6.306323 |
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
- —