Optical constants
Refractive index of LaF3 - Lanthanum fluoride (e) (CRYSTRAN)
LaF3 - Lanthanum fluoride (e): n 0.254–0.547 µm
- Data
- tabulated n
- Range
- 0.254–0.547 µm
- Points
- 4
- Optical axis
- e
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.61984
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.62389
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.245033 µm⁻¹
- Group index ng
- 1.71124
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 3.32397 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
# LaF3 - Lanthanum fluoride (e) (CRYSTRAN): LaF3 - Lanthanum fluoride (e)
crystran_laf3_e = ls.fetch_refractiveindex("specs", "CRYSTRAN-optical", "LaF3-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(crystran_laf3_e.range_nm) # (254, 547) nm
eps = crystran_laf3_e.eps([373]) # 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_f7ddc6e45814/lightsmith"
crystran_laf3_e = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(crystran_laf3_e.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (crystran-laf3-e/crystran).
# ... load crystran_laf3_e as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=crystran_laf3_e)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=547, 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
Conditions
- direction
- e
References
See also Crystran LaF3 online data sheet
Cite
Crystran Ltd. The Crystran handbook of infra-red and ultra-violet optical materials (5th edition, 2023); See also Crystran LaF3 online data sheet; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
4 rows as published| λ (µm) | n |
|---|---|
| 0.254 | 1.649 |
| 0.405 | 1.612 |
| 0.436 | 1.609 |
| 0.547 | 1.602 |
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
- —
Optical data are for extraordinary ray (e).