Optical constants
Refractive index of D0687: V 513 (BARBERINI)
D0687: V 513: n 0.4358–0.6563 µm
- Data
- tabulated n
- Range
- 0.4358–0.6563 µm
- Points
- 8
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.6545
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.73735
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.113697 µm⁻¹
- Group index ng
- 1.7213
- 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
# D0687: V 513 (BARBERINI): D0687: V 513
barberini_d0687 = ls.fetch_refractiveindex("specs", "BARBERINI-filter", "D0687", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(barberini_d0687.range_nm) # (435.83, 656.27) nm
eps = barberini_d0687.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_44d80b5921ed/lightsmith"
barberini_d0687 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(barberini_d0687.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (barberini-d0687/barberini).
# ... load barberini_d0687 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=barberini_d0687)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=436, stop_nm=656, 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
Cite
Barberini D0587 glass specifications, 2011-01; 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 |
|---|---|
| 0.43583 | 1.6779 |
| 0.47999 | 1.6684 |
| 0.48613 | 1.6673 |
| 0.54607 | 1.6588 |
| 0.58756 | 1.6545 |
| 0.58929 | 1.6543 |
| 0.64385 | 1.65 |
| 0.65627 | 1.6492 |
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
- —
20 °C
Photochromic Glass; Colour: clear; Application: Lower segment glass for photochromic ophthalmic crown glass