Optical constants
Refractive index of TK21 (LZOS)
TK21: n 0.365–2.325 µm
- Data
- tabulated n
- Range
- 0.365–2.325 µm
- Points
- 31
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.65691
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.74536
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0663928 µm⁻¹
- Group index ng
- 1.69592
- 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
# TK21 (LZOS): TK21
lzos_tk21 = ls.fetch_refractiveindex("specs", "LZOS-optical", "TK21", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(lzos_tk21.range_nm) # (365, 2325.4) nm
eps = lzos_tk21.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_70a2c6b6a13c/lightsmith"
lzos_tk21 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(lzos_tk21.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (lzos-tk21/lzos).
# ... load lzos_tk21 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=lzos_tk21)],
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
Cite
LZOS Clear optical glass catalogue; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
31 rows as published| λ (µm) | n |
|---|---|
| 0.365 | 1.68949 |
| 0.40466 | 1.67908 |
| 0.43583 | 1.673064 |
| 0.47999 | 1.666653 |
| 0.48613 | 1.665908 |
| 0.488 | 1.66569 |
| 0.514 | 1.66288 |
| 0.5208 | 1.66221 |
| 0.53 | 1.66136 |
| 0.54607 | 1.659961 |
| 0.5682 | 1.65825 |
| 0.58756 | 1.656914 |
| 0.58929 | 1.6568 |
| 0.6328 | 1.65424 |
| 0.64385 | 1.653667 |
| 0.6471 | 1.65351 |
| 0.65627 | 1.653058 |
| 0.6943 | 1.65139 |
| 0.70652 | 1.6509 |
| 0.7682 | 1.64876 |
| 0.8521 | 1.64648 |
| 0.89 | 1.64561 |
| 1.0139 | 1.64326 |
| 1.06 | 1.64251 |
| 1.1286 | 1.6415 |
| 1.3951 | 1.63814 |
| 1.5296 | 1.6366 |
| 1.8131 | 1.63336 |
| 1.9701 | 1.63149 |
| 2.2493 | 1.62793 |
| 2.3254 | 1.6269 |
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
- —