Optical constants
Refractive index of Tb3Ga5O12 (Terbium gallium garnet, TGG)
Schlarb and Sugg 1994: n 0.405–1.18 µm
- Data
- tabulated n
- Range
- 0.4047–1.177 µm
- Points
- 9
- Temperature
- 293 K
- State
- crystalline
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.97129
- Extinction coefficient k
- 0
- Permittivity ε1
- 3.88599
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.125388 µm⁻¹
- Group index ng
- 2.04497
- 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
# Tb3Ga5O12 (Terbium gallium garnet, TGG): Schlarb and Sugg 1994: n 0.405–1.18 µm
tb3ga5o12 = ls.fetch_refractiveindex("main", "Tb3Ga5O12", "Schlarb", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(tb3ga5o12.range_nm) # (404.66, 1176.68) nm
eps = tb3ga5o12.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_ed1f2a79978b/lightsmith"
tb3ga5o12 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(tb3ga5o12.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (tb3ga5o12/schlarb-sugg-1994).
# ... load tb3ga5o12 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=tb3ga5o12)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=405, 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.
Comments and conditions
Conditions
- temperature
- 293 K
References
Cite
U. Schlarb, B. Sugg. Refractive index of terbium gallium garnet, Phys. Status Solidi B 182, K91–K93 (1994); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
9 rows as published| λ (µm) | n |
|---|---|
| 0.40466 | 2.0178 |
| 0.43583 | 2.0057 |
| 0.54607 | 1.9765 |
| 0.633 | 1.9656 |
| 1.07981 | 1.9434 |
| 1.08445 | 1.9432 |
| 1.14091 | 1.942 |
| 1.15228 | 1.9421 |
| 1.17668 | 1.9415 |
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
- —
Single-crystal Tb3Ga5O12; Interferometric measurement; 20 °C.