Optical constants
Refractive index of AMTIR-1 (AMI)
AMTIR-1: n,k 1–14 µm
- Data
- tabulated nk
- Range
- 1–14 µm
- Points
- 17
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.5158
- Extinction coefficient k
- 2.97619e-07
- Permittivity ε1
- 6.32923
- Permittivity ε2
- 1.49750e-06
- Absorption coefficient α
- 0.00999998 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 2.00000e+09 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0046 µm⁻¹
- Group index ng
- 2.533
- Group velocity dispersion
- — fs²/mm
- Dispersion parameter D
- — ps/(nm·km)
- Photon energy
- 0.331509 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
# AMTIR-1 (AMI): AMTIR-1
ami_amtir_1 = ls.fetch_refractiveindex("specs", "AMI-infrared", "AMTIR-1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ami_amtir_1.range_nm) # (1000, 14000) nm
eps = ami_amtir_1.eps([3740]) # complex permittivity
Downloads 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_4af958317606/lightsmith"
ami_amtir_1 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(ami_amtir_1.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (ami-amtir-1/ami).
# ... load ami_amtir_1 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=ami_amtir_1)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=1000, stop_nm=14000, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelength
Same 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
Amorphous Materials AMTIR-1 Information (2012) - downloaded 2014-01-11; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
17 rows as published| λ (µm) | n | k |
|---|---|---|
| 1.0 | 2.5977 | 5.4908e-07 |
| 1.064 | 2.5862 | 5.5882e-07 |
| 1.5 | 2.5466 | 3.581e-07 |
| 2.0 | 2.5306 | 4.7746e-07 |
| 2.4 | 2.525 | 1.9099e-07 |
| 3.0 | 2.5192 | 2.3873e-07 |
| 4.0 | 2.5146 | 3.1831e-07 |
| 5.0 | 2.5117 | 7.9577e-07 |
| 6.0 | 2.5092 | 4.7746e-07 |
| 7.0 | 2.5068 | 5.5704e-07 |
| 8.0 | 2.5042 | 6.3662e-07 |
| 9.0 | 2.5013 | 7.162e-07 |
| 10.0 | 2.4981 | 7.9577e-07 |
| 11.0 | 2.4946 | 2.6261e-06 |
| 12.0 | 2.4905 | 1.4324e-05 |
| 13.0 | 2.486 | 1.5518e-05 |
| 14.0 | 2.4825 | 1.4483e-05 |
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
- —