Optical constants
Refractive index of In (Indium)
Mathewson and Myers 1971: n,k 0.344–1.77 µm; 140 K
- Data
- tabulated nk
- Range
- 0.3444–1.771 µm
- Points
- 59
- Temperature
- 140 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.04522
- Extinction coefficient k
- 5.55762
- Permittivity ε1
- -29.7947
- Permittivity ε2
- 11.6178
- Absorption coefficient α
- 1.18855e+06 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 16.8272 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- 1.34814 µm⁻¹
- Group index ng
- 0.253047
- 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
# In (Indium): Mathewson and Myers 1971: n,k 0.344–1.77 µm; 140 K
in = ls.fetch_refractiveindex("main", "In", "Mathewson-140K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(in.range_nm) # (344.4, 1771.2) nm
eps = in.eps([633]) # 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_d30931a2cd40/lightsmith"
in = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(in.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (in/mathewson-myers-1971-140k).
# ... load in as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=in)],
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 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.
Comments and conditions
Conditions
- temperature
- 140 K
References
- doi:10.1088/0031-8949/4/6/009 Absolute Values of the Optical Constants of Some Pure Metals, Physica Scripta (1971)
Cite
A G Mathewson and H P Myers. Absolute Values of the Optical Constants of Some Pure Metals. Physica Scripta, 4, 291-292 (1971), doi:10.1088/0031-8949/4/6/009; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
59 rows as published| λ (µm) | n | k |
|---|---|---|
| 0.3444 | 0.40053 | 3.37052 |
| 0.34925 | 0.40813 | 3.43024 |
| 0.35424 | 0.41901 | 3.46057 |
| 0.35937 | 0.4246 | 3.53274 |
| 0.36466 | 0.43344 | 3.57601 |
| 0.3701 | 0.45404 | 3.63403 |
| 0.37571 | 0.45911 | 3.70281 |
| 0.38149 | 0.47886 | 3.7589 |
| 0.38745 | 0.48524 | 3.81254 |
| 0.3936 | 0.50261 | 3.87977 |
| 0.39995 | 0.52118 | 3.9334 |
| 0.40651 | 0.53768 | 3.99864 |
| 0.41328 | 0.55712 | 4.03861 |
| 0.42029 | 0.57286 | 4.10222 |
| 0.42753 | 0.58826 | 4.16486 |
| 0.43503 | 0.60332 | 4.22658 |
| 0.4428 | 0.6295 | 4.28909 |
| 0.45085 | 0.64675 | 4.40662 |
| 0.4592 | 0.67164 | 4.46667 |
| 0.46786 | 0.69598 | 4.52597 |
| 0.47686 | 0.71159 | 4.6375 |
| 0.48621 | 0.74526 | 4.69632 |
| 0.49594 | 0.76995 | 4.8055 |
| 0.50606 | 0.80207 | 4.86244 |
| 0.5166 | 0.82528 | 4.96801 |
| 0.52759 | 0.85748 | 5.07299 |
| 0.53906 | 0.88874 | 5.17589 |
| 0.55104 | 0.94574 | 5.23397 |
| 0.56356 | 0.98396 | 5.33556 |
| 0.57667 | 1.03048 | 5.48287 |
| 0.5904 | 1.04899 | 5.57677 |
| 0.6048 | 1.07617 | 5.71473 |
| 0.61992 | 1.11053 | 5.80804 |
| 0.63582 | 1.14436 | 5.94218 |
| 0.65255 | 1.1852 | 6.07492 |
| 0.67018 | 1.22497 | 6.24504 |
| 0.6888 | 1.2936 | 6.37757 |
| 0.70848 | 1.36695 | 6.54741 |
| 0.72932 | 1.46593 | 6.7193 |
| 0.75142 | 1.62279 | 6.9017 |
| 0.7749 | 1.84055 | 7.06312 |
| 0.7999 | 2.06691 | 7.16045 |
| 0.82656 | 2.21691 | 7.2398 |
| 0.85506 | 2.3137 | 7.30433 |
| 0.8856 | 2.37804 | 7.35901 |
| 0.9184 | 2.39133 | 7.46448 |
| 0.95372 | 2.35923 | 7.58722 |
| 0.99187 | 2.26983 | 7.81998 |
| 1.0332 | 2.19247 | 8.05028 |
| 1.07812 | 2.1159 | 8.36523 |
| 1.12713 | 2.06136 | 8.73208 |
| 1.1808 | 2.06052 | 9.12391 |
| 1.23984 | 2.06226 | 9.55264 |
| 1.3051 | 2.07166 | 10.06438 |
| 1.3776 | 2.08519 | 10.6465 |
| 1.45864 | 2.11576 | 11.20163 |
| 1.5498 | 2.12758 | 11.93845 |
| 1.65312 | 2.2471 | 12.57177 |
| 1.7712 | 2.32494 | 13.50575 |
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
- —
140 K (-133.15 °C)