Optical constants
Refractive index of SiO (Silicon monoxide)
Hass and Salzberg 1954: n,k 0.24–14.0 µm
- Data
- tabulated n + tabulated k
- Range
- 0.24–14 µm
- Points
- 98
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.96904
- Extinction coefficient k
- 0.001
- Permittivity ε1
- 3.8771
- Permittivity ε2
- 0.00393807
- Absorption coefficient α
- 213.859 cm⁻¹
- Penetration depth δ = λ/(2πk)
- 93519.4 nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.282051 µm⁻¹
- Group index ng
- 2.13477
- 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
# SiO (Silicon monoxide): Hass and Salzberg 1954: n,k 0.24–14.0 µm
sio = ls.fetch_refractiveindex("main", "SiO", "Hass", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sio.range_nm) # (240, 14000) nm
eps = sio.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_927a070d5c94/lightsmith"
sio = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(sio.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (sio/hass-salzberg-1954).
# ... load sio as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=sio)],
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.
References
- doi:10.1364/josa.44.000181 Optical Properties of Silicon Monoxide in the Wavelength Region from 024 to 140 Microns*, Journal of the Optical Society of America (1954)
Cite
Georg Hass and Calvin D. Salzberg. Optical Properties of Silicon Monoxide in the Wavelength Region from 024 to 140 Microns*. Journal of the Optical Society of America, 44, 181 (1954), doi:10.1364/josa.44.000181; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 98 wavelengths, the same grid as the API and the library| λ (µm) | n | k |
|---|---|---|
| 0.24 | 1.847 | 0.7 |
| 0.261 | 1.933 | 0.608619 |
| 0.281 | 2.051 | 0.52405 |
| 0.3 | 2.161 | 0.43 |
| 0.312 | 2.216 | 0.37912 |
| 0.328 | 2.246 | 0.3155 |
| 0.338 | 2.255 | 0.2871667 |
| 0.35 | 2.259 | 0.2531667 |
| 0.36 | 2.255 | 0.2248333 |
| 0.37 | 2.237 | 0.1965 |
| 0.378 | 2.213 | 0.1776296 |
| 0.388 | 2.18 | 0.1568889 |
| 0.397 | 2.158 | 0.1382222 |
| 0.411 | 2.125 | 0.1152609 |
| 0.423 | 2.096 | 0.097 |
| 0.432 | 2.078 | 0.08557692 |
| 0.443 | 2.059 | 0.07161538 |
| 0.458 | 2.041 | 0.05824 |
| 0.471 | 2.023 | 0.04992 |
| 0.483 | 2.01 | 0.04152 |
| 0.5 | 1.999 | 0.02915 |
| 0.516 | 1.99 | 0.01555 |
| 0.529 | 1.985 | 0.01061905 |
| 0.548 | 1.979 | 0.005454545 |
| 0.57 | 1.974 | 0.001 |
| 0.609 | 1.963 | 0.0009775 |
| 0.66 | 1.949 | 0.00085 |
| 0.7 | 1.942 | 0.00075 |
| 0.78 | 1.933 | 0.00055 |
| 0.829 | 1.926 | 0.0004275 |
| 0.872 | 1.919 | 0.00032 |
| 0.9 | 1.916 | 0.00025 |
| 0.961 | 1.912 | 9.750000e-05 |
| 1 | 1.907 | 0 |
| 2 | 1.853 | 0 |
| 3 | 1.822 | 0 |
| 4 | 1.797 | 0 |
| 5 | 1.743 | 0 |
| 6 | 1.694 | 0 |
| 6.39 | 1.668 | 0 |
| 6.66 | 1.648 | 0 |
| 7 | 1.602 | 0 |
| 7.19 | 1.55 | 0 |
| 7.4 | 1.477 | 0 |
| 7.57 | 1.402 | 0 |
| 7.72 | 1.324 | 0 |
| 7.83 | 1.259 | 0 |
| 7.94 | 1.192 | 0 |
| 8.03 | 1.147 | 0.0015625 |
| 8.14 | 1.077 | 0.007291667 |
| 8.28 | 0.999 | 0.03865882 |
| 8.47 | 0.919 | 0.1622069 |
| 8.55 | 0.891 | 0.2303835 |
| 8.67 | 0.876 | 0.3458722 |
| 8.83 | 0.871 | 0.5083595 |
| 8.98 | 0.881 | 0.675095 |
| 9.08 | 0.905 | 0.7823051 |
| 9.22 | 0.97 | 0.9294237 |
| 9.36 | 1.059 | 1.060504 |
| 9.49 | 1.156 | 1.160219 |
| 9.59 | 1.246 | 1.226728 |
| 9.68 | 1.36 | 1.27674 |
| 9.76 | 1.48 | 1.30714 |
| 9.89 | 1.684 | 1.340091 |
| 10.02 | 1.906 | 1.345 |
| 10.11 | 2.09 | 1.332273 |
| 10.17 | 2.252 | 1.317667 |
| 10.25 | 2.431 | 1.284571 |
| 10.29 | 2.548 | 1.254857 |
| 10.36 | 2.641 | 1.160833 |
| 10.47 | 2.743 | 0.971 |
| 10.56 | 2.807 | 0.815 |
| 10.69 | 2.847 | 0.654 |
| 10.79 | 2.852 | 0.5572308 |
| 10.89 | 2.851 | 0.4805385 |
| 11.03 | 2.826 | 0.3823333 |
| 11.13 | 2.794 | 0.339 |
| 11.25 | 2.749 | 0.2969545 |
| 11.36 | 2.691 | 0.2614545 |
| 11.46 | 2.616 | 0.2382 |
| 11.57 | 2.529 | 0.2151 |
| 11.65 | 2.446 | 0.1994118 |
| 11.71 | 2.374 | 0.1877647 |
| 11.76 | 2.311 | 0.1792353 |
| 11.84 | 2.251 | 0.1731176 |
| 11.92 | 2.201 | 0.167 |
| 12.03 | 2.146 | 0.1639444 |
| 12.12 | 2.116 | 0.1623636 |
| 12.29 | 2.089 | 0.1654545 |
| 12.45 | 2.068 | 0.1721905 |
| 12.61 | 2.058 | 0.1798095 |
| 12.82 | 2.048 | 0.1901739 |
| 13.03 | 2.045 | 0.20136 |
| 13.21 | 2.037 | 0.21144 |
| 13.39 | 2.027 | 0.2275833 |
| 13.6 | 2.024 | 0.2456667 |
| 13.76 | 2.016 | 0.2618 |
| 14 | 2.005 | 0.293 |
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
- —