Optical constants
Refractive index of GaSe (Gallium selenide)
Kato et al. 2013: n(o) 0.8–162 µm
- Data
- formula 4
- Range
- 0.8–1620 µm
- Temperature
- 293 K
- Optical axis
- o
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.7136
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.93642
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.175888 µm⁻¹
- Group index ng
- 8.04555
- Group velocity dispersion
- -4.16893e+06 fs²/mm
- Dispersion parameter D
- 6059.27 ps/(nm·km)
- Photon energy
- 0.0344401 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
# GaSe (Gallium selenide): Kato et al. 2013: n(o) 0.8–162 µm
gase = ls.fetch_refractiveindex("main", "GaSe", "Kato-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(gase.range_nm) # (800, 1.62e+06) nm
eps = gase.eps([36000]) # 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_8d3c54cb2dc0/lightsmith"
gase = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(gase.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (gase/kato-2013-o).
# ... load gase as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=gase)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=800, 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.
Dispersion formula
RefractiveIndex.INFO (formula 4), λ in µmValid from 0.8 to 1620.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 10.6409 |
| C2 | 0.3788 |
| C3 | 0.0 |
| C4 | 0.1232 |
| C5 | 1.0 |
| C6 | 7090.7 |
| C7 | 0.0 |
| C8 | 2216.3 |
| C9 | 1.0 |
Comments and conditions
Conditions
- temperature
- 293 K
- direction
- o
- formula gives non-finite n in part of its stated wavelength range
References
- doi:10.1364/ao.52.002325 Sellmeier and thermo-optic dispersion formulas for GaSe (Revisited), Applied Optics (2013)
Cite
Kiyoshi Kato, Fumihito Tanno and Nobuhiro Umemura. Sellmeier and thermo-optic dispersion formulas for GaSe (Revisited). Applied Optics, 52, 2325 (2013), doi:10.1364/ao.52.002325; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 400 wavelengths, the same grid as the API and the library| λ (µm) | n |
|---|---|
| 0.8 | 2.858952 |
| 0.815411 | 2.853048 |
| 0.83112 | 2.847451 |
| 0.847131 | 2.842142 |
| 0.86345 | 2.837102 |
| 0.880084 | 2.832314 |
| 0.897038 | 2.827764 |
| 0.914318 | 2.823436 |
| 0.931932 | 2.819319 |
| 0.949885 | 2.815399 |
| 0.968184 | 2.811665 |
| 0.986835 | 2.808107 |
| 1.00585 | 2.804714 |
| 1.02522 | 2.801479 |
| 1.04497 | 2.798391 |
| 1.0651 | 2.795444 |
| 1.08562 | 2.79263 |
| 1.10654 | 2.789941 |
| 1.12785 | 2.787372 |
| 1.14958 | 2.784916 |
| 1.17172 | 2.782567 |
| 1.1943 | 2.78032 |
| 1.2173 | 2.77817 |
| 1.24075 | 2.776112 |
| 1.26466 | 2.774141 |
| 1.28902 | 2.772254 |
| 1.31385 | 2.770446 |
| 1.33916 | 2.768713 |
| 1.36496 | 2.767052 |
| 1.39125 | 2.76546 |
| 1.41806 | 2.763932 |
| 1.44537 | 2.762467 |
| 1.47322 | 2.761061 |
| 1.5016 | 2.759712 |
| 1.53053 | 2.758416 |
| 1.56001 | 2.757171 |
| 1.59006 | 2.755976 |
| 1.62069 | 2.754827 |
| 1.65191 | 2.753723 |
| 1.68374 | 2.752662 |
| 1.71617 | 2.751641 |
| 1.74923 | 2.750659 |
| 1.78293 | 2.749715 |
| 1.81728 | 2.748805 |
| 1.85229 | 2.74793 |
| 1.88797 | 2.747086 |
| 1.92434 | 2.746273 |
| 1.96141 | 2.74549 |
| 1.9992 | 2.744735 |
| 2.03771 | 2.744006 |
| 2.07696 | 2.743303 |
| 2.11698 | 2.742625 |
| 2.15776 | 2.741969 |
| 2.19932 | 2.741335 |
| 2.24169 | 2.740723 |
| 2.28488 | 2.740131 |
| 2.32889 | 2.739557 |
| 2.37376 | 2.739002 |
| 2.41949 | 2.738464 |
| 2.4661 | 2.737943 |
| 2.5136 | 2.737436 |
| 2.56203 | 2.736945 |
| 2.61138 | 2.736468 |
| 2.66169 | 2.736003 |
| 2.71296 | 2.735551 |
| 2.76523 | 2.735111 |
| 2.8185 | 2.734682 |
| 2.87279 | 2.734263 |
| 2.92813 | 2.733854 |
| 2.98454 | 2.733454 |
| 3.04204 | 2.733062 |
| 3.10064 | 2.732679 |
| 3.16037 | 2.732302 |
| 3.22125 | 2.731932 |
| 3.28331 | 2.731568 |
| 3.34656 | 2.73121 |
| 3.41103 | 2.730857 |
| 3.47674 | 2.730508 |
| 3.54372 | 2.730163 |
| 3.61198 | 2.729822 |
| 3.68156 | 2.729483 |
| 3.75249 | 2.729146 |
| 3.82478 | 2.728812 |
| 3.89846 | 2.728479 |
| 3.97356 | 2.728146 |
| 4.0501 | 2.727814 |
| 4.12813 | 2.727482 |
| 4.20765 | 2.727149 |
| 4.28871 | 2.726815 |
| 4.37133 | 2.726479 |
| 4.45554 | 2.726141 |
| 4.54137 | 2.7258 |
| 4.62886 | 2.725456 |
| 4.71803 | 2.725108 |
| 4.80892 | 2.724755 |
| 4.90156 | 2.724398 |
| 4.99598 | 2.724035 |
| 5.09223 | 2.723667 |
| 5.19032 | 2.723292 |
| 5.29031 | 2.722909 |
| 5.39222 | 2.722519 |
| 5.4961 | 2.722121 |
| 5.60198 | 2.721714 |
| 5.7099 | 2.721297 |
| 5.81989 | 2.720869 |
| 5.93201 | 2.720431 |
| 6.04629 | 2.719981 |
| 6.16276 | 2.719519 |
| 6.28148 | 2.719044 |
| 6.40249 | 2.718554 |
| 6.52583 | 2.718051 |
| 6.65154 | 2.717531 |
| 6.77968 | 2.716996 |
| 6.91029 | 2.716443 |
| 7.04341 | 2.715872 |
| 7.17909 | 2.715282 |
| 7.31739 | 2.714672 |
| 7.45836 | 2.71404 |
| 7.60204 | 2.713387 |
| 7.74848 | 2.712711 |
| 7.89775 | 2.71201 |
| 8.0499 | 2.711283 |
| 8.20497 | 2.710529 |
| 8.36303 | 2.709748 |
| 8.52414 | 2.708936 |
| 8.68835 | 2.708094 |
| 8.85573 | 2.707219 |
| 9.02633 | 2.70631 |
| 9.20021 | 2.705365 |
| 9.37745 | 2.704383 |
| 9.55809 | 2.703361 |
| 9.74222 | 2.702298 |
| 9.9299 | 2.701192 |
| 10.1212 | 2.700041 |
| 10.3162 | 2.698842 |
| 10.5149 | 2.697592 |
| 10.7175 | 2.696291 |
| 10.9239 | 2.694934 |
| 11.1344 | 2.69352 |
| 11.3489 | 2.692045 |
| 11.5675 | 2.690506 |
| 11.7903 | 2.688901 |
| 12.0175 | 2.687225 |
| 12.249 | 2.685474 |
| 12.4849 | 2.683646 |
| 12.7254 | 2.681736 |
| 12.9706 | 2.67974 |
| 13.2205 | 2.677652 |
| 13.4751 | 2.675469 |
| 13.7347 | 2.673185 |
| 13.9993 | 2.670794 |
| 14.269 | 2.668291 |
| 14.5439 | 2.665668 |
| 14.8241 | 2.66292 |
| 15.1096 | 2.660039 |
| 15.4007 | 2.657017 |
| 15.6974 | 2.653846 |
| 15.9998 | 2.650517 |
| 16.308 | 2.647021 |
| 16.6222 | 2.643346 |
| 16.9424 | 2.639482 |
| 17.2688 | 2.635416 |
| 17.6014 | 2.631136 |
| 17.9405 | 2.626628 |
| 18.2861 | 2.621875 |
| 18.6384 | 2.616861 |
| 18.9975 | 2.611568 |
| 19.3634 | 2.605976 |
| 19.7364 | 2.600063 |
| 20.1167 | 2.593805 |
| 20.5042 | 2.587177 |
| 20.8992 | 2.580148 |
| 21.3018 | 2.572687 |
| 21.7122 | 2.56476 |
| 22.1304 | 2.556326 |
| 22.5567 | 2.547342 |
| 22.9913 | 2.537759 |
| 23.4342 | 2.527523 |
| 23.8856 | 2.516573 |
| 24.3458 | 2.50484 |
| 24.8148 | 2.492245 |
| 25.2928 | 2.4787 |
| 25.7801 | 2.464103 |
| 26.2767 | 2.448337 |
| 26.7829 | 2.431269 |
| 27.2988 | 2.412742 |
| 27.8247 | 2.392574 |
| 28.3608 | 2.370551 |
| 28.9071 | 2.346421 |
| 29.464 | 2.319882 |
| 30.0316 | 2.29057 |
| 30.6101 | 2.258042 |
| 31.1998 | 2.221756 |
| 31.8008 | 2.181035 |
| 32.4134 | 2.135021 |
| 33.0379 | 2.082613 |
| 33.6743 | 2.022367 |
| 34.323 | 1.952336 |
| 34.9842 | 1.869822 |
| 35.6582 | 1.770926 |
| 36.3451 | 1.649718 |
| 37.0453 | 1.496449 |
| 37.7589 | 1.293061 |
| 38.4863 | 0.9976537 |
| 39.2277 | 0.41828 |
| 39.9834 | |
| 40.7537 | |
| 41.5387 | |
| 42.339 | |
| 43.1546 | |
| 43.9859 | |
| 44.8333 | |
| 45.697 | |
| 46.5773 | |
| 47.4745 | 14.12669 |
| 48.3891 | 8.202048 |
| 49.3213 | 6.589728 |
| 50.2714 | 5.783331 |
| 51.2399 | 5.288503 |
| 52.227 | 4.950509 |
| 53.2331 | 4.703691 |
| 54.2586 | 4.51499 |
| 55.3038 | 4.365796 |
| 56.3692 | 4.244768 |
| 57.4551 | 4.144574 |
| 58.5619 | 4.060251 |
| 59.6901 | 3.98831 |
| 60.84 | 3.926224 |
| 62.012 | 3.872117 |
| 63.2066 | 3.824562 |
| 64.4242 | 3.782458 |
| 65.6653 | 3.744936 |
| 66.9303 | 3.711307 |
| 68.2197 | 3.681011 |
| 69.5339 | 3.653593 |
| 70.8734 | 3.628676 |
| 72.2387 | 3.605948 |
| 73.6303 | 3.585146 |
| 75.0488 | 3.566047 |
| 76.4945 | 3.548462 |
| 77.9681 | 3.532228 |
| 79.4701 | 3.517206 |
| 81.001 | 3.503274 |
| 82.5615 | 3.490327 |
| 84.152 | 3.478271 |
| 85.7731 | 3.467026 |
| 87.4254 | 3.45652 |
| 89.1096 | 3.446689 |
| 90.8262 | 3.437476 |
| 92.5759 | 3.428832 |
| 94.3593 | 3.420709 |
| 96.1771 | 3.413069 |
| 98.0299 | 3.405874 |
| 99.9183 | 3.399091 |
| 101.843 | 3.392691 |
| 103.805 | 3.386645 |
| 105.805 | 3.38093 |
| 107.843 | 3.375523 |
| 109.921 | 3.370403 |
| 112.038 | 3.365551 |
| 114.196 | 3.36095 |
| 116.396 | 3.356585 |
| 118.639 | 3.35244 |
| 120.924 | 3.348502 |
| 123.254 | 3.344758 |
| 125.628 | 3.341198 |
| 128.048 | 3.337809 |
| 130.515 | 3.334583 |
| 133.029 | 3.331511 |
| 135.592 | 3.328582 |
| 138.204 | 3.325791 |
| 140.866 | 3.323128 |
| 143.58 | 3.320588 |
| 146.346 | 3.318163 |
| 149.165 | 3.315848 |
| 152.039 | 3.313637 |
| 154.968 | 3.311525 |
| 157.953 | 3.309506 |
| 160.996 | 3.307576 |
| 164.097 | 3.30573 |
| 167.259 | 3.303965 |
| 170.481 | 3.302276 |
| 173.765 | 3.300659 |
| 177.112 | 3.299112 |
| 180.524 | 3.297631 |
| 184.002 | 3.296212 |
| 187.546 | 3.294853 |
| 191.159 | 3.293552 |
| 194.842 | 3.292304 |
| 198.595 | 3.291109 |
| 202.421 | 3.289963 |
| 206.321 | 3.288865 |
| 210.295 | 3.287811 |
| 214.346 | 3.286801 |
| 218.476 | 3.285832 |
| 222.684 | 3.284903 |
| 226.974 | 3.284012 |
| 231.347 | 3.283156 |
| 235.804 | 3.282335 |
| 240.346 | 3.281547 |
| 244.976 | 3.280791 |
| 249.695 | 3.280065 |
| 254.506 | 3.279368 |
| 259.408 | 3.278699 |
| 264.406 | 3.278056 |
| 269.499 | 3.277439 |
| 274.691 | 3.276846 |
| 279.983 | 3.276277 |
| 285.376 | 3.27573 |
| 290.874 | 3.275205 |
| 296.477 | 3.2747 |
| 302.189 | 3.274215 |
| 308.01 | 3.273749 |
| 313.944 | 3.273301 |
| 319.992 | 3.272871 |
| 326.156 | 3.272457 |
| 332.439 | 3.27206 |
| 338.843 | 3.271678 |
| 345.371 | 3.271311 |
| 352.024 | 3.270958 |
| 358.806 | 3.270618 |
| 365.718 | 3.270292 |
| 372.763 | 3.269979 |
| 379.944 | 3.269677 |
| 387.263 | 3.269387 |
| 394.724 | 3.269108 |
| 402.328 | 3.26884 |
| 410.078 | 3.268582 |
| 417.978 | 3.268334 |
| 426.03 | 3.268096 |
| 434.237 | 3.267867 |
| 442.603 | 3.267646 |
| 451.129 | 3.267434 |
| 459.82 | 3.26723 |
| 468.678 | 3.267034 |
| 477.706 | 3.266845 |
| 486.909 | 3.266664 |
| 496.289 | 3.266489 |
| 505.85 | 3.266321 |
| 515.594 | 3.26616 |
| 525.527 | 3.266004 |
| 535.651 | 3.265855 |
| 545.97 | 3.265711 |
| 556.487 | 3.265572 |
| 567.208 | 3.265439 |
| 578.135 | 3.265311 |
| 589.272 | 3.265188 |
| 600.624 | 3.265069 |
| 612.194 | 3.264955 |
| 623.988 | 3.264846 |
| 636.008 | 3.26474 |
| 648.261 | 3.264638 |
| 660.749 | 3.264541 |
| 673.478 | 3.264446 |
| 686.452 | 3.264356 |
| 699.676 | 3.264269 |
| 713.154 | 3.264185 |
| 726.893 | 3.264104 |
| 740.896 | 3.264027 |
| 755.168 | 3.263952 |
| 769.716 | 3.26388 |
| 784.544 | 3.263811 |
| 799.658 | 3.263744 |
| 815.063 | 3.26368 |
| 830.764 | 3.263619 |
| 846.768 | 3.263559 |
| 863.08 | 3.263502 |
| 879.707 | 3.263447 |
| 896.654 | 3.263395 |
| 913.927 | 3.263344 |
| 931.533 | 3.263295 |
| 949.479 | 3.263248 |
| 967.77 | 3.263202 |
| 986.413 | 3.263159 |
| 1005.42 | 3.263117 |
| 1024.78 | 3.263076 |
| 1044.53 | 3.263037 |
| 1064.65 | 3.263 |
| 1085.16 | 3.262964 |
| 1106.06 | 3.262929 |
| 1127.37 | 3.262896 |
| 1149.09 | 3.262864 |
| 1171.22 | 3.262833 |
| 1193.79 | 3.262803 |
| 1216.78 | 3.262774 |
| 1240.22 | 3.262747 |
| 1264.12 | 3.26272 |
| 1288.47 | 3.262695 |
| 1313.29 | 3.26267 |
| 1338.59 | 3.262647 |
| 1364.38 | 3.262624 |
| 1390.66 | 3.262602 |
| 1417.45 | 3.262581 |
| 1444.76 | 3.26256 |
| 1472.59 | 3.262541 |
| 1500.96 | 3.262522 |
| 1529.87 | 3.262504 |
| 1559.34 | 3.262487 |
| 1589.38 | 3.26247 |
| 1620 | 3.262454 |
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
- —
20 °C, Ordinary ray (o)