Optical constants
Refractive index of BaGa2GeSe6 (BGGSe)
Kato et al. 2018: n(e) 0.778–10.6 µm
- Data
- formula 4
- Range
- 0.778–10.6 µm
- Optical axis
- e
- Licence
- CC0-1.0
Uniaxial crystal, axes: oe
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 2.56613
- Extinction coefficient k
- 0
- Permittivity ε1
- 6.58503
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00640937 µm⁻¹
- Group index ng
- 2.58453
- Group velocity dispersion
- 211.172 fs²/mm
- Dispersion parameter D
- -48.2917 ps/(nm·km)
- Photon energy
- 0.432001 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
# BaGa2GeSe6 (BGGSe): Kato et al. 2018: n(e) 0.778–10.6 µm
baga2gese6 = ls.fetch_refractiveindex("main", "BaGa2GeSe6", "Kato-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(baga2gese6.range_nm) # (778, 10600) nm
eps = baga2gese6.eps([2870]) # 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_fc1dcd517876/lightsmith"
baga2gese6 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(baga2gese6.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (baga2gese6/kato-2018-e).
# ... load baga2gese6 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=baga2gese6)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=778, 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 0.778 to 10.6 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 8.11658 |
| C2 | 0.30287 |
| C3 | 0.0 |
| C4 | 0.13199 |
| C5 | 1.0 |
| C6 | 2197.51 |
| C7 | 0.0 |
| C8 | 1408.89 |
| C9 | 1.0 |
Comments and conditions
Conditions
- direction
- e
References
- doi:10.1364/ao.57.007440 Phase-matching properties of BaGa<sub>2</sub>GeSe<sub>6</sub> for three-wave interactions in the 0778–105910 μm spectral range, Applied Optics (2018)
Cite
Kiyoshi Kato, Kentaro Miyata, Valeriy V. Badikov and Valentin Petrov. Phase-matching properties of BaGa<sub>2</sub>GeSe<sub>6</sub> for three-wave interactions in the 0778–105910 μm spectral range. Applied Optics, 57, 7440 (2018), doi:10.1364/ao.57.007440; 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 |
|---|---|
| 0.778 | 2.682552 |
| 0.78311 | 2.680572 |
| 0.788253 | 2.678631 |
| 0.79343 | 2.676728 |
| 0.79864 | 2.67486 |
| 0.803886 | 2.673029 |
| 0.809165 | 2.671232 |
| 0.814479 | 2.669468 |
| 0.819828 | 2.667738 |
| 0.825213 | 2.66604 |
| 0.830632 | 2.664374 |
| 0.836088 | 2.662738 |
| 0.841579 | 2.661132 |
| 0.847106 | 2.659556 |
| 0.852669 | 2.658008 |
| 0.858269 | 2.656489 |
| 0.863906 | 2.654996 |
| 0.869579 | 2.653531 |
| 0.87529 | 2.652092 |
| 0.881039 | 2.650678 |
| 0.886825 | 2.64929 |
| 0.89265 | 2.647926 |
| 0.898512 | 2.646585 |
| 0.904413 | 2.645269 |
| 0.910353 | 2.643975 |
| 0.916332 | 2.642704 |
| 0.92235 | 2.641455 |
| 0.928407 | 2.640227 |
| 0.934505 | 2.63902 |
| 0.940642 | 2.637834 |
| 0.94682 | 2.636668 |
| 0.953038 | 2.635522 |
| 0.959297 | 2.634396 |
| 0.965597 | 2.633288 |
| 0.971939 | 2.632199 |
| 0.978322 | 2.631128 |
| 0.984747 | 2.630075 |
| 0.991215 | 2.629039 |
| 0.997725 | 2.628021 |
| 1.00428 | 2.627019 |
| 1.01087 | 2.626034 |
| 1.01751 | 2.625065 |
| 1.02419 | 2.624112 |
| 1.03092 | 2.623174 |
| 1.03769 | 2.622251 |
| 1.04451 | 2.621344 |
| 1.05137 | 2.620451 |
| 1.05827 | 2.619572 |
| 1.06522 | 2.618708 |
| 1.07222 | 2.617857 |
| 1.07926 | 2.61702 |
| 1.08635 | 2.616196 |
| 1.09348 | 2.615385 |
| 1.10066 | 2.614587 |
| 1.10789 | 2.613801 |
| 1.11517 | 2.613028 |
| 1.12249 | 2.612267 |
| 1.12986 | 2.611518 |
| 1.13728 | 2.610781 |
| 1.14475 | 2.610055 |
| 1.15227 | 2.60934 |
| 1.15984 | 2.608636 |
| 1.16746 | 2.607943 |
| 1.17512 | 2.607261 |
| 1.18284 | 2.606589 |
| 1.19061 | 2.605927 |
| 1.19843 | 2.605276 |
| 1.2063 | 2.604634 |
| 1.21422 | 2.604002 |
| 1.2222 | 2.60338 |
| 1.23022 | 2.602767 |
| 1.2383 | 2.602163 |
| 1.24644 | 2.601569 |
| 1.25462 | 2.600983 |
| 1.26286 | 2.600406 |
| 1.27116 | 2.599837 |
| 1.2795 | 2.599277 |
| 1.28791 | 2.598726 |
| 1.29637 | 2.598182 |
| 1.30488 | 2.597647 |
| 1.31345 | 2.597119 |
| 1.32208 | 2.596599 |
| 1.33076 | 2.596087 |
| 1.3395 | 2.595583 |
| 1.3483 | 2.595085 |
| 1.35715 | 2.594595 |
| 1.36606 | 2.594112 |
| 1.37504 | 2.593636 |
| 1.38407 | 2.593167 |
| 1.39316 | 2.592704 |
| 1.40231 | 2.592249 |
| 1.41152 | 2.5918 |
| 1.42079 | 2.591357 |
| 1.43012 | 2.59092 |
| 1.43951 | 2.59049 |
| 1.44896 | 2.590066 |
| 1.45848 | 2.589648 |
| 1.46806 | 2.589236 |
| 1.4777 | 2.58883 |
| 1.4874 | 2.588429 |
| 1.49717 | 2.588034 |
| 1.50701 | 2.587645 |
| 1.5169 | 2.587261 |
| 1.52687 | 2.586882 |
| 1.53689 | 2.586509 |
| 1.54699 | 2.586141 |
| 1.55715 | 2.585778 |
| 1.56737 | 2.58542 |
| 1.57767 | 2.585067 |
| 1.58803 | 2.584718 |
| 1.59846 | 2.584375 |
| 1.60896 | 2.584036 |
| 1.61952 | 2.583702 |
| 1.63016 | 2.583373 |
| 1.64086 | 2.583048 |
| 1.65164 | 2.582727 |
| 1.66249 | 2.582411 |
| 1.67341 | 2.582099 |
| 1.6844 | 2.581791 |
| 1.69546 | 2.581487 |
| 1.70659 | 2.581188 |
| 1.7178 | 2.580892 |
| 1.72908 | 2.580601 |
| 1.74044 | 2.580313 |
| 1.75187 | 2.580029 |
| 1.76338 | 2.579749 |
| 1.77496 | 2.579472 |
| 1.78661 | 2.579199 |
| 1.79835 | 2.57893 |
| 1.81016 | 2.578664 |
| 1.82205 | 2.578402 |
| 1.83401 | 2.578143 |
| 1.84606 | 2.577888 |
| 1.85818 | 2.577636 |
| 1.87039 | 2.577387 |
| 1.88267 | 2.577141 |
| 1.89503 | 2.576898 |
| 1.90748 | 2.576659 |
| 1.92001 | 2.576422 |
| 1.93262 | 2.576189 |
| 1.94531 | 2.575958 |
| 1.95809 | 2.575731 |
| 1.97095 | 2.575506 |
| 1.98389 | 2.575284 |
| 1.99692 | 2.575065 |
| 2.01003 | 2.574848 |
| 2.02324 | 2.574635 |
| 2.03652 | 2.574423 |
| 2.0499 | 2.574215 |
| 2.06336 | 2.574009 |
| 2.07691 | 2.573805 |
| 2.09055 | 2.573604 |
| 2.10428 | 2.573406 |
| 2.1181 | 2.57321 |
| 2.13201 | 2.573016 |
| 2.14601 | 2.572824 |
| 2.16011 | 2.572635 |
| 2.1743 | 2.572448 |
| 2.18857 | 2.572263 |
| 2.20295 | 2.57208 |
| 2.21742 | 2.5719 |
| 2.23198 | 2.571721 |
| 2.24664 | 2.571545 |
| 2.26139 | 2.571371 |
| 2.27624 | 2.571198 |
| 2.29119 | 2.571028 |
| 2.30624 | 2.570859 |
| 2.32139 | 2.570693 |
| 2.33663 | 2.570528 |
| 2.35198 | 2.570365 |
| 2.36743 | 2.570204 |
| 2.38297 | 2.570044 |
| 2.39862 | 2.569887 |
| 2.41438 | 2.569731 |
| 2.43023 | 2.569576 |
| 2.4462 | 2.569424 |
| 2.46226 | 2.569273 |
| 2.47843 | 2.569123 |
| 2.49471 | 2.568975 |
| 2.51109 | 2.568829 |
| 2.52758 | 2.568684 |
| 2.54418 | 2.56854 |
| 2.56089 | 2.568398 |
| 2.57771 | 2.568258 |
| 2.59464 | 2.568119 |
| 2.61168 | 2.567981 |
| 2.62883 | 2.567844 |
| 2.6461 | 2.567709 |
| 2.66348 | 2.567575 |
| 2.68097 | 2.567443 |
| 2.69858 | 2.567311 |
| 2.7163 | 2.567181 |
| 2.73414 | 2.567052 |
| 2.7521 | 2.566924 |
| 2.77017 | 2.566798 |
| 2.78836 | 2.566672 |
| 2.80668 | 2.566548 |
| 2.82511 | 2.566424 |
| 2.84366 | 2.566302 |
| 2.86234 | 2.566181 |
| 2.88114 | 2.56606 |
| 2.90006 | 2.565941 |
| 2.91911 | 2.565823 |
| 2.93828 | 2.565705 |
| 2.95758 | 2.565589 |
| 2.977 | 2.565473 |
| 2.99655 | 2.565358 |
| 3.01623 | 2.565244 |
| 3.03604 | 2.565131 |
| 3.05598 | 2.565019 |
| 3.07605 | 2.564907 |
| 3.09625 | 2.564797 |
| 3.11659 | 2.564687 |
| 3.13706 | 2.564577 |
| 3.15766 | 2.564469 |
| 3.1784 | 2.564361 |
| 3.19927 | 2.564254 |
| 3.22028 | 2.564147 |
| 3.24143 | 2.564041 |
| 3.26272 | 2.563936 |
| 3.28415 | 2.563831 |
| 3.30572 | 2.563727 |
| 3.32743 | 2.563623 |
| 3.34928 | 2.56352 |
| 3.37128 | 2.563418 |
| 3.39342 | 2.563316 |
| 3.4157 | 2.563214 |
| 3.43814 | 2.563113 |
| 3.46072 | 2.563012 |
| 3.48345 | 2.562912 |
| 3.50632 | 2.562812 |
| 3.52935 | 2.562713 |
| 3.55253 | 2.562614 |
| 3.57586 | 2.562515 |
| 3.59935 | 2.562416 |
| 3.62298 | 2.562318 |
| 3.64678 | 2.56222 |
| 3.67073 | 2.562123 |
| 3.69484 | 2.562026 |
| 3.7191 | 2.561928 |
| 3.74353 | 2.561832 |
| 3.76811 | 2.561735 |
| 3.79286 | 2.561639 |
| 3.81777 | 2.561542 |
| 3.84284 | 2.561446 |
| 3.86808 | 2.56135 |
| 3.89349 | 2.561254 |
| 3.91906 | 2.561159 |
| 3.9448 | 2.561063 |
| 3.9707 | 2.560967 |
| 3.99678 | 2.560872 |
| 4.02303 | 2.560776 |
| 4.04945 | 2.560681 |
| 4.07605 | 2.560585 |
| 4.10282 | 2.56049 |
| 4.12976 | 2.560394 |
| 4.15688 | 2.560299 |
| 4.18418 | 2.560203 |
| 4.21166 | 2.560107 |
| 4.23932 | 2.560011 |
| 4.26717 | 2.559915 |
| 4.29519 | 2.559819 |
| 4.3234 | 2.559723 |
| 4.35179 | 2.559626 |
| 4.38037 | 2.55953 |
| 4.40914 | 2.559433 |
| 4.4381 | 2.559336 |
| 4.46725 | 2.559238 |
| 4.49659 | 2.559141 |
| 4.52612 | 2.559043 |
| 4.55584 | 2.558945 |
| 4.58576 | 2.558846 |
| 4.61588 | 2.558747 |
| 4.6462 | 2.558648 |
| 4.67671 | 2.558549 |
| 4.70743 | 2.558449 |
| 4.73834 | 2.558348 |
| 4.76946 | 2.558247 |
| 4.80078 | 2.558146 |
| 4.83231 | 2.558044 |
| 4.86405 | 2.557942 |
| 4.89599 | 2.557839 |
| 4.92815 | 2.557736 |
| 4.96052 | 2.557632 |
| 4.99309 | 2.557528 |
| 5.02589 | 2.557423 |
| 5.05889 | 2.557318 |
| 5.09212 | 2.557211 |
| 5.12556 | 2.557105 |
| 5.15922 | 2.556997 |
| 5.19311 | 2.556889 |
| 5.22721 | 2.55678 |
| 5.26154 | 2.556671 |
| 5.2961 | 2.55656 |
| 5.33088 | 2.556449 |
| 5.36589 | 2.556337 |
| 5.40113 | 2.556225 |
| 5.4366 | 2.556111 |
| 5.47231 | 2.555997 |
| 5.50825 | 2.555882 |
| 5.54442 | 2.555766 |
| 5.58084 | 2.555649 |
| 5.61749 | 2.555531 |
| 5.65438 | 2.555412 |
| 5.69152 | 2.555292 |
| 5.7289 | 2.555171 |
| 5.76652 | 2.555049 |
| 5.80439 | 2.554926 |
| 5.84252 | 2.554802 |
| 5.88089 | 2.554677 |
| 5.91951 | 2.554551 |
| 5.95839 | 2.554423 |
| 5.99752 | 2.554294 |
| 6.03691 | 2.554165 |
| 6.07655 | 2.554034 |
| 6.11646 | 2.553901 |
| 6.15663 | 2.553768 |
| 6.19707 | 2.553633 |
| 6.23777 | 2.553497 |
| 6.27873 | 2.553359 |
| 6.31997 | 2.55322 |
| 6.36148 | 2.55308 |
| 6.40325 | 2.552938 |
| 6.44531 | 2.552795 |
| 6.48764 | 2.55265 |
| 6.53025 | 2.552504 |
| 6.57313 | 2.552356 |
| 6.6163 | 2.552206 |
| 6.65976 | 2.552055 |
| 6.70349 | 2.551903 |
| 6.74752 | 2.551748 |
| 6.79183 | 2.551592 |
| 6.83644 | 2.551434 |
| 6.88134 | 2.551275 |
| 6.92653 | 2.551113 |
| 6.97202 | 2.55095 |
| 7.01781 | 2.550785 |
| 7.0639 | 2.550618 |
| 7.11029 | 2.550449 |
| 7.15699 | 2.550278 |
| 7.204 | 2.550105 |
| 7.25131 | 2.54993 |
| 7.29893 | 2.549752 |
| 7.34687 | 2.549573 |
| 7.39512 | 2.549392 |
| 7.44369 | 2.549208 |
| 7.49257 | 2.549022 |
| 7.54178 | 2.548834 |
| 7.59131 | 2.548643 |
| 7.64117 | 2.54845 |
| 7.69135 | 2.548255 |
| 7.74186 | 2.548057 |
| 7.79271 | 2.547857 |
| 7.84389 | 2.547654 |
| 7.8954 | 2.547449 |
| 7.94726 | 2.547241 |
| 7.99945 | 2.54703 |
| 8.05199 | 2.546817 |
| 8.10487 | 2.546601 |
| 8.1581 | 2.546382 |
| 8.21168 | 2.54616 |
| 8.26561 | 2.545935 |
| 8.31989 | 2.545707 |
| 8.37453 | 2.545477 |
| 8.42953 | 2.545243 |
| 8.4849 | 2.545006 |
| 8.54062 | 2.544766 |
| 8.59671 | 2.544522 |
| 8.65317 | 2.544276 |
| 8.71 | 2.544026 |
| 8.7672 | 2.543772 |
| 8.82478 | 2.543515 |
| 8.88274 | 2.543255 |
| 8.94108 | 2.542991 |
| 8.9998 | 2.542723 |
| 9.05891 | 2.542452 |
| 9.1184 | 2.542177 |
| 9.17829 | 2.541898 |
| 9.23856 | 2.541615 |
| 9.29924 | 2.541328 |
| 9.36031 | 2.541037 |
| 9.42179 | 2.540742 |
| 9.48366 | 2.540442 |
| 9.54595 | 2.540139 |
| 9.60864 | 2.539831 |
| 9.67175 | 2.539518 |
| 9.73527 | 2.539201 |
| 9.7992 | 2.53888 |
| 9.86356 | 2.538554 |
| 9.92834 | 2.538223 |
| 9.99354 | 2.537887 |
| 10.0592 | 2.537546 |
| 10.1252 | 2.537201 |
| 10.1917 | 2.53685 |
| 10.2587 | 2.536494 |
| 10.326 | 2.536133 |
| 10.3939 | 2.535766 |
| 10.4621 | 2.535394 |
| 10.5308 | 2.535016 |
| 10.6 | 2.534633 |
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
- —
Extraordinary ray (e); room temperature.