Optical constants
Refractive index of BaGa2GeSe6 (BGGSe)
Kato et al. 2018: n(o) 0.778–10.6 µm
- Data
- formula 4
- Range
- 0.778–10.6 µm
- 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
- 2.48913
- Extinction coefficient k
- 0
- Permittivity ε1
- 6.19578
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00583674 µm⁻¹
- Group index ng
- 2.50588
- Group velocity dispersion
- 189.333 fs²/mm
- Dispersion parameter D
- -43.2975 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(o) 0.778–10.6 µm
baga2gese6 = ls.fetch_refractiveindex("main", "BaGa2GeSe6", "Kato-o", 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_3da9313c651e/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-o).
# ... 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 | 7.39367 |
| C2 | 0.27086 |
| C3 | 0.0 |
| C4 | 0.06961 |
| C5 | 1.0 |
| C6 | 1513.1 |
| C7 | 0.0 |
| C8 | 1237.35 |
| C9 | 1.0 |
Comments and conditions
Conditions
- direction
- o
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 | 2.583768 |
| 0.78311 | 2.582331 |
| 0.788253 | 2.580916 |
| 0.79343 | 2.579523 |
| 0.79864 | 2.578152 |
| 0.803886 | 2.576803 |
| 0.809165 | 2.575474 |
| 0.814479 | 2.574166 |
| 0.819828 | 2.572879 |
| 0.825213 | 2.571611 |
| 0.830632 | 2.570363 |
| 0.836088 | 2.569134 |
| 0.841579 | 2.567924 |
| 0.847106 | 2.566732 |
| 0.852669 | 2.565559 |
| 0.858269 | 2.564403 |
| 0.863906 | 2.563265 |
| 0.869579 | 2.562145 |
| 0.87529 | 2.561041 |
| 0.881039 | 2.559954 |
| 0.886825 | 2.558884 |
| 0.89265 | 2.557829 |
| 0.898512 | 2.55679 |
| 0.904413 | 2.555767 |
| 0.910353 | 2.55476 |
| 0.916332 | 2.553767 |
| 0.92235 | 2.552789 |
| 0.928407 | 2.551826 |
| 0.934505 | 2.550877 |
| 0.940642 | 2.549942 |
| 0.94682 | 2.549021 |
| 0.953038 | 2.548113 |
| 0.959297 | 2.547219 |
| 0.965597 | 2.546338 |
| 0.971939 | 2.54547 |
| 0.978322 | 2.544614 |
| 0.984747 | 2.543771 |
| 0.991215 | 2.542941 |
| 0.997725 | 2.542122 |
| 1.00428 | 2.541315 |
| 1.01087 | 2.540521 |
| 1.01751 | 2.539737 |
| 1.02419 | 2.538965 |
| 1.03092 | 2.538204 |
| 1.03769 | 2.537454 |
| 1.04451 | 2.536715 |
| 1.05137 | 2.535987 |
| 1.05827 | 2.535269 |
| 1.06522 | 2.534561 |
| 1.07222 | 2.533864 |
| 1.07926 | 2.533176 |
| 1.08635 | 2.532498 |
| 1.09348 | 2.53183 |
| 1.10066 | 2.531171 |
| 1.10789 | 2.530522 |
| 1.11517 | 2.529882 |
| 1.12249 | 2.529251 |
| 1.12986 | 2.528629 |
| 1.13728 | 2.528015 |
| 1.14475 | 2.527411 |
| 1.15227 | 2.526814 |
| 1.15984 | 2.526226 |
| 1.16746 | 2.525647 |
| 1.17512 | 2.525075 |
| 1.18284 | 2.524512 |
| 1.19061 | 2.523956 |
| 1.19843 | 2.523408 |
| 1.2063 | 2.522868 |
| 1.21422 | 2.522335 |
| 1.2222 | 2.52181 |
| 1.23022 | 2.521292 |
| 1.2383 | 2.520781 |
| 1.24644 | 2.520277 |
| 1.25462 | 2.519781 |
| 1.26286 | 2.519291 |
| 1.27116 | 2.518807 |
| 1.2795 | 2.518331 |
| 1.28791 | 2.517861 |
| 1.29637 | 2.517397 |
| 1.30488 | 2.51694 |
| 1.31345 | 2.516489 |
| 1.32208 | 2.516044 |
| 1.33076 | 2.515605 |
| 1.3395 | 2.515172 |
| 1.3483 | 2.514745 |
| 1.35715 | 2.514324 |
| 1.36606 | 2.513909 |
| 1.37504 | 2.513499 |
| 1.38407 | 2.513095 |
| 1.39316 | 2.512696 |
| 1.40231 | 2.512302 |
| 1.41152 | 2.511914 |
| 1.42079 | 2.511531 |
| 1.43012 | 2.511153 |
| 1.43951 | 2.510781 |
| 1.44896 | 2.510413 |
| 1.45848 | 2.51005 |
| 1.46806 | 2.509692 |
| 1.4777 | 2.509339 |
| 1.4874 | 2.50899 |
| 1.49717 | 2.508646 |
| 1.50701 | 2.508307 |
| 1.5169 | 2.507972 |
| 1.52687 | 2.507641 |
| 1.53689 | 2.507315 |
| 1.54699 | 2.506993 |
| 1.55715 | 2.506676 |
| 1.56737 | 2.506362 |
| 1.57767 | 2.506053 |
| 1.58803 | 2.505748 |
| 1.59846 | 2.505447 |
| 1.60896 | 2.505149 |
| 1.61952 | 2.504856 |
| 1.63016 | 2.504566 |
| 1.64086 | 2.50428 |
| 1.65164 | 2.503998 |
| 1.66249 | 2.503719 |
| 1.67341 | 2.503444 |
| 1.6844 | 2.503173 |
| 1.69546 | 2.502905 |
| 1.70659 | 2.50264 |
| 1.7178 | 2.502379 |
| 1.72908 | 2.502121 |
| 1.74044 | 2.501866 |
| 1.75187 | 2.501615 |
| 1.76338 | 2.501367 |
| 1.77496 | 2.501122 |
| 1.78661 | 2.50088 |
| 1.79835 | 2.500641 |
| 1.81016 | 2.500405 |
| 1.82205 | 2.500172 |
| 1.83401 | 2.499942 |
| 1.84606 | 2.499715 |
| 1.85818 | 2.49949 |
| 1.87039 | 2.499269 |
| 1.88267 | 2.49905 |
| 1.89503 | 2.498834 |
| 1.90748 | 2.49862 |
| 1.92001 | 2.498409 |
| 1.93262 | 2.498201 |
| 1.94531 | 2.497995 |
| 1.95809 | 2.497792 |
| 1.97095 | 2.497591 |
| 1.98389 | 2.497393 |
| 1.99692 | 2.497197 |
| 2.01003 | 2.497003 |
| 2.02324 | 2.496812 |
| 2.03652 | 2.496623 |
| 2.0499 | 2.496436 |
| 2.06336 | 2.496251 |
| 2.07691 | 2.496069 |
| 2.09055 | 2.495888 |
| 2.10428 | 2.49571 |
| 2.1181 | 2.495534 |
| 2.13201 | 2.49536 |
| 2.14601 | 2.495188 |
| 2.16011 | 2.495018 |
| 2.1743 | 2.49485 |
| 2.18857 | 2.494683 |
| 2.20295 | 2.494519 |
| 2.21742 | 2.494356 |
| 2.23198 | 2.494196 |
| 2.24664 | 2.494037 |
| 2.26139 | 2.49388 |
| 2.27624 | 2.493724 |
| 2.29119 | 2.493571 |
| 2.30624 | 2.493419 |
| 2.32139 | 2.493268 |
| 2.33663 | 2.49312 |
| 2.35198 | 2.492972 |
| 2.36743 | 2.492827 |
| 2.38297 | 2.492683 |
| 2.39862 | 2.49254 |
| 2.41438 | 2.492399 |
| 2.43023 | 2.49226 |
| 2.4462 | 2.492122 |
| 2.46226 | 2.491985 |
| 2.47843 | 2.49185 |
| 2.49471 | 2.491716 |
| 2.51109 | 2.491583 |
| 2.52758 | 2.491452 |
| 2.54418 | 2.491322 |
| 2.56089 | 2.491193 |
| 2.57771 | 2.491066 |
| 2.59464 | 2.490939 |
| 2.61168 | 2.490814 |
| 2.62883 | 2.490691 |
| 2.6461 | 2.490568 |
| 2.66348 | 2.490446 |
| 2.68097 | 2.490326 |
| 2.69858 | 2.490206 |
| 2.7163 | 2.490088 |
| 2.73414 | 2.489971 |
| 2.7521 | 2.489855 |
| 2.77017 | 2.48974 |
| 2.78836 | 2.489625 |
| 2.80668 | 2.489512 |
| 2.82511 | 2.4894 |
| 2.84366 | 2.489288 |
| 2.86234 | 2.489178 |
| 2.88114 | 2.489068 |
| 2.90006 | 2.48896 |
| 2.91911 | 2.488852 |
| 2.93828 | 2.488745 |
| 2.95758 | 2.488639 |
| 2.977 | 2.488533 |
| 2.99655 | 2.488428 |
| 3.01623 | 2.488325 |
| 3.03604 | 2.488221 |
| 3.05598 | 2.488119 |
| 3.07605 | 2.488017 |
| 3.09625 | 2.487916 |
| 3.11659 | 2.487816 |
| 3.13706 | 2.487716 |
| 3.15766 | 2.487617 |
| 3.1784 | 2.487518 |
| 3.19927 | 2.48742 |
| 3.22028 | 2.487323 |
| 3.24143 | 2.487226 |
| 3.26272 | 2.48713 |
| 3.28415 | 2.487034 |
| 3.30572 | 2.486939 |
| 3.32743 | 2.486844 |
| 3.34928 | 2.48675 |
| 3.37128 | 2.486656 |
| 3.39342 | 2.486562 |
| 3.4157 | 2.486469 |
| 3.43814 | 2.486377 |
| 3.46072 | 2.486285 |
| 3.48345 | 2.486193 |
| 3.50632 | 2.486101 |
| 3.52935 | 2.48601 |
| 3.55253 | 2.485919 |
| 3.57586 | 2.485829 |
| 3.59935 | 2.485739 |
| 3.62298 | 2.485649 |
| 3.64678 | 2.485559 |
| 3.67073 | 2.485469 |
| 3.69484 | 2.48538 |
| 3.7191 | 2.485291 |
| 3.74353 | 2.485202 |
| 3.76811 | 2.485114 |
| 3.79286 | 2.485025 |
| 3.81777 | 2.484937 |
| 3.84284 | 2.484849 |
| 3.86808 | 2.48476 |
| 3.89349 | 2.484672 |
| 3.91906 | 2.484585 |
| 3.9448 | 2.484497 |
| 3.9707 | 2.484409 |
| 3.99678 | 2.484321 |
| 4.02303 | 2.484233 |
| 4.04945 | 2.484146 |
| 4.07605 | 2.484058 |
| 4.10282 | 2.48397 |
| 4.12976 | 2.483882 |
| 4.15688 | 2.483794 |
| 4.18418 | 2.483706 |
| 4.21166 | 2.483618 |
| 4.23932 | 2.48353 |
| 4.26717 | 2.483442 |
| 4.29519 | 2.483353 |
| 4.3234 | 2.483265 |
| 4.35179 | 2.483176 |
| 4.38037 | 2.483087 |
| 4.40914 | 2.482998 |
| 4.4381 | 2.482908 |
| 4.46725 | 2.482819 |
| 4.49659 | 2.482729 |
| 4.52612 | 2.482639 |
| 4.55584 | 2.482548 |
| 4.58576 | 2.482458 |
| 4.61588 | 2.482366 |
| 4.6462 | 2.482275 |
| 4.67671 | 2.482183 |
| 4.70743 | 2.482091 |
| 4.73834 | 2.481999 |
| 4.76946 | 2.481906 |
| 4.80078 | 2.481812 |
| 4.83231 | 2.481719 |
| 4.86405 | 2.481624 |
| 4.89599 | 2.48153 |
| 4.92815 | 2.481434 |
| 4.96052 | 2.481339 |
| 4.99309 | 2.481242 |
| 5.02589 | 2.481146 |
| 5.05889 | 2.481048 |
| 5.09212 | 2.48095 |
| 5.12556 | 2.480852 |
| 5.15922 | 2.480753 |
| 5.19311 | 2.480653 |
| 5.22721 | 2.480552 |
| 5.26154 | 2.480451 |
| 5.2961 | 2.480349 |
| 5.33088 | 2.480247 |
| 5.36589 | 2.480143 |
| 5.40113 | 2.480039 |
| 5.4366 | 2.479935 |
| 5.47231 | 2.479829 |
| 5.50825 | 2.479722 |
| 5.54442 | 2.479615 |
| 5.58084 | 2.479507 |
| 5.61749 | 2.479398 |
| 5.65438 | 2.479288 |
| 5.69152 | 2.479177 |
| 5.7289 | 2.479065 |
| 5.76652 | 2.478953 |
| 5.80439 | 2.478839 |
| 5.84252 | 2.478724 |
| 5.88089 | 2.478608 |
| 5.91951 | 2.478492 |
| 5.95839 | 2.478374 |
| 5.99752 | 2.478255 |
| 6.03691 | 2.478135 |
| 6.07655 | 2.478013 |
| 6.11646 | 2.477891 |
| 6.15663 | 2.477767 |
| 6.19707 | 2.477642 |
| 6.23777 | 2.477516 |
| 6.27873 | 2.477389 |
| 6.31997 | 2.47726 |
| 6.36148 | 2.47713 |
| 6.40325 | 2.476999 |
| 6.44531 | 2.476866 |
| 6.48764 | 2.476732 |
| 6.53025 | 2.476596 |
| 6.57313 | 2.476459 |
| 6.6163 | 2.47632 |
| 6.65976 | 2.47618 |
| 6.70349 | 2.476039 |
| 6.74752 | 2.475895 |
| 6.79183 | 2.475751 |
| 6.83644 | 2.475604 |
| 6.88134 | 2.475456 |
| 6.92653 | 2.475306 |
| 6.97202 | 2.475155 |
| 7.01781 | 2.475001 |
| 7.0639 | 2.474846 |
| 7.11029 | 2.474689 |
| 7.15699 | 2.474531 |
| 7.204 | 2.47437 |
| 7.25131 | 2.474207 |
| 7.29893 | 2.474043 |
| 7.34687 | 2.473876 |
| 7.39512 | 2.473707 |
| 7.44369 | 2.473537 |
| 7.49257 | 2.473364 |
| 7.54178 | 2.473189 |
| 7.59131 | 2.473011 |
| 7.64117 | 2.472832 |
| 7.69135 | 2.47265 |
| 7.74186 | 2.472466 |
| 7.79271 | 2.47228 |
| 7.84389 | 2.472091 |
| 7.8954 | 2.4719 |
| 7.94726 | 2.471706 |
| 7.99945 | 2.47151 |
| 8.05199 | 2.471311 |
| 8.10487 | 2.47111 |
| 8.1581 | 2.470906 |
| 8.21168 | 2.470699 |
| 8.26561 | 2.470489 |
| 8.31989 | 2.470277 |
| 8.37453 | 2.470062 |
| 8.42953 | 2.469844 |
| 8.4849 | 2.469622 |
| 8.54062 | 2.469398 |
| 8.59671 | 2.469171 |
| 8.65317 | 2.468941 |
| 8.71 | 2.468707 |
| 8.7672 | 2.468471 |
| 8.82478 | 2.468231 |
| 8.88274 | 2.467987 |
| 8.94108 | 2.46774 |
| 8.9998 | 2.46749 |
| 9.05891 | 2.467236 |
| 9.1184 | 2.466979 |
| 9.17829 | 2.466718 |
| 9.23856 | 2.466453 |
| 9.29924 | 2.466184 |
| 9.36031 | 2.465912 |
| 9.42179 | 2.465635 |
| 9.48366 | 2.465355 |
| 9.54595 | 2.46507 |
| 9.60864 | 2.464782 |
| 9.67175 | 2.464489 |
| 9.73527 | 2.464192 |
| 9.7992 | 2.46389 |
| 9.86356 | 2.463584 |
| 9.92834 | 2.463273 |
| 9.99354 | 2.462958 |
| 10.0592 | 2.462638 |
| 10.1252 | 2.462313 |
| 10.1917 | 2.461983 |
| 10.2587 | 2.461649 |
| 10.326 | 2.461309 |
| 10.3939 | 2.460964 |
| 10.4621 | 2.460614 |
| 10.5308 | 2.460258 |
| 10.6 | 2.459897 |
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
- —
Ordinary ray (o); room temperature.