Optical constants
Refractive index of AgGaS2 (Silver gallium sulfide, AGS)
Kato and Shirahata 1996: n(e) 0.54–12.9 µm
- Data
- formula 4
- Range
- 0.54–12.9 µm
- Temperature
- 294 K
- 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
- 2.53625
- Extinction coefficient k
- 0
- Permittivity ε1
- 6.43255
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.83736 µm⁻¹
- Group index ng
- 3.02828
- Group velocity dispersion
- 2249.04 fs²/mm
- Dispersion parameter D
- -12269.7 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
# AgGaS2 (Silver gallium sulfide, AGS): Kato and Shirahata 1996: n(e) 0.54–12.9 µm
aggas2 = ls.fetch_refractiveindex("main", "AgGaS2", "Kato-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(aggas2.range_nm) # (540, 12900) nm
eps = aggas2.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_54882f508c11/lightsmith"
aggas2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(aggas2.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (aggas2/kato-shirahata-1996-e).
# ... load aggas2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=aggas2)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=540, 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 0.54 to 12.9 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 5.5412 |
| C2 | 0.22041 |
| C3 | 0.0 |
| C4 | 0.09824 |
| C5 | 1.0 |
| C6 | 0.0 |
| C7 | 0.0 |
| C8 | 0.0 |
| C9 | 1.0 |
| C10 | -0.002524 |
| C11 | 2.0 |
| C12 | 3.6214e-07 |
| C13 | 4.0 |
| C14 | -8.3605e-09 |
| C15 | 6.0 |
Comments and conditions
Conditions
- temperature
- 294 K
- direction
- e
References
2) A. Harasaki and K. Kato. New data on the nonlinear optical constant, phase-matching, and optical damage of AgGaS2. Jpn. J. Appl. Phys., 36, 700-703 (1997)
- doi:10.1143/jjap.35.4645 Nonlinear IR Generation in AgGaS<sub>2</sub>, Japanese Journal of Applied Physics (1996)
- doi:10.1143/jjap.36.700 New Data on the Nonlinear Optical Constant, Phase-Matching, and Optical Damage of AgGaS <sub>2</sub>, Japanese Journal of Applied Physics (1997)
Cite
Kiyoshi Kato Kiyoshi Kato and Hiromichi Shirahata Hiromichi Shirahata. Nonlinear IR Generation in AgGaS<sub>2</sub>. Japanese Journal of Applied Physics, 35, 4645 (1996), doi:10.1143/jjap.35.4645; Akiko Harasaki Akiko Harasaki and Kiyoshi Kato Kiyoshi Kato. New Data on the Nonlinear Optical Constant, Phase-Matching, and Optical Damage of AgGaS <sub>2</sub>. Japanese Journal of Applied Physics, 36, 700 (1997), doi:10.1143/jjap.36.700; 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 |
|---|---|
| 0.54 | 2.584639 |
| 0.544312 | 2.579425 |
| 0.548658 | 2.574364 |
| 0.553039 | 2.569449 |
| 0.557456 | 2.564675 |
| 0.561907 | 2.560036 |
| 0.566394 | 2.555528 |
| 0.570917 | 2.551144 |
| 0.575475 | 2.546882 |
| 0.580071 | 2.542735 |
| 0.584703 | 2.538701 |
| 0.589372 | 2.534775 |
| 0.594078 | 2.530952 |
| 0.598822 | 2.527231 |
| 0.603603 | 2.523606 |
| 0.608423 | 2.520075 |
| 0.613281 | 2.516635 |
| 0.618178 | 2.513282 |
| 0.623115 | 2.510014 |
| 0.62809 | 2.506828 |
| 0.633106 | 2.503721 |
| 0.638161 | 2.50069 |
| 0.643257 | 2.497734 |
| 0.648393 | 2.494849 |
| 0.653571 | 2.492034 |
| 0.65879 | 2.489287 |
| 0.66405 | 2.486604 |
| 0.669353 | 2.483986 |
| 0.674698 | 2.481428 |
| 0.680085 | 2.47893 |
| 0.685516 | 2.47649 |
| 0.69099 | 2.474107 |
| 0.696507 | 2.471777 |
| 0.702069 | 2.469501 |
| 0.707675 | 2.467276 |
| 0.713326 | 2.465101 |
| 0.719022 | 2.462975 |
| 0.724764 | 2.460895 |
| 0.730551 | 2.458862 |
| 0.736385 | 2.456873 |
| 0.742265 | 2.454928 |
| 0.748192 | 2.453025 |
| 0.754166 | 2.451162 |
| 0.760188 | 2.44934 |
| 0.766258 | 2.447557 |
| 0.772377 | 2.445812 |
| 0.778545 | 2.444103 |
| 0.784761 | 2.442431 |
| 0.791028 | 2.440793 |
| 0.797344 | 2.43919 |
| 0.803711 | 2.43762 |
| 0.810129 | 2.436082 |
| 0.816598 | 2.434576 |
| 0.823119 | 2.4331 |
| 0.829691 | 2.431655 |
| 0.836316 | 2.430239 |
| 0.842995 | 2.428851 |
| 0.849726 | 2.427492 |
| 0.856511 | 2.426159 |
| 0.863351 | 2.424853 |
| 0.870244 | 2.423573 |
| 0.877193 | 2.422318 |
| 0.884198 | 2.421088 |
| 0.891258 | 2.419882 |
| 0.898375 | 2.4187 |
| 0.905549 | 2.41754 |
| 0.91278 | 2.416403 |
| 0.920068 | 2.415288 |
| 0.927415 | 2.414194 |
| 0.934821 | 2.413122 |
| 0.942286 | 2.412069 |
| 0.94981 | 2.411037 |
| 0.957394 | 2.410024 |
| 0.965039 | 2.409031 |
| 0.972745 | 2.408056 |
| 0.980513 | 2.407099 |
| 0.988342 | 2.40616 |
| 0.996234 | 2.405238 |
| 1.00419 | 2.404334 |
| 1.01221 | 2.403446 |
| 1.02029 | 2.402575 |
| 1.02844 | 2.40172 |
| 1.03665 | 2.40088 |
| 1.04493 | 2.400056 |
| 1.05327 | 2.399246 |
| 1.06168 | 2.398451 |
| 1.07016 | 2.397671 |
| 1.0787 | 2.396904 |
| 1.08732 | 2.396152 |
| 1.096 | 2.395412 |
| 1.10475 | 2.394686 |
| 1.11357 | 2.393973 |
| 1.12247 | 2.393272 |
| 1.13143 | 2.392584 |
| 1.14046 | 2.391908 |
| 1.14957 | 2.391244 |
| 1.15875 | 2.390591 |
| 1.168 | 2.389949 |
| 1.17733 | 2.389319 |
| 1.18673 | 2.3887 |
| 1.19621 | 2.388091 |
| 1.20576 | 2.387493 |
| 1.21539 | 2.386905 |
| 1.22509 | 2.386327 |
| 1.23487 | 2.385759 |
| 1.24474 | 2.3852 |
| 1.25467 | 2.384651 |
| 1.26469 | 2.384111 |
| 1.27479 | 2.38358 |
| 1.28497 | 2.383058 |
| 1.29523 | 2.382545 |
| 1.30557 | 2.38204 |
| 1.316 | 2.381544 |
| 1.32651 | 2.381056 |
| 1.3371 | 2.380576 |
| 1.34778 | 2.380103 |
| 1.35854 | 2.379639 |
| 1.36939 | 2.379181 |
| 1.38032 | 2.378732 |
| 1.39134 | 2.378289 |
| 1.40245 | 2.377854 |
| 1.41365 | 2.377425 |
| 1.42494 | 2.377004 |
| 1.43632 | 2.376589 |
| 1.44779 | 2.376181 |
| 1.45935 | 2.375779 |
| 1.471 | 2.375383 |
| 1.48275 | 2.374994 |
| 1.49459 | 2.37461 |
| 1.50652 | 2.374233 |
| 1.51855 | 2.373861 |
| 1.53068 | 2.373495 |
| 1.5429 | 2.373134 |
| 1.55522 | 2.372779 |
| 1.56764 | 2.37243 |
| 1.58016 | 2.372085 |
| 1.59278 | 2.371746 |
| 1.60549 | 2.371412 |
| 1.61831 | 2.371082 |
| 1.63124 | 2.370758 |
| 1.64426 | 2.370438 |
| 1.65739 | 2.370123 |
| 1.67063 | 2.369812 |
| 1.68397 | 2.369506 |
| 1.69741 | 2.369205 |
| 1.71097 | 2.368907 |
| 1.72463 | 2.368614 |
| 1.7384 | 2.368324 |
| 1.75228 | 2.368039 |
| 1.76628 | 2.367758 |
| 1.78038 | 2.36748 |
| 1.7946 | 2.367206 |
| 1.80893 | 2.366936 |
| 1.82337 | 2.36667 |
| 1.83793 | 2.366407 |
| 1.85261 | 2.366147 |
| 1.8674 | 2.365891 |
| 1.88231 | 2.365638 |
| 1.89734 | 2.365388 |
| 1.91249 | 2.365142 |
| 1.92776 | 2.364898 |
| 1.94316 | 2.364658 |
| 1.95867 | 2.36442 |
| 1.97431 | 2.364186 |
| 1.99008 | 2.363954 |
| 2.00597 | 2.363725 |
| 2.02199 | 2.363498 |
| 2.03813 | 2.363274 |
| 2.05441 | 2.363053 |
| 2.07081 | 2.362834 |
| 2.08735 | 2.362618 |
| 2.10402 | 2.362404 |
| 2.12082 | 2.362192 |
| 2.13775 | 2.361983 |
| 2.15482 | 2.361775 |
| 2.17203 | 2.36157 |
| 2.18937 | 2.361367 |
| 2.20686 | 2.361166 |
| 2.22448 | 2.360967 |
| 2.24224 | 2.360769 |
| 2.26014 | 2.360574 |
| 2.27819 | 2.36038 |
| 2.29638 | 2.360188 |
| 2.31472 | 2.359998 |
| 2.3332 | 2.35981 |
| 2.35184 | 2.359623 |
| 2.37062 | 2.359437 |
| 2.38954 | 2.359253 |
| 2.40863 | 2.359071 |
| 2.42786 | 2.358889 |
| 2.44725 | 2.35871 |
| 2.46679 | 2.358531 |
| 2.48648 | 2.358354 |
| 2.50634 | 2.358178 |
| 2.52635 | 2.358003 |
| 2.54653 | 2.357829 |
| 2.56686 | 2.357656 |
| 2.58736 | 2.357484 |
| 2.60802 | 2.357313 |
| 2.62884 | 2.357143 |
| 2.64983 | 2.356974 |
| 2.67099 | 2.356806 |
| 2.69232 | 2.356639 |
| 2.71382 | 2.356472 |
| 2.73549 | 2.356306 |
| 2.75733 | 2.35614 |
| 2.77935 | 2.355976 |
| 2.80155 | 2.355811 |
| 2.82392 | 2.355648 |
| 2.84647 | 2.355484 |
| 2.86919 | 2.355321 |
| 2.89211 | 2.355159 |
| 2.9152 | 2.354997 |
| 2.93848 | 2.354835 |
| 2.96194 | 2.354673 |
| 2.98559 | 2.354512 |
| 3.00943 | 2.354351 |
| 3.03346 | 2.35419 |
| 3.05769 | 2.354029 |
| 3.0821 | 2.353868 |
| 3.10671 | 2.353707 |
| 3.13152 | 2.353546 |
| 3.15653 | 2.353385 |
| 3.18173 | 2.353224 |
| 3.20714 | 2.353063 |
| 3.23275 | 2.352901 |
| 3.25856 | 2.352739 |
| 3.28458 | 2.352577 |
| 3.31081 | 2.352415 |
| 3.33725 | 2.352252 |
| 3.3639 | 2.352089 |
| 3.39076 | 2.351925 |
| 3.41783 | 2.351761 |
| 3.44512 | 2.351596 |
| 3.47263 | 2.351431 |
| 3.50036 | 2.351265 |
| 3.52831 | 2.351099 |
| 3.55649 | 2.350931 |
| 3.58489 | 2.350763 |
| 3.61351 | 2.350594 |
| 3.64237 | 2.350425 |
| 3.67145 | 2.350254 |
| 3.70077 | 2.350083 |
| 3.73032 | 2.34991 |
| 3.76011 | 2.349737 |
| 3.79013 | 2.349562 |
| 3.8204 | 2.349386 |
| 3.8509 | 2.349209 |
| 3.88165 | 2.349031 |
| 3.91265 | 2.348852 |
| 3.94389 | 2.348671 |
| 3.97538 | 2.34849 |
| 4.00713 | 2.348306 |
| 4.03913 | 2.348121 |
| 4.07138 | 2.347935 |
| 4.10389 | 2.347747 |
| 4.13666 | 2.347558 |
| 4.16969 | 2.347367 |
| 4.20299 | 2.347174 |
| 4.23655 | 2.34698 |
| 4.27038 | 2.346784 |
| 4.30448 | 2.346586 |
| 4.33885 | 2.346386 |
| 4.3735 | 2.346184 |
| 4.40842 | 2.34598 |
| 4.44362 | 2.345774 |
| 4.4791 | 2.345566 |
| 4.51487 | 2.345356 |
| 4.55092 | 2.345144 |
| 4.58726 | 2.344929 |
| 4.62389 | 2.344712 |
| 4.66081 | 2.344493 |
| 4.69803 | 2.344272 |
| 4.73554 | 2.344047 |
| 4.77336 | 2.343821 |
| 4.81147 | 2.343591 |
| 4.84989 | 2.343359 |
| 4.88862 | 2.343125 |
| 4.92766 | 2.342887 |
| 4.96701 | 2.342647 |
| 5.00667 | 2.342404 |
| 5.04665 | 2.342157 |
| 5.08695 | 2.341908 |
| 5.12757 | 2.341656 |
| 5.16851 | 2.3414 |
| 5.20978 | 2.341142 |
| 5.25138 | 2.340879 |
| 5.29331 | 2.340614 |
| 5.33558 | 2.340345 |
| 5.37819 | 2.340073 |
| 5.42113 | 2.339797 |
| 5.46442 | 2.339517 |
| 5.50806 | 2.339234 |
| 5.55204 | 2.338946 |
| 5.59637 | 2.338655 |
| 5.64106 | 2.33836 |
| 5.6861 | 2.338061 |
| 5.73151 | 2.337758 |
| 5.77728 | 2.33745 |
| 5.82341 | 2.337138 |
| 5.86991 | 2.336822 |
| 5.91678 | 2.336501 |
| 5.96403 | 2.336176 |
| 6.01165 | 2.335846 |
| 6.05965 | 2.335511 |
| 6.10804 | 2.335172 |
| 6.15681 | 2.334827 |
| 6.20598 | 2.334478 |
| 6.25553 | 2.334123 |
| 6.30548 | 2.333764 |
| 6.35583 | 2.333398 |
| 6.40659 | 2.333028 |
| 6.45774 | 2.332652 |
| 6.50931 | 2.33227 |
| 6.56129 | 2.331883 |
| 6.61368 | 2.331489 |
| 6.66649 | 2.33109 |
| 6.71972 | 2.330684 |
| 6.77338 | 2.330273 |
| 6.82747 | 2.329855 |
| 6.88199 | 2.329431 |
| 6.93694 | 2.329 |
| 6.99233 | 2.328562 |
| 7.04817 | 2.328117 |
| 7.10445 | 2.327666 |
| 7.16118 | 2.327207 |
| 7.21836 | 2.326742 |
| 7.276 | 2.326268 |
| 7.3341 | 2.325788 |
| 7.39266 | 2.325299 |
| 7.4517 | 2.324803 |
| 7.5112 | 2.324299 |
| 7.57118 | 2.323787 |
| 7.63163 | 2.323266 |
| 7.69257 | 2.322737 |
| 7.754 | 2.322199 |
| 7.81591 | 2.321653 |
| 7.87833 | 2.321097 |
| 7.94124 | 2.320533 |
| 8.00465 | 2.319959 |
| 8.06857 | 2.319375 |
| 8.13299 | 2.318782 |
| 8.19794 | 2.318179 |
| 8.2634 | 2.317566 |
| 8.32938 | 2.316942 |
| 8.39589 | 2.316308 |
| 8.46294 | 2.315663 |
| 8.53051 | 2.315007 |
| 8.59863 | 2.31434 |
| 8.66729 | 2.313661 |
| 8.7365 | 2.312971 |
| 8.80626 | 2.312269 |
| 8.87658 | 2.311554 |
| 8.94746 | 2.310827 |
| 9.01891 | 2.310088 |
| 9.09093 | 2.309335 |
| 9.16352 | 2.308569 |
| 9.23669 | 2.307789 |
| 9.31045 | 2.306996 |
| 9.38479 | 2.306188 |
| 9.45973 | 2.305366 |
| 9.53527 | 2.304528 |
| 9.61141 | 2.303676 |
| 9.68816 | 2.302808 |
| 9.76552 | 2.301924 |
| 9.8435 | 2.301024 |
| 9.9221 | 2.300107 |
| 10.0013 | 2.299173 |
| 10.0812 | 2.298221 |
| 10.1617 | 2.297252 |
| 10.2428 | 2.296264 |
| 10.3246 | 2.295257 |
| 10.4071 | 2.294231 |
| 10.4902 | 2.293185 |
| 10.5739 | 2.292119 |
| 10.6584 | 2.291033 |
| 10.7435 | 2.289924 |
| 10.8293 | 2.288795 |
| 10.9157 | 2.287642 |
| 11.0029 | 2.286467 |
| 11.0908 | 2.285268 |
| 11.1793 | 2.284044 |
| 11.2686 | 2.282796 |
| 11.3586 | 2.281522 |
| 11.4493 | 2.280222 |
| 11.5407 | 2.278895 |
| 11.6328 | 2.27754 |
| 11.7257 | 2.276156 |
| 11.8194 | 2.274743 |
| 11.9137 | 2.2733 |
| 12.0089 | 2.271826 |
| 12.1048 | 2.270319 |
| 12.2014 | 2.26878 |
| 12.2989 | 2.267206 |
| 12.3971 | 2.265598 |
| 12.4961 | 2.263953 |
| 12.5958 | 2.262271 |
| 12.6964 | 2.260551 |
| 12.7978 | 2.258791 |
| 12.9 | 2.256991 |
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); 20.0 °C