Optical constants
Refractive index of AgGaS2 (Silver gallium sulfide, AGS)
Kato and Shirahata 1996: n(o) 0.54–12.9 µm
- Data
- formula 4
- Range
- 0.54–12.9 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
- 2.57477
- Extinction coefficient k
- 0
- Permittivity ε1
- 6.62943
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.690758 µm⁻¹
- Group index ng
- 2.98066
- Group velocity dispersion
- 1619.3 fs²/mm
- Dispersion parameter D
- -8834.15 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(o) 0.54–12.9 µm
aggas2 = ls.fetch_refractiveindex("main", "AgGaS2", "Kato-o", 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_d3b46672cd90/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-o).
# ... 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 | 5.79419 |
| C2 | 0.23114 |
| C3 | 0.0 |
| C4 | 0.06882 |
| C5 | 1.0 |
| C6 | 0.0 |
| C7 | 0.0 |
| C8 | 0.0 |
| C9 | 1.0 |
| C10 | -0.0024534 |
| C11 | 2.0 |
| C12 | 3.1814e-07 |
| C13 | 4.0 |
| C14 | -9.7051e-09 |
| C15 | 6.0 |
Comments and conditions
Conditions
- temperature
- 293 K
- direction
- o
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 | 2.613618 |
| 0.544312 | 2.609533 |
| 0.548658 | 2.605544 |
| 0.553039 | 2.601649 |
| 0.557456 | 2.597846 |
| 0.561907 | 2.59413 |
| 0.566394 | 2.5905 |
| 0.570917 | 2.586953 |
| 0.575475 | 2.583488 |
| 0.580071 | 2.5801 |
| 0.584703 | 2.576789 |
| 0.589372 | 2.573552 |
| 0.594078 | 2.570387 |
| 0.598822 | 2.567291 |
| 0.603603 | 2.564264 |
| 0.608423 | 2.561303 |
| 0.613281 | 2.558407 |
| 0.618178 | 2.555573 |
| 0.623115 | 2.5528 |
| 0.62809 | 2.550087 |
| 0.633106 | 2.547431 |
| 0.638161 | 2.544832 |
| 0.643257 | 2.542287 |
| 0.648393 | 2.539796 |
| 0.653571 | 2.537357 |
| 0.65879 | 2.534969 |
| 0.66405 | 2.53263 |
| 0.669353 | 2.530339 |
| 0.674698 | 2.528095 |
| 0.680085 | 2.525897 |
| 0.685516 | 2.523744 |
| 0.69099 | 2.521635 |
| 0.696507 | 2.519568 |
| 0.702069 | 2.517542 |
| 0.707675 | 2.515557 |
| 0.713326 | 2.513612 |
| 0.719022 | 2.511705 |
| 0.724764 | 2.509835 |
| 0.730551 | 2.508003 |
| 0.736385 | 2.506207 |
| 0.742265 | 2.504445 |
| 0.748192 | 2.502718 |
| 0.754166 | 2.501025 |
| 0.760188 | 2.499364 |
| 0.766258 | 2.497735 |
| 0.772377 | 2.496137 |
| 0.778545 | 2.49457 |
| 0.784761 | 2.493033 |
| 0.791028 | 2.491525 |
| 0.797344 | 2.490046 |
| 0.803711 | 2.488595 |
| 0.810129 | 2.487171 |
| 0.816598 | 2.485773 |
| 0.823119 | 2.484402 |
| 0.829691 | 2.483056 |
| 0.836316 | 2.481735 |
| 0.842995 | 2.480439 |
| 0.849726 | 2.479167 |
| 0.856511 | 2.477918 |
| 0.863351 | 2.476692 |
| 0.870244 | 2.475489 |
| 0.877193 | 2.474307 |
| 0.884198 | 2.473147 |
| 0.891258 | 2.472008 |
| 0.898375 | 2.47089 |
| 0.905549 | 2.469792 |
| 0.91278 | 2.468714 |
| 0.920068 | 2.467655 |
| 0.927415 | 2.466615 |
| 0.934821 | 2.465594 |
| 0.942286 | 2.46459 |
| 0.94981 | 2.463605 |
| 0.957394 | 2.462637 |
| 0.965039 | 2.461686 |
| 0.972745 | 2.460752 |
| 0.980513 | 2.459835 |
| 0.988342 | 2.458933 |
| 0.996234 | 2.458048 |
| 1.00419 | 2.457177 |
| 1.01221 | 2.456322 |
| 1.02029 | 2.455482 |
| 1.02844 | 2.454656 |
| 1.03665 | 2.453845 |
| 1.04493 | 2.453048 |
| 1.05327 | 2.452264 |
| 1.06168 | 2.451494 |
| 1.07016 | 2.450737 |
| 1.0787 | 2.449993 |
| 1.08732 | 2.449261 |
| 1.096 | 2.448542 |
| 1.10475 | 2.447835 |
| 1.11357 | 2.447141 |
| 1.12247 | 2.446457 |
| 1.13143 | 2.445786 |
| 1.14046 | 2.445125 |
| 1.14957 | 2.444476 |
| 1.15875 | 2.443838 |
| 1.168 | 2.44321 |
| 1.17733 | 2.442592 |
| 1.18673 | 2.441985 |
| 1.19621 | 2.441388 |
| 1.20576 | 2.440801 |
| 1.21539 | 2.440223 |
| 1.22509 | 2.439655 |
| 1.23487 | 2.439096 |
| 1.24474 | 2.438546 |
| 1.25467 | 2.438005 |
| 1.26469 | 2.437473 |
| 1.27479 | 2.43695 |
| 1.28497 | 2.436435 |
| 1.29523 | 2.435928 |
| 1.30557 | 2.43543 |
| 1.316 | 2.434939 |
| 1.32651 | 2.434456 |
| 1.3371 | 2.433981 |
| 1.34778 | 2.433514 |
| 1.35854 | 2.433054 |
| 1.36939 | 2.432601 |
| 1.38032 | 2.432155 |
| 1.39134 | 2.431716 |
| 1.40245 | 2.431284 |
| 1.41365 | 2.430859 |
| 1.42494 | 2.43044 |
| 1.43632 | 2.430028 |
| 1.44779 | 2.429622 |
| 1.45935 | 2.429223 |
| 1.471 | 2.428829 |
| 1.48275 | 2.428441 |
| 1.49459 | 2.42806 |
| 1.50652 | 2.427684 |
| 1.51855 | 2.427314 |
| 1.53068 | 2.426949 |
| 1.5429 | 2.42659 |
| 1.55522 | 2.426236 |
| 1.56764 | 2.425887 |
| 1.58016 | 2.425543 |
| 1.59278 | 2.425205 |
| 1.60549 | 2.424871 |
| 1.61831 | 2.424542 |
| 1.63124 | 2.424218 |
| 1.64426 | 2.423899 |
| 1.65739 | 2.423584 |
| 1.67063 | 2.423274 |
| 1.68397 | 2.422968 |
| 1.69741 | 2.422666 |
| 1.71097 | 2.422368 |
| 1.72463 | 2.422075 |
| 1.7384 | 2.421786 |
| 1.75228 | 2.4215 |
| 1.76628 | 2.421219 |
| 1.78038 | 2.420941 |
| 1.7946 | 2.420667 |
| 1.80893 | 2.420397 |
| 1.82337 | 2.42013 |
| 1.83793 | 2.419867 |
| 1.85261 | 2.419607 |
| 1.8674 | 2.41935 |
| 1.88231 | 2.419097 |
| 1.89734 | 2.418847 |
| 1.91249 | 2.4186 |
| 1.92776 | 2.418356 |
| 1.94316 | 2.418115 |
| 1.95867 | 2.417877 |
| 1.97431 | 2.417642 |
| 1.99008 | 2.41741 |
| 2.00597 | 2.417181 |
| 2.02199 | 2.416954 |
| 2.03813 | 2.41673 |
| 2.05441 | 2.416508 |
| 2.07081 | 2.416289 |
| 2.08735 | 2.416073 |
| 2.10402 | 2.415858 |
| 2.12082 | 2.415646 |
| 2.13775 | 2.415437 |
| 2.15482 | 2.415229 |
| 2.17203 | 2.415024 |
| 2.18937 | 2.414821 |
| 2.20686 | 2.41462 |
| 2.22448 | 2.41442 |
| 2.24224 | 2.414223 |
| 2.26014 | 2.414028 |
| 2.27819 | 2.413834 |
| 2.29638 | 2.413643 |
| 2.31472 | 2.413453 |
| 2.3332 | 2.413264 |
| 2.35184 | 2.413078 |
| 2.37062 | 2.412892 |
| 2.38954 | 2.412709 |
| 2.40863 | 2.412527 |
| 2.42786 | 2.412346 |
| 2.44725 | 2.412167 |
| 2.46679 | 2.411989 |
| 2.48648 | 2.411812 |
| 2.50634 | 2.411637 |
| 2.52635 | 2.411462 |
| 2.54653 | 2.411289 |
| 2.56686 | 2.411117 |
| 2.58736 | 2.410947 |
| 2.60802 | 2.410777 |
| 2.62884 | 2.410608 |
| 2.64983 | 2.41044 |
| 2.67099 | 2.410273 |
| 2.69232 | 2.410106 |
| 2.71382 | 2.409941 |
| 2.73549 | 2.409776 |
| 2.75733 | 2.409612 |
| 2.77935 | 2.409449 |
| 2.80155 | 2.409286 |
| 2.82392 | 2.409124 |
| 2.84647 | 2.408962 |
| 2.86919 | 2.408801 |
| 2.89211 | 2.408641 |
| 2.9152 | 2.40848 |
| 2.93848 | 2.40832 |
| 2.96194 | 2.408161 |
| 2.98559 | 2.408002 |
| 3.00943 | 2.407843 |
| 3.03346 | 2.407684 |
| 3.05769 | 2.407525 |
| 3.0821 | 2.407367 |
| 3.10671 | 2.407208 |
| 3.13152 | 2.40705 |
| 3.15653 | 2.406892 |
| 3.18173 | 2.406733 |
| 3.20714 | 2.406575 |
| 3.23275 | 2.406416 |
| 3.25856 | 2.406257 |
| 3.28458 | 2.406098 |
| 3.31081 | 2.405939 |
| 3.33725 | 2.405779 |
| 3.3639 | 2.40562 |
| 3.39076 | 2.405459 |
| 3.41783 | 2.405299 |
| 3.44512 | 2.405138 |
| 3.47263 | 2.404976 |
| 3.50036 | 2.404814 |
| 3.52831 | 2.404651 |
| 3.55649 | 2.404488 |
| 3.58489 | 2.404324 |
| 3.61351 | 2.40416 |
| 3.64237 | 2.403994 |
| 3.67145 | 2.403828 |
| 3.70077 | 2.403661 |
| 3.73032 | 2.403493 |
| 3.76011 | 2.403324 |
| 3.79013 | 2.403154 |
| 3.8204 | 2.402984 |
| 3.8509 | 2.402812 |
| 3.88165 | 2.402639 |
| 3.91265 | 2.402465 |
| 3.94389 | 2.40229 |
| 3.97538 | 2.402113 |
| 4.00713 | 2.401936 |
| 4.03913 | 2.401756 |
| 4.07138 | 2.401576 |
| 4.10389 | 2.401394 |
| 4.13666 | 2.401211 |
| 4.16969 | 2.401026 |
| 4.20299 | 2.40084 |
| 4.23655 | 2.400652 |
| 4.27038 | 2.400462 |
| 4.30448 | 2.400271 |
| 4.33885 | 2.400078 |
| 4.3735 | 2.399883 |
| 4.40842 | 2.399686 |
| 4.44362 | 2.399488 |
| 4.4791 | 2.399287 |
| 4.51487 | 2.399085 |
| 4.55092 | 2.39888 |
| 4.58726 | 2.398673 |
| 4.62389 | 2.398464 |
| 4.66081 | 2.398253 |
| 4.69803 | 2.39804 |
| 4.73554 | 2.397824 |
| 4.77336 | 2.397606 |
| 4.81147 | 2.397386 |
| 4.84989 | 2.397162 |
| 4.88862 | 2.396937 |
| 4.92766 | 2.396709 |
| 4.96701 | 2.396478 |
| 5.00667 | 2.396244 |
| 5.04665 | 2.396007 |
| 5.08695 | 2.395768 |
| 5.12757 | 2.395526 |
| 5.16851 | 2.39528 |
| 5.20978 | 2.395032 |
| 5.25138 | 2.39478 |
| 5.29331 | 2.394526 |
| 5.33558 | 2.394268 |
| 5.37819 | 2.394006 |
| 5.42113 | 2.393742 |
| 5.46442 | 2.393474 |
| 5.50806 | 2.393202 |
| 5.55204 | 2.392926 |
| 5.59637 | 2.392647 |
| 5.64106 | 2.392364 |
| 5.6861 | 2.392078 |
| 5.73151 | 2.391787 |
| 5.77728 | 2.391492 |
| 5.82341 | 2.391194 |
| 5.86991 | 2.390891 |
| 5.91678 | 2.390584 |
| 5.96403 | 2.390272 |
| 6.01165 | 2.389956 |
| 6.05965 | 2.389635 |
| 6.10804 | 2.38931 |
| 6.15681 | 2.38898 |
| 6.20598 | 2.388646 |
| 6.25553 | 2.388306 |
| 6.30548 | 2.387962 |
| 6.35583 | 2.387612 |
| 6.40659 | 2.387257 |
| 6.45774 | 2.386897 |
| 6.50931 | 2.386532 |
| 6.56129 | 2.386161 |
| 6.61368 | 2.385784 |
| 6.66649 | 2.385402 |
| 6.71972 | 2.385013 |
| 6.77338 | 2.384619 |
| 6.82747 | 2.384219 |
| 6.88199 | 2.383813 |
| 6.93694 | 2.3834 |
| 6.99233 | 2.382981 |
| 7.04817 | 2.382555 |
| 7.10445 | 2.382122 |
| 7.16118 | 2.381683 |
| 7.21836 | 2.381237 |
| 7.276 | 2.380783 |
| 7.3341 | 2.380323 |
| 7.39266 | 2.379855 |
| 7.4517 | 2.379379 |
| 7.5112 | 2.378896 |
| 7.57118 | 2.378405 |
| 7.63163 | 2.377906 |
| 7.69257 | 2.377398 |
| 7.754 | 2.376882 |
| 7.81591 | 2.376358 |
| 7.87833 | 2.375825 |
| 7.94124 | 2.375283 |
| 8.00465 | 2.374732 |
| 8.06857 | 2.374172 |
| 8.13299 | 2.373603 |
| 8.19794 | 2.373023 |
| 8.2634 | 2.372434 |
| 8.32938 | 2.371835 |
| 8.39589 | 2.371226 |
| 8.46294 | 2.370606 |
| 8.53051 | 2.369975 |
| 8.59863 | 2.369333 |
| 8.66729 | 2.36868 |
| 8.7365 | 2.368016 |
| 8.80626 | 2.36734 |
| 8.87658 | 2.366652 |
| 8.94746 | 2.365952 |
| 9.01891 | 2.365239 |
| 9.09093 | 2.364513 |
| 9.16352 | 2.363774 |
| 9.23669 | 2.363022 |
| 9.31045 | 2.362257 |
| 9.38479 | 2.361477 |
| 9.45973 | 2.360682 |
| 9.53527 | 2.359874 |
| 9.61141 | 2.35905 |
| 9.68816 | 2.35821 |
| 9.76552 | 2.357355 |
| 9.8435 | 2.356484 |
| 9.9221 | 2.355596 |
| 10.0013 | 2.354691 |
| 10.0812 | 2.353768 |
| 10.1617 | 2.352828 |
| 10.2428 | 2.351869 |
| 10.3246 | 2.350892 |
| 10.4071 | 2.349895 |
| 10.4902 | 2.348879 |
| 10.5739 | 2.347842 |
| 10.6584 | 2.346784 |
| 10.7435 | 2.345705 |
| 10.8293 | 2.344604 |
| 10.9157 | 2.34348 |
| 11.0029 | 2.342333 |
| 11.0908 | 2.341162 |
| 11.1793 | 2.339967 |
| 11.2686 | 2.338746 |
| 11.3586 | 2.3375 |
| 11.4493 | 2.336226 |
| 11.5407 | 2.334926 |
| 11.6328 | 2.333597 |
| 11.7257 | 2.332238 |
| 11.8194 | 2.33085 |
| 11.9137 | 2.329431 |
| 12.0089 | 2.32798 |
| 12.1048 | 2.326496 |
| 12.2014 | 2.324978 |
| 12.2989 | 2.323425 |
| 12.3971 | 2.321836 |
| 12.4961 | 2.32021 |
| 12.5958 | 2.318545 |
| 12.6964 | 2.316841 |
| 12.7978 | 2.315096 |
| 12.9 | 2.313308 |
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); 20.0 °C