Optical constants
Refractive index of AgGaS2 (Silver gallium sulfide, AGS)
Takaoka and Kato 1999: n(o) 0.58–10.59 µm
- Data
- formula 4
- Range
- 0.58–10.59 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
- 2.57536
- Extinction coefficient k
- 0
- Permittivity ε1
- 6.6325
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.690406 µm⁻¹
- Group index ng
- 2.98105
- Group velocity dispersion
- 1618.29 fs²/mm
- Dispersion parameter D
- -8828.63 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): Takaoka and Kato 1999: n(o) 0.58–10.59 µm
aggas2 = ls.fetch_refractiveindex("main", "AgGaS2", "Takaoka-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(aggas2.range_nm) # (580, 10590) 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_b805fa80fe42/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/takaoka-kato-1999-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=580, 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 0.58 to 10.59 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 5.7975 |
| C2 | 0.2311 |
| C3 | 0.0 |
| C4 | 0.0688 |
| C5 | 1.0 |
| C6 | 0.0 |
| C7 | 0.0 |
| C8 | 0.0 |
| C9 | 1.0 |
| C10 | -0.00257 |
| C11 | 2.0 |
Comments and conditions
Conditions
- temperature
- 293 K
- direction
- o
References
- doi:10.1364/ao.38.004577 Thermo-optic dispersion formula for AgGaS_2, Applied Optics (1999)
Cite
Eiko Takaoka and Kiyoshi Kato. Thermo-optic dispersion formula for AgGaS_2. Applied Optics, 38, 4577 (1999), doi:10.1364/ao.38.004577; 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 |
|---|---|
| 0.58 | 2.580744 |
| 0.584238 | 2.57771 |
| 0.588506 | 2.57474 |
| 0.592806 | 2.571829 |
| 0.597137 | 2.568978 |
| 0.6015 | 2.566184 |
| 0.605895 | 2.563446 |
| 0.610322 | 2.560763 |
| 0.614781 | 2.558134 |
| 0.619273 | 2.555556 |
| 0.623798 | 2.553029 |
| 0.628355 | 2.550552 |
| 0.632946 | 2.548123 |
| 0.637571 | 2.545741 |
| 0.642229 | 2.543405 |
| 0.646922 | 2.541114 |
| 0.651648 | 2.538867 |
| 0.656409 | 2.536663 |
| 0.661205 | 2.534501 |
| 0.666036 | 2.53238 |
| 0.670903 | 2.530299 |
| 0.675804 | 2.528256 |
| 0.680742 | 2.526252 |
| 0.685716 | 2.524286 |
| 0.690726 | 2.522355 |
| 0.695773 | 2.520461 |
| 0.700856 | 2.518601 |
| 0.705977 | 2.516775 |
| 0.711135 | 2.514983 |
| 0.716331 | 2.513223 |
| 0.721565 | 2.511495 |
| 0.726837 | 2.509799 |
| 0.732147 | 2.508133 |
| 0.737496 | 2.506497 |
| 0.742885 | 2.50489 |
| 0.748313 | 2.503311 |
| 0.75378 | 2.501761 |
| 0.759287 | 2.500239 |
| 0.764835 | 2.498743 |
| 0.770423 | 2.497273 |
| 0.776052 | 2.495829 |
| 0.781722 | 2.494411 |
| 0.787434 | 2.493017 |
| 0.793187 | 2.491647 |
| 0.798982 | 2.490302 |
| 0.80482 | 2.488979 |
| 0.8107 | 2.487679 |
| 0.816624 | 2.486402 |
| 0.82259 | 2.485146 |
| 0.8286 | 2.483912 |
| 0.834654 | 2.482699 |
| 0.840753 | 2.481506 |
| 0.846896 | 2.480334 |
| 0.853083 | 2.479181 |
| 0.859316 | 2.478048 |
| 0.865595 | 2.476934 |
| 0.871919 | 2.475838 |
| 0.87829 | 2.474761 |
| 0.884707 | 2.473702 |
| 0.891171 | 2.47266 |
| 0.897682 | 2.471636 |
| 0.904241 | 2.470628 |
| 0.910847 | 2.469638 |
| 0.917502 | 2.468663 |
| 0.924206 | 2.467705 |
| 0.930958 | 2.466762 |
| 0.93776 | 2.465834 |
| 0.944612 | 2.464922 |
| 0.951514 | 2.464025 |
| 0.958466 | 2.463142 |
| 0.965469 | 2.462273 |
| 0.972523 | 2.461419 |
| 0.979628 | 2.460578 |
| 0.986786 | 2.45975 |
| 0.993996 | 2.458936 |
| 1.00126 | 2.458135 |
| 1.00857 | 2.457347 |
| 1.01594 | 2.456571 |
| 1.02337 | 2.455808 |
| 1.03084 | 2.455056 |
| 1.03837 | 2.454317 |
| 1.04596 | 2.453589 |
| 1.0536 | 2.452873 |
| 1.0613 | 2.452168 |
| 1.06906 | 2.451474 |
| 1.07687 | 2.450791 |
| 1.08473 | 2.450118 |
| 1.09266 | 2.449456 |
| 1.10064 | 2.448804 |
| 1.10868 | 2.448162 |
| 1.11679 | 2.447531 |
| 1.12494 | 2.446909 |
| 1.13316 | 2.446296 |
| 1.14144 | 2.445693 |
| 1.14978 | 2.445099 |
| 1.15818 | 2.444514 |
| 1.16665 | 2.443939 |
| 1.17517 | 2.443371 |
| 1.18376 | 2.442813 |
| 1.19241 | 2.442263 |
| 1.20112 | 2.441721 |
| 1.20989 | 2.441187 |
| 1.21873 | 2.440662 |
| 1.22764 | 2.440144 |
| 1.23661 | 2.439634 |
| 1.24564 | 2.439132 |
| 1.25474 | 2.438637 |
| 1.26391 | 2.438149 |
| 1.27315 | 2.437669 |
| 1.28245 | 2.437196 |
| 1.29182 | 2.436729 |
| 1.30126 | 2.43627 |
| 1.31076 | 2.435817 |
| 1.32034 | 2.435371 |
| 1.32999 | 2.434931 |
| 1.3397 | 2.434498 |
| 1.34949 | 2.434071 |
| 1.35935 | 2.43365 |
| 1.36928 | 2.433235 |
| 1.37929 | 2.432826 |
| 1.38937 | 2.432423 |
| 1.39952 | 2.432026 |
| 1.40974 | 2.431635 |
| 1.42004 | 2.431248 |
| 1.43042 | 2.430868 |
| 1.44087 | 2.430493 |
| 1.4514 | 2.430122 |
| 1.462 | 2.429758 |
| 1.47268 | 2.429398 |
| 1.48344 | 2.429043 |
| 1.49428 | 2.428693 |
| 1.5052 | 2.428348 |
| 1.5162 | 2.428008 |
| 1.52728 | 2.427672 |
| 1.53843 | 2.427341 |
| 1.54967 | 2.427014 |
| 1.561 | 2.426692 |
| 1.5724 | 2.426374 |
| 1.58389 | 2.42606 |
| 1.59546 | 2.425751 |
| 1.60712 | 2.425446 |
| 1.61886 | 2.425144 |
| 1.63069 | 2.424847 |
| 1.6426 | 2.424553 |
| 1.65461 | 2.424263 |
| 1.6667 | 2.423977 |
| 1.67887 | 2.423695 |
| 1.69114 | 2.423416 |
| 1.7035 | 2.423141 |
| 1.71594 | 2.42287 |
| 1.72848 | 2.422601 |
| 1.74111 | 2.422336 |
| 1.75383 | 2.422075 |
| 1.76664 | 2.421816 |
| 1.77955 | 2.421561 |
| 1.79255 | 2.421309 |
| 1.80565 | 2.42106 |
| 1.81884 | 2.420814 |
| 1.83213 | 2.42057 |
| 1.84552 | 2.42033 |
| 1.859 | 2.420093 |
| 1.87258 | 2.419858 |
| 1.88627 | 2.419626 |
| 1.90005 | 2.419396 |
| 1.91393 | 2.41917 |
| 1.92791 | 2.418945 |
| 1.942 | 2.418724 |
| 1.95619 | 2.418504 |
| 1.97048 | 2.418287 |
| 1.98488 | 2.418073 |
| 1.99938 | 2.417861 |
| 2.01399 | 2.417651 |
| 2.0287 | 2.417443 |
| 2.04353 | 2.417237 |
| 2.05846 | 2.417033 |
| 2.0735 | 2.416832 |
| 2.08865 | 2.416632 |
| 2.10391 | 2.416435 |
| 2.11928 | 2.416239 |
| 2.13476 | 2.416046 |
| 2.15036 | 2.415854 |
| 2.16607 | 2.415664 |
| 2.1819 | 2.415475 |
| 2.19784 | 2.415289 |
| 2.2139 | 2.415104 |
| 2.23007 | 2.41492 |
| 2.24637 | 2.414738 |
| 2.26278 | 2.414558 |
| 2.27931 | 2.414379 |
| 2.29597 | 2.414202 |
| 2.31274 | 2.414026 |
| 2.32964 | 2.413852 |
| 2.34666 | 2.413679 |
| 2.36381 | 2.413507 |
| 2.38108 | 2.413336 |
| 2.39847 | 2.413167 |
| 2.416 | 2.412999 |
| 2.43365 | 2.412832 |
| 2.45143 | 2.412666 |
| 2.46934 | 2.412501 |
| 2.48738 | 2.412337 |
| 2.50556 | 2.412175 |
| 2.52386 | 2.412013 |
| 2.5423 | 2.411852 |
| 2.56088 | 2.411692 |
| 2.57959 | 2.411533 |
| 2.59844 | 2.411375 |
| 2.61742 | 2.411217 |
| 2.63655 | 2.41106 |
| 2.65581 | 2.410904 |
| 2.67521 | 2.410749 |
| 2.69476 | 2.410595 |
| 2.71445 | 2.410441 |
| 2.73428 | 2.410287 |
| 2.75426 | 2.410134 |
| 2.77438 | 2.409982 |
| 2.79465 | 2.40983 |
| 2.81507 | 2.409679 |
| 2.83564 | 2.409528 |
| 2.85636 | 2.409377 |
| 2.87723 | 2.409227 |
| 2.89825 | 2.409077 |
| 2.91943 | 2.408927 |
| 2.94076 | 2.408778 |
| 2.96224 | 2.408629 |
| 2.98389 | 2.40848 |
| 3.00569 | 2.408331 |
| 3.02765 | 2.408183 |
| 3.04977 | 2.408034 |
| 3.07205 | 2.407886 |
| 3.0945 | 2.407737 |
| 3.11711 | 2.407589 |
| 3.13988 | 2.40744 |
| 3.16282 | 2.407292 |
| 3.18593 | 2.407143 |
| 3.20921 | 2.406994 |
| 3.23266 | 2.406845 |
| 3.25627 | 2.406696 |
| 3.28007 | 2.406547 |
| 3.30403 | 2.406397 |
| 3.32817 | 2.406247 |
| 3.35249 | 2.406097 |
| 3.37698 | 2.405947 |
| 3.40166 | 2.405796 |
| 3.42651 | 2.405644 |
| 3.45155 | 2.405493 |
| 3.47676 | 2.40534 |
| 3.50217 | 2.405187 |
| 3.52775 | 2.405034 |
| 3.55353 | 2.40488 |
| 3.57949 | 2.404726 |
| 3.60565 | 2.40457 |
| 3.63199 | 2.404415 |
| 3.65853 | 2.404258 |
| 3.68526 | 2.404101 |
| 3.71218 | 2.403942 |
| 3.73931 | 2.403783 |
| 3.76663 | 2.403624 |
| 3.79415 | 2.403463 |
| 3.82187 | 2.403301 |
| 3.84979 | 2.403139 |
| 3.87792 | 2.402975 |
| 3.90625 | 2.402811 |
| 3.93479 | 2.402645 |
| 3.96354 | 2.402478 |
| 3.9925 | 2.40231 |
| 4.02167 | 2.402141 |
| 4.05106 | 2.401971 |
| 4.08065 | 2.4018 |
| 4.11047 | 2.401627 |
| 4.1405 | 2.401453 |
| 4.17075 | 2.401277 |
| 4.20123 | 2.4011 |
| 4.23192 | 2.400922 |
| 4.26284 | 2.400742 |
| 4.29399 | 2.400561 |
| 4.32536 | 2.400378 |
| 4.35696 | 2.400194 |
| 4.3888 | 2.400008 |
| 4.42086 | 2.39982 |
| 4.45316 | 2.399631 |
| 4.4857 | 2.39944 |
| 4.51847 | 2.399247 |
| 4.55149 | 2.399052 |
| 4.58474 | 2.398856 |
| 4.61824 | 2.398657 |
| 4.65198 | 2.398457 |
| 4.68597 | 2.398254 |
| 4.72021 | 2.39805 |
| 4.7547 | 2.397843 |
| 4.78944 | 2.397635 |
| 4.82443 | 2.397424 |
| 4.85968 | 2.397211 |
| 4.89519 | 2.396995 |
| 4.93095 | 2.396778 |
| 4.96698 | 2.396558 |
| 5.00327 | 2.396335 |
| 5.03982 | 2.396111 |
| 5.07665 | 2.395883 |
| 5.11374 | 2.395653 |
| 5.1511 | 2.395421 |
| 5.18874 | 2.395186 |
| 5.22665 | 2.394948 |
| 5.26484 | 2.394707 |
| 5.3033 | 2.394464 |
| 5.34205 | 2.394217 |
| 5.38108 | 2.393968 |
| 5.4204 | 2.393716 |
| 5.46 | 2.393461 |
| 5.49989 | 2.393202 |
| 5.54008 | 2.392941 |
| 5.58056 | 2.392676 |
| 5.62133 | 2.392409 |
| 5.6624 | 2.392138 |
| 5.70377 | 2.391863 |
| 5.74545 | 2.391585 |
| 5.78742 | 2.391304 |
| 5.82971 | 2.391019 |
| 5.8723 | 2.39073 |
| 5.91521 | 2.390438 |
| 5.95843 | 2.390142 |
| 6.00196 | 2.389842 |
| 6.04581 | 2.389539 |
| 6.08999 | 2.389231 |
| 6.13448 | 2.38892 |
| 6.1793 | 2.388604 |
| 6.22445 | 2.388285 |
| 6.26993 | 2.387961 |
| 6.31574 | 2.387633 |
| 6.36188 | 2.3873 |
| 6.40837 | 2.386963 |
| 6.45519 | 2.386622 |
| 6.50235 | 2.386276 |
| 6.54986 | 2.385926 |
| 6.59772 | 2.38557 |
| 6.64592 | 2.38521 |
| 6.69448 | 2.384845 |
| 6.74339 | 2.384475 |
| 6.79266 | 2.384101 |
| 6.84229 | 2.383721 |
| 6.89228 | 2.383335 |
| 6.94264 | 2.382945 |
| 6.99337 | 2.382549 |
| 7.04446 | 2.382148 |
| 7.09593 | 2.381741 |
| 7.14778 | 2.381329 |
| 7.2 | 2.380911 |
| 7.25261 | 2.380487 |
| 7.3056 | 2.380057 |
| 7.35897 | 2.379621 |
| 7.41274 | 2.379179 |
| 7.4669 | 2.378731 |
| 7.52146 | 2.378277 |
| 7.57641 | 2.377816 |
| 7.63177 | 2.377348 |
| 7.68753 | 2.376875 |
| 7.7437 | 2.376394 |
| 7.80027 | 2.375907 |
| 7.85727 | 2.375412 |
| 7.91467 | 2.374911 |
| 7.9725 | 2.374403 |
| 8.03075 | 2.373887 |
| 8.08943 | 2.373364 |
| 8.14853 | 2.372834 |
| 8.20807 | 2.372296 |
| 8.26804 | 2.37175 |
| 8.32845 | 2.371196 |
| 8.3893 | 2.370635 |
| 8.45059 | 2.370065 |
| 8.51234 | 2.369487 |
| 8.57453 | 2.368901 |
| 8.63718 | 2.368307 |
| 8.70028 | 2.367703 |
| 8.76385 | 2.367092 |
| 8.82788 | 2.366471 |
| 8.89238 | 2.365841 |
| 8.95735 | 2.365202 |
| 9.0228 | 2.364554 |
| 9.08872 | 2.363896 |
| 9.15513 | 2.363229 |
| 9.22202 | 2.362552 |
| 9.2894 | 2.361865 |
| 9.35727 | 2.361168 |
| 9.42564 | 2.360461 |
| 9.49451 | 2.359744 |
| 9.56388 | 2.359016 |
| 9.63375 | 2.358277 |
| 9.70414 | 2.357528 |
| 9.77504 | 2.356768 |
| 9.84646 | 2.355996 |
| 9.9184 | 2.355213 |
| 9.99087 | 2.354418 |
| 10.0639 | 2.353612 |
| 10.1374 | 2.352794 |
| 10.2115 | 2.351964 |
| 10.2861 | 2.351121 |
| 10.3612 | 2.350266 |
| 10.4369 | 2.349399 |
| 10.5132 | 2.348518 |
| 10.59 | 2.347625 |
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