Optical constants
Refractive index of AgGaS2 (Silver gallium sulfide, AGS)
Takaoka and Kato 1999: n(e) 0.58–10.59 µm
- Data
- formula 4
- Range
- 0.58–10.59 µm
- Temperature
- 293 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
- 2.5362
- Extinction coefficient k
- 0
- Permittivity ε1
- 6.4323
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.82282 µm⁻¹
- Group index ng
- 3.01969
- Group velocity dispersion
- 2170.76 fs²/mm
- Dispersion parameter D
- -11842.7 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): Takaoka and Kato 1999: n(e) 0.58–10.59 µm
aggas2 = ls.fetch_refractiveindex("main", "AgGaS2", "Takaoka-e", 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_9cd34ba5e5a4/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-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=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 | 5.5436 |
| C2 | 0.223 |
| C3 | 0.0 |
| C4 | 0.0946 |
| C5 | 1.0 |
| C6 | 0.0 |
| C7 | 0.0 |
| C8 | 0.0 |
| C9 | 1.0 |
| C10 | -0.00261 |
| C11 | 2.0 |
Comments and conditions
Conditions
- temperature
- 293 K
- direction
- e
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 | 2.542631 |
| 0.584238 | 2.538999 |
| 0.588506 | 2.535455 |
| 0.592806 | 2.531995 |
| 0.597137 | 2.528617 |
| 0.6015 | 2.525317 |
| 0.605895 | 2.522095 |
| 0.610322 | 2.518947 |
| 0.614781 | 2.515872 |
| 0.619273 | 2.512866 |
| 0.623798 | 2.509928 |
| 0.628355 | 2.507057 |
| 0.632946 | 2.504249 |
| 0.637571 | 2.501503 |
| 0.642229 | 2.498819 |
| 0.646922 | 2.496192 |
| 0.651648 | 2.493623 |
| 0.656409 | 2.49111 |
| 0.661205 | 2.48865 |
| 0.666036 | 2.486243 |
| 0.670903 | 2.483887 |
| 0.675804 | 2.48158 |
| 0.680742 | 2.479322 |
| 0.685716 | 2.477111 |
| 0.690726 | 2.474946 |
| 0.695773 | 2.472826 |
| 0.700856 | 2.470749 |
| 0.705977 | 2.468714 |
| 0.711135 | 2.46672 |
| 0.716331 | 2.464767 |
| 0.721565 | 2.462853 |
| 0.726837 | 2.460978 |
| 0.732147 | 2.459139 |
| 0.737496 | 2.457337 |
| 0.742885 | 2.455571 |
| 0.748313 | 2.453839 |
| 0.75378 | 2.452141 |
| 0.759287 | 2.450475 |
| 0.764835 | 2.448842 |
| 0.770423 | 2.447241 |
| 0.776052 | 2.44567 |
| 0.781722 | 2.444129 |
| 0.787434 | 2.442617 |
| 0.793187 | 2.441134 |
| 0.798982 | 2.439679 |
| 0.80482 | 2.438251 |
| 0.8107 | 2.436849 |
| 0.816624 | 2.435474 |
| 0.82259 | 2.434124 |
| 0.8286 | 2.432799 |
| 0.834654 | 2.431498 |
| 0.840753 | 2.430221 |
| 0.846896 | 2.428968 |
| 0.853083 | 2.427737 |
| 0.859316 | 2.426528 |
| 0.865595 | 2.425342 |
| 0.871919 | 2.424176 |
| 0.87829 | 2.423032 |
| 0.884707 | 2.421907 |
| 0.891171 | 2.420803 |
| 0.897682 | 2.419718 |
| 0.904241 | 2.418653 |
| 0.910847 | 2.417606 |
| 0.917502 | 2.416577 |
| 0.924206 | 2.415567 |
| 0.930958 | 2.414574 |
| 0.93776 | 2.413598 |
| 0.944612 | 2.412639 |
| 0.951514 | 2.411697 |
| 0.958466 | 2.410771 |
| 0.965469 | 2.40986 |
| 0.972523 | 2.408965 |
| 0.979628 | 2.408086 |
| 0.986786 | 2.407221 |
| 0.993996 | 2.406371 |
| 1.00126 | 2.405535 |
| 1.00857 | 2.404714 |
| 1.01594 | 2.403906 |
| 1.02337 | 2.403111 |
| 1.03084 | 2.40233 |
| 1.03837 | 2.401562 |
| 1.04596 | 2.400806 |
| 1.0536 | 2.400063 |
| 1.0613 | 2.399332 |
| 1.06906 | 2.398613 |
| 1.07687 | 2.397906 |
| 1.08473 | 2.397211 |
| 1.09266 | 2.396527 |
| 1.10064 | 2.395853 |
| 1.10868 | 2.395191 |
| 1.11679 | 2.394539 |
| 1.12494 | 2.393898 |
| 1.13316 | 2.393267 |
| 1.14144 | 2.392647 |
| 1.14978 | 2.392036 |
| 1.15818 | 2.391434 |
| 1.16665 | 2.390843 |
| 1.17517 | 2.39026 |
| 1.18376 | 2.389687 |
| 1.19241 | 2.389123 |
| 1.20112 | 2.388568 |
| 1.20989 | 2.388021 |
| 1.21873 | 2.387483 |
| 1.22764 | 2.386953 |
| 1.23661 | 2.386431 |
| 1.24564 | 2.385917 |
| 1.25474 | 2.385412 |
| 1.26391 | 2.384914 |
| 1.27315 | 2.384423 |
| 1.28245 | 2.38394 |
| 1.29182 | 2.383465 |
| 1.30126 | 2.382996 |
| 1.31076 | 2.382535 |
| 1.32034 | 2.382081 |
| 1.32999 | 2.381633 |
| 1.3397 | 2.381192 |
| 1.34949 | 2.380758 |
| 1.35935 | 2.38033 |
| 1.36928 | 2.379908 |
| 1.37929 | 2.379493 |
| 1.38937 | 2.379084 |
| 1.39952 | 2.37868 |
| 1.40974 | 2.378283 |
| 1.42004 | 2.377891 |
| 1.43042 | 2.377505 |
| 1.44087 | 2.377125 |
| 1.4514 | 2.37675 |
| 1.462 | 2.37638 |
| 1.47268 | 2.376016 |
| 1.48344 | 2.375657 |
| 1.49428 | 2.375302 |
| 1.5052 | 2.374953 |
| 1.5162 | 2.374609 |
| 1.52728 | 2.37427 |
| 1.53843 | 2.373935 |
| 1.54967 | 2.373605 |
| 1.561 | 2.373279 |
| 1.5724 | 2.372958 |
| 1.58389 | 2.372641 |
| 1.59546 | 2.372329 |
| 1.60712 | 2.37202 |
| 1.61886 | 2.371716 |
| 1.63069 | 2.371416 |
| 1.6426 | 2.37112 |
| 1.65461 | 2.370828 |
| 1.6667 | 2.370539 |
| 1.67887 | 2.370255 |
| 1.69114 | 2.369974 |
| 1.7035 | 2.369697 |
| 1.71594 | 2.369423 |
| 1.72848 | 2.369153 |
| 1.74111 | 2.368886 |
| 1.75383 | 2.368622 |
| 1.76664 | 2.368362 |
| 1.77955 | 2.368105 |
| 1.79255 | 2.367851 |
| 1.80565 | 2.3676 |
| 1.81884 | 2.367353 |
| 1.83213 | 2.367108 |
| 1.84552 | 2.366866 |
| 1.859 | 2.366627 |
| 1.87258 | 2.366391 |
| 1.88627 | 2.366157 |
| 1.90005 | 2.365927 |
| 1.91393 | 2.365699 |
| 1.92791 | 2.365473 |
| 1.942 | 2.36525 |
| 1.95619 | 2.36503 |
| 1.97048 | 2.364811 |
| 1.98488 | 2.364596 |
| 1.99938 | 2.364382 |
| 2.01399 | 2.364171 |
| 2.0287 | 2.363962 |
| 2.04353 | 2.363755 |
| 2.05846 | 2.363551 |
| 2.0735 | 2.363348 |
| 2.08865 | 2.363147 |
| 2.10391 | 2.362949 |
| 2.11928 | 2.362752 |
| 2.13476 | 2.362557 |
| 2.15036 | 2.362364 |
| 2.16607 | 2.362173 |
| 2.1819 | 2.361984 |
| 2.19784 | 2.361796 |
| 2.2139 | 2.36161 |
| 2.23007 | 2.361425 |
| 2.24637 | 2.361242 |
| 2.26278 | 2.361061 |
| 2.27931 | 2.360881 |
| 2.29597 | 2.360703 |
| 2.31274 | 2.360526 |
| 2.32964 | 2.36035 |
| 2.34666 | 2.360176 |
| 2.36381 | 2.360003 |
| 2.38108 | 2.359831 |
| 2.39847 | 2.359661 |
| 2.416 | 2.359491 |
| 2.43365 | 2.359323 |
| 2.45143 | 2.359156 |
| 2.46934 | 2.35899 |
| 2.48738 | 2.358825 |
| 2.50556 | 2.358661 |
| 2.52386 | 2.358498 |
| 2.5423 | 2.358335 |
| 2.56088 | 2.358174 |
| 2.57959 | 2.358014 |
| 2.59844 | 2.357854 |
| 2.61742 | 2.357695 |
| 2.63655 | 2.357537 |
| 2.65581 | 2.357379 |
| 2.67521 | 2.357222 |
| 2.69476 | 2.357066 |
| 2.71445 | 2.356911 |
| 2.73428 | 2.356756 |
| 2.75426 | 2.356601 |
| 2.77438 | 2.356447 |
| 2.79465 | 2.356293 |
| 2.81507 | 2.35614 |
| 2.83564 | 2.355987 |
| 2.85636 | 2.355835 |
| 2.87723 | 2.355683 |
| 2.89825 | 2.355531 |
| 2.91943 | 2.35538 |
| 2.94076 | 2.355228 |
| 2.96224 | 2.355077 |
| 2.98389 | 2.354926 |
| 3.00569 | 2.354775 |
| 3.02765 | 2.354624 |
| 3.04977 | 2.354474 |
| 3.07205 | 2.354323 |
| 3.0945 | 2.354172 |
| 3.11711 | 2.354021 |
| 3.13988 | 2.353871 |
| 3.16282 | 2.35372 |
| 3.18593 | 2.353569 |
| 3.20921 | 2.353417 |
| 3.23266 | 2.353266 |
| 3.25627 | 2.353114 |
| 3.28007 | 2.352962 |
| 3.30403 | 2.35281 |
| 3.32817 | 2.352657 |
| 3.35249 | 2.352504 |
| 3.37698 | 2.352351 |
| 3.40166 | 2.352197 |
| 3.42651 | 2.352042 |
| 3.45155 | 2.351888 |
| 3.47676 | 2.351732 |
| 3.50217 | 2.351576 |
| 3.52775 | 2.35142 |
| 3.55353 | 2.351262 |
| 3.57949 | 2.351105 |
| 3.60565 | 2.350946 |
| 3.63199 | 2.350787 |
| 3.65853 | 2.350626 |
| 3.68526 | 2.350466 |
| 3.71218 | 2.350304 |
| 3.73931 | 2.350141 |
| 3.76663 | 2.349978 |
| 3.79415 | 2.349813 |
| 3.82187 | 2.349647 |
| 3.84979 | 2.349481 |
| 3.87792 | 2.349313 |
| 3.90625 | 2.349145 |
| 3.93479 | 2.348975 |
| 3.96354 | 2.348804 |
| 3.9925 | 2.348631 |
| 4.02167 | 2.348458 |
| 4.05106 | 2.348283 |
| 4.08065 | 2.348107 |
| 4.11047 | 2.34793 |
| 4.1405 | 2.347751 |
| 4.17075 | 2.347571 |
| 4.20123 | 2.347389 |
| 4.23192 | 2.347206 |
| 4.26284 | 2.347021 |
| 4.29399 | 2.346835 |
| 4.32536 | 2.346647 |
| 4.35696 | 2.346457 |
| 4.3888 | 2.346266 |
| 4.42086 | 2.346072 |
| 4.45316 | 2.345877 |
| 4.4857 | 2.345681 |
| 4.51847 | 2.345482 |
| 4.55149 | 2.345281 |
| 4.58474 | 2.345079 |
| 4.61824 | 2.344874 |
| 4.65198 | 2.344668 |
| 4.68597 | 2.344459 |
| 4.72021 | 2.344248 |
| 4.7547 | 2.344035 |
| 4.78944 | 2.34382 |
| 4.82443 | 2.343602 |
| 4.85968 | 2.343382 |
| 4.89519 | 2.34316 |
| 4.93095 | 2.342936 |
| 4.96698 | 2.342708 |
| 5.00327 | 2.342479 |
| 5.03982 | 2.342247 |
| 5.07665 | 2.342012 |
| 5.11374 | 2.341774 |
| 5.1511 | 2.341534 |
| 5.18874 | 2.341291 |
| 5.22665 | 2.341045 |
| 5.26484 | 2.340796 |
| 5.3033 | 2.340545 |
| 5.34205 | 2.34029 |
| 5.38108 | 2.340032 |
| 5.4204 | 2.339772 |
| 5.46 | 2.339508 |
| 5.49989 | 2.33924 |
| 5.54008 | 2.33897 |
| 5.58056 | 2.338696 |
| 5.62133 | 2.338419 |
| 5.6624 | 2.338139 |
| 5.70377 | 2.337854 |
| 5.74545 | 2.337567 |
| 5.78742 | 2.337275 |
| 5.82971 | 2.33698 |
| 5.8723 | 2.336682 |
| 5.91521 | 2.336379 |
| 5.95843 | 2.336073 |
| 6.00196 | 2.335762 |
| 6.04581 | 2.335448 |
| 6.08999 | 2.335129 |
| 6.13448 | 2.334807 |
| 6.1793 | 2.33448 |
| 6.22445 | 2.334148 |
| 6.26993 | 2.333813 |
| 6.31574 | 2.333473 |
| 6.36188 | 2.333128 |
| 6.40837 | 2.332779 |
| 6.45519 | 2.332425 |
| 6.50235 | 2.332066 |
| 6.54986 | 2.331703 |
| 6.59772 | 2.331335 |
| 6.64592 | 2.330961 |
| 6.69448 | 2.330583 |
| 6.74339 | 2.330199 |
| 6.79266 | 2.329811 |
| 6.84229 | 2.329416 |
| 6.89228 | 2.329017 |
| 6.94264 | 2.328612 |
| 6.99337 | 2.328201 |
| 7.04446 | 2.327785 |
| 7.09593 | 2.327363 |
| 7.14778 | 2.326935 |
| 7.2 | 2.326501 |
| 7.25261 | 2.326061 |
| 7.3056 | 2.325615 |
| 7.35897 | 2.325163 |
| 7.41274 | 2.324704 |
| 7.4669 | 2.324239 |
| 7.52146 | 2.323767 |
| 7.57641 | 2.323289 |
| 7.63177 | 2.322804 |
| 7.68753 | 2.322312 |
| 7.7437 | 2.321813 |
| 7.80027 | 2.321307 |
| 7.85727 | 2.320794 |
| 7.91467 | 2.320274 |
| 7.9725 | 2.319746 |
| 8.03075 | 2.31921 |
| 8.08943 | 2.318667 |
| 8.14853 | 2.318116 |
| 8.20807 | 2.317557 |
| 8.26804 | 2.316991 |
| 8.32845 | 2.316416 |
| 8.3893 | 2.315832 |
| 8.45059 | 2.315241 |
| 8.51234 | 2.314641 |
| 8.57453 | 2.314032 |
| 8.63718 | 2.313414 |
| 8.70028 | 2.312787 |
| 8.76385 | 2.312152 |
| 8.82788 | 2.311507 |
| 8.89238 | 2.310852 |
| 8.95735 | 2.310189 |
| 9.0228 | 2.309515 |
| 9.08872 | 2.308832 |
| 9.15513 | 2.308138 |
| 9.22202 | 2.307435 |
| 9.2894 | 2.306721 |
| 9.35727 | 2.305997 |
| 9.42564 | 2.305262 |
| 9.49451 | 2.304516 |
| 9.56388 | 2.30376 |
| 9.63375 | 2.302992 |
| 9.70414 | 2.302213 |
| 9.77504 | 2.301423 |
| 9.84646 | 2.300621 |
| 9.9184 | 2.299807 |
| 9.99087 | 2.298981 |
| 10.0639 | 2.298143 |
| 10.1374 | 2.297292 |
| 10.2115 | 2.296429 |
| 10.2861 | 2.295553 |
| 10.3612 | 2.294664 |
| 10.4369 | 2.293762 |
| 10.5132 | 2.292846 |
| 10.59 | 2.291917 |
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