Optical constants
Refractive index of CsI (Cesium iodide)
Rodney 1955: n 0.2967–50 µm
- Data
- formula 1
- Range
- 0.2967–50 µm
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.78718
- Extinction coefficient k
- 0
- Permittivity ε1
- 3.19402
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 23.989
- Chromatic dispersion dn/dλ
- -0.165095 µm⁻¹
- Group index ng
- 1.88419
- Group velocity dispersion
- 340.181 fs²/mm
- Dispersion parameter D
- -1855.87 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
# CsI (Cesium iodide): Rodney 1955: n 0.2967–50 µm
csi = ls.fetch_refractiveindex("main", "CsI", "Rodney", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(csi.range_nm) # (296.7, 50000) nm
eps = csi.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_1d37a495fac8/lightsmith"
csi = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(csi.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (csi/rodney-1955).
# ... load csi as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=csi)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, 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"]).
import json, urllib.request
import lightsmith as ls
url = "https://materials.lightsmith.dev/v1/datasets/ds_1d37a495fac8/lightsmith?model=drude_lorentz"
csi_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))
A dispersive Drude–Lorentz model for time-domain solvers.
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
Sellmeier (formula 1), λ in µmValid from 0.2967 to 50.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 0.0 |
| C2 | 0.34617251 |
| C3 | 0.0229567 |
| C4 | 1.0080886 |
| C5 | 0.1466 |
| C6 | 0.285518 |
| C7 | 0.181 |
| C8 | 0.39743178 |
| C9 | 0.212 |
| C10 | 3.3605359 |
| C11 | 161.0 |
Comments and conditions
References
- doi:10.1364/josa.45.000987 Optical Properties of Cesium Iodide*, Journal of the Optical Society of America (1955)
Cite
William S. Rodney. Optical Properties of Cesium Iodide*. Journal of the Optical Society of America, 45, 987 (1955), doi:10.1364/josa.45.000987; 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 |
|---|---|
| 0.2967 | 1.987131 |
| 0.300537 | 1.977402 |
| 0.304424 | 1.968223 |
| 0.308361 | 1.959547 |
| 0.312349 | 1.951334 |
| 0.316388 | 1.943548 |
| 0.32048 | 1.936157 |
| 0.324625 | 1.929132 |
| 0.328823 | 1.922448 |
| 0.333076 | 1.916081 |
| 0.337383 | 1.91001 |
| 0.341746 | 1.904216 |
| 0.346166 | 1.898681 |
| 0.350643 | 1.893389 |
| 0.355178 | 1.888325 |
| 0.359771 | 1.883477 |
| 0.364424 | 1.878831 |
| 0.369137 | 1.874377 |
| 0.373911 | 1.870103 |
| 0.378746 | 1.866 |
| 0.383645 | 1.862059 |
| 0.388606 | 1.858271 |
| 0.393632 | 1.854629 |
| 0.398723 | 1.851126 |
| 0.403879 | 1.847754 |
| 0.409102 | 1.844507 |
| 0.414393 | 1.841379 |
| 0.419752 | 1.838364 |
| 0.425181 | 1.835458 |
| 0.43068 | 1.832656 |
| 0.43625 | 1.829952 |
| 0.441891 | 1.827342 |
| 0.447606 | 1.824823 |
| 0.453395 | 1.822391 |
| 0.459259 | 1.82004 |
| 0.465198 | 1.81777 |
| 0.471214 | 1.815575 |
| 0.477308 | 1.813453 |
| 0.483481 | 1.811401 |
| 0.489734 | 1.809416 |
| 0.496068 | 1.807496 |
| 0.502483 | 1.805638 |
| 0.508982 | 1.803839 |
| 0.515564 | 1.802097 |
| 0.522232 | 1.800411 |
| 0.528985 | 1.798778 |
| 0.535827 | 1.797195 |
| 0.542756 | 1.795663 |
| 0.549776 | 1.794177 |
| 0.556886 | 1.792737 |
| 0.564088 | 1.791341 |
| 0.571383 | 1.789988 |
| 0.578772 | 1.788676 |
| 0.586258 | 1.787403 |
| 0.593839 | 1.786169 |
| 0.601519 | 1.784971 |
| 0.609299 | 1.783809 |
| 0.617178 | 1.782682 |
| 0.62516 | 1.781588 |
| 0.633245 | 1.780525 |
| 0.641435 | 1.779494 |
| 0.64973 | 1.778494 |
| 0.658133 | 1.777522 |
| 0.666644 | 1.776578 |
| 0.675266 | 1.775661 |
| 0.683999 | 1.774771 |
| 0.692845 | 1.773907 |
| 0.701805 | 1.773067 |
| 0.710881 | 1.772251 |
| 0.720075 | 1.771458 |
| 0.729388 | 1.770687 |
| 0.73882 | 1.769938 |
| 0.748375 | 1.769211 |
| 0.758054 | 1.768503 |
| 0.767858 | 1.767816 |
| 0.777788 | 1.767147 |
| 0.787847 | 1.766498 |
| 0.798036 | 1.765866 |
| 0.808357 | 1.765252 |
| 0.818811 | 1.764655 |
| 0.8294 | 1.764074 |
| 0.840127 | 1.763509 |
| 0.850992 | 1.76296 |
| 0.861997 | 1.762425 |
| 0.873145 | 1.761906 |
| 0.884437 | 1.7614 |
| 0.895875 | 1.760908 |
| 0.907462 | 1.76043 |
| 0.919197 | 1.759964 |
| 0.931085 | 1.759511 |
| 0.943127 | 1.759071 |
| 0.955324 | 1.758642 |
| 0.967679 | 1.758224 |
| 0.980193 | 1.757818 |
| 0.99287 | 1.757423 |
| 1.00571 | 1.757038 |
| 1.01872 | 1.756664 |
| 1.03189 | 1.7563 |
| 1.04524 | 1.755945 |
| 1.05875 | 1.7556 |
| 1.07245 | 1.755263 |
| 1.08632 | 1.754936 |
| 1.10037 | 1.754617 |
| 1.1146 | 1.754307 |
| 1.12901 | 1.754005 |
| 1.14361 | 1.753711 |
| 1.1584 | 1.753425 |
| 1.17338 | 1.753146 |
| 1.18856 | 1.752874 |
| 1.20393 | 1.75261 |
| 1.2195 | 1.752352 |
| 1.23527 | 1.752102 |
| 1.25125 | 1.751857 |
| 1.26743 | 1.751619 |
| 1.28382 | 1.751387 |
| 1.30042 | 1.751162 |
| 1.31724 | 1.750942 |
| 1.33428 | 1.750727 |
| 1.35153 | 1.750519 |
| 1.36901 | 1.750315 |
| 1.38672 | 1.750117 |
| 1.40465 | 1.749924 |
| 1.42282 | 1.749736 |
| 1.44122 | 1.749553 |
| 1.45986 | 1.749374 |
| 1.47874 | 1.7492 |
| 1.49786 | 1.74903 |
| 1.51723 | 1.748865 |
| 1.53685 | 1.748704 |
| 1.55673 | 1.748546 |
| 1.57686 | 1.748393 |
| 1.59725 | 1.748244 |
| 1.61791 | 1.748098 |
| 1.63883 | 1.747957 |
| 1.66003 | 1.747818 |
| 1.6815 | 1.747683 |
| 1.70324 | 1.747552 |
| 1.72527 | 1.747423 |
| 1.74758 | 1.747298 |
| 1.77018 | 1.747176 |
| 1.79308 | 1.747057 |
| 1.81627 | 1.746941 |
| 1.83976 | 1.746828 |
| 1.86355 | 1.746717 |
| 1.88765 | 1.746609 |
| 1.91206 | 1.746504 |
| 1.93679 | 1.746401 |
| 1.96184 | 1.746301 |
| 1.98721 | 1.746203 |
| 2.01291 | 1.746108 |
| 2.03894 | 1.746014 |
| 2.06531 | 1.745923 |
| 2.09202 | 1.745834 |
| 2.11908 | 1.745747 |
| 2.14648 | 1.745662 |
| 2.17424 | 1.745579 |
| 2.20236 | 1.745498 |
| 2.23084 | 1.745419 |
| 2.25969 | 1.745342 |
| 2.28892 | 1.745266 |
| 2.31852 | 1.745192 |
| 2.3485 | 1.74512 |
| 2.37888 | 1.745049 |
| 2.40964 | 1.74498 |
| 2.44081 | 1.744912 |
| 2.47237 | 1.744846 |
| 2.50435 | 1.744781 |
| 2.53673 | 1.744718 |
| 2.56954 | 1.744655 |
| 2.60277 | 1.744594 |
| 2.63643 | 1.744535 |
| 2.67053 | 1.744476 |
| 2.70507 | 1.744419 |
| 2.74005 | 1.744362 |
| 2.77549 | 1.744307 |
| 2.81138 | 1.744253 |
| 2.84774 | 1.7442 |
| 2.88457 | 1.744148 |
| 2.92187 | 1.744096 |
| 2.95966 | 1.744046 |
| 2.99794 | 1.743997 |
| 3.03671 | 1.743948 |
| 3.07598 | 1.7439 |
| 3.11576 | 1.743853 |
| 3.15606 | 1.743806 |
| 3.19687 | 1.743761 |
| 3.23822 | 1.743716 |
| 3.2801 | 1.743671 |
| 3.32252 | 1.743627 |
| 3.36548 | 1.743584 |
| 3.40901 | 1.743542 |
| 3.4531 | 1.743499 |
| 3.49776 | 1.743458 |
| 3.54299 | 1.743417 |
| 3.58881 | 1.743376 |
| 3.63522 | 1.743335 |
| 3.68224 | 1.743296 |
| 3.72986 | 1.743256 |
| 3.7781 | 1.743217 |
| 3.82696 | 1.743178 |
| 3.87645 | 1.743139 |
| 3.92658 | 1.743101 |
| 3.97736 | 1.743062 |
| 4.0288 | 1.743024 |
| 4.0809 | 1.742987 |
| 4.13368 | 1.742949 |
| 4.18714 | 1.742911 |
| 4.24129 | 1.742874 |
| 4.29614 | 1.742837 |
| 4.3517 | 1.742799 |
| 4.40798 | 1.742762 |
| 4.46499 | 1.742725 |
| 4.52273 | 1.742687 |
| 4.58123 | 1.74265 |
| 4.64047 | 1.742613 |
| 4.70049 | 1.742575 |
| 4.76128 | 1.742537 |
| 4.82285 | 1.7425 |
| 4.88522 | 1.742462 |
| 4.9484 | 1.742423 |
| 5.0124 | 1.742385 |
| 5.07722 | 1.742346 |
| 5.14289 | 1.742308 |
| 5.2094 | 1.742268 |
| 5.27677 | 1.742229 |
| 5.34501 | 1.742189 |
| 5.41414 | 1.742149 |
| 5.48416 | 1.742108 |
| 5.55508 | 1.742067 |
| 5.62692 | 1.742025 |
| 5.69969 | 1.741983 |
| 5.77341 | 1.741941 |
| 5.84807 | 1.741898 |
| 5.9237 | 1.741854 |
| 6.00031 | 1.74181 |
| 6.07791 | 1.741765 |
| 6.15652 | 1.741719 |
| 6.23614 | 1.741673 |
| 6.31679 | 1.741626 |
| 6.39848 | 1.741578 |
| 6.48123 | 1.74153 |
| 6.56505 | 1.74148 |
| 6.64995 | 1.74143 |
| 6.73595 | 1.741379 |
| 6.82307 | 1.741327 |
| 6.91131 | 1.741274 |
| 7.00069 | 1.74122 |
| 7.09123 | 1.741165 |
| 7.18294 | 1.741109 |
| 7.27583 | 1.741052 |
| 7.36993 | 1.740993 |
| 7.46524 | 1.740934 |
| 7.56179 | 1.740873 |
| 7.65958 | 1.740811 |
| 7.75864 | 1.740748 |
| 7.85898 | 1.740684 |
| 7.96062 | 1.740618 |
| 8.06357 | 1.74055 |
| 8.16785 | 1.740481 |
| 8.27348 | 1.740411 |
| 8.38048 | 1.740339 |
| 8.48886 | 1.740265 |
| 8.59865 | 1.74019 |
| 8.70985 | 1.740113 |
| 8.82249 | 1.740034 |
| 8.93659 | 1.739954 |
| 9.05217 | 1.739872 |
| 9.16923 | 1.739787 |
| 9.28782 | 1.739701 |
| 9.40793 | 1.739612 |
| 9.5296 | 1.739522 |
| 9.65285 | 1.739429 |
| 9.77768 | 1.739334 |
| 9.90414 | 1.739237 |
| 10.0322 | 1.739138 |
| 10.162 | 1.739036 |
| 10.2934 | 1.738931 |
| 10.4265 | 1.738824 |
| 10.5614 | 1.738714 |
| 10.6979 | 1.738602 |
| 10.8363 | 1.738487 |
| 10.9764 | 1.738369 |
| 11.1184 | 1.738248 |
| 11.2622 | 1.738123 |
| 11.4078 | 1.737996 |
| 11.5554 | 1.737866 |
| 11.7048 | 1.737732 |
| 11.8562 | 1.737595 |
| 12.0095 | 1.737454 |
| 12.1648 | 1.73731 |
| 12.3222 | 1.737162 |
| 12.4815 | 1.737011 |
| 12.6429 | 1.736855 |
| 12.8064 | 1.736696 |
| 12.9721 | 1.736532 |
| 13.1398 | 1.736364 |
| 13.3098 | 1.736192 |
| 13.4819 | 1.736016 |
| 13.6562 | 1.735834 |
| 13.8329 | 1.735648 |
| 14.0117 | 1.735458 |
| 14.193 | 1.735262 |
| 14.3765 | 1.735061 |
| 14.5624 | 1.734855 |
| 14.7508 | 1.734644 |
| 14.9415 | 1.734427 |
| 15.1348 | 1.734204 |
| 15.3305 | 1.733976 |
| 15.5288 | 1.733741 |
| 15.7296 | 1.7335 |
| 15.933 | 1.733253 |
| 16.1391 | 1.733 |
| 16.3478 | 1.732739 |
| 16.5592 | 1.732472 |
| 16.7734 | 1.732198 |
| 16.9903 | 1.731916 |
| 17.21 | 1.731627 |
| 17.4326 | 1.731331 |
| 17.6581 | 1.731026 |
| 17.8864 | 1.730714 |
| 18.1177 | 1.730392 |
| 18.352 | 1.730063 |
| 18.5894 | 1.729724 |
| 18.8298 | 1.729377 |
| 19.0733 | 1.72902 |
| 19.32 | 1.728654 |
| 19.5698 | 1.728277 |
| 19.8229 | 1.727891 |
| 20.0793 | 1.727494 |
| 20.339 | 1.727087 |
| 20.602 | 1.726668 |
| 20.8685 | 1.726238 |
| 21.1383 | 1.725797 |
| 21.4117 | 1.725344 |
| 21.6886 | 1.724878 |
| 21.9691 | 1.724399 |
| 22.2532 | 1.723908 |
| 22.541 | 1.723403 |
| 22.8326 | 1.722884 |
| 23.1278 | 1.722351 |
| 23.4269 | 1.721804 |
| 23.7299 | 1.721242 |
| 24.0368 | 1.720664 |
| 24.3477 | 1.72007 |
| 24.6625 | 1.71946 |
| 24.9815 | 1.718832 |
| 25.3046 | 1.718188 |
| 25.6318 | 1.717526 |
| 25.9633 | 1.716845 |
| 26.2991 | 1.716146 |
| 26.6392 | 1.715426 |
| 26.9837 | 1.714687 |
| 27.3327 | 1.713927 |
| 27.6862 | 1.713146 |
| 28.0442 | 1.712343 |
| 28.4069 | 1.711518 |
| 28.7743 | 1.710669 |
| 29.1464 | 1.709796 |
| 29.5234 | 1.708898 |
| 29.9052 | 1.707975 |
| 30.292 | 1.707025 |
| 30.6837 | 1.706049 |
| 31.0805 | 1.705044 |
| 31.4825 | 1.704011 |
| 31.8896 | 1.702948 |
| 32.3021 | 1.701855 |
| 32.7198 | 1.700729 |
| 33.143 | 1.699572 |
| 33.5716 | 1.69838 |
| 34.0058 | 1.697154 |
| 34.4455 | 1.695892 |
| 34.891 | 1.694593 |
| 35.3423 | 1.693256 |
| 35.7993 | 1.691879 |
| 36.2623 | 1.690462 |
| 36.7313 | 1.689002 |
| 37.2063 | 1.687499 |
| 37.6875 | 1.685951 |
| 38.1749 | 1.684356 |
| 38.6686 | 1.682713 |
| 39.1687 | 1.681021 |
| 39.6752 | 1.679277 |
| 40.1883 | 1.677479 |
| 40.7081 | 1.675627 |
| 41.2346 | 1.673718 |
| 41.7678 | 1.671749 |
| 42.308 | 1.66972 |
| 42.8551 | 1.667627 |
| 43.4094 | 1.665468 |
| 43.9708 | 1.663242 |
| 44.5394 | 1.660944 |
| 45.1155 | 1.658574 |
| 45.6989 | 1.656128 |
| 46.2899 | 1.653603 |
| 46.8886 | 1.650996 |
| 47.495 | 1.648304 |
| 48.1092 | 1.645524 |
| 48.7314 | 1.642652 |
| 49.3616 | 1.639685 |
| 50 | 1.636619 |
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
- —
24 °C