Optical constants
Refractive index of C8H5KO4 (Potassium hydrogen phthalate, KHP)
Moutzouris et al. 2011: n(γ) 0.450–1.55 µm
- Data
- formula 4
- Range
- 0.45–1.551 µm
- Temperature
- 277.65 K
- Optical axis
- gamma
- Licence
- CC0-1.0
Biaxial crystal, axes: gamma
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.49754
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.24263
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 39.023
- Chromatic dispersion dn/dλ
- -0.0642218 µm⁻¹
- Group index ng
- 1.53528
- Group velocity dispersion
- 128.817 fs²/mm
- Dispersion parameter D
- -702.763 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
# C8H5KO4 (Potassium hydrogen phthalate, KHP): Moutzouris et al. 2011: n(γ) 0.450–1.55 µm
c8h5ko4 = ls.fetch_refractiveindex("organic", "potassium_hydrogen_phthalate", "Moutzouris-γ", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(c8h5ko4.range_nm) # (450, 1551) nm
eps = c8h5ko4.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_e5ffdd64c0f4/lightsmith"
c8h5ko4 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(c8h5ko4.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (potassium-hydrogen-phthalate/moutzouris-2011-3).
# ... load c8h5ko4 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=c8h5ko4)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=450, 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 0.45 to 1.551 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 2.196073191 |
| C2 | 0.015025722 |
| C3 | 0.0 |
| C4 | 0.190981743 |
| C5 | 2.0 |
| C6 | 0.0 |
| C7 | 0.0 |
| C8 | 0.0 |
| C9 | 1.0 |
| C10 | -0.00610078 |
| C11 | 2.0 |
Comments and conditions
Conditions
- temperature
- 277.65 K
- direction
- gamma
References
- doi:10.1016/j.optmat.2010.12.021 Temperature-dependent refractive index of potassium acid phthalate (KAP) in the visible and near-infrared, Optical Materials (2011)
Cite
K. Moutzouris, I. Stavrakas, D. Triantis and M. Enculescu. Temperature-dependent refractive index of potassium acid phthalate (KAP) in the visible and near-infrared. Optical Materials, 33, 812-816 (2011), doi:10.1016/j.optmat.2010.12.021; 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 |
|---|---|
| 0.45 | 1.511734 |
| 0.451398 | 1.511506 |
| 0.4528 | 1.51128 |
| 0.454206 | 1.511056 |
| 0.455617 | 1.510834 |
| 0.457032 | 1.510613 |
| 0.458452 | 1.510395 |
| 0.459876 | 1.510178 |
| 0.461304 | 1.509963 |
| 0.462737 | 1.509751 |
| 0.464174 | 1.509539 |
| 0.465616 | 1.50933 |
| 0.467062 | 1.509122 |
| 0.468513 | 1.508916 |
| 0.469968 | 1.508712 |
| 0.471428 | 1.508509 |
| 0.472892 | 1.508309 |
| 0.474361 | 1.508109 |
| 0.475835 | 1.507912 |
| 0.477313 | 1.507716 |
| 0.478795 | 1.507521 |
| 0.480282 | 1.507329 |
| 0.481774 | 1.507137 |
| 0.483271 | 1.506948 |
| 0.484772 | 1.50676 |
| 0.486277 | 1.506573 |
| 0.487788 | 1.506388 |
| 0.489303 | 1.506204 |
| 0.490823 | 1.506022 |
| 0.492347 | 1.505842 |
| 0.493877 | 1.505662 |
| 0.495411 | 1.505485 |
| 0.496949 | 1.505308 |
| 0.498493 | 1.505133 |
| 0.500041 | 1.50496 |
| 0.501595 | 1.504787 |
| 0.503153 | 1.504617 |
| 0.504715 | 1.504447 |
| 0.506283 | 1.504279 |
| 0.507856 | 1.504112 |
| 0.509433 | 1.503947 |
| 0.511015 | 1.503782 |
| 0.512603 | 1.503619 |
| 0.514195 | 1.503458 |
| 0.515792 | 1.503297 |
| 0.517394 | 1.503138 |
| 0.519001 | 1.50298 |
| 0.520613 | 1.502823 |
| 0.52223 | 1.502668 |
| 0.523852 | 1.502513 |
| 0.52548 | 1.50236 |
| 0.527112 | 1.502208 |
| 0.528749 | 1.502057 |
| 0.530391 | 1.501908 |
| 0.532039 | 1.501759 |
| 0.533691 | 1.501612 |
| 0.535349 | 1.501465 |
| 0.537012 | 1.50132 |
| 0.53868 | 1.501176 |
| 0.540353 | 1.501033 |
| 0.542031 | 1.500891 |
| 0.543715 | 1.50075 |
| 0.545404 | 1.50061 |
| 0.547098 | 1.500471 |
| 0.548797 | 1.500333 |
| 0.550502 | 1.500196 |
| 0.552212 | 1.500061 |
| 0.553927 | 1.499926 |
| 0.555647 | 1.499792 |
| 0.557373 | 1.499659 |
| 0.559105 | 1.499527 |
| 0.560841 | 1.499397 |
| 0.562583 | 1.499267 |
| 0.564331 | 1.499138 |
| 0.566084 | 1.49901 |
| 0.567842 | 1.498883 |
| 0.569606 | 1.498756 |
| 0.571375 | 1.498631 |
| 0.57315 | 1.498507 |
| 0.57493 | 1.498383 |
| 0.576716 | 1.498261 |
| 0.578507 | 1.498139 |
| 0.580304 | 1.498018 |
| 0.582106 | 1.497898 |
| 0.583914 | 1.497779 |
| 0.585728 | 1.497661 |
| 0.587547 | 1.497543 |
| 0.589372 | 1.497426 |
| 0.591203 | 1.497311 |
| 0.593039 | 1.497196 |
| 0.594881 | 1.497081 |
| 0.596729 | 1.496968 |
| 0.598583 | 1.496855 |
| 0.600442 | 1.496744 |
| 0.602307 | 1.496632 |
| 0.604178 | 1.496522 |
| 0.606054 | 1.496413 |
| 0.607937 | 1.496304 |
| 0.609825 | 1.496196 |
| 0.611719 | 1.496089 |
| 0.613619 | 1.495982 |
| 0.615525 | 1.495876 |
| 0.617437 | 1.495771 |
| 0.619355 | 1.495667 |
| 0.621279 | 1.495563 |
| 0.623209 | 1.49546 |
| 0.625144 | 1.495358 |
| 0.627086 | 1.495256 |
| 0.629034 | 1.495155 |
| 0.630988 | 1.495055 |
| 0.632948 | 1.494955 |
| 0.634914 | 1.494857 |
| 0.636886 | 1.494758 |
| 0.638864 | 1.494661 |
| 0.640848 | 1.494564 |
| 0.642839 | 1.494467 |
| 0.644835 | 1.494372 |
| 0.646838 | 1.494277 |
| 0.648847 | 1.494182 |
| 0.650863 | 1.494088 |
| 0.652885 | 1.493995 |
| 0.654912 | 1.493903 |
| 0.656947 | 1.493811 |
| 0.658987 | 1.493719 |
| 0.661034 | 1.493628 |
| 0.663087 | 1.493538 |
| 0.665147 | 1.493448 |
| 0.667213 | 1.493359 |
| 0.669285 | 1.493271 |
| 0.671364 | 1.493183 |
| 0.673449 | 1.493095 |
| 0.675541 | 1.493009 |
| 0.67764 | 1.492922 |
| 0.679744 | 1.492837 |
| 0.681856 | 1.492751 |
| 0.683974 | 1.492667 |
| 0.686098 | 1.492582 |
| 0.688229 | 1.492499 |
| 0.690367 | 1.492416 |
| 0.692511 | 1.492333 |
| 0.694662 | 1.492251 |
| 0.69682 | 1.492169 |
| 0.698984 | 1.492088 |
| 0.701155 | 1.492008 |
| 0.703333 | 1.491928 |
| 0.705518 | 1.491848 |
| 0.707709 | 1.491769 |
| 0.709907 | 1.49169 |
| 0.712112 | 1.491612 |
| 0.714324 | 1.491534 |
| 0.716543 | 1.491457 |
| 0.718769 | 1.49138 |
| 0.721001 | 1.491304 |
| 0.723241 | 1.491228 |
| 0.725487 | 1.491153 |
| 0.727741 | 1.491078 |
| 0.730001 | 1.491003 |
| 0.732269 | 1.490929 |
| 0.734543 | 1.490855 |
| 0.736825 | 1.490782 |
| 0.739113 | 1.490709 |
| 0.741409 | 1.490637 |
| 0.743712 | 1.490565 |
| 0.746022 | 1.490493 |
| 0.748339 | 1.490422 |
| 0.750664 | 1.490351 |
| 0.752995 | 1.490281 |
| 0.755334 | 1.490211 |
| 0.75768 | 1.490141 |
| 0.760034 | 1.490072 |
| 0.762394 | 1.490003 |
| 0.764762 | 1.489935 |
| 0.767138 | 1.489866 |
| 0.769521 | 1.489799 |
| 0.771911 | 1.489731 |
| 0.774308 | 1.489665 |
| 0.776713 | 1.489598 |
| 0.779126 | 1.489532 |
| 0.781546 | 1.489466 |
| 0.783974 | 1.4894 |
| 0.786409 | 1.489335 |
| 0.788851 | 1.48927 |
| 0.791302 | 1.489206 |
| 0.793759 | 1.489142 |
| 0.796225 | 1.489078 |
| 0.798698 | 1.489014 |
| 0.801179 | 1.488951 |
| 0.803667 | 1.488889 |
| 0.806164 | 1.488826 |
| 0.808668 | 1.488764 |
| 0.811179 | 1.488702 |
| 0.813699 | 1.488641 |
| 0.816226 | 1.488579 |
| 0.818762 | 1.488518 |
| 0.821305 | 1.488458 |
| 0.823856 | 1.488398 |
| 0.826415 | 1.488338 |
| 0.828982 | 1.488278 |
| 0.831557 | 1.488218 |
| 0.83414 | 1.488159 |
| 0.83673 | 1.488101 |
| 0.839329 | 1.488042 |
| 0.841936 | 1.487984 |
| 0.844552 | 1.487926 |
| 0.847175 | 1.487868 |
| 0.849806 | 1.487811 |
| 0.852446 | 1.487753 |
| 0.855094 | 1.487697 |
| 0.85775 | 1.48764 |
| 0.860414 | 1.487584 |
| 0.863086 | 1.487528 |
| 0.865767 | 1.487472 |
| 0.868456 | 1.487416 |
| 0.871154 | 1.487361 |
| 0.87386 | 1.487306 |
| 0.876574 | 1.487251 |
| 0.879297 | 1.487196 |
| 0.882028 | 1.487142 |
| 0.884768 | 1.487088 |
| 0.887516 | 1.487034 |
| 0.890272 | 1.48698 |
| 0.893038 | 1.486927 |
| 0.895811 | 1.486874 |
| 0.898594 | 1.486821 |
| 0.901385 | 1.486768 |
| 0.904185 | 1.486715 |
| 0.906993 | 1.486663 |
| 0.909811 | 1.486611 |
| 0.912636 | 1.486559 |
| 0.915471 | 1.486508 |
| 0.918315 | 1.486456 |
| 0.921167 | 1.486405 |
| 0.924028 | 1.486354 |
| 0.926898 | 1.486303 |
| 0.929777 | 1.486252 |
| 0.932665 | 1.486202 |
| 0.935562 | 1.486152 |
| 0.938468 | 1.486102 |
| 0.941383 | 1.486052 |
| 0.944307 | 1.486002 |
| 0.94724 | 1.485953 |
| 0.950183 | 1.485903 |
| 0.953134 | 1.485854 |
| 0.956094 | 1.485805 |
| 0.959064 | 1.485756 |
| 0.962043 | 1.485708 |
| 0.965031 | 1.485659 |
| 0.968029 | 1.485611 |
| 0.971036 | 1.485563 |
| 0.974052 | 1.485515 |
| 0.977077 | 1.485467 |
| 0.980112 | 1.48542 |
| 0.983156 | 1.485372 |
| 0.98621 | 1.485325 |
| 0.989273 | 1.485278 |
| 0.992346 | 1.485231 |
| 0.995428 | 1.485184 |
| 0.99852 | 1.485137 |
| 1.00162 | 1.485091 |
| 1.00473 | 1.485044 |
| 1.00785 | 1.484998 |
| 1.01098 | 1.484952 |
| 1.01412 | 1.484906 |
| 1.01727 | 1.48486 |
| 1.02043 | 1.484815 |
| 1.0236 | 1.484769 |
| 1.02678 | 1.484724 |
| 1.02997 | 1.484678 |
| 1.03317 | 1.484633 |
| 1.03638 | 1.484588 |
| 1.0396 | 1.484543 |
| 1.04283 | 1.484498 |
| 1.04607 | 1.484454 |
| 1.04932 | 1.484409 |
| 1.05258 | 1.484364 |
| 1.05585 | 1.48432 |
| 1.05913 | 1.484276 |
| 1.06242 | 1.484232 |
| 1.06572 | 1.484188 |
| 1.06903 | 1.484144 |
| 1.07235 | 1.4841 |
| 1.07568 | 1.484056 |
| 1.07902 | 1.484013 |
| 1.08237 | 1.483969 |
| 1.08573 | 1.483926 |
| 1.0891 | 1.483882 |
| 1.09249 | 1.483839 |
| 1.09588 | 1.483796 |
| 1.09928 | 1.483753 |
| 1.1027 | 1.48371 |
| 1.10612 | 1.483667 |
| 1.10956 | 1.483624 |
| 1.11301 | 1.483581 |
| 1.11646 | 1.483538 |
| 1.11993 | 1.483496 |
| 1.12341 | 1.483453 |
| 1.1269 | 1.483411 |
| 1.1304 | 1.483369 |
| 1.13391 | 1.483326 |
| 1.13743 | 1.483284 |
| 1.14096 | 1.483242 |
| 1.14451 | 1.4832 |
| 1.14806 | 1.483158 |
| 1.15163 | 1.483116 |
| 1.15521 | 1.483074 |
| 1.15879 | 1.483032 |
| 1.16239 | 1.48299 |
| 1.166 | 1.482948 |
| 1.16963 | 1.482906 |
| 1.17326 | 1.482865 |
| 1.1769 | 1.482823 |
| 1.18056 | 1.482782 |
| 1.18423 | 1.48274 |
| 1.1879 | 1.482699 |
| 1.19159 | 1.482657 |
| 1.1953 | 1.482616 |
| 1.19901 | 1.482574 |
| 1.20273 | 1.482533 |
| 1.20647 | 1.482492 |
| 1.21022 | 1.48245 |
| 1.21397 | 1.482409 |
| 1.21774 | 1.482368 |
| 1.22153 | 1.482327 |
| 1.22532 | 1.482285 |
| 1.22913 | 1.482244 |
| 1.23295 | 1.482203 |
| 1.23677 | 1.482162 |
| 1.24062 | 1.482121 |
| 1.24447 | 1.48208 |
| 1.24834 | 1.482039 |
| 1.25221 | 1.481998 |
| 1.2561 | 1.481957 |
| 1.26 | 1.481916 |
| 1.26392 | 1.481875 |
| 1.26784 | 1.481834 |
| 1.27178 | 1.481793 |
| 1.27573 | 1.481752 |
| 1.27969 | 1.481711 |
| 1.28367 | 1.48167 |
| 1.28766 | 1.481629 |
| 1.29166 | 1.481588 |
| 1.29567 | 1.481547 |
| 1.29969 | 1.481506 |
| 1.30373 | 1.481465 |
| 1.30778 | 1.481424 |
| 1.31184 | 1.481383 |
| 1.31592 | 1.481342 |
| 1.32 | 1.4813 |
| 1.3241 | 1.481259 |
| 1.32822 | 1.481218 |
| 1.33234 | 1.481177 |
| 1.33648 | 1.481136 |
| 1.34063 | 1.481095 |
| 1.34479 | 1.481054 |
| 1.34897 | 1.481012 |
| 1.35316 | 1.480971 |
| 1.35736 | 1.48093 |
| 1.36158 | 1.480888 |
| 1.36581 | 1.480847 |
| 1.37005 | 1.480806 |
| 1.37431 | 1.480764 |
| 1.37858 | 1.480723 |
| 1.38286 | 1.480681 |
| 1.38715 | 1.48064 |
| 1.39146 | 1.480598 |
| 1.39578 | 1.480556 |
| 1.40012 | 1.480515 |
| 1.40447 | 1.480473 |
| 1.40883 | 1.480431 |
| 1.41321 | 1.480389 |
| 1.4176 | 1.480347 |
| 1.422 | 1.480305 |
| 1.42642 | 1.480263 |
| 1.43085 | 1.480221 |
| 1.43529 | 1.480179 |
| 1.43975 | 1.480137 |
| 1.44422 | 1.480095 |
| 1.44871 | 1.480052 |
| 1.45321 | 1.48001 |
| 1.45772 | 1.479968 |
| 1.46225 | 1.479925 |
| 1.46679 | 1.479882 |
| 1.47135 | 1.47984 |
| 1.47592 | 1.479797 |
| 1.4805 | 1.479754 |
| 1.4851 | 1.479711 |
| 1.48971 | 1.479668 |
| 1.49434 | 1.479625 |
| 1.49898 | 1.479582 |
| 1.50364 | 1.479539 |
| 1.50831 | 1.479495 |
| 1.51299 | 1.479452 |
| 1.51769 | 1.479408 |
| 1.52241 | 1.479365 |
| 1.52714 | 1.479321 |
| 1.53188 | 1.479277 |
| 1.53664 | 1.479233 |
| 1.54141 | 1.479189 |
| 1.5462 | 1.479145 |
| 1.551 | 1.479101 |
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
- —
nγ; 24.5 °C (see the original publication for temperature-dependent dispersion formula).