Optical constants
Refractive index of ZnGeP2 (Zinc germanium phosphide, ZGP)
Ghosh 1998: n(e) 0.7–12 µm; 100 K
- Data
- formula 2
- Range
- 0.7–12 µm
- Temperature
- 100 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
- 3.1447
- Extinction coefficient k
- 0
- Permittivity ε1
- 9.88913
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0117297 µm⁻¹
- Group index ng
- 3.17871
- Group velocity dispersion
- 399.037 fs²/mm
- Dispersion parameter D
- -89.3753 ps/(nm·km)
- Photon energy
- 0.427532 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
# ZnGeP2 (Zinc germanium phosphide, ZGP): Ghosh 1998: n(e) 0.7–12 µm; 100 K
zngep2 = ls.fetch_refractiveindex("main", "ZnGeP2", "Ghosh-100K-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(zngep2.range_nm) # (700, 12000) nm
eps = zngep2.eps([2900]) # complex permittivityDownloads 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_2fe615a51365/lightsmith"
zngep2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(zngep2.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (zngep2/ghosh-1998-100k-e).
# ... load zngep2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=zngep2)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=700, stop_nm=1000, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelengthSame 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_2fe615a51365/lightsmith?model=drude_lorentz"
zngep2_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 (C in µm²) (formula 2), λ in µmValid from 0.7 to 12.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 3.53789703 |
| C2 | 5.2855931 |
| C3 | 0.1339049 |
| C4 | 2.10759312 |
| C5 | 900.0 |
Comments and conditions
Conditions
- temperature
- 100 K
- direction
- e
References
G. Ghosh.
Sellmeier coefficients for the birefringence and refractive indices of ZnGeP2 nonlinear crystal at different temperatures.
Appl. Opt., 37, 1205-1212 (1998)
- doi:10.1364/ao.37.001205 Sellmeier coefficients for the birefringence and refractive indices of ZnGeP_2 nonlinear crystal at different temperatures, Applied Optics (1998)
Cite
Gorachand Ghosh. Sellmeier coefficients for the birefringence and refractive indices of ZnGeP_2 nonlinear crystal at different temperatures. Applied Optics, 37, 1205 (1998), doi:10.1364/ao.37.001205; 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
CSV comma separated
TXT tab separated
YAML n, k
Full database record original YAML
All quantities CSV
JSON metadata
| λ (µm) | n |
|---|---|
| 0.7 | 3.436556 |
| 0.705003 | 3.430952 |
| 0.710042 | 3.425475 |
| 0.715117 | 3.420122 |
| 0.720228 | 3.41489 |
| 0.725375 | 3.409775 |
| 0.73056 | 3.404774 |
| 0.735781 | 3.399883 |
| 0.74104 | 3.395099 |
| 0.746336 | 3.39042 |
| 0.75167 | 3.385841 |
| 0.757043 | 3.381362 |
| 0.762453 | 3.376977 |
| 0.767903 | 3.372686 |
| 0.773391 | 3.368486 |
| 0.778919 | 3.364373 |
| 0.784486 | 3.360347 |
| 0.790093 | 3.356403 |
| 0.79574 | 3.352541 |
| 0.801427 | 3.348759 |
| 0.807155 | 3.345053 |
| 0.812924 | 3.341423 |
| 0.818734 | 3.337865 |
| 0.824585 | 3.33438 |
| 0.830479 | 3.330963 |
| 0.836414 | 3.327615 |
| 0.842392 | 3.324332 |
| 0.848413 | 3.321115 |
| 0.854477 | 3.31796 |
| 0.860584 | 3.314866 |
| 0.866735 | 3.311833 |
| 0.87293 | 3.308858 |
| 0.879169 | 3.30594 |
| 0.885452 | 3.303078 |
| 0.891781 | 3.30027 |
| 0.898154 | 3.297516 |
| 0.904574 | 3.294813 |
| 0.911039 | 3.292161 |
| 0.91755 | 3.289559 |
| 0.924108 | 3.287005 |
| 0.930713 | 3.284498 |
| 0.937365 | 3.282038 |
| 0.944064 | 3.279623 |
| 0.950812 | 3.277253 |
| 0.957607 | 3.274925 |
| 0.964451 | 3.27264 |
| 0.971345 | 3.270396 |
| 0.978287 | 3.268193 |
| 0.985279 | 3.266029 |
| 0.992321 | 3.263904 |
| 0.999413 | 3.261817 |
| 1.00656 | 3.259767 |
| 1.01375 | 3.257753 |
| 1.021 | 3.255775 |
| 1.02829 | 3.253832 |
| 1.03564 | 3.251923 |
| 1.04304 | 3.250047 |
| 1.0505 | 3.248204 |
| 1.05801 | 3.246393 |
| 1.06557 | 3.244613 |
| 1.07318 | 3.242864 |
| 1.08085 | 3.241145 |
| 1.08858 | 3.239455 |
| 1.09636 | 3.237794 |
| 1.1042 | 3.236162 |
| 1.11209 | 3.234557 |
| 1.12004 | 3.23298 |
| 1.12804 | 3.231429 |
| 1.1361 | 3.229904 |
| 1.14422 | 3.228405 |
| 1.1524 | 3.226931 |
| 1.16064 | 3.225481 |
| 1.16893 | 3.224056 |
| 1.17729 | 3.222655 |
| 1.1857 | 3.221276 |
| 1.19418 | 3.21992 |
| 1.20271 | 3.218587 |
| 1.21131 | 3.217276 |
| 1.21997 | 3.215986 |
| 1.22868 | 3.214717 |
| 1.23747 | 3.213469 |
| 1.24631 | 3.212241 |
| 1.25522 | 3.211033 |
| 1.26419 | 3.209844 |
| 1.27322 | 3.208675 |
| 1.28232 | 3.207524 |
| 1.29149 | 3.206392 |
| 1.30072 | 3.205278 |
| 1.31002 | 3.204182 |
| 1.31938 | 3.203104 |
| 1.32881 | 3.202042 |
| 1.33831 | 3.200997 |
| 1.34787 | 3.199969 |
| 1.35751 | 3.198957 |
| 1.36721 | 3.197961 |
| 1.37698 | 3.196981 |
| 1.38682 | 3.196016 |
| 1.39673 | 3.195066 |
| 1.40672 | 3.194131 |
| 1.41677 | 3.19321 |
| 1.4269 | 3.192304 |
| 1.43709 | 3.191412 |
| 1.44736 | 3.190533 |
| 1.45771 | 3.189668 |
| 1.46813 | 3.188817 |
| 1.47862 | 3.187978 |
| 1.48919 | 3.187152 |
| 1.49983 | 3.186339 |
| 1.51055 | 3.185538 |
| 1.52135 | 3.18475 |
| 1.53222 | 3.183973 |
| 1.54317 | 3.183208 |
| 1.5542 | 3.182455 |
| 1.56531 | 3.181713 |
| 1.5765 | 3.180982 |
| 1.58776 | 3.180262 |
| 1.59911 | 3.179553 |
| 1.61054 | 3.178854 |
| 1.62205 | 3.178166 |
| 1.63365 | 3.177488 |
| 1.64532 | 3.17682 |
| 1.65708 | 3.176162 |
| 1.66892 | 3.175514 |
| 1.68085 | 3.174875 |
| 1.69287 | 3.174245 |
| 1.70497 | 3.173625 |
| 1.71715 | 3.173014 |
| 1.72942 | 3.172411 |
| 1.74178 | 3.171818 |
| 1.75423 | 3.171232 |
| 1.76677 | 3.170656 |
| 1.7794 | 3.170087 |
| 1.79212 | 3.169527 |
| 1.80492 | 3.168975 |
| 1.81782 | 3.168431 |
| 1.83082 | 3.167894 |
| 1.8439 | 3.167365 |
| 1.85708 | 3.166843 |
| 1.87035 | 3.166329 |
| 1.88372 | 3.165822 |
| 1.89719 | 3.165322 |
| 1.91074 | 3.164829 |
| 1.9244 | 3.164343 |
| 1.93816 | 3.163864 |
| 1.95201 | 3.163391 |
| 1.96596 | 3.162925 |
| 1.98001 | 3.162465 |
| 1.99416 | 3.162012 |
| 2.00841 | 3.161564 |
| 2.02277 | 3.161123 |
| 2.03723 | 3.160688 |
| 2.05179 | 3.160258 |
| 2.06645 | 3.159834 |
| 2.08122 | 3.159416 |
| 2.09609 | 3.159004 |
| 2.11108 | 3.158597 |
| 2.12616 | 3.158195 |
| 2.14136 | 3.157799 |
| 2.15666 | 3.157407 |
| 2.17208 | 3.157021 |
| 2.1876 | 3.15664 |
| 2.20324 | 3.156264 |
| 2.21899 | 3.155892 |
| 2.23484 | 3.155525 |
| 2.25082 | 3.155163 |
| 2.2669 | 3.154806 |
| 2.28311 | 3.154453 |
| 2.29942 | 3.154104 |
| 2.31586 | 3.15376 |
| 2.33241 | 3.15342 |
| 2.34908 | 3.153084 |
| 2.36587 | 3.152752 |
| 2.38278 | 3.152424 |
| 2.39981 | 3.152101 |
| 2.41696 | 3.151781 |
| 2.43424 | 3.151464 |
| 2.45163 | 3.151152 |
| 2.46916 | 3.150843 |
| 2.4868 | 3.150538 |
| 2.50458 | 3.150236 |
| 2.52248 | 3.149938 |
| 2.54051 | 3.149643 |
| 2.55866 | 3.149351 |
| 2.57695 | 3.149063 |
| 2.59537 | 3.148778 |
| 2.61392 | 3.148496 |
| 2.6326 | 3.148217 |
| 2.65142 | 3.147941 |
| 2.67037 | 3.147668 |
| 2.68945 | 3.147397 |
| 2.70867 | 3.14713 |
| 2.72803 | 3.146865 |
| 2.74753 | 3.146603 |
| 2.76717 | 3.146344 |
| 2.78695 | 3.146087 |
| 2.80686 | 3.145833 |
| 2.82693 | 3.145581 |
| 2.84713 | 3.145332 |
| 2.86748 | 3.145085 |
| 2.88797 | 3.14484 |
| 2.90861 | 3.144598 |
| 2.9294 | 3.144358 |
| 2.95034 | 3.14412 |
| 2.97143 | 3.143884 |
| 2.99266 | 3.14365 |
| 3.01405 | 3.143418 |
| 3.03559 | 3.143188 |
| 3.05729 | 3.142959 |
| 3.07914 | 3.142733 |
| 3.10115 | 3.142508 |
| 3.12331 | 3.142286 |
| 3.14564 | 3.142065 |
| 3.16812 | 3.141845 |
| 3.19076 | 3.141627 |
| 3.21357 | 3.141411 |
| 3.23653 | 3.141196 |
| 3.25967 | 3.140983 |
| 3.28296 | 3.140771 |
| 3.30643 | 3.14056 |
| 3.33006 | 3.140351 |
| 3.35386 | 3.140143 |
| 3.37783 | 3.139936 |
| 3.40197 | 3.13973 |
| 3.42629 | 3.139526 |
| 3.45078 | 3.139322 |
| 3.47544 | 3.13912 |
| 3.50028 | 3.138918 |
| 3.5253 | 3.138718 |
| 3.55049 | 3.138519 |
| 3.57587 | 3.13832 |
| 3.60142 | 3.138122 |
| 3.62716 | 3.137925 |
| 3.65309 | 3.137729 |
| 3.6792 | 3.137533 |
| 3.70549 | 3.137338 |
| 3.73198 | 3.137144 |
| 3.75865 | 3.13695 |
| 3.78551 | 3.136757 |
| 3.81257 | 3.136564 |
| 3.83982 | 3.136372 |
| 3.86726 | 3.13618 |
| 3.8949 | 3.135989 |
| 3.92274 | 3.135798 |
| 3.95078 | 3.135607 |
| 3.97901 | 3.135416 |
| 4.00745 | 3.135226 |
| 4.03609 | 3.135035 |
| 4.06494 | 3.134845 |
| 4.09399 | 3.134655 |
| 4.12325 | 3.134465 |
| 4.15272 | 3.134275 |
| 4.1824 | 3.134085 |
| 4.2123 | 3.133895 |
| 4.2424 | 3.133704 |
| 4.27272 | 3.133514 |
| 4.30326 | 3.133323 |
| 4.33402 | 3.133132 |
| 4.36499 | 3.132941 |
| 4.39619 | 3.132749 |
| 4.42761 | 3.132557 |
| 4.45926 | 3.132364 |
| 4.49113 | 3.132171 |
| 4.52323 | 3.131978 |
| 4.55556 | 3.131784 |
| 4.58812 | 3.131589 |
| 4.62091 | 3.131394 |
| 4.65393 | 3.131198 |
| 4.6872 | 3.131001 |
| 4.7207 | 3.130804 |
| 4.75444 | 3.130605 |
| 4.78842 | 3.130406 |
| 4.82264 | 3.130206 |
| 4.85711 | 3.130005 |
| 4.89182 | 3.129803 |
| 4.92679 | 3.129599 |
| 4.962 | 3.129395 |
| 4.99746 | 3.12919 |
| 5.03318 | 3.128983 |
| 5.06915 | 3.128775 |
| 5.10538 | 3.128566 |
| 5.14187 | 3.128356 |
| 5.17862 | 3.128144 |
| 5.21564 | 3.12793 |
| 5.25291 | 3.127716 |
| 5.29046 | 3.127499 |
| 5.32827 | 3.127281 |
| 5.36635 | 3.127062 |
| 5.4047 | 3.126841 |
| 5.44333 | 3.126618 |
| 5.48224 | 3.126393 |
| 5.52142 | 3.126166 |
| 5.56088 | 3.125937 |
| 5.60063 | 3.125707 |
| 5.64066 | 3.125474 |
| 5.68097 | 3.12524 |
| 5.72157 | 3.125003 |
| 5.76247 | 3.124764 |
| 5.80365 | 3.124523 |
| 5.84513 | 3.12428 |
| 5.88691 | 3.124034 |
| 5.92898 | 3.123785 |
| 5.97136 | 3.123535 |
| 6.01404 | 3.123281 |
| 6.05702 | 3.123025 |
| 6.10031 | 3.122767 |
| 6.14391 | 3.122506 |
| 6.18782 | 3.122241 |
| 6.23205 | 3.121974 |
| 6.27659 | 3.121704 |
| 6.32145 | 3.121431 |
| 6.36663 | 3.121155 |
| 6.41213 | 3.120876 |
| 6.45796 | 3.120594 |
| 6.50412 | 3.120308 |
| 6.5506 | 3.120019 |
| 6.59742 | 3.119726 |
| 6.64457 | 3.11943 |
| 6.69206 | 3.119131 |
| 6.73989 | 3.118827 |
| 6.78807 | 3.11852 |
| 6.83658 | 3.118209 |
| 6.88544 | 3.117894 |
| 6.93465 | 3.117576 |
| 6.98422 | 3.117253 |
| 7.03414 | 3.116925 |
| 7.08441 | 3.116594 |
| 7.13504 | 3.116258 |
| 7.18604 | 3.115918 |
| 7.2374 | 3.115573 |
| 7.28913 | 3.115223 |
| 7.34122 | 3.114869 |
| 7.39369 | 3.11451 |
| 7.44654 | 3.114146 |
| 7.49976 | 3.113777 |
| 7.55336 | 3.113403 |
| 7.60734 | 3.113023 |
| 7.66172 | 3.112638 |
| 7.71647 | 3.112248 |
| 7.77163 | 3.111852 |
| 7.82717 | 3.11145 |
| 7.88311 | 3.111042 |
| 7.93946 | 3.110629 |
| 7.9962 | 3.110209 |
| 8.05335 | 3.109783 |
| 8.11091 | 3.109351 |
| 8.16888 | 3.108912 |
| 8.22726 | 3.108467 |
| 8.28607 | 3.108015 |
| 8.34529 | 3.107556 |
| 8.40493 | 3.10709 |
| 8.465 | 3.106617 |
| 8.5255 | 3.106136 |
| 8.58644 | 3.105648 |
| 8.64781 | 3.105152 |
| 8.70961 | 3.104649 |
| 8.77186 | 3.104138 |
| 8.83456 | 3.103618 |
| 8.8977 | 3.10309 |
| 8.96129 | 3.102554 |
| 9.02534 | 3.102009 |
| 9.08985 | 3.101455 |
| 9.15481 | 3.100892 |
| 9.22024 | 3.10032 |
| 9.28614 | 3.099738 |
| 9.35251 | 3.099147 |
| 9.41936 | 3.098546 |
| 9.48668 | 3.097934 |
| 9.55448 | 3.097313 |
| 9.62277 | 3.096681 |
| 9.69155 | 3.096038 |
| 9.76081 | 3.095385 |
| 9.83057 | 3.09472 |
| 9.90084 | 3.094044 |
| 9.9716 | 3.093356 |
| 10.0429 | 3.092656 |
| 10.1146 | 3.091943 |
| 10.1869 | 3.091219 |
| 10.2597 | 3.090481 |
| 10.3331 | 3.089731 |
| 10.4069 | 3.088967 |
| 10.4813 | 3.088189 |
| 10.5562 | 3.087397 |
| 10.6317 | 3.086591 |
| 10.7077 | 3.085771 |
| 10.7842 | 3.084935 |
| 10.8613 | 3.084084 |
| 10.9389 | 3.083217 |
| 11.0171 | 3.082334 |
| 11.0958 | 3.081435 |
| 11.1751 | 3.080519 |
| 11.255 | 3.079586 |
| 11.3354 | 3.078635 |
| 11.4164 | 3.077666 |
| 11.498 | 3.076678 |
| 11.5802 | 3.075671 |
| 11.663 | 3.074645 |
| 11.7463 | 3.073599 |
| 11.8303 | 3.072533 |
| 11.9148 | 3.071445 |
| 12 | 3.070336 |
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
- —
Critical analysis of experimental data from multiple sources.