Optical constants
Refractive index of ZnGeP2 (Zinc germanium phosphide, ZGP)
Ghosh 1998: n(o) 0.7–12 µm; 300 K
- Data
- formula 2
- Range
- 0.7–12 µm
- Temperature
- 300 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
- 3.13162
- Extinction coefficient k
- 0
- Permittivity ε1
- 9.80706
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0117252 µm⁻¹
- Group index ng
- 3.16563
- Group velocity dispersion
- 394.466 fs²/mm
- Dispersion parameter D
- -88.3516 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(o) 0.7–12 µm; 300 K
zngep2 = ls.fetch_refractiveindex("main", "ZnGeP2", "Ghosh-300K-o", 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_32f2106b2156/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-1998-300k-o).
# ... 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_32f2106b2156/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 | 3.61511259 |
| C2 | 5.12797577 |
| C3 | 0.13623774 |
| C4 | 2.1693605 |
| C5 | 900.0 |
Comments and conditions
Conditions
- temperature
- 300 K
- direction
- o
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 | 3.422973 |
| 0.705003 | 3.417346 |
| 0.710042 | 3.411849 |
| 0.715117 | 3.406477 |
| 0.720228 | 3.401228 |
| 0.725375 | 3.396097 |
| 0.73056 | 3.391082 |
| 0.735781 | 3.386178 |
| 0.74104 | 3.381382 |
| 0.746336 | 3.376692 |
| 0.75167 | 3.372105 |
| 0.757043 | 3.367617 |
| 0.762453 | 3.363225 |
| 0.767903 | 3.358928 |
| 0.773391 | 3.354722 |
| 0.778919 | 3.350605 |
| 0.784486 | 3.346574 |
| 0.790093 | 3.342628 |
| 0.79574 | 3.338764 |
| 0.801427 | 3.33498 |
| 0.807155 | 3.331273 |
| 0.812924 | 3.327642 |
| 0.818734 | 3.324085 |
| 0.824585 | 3.3206 |
| 0.830479 | 3.317185 |
| 0.836414 | 3.313838 |
| 0.842392 | 3.310558 |
| 0.848413 | 3.307342 |
| 0.854477 | 3.30419 |
| 0.860584 | 3.3011 |
| 0.866735 | 3.29807 |
| 0.87293 | 3.295099 |
| 0.879169 | 3.292185 |
| 0.885452 | 3.289327 |
| 0.891781 | 3.286524 |
| 0.898154 | 3.283774 |
| 0.904574 | 3.281077 |
| 0.911039 | 3.27843 |
| 0.91755 | 3.275834 |
| 0.924108 | 3.273285 |
| 0.930713 | 3.270785 |
| 0.937365 | 3.26833 |
| 0.944064 | 3.265922 |
| 0.950812 | 3.263557 |
| 0.957607 | 3.261236 |
| 0.964451 | 3.258957 |
| 0.971345 | 3.25672 |
| 0.978287 | 3.254523 |
| 0.985279 | 3.252366 |
| 0.992321 | 3.250248 |
| 0.999413 | 3.248168 |
| 1.00656 | 3.246125 |
| 1.01375 | 3.244118 |
| 1.021 | 3.242147 |
| 1.02829 | 3.24021 |
| 1.03564 | 3.238308 |
| 1.04304 | 3.236439 |
| 1.0505 | 3.234603 |
| 1.05801 | 3.232799 |
| 1.06557 | 3.231026 |
| 1.07318 | 3.229284 |
| 1.08085 | 3.227572 |
| 1.08858 | 3.22589 |
| 1.09636 | 3.224236 |
| 1.1042 | 3.222611 |
| 1.11209 | 3.221013 |
| 1.12004 | 3.219443 |
| 1.12804 | 3.217899 |
| 1.1361 | 3.216381 |
| 1.14422 | 3.214889 |
| 1.1524 | 3.213422 |
| 1.16064 | 3.211979 |
| 1.16893 | 3.210561 |
| 1.17729 | 3.209166 |
| 1.1857 | 3.207794 |
| 1.19418 | 3.206445 |
| 1.20271 | 3.205118 |
| 1.21131 | 3.203814 |
| 1.21997 | 3.20253 |
| 1.22868 | 3.201268 |
| 1.23747 | 3.200026 |
| 1.24631 | 3.198804 |
| 1.25522 | 3.197603 |
| 1.26419 | 3.196421 |
| 1.27322 | 3.195258 |
| 1.28232 | 3.194113 |
| 1.29149 | 3.192987 |
| 1.30072 | 3.19188 |
| 1.31002 | 3.190789 |
| 1.31938 | 3.189717 |
| 1.32881 | 3.188661 |
| 1.33831 | 3.187622 |
| 1.34787 | 3.1866 |
| 1.35751 | 3.185594 |
| 1.36721 | 3.184603 |
| 1.37698 | 3.183629 |
| 1.38682 | 3.182669 |
| 1.39673 | 3.181725 |
| 1.40672 | 3.180795 |
| 1.41677 | 3.17988 |
| 1.4269 | 3.178979 |
| 1.43709 | 3.178092 |
| 1.44736 | 3.177219 |
| 1.45771 | 3.176359 |
| 1.46813 | 3.175512 |
| 1.47862 | 3.174679 |
| 1.48919 | 3.173858 |
| 1.49983 | 3.17305 |
| 1.51055 | 3.172254 |
| 1.52135 | 3.17147 |
| 1.53222 | 3.170698 |
| 1.54317 | 3.169938 |
| 1.5542 | 3.169189 |
| 1.56531 | 3.168451 |
| 1.5765 | 3.167725 |
| 1.58776 | 3.167009 |
| 1.59911 | 3.166305 |
| 1.61054 | 3.16561 |
| 1.62205 | 3.164926 |
| 1.63365 | 3.164252 |
| 1.64532 | 3.163588 |
| 1.65708 | 3.162934 |
| 1.66892 | 3.16229 |
| 1.68085 | 3.161655 |
| 1.69287 | 3.161029 |
| 1.70497 | 3.160413 |
| 1.71715 | 3.159805 |
| 1.72942 | 3.159206 |
| 1.74178 | 3.158616 |
| 1.75423 | 3.158035 |
| 1.76677 | 3.157462 |
| 1.7794 | 3.156897 |
| 1.79212 | 3.15634 |
| 1.80492 | 3.155791 |
| 1.81782 | 3.15525 |
| 1.83082 | 3.154716 |
| 1.8439 | 3.154191 |
| 1.85708 | 3.153672 |
| 1.87035 | 3.153161 |
| 1.88372 | 3.152657 |
| 1.89719 | 3.15216 |
| 1.91074 | 3.15167 |
| 1.9244 | 3.151187 |
| 1.93816 | 3.15071 |
| 1.95201 | 3.15024 |
| 1.96596 | 3.149777 |
| 1.98001 | 3.149319 |
| 1.99416 | 3.148868 |
| 2.00841 | 3.148424 |
| 2.02277 | 3.147985 |
| 2.03723 | 3.147552 |
| 2.05179 | 3.147125 |
| 2.06645 | 3.146703 |
| 2.08122 | 3.146288 |
| 2.09609 | 3.145877 |
| 2.11108 | 3.145472 |
| 2.12616 | 3.145073 |
| 2.14136 | 3.144678 |
| 2.15666 | 3.144289 |
| 2.17208 | 3.143905 |
| 2.1876 | 3.143526 |
| 2.20324 | 3.143151 |
| 2.21899 | 3.142782 |
| 2.23484 | 3.142417 |
| 2.25082 | 3.142056 |
| 2.2669 | 3.141701 |
| 2.28311 | 3.141349 |
| 2.29942 | 3.141002 |
| 2.31586 | 3.140659 |
| 2.33241 | 3.140321 |
| 2.34908 | 3.139986 |
| 2.36587 | 3.139656 |
| 2.38278 | 3.139329 |
| 2.39981 | 3.139007 |
| 2.41696 | 3.138688 |
| 2.43424 | 3.138373 |
| 2.45163 | 3.138062 |
| 2.46916 | 3.137754 |
| 2.4868 | 3.13745 |
| 2.50458 | 3.137149 |
| 2.52248 | 3.136852 |
| 2.54051 | 3.136558 |
| 2.55866 | 3.136267 |
| 2.57695 | 3.13598 |
| 2.59537 | 3.135696 |
| 2.61392 | 3.135414 |
| 2.6326 | 3.135136 |
| 2.65142 | 3.134861 |
| 2.67037 | 3.134588 |
| 2.68945 | 3.134319 |
| 2.70867 | 3.134052 |
| 2.72803 | 3.133788 |
| 2.74753 | 3.133526 |
| 2.76717 | 3.133267 |
| 2.78695 | 3.133011 |
| 2.80686 | 3.132757 |
| 2.82693 | 3.132505 |
| 2.84713 | 3.132256 |
| 2.86748 | 3.132009 |
| 2.88797 | 3.131765 |
| 2.90861 | 3.131523 |
| 2.9294 | 3.131282 |
| 2.95034 | 3.131044 |
| 2.97143 | 3.130808 |
| 2.99266 | 3.130574 |
| 3.01405 | 3.130342 |
| 3.03559 | 3.130112 |
| 3.05729 | 3.129883 |
| 3.07914 | 3.129657 |
| 3.10115 | 3.129432 |
| 3.12331 | 3.129209 |
| 3.14564 | 3.128987 |
| 3.16812 | 3.128767 |
| 3.19076 | 3.128549 |
| 3.21357 | 3.128332 |
| 3.23653 | 3.128117 |
| 3.25967 | 3.127903 |
| 3.28296 | 3.12769 |
| 3.30643 | 3.127479 |
| 3.33006 | 3.127269 |
| 3.35386 | 3.12706 |
| 3.37783 | 3.126852 |
| 3.40197 | 3.126645 |
| 3.42629 | 3.12644 |
| 3.45078 | 3.126236 |
| 3.47544 | 3.126032 |
| 3.50028 | 3.12583 |
| 3.5253 | 3.125628 |
| 3.55049 | 3.125427 |
| 3.57587 | 3.125228 |
| 3.60142 | 3.125028 |
| 3.62716 | 3.12483 |
| 3.65309 | 3.124632 |
| 3.6792 | 3.124435 |
| 3.70549 | 3.124239 |
| 3.73198 | 3.124043 |
| 3.75865 | 3.123848 |
| 3.78551 | 3.123653 |
| 3.81257 | 3.123459 |
| 3.83982 | 3.123265 |
| 3.86726 | 3.123071 |
| 3.8949 | 3.122878 |
| 3.92274 | 3.122685 |
| 3.95078 | 3.122492 |
| 3.97901 | 3.122299 |
| 4.00745 | 3.122106 |
| 4.03609 | 3.121914 |
| 4.06494 | 3.121722 |
| 4.09399 | 3.121529 |
| 4.12325 | 3.121337 |
| 4.15272 | 3.121144 |
| 4.1824 | 3.120952 |
| 4.2123 | 3.120759 |
| 4.2424 | 3.120566 |
| 4.27272 | 3.120373 |
| 4.30326 | 3.12018 |
| 4.33402 | 3.119986 |
| 4.36499 | 3.119792 |
| 4.39619 | 3.119597 |
| 4.42761 | 3.119402 |
| 4.45926 | 3.119207 |
| 4.49113 | 3.119011 |
| 4.52323 | 3.118814 |
| 4.55556 | 3.118617 |
| 4.58812 | 3.118419 |
| 4.62091 | 3.11822 |
| 4.65393 | 3.118021 |
| 4.6872 | 3.117821 |
| 4.7207 | 3.117619 |
| 4.75444 | 3.117418 |
| 4.78842 | 3.117215 |
| 4.82264 | 3.117011 |
| 4.85711 | 3.116806 |
| 4.89182 | 3.1166 |
| 4.92679 | 3.116393 |
| 4.962 | 3.116184 |
| 4.99746 | 3.115975 |
| 5.03318 | 3.115764 |
| 5.06915 | 3.115552 |
| 5.10538 | 3.115338 |
| 5.14187 | 3.115123 |
| 5.17862 | 3.114907 |
| 5.21564 | 3.114689 |
| 5.25291 | 3.114469 |
| 5.29046 | 3.114248 |
| 5.32827 | 3.114025 |
| 5.36635 | 3.113801 |
| 5.4047 | 3.113574 |
| 5.44333 | 3.113346 |
| 5.48224 | 3.113116 |
| 5.52142 | 3.112884 |
| 5.56088 | 3.11265 |
| 5.60063 | 3.112414 |
| 5.64066 | 3.112176 |
| 5.68097 | 3.111935 |
| 5.72157 | 3.111693 |
| 5.76247 | 3.111448 |
| 5.80365 | 3.111201 |
| 5.84513 | 3.110951 |
| 5.88691 | 3.110699 |
| 5.92898 | 3.110444 |
| 5.97136 | 3.110187 |
| 6.01404 | 3.109927 |
| 6.05702 | 3.109664 |
| 6.10031 | 3.109399 |
| 6.14391 | 3.109131 |
| 6.18782 | 3.108859 |
| 6.23205 | 3.108585 |
| 6.27659 | 3.108308 |
| 6.32145 | 3.108027 |
| 6.36663 | 3.107744 |
| 6.41213 | 3.107457 |
| 6.45796 | 3.107167 |
| 6.50412 | 3.106873 |
| 6.5506 | 3.106576 |
| 6.59742 | 3.106275 |
| 6.64457 | 3.10597 |
| 6.69206 | 3.105662 |
| 6.73989 | 3.10535 |
| 6.78807 | 3.105034 |
| 6.83658 | 3.104714 |
| 6.88544 | 3.10439 |
| 6.93465 | 3.104062 |
| 6.98422 | 3.103729 |
| 7.03414 | 3.103392 |
| 7.08441 | 3.103051 |
| 7.13504 | 3.102705 |
| 7.18604 | 3.102355 |
| 7.2374 | 3.102 |
| 7.28913 | 3.10164 |
| 7.34122 | 3.101275 |
| 7.39369 | 3.100905 |
| 7.44654 | 3.10053 |
| 7.49976 | 3.100149 |
| 7.55336 | 3.099764 |
| 7.60734 | 3.099372 |
| 7.66172 | 3.098976 |
| 7.71647 | 3.098573 |
| 7.77163 | 3.098165 |
| 7.82717 | 3.097751 |
| 7.88311 | 3.09733 |
| 7.93946 | 3.096904 |
| 7.9962 | 3.096471 |
| 8.05335 | 3.096032 |
| 8.11091 | 3.095586 |
| 8.16888 | 3.095133 |
| 8.22726 | 3.094674 |
| 8.28607 | 3.094208 |
| 8.34529 | 3.093734 |
| 8.40493 | 3.093253 |
| 8.465 | 3.092765 |
| 8.5255 | 3.092269 |
| 8.58644 | 3.091765 |
| 8.64781 | 3.091254 |
| 8.70961 | 3.090734 |
| 8.77186 | 3.090206 |
| 8.83456 | 3.08967 |
| 8.8977 | 3.089125 |
| 8.96129 | 3.088571 |
| 9.02534 | 3.088009 |
| 9.08985 | 3.087437 |
| 9.15481 | 3.086855 |
| 9.22024 | 3.086265 |
| 9.28614 | 3.085664 |
| 9.35251 | 3.085053 |
| 9.41936 | 3.084433 |
| 9.48668 | 3.083801 |
| 9.55448 | 3.08316 |
| 9.62277 | 3.082507 |
| 9.69155 | 3.081843 |
| 9.76081 | 3.081168 |
| 9.83057 | 3.080481 |
| 9.90084 | 3.079783 |
| 9.9716 | 3.079072 |
| 10.0429 | 3.078349 |
| 10.1146 | 3.077613 |
| 10.1869 | 3.076864 |
| 10.2597 | 3.076102 |
| 10.3331 | 3.075326 |
| 10.4069 | 3.074537 |
| 10.4813 | 3.073734 |
| 10.5562 | 3.072915 |
| 10.6317 | 3.072083 |
| 10.7077 | 3.071234 |
| 10.7842 | 3.070371 |
| 10.8613 | 3.069491 |
| 10.9389 | 3.068596 |
| 11.0171 | 3.067683 |
| 11.0958 | 3.066754 |
| 11.1751 | 3.065807 |
| 11.255 | 3.064842 |
| 11.3354 | 3.063859 |
| 11.4164 | 3.062857 |
| 11.498 | 3.061836 |
| 11.5802 | 3.060796 |
| 11.663 | 3.059735 |
| 11.7463 | 3.058653 |
| 11.8303 | 3.057551 |
| 11.9148 | 3.056426 |
| 12 | 3.05528 |
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.