Optical constants
Refractive index of ZnGeP2 (Zinc germanium phosphide, ZGP)
Das et al. 2003: n(e) 1.32–11 µm
- Data
- formula 2
- Range
- 1.32–11 µm
- 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
- 3.16018
- Extinction coefficient k
- 0
- Permittivity ε1
- 9.98676
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00699141 µm⁻¹
- Group index ng
- 3.18682
- Group velocity dispersion
- 291.347 fs²/mm
- Dispersion parameter D
- -37.8061 ps/(nm·km)
- Photon energy
- 0.325418 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): Das et al. 2003: n(e) 1.32–11 µm
zngep2 = ls.fetch_refractiveindex("main", "ZnGeP2", "Das-e", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(zngep2.range_nm) # (1320, 11000) nm
eps = zngep2.eps([3810]) # 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_7f410768a270/lightsmith"
zngep2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(zngep2.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (zngep2/das-2003-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=1320, stop_nm=11000, 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_7f410768a270/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 1.32 to 11.0 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 2.65014 |
| C2 | 6.310153 |
| C3 | 0.125099 |
| C4 | 1.731381 |
| C5 | 900.0 |
Comments and conditions
Conditions
- direction
- e
References
- doi:10.1364/ao.42.004335 Linear and nonlinear optical properties of ZnGeP_2 crystal for infrared laser device applications: revisited, Applied Optics (2003)
Cite
Subhasis Das, Gopal C. Bhar, Sudipto Gangopadhyay and Chittaranjan Ghosh. Linear and nonlinear optical properties of ZnGeP_2 crystal for infrared laser device applications: revisited. Applied Optics, 42, 4335 (2003), doi:10.1364/ao.42.004335; 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 |
|---|---|
| 1.32 | 3.231877 |
| 1.32703 | 3.231012 |
| 1.3341 | 3.230157 |
| 1.34121 | 3.229312 |
| 1.34836 | 3.228477 |
| 1.35554 | 3.227652 |
| 1.36276 | 3.226837 |
| 1.37003 | 3.226031 |
| 1.37733 | 3.225234 |
| 1.38466 | 3.224447 |
| 1.39204 | 3.223669 |
| 1.39946 | 3.2229 |
| 1.40691 | 3.22214 |
| 1.41441 | 3.221388 |
| 1.42195 | 3.220646 |
| 1.42952 | 3.219912 |
| 1.43714 | 3.219186 |
| 1.4448 | 3.218469 |
| 1.45249 | 3.217759 |
| 1.46023 | 3.217059 |
| 1.46801 | 3.216366 |
| 1.47584 | 3.215681 |
| 1.4837 | 3.215003 |
| 1.4916 | 3.214334 |
| 1.49955 | 3.213672 |
| 1.50754 | 3.213018 |
| 1.51557 | 3.212371 |
| 1.52365 | 3.211731 |
| 1.53177 | 3.211099 |
| 1.53993 | 3.210474 |
| 1.54813 | 3.209856 |
| 1.55638 | 3.209244 |
| 1.56467 | 3.20864 |
| 1.57301 | 3.208043 |
| 1.58139 | 3.207452 |
| 1.58982 | 3.206868 |
| 1.59829 | 3.20629 |
| 1.6068 | 3.205719 |
| 1.61537 | 3.205154 |
| 1.62397 | 3.204595 |
| 1.63263 | 3.204043 |
| 1.64132 | 3.203497 |
| 1.65007 | 3.202956 |
| 1.65886 | 3.202422 |
| 1.6677 | 3.201894 |
| 1.67659 | 3.201371 |
| 1.68552 | 3.200855 |
| 1.6945 | 3.200343 |
| 1.70353 | 3.199838 |
| 1.7126 | 3.199338 |
| 1.72173 | 3.198844 |
| 1.7309 | 3.198355 |
| 1.74012 | 3.197871 |
| 1.7494 | 3.197392 |
| 1.75872 | 3.196919 |
| 1.76809 | 3.196451 |
| 1.77751 | 3.195988 |
| 1.78698 | 3.19553 |
| 1.7965 | 3.195077 |
| 1.80607 | 3.194628 |
| 1.8157 | 3.194185 |
| 1.82537 | 3.193746 |
| 1.83509 | 3.193312 |
| 1.84487 | 3.192883 |
| 1.8547 | 3.192458 |
| 1.86458 | 3.192038 |
| 1.87452 | 3.191622 |
| 1.88451 | 3.191211 |
| 1.89455 | 3.190804 |
| 1.90464 | 3.190402 |
| 1.91479 | 3.190003 |
| 1.92499 | 3.189609 |
| 1.93525 | 3.189219 |
| 1.94556 | 3.188833 |
| 1.95593 | 3.188451 |
| 1.96635 | 3.188073 |
| 1.97682 | 3.187699 |
| 1.98736 | 3.187329 |
| 1.99795 | 3.186963 |
| 2.00859 | 3.1866 |
| 2.01929 | 3.186242 |
| 2.03005 | 3.185887 |
| 2.04087 | 3.185535 |
| 2.05174 | 3.185188 |
| 2.06267 | 3.184843 |
| 2.07366 | 3.184503 |
| 2.08471 | 3.184166 |
| 2.09582 | 3.183832 |
| 2.10699 | 3.183502 |
| 2.11821 | 3.183175 |
| 2.1295 | 3.182851 |
| 2.14085 | 3.18253 |
| 2.15225 | 3.182213 |
| 2.16372 | 3.181899 |
| 2.17525 | 3.181588 |
| 2.18684 | 3.18128 |
| 2.19849 | 3.180976 |
| 2.2102 | 3.180674 |
| 2.22198 | 3.180375 |
| 2.23382 | 3.180079 |
| 2.24572 | 3.179787 |
| 2.25769 | 3.179496 |
| 2.26971 | 3.179209 |
| 2.28181 | 3.178925 |
| 2.29397 | 3.178643 |
| 2.30619 | 3.178364 |
| 2.31848 | 3.178088 |
| 2.33083 | 3.177815 |
| 2.34325 | 3.177544 |
| 2.35573 | 3.177275 |
| 2.36828 | 3.177009 |
| 2.3809 | 3.176746 |
| 2.39359 | 3.176485 |
| 2.40634 | 3.176227 |
| 2.41916 | 3.175971 |
| 2.43205 | 3.175718 |
| 2.44501 | 3.175466 |
| 2.45804 | 3.175217 |
| 2.47113 | 3.174971 |
| 2.4843 | 3.174727 |
| 2.49754 | 3.174484 |
| 2.51084 | 3.174245 |
| 2.52422 | 3.174007 |
| 2.53767 | 3.173771 |
| 2.55119 | 3.173538 |
| 2.56479 | 3.173307 |
| 2.57845 | 3.173077 |
| 2.59219 | 3.17285 |
| 2.606 | 3.172625 |
| 2.61989 | 3.172401 |
| 2.63384 | 3.17218 |
| 2.64788 | 3.171961 |
| 2.66199 | 3.171743 |
| 2.67617 | 3.171527 |
| 2.69043 | 3.171314 |
| 2.70476 | 3.171101 |
| 2.71917 | 3.170891 |
| 2.73366 | 3.170683 |
| 2.74823 | 3.170476 |
| 2.76287 | 3.170271 |
| 2.77759 | 3.170068 |
| 2.79239 | 3.169866 |
| 2.80727 | 3.169666 |
| 2.82223 | 3.169467 |
| 2.83726 | 3.16927 |
| 2.85238 | 3.169075 |
| 2.86758 | 3.168881 |
| 2.88286 | 3.168689 |
| 2.89822 | 3.168498 |
| 2.91366 | 3.168309 |
| 2.92918 | 3.168121 |
| 2.94479 | 3.167935 |
| 2.96048 | 3.16775 |
| 2.97625 | 3.167566 |
| 2.99211 | 3.167384 |
| 3.00805 | 3.167203 |
| 3.02408 | 3.167023 |
| 3.04019 | 3.166845 |
| 3.05639 | 3.166668 |
| 3.07268 | 3.166492 |
| 3.08905 | 3.166317 |
| 3.10551 | 3.166144 |
| 3.12205 | 3.165972 |
| 3.13869 | 3.1658 |
| 3.15541 | 3.165631 |
| 3.17222 | 3.165462 |
| 3.18912 | 3.165294 |
| 3.20612 | 3.165127 |
| 3.2232 | 3.164962 |
| 3.24037 | 3.164797 |
| 3.25764 | 3.164634 |
| 3.27499 | 3.164471 |
| 3.29244 | 3.16431 |
| 3.30999 | 3.164149 |
| 3.32762 | 3.16399 |
| 3.34535 | 3.163831 |
| 3.36318 | 3.163673 |
| 3.3811 | 3.163516 |
| 3.39911 | 3.16336 |
| 3.41722 | 3.163205 |
| 3.43543 | 3.163051 |
| 3.45373 | 3.162897 |
| 3.47213 | 3.162744 |
| 3.49063 | 3.162592 |
| 3.50923 | 3.162441 |
| 3.52793 | 3.162291 |
| 3.54673 | 3.162141 |
| 3.56562 | 3.161992 |
| 3.58462 | 3.161843 |
| 3.60372 | 3.161696 |
| 3.62292 | 3.161549 |
| 3.64223 | 3.161402 |
| 3.66163 | 3.161256 |
| 3.68114 | 3.161111 |
| 3.70075 | 3.160966 |
| 3.72047 | 3.160822 |
| 3.7403 | 3.160679 |
| 3.76022 | 3.160536 |
| 3.78026 | 3.160393 |
| 3.8004 | 3.160251 |
| 3.82065 | 3.16011 |
| 3.84101 | 3.159969 |
| 3.86147 | 3.159828 |
| 3.88205 | 3.159688 |
| 3.90273 | 3.159548 |
| 3.92352 | 3.159409 |
| 3.94443 | 3.15927 |
| 3.96545 | 3.159131 |
| 3.98657 | 3.158993 |
| 4.00781 | 3.158854 |
| 4.02917 | 3.158717 |
| 4.05064 | 3.158579 |
| 4.07222 | 3.158442 |
| 4.09392 | 3.158305 |
| 4.11573 | 3.158169 |
| 4.13766 | 3.158032 |
| 4.1597 | 3.157896 |
| 4.18187 | 3.15776 |
| 4.20415 | 3.157624 |
| 4.22655 | 3.157488 |
| 4.24907 | 3.157353 |
| 4.27171 | 3.157217 |
| 4.29447 | 3.157082 |
| 4.31735 | 3.156947 |
| 4.34035 | 3.156812 |
| 4.36348 | 3.156677 |
| 4.38673 | 3.156542 |
| 4.4101 | 3.156407 |
| 4.4336 | 3.156272 |
| 4.45722 | 3.156136 |
| 4.48097 | 3.156001 |
| 4.50484 | 3.155866 |
| 4.52884 | 3.155731 |
| 4.55297 | 3.155596 |
| 4.57723 | 3.155461 |
| 4.60162 | 3.155325 |
| 4.62614 | 3.15519 |
| 4.65079 | 3.155054 |
| 4.67557 | 3.154918 |
| 4.70048 | 3.154782 |
| 4.72552 | 3.154646 |
| 4.7507 | 3.15451 |
| 4.77601 | 3.154373 |
| 4.80146 | 3.154236 |
| 4.82704 | 3.154099 |
| 4.85276 | 3.153961 |
| 4.87862 | 3.153824 |
| 4.90461 | 3.153686 |
| 4.93074 | 3.153547 |
| 4.95701 | 3.153409 |
| 4.98343 | 3.15327 |
| 5.00998 | 3.15313 |
| 5.03667 | 3.15299 |
| 5.06351 | 3.15285 |
| 5.09049 | 3.152709 |
| 5.11761 | 3.152568 |
| 5.14488 | 3.152426 |
| 5.17229 | 3.152284 |
| 5.19985 | 3.152142 |
| 5.22755 | 3.151999 |
| 5.25541 | 3.151855 |
| 5.28341 | 3.151711 |
| 5.31156 | 3.151566 |
| 5.33986 | 3.15142 |
| 5.36831 | 3.151274 |
| 5.39691 | 3.151128 |
| 5.42567 | 3.15098 |
| 5.45457 | 3.150832 |
| 5.48364 | 3.150684 |
| 5.51285 | 3.150534 |
| 5.54223 | 3.150384 |
| 5.57176 | 3.150233 |
| 5.60144 | 3.150081 |
| 5.63129 | 3.149929 |
| 5.66129 | 3.149776 |
| 5.69146 | 3.149621 |
| 5.72178 | 3.149466 |
| 5.75227 | 3.14931 |
| 5.78292 | 3.149154 |
| 5.81373 | 3.148996 |
| 5.8447 | 3.148837 |
| 5.87585 | 3.148678 |
| 5.90715 | 3.148517 |
| 5.93863 | 3.148356 |
| 5.97027 | 3.148193 |
| 6.00208 | 3.148029 |
| 6.03406 | 3.147865 |
| 6.06621 | 3.147699 |
| 6.09853 | 3.147532 |
| 6.13102 | 3.147364 |
| 6.16369 | 3.147195 |
| 6.19653 | 3.147024 |
| 6.22955 | 3.146852 |
| 6.26274 | 3.14668 |
| 6.2961 | 3.146505 |
| 6.32965 | 3.14633 |
| 6.36338 | 3.146153 |
| 6.39728 | 3.145975 |
| 6.43137 | 3.145796 |
| 6.46563 | 3.145615 |
| 6.50008 | 3.145433 |
| 6.53472 | 3.145249 |
| 6.56953 | 3.145064 |
| 6.60454 | 3.144877 |
| 6.63973 | 3.144689 |
| 6.6751 | 3.1445 |
| 6.71067 | 3.144308 |
| 6.74642 | 3.144116 |
| 6.78237 | 3.143921 |
| 6.81851 | 3.143725 |
| 6.85484 | 3.143527 |
| 6.89136 | 3.143328 |
| 6.92808 | 3.143126 |
| 6.96499 | 3.142923 |
| 7.0021 | 3.142719 |
| 7.03941 | 3.142512 |
| 7.07691 | 3.142303 |
| 7.11462 | 3.142093 |
| 7.15253 | 3.14188 |
| 7.19064 | 3.141666 |
| 7.22895 | 3.14145 |
| 7.26747 | 3.141231 |
| 7.30619 | 3.141011 |
| 7.34512 | 3.140788 |
| 7.38425 | 3.140564 |
| 7.42359 | 3.140337 |
| 7.46315 | 3.140108 |
| 7.50291 | 3.139877 |
| 7.54289 | 3.139643 |
| 7.58308 | 3.139407 |
| 7.62348 | 3.139169 |
| 7.6641 | 3.138929 |
| 7.70494 | 3.138686 |
| 7.74599 | 3.13844 |
| 7.78726 | 3.138192 |
| 7.82875 | 3.137942 |
| 7.87046 | 3.137688 |
| 7.9124 | 3.137433 |
| 7.95455 | 3.137174 |
| 7.99694 | 3.136913 |
| 8.03955 | 3.136649 |
| 8.08238 | 3.136383 |
| 8.12544 | 3.136113 |
| 8.16874 | 3.135841 |
| 8.21226 | 3.135565 |
| 8.25602 | 3.135287 |
| 8.30001 | 3.135006 |
| 8.34423 | 3.134721 |
| 8.38869 | 3.134433 |
| 8.43338 | 3.134143 |
| 8.47832 | 3.133849 |
| 8.52349 | 3.133551 |
| 8.5689 | 3.133251 |
| 8.61456 | 3.132947 |
| 8.66046 | 3.132639 |
| 8.7066 | 3.132328 |
| 8.75299 | 3.132014 |
| 8.79963 | 3.131696 |
| 8.84651 | 3.131374 |
| 8.89365 | 3.131048 |
| 8.94104 | 3.130719 |
| 8.98867 | 3.130386 |
| 9.03657 | 3.130049 |
| 9.08471 | 3.129708 |
| 9.13312 | 3.129363 |
| 9.18178 | 3.129014 |
| 9.2307 | 3.12866 |
| 9.27988 | 3.128303 |
| 9.32933 | 3.127941 |
| 9.37904 | 3.127574 |
| 9.42901 | 3.127204 |
| 9.47925 | 3.126828 |
| 9.52975 | 3.126449 |
| 9.58053 | 3.126064 |
| 9.63157 | 3.125675 |
| 9.68289 | 3.125281 |
| 9.73448 | 3.124882 |
| 9.78635 | 3.124478 |
| 9.83849 | 3.124069 |
| 9.89091 | 3.123655 |
| 9.94361 | 3.123235 |
| 9.99659 | 3.122811 |
| 10.0499 | 3.12238 |
| 10.1034 | 3.121945 |
| 10.1572 | 3.121503 |
| 10.2114 | 3.121056 |
| 10.2658 | 3.120604 |
| 10.3205 | 3.120145 |
| 10.3754 | 3.119681 |
| 10.4307 | 3.11921 |
| 10.4863 | 3.118733 |
| 10.5422 | 3.11825 |
| 10.5983 | 3.11776 |
| 10.6548 | 3.117264 |
| 10.7116 | 3.116761 |
| 10.7687 | 3.116252 |
| 10.826 | 3.115735 |
| 10.8837 | 3.115212 |
| 10.9417 | 3.114682 |
| 11 | 3.114144 |
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)