Optical constants
Refractive index of ZnGeP2 (Zinc germanium phosphide, ZGP)
Das et al. 2003: n(o) 1.32–11 µm
- Data
- formula 2
- Range
- 1.32–11 µm
- 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
- 3.12522
- Extinction coefficient k
- 0
- Permittivity ε1
- 9.76701
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00649609 µm⁻¹
- Group index ng
- 3.14997
- Group velocity dispersion
- 226.744 fs²/mm
- Dispersion parameter D
- -29.4229 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(o) 1.32–11 µm
zngep2 = ls.fetch_refractiveindex("main", "ZnGeP2", "Das-o", 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_4a5ae393b08b/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-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=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_4a5ae393b08b/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 | 4.67491 |
| C2 | 4.077926 |
| C3 | 0.159328 |
| C4 | 1.896005 |
| C5 | 900.0 |
Comments and conditions
Conditions
- direction
- o
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 | 3.18741 |
| 1.32703 | 3.186655 |
| 1.3341 | 3.18591 |
| 1.34121 | 3.185173 |
| 1.34836 | 3.184446 |
| 1.35554 | 3.183728 |
| 1.36276 | 3.183018 |
| 1.37003 | 3.182317 |
| 1.37733 | 3.181624 |
| 1.38466 | 3.18094 |
| 1.39204 | 3.180264 |
| 1.39946 | 3.179596 |
| 1.40691 | 3.178936 |
| 1.41441 | 3.178284 |
| 1.42195 | 3.17764 |
| 1.42952 | 3.177003 |
| 1.43714 | 3.176374 |
| 1.4448 | 3.175753 |
| 1.45249 | 3.175138 |
| 1.46023 | 3.174532 |
| 1.46801 | 3.173932 |
| 1.47584 | 3.173339 |
| 1.4837 | 3.172753 |
| 1.4916 | 3.172174 |
| 1.49955 | 3.171602 |
| 1.50754 | 3.171037 |
| 1.51557 | 3.170478 |
| 1.52365 | 3.169926 |
| 1.53177 | 3.16938 |
| 1.53993 | 3.16884 |
| 1.54813 | 3.168307 |
| 1.55638 | 3.16778 |
| 1.56467 | 3.167259 |
| 1.57301 | 3.166744 |
| 1.58139 | 3.166234 |
| 1.58982 | 3.165731 |
| 1.59829 | 3.165233 |
| 1.6068 | 3.164741 |
| 1.61537 | 3.164255 |
| 1.62397 | 3.163774 |
| 1.63263 | 3.163299 |
| 1.64132 | 3.162829 |
| 1.65007 | 3.162364 |
| 1.65886 | 3.161904 |
| 1.6677 | 3.16145 |
| 1.67659 | 3.161001 |
| 1.68552 | 3.160557 |
| 1.6945 | 3.160118 |
| 1.70353 | 3.159683 |
| 1.7126 | 3.159254 |
| 1.72173 | 3.158829 |
| 1.7309 | 3.158409 |
| 1.74012 | 3.157994 |
| 1.7494 | 3.157583 |
| 1.75872 | 3.157176 |
| 1.76809 | 3.156775 |
| 1.77751 | 3.156377 |
| 1.78698 | 3.155984 |
| 1.7965 | 3.155595 |
| 1.80607 | 3.155211 |
| 1.8157 | 3.15483 |
| 1.82537 | 3.154454 |
| 1.83509 | 3.154082 |
| 1.84487 | 3.153714 |
| 1.8547 | 3.15335 |
| 1.86458 | 3.152989 |
| 1.87452 | 3.152633 |
| 1.88451 | 3.15228 |
| 1.89455 | 3.151931 |
| 1.90464 | 3.151586 |
| 1.91479 | 3.151244 |
| 1.92499 | 3.150907 |
| 1.93525 | 3.150572 |
| 1.94556 | 3.150241 |
| 1.95593 | 3.149914 |
| 1.96635 | 3.14959 |
| 1.97682 | 3.149269 |
| 1.98736 | 3.148952 |
| 1.99795 | 3.148638 |
| 2.00859 | 3.148327 |
| 2.01929 | 3.14802 |
| 2.03005 | 3.147716 |
| 2.04087 | 3.147414 |
| 2.05174 | 3.147116 |
| 2.06267 | 3.146821 |
| 2.07366 | 3.146529 |
| 2.08471 | 3.14624 |
| 2.09582 | 3.145953 |
| 2.10699 | 3.14567 |
| 2.11821 | 3.14539 |
| 2.1295 | 3.145112 |
| 2.14085 | 3.144837 |
| 2.15225 | 3.144565 |
| 2.16372 | 3.144295 |
| 2.17525 | 3.144028 |
| 2.18684 | 3.143764 |
| 2.19849 | 3.143502 |
| 2.2102 | 3.143243 |
| 2.22198 | 3.142987 |
| 2.23382 | 3.142732 |
| 2.24572 | 3.142481 |
| 2.25769 | 3.142232 |
| 2.26971 | 3.141985 |
| 2.28181 | 3.14174 |
| 2.29397 | 3.141498 |
| 2.30619 | 3.141258 |
| 2.31848 | 3.14102 |
| 2.33083 | 3.140785 |
| 2.34325 | 3.140552 |
| 2.35573 | 3.14032 |
| 2.36828 | 3.140091 |
| 2.3809 | 3.139865 |
| 2.39359 | 3.13964 |
| 2.40634 | 3.139417 |
| 2.41916 | 3.139196 |
| 2.43205 | 3.138978 |
| 2.44501 | 3.138761 |
| 2.45804 | 3.138546 |
| 2.47113 | 3.138333 |
| 2.4843 | 3.138122 |
| 2.49754 | 3.137913 |
| 2.51084 | 3.137705 |
| 2.52422 | 3.1375 |
| 2.53767 | 3.137296 |
| 2.55119 | 3.137094 |
| 2.56479 | 3.136893 |
| 2.57845 | 3.136694 |
| 2.59219 | 3.136497 |
| 2.606 | 3.136302 |
| 2.61989 | 3.136108 |
| 2.63384 | 3.135916 |
| 2.64788 | 3.135725 |
| 2.66199 | 3.135536 |
| 2.67617 | 3.135349 |
| 2.69043 | 3.135163 |
| 2.70476 | 3.134978 |
| 2.71917 | 3.134795 |
| 2.73366 | 3.134613 |
| 2.74823 | 3.134433 |
| 2.76287 | 3.134254 |
| 2.77759 | 3.134076 |
| 2.79239 | 3.1339 |
| 2.80727 | 3.133725 |
| 2.82223 | 3.133552 |
| 2.83726 | 3.133379 |
| 2.85238 | 3.133208 |
| 2.86758 | 3.133038 |
| 2.88286 | 3.132869 |
| 2.89822 | 3.132702 |
| 2.91366 | 3.132536 |
| 2.92918 | 3.13237 |
| 2.94479 | 3.132206 |
| 2.96048 | 3.132043 |
| 2.97625 | 3.131881 |
| 2.99211 | 3.131721 |
| 3.00805 | 3.131561 |
| 3.02408 | 3.131402 |
| 3.04019 | 3.131244 |
| 3.05639 | 3.131088 |
| 3.07268 | 3.130932 |
| 3.08905 | 3.130777 |
| 3.10551 | 3.130623 |
| 3.12205 | 3.13047 |
| 3.13869 | 3.130318 |
| 3.15541 | 3.130167 |
| 3.17222 | 3.130016 |
| 3.18912 | 3.129867 |
| 3.20612 | 3.129718 |
| 3.2232 | 3.12957 |
| 3.24037 | 3.129423 |
| 3.25764 | 3.129276 |
| 3.27499 | 3.129131 |
| 3.29244 | 3.128986 |
| 3.30999 | 3.128842 |
| 3.32762 | 3.128698 |
| 3.34535 | 3.128555 |
| 3.36318 | 3.128413 |
| 3.3811 | 3.128271 |
| 3.39911 | 3.12813 |
| 3.41722 | 3.12799 |
| 3.43543 | 3.12785 |
| 3.45373 | 3.127711 |
| 3.47213 | 3.127572 |
| 3.49063 | 3.127434 |
| 3.50923 | 3.127297 |
| 3.52793 | 3.12716 |
| 3.54673 | 3.127023 |
| 3.56562 | 3.126887 |
| 3.58462 | 3.126751 |
| 3.60372 | 3.126616 |
| 3.62292 | 3.126481 |
| 3.64223 | 3.126347 |
| 3.66163 | 3.126213 |
| 3.68114 | 3.126079 |
| 3.70075 | 3.125946 |
| 3.72047 | 3.125813 |
| 3.7403 | 3.12568 |
| 3.76022 | 3.125548 |
| 3.78026 | 3.125416 |
| 3.8004 | 3.125284 |
| 3.82065 | 3.125153 |
| 3.84101 | 3.125021 |
| 3.86147 | 3.12489 |
| 3.88205 | 3.124759 |
| 3.90273 | 3.124629 |
| 3.92352 | 3.124498 |
| 3.94443 | 3.124368 |
| 3.96545 | 3.124238 |
| 3.98657 | 3.124108 |
| 4.00781 | 3.123978 |
| 4.02917 | 3.123848 |
| 4.05064 | 3.123718 |
| 4.07222 | 3.123589 |
| 4.09392 | 3.123459 |
| 4.11573 | 3.123329 |
| 4.13766 | 3.1232 |
| 4.1597 | 3.12307 |
| 4.18187 | 3.122941 |
| 4.20415 | 3.122811 |
| 4.22655 | 3.122681 |
| 4.24907 | 3.122552 |
| 4.27171 | 3.122422 |
| 4.29447 | 3.122292 |
| 4.31735 | 3.122162 |
| 4.34035 | 3.122032 |
| 4.36348 | 3.121902 |
| 4.38673 | 3.121771 |
| 4.4101 | 3.121641 |
| 4.4336 | 3.12151 |
| 4.45722 | 3.121379 |
| 4.48097 | 3.121248 |
| 4.50484 | 3.121116 |
| 4.52884 | 3.120985 |
| 4.55297 | 3.120853 |
| 4.57723 | 3.12072 |
| 4.60162 | 3.120588 |
| 4.62614 | 3.120455 |
| 4.65079 | 3.120322 |
| 4.67557 | 3.120188 |
| 4.70048 | 3.120054 |
| 4.72552 | 3.11992 |
| 4.7507 | 3.119785 |
| 4.77601 | 3.11965 |
| 4.80146 | 3.119515 |
| 4.82704 | 3.119378 |
| 4.85276 | 3.119242 |
| 4.87862 | 3.119105 |
| 4.90461 | 3.118967 |
| 4.93074 | 3.118829 |
| 4.95701 | 3.118691 |
| 4.98343 | 3.118552 |
| 5.00998 | 3.118412 |
| 5.03667 | 3.118272 |
| 5.06351 | 3.118131 |
| 5.09049 | 3.117989 |
| 5.11761 | 3.117847 |
| 5.14488 | 3.117704 |
| 5.17229 | 3.11756 |
| 5.19985 | 3.117416 |
| 5.22755 | 3.117271 |
| 5.25541 | 3.117125 |
| 5.28341 | 3.116979 |
| 5.31156 | 3.116831 |
| 5.33986 | 3.116683 |
| 5.36831 | 3.116534 |
| 5.39691 | 3.116385 |
| 5.42567 | 3.116234 |
| 5.45457 | 3.116082 |
| 5.48364 | 3.11593 |
| 5.51285 | 3.115777 |
| 5.54223 | 3.115622 |
| 5.57176 | 3.115467 |
| 5.60144 | 3.115311 |
| 5.63129 | 3.115154 |
| 5.66129 | 3.114995 |
| 5.69146 | 3.114836 |
| 5.72178 | 3.114676 |
| 5.75227 | 3.114514 |
| 5.78292 | 3.114352 |
| 5.81373 | 3.114188 |
| 5.8447 | 3.114023 |
| 5.87585 | 3.113857 |
| 5.90715 | 3.11369 |
| 5.93863 | 3.113521 |
| 5.97027 | 3.113352 |
| 6.00208 | 3.113181 |
| 6.03406 | 3.113008 |
| 6.06621 | 3.112835 |
| 6.09853 | 3.11266 |
| 6.13102 | 3.112484 |
| 6.16369 | 3.112306 |
| 6.19653 | 3.112127 |
| 6.22955 | 3.111946 |
| 6.26274 | 3.111764 |
| 6.2961 | 3.111581 |
| 6.32965 | 3.111396 |
| 6.36338 | 3.111209 |
| 6.39728 | 3.111021 |
| 6.43137 | 3.110831 |
| 6.46563 | 3.11064 |
| 6.50008 | 3.110447 |
| 6.53472 | 3.110252 |
| 6.56953 | 3.110055 |
| 6.60454 | 3.109857 |
| 6.63973 | 3.109657 |
| 6.6751 | 3.109456 |
| 6.71067 | 3.109252 |
| 6.74642 | 3.109047 |
| 6.78237 | 3.108839 |
| 6.81851 | 3.10863 |
| 6.85484 | 3.108419 |
| 6.89136 | 3.108206 |
| 6.92808 | 3.10799 |
| 6.96499 | 3.107773 |
| 7.0021 | 3.107554 |
| 7.03941 | 3.107332 |
| 7.07691 | 3.107109 |
| 7.11462 | 3.106883 |
| 7.15253 | 3.106655 |
| 7.19064 | 3.106425 |
| 7.22895 | 3.106192 |
| 7.26747 | 3.105958 |
| 7.30619 | 3.10572 |
| 7.34512 | 3.105481 |
| 7.38425 | 3.105239 |
| 7.42359 | 3.104994 |
| 7.46315 | 3.104747 |
| 7.50291 | 3.104498 |
| 7.54289 | 3.104245 |
| 7.58308 | 3.103991 |
| 7.62348 | 3.103733 |
| 7.6641 | 3.103473 |
| 7.70494 | 3.10321 |
| 7.74599 | 3.102944 |
| 7.78726 | 3.102676 |
| 7.82875 | 3.102404 |
| 7.87046 | 3.10213 |
| 7.9124 | 3.101853 |
| 7.95455 | 3.101572 |
| 7.99694 | 3.101289 |
| 8.03955 | 3.101002 |
| 8.08238 | 3.100712 |
| 8.12544 | 3.10042 |
| 8.16874 | 3.100123 |
| 8.21226 | 3.099824 |
| 8.25602 | 3.099521 |
| 8.30001 | 3.099215 |
| 8.34423 | 3.098905 |
| 8.38869 | 3.098591 |
| 8.43338 | 3.098275 |
| 8.47832 | 3.097954 |
| 8.52349 | 3.09763 |
| 8.5689 | 3.097302 |
| 8.61456 | 3.09697 |
| 8.66046 | 3.096634 |
| 8.7066 | 3.096295 |
| 8.75299 | 3.095951 |
| 8.79963 | 3.095603 |
| 8.84651 | 3.095252 |
| 8.89365 | 3.094896 |
| 8.94104 | 3.094536 |
| 8.98867 | 3.094171 |
| 9.03657 | 3.093802 |
| 9.08471 | 3.093429 |
| 9.13312 | 3.093051 |
| 9.18178 | 3.092668 |
| 9.2307 | 3.092281 |
| 9.27988 | 3.091889 |
| 9.32933 | 3.091493 |
| 9.37904 | 3.091091 |
| 9.42901 | 3.090685 |
| 9.47925 | 3.090273 |
| 9.52975 | 3.089856 |
| 9.58053 | 3.089434 |
| 9.63157 | 3.089007 |
| 9.68289 | 3.088574 |
| 9.73448 | 3.088136 |
| 9.78635 | 3.087692 |
| 9.83849 | 3.087243 |
| 9.89091 | 3.086788 |
| 9.94361 | 3.086327 |
| 9.99659 | 3.08586 |
| 10.0499 | 3.085387 |
| 10.1034 | 3.084907 |
| 10.1572 | 3.084422 |
| 10.2114 | 3.08393 |
| 10.2658 | 3.083432 |
| 10.3205 | 3.082927 |
| 10.3754 | 3.082416 |
| 10.4307 | 3.081897 |
| 10.4863 | 3.081372 |
| 10.5422 | 3.08084 |
| 10.5983 | 3.080301 |
| 10.6548 | 3.079754 |
| 10.7116 | 3.0792 |
| 10.7687 | 3.078639 |
| 10.826 | 3.078069 |
| 10.8837 | 3.077492 |
| 10.9417 | 3.076908 |
| 11 | 3.076315 |
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
- —
Ordinary ray (o)