Optical constants
Refractive index of ZnGeP2 (Zinc germanium phosphide, ZGP)
Ghosh 1998: n(o) 0.7–12 µm; 150 K
- Data
- formula 2
- Range
- 0.7–12 µm
- Temperature
- 150 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
- 3.11239
- Extinction coefficient k
- 0
- Permittivity ε1
- 9.68696
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0112744 µm⁻¹
- Group index ng
- 3.14508
- Group velocity dispersion
- 372.756 fs²/mm
- Dispersion parameter D
- -83.4891 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; 150 K
zngep2 = ls.fetch_refractiveindex("main", "ZnGeP2", "Ghosh-150K-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_307f3fbd634e/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-1998-150k-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_307f3fbd634e/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 | 3.52238331 |
| C2 | 5.10517584 |
| C3 | 0.12953514 |
| C4 | 2.16873708 |
| C5 | 900.0 |
Comments and conditions
Conditions
- temperature
- 150 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 | 3.385403 |
| 0.705003 | 3.380214 |
| 0.710042 | 3.375141 |
| 0.715117 | 3.370182 |
| 0.720228 | 3.365333 |
| 0.725375 | 3.360591 |
| 0.73056 | 3.355952 |
| 0.735781 | 3.351414 |
| 0.74104 | 3.346975 |
| 0.746336 | 3.342631 |
| 0.75167 | 3.338379 |
| 0.757043 | 3.334217 |
| 0.762453 | 3.330144 |
| 0.767903 | 3.326155 |
| 0.773391 | 3.32225 |
| 0.778919 | 3.318426 |
| 0.784486 | 3.31468 |
| 0.790093 | 3.311011 |
| 0.79574 | 3.307417 |
| 0.801427 | 3.303895 |
| 0.807155 | 3.300444 |
| 0.812924 | 3.297063 |
| 0.818734 | 3.293749 |
| 0.824585 | 3.290501 |
| 0.830479 | 3.287317 |
| 0.836414 | 3.284195 |
| 0.842392 | 3.281134 |
| 0.848413 | 3.278133 |
| 0.854477 | 3.27519 |
| 0.860584 | 3.272304 |
| 0.866735 | 3.269473 |
| 0.87293 | 3.266696 |
| 0.879169 | 3.263972 |
| 0.885452 | 3.261299 |
| 0.891781 | 3.258677 |
| 0.898154 | 3.256104 |
| 0.904574 | 3.253579 |
| 0.911039 | 3.251101 |
| 0.91755 | 3.248668 |
| 0.924108 | 3.246281 |
| 0.930713 | 3.243938 |
| 0.937365 | 3.241637 |
| 0.944064 | 3.239379 |
| 0.950812 | 3.237161 |
| 0.957607 | 3.234983 |
| 0.964451 | 3.232845 |
| 0.971345 | 3.230745 |
| 0.978287 | 3.228683 |
| 0.985279 | 3.226658 |
| 0.992321 | 3.224668 |
| 0.999413 | 3.222714 |
| 1.00656 | 3.220794 |
| 1.01375 | 3.218908 |
| 1.021 | 3.217055 |
| 1.02829 | 3.215234 |
| 1.03564 | 3.213445 |
| 1.04304 | 3.211687 |
| 1.0505 | 3.20996 |
| 1.05801 | 3.208262 |
| 1.06557 | 3.206593 |
| 1.07318 | 3.204953 |
| 1.08085 | 3.203341 |
| 1.08858 | 3.201756 |
| 1.09636 | 3.200199 |
| 1.1042 | 3.198667 |
| 1.11209 | 3.197162 |
| 1.12004 | 3.195682 |
| 1.12804 | 3.194226 |
| 1.1361 | 3.192795 |
| 1.14422 | 3.191388 |
| 1.1524 | 3.190005 |
| 1.16064 | 3.188644 |
| 1.16893 | 3.187306 |
| 1.17729 | 3.185989 |
| 1.1857 | 3.184695 |
| 1.19418 | 3.183422 |
| 1.20271 | 3.182169 |
| 1.21131 | 3.180937 |
| 1.21997 | 3.179725 |
| 1.22868 | 3.178533 |
| 1.23747 | 3.17736 |
| 1.24631 | 3.176206 |
| 1.25522 | 3.175071 |
| 1.26419 | 3.173954 |
| 1.27322 | 3.172854 |
| 1.28232 | 3.171773 |
| 1.29149 | 3.170708 |
| 1.30072 | 3.169661 |
| 1.31002 | 3.16863 |
| 1.31938 | 3.167616 |
| 1.32881 | 3.166617 |
| 1.33831 | 3.165634 |
| 1.34787 | 3.164667 |
| 1.35751 | 3.163715 |
| 1.36721 | 3.162778 |
| 1.37698 | 3.161855 |
| 1.38682 | 3.160947 |
| 1.39673 | 3.160053 |
| 1.40672 | 3.159173 |
| 1.41677 | 3.158306 |
| 1.4269 | 3.157453 |
| 1.43709 | 3.156613 |
| 1.44736 | 3.155786 |
| 1.45771 | 3.154971 |
| 1.46813 | 3.154169 |
| 1.47862 | 3.153379 |
| 1.48919 | 3.152601 |
| 1.49983 | 3.151835 |
| 1.51055 | 3.151081 |
| 1.52135 | 3.150338 |
| 1.53222 | 3.149606 |
| 1.54317 | 3.148885 |
| 1.5542 | 3.148175 |
| 1.56531 | 3.147475 |
| 1.5765 | 3.146786 |
| 1.58776 | 3.146108 |
| 1.59911 | 3.145439 |
| 1.61054 | 3.14478 |
| 1.62205 | 3.144131 |
| 1.63365 | 3.143491 |
| 1.64532 | 3.142861 |
| 1.65708 | 3.142241 |
| 1.66892 | 3.141629 |
| 1.68085 | 3.141026 |
| 1.69287 | 3.140432 |
| 1.70497 | 3.139846 |
| 1.71715 | 3.139269 |
| 1.72942 | 3.1387 |
| 1.74178 | 3.13814 |
| 1.75423 | 3.137587 |
| 1.76677 | 3.137043 |
| 1.7794 | 3.136506 |
| 1.79212 | 3.135977 |
| 1.80492 | 3.135455 |
| 1.81782 | 3.134941 |
| 1.83082 | 3.134434 |
| 1.8439 | 3.133934 |
| 1.85708 | 3.133441 |
| 1.87035 | 3.132955 |
| 1.88372 | 3.132475 |
| 1.89719 | 3.132002 |
| 1.91074 | 3.131536 |
| 1.9244 | 3.131077 |
| 1.93816 | 3.130623 |
| 1.95201 | 3.130176 |
| 1.96596 | 3.129735 |
| 1.98001 | 3.129299 |
| 1.99416 | 3.12887 |
| 2.00841 | 3.128446 |
| 2.02277 | 3.128029 |
| 2.03723 | 3.127616 |
| 2.05179 | 3.127209 |
| 2.06645 | 3.126808 |
| 2.08122 | 3.126412 |
| 2.09609 | 3.126021 |
| 2.11108 | 3.125635 |
| 2.12616 | 3.125254 |
| 2.14136 | 3.124878 |
| 2.15666 | 3.124507 |
| 2.17208 | 3.124141 |
| 2.1876 | 3.123779 |
| 2.20324 | 3.123422 |
| 2.21899 | 3.123069 |
| 2.23484 | 3.122721 |
| 2.25082 | 3.122377 |
| 2.2669 | 3.122038 |
| 2.28311 | 3.121702 |
| 2.29942 | 3.121371 |
| 2.31586 | 3.121044 |
| 2.33241 | 3.12072 |
| 2.34908 | 3.120401 |
| 2.36587 | 3.120085 |
| 2.38278 | 3.119773 |
| 2.39981 | 3.119465 |
| 2.41696 | 3.11916 |
| 2.43424 | 3.118859 |
| 2.45163 | 3.118561 |
| 2.46916 | 3.118267 |
| 2.4868 | 3.117976 |
| 2.50458 | 3.117689 |
| 2.52248 | 3.117404 |
| 2.54051 | 3.117123 |
| 2.55866 | 3.116844 |
| 2.57695 | 3.116569 |
| 2.59537 | 3.116297 |
| 2.61392 | 3.116027 |
| 2.6326 | 3.115761 |
| 2.65142 | 3.115497 |
| 2.67037 | 3.115235 |
| 2.68945 | 3.114977 |
| 2.70867 | 3.114721 |
| 2.72803 | 3.114468 |
| 2.74753 | 3.114217 |
| 2.76717 | 3.113968 |
| 2.78695 | 3.113722 |
| 2.80686 | 3.113478 |
| 2.82693 | 3.113237 |
| 2.84713 | 3.112997 |
| 2.86748 | 3.11276 |
| 2.88797 | 3.112525 |
| 2.90861 | 3.112292 |
| 2.9294 | 3.112061 |
| 2.95034 | 3.111832 |
| 2.97143 | 3.111605 |
| 2.99266 | 3.11138 |
| 3.01405 | 3.111156 |
| 3.03559 | 3.110934 |
| 3.05729 | 3.110714 |
| 3.07914 | 3.110496 |
| 3.10115 | 3.110279 |
| 3.12331 | 3.110064 |
| 3.14564 | 3.10985 |
| 3.16812 | 3.109638 |
| 3.19076 | 3.109427 |
| 3.21357 | 3.109218 |
| 3.23653 | 3.10901 |
| 3.25967 | 3.108803 |
| 3.28296 | 3.108597 |
| 3.30643 | 3.108393 |
| 3.33006 | 3.10819 |
| 3.35386 | 3.107988 |
| 3.37783 | 3.107786 |
| 3.40197 | 3.107586 |
| 3.42629 | 3.107387 |
| 3.45078 | 3.107189 |
| 3.47544 | 3.106992 |
| 3.50028 | 3.106796 |
| 3.5253 | 3.1066 |
| 3.55049 | 3.106405 |
| 3.57587 | 3.106211 |
| 3.60142 | 3.106018 |
| 3.62716 | 3.105825 |
| 3.65309 | 3.105633 |
| 3.6792 | 3.105442 |
| 3.70549 | 3.10525 |
| 3.73198 | 3.10506 |
| 3.75865 | 3.10487 |
| 3.78551 | 3.10468 |
| 3.81257 | 3.104491 |
| 3.83982 | 3.104301 |
| 3.86726 | 3.104113 |
| 3.8949 | 3.103924 |
| 3.92274 | 3.103735 |
| 3.95078 | 3.103547 |
| 3.97901 | 3.103359 |
| 4.00745 | 3.103171 |
| 4.03609 | 3.102983 |
| 4.06494 | 3.102795 |
| 4.09399 | 3.102606 |
| 4.12325 | 3.102418 |
| 4.15272 | 3.10223 |
| 4.1824 | 3.102041 |
| 4.2123 | 3.101852 |
| 4.2424 | 3.101663 |
| 4.27272 | 3.101474 |
| 4.30326 | 3.101284 |
| 4.33402 | 3.101094 |
| 4.36499 | 3.100903 |
| 4.39619 | 3.100712 |
| 4.42761 | 3.10052 |
| 4.45926 | 3.100328 |
| 4.49113 | 3.100135 |
| 4.52323 | 3.099942 |
| 4.55556 | 3.099748 |
| 4.58812 | 3.099553 |
| 4.62091 | 3.099357 |
| 4.65393 | 3.099161 |
| 4.6872 | 3.098963 |
| 4.7207 | 3.098765 |
| 4.75444 | 3.098566 |
| 4.78842 | 3.098365 |
| 4.82264 | 3.098164 |
| 4.85711 | 3.097962 |
| 4.89182 | 3.097758 |
| 4.92679 | 3.097553 |
| 4.962 | 3.097347 |
| 4.99746 | 3.09714 |
| 5.03318 | 3.096932 |
| 5.06915 | 3.096722 |
| 5.10538 | 3.09651 |
| 5.14187 | 3.096297 |
| 5.17862 | 3.096083 |
| 5.21564 | 3.095867 |
| 5.25291 | 3.095649 |
| 5.29046 | 3.09543 |
| 5.32827 | 3.095209 |
| 5.36635 | 3.094986 |
| 5.4047 | 3.094761 |
| 5.44333 | 3.094535 |
| 5.48224 | 3.094306 |
| 5.52142 | 3.094076 |
| 5.56088 | 3.093843 |
| 5.60063 | 3.093609 |
| 5.64066 | 3.093372 |
| 5.68097 | 3.093133 |
| 5.72157 | 3.092891 |
| 5.76247 | 3.092648 |
| 5.80365 | 3.092402 |
| 5.84513 | 3.092153 |
| 5.88691 | 3.091902 |
| 5.92898 | 3.091648 |
| 5.97136 | 3.091392 |
| 6.01404 | 3.091133 |
| 6.05702 | 3.090871 |
| 6.10031 | 3.090607 |
| 6.14391 | 3.090339 |
| 6.18782 | 3.090069 |
| 6.23205 | 3.089795 |
| 6.27659 | 3.089518 |
| 6.32145 | 3.089238 |
| 6.36663 | 3.088955 |
| 6.41213 | 3.088669 |
| 6.45796 | 3.088379 |
| 6.50412 | 3.088086 |
| 6.5506 | 3.087789 |
| 6.59742 | 3.087488 |
| 6.64457 | 3.087184 |
| 6.69206 | 3.086876 |
| 6.73989 | 3.086564 |
| 6.78807 | 3.086248 |
| 6.83658 | 3.085928 |
| 6.88544 | 3.085604 |
| 6.93465 | 3.085275 |
| 6.98422 | 3.084943 |
| 7.03414 | 3.084606 |
| 7.08441 | 3.084264 |
| 7.13504 | 3.083918 |
| 7.18604 | 3.083567 |
| 7.2374 | 3.083212 |
| 7.28913 | 3.082851 |
| 7.34122 | 3.082486 |
| 7.39369 | 3.082115 |
| 7.44654 | 3.08174 |
| 7.49976 | 3.081359 |
| 7.55336 | 3.080972 |
| 7.60734 | 3.08058 |
| 7.66172 | 3.080183 |
| 7.71647 | 3.079779 |
| 7.77163 | 3.07937 |
| 7.82717 | 3.078955 |
| 7.88311 | 3.078534 |
| 7.93946 | 3.078106 |
| 7.9962 | 3.077672 |
| 8.05335 | 3.077232 |
| 8.11091 | 3.076784 |
| 8.16888 | 3.076331 |
| 8.22726 | 3.07587 |
| 8.28607 | 3.075402 |
| 8.34529 | 3.074927 |
| 8.40493 | 3.074445 |
| 8.465 | 3.073955 |
| 8.5255 | 3.073457 |
| 8.58644 | 3.072952 |
| 8.64781 | 3.072438 |
| 8.70961 | 3.071917 |
| 8.77186 | 3.071387 |
| 8.83456 | 3.070849 |
| 8.8977 | 3.070302 |
| 8.96129 | 3.069746 |
| 9.02534 | 3.069181 |
| 9.08985 | 3.068607 |
| 9.15481 | 3.068023 |
| 9.22024 | 3.06743 |
| 9.28614 | 3.066827 |
| 9.35251 | 3.066213 |
| 9.41936 | 3.06559 |
| 9.48668 | 3.064956 |
| 9.55448 | 3.064311 |
| 9.62277 | 3.063656 |
| 9.69155 | 3.062989 |
| 9.76081 | 3.062311 |
| 9.83057 | 3.061621 |
| 9.90084 | 3.060919 |
| 9.9716 | 3.060205 |
| 10.0429 | 3.059479 |
| 10.1146 | 3.058739 |
| 10.1869 | 3.057987 |
| 10.2597 | 3.057221 |
| 10.3331 | 3.056442 |
| 10.4069 | 3.055649 |
| 10.4813 | 3.054841 |
| 10.5562 | 3.054019 |
| 10.6317 | 3.053182 |
| 10.7077 | 3.05233 |
| 10.7842 | 3.051462 |
| 10.8613 | 3.050578 |
| 10.9389 | 3.049677 |
| 11.0171 | 3.04876 |
| 11.0958 | 3.047826 |
| 11.1751 | 3.046874 |
| 11.255 | 3.045905 |
| 11.3354 | 3.044916 |
| 11.4164 | 3.043909 |
| 11.498 | 3.042883 |
| 11.5802 | 3.041837 |
| 11.663 | 3.04077 |
| 11.7463 | 3.039683 |
| 11.8303 | 3.038574 |
| 11.9148 | 3.037444 |
| 12 | 3.036291 |
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.