Optical constants
Refractive index of CdGeAs2 (Cadmium germanium arsenide)
Boyd et al. 1972: n(o) 2.4–11.5 µm
- Data
- formula 2
- Range
- 2.4–11.5 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
- 3.53076
- Extinction coefficient k
- 0
- Permittivity ε1
- 12.4662
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00713829 µm⁻¹
- Group index ng
- 3.56823
- Group velocity dispersion
- 718.124 fs²/mm
- Dispersion parameter D
- -49.0774 ps/(nm·km)
- Photon energy
- 0.23616 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
# CdGeAs2 (Cadmium germanium arsenide): Boyd et al. 1972: n(o) 2.4–11.5 µm
cdgeas2 = ls.fetch_refractiveindex("main", "CdGeAs2", "Boyd-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgeas2.range_nm) # (2400, 11500) nm
eps = cdgeas2.eps([5250]) # 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_15e28b05201a/lightsmith"
cdgeas2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(cdgeas2.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (cdgeas2/boyd-1972-o).
# ... load cdgeas2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=cdgeas2)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=2400, stop_nm=11500, 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_15e28b05201a/lightsmith?model=drude_lorentz"
cdgeas2_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 2.4 to 11.5 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 9.1064 |
| C2 | 2.2988 |
| C3 | 1.0872 |
| C4 | 1.6247 |
| C5 | 1370.0 |
Comments and conditions
Conditions
- direction
- o
References
1) G. D. Boyd, E. Buehler, F. G Storz, J. H. Wernick.
Linear and nonlinear optical properties of ternary AIIBIVC2V chalcopyrite semiconductors.
IEEE J. Quantum Electron., 8, 419-426 (1972)
2) G. C. Bhar. Refractive index interpolation in phase-matching. Appl. Opt. 15, 305-307 (1976)
* Ref. 2 provides a dispersion formula based on data from Ref. 1
2) G. C. Bhar. Refractive index interpolation in phase-matching. Appl. Opt. 15, 305-307 (1976)
* Ref. 2 provides a dispersion formula based on data from Ref. 1
- doi:10.1109/jqe.1972.1076982 Linear and nonlinear optical properties of ternary A<sup>II</sup>B<sup>IV</sup>C<inf>2</inf><sup>V</sup>chalcopyrite semiconductors, IEEE Journal of Quantum Electronics (1972)
- doi:10.1364/ao.15.0305_1 Refractive index interpolation in phase-matching, Applied Optics (1976)
Cite
G. Boyd, E. Buehler, F. Storz and J. Wernick. Linear and nonlinear optical properties of ternary A<sup>II</sup>B<sup>IV</sup>C<inf>2</inf><sup>V</sup>chalcopyrite semiconductors. IEEE Journal of Quantum Electronics, 8, 419-426 (1972), doi:10.1109/jqe.1972.1076982; Gopal C. Bhar. Refractive index interpolation in phase-matching. Applied Optics, 15, 305_1 (1976), doi:10.1364/ao.15.0305_1; 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 |
|---|---|
| 2.4 | 3.596275 |
| 2.40944 | 3.595551 |
| 2.41892 | 3.594836 |
| 2.42844 | 3.594128 |
| 2.438 | 3.593428 |
| 2.44759 | 3.592736 |
| 2.45722 | 3.592051 |
| 2.46689 | 3.591374 |
| 2.4766 | 3.590704 |
| 2.48634 | 3.590041 |
| 2.49612 | 3.589386 |
| 2.50594 | 3.588737 |
| 2.51581 | 3.588095 |
| 2.5257 | 3.58746 |
| 2.53564 | 3.586832 |
| 2.54562 | 3.586211 |
| 2.55564 | 3.585596 |
| 2.56569 | 3.584987 |
| 2.57579 | 3.584385 |
| 2.58592 | 3.583789 |
| 2.5961 | 3.583199 |
| 2.60631 | 3.582616 |
| 2.61657 | 3.582038 |
| 2.62686 | 3.581467 |
| 2.6372 | 3.580901 |
| 2.64757 | 3.580341 |
| 2.65799 | 3.579787 |
| 2.66845 | 3.579238 |
| 2.67895 | 3.578695 |
| 2.68949 | 3.578158 |
| 2.70007 | 3.577626 |
| 2.7107 | 3.577099 |
| 2.72136 | 3.576578 |
| 2.73207 | 3.576061 |
| 2.74282 | 3.57555 |
| 2.75361 | 3.575045 |
| 2.76445 | 3.574544 |
| 2.77533 | 3.574048 |
| 2.78625 | 3.573557 |
| 2.79721 | 3.57307 |
| 2.80822 | 3.572589 |
| 2.81927 | 3.572112 |
| 2.83036 | 3.57164 |
| 2.84149 | 3.571173 |
| 2.85268 | 3.57071 |
| 2.8639 | 3.570251 |
| 2.87517 | 3.569797 |
| 2.88648 | 3.569348 |
| 2.89784 | 3.568902 |
| 2.90924 | 3.568461 |
| 2.92069 | 3.568024 |
| 2.93218 | 3.567591 |
| 2.94372 | 3.567163 |
| 2.9553 | 3.566738 |
| 2.96693 | 3.566318 |
| 2.9786 | 3.565901 |
| 2.99032 | 3.565488 |
| 3.00209 | 3.565079 |
| 3.0139 | 3.564674 |
| 3.02576 | 3.564273 |
| 3.03767 | 3.563875 |
| 3.04962 | 3.563482 |
| 3.06162 | 3.563091 |
| 3.07366 | 3.562705 |
| 3.08576 | 3.562322 |
| 3.0979 | 3.561942 |
| 3.11009 | 3.561566 |
| 3.12233 | 3.561193 |
| 3.13461 | 3.560824 |
| 3.14695 | 3.560458 |
| 3.15933 | 3.560095 |
| 3.17176 | 3.559735 |
| 3.18424 | 3.559379 |
| 3.19677 | 3.559026 |
| 3.20935 | 3.558676 |
| 3.22198 | 3.558329 |
| 3.23465 | 3.557986 |
| 3.24738 | 3.557645 |
| 3.26016 | 3.557307 |
| 3.27299 | 3.556972 |
| 3.28586 | 3.556641 |
| 3.29879 | 3.556312 |
| 3.31177 | 3.555985 |
| 3.3248 | 3.555662 |
| 3.33789 | 3.555342 |
| 3.35102 | 3.555024 |
| 3.36421 | 3.554709 |
| 3.37744 | 3.554397 |
| 3.39073 | 3.554087 |
| 3.40407 | 3.55378 |
| 3.41747 | 3.553476 |
| 3.43091 | 3.553174 |
| 3.44441 | 3.552875 |
| 3.45797 | 3.552578 |
| 3.47157 | 3.552284 |
| 3.48523 | 3.551992 |
| 3.49895 | 3.551702 |
| 3.51271 | 3.551415 |
| 3.52654 | 3.551131 |
| 3.54041 | 3.550848 |
| 3.55434 | 3.550568 |
| 3.56833 | 3.550291 |
| 3.58237 | 3.550015 |
| 3.59646 | 3.549742 |
| 3.61062 | 3.549471 |
| 3.62482 | 3.549202 |
| 3.63908 | 3.548936 |
| 3.6534 | 3.548671 |
| 3.66778 | 3.548409 |
| 3.68221 | 3.548148 |
| 3.6967 | 3.54789 |
| 3.71124 | 3.547634 |
| 3.72585 | 3.54738 |
| 3.74051 | 3.547128 |
| 3.75523 | 3.546877 |
| 3.77 | 3.546629 |
| 3.78483 | 3.546383 |
| 3.79973 | 3.546138 |
| 3.81468 | 3.545895 |
| 3.82969 | 3.545655 |
| 3.84476 | 3.545416 |
| 3.85988 | 3.545179 |
| 3.87507 | 3.544943 |
| 3.89032 | 3.54471 |
| 3.90563 | 3.544478 |
| 3.92099 | 3.544248 |
| 3.93642 | 3.544019 |
| 3.95191 | 3.543793 |
| 3.96746 | 3.543568 |
| 3.98307 | 3.543344 |
| 3.99874 | 3.543123 |
| 4.01448 | 3.542902 |
| 4.03027 | 3.542684 |
| 4.04613 | 3.542467 |
| 4.06205 | 3.542251 |
| 4.07804 | 3.542038 |
| 4.09408 | 3.541825 |
| 4.11019 | 3.541614 |
| 4.12636 | 3.541405 |
| 4.1426 | 3.541197 |
| 4.1589 | 3.54099 |
| 4.17526 | 3.540785 |
| 4.19169 | 3.540582 |
| 4.20819 | 3.540379 |
| 4.22474 | 3.540178 |
| 4.24137 | 3.539979 |
| 4.25806 | 3.539781 |
| 4.27481 | 3.539584 |
| 4.29163 | 3.539388 |
| 4.30852 | 3.539194 |
| 4.32547 | 3.539001 |
| 4.34249 | 3.538809 |
| 4.35958 | 3.538619 |
| 4.37673 | 3.538429 |
| 4.39395 | 3.538241 |
| 4.41124 | 3.538054 |
| 4.4286 | 3.537869 |
| 4.44602 | 3.537684 |
| 4.46352 | 3.537501 |
| 4.48108 | 3.537318 |
| 4.49871 | 3.537137 |
| 4.51641 | 3.536957 |
| 4.53418 | 3.536778 |
| 4.55202 | 3.536601 |
| 4.56993 | 3.536424 |
| 4.58792 | 3.536248 |
| 4.60597 | 3.536073 |
| 4.62409 | 3.5359 |
| 4.64229 | 3.535727 |
| 4.66055 | 3.535555 |
| 4.67889 | 3.535385 |
| 4.6973 | 3.535215 |
| 4.71578 | 3.535046 |
| 4.73434 | 3.534878 |
| 4.75297 | 3.534712 |
| 4.77167 | 3.534546 |
| 4.79044 | 3.534381 |
| 4.80929 | 3.534216 |
| 4.82822 | 3.534053 |
| 4.84721 | 3.533891 |
| 4.86629 | 3.533729 |
| 4.88543 | 3.533568 |
| 4.90466 | 3.533408 |
| 4.92396 | 3.533249 |
| 4.94333 | 3.533091 |
| 4.96278 | 3.532933 |
| 4.98231 | 3.532777 |
| 5.00191 | 3.532621 |
| 5.02159 | 3.532466 |
| 5.04135 | 3.532311 |
| 5.06119 | 3.532157 |
| 5.0811 | 3.532004 |
| 5.1011 | 3.531852 |
| 5.12117 | 3.5317 |
| 5.14132 | 3.531549 |
| 5.16155 | 3.531399 |
| 5.18186 | 3.53125 |
| 5.20225 | 3.531101 |
| 5.22271 | 3.530952 |
| 5.24326 | 3.530805 |
| 5.2639 | 3.530658 |
| 5.28461 | 3.530511 |
| 5.3054 | 3.530365 |
| 5.32628 | 3.53022 |
| 5.34723 | 3.530075 |
| 5.36827 | 3.529931 |
| 5.3894 | 3.529788 |
| 5.4106 | 3.529645 |
| 5.43189 | 3.529502 |
| 5.45327 | 3.52936 |
| 5.47472 | 3.529219 |
| 5.49626 | 3.529078 |
| 5.51789 | 3.528937 |
| 5.5396 | 3.528797 |
| 5.5614 | 3.528657 |
| 5.58328 | 3.528518 |
| 5.60525 | 3.52838 |
| 5.6273 | 3.528241 |
| 5.64945 | 3.528104 |
| 5.67168 | 3.527966 |
| 5.69399 | 3.527829 |
| 5.7164 | 3.527693 |
| 5.73889 | 3.527557 |
| 5.76147 | 3.527421 |
| 5.78414 | 3.527285 |
| 5.8069 | 3.52715 |
| 5.82975 | 3.527016 |
| 5.85269 | 3.526881 |
| 5.87572 | 3.526747 |
| 5.89883 | 3.526613 |
| 5.92204 | 3.52648 |
| 5.94535 | 3.526347 |
| 5.96874 | 3.526214 |
| 5.99223 | 3.526081 |
| 6.0158 | 3.525949 |
| 6.03947 | 3.525817 |
| 6.06324 | 3.525685 |
| 6.08709 | 3.525554 |
| 6.11105 | 3.525422 |
| 6.13509 | 3.525291 |
| 6.15923 | 3.52516 |
| 6.18347 | 3.525029 |
| 6.2078 | 3.524899 |
| 6.23222 | 3.524769 |
| 6.25674 | 3.524638 |
| 6.28136 | 3.524509 |
| 6.30608 | 3.524379 |
| 6.33089 | 3.524249 |
| 6.3558 | 3.524119 |
| 6.38081 | 3.52399 |
| 6.40592 | 3.523861 |
| 6.43112 | 3.523732 |
| 6.45643 | 3.523602 |
| 6.48183 | 3.523473 |
| 6.50734 | 3.523344 |
| 6.53294 | 3.523216 |
| 6.55865 | 3.523087 |
| 6.58445 | 3.522958 |
| 6.61036 | 3.522829 |
| 6.63637 | 3.522701 |
| 6.66248 | 3.522572 |
| 6.6887 | 3.522443 |
| 6.71502 | 3.522315 |
| 6.74144 | 3.522186 |
| 6.76796 | 3.522057 |
| 6.79459 | 3.521929 |
| 6.82133 | 3.5218 |
| 6.84817 | 3.521671 |
| 6.87511 | 3.521543 |
| 6.90217 | 3.521414 |
| 6.92932 | 3.521285 |
| 6.95659 | 3.521156 |
| 6.98396 | 3.521027 |
| 7.01144 | 3.520897 |
| 7.03903 | 3.520768 |
| 7.06673 | 3.520639 |
| 7.09453 | 3.520509 |
| 7.12245 | 3.520379 |
| 7.15047 | 3.52025 |
| 7.17861 | 3.52012 |
| 7.20685 | 3.51999 |
| 7.23521 | 3.519859 |
| 7.26368 | 3.519729 |
| 7.29226 | 3.519598 |
| 7.32095 | 3.519467 |
| 7.34976 | 3.519336 |
| 7.37868 | 3.519205 |
| 7.40771 | 3.519073 |
| 7.43686 | 3.518941 |
| 7.46612 | 3.518809 |
| 7.4955 | 3.518677 |
| 7.52499 | 3.518544 |
| 7.5546 | 3.518411 |
| 7.58433 | 3.518278 |
| 7.61417 | 3.518144 |
| 7.64413 | 3.518011 |
| 7.6742 | 3.517877 |
| 7.7044 | 3.517742 |
| 7.73472 | 3.517607 |
| 7.76515 | 3.517472 |
| 7.7957 | 3.517337 |
| 7.82638 | 3.517201 |
| 7.85717 | 3.517064 |
| 7.88809 | 3.516928 |
| 7.91913 | 3.516791 |
| 7.95029 | 3.516653 |
| 7.98157 | 3.516515 |
| 8.01297 | 3.516377 |
| 8.0445 | 3.516238 |
| 8.07615 | 3.516099 |
| 8.10793 | 3.515959 |
| 8.13983 | 3.515819 |
| 8.17186 | 3.515678 |
| 8.20402 | 3.515537 |
| 8.2363 | 3.515395 |
| 8.26871 | 3.515253 |
| 8.30124 | 3.51511 |
| 8.3339 | 3.514967 |
| 8.3667 | 3.514823 |
| 8.39962 | 3.514678 |
| 8.43267 | 3.514533 |
| 8.46585 | 3.514388 |
| 8.49916 | 3.514242 |
| 8.5326 | 3.514095 |
| 8.56617 | 3.513947 |
| 8.59988 | 3.513799 |
| 8.63372 | 3.51365 |
| 8.66769 | 3.513501 |
| 8.70179 | 3.513351 |
| 8.73603 | 3.5132 |
| 8.77041 | 3.513049 |
| 8.80492 | 3.512896 |
| 8.83956 | 3.512744 |
| 8.87434 | 3.51259 |
| 8.90926 | 3.512435 |
| 8.94432 | 3.51228 |
| 8.97951 | 3.512124 |
| 9.01484 | 3.511968 |
| 9.05031 | 3.51181 |
| 9.08592 | 3.511652 |
| 9.12167 | 3.511493 |
| 9.15756 | 3.511333 |
| 9.1936 | 3.511172 |
| 9.22977 | 3.51101 |
| 9.26609 | 3.510848 |
| 9.30255 | 3.510684 |
| 9.33915 | 3.51052 |
| 9.3759 | 3.510354 |
| 9.41279 | 3.510188 |
| 9.44983 | 3.510021 |
| 9.48701 | 3.509853 |
| 9.52434 | 3.509684 |
| 9.56181 | 3.509514 |
| 9.59944 | 3.509342 |
| 9.63721 | 3.50917 |
| 9.67513 | 3.508997 |
| 9.7132 | 3.508823 |
| 9.75142 | 3.508648 |
| 9.78978 | 3.508471 |
| 9.82831 | 3.508294 |
| 9.86698 | 3.508115 |
| 9.9058 | 3.507935 |
| 9.94478 | 3.507754 |
| 9.98391 | 3.507572 |
| 10.0232 | 3.507389 |
| 10.0626 | 3.507205 |
| 10.1022 | 3.507019 |
| 10.142 | 3.506832 |
| 10.1819 | 3.506644 |
| 10.2219 | 3.506455 |
| 10.2622 | 3.506264 |
| 10.3025 | 3.506072 |
| 10.3431 | 3.505879 |
| 10.3838 | 3.505684 |
| 10.4246 | 3.505489 |
| 10.4657 | 3.505291 |
| 10.5068 | 3.505093 |
| 10.5482 | 3.504892 |
| 10.5897 | 3.504691 |
| 10.6313 | 3.504488 |
| 10.6732 | 3.504284 |
| 10.7152 | 3.504078 |
| 10.7573 | 3.50387 |
| 10.7997 | 3.503661 |
| 10.8422 | 3.503451 |
| 10.8848 | 3.503239 |
| 10.9276 | 3.503025 |
| 10.9706 | 3.50281 |
| 11.0138 | 3.502593 |
| 11.0571 | 3.502375 |
| 11.1007 | 3.502155 |
| 11.1443 | 3.501933 |
| 11.1882 | 3.501709 |
| 11.2322 | 3.501484 |
| 11.2764 | 3.501257 |
| 11.3208 | 3.501028 |
| 11.3653 | 3.500797 |
| 11.41 | 3.500565 |
| 11.4549 | 3.50033 |
| 11.5 | 3.500094 |
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)