Optical constants
Refractive index of CdGeAs2 (Cadmium germanium arsenide)
Boyd et al. 1972: n(e) 2.4–11.5 µm
- Data
- formula 2
- Range
- 2.4–11.5 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
- 3.62133
- Extinction coefficient k
- 0
- Permittivity ε1
- 13.1141
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00954999 µm⁻¹
- Group index ng
- 3.67147
- Group velocity dispersion
- 1183.07 fs²/mm
- Dispersion parameter D
- -80.8525 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(e) 2.4–11.5 µm
cdgeas2 = ls.fetch_refractiveindex("main", "CdGeAs2", "Boyd-e", 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_a9ceb55b73c4/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-e).
# ... 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_a9ceb55b73c4/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 | 10.8018 |
| C2 | 1.2152 |
| C3 | 2.6971 |
| C4 | 1.6922 |
| C5 | 1370.0 |
Comments and conditions
Conditions
- direction
- e
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 | 3.752323 |
| 2.40944 | 3.750231 |
| 2.41892 | 3.748183 |
| 2.42844 | 3.746176 |
| 2.438 | 3.74421 |
| 2.44759 | 3.742283 |
| 2.45722 | 3.740395 |
| 2.46689 | 3.738544 |
| 2.4766 | 3.736729 |
| 2.48634 | 3.73495 |
| 2.49612 | 3.733204 |
| 2.50594 | 3.731492 |
| 2.51581 | 3.729813 |
| 2.5257 | 3.728164 |
| 2.53564 | 3.726547 |
| 2.54562 | 3.724959 |
| 2.55564 | 3.7234 |
| 2.56569 | 3.72187 |
| 2.57579 | 3.720367 |
| 2.58592 | 3.718892 |
| 2.5961 | 3.717442 |
| 2.60631 | 3.716018 |
| 2.61657 | 3.714619 |
| 2.62686 | 3.713244 |
| 2.6372 | 3.711893 |
| 2.64757 | 3.710565 |
| 2.65799 | 3.709259 |
| 2.66845 | 3.707976 |
| 2.67895 | 3.706714 |
| 2.68949 | 3.705473 |
| 2.70007 | 3.704253 |
| 2.7107 | 3.703053 |
| 2.72136 | 3.701872 |
| 2.73207 | 3.70071 |
| 2.74282 | 3.699567 |
| 2.75361 | 3.698443 |
| 2.76445 | 3.697336 |
| 2.77533 | 3.696246 |
| 2.78625 | 3.695174 |
| 2.79721 | 3.694118 |
| 2.80822 | 3.693079 |
| 2.81927 | 3.692056 |
| 2.83036 | 3.691048 |
| 2.84149 | 3.690056 |
| 2.85268 | 3.689078 |
| 2.8639 | 3.688116 |
| 2.87517 | 3.687167 |
| 2.88648 | 3.686233 |
| 2.89784 | 3.685313 |
| 2.90924 | 3.684406 |
| 2.92069 | 3.683512 |
| 2.93218 | 3.682631 |
| 2.94372 | 3.681763 |
| 2.9553 | 3.680907 |
| 2.96693 | 3.680063 |
| 2.9786 | 3.679231 |
| 2.99032 | 3.678411 |
| 3.00209 | 3.677603 |
| 3.0139 | 3.676806 |
| 3.02576 | 3.676019 |
| 3.03767 | 3.675244 |
| 3.04962 | 3.674479 |
| 3.06162 | 3.673725 |
| 3.07366 | 3.67298 |
| 3.08576 | 3.672246 |
| 3.0979 | 3.671522 |
| 3.11009 | 3.670807 |
| 3.12233 | 3.670102 |
| 3.13461 | 3.669406 |
| 3.14695 | 3.668719 |
| 3.15933 | 3.668041 |
| 3.17176 | 3.667372 |
| 3.18424 | 3.666712 |
| 3.19677 | 3.66606 |
| 3.20935 | 3.665416 |
| 3.22198 | 3.66478 |
| 3.23465 | 3.664153 |
| 3.24738 | 3.663533 |
| 3.26016 | 3.662922 |
| 3.27299 | 3.662317 |
| 3.28586 | 3.661721 |
| 3.29879 | 3.661131 |
| 3.31177 | 3.660549 |
| 3.3248 | 3.659974 |
| 3.33789 | 3.659406 |
| 3.35102 | 3.658845 |
| 3.36421 | 3.658291 |
| 3.37744 | 3.657743 |
| 3.39073 | 3.657202 |
| 3.40407 | 3.656667 |
| 3.41747 | 3.656139 |
| 3.43091 | 3.655616 |
| 3.44441 | 3.6551 |
| 3.45797 | 3.65459 |
| 3.47157 | 3.654086 |
| 3.48523 | 3.653587 |
| 3.49895 | 3.653094 |
| 3.51271 | 3.652607 |
| 3.52654 | 3.652126 |
| 3.54041 | 3.651649 |
| 3.55434 | 3.651179 |
| 3.56833 | 3.650713 |
| 3.58237 | 3.650253 |
| 3.59646 | 3.649797 |
| 3.61062 | 3.649347 |
| 3.62482 | 3.648902 |
| 3.63908 | 3.648461 |
| 3.6534 | 3.648026 |
| 3.66778 | 3.647595 |
| 3.68221 | 3.647169 |
| 3.6967 | 3.646747 |
| 3.71124 | 3.64633 |
| 3.72585 | 3.645917 |
| 3.74051 | 3.645508 |
| 3.75523 | 3.645104 |
| 3.77 | 3.644704 |
| 3.78483 | 3.644309 |
| 3.79973 | 3.643917 |
| 3.81468 | 3.64353 |
| 3.82969 | 3.643146 |
| 3.84476 | 3.642766 |
| 3.85988 | 3.64239 |
| 3.87507 | 3.642018 |
| 3.89032 | 3.64165 |
| 3.90563 | 3.641286 |
| 3.92099 | 3.640925 |
| 3.93642 | 3.640567 |
| 3.95191 | 3.640214 |
| 3.96746 | 3.639863 |
| 3.98307 | 3.639516 |
| 3.99874 | 3.639173 |
| 4.01448 | 3.638833 |
| 4.03027 | 3.638496 |
| 4.04613 | 3.638162 |
| 4.06205 | 3.637831 |
| 4.07804 | 3.637504 |
| 4.09408 | 3.63718 |
| 4.11019 | 3.636858 |
| 4.12636 | 3.63654 |
| 4.1426 | 3.636225 |
| 4.1589 | 3.635913 |
| 4.17526 | 3.635603 |
| 4.19169 | 3.635296 |
| 4.20819 | 3.634992 |
| 4.22474 | 3.634691 |
| 4.24137 | 3.634393 |
| 4.25806 | 3.634097 |
| 4.27481 | 3.633804 |
| 4.29163 | 3.633514 |
| 4.30852 | 3.633226 |
| 4.32547 | 3.63294 |
| 4.34249 | 3.632657 |
| 4.35958 | 3.632377 |
| 4.37673 | 3.632099 |
| 4.39395 | 3.631823 |
| 4.41124 | 3.631549 |
| 4.4286 | 3.631278 |
| 4.44602 | 3.63101 |
| 4.46352 | 3.630743 |
| 4.48108 | 3.630479 |
| 4.49871 | 3.630217 |
| 4.51641 | 3.629957 |
| 4.53418 | 3.629699 |
| 4.55202 | 3.629443 |
| 4.56993 | 3.629189 |
| 4.58792 | 3.628938 |
| 4.60597 | 3.628688 |
| 4.62409 | 3.62844 |
| 4.64229 | 3.628194 |
| 4.66055 | 3.627951 |
| 4.67889 | 3.627709 |
| 4.6973 | 3.627468 |
| 4.71578 | 3.62723 |
| 4.73434 | 3.626994 |
| 4.75297 | 3.626759 |
| 4.77167 | 3.626526 |
| 4.79044 | 3.626295 |
| 4.80929 | 3.626065 |
| 4.82822 | 3.625838 |
| 4.84721 | 3.625611 |
| 4.86629 | 3.625387 |
| 4.88543 | 3.625164 |
| 4.90466 | 3.624942 |
| 4.92396 | 3.624723 |
| 4.94333 | 3.624504 |
| 4.96278 | 3.624288 |
| 4.98231 | 3.624072 |
| 5.00191 | 3.623859 |
| 5.02159 | 3.623646 |
| 5.04135 | 3.623435 |
| 5.06119 | 3.623226 |
| 5.0811 | 3.623018 |
| 5.1011 | 3.622811 |
| 5.12117 | 3.622605 |
| 5.14132 | 3.622401 |
| 5.16155 | 3.622198 |
| 5.18186 | 3.621997 |
| 5.20225 | 3.621796 |
| 5.22271 | 3.621597 |
| 5.24326 | 3.621399 |
| 5.2639 | 3.621203 |
| 5.28461 | 3.621007 |
| 5.3054 | 3.620813 |
| 5.32628 | 3.62062 |
| 5.34723 | 3.620427 |
| 5.36827 | 3.620236 |
| 5.3894 | 3.620047 |
| 5.4106 | 3.619858 |
| 5.43189 | 3.61967 |
| 5.45327 | 3.619483 |
| 5.47472 | 3.619297 |
| 5.49626 | 3.619113 |
| 5.51789 | 3.618929 |
| 5.5396 | 3.618746 |
| 5.5614 | 3.618564 |
| 5.58328 | 3.618383 |
| 5.60525 | 3.618203 |
| 5.6273 | 3.618024 |
| 5.64945 | 3.617846 |
| 5.67168 | 3.617668 |
| 5.69399 | 3.617492 |
| 5.7164 | 3.617316 |
| 5.73889 | 3.617141 |
| 5.76147 | 3.616967 |
| 5.78414 | 3.616793 |
| 5.8069 | 3.616621 |
| 5.82975 | 3.616449 |
| 5.85269 | 3.616278 |
| 5.87572 | 3.616108 |
| 5.89883 | 3.615938 |
| 5.92204 | 3.615769 |
| 5.94535 | 3.6156 |
| 5.96874 | 3.615433 |
| 5.99223 | 3.615266 |
| 6.0158 | 3.615099 |
| 6.03947 | 3.614934 |
| 6.06324 | 3.614768 |
| 6.08709 | 3.614604 |
| 6.11105 | 3.61444 |
| 6.13509 | 3.614276 |
| 6.15923 | 3.614113 |
| 6.18347 | 3.613951 |
| 6.2078 | 3.613789 |
| 6.23222 | 3.613628 |
| 6.25674 | 3.613467 |
| 6.28136 | 3.613306 |
| 6.30608 | 3.613147 |
| 6.33089 | 3.612987 |
| 6.3558 | 3.612828 |
| 6.38081 | 3.612669 |
| 6.40592 | 3.612511 |
| 6.43112 | 3.612353 |
| 6.45643 | 3.612196 |
| 6.48183 | 3.612039 |
| 6.50734 | 3.611882 |
| 6.53294 | 3.611726 |
| 6.55865 | 3.61157 |
| 6.58445 | 3.611414 |
| 6.61036 | 3.611259 |
| 6.63637 | 3.611103 |
| 6.66248 | 3.610949 |
| 6.6887 | 3.610794 |
| 6.71502 | 3.61064 |
| 6.74144 | 3.610486 |
| 6.76796 | 3.610332 |
| 6.79459 | 3.610178 |
| 6.82133 | 3.610025 |
| 6.84817 | 3.609871 |
| 6.87511 | 3.609718 |
| 6.90217 | 3.609565 |
| 6.92932 | 3.609413 |
| 6.95659 | 3.60926 |
| 6.98396 | 3.609108 |
| 7.01144 | 3.608955 |
| 7.03903 | 3.608803 |
| 7.06673 | 3.608651 |
| 7.09453 | 3.608499 |
| 7.12245 | 3.608347 |
| 7.15047 | 3.608195 |
| 7.17861 | 3.608043 |
| 7.20685 | 3.607891 |
| 7.23521 | 3.607739 |
| 7.26368 | 3.607587 |
| 7.29226 | 3.607436 |
| 7.32095 | 3.607284 |
| 7.34976 | 3.607132 |
| 7.37868 | 3.60698 |
| 7.40771 | 3.606828 |
| 7.43686 | 3.606676 |
| 7.46612 | 3.606524 |
| 7.4955 | 3.606372 |
| 7.52499 | 3.606219 |
| 7.5546 | 3.606067 |
| 7.58433 | 3.605914 |
| 7.61417 | 3.605762 |
| 7.64413 | 3.605609 |
| 7.6742 | 3.605456 |
| 7.7044 | 3.605303 |
| 7.73472 | 3.605149 |
| 7.76515 | 3.604996 |
| 7.7957 | 3.604842 |
| 7.82638 | 3.604688 |
| 7.85717 | 3.604534 |
| 7.88809 | 3.604379 |
| 7.91913 | 3.604224 |
| 7.95029 | 3.604069 |
| 7.98157 | 3.603914 |
| 8.01297 | 3.603759 |
| 8.0445 | 3.603603 |
| 8.07615 | 3.603446 |
| 8.10793 | 3.60329 |
| 8.13983 | 3.603133 |
| 8.17186 | 3.602976 |
| 8.20402 | 3.602818 |
| 8.2363 | 3.60266 |
| 8.26871 | 3.602502 |
| 8.30124 | 3.602343 |
| 8.3339 | 3.602184 |
| 8.3667 | 3.602024 |
| 8.39962 | 3.601864 |
| 8.43267 | 3.601703 |
| 8.46585 | 3.601542 |
| 8.49916 | 3.601381 |
| 8.5326 | 3.601218 |
| 8.56617 | 3.601056 |
| 8.59988 | 3.600893 |
| 8.63372 | 3.600729 |
| 8.66769 | 3.600565 |
| 8.70179 | 3.6004 |
| 8.73603 | 3.600235 |
| 8.77041 | 3.600069 |
| 8.80492 | 3.599902 |
| 8.83956 | 3.599735 |
| 8.87434 | 3.599567 |
| 8.90926 | 3.599399 |
| 8.94432 | 3.59923 |
| 8.97951 | 3.59906 |
| 9.01484 | 3.598889 |
| 9.05031 | 3.598718 |
| 9.08592 | 3.598546 |
| 9.12167 | 3.598374 |
| 9.15756 | 3.5982 |
| 9.1936 | 3.598026 |
| 9.22977 | 3.597851 |
| 9.26609 | 3.597675 |
| 9.30255 | 3.597499 |
| 9.33915 | 3.597321 |
| 9.3759 | 3.597143 |
| 9.41279 | 3.596964 |
| 9.44983 | 3.596784 |
| 9.48701 | 3.596603 |
| 9.52434 | 3.596421 |
| 9.56181 | 3.596239 |
| 9.59944 | 3.596055 |
| 9.63721 | 3.59587 |
| 9.67513 | 3.595685 |
| 9.7132 | 3.595498 |
| 9.75142 | 3.595311 |
| 9.78978 | 3.595122 |
| 9.82831 | 3.594933 |
| 9.86698 | 3.594742 |
| 9.9058 | 3.59455 |
| 9.94478 | 3.594358 |
| 9.98391 | 3.594164 |
| 10.0232 | 3.593969 |
| 10.0626 | 3.593773 |
| 10.1022 | 3.593575 |
| 10.142 | 3.593377 |
| 10.1819 | 3.593177 |
| 10.2219 | 3.592977 |
| 10.2622 | 3.592774 |
| 10.3025 | 3.592571 |
| 10.3431 | 3.592367 |
| 10.3838 | 3.592161 |
| 10.4246 | 3.591954 |
| 10.4657 | 3.591745 |
| 10.5068 | 3.591535 |
| 10.5482 | 3.591324 |
| 10.5897 | 3.591112 |
| 10.6313 | 3.590898 |
| 10.6732 | 3.590682 |
| 10.7152 | 3.590466 |
| 10.7573 | 3.590247 |
| 10.7997 | 3.590028 |
| 10.8422 | 3.589806 |
| 10.8848 | 3.589584 |
| 10.9276 | 3.589359 |
| 10.9706 | 3.589133 |
| 11.0138 | 3.588906 |
| 11.0571 | 3.588677 |
| 11.1007 | 3.588446 |
| 11.1443 | 3.588214 |
| 11.1882 | 3.58798 |
| 11.2322 | 3.587744 |
| 11.2764 | 3.587506 |
| 11.3208 | 3.587267 |
| 11.3653 | 3.587026 |
| 11.41 | 3.586783 |
| 11.4549 | 3.586539 |
| 11.5 | 3.586292 |
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)