Optical constants
Refractive index of ZnSiAs2 (Zinc silicon arsenide)
Boyd et al. 1972: n(o) 0.7–11.5 µm
- Data
- formula 2
- Range
- 0.7–11.5 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
- 3.22209
- Extinction coefficient k
- 0
- Permittivity ε1
- 10.3818
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0129447 µm⁻¹
- Group index ng
- 3.25885
- Group velocity dispersion
- 480.17 fs²/mm
- Dispersion parameter D
- -112.14 ps/(nm·km)
- Photon energy
- 0.436564 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
# ZnSiAs2 (Zinc silicon arsenide): Boyd et al. 1972: n(o) 0.7–11.5 µm
znsias2 = ls.fetch_refractiveindex("main", "ZnSiAs2", "Boyd-o", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(znsias2.range_nm) # (700, 11500) nm
eps = znsias2.eps([2840]) # 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_aa3ecbd7ae0e/lightsmith"
znsias2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(znsias2.source) # citation and provenance travel with the dataAny dataset here, as the library's Tabulated material (znsias2/boyd-1972-o).
# ... load znsias2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=znsias2)],
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_aa3ecbd7ae0e/lightsmith?model=drude_lorentz"
znsias2_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 11.5 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 3.6006 |
| C2 | 5.6912 |
| C3 | 0.1437 |
| C4 | 1.1316 |
| C5 | 700.0 |
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 |
|---|---|
| 0.7 | 3.557052 |
| 0.704928 | 3.550538 |
| 0.70989 | 3.544176 |
| 0.714888 | 3.537961 |
| 0.71992 | 3.531889 |
| 0.724989 | 3.525956 |
| 0.730092 | 3.520158 |
| 0.735232 | 3.514489 |
| 0.740408 | 3.508948 |
| 0.74562 | 3.503529 |
| 0.750869 | 3.498229 |
| 0.756155 | 3.493046 |
| 0.761478 | 3.487975 |
| 0.766839 | 3.483013 |
| 0.772237 | 3.478158 |
| 0.777673 | 3.473407 |
| 0.783148 | 3.468756 |
| 0.788661 | 3.464203 |
| 0.794213 | 3.459745 |
| 0.799804 | 3.45538 |
| 0.805435 | 3.451105 |
| 0.811105 | 3.446918 |
| 0.816815 | 3.442817 |
| 0.822565 | 3.438799 |
| 0.828356 | 3.434862 |
| 0.834187 | 3.431004 |
| 0.84006 | 3.427224 |
| 0.845973 | 3.423519 |
| 0.851929 | 3.419887 |
| 0.857926 | 3.416326 |
| 0.863966 | 3.412835 |
| 0.870048 | 3.409413 |
| 0.876173 | 3.406056 |
| 0.882341 | 3.402765 |
| 0.888552 | 3.399537 |
| 0.894807 | 3.39637 |
| 0.901107 | 3.393264 |
| 0.90745 | 3.390216 |
| 0.913838 | 3.387226 |
| 0.920272 | 3.384292 |
| 0.92675 | 3.381413 |
| 0.933274 | 3.378588 |
| 0.939844 | 3.375815 |
| 0.946461 | 3.373093 |
| 0.953123 | 3.370421 |
| 0.959833 | 3.367798 |
| 0.96659 | 3.365223 |
| 0.973395 | 3.362695 |
| 0.980247 | 3.360213 |
| 0.987148 | 3.357775 |
| 0.994097 | 3.355381 |
| 1.0011 | 3.35303 |
| 1.00814 | 3.35072 |
| 1.01524 | 3.348452 |
| 1.02239 | 3.346224 |
| 1.02958 | 3.344035 |
| 1.03683 | 3.341885 |
| 1.04413 | 3.339772 |
| 1.05148 | 3.337696 |
| 1.05888 | 3.335657 |
| 1.06634 | 3.333652 |
| 1.07385 | 3.331682 |
| 1.0814 | 3.329747 |
| 1.08902 | 3.327844 |
| 1.09668 | 3.325974 |
| 1.1044 | 3.324136 |
| 1.11218 | 3.322329 |
| 1.12001 | 3.320553 |
| 1.12789 | 3.318807 |
| 1.13583 | 3.31709 |
| 1.14383 | 3.315402 |
| 1.15188 | 3.313743 |
| 1.15999 | 3.312111 |
| 1.16816 | 3.310506 |
| 1.17638 | 3.308928 |
| 1.18466 | 3.307376 |
| 1.193 | 3.30585 |
| 1.2014 | 3.304349 |
| 1.20986 | 3.302873 |
| 1.21837 | 3.301421 |
| 1.22695 | 3.299992 |
| 1.23559 | 3.298587 |
| 1.24429 | 3.297205 |
| 1.25305 | 3.295845 |
| 1.26187 | 3.294507 |
| 1.27075 | 3.293191 |
| 1.2797 | 3.291896 |
| 1.28871 | 3.290622 |
| 1.29778 | 3.289368 |
| 1.30691 | 3.288135 |
| 1.31611 | 3.286921 |
| 1.32538 | 3.285726 |
| 1.33471 | 3.284551 |
| 1.34411 | 3.283394 |
| 1.35357 | 3.282255 |
| 1.3631 | 3.281134 |
| 1.37269 | 3.280031 |
| 1.38236 | 3.278945 |
| 1.39209 | 3.277876 |
| 1.40189 | 3.276824 |
| 1.41176 | 3.275789 |
| 1.42169 | 3.274769 |
| 1.4317 | 3.273765 |
| 1.44178 | 3.272777 |
| 1.45193 | 3.271804 |
| 1.46215 | 3.270847 |
| 1.47245 | 3.269904 |
| 1.48281 | 3.268975 |
| 1.49325 | 3.268061 |
| 1.50376 | 3.26716 |
| 1.51435 | 3.266274 |
| 1.52501 | 3.265401 |
| 1.53574 | 3.264541 |
| 1.54656 | 3.263694 |
| 1.55744 | 3.26286 |
| 1.56841 | 3.262039 |
| 1.57945 | 3.26123 |
| 1.59057 | 3.260433 |
| 1.60176 | 3.259649 |
| 1.61304 | 3.258876 |
| 1.6244 | 3.258114 |
| 1.63583 | 3.257364 |
| 1.64735 | 3.256625 |
| 1.65894 | 3.255898 |
| 1.67062 | 3.255181 |
| 1.68238 | 3.254474 |
| 1.69423 | 3.253778 |
| 1.70615 | 3.253092 |
| 1.71817 | 3.252417 |
| 1.73026 | 3.251751 |
| 1.74244 | 3.251095 |
| 1.75471 | 3.250449 |
| 1.76706 | 3.249812 |
| 1.7795 | 3.249184 |
| 1.79203 | 3.248566 |
| 1.80464 | 3.247956 |
| 1.81735 | 3.247356 |
| 1.83014 | 3.246764 |
| 1.84302 | 3.24618 |
| 1.856 | 3.245605 |
| 1.86906 | 3.245038 |
| 1.88222 | 3.244479 |
| 1.89547 | 3.243929 |
| 1.90882 | 3.243386 |
| 1.92225 | 3.242851 |
| 1.93579 | 3.242323 |
| 1.94941 | 3.241803 |
| 1.96314 | 3.24129 |
| 1.97696 | 3.240784 |
| 1.99087 | 3.240286 |
| 2.00489 | 3.239794 |
| 2.019 | 3.23931 |
| 2.03322 | 3.238832 |
| 2.04753 | 3.238361 |
| 2.06194 | 3.237896 |
| 2.07646 | 3.237438 |
| 2.09108 | 3.236986 |
| 2.1058 | 3.23654 |
| 2.12062 | 3.2361 |
| 2.13555 | 3.235667 |
| 2.15058 | 3.235239 |
| 2.16572 | 3.234817 |
| 2.18097 | 3.234401 |
| 2.19632 | 3.23399 |
| 2.21179 | 3.233585 |
| 2.22736 | 3.233185 |
| 2.24304 | 3.232791 |
| 2.25883 | 3.232402 |
| 2.27473 | 3.232018 |
| 2.29074 | 3.231639 |
| 2.30687 | 3.231265 |
| 2.32311 | 3.230896 |
| 2.33946 | 3.230532 |
| 2.35593 | 3.230173 |
| 2.37252 | 3.229818 |
| 2.38922 | 3.229468 |
| 2.40604 | 3.229122 |
| 2.42298 | 3.228781 |
| 2.44003 | 3.228444 |
| 2.45721 | 3.228112 |
| 2.47451 | 3.227783 |
| 2.49193 | 3.227459 |
| 2.50947 | 3.227139 |
| 2.52714 | 3.226823 |
| 2.54493 | 3.226511 |
| 2.56284 | 3.226202 |
| 2.58088 | 3.225897 |
| 2.59905 | 3.225597 |
| 2.61735 | 3.225299 |
| 2.63578 | 3.225006 |
| 2.65433 | 3.224715 |
| 2.67302 | 3.224429 |
| 2.69183 | 3.224145 |
| 2.71078 | 3.223865 |
| 2.72987 | 3.223589 |
| 2.74908 | 3.223315 |
| 2.76844 | 3.223045 |
| 2.78793 | 3.222778 |
| 2.80755 | 3.222513 |
| 2.82732 | 3.222252 |
| 2.84722 | 3.221994 |
| 2.86727 | 3.221739 |
| 2.88745 | 3.221486 |
| 2.90778 | 3.221236 |
| 2.92825 | 3.220989 |
| 2.94886 | 3.220744 |
| 2.96962 | 3.220503 |
| 2.99053 | 3.220263 |
| 3.01158 | 3.220026 |
| 3.03278 | 3.219792 |
| 3.05413 | 3.21956 |
| 3.07563 | 3.21933 |
| 3.09728 | 3.219103 |
| 3.11909 | 3.218878 |
| 3.14104 | 3.218655 |
| 3.16316 | 3.218434 |
| 3.18542 | 3.218216 |
| 3.20785 | 3.217999 |
| 3.23043 | 3.217785 |
| 3.25317 | 3.217572 |
| 3.27607 | 3.217361 |
| 3.29914 | 3.217153 |
| 3.32236 | 3.216946 |
| 3.34575 | 3.21674 |
| 3.3693 | 3.216537 |
| 3.39302 | 3.216335 |
| 3.41691 | 3.216135 |
| 3.44096 | 3.215937 |
| 3.46519 | 3.21574 |
| 3.48958 | 3.215545 |
| 3.51415 | 3.215351 |
| 3.53888 | 3.215159 |
| 3.5638 | 3.214968 |
| 3.58889 | 3.214778 |
| 3.61415 | 3.21459 |
| 3.63959 | 3.214403 |
| 3.66521 | 3.214218 |
| 3.69102 | 3.214033 |
| 3.717 | 3.21385 |
| 3.74317 | 3.213668 |
| 3.76952 | 3.213487 |
| 3.79606 | 3.213307 |
| 3.82278 | 3.213128 |
| 3.84969 | 3.21295 |
| 3.87679 | 3.212773 |
| 3.90408 | 3.212597 |
| 3.93157 | 3.212422 |
| 3.95924 | 3.212247 |
| 3.98712 | 3.212074 |
| 4.01518 | 3.211901 |
| 4.04345 | 3.211729 |
| 4.07191 | 3.211558 |
| 4.10058 | 3.211387 |
| 4.12945 | 3.211217 |
| 4.15852 | 3.211047 |
| 4.18779 | 3.210878 |
| 4.21727 | 3.21071 |
| 4.24696 | 3.210542 |
| 4.27686 | 3.210374 |
| 4.30697 | 3.210207 |
| 4.33729 | 3.21004 |
| 4.36782 | 3.209874 |
| 4.39857 | 3.209707 |
| 4.42953 | 3.209541 |
| 4.46072 | 3.209376 |
| 4.49212 | 3.20921 |
| 4.52374 | 3.209045 |
| 4.55559 | 3.208879 |
| 4.58766 | 3.208714 |
| 4.61996 | 3.208549 |
| 4.65248 | 3.208384 |
| 4.68523 | 3.208219 |
| 4.71821 | 3.208053 |
| 4.75143 | 3.207888 |
| 4.78488 | 3.207722 |
| 4.81856 | 3.207557 |
| 4.85248 | 3.207391 |
| 4.88664 | 3.207225 |
| 4.92104 | 3.207058 |
| 4.95569 | 3.206891 |
| 4.99057 | 3.206724 |
| 5.02571 | 3.206557 |
| 5.06109 | 3.206389 |
| 5.09672 | 3.20622 |
| 5.13259 | 3.206051 |
| 5.16873 | 3.205881 |
| 5.20511 | 3.205711 |
| 5.24176 | 3.205541 |
| 5.27866 | 3.205369 |
| 5.31582 | 3.205197 |
| 5.35324 | 3.205024 |
| 5.39093 | 3.20485 |
| 5.42888 | 3.204676 |
| 5.46709 | 3.2045 |
| 5.50558 | 3.204324 |
| 5.54434 | 3.204146 |
| 5.58337 | 3.203968 |
| 5.62268 | 3.203789 |
| 5.66226 | 3.203608 |
| 5.70212 | 3.203427 |
| 5.74226 | 3.203244 |
| 5.78268 | 3.20306 |
| 5.82339 | 3.202875 |
| 5.86439 | 3.202688 |
| 5.90567 | 3.2025 |
| 5.94725 | 3.202311 |
| 5.98911 | 3.20212 |
| 6.03128 | 3.201928 |
| 6.07373 | 3.201734 |
| 6.11649 | 3.201539 |
| 6.15955 | 3.201342 |
| 6.20291 | 3.201143 |
| 6.24658 | 3.200943 |
| 6.29055 | 3.200741 |
| 6.33484 | 3.200537 |
| 6.37943 | 3.200331 |
| 6.42434 | 3.200123 |
| 6.46957 | 3.199913 |
| 6.51511 | 3.199701 |
| 6.56098 | 3.199487 |
| 6.60717 | 3.19927 |
| 6.65368 | 3.199052 |
| 6.70052 | 3.198831 |
| 6.74769 | 3.198608 |
| 6.79519 | 3.198383 |
| 6.84303 | 3.198155 |
| 6.8912 | 3.197924 |
| 6.93971 | 3.197691 |
| 6.98857 | 3.197455 |
| 7.03776 | 3.197217 |
| 7.08731 | 3.196975 |
| 7.1372 | 3.196731 |
| 7.18745 | 3.196484 |
| 7.23804 | 3.196234 |
| 7.289 | 3.195981 |
| 7.34031 | 3.195724 |
| 7.39198 | 3.195465 |
| 7.44402 | 3.195202 |
| 7.49643 | 3.194936 |
| 7.5492 | 3.194666 |
| 7.60234 | 3.194393 |
| 7.65586 | 3.194116 |
| 7.70976 | 3.193836 |
| 7.76403 | 3.193551 |
| 7.81869 | 3.193263 |
| 7.87373 | 3.192971 |
| 7.92916 | 3.192675 |
| 7.98498 | 3.192374 |
| 8.04119 | 3.19207 |
| 8.0978 | 3.191761 |
| 8.15481 | 3.191447 |
| 8.21221 | 3.191129 |
| 8.27003 | 3.190807 |
| 8.32825 | 3.190479 |
| 8.38687 | 3.190147 |
| 8.44592 | 3.18981 |
| 8.50537 | 3.189468 |
| 8.56525 | 3.18912 |
| 8.62555 | 3.188767 |
| 8.68627 | 3.188409 |
| 8.74742 | 3.188045 |
| 8.809 | 3.187676 |
| 8.87101 | 3.1873 |
| 8.93346 | 3.186919 |
| 8.99635 | 3.186531 |
| 9.05968 | 3.186138 |
| 9.12346 | 3.185737 |
| 9.18769 | 3.185331 |
| 9.25236 | 3.184917 |
| 9.3175 | 3.184497 |
| 9.38309 | 3.18407 |
| 9.44915 | 3.183635 |
| 9.51567 | 3.183194 |
| 9.58265 | 3.182744 |
| 9.65011 | 3.182287 |
| 9.71805 | 3.181822 |
| 9.78646 | 3.181349 |
| 9.85536 | 3.180868 |
| 9.92473 | 3.180378 |
| 9.9946 | 3.17988 |
| 10.065 | 3.179373 |
| 10.1358 | 3.178856 |
| 10.2072 | 3.17833 |
| 10.279 | 3.177795 |
| 10.3514 | 3.17725 |
| 10.4243 | 3.176695 |
| 10.4976 | 3.176129 |
| 10.5715 | 3.175553 |
| 10.646 | 3.174967 |
| 10.7209 | 3.174369 |
| 10.7964 | 3.173759 |
| 10.8724 | 3.173138 |
| 10.9489 | 3.172505 |
| 11.026 | 3.17186 |
| 11.1036 | 3.171202 |
| 11.1818 | 3.170532 |
| 11.2605 | 3.169848 |
| 11.3398 | 3.16915 |
| 11.4196 | 3.168438 |
| 11.5 | 3.167712 |
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)