Optical constants
Refractive index of ZnSiAs2 (Zinc silicon arsenide)
Boyd et al. 1972: n(e) 0.7–11.5 µm
- Data
- formula 2
- Range
- 0.7–11.5 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
- 3.25013
- Extinction coefficient k
- 0
- Permittivity ε1
- 10.5633
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.0136942 µm⁻¹
- Group index ng
- 3.28902
- Group velocity dispersion
- 515.062 fs²/mm
- Dispersion parameter D
- -120.288 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(e) 0.7–11.5 µm
znsias2 = ls.fetch_refractiveindex("main", "ZnSiAs2", "Boyd-e", 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_97059c89f853/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-e).
# ... 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_97059c89f853/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 | 3.9091 |
| C2 | 5.5565 |
| C3 | 0.1578 |
| C4 | 1.1287 |
| C5 | 700.0 |
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 |
|---|---|
| 0.7 | 3.619977 |
| 0.704928 | 3.612525 |
| 0.70989 | 3.605257 |
| 0.714888 | 3.598168 |
| 0.71992 | 3.591251 |
| 0.724989 | 3.584501 |
| 0.730092 | 3.577912 |
| 0.735232 | 3.571479 |
| 0.740408 | 3.565198 |
| 0.74562 | 3.559063 |
| 0.750869 | 3.553071 |
| 0.756155 | 3.547216 |
| 0.761478 | 3.541495 |
| 0.766839 | 3.535903 |
| 0.772237 | 3.530437 |
| 0.777673 | 3.525094 |
| 0.783148 | 3.519868 |
| 0.788661 | 3.514758 |
| 0.794213 | 3.50976 |
| 0.799804 | 3.50487 |
| 0.805435 | 3.500086 |
| 0.811105 | 3.495404 |
| 0.816815 | 3.490822 |
| 0.822565 | 3.486338 |
| 0.828356 | 3.481947 |
| 0.834187 | 3.477649 |
| 0.84006 | 3.473439 |
| 0.845973 | 3.469317 |
| 0.851929 | 3.46528 |
| 0.857926 | 3.461325 |
| 0.863966 | 3.457451 |
| 0.870048 | 3.453655 |
| 0.876173 | 3.449935 |
| 0.882341 | 3.446289 |
| 0.888552 | 3.442716 |
| 0.894807 | 3.439214 |
| 0.901107 | 3.435781 |
| 0.90745 | 3.432415 |
| 0.913838 | 3.429114 |
| 0.920272 | 3.425878 |
| 0.92675 | 3.422704 |
| 0.933274 | 3.419591 |
| 0.939844 | 3.416538 |
| 0.946461 | 3.413542 |
| 0.953123 | 3.410604 |
| 0.959833 | 3.407721 |
| 0.96659 | 3.404891 |
| 0.973395 | 3.402115 |
| 0.980247 | 3.399391 |
| 0.987148 | 3.396717 |
| 0.994097 | 3.394092 |
| 1.0011 | 3.391516 |
| 1.00814 | 3.388987 |
| 1.01524 | 3.386504 |
| 1.02239 | 3.384066 |
| 1.02958 | 3.381672 |
| 1.03683 | 3.379321 |
| 1.04413 | 3.377013 |
| 1.05148 | 3.374745 |
| 1.05888 | 3.372519 |
| 1.06634 | 3.370331 |
| 1.07385 | 3.368183 |
| 1.0814 | 3.366072 |
| 1.08902 | 3.363999 |
| 1.09668 | 3.361961 |
| 1.1044 | 3.359959 |
| 1.11218 | 3.357993 |
| 1.12001 | 3.35606 |
| 1.12789 | 3.35416 |
| 1.13583 | 3.352293 |
| 1.14383 | 3.350459 |
| 1.15188 | 3.348655 |
| 1.15999 | 3.346883 |
| 1.16816 | 3.34514 |
| 1.17638 | 3.343428 |
| 1.18466 | 3.341744 |
| 1.193 | 3.340088 |
| 1.2014 | 3.33846 |
| 1.20986 | 3.33686 |
| 1.21837 | 3.335286 |
| 1.22695 | 3.333739 |
| 1.23559 | 3.332217 |
| 1.24429 | 3.33072 |
| 1.25305 | 3.329248 |
| 1.26187 | 3.327801 |
| 1.27075 | 3.326377 |
| 1.2797 | 3.324976 |
| 1.28871 | 3.323599 |
| 1.29778 | 3.322243 |
| 1.30691 | 3.32091 |
| 1.31611 | 3.319599 |
| 1.32538 | 3.318309 |
| 1.33471 | 3.317039 |
| 1.34411 | 3.31579 |
| 1.35357 | 3.314561 |
| 1.3631 | 3.313352 |
| 1.37269 | 3.312162 |
| 1.38236 | 3.310991 |
| 1.39209 | 3.309838 |
| 1.40189 | 3.308704 |
| 1.41176 | 3.307588 |
| 1.42169 | 3.30649 |
| 1.4317 | 3.305408 |
| 1.44178 | 3.304344 |
| 1.45193 | 3.303297 |
| 1.46215 | 3.302266 |
| 1.47245 | 3.301251 |
| 1.48281 | 3.300251 |
| 1.49325 | 3.299268 |
| 1.50376 | 3.298299 |
| 1.51435 | 3.297346 |
| 1.52501 | 3.296407 |
| 1.53574 | 3.295483 |
| 1.54656 | 3.294573 |
| 1.55744 | 3.293677 |
| 1.56841 | 3.292795 |
| 1.57945 | 3.291926 |
| 1.59057 | 3.29107 |
| 1.60176 | 3.290227 |
| 1.61304 | 3.289398 |
| 1.6244 | 3.28858 |
| 1.63583 | 3.287776 |
| 1.64735 | 3.286983 |
| 1.65894 | 3.286202 |
| 1.67062 | 3.285433 |
| 1.68238 | 3.284675 |
| 1.69423 | 3.283929 |
| 1.70615 | 3.283194 |
| 1.71817 | 3.28247 |
| 1.73026 | 3.281756 |
| 1.74244 | 3.281054 |
| 1.75471 | 3.280361 |
| 1.76706 | 3.279679 |
| 1.7795 | 3.279007 |
| 1.79203 | 3.278345 |
| 1.80464 | 3.277692 |
| 1.81735 | 3.277049 |
| 1.83014 | 3.276415 |
| 1.84302 | 3.275791 |
| 1.856 | 3.275176 |
| 1.86906 | 3.274569 |
| 1.88222 | 3.273972 |
| 1.89547 | 3.273383 |
| 1.90882 | 3.272802 |
| 1.92225 | 3.27223 |
| 1.93579 | 3.271666 |
| 1.94941 | 3.27111 |
| 1.96314 | 3.270562 |
| 1.97696 | 3.270022 |
| 1.99087 | 3.26949 |
| 2.00489 | 3.268965 |
| 2.019 | 3.268447 |
| 2.03322 | 3.267937 |
| 2.04753 | 3.267434 |
| 2.06194 | 3.266938 |
| 2.07646 | 3.266449 |
| 2.09108 | 3.265967 |
| 2.1058 | 3.265491 |
| 2.12062 | 3.265022 |
| 2.13555 | 3.264559 |
| 2.15058 | 3.264103 |
| 2.16572 | 3.263654 |
| 2.18097 | 3.26321 |
| 2.19632 | 3.262772 |
| 2.21179 | 3.26234 |
| 2.22736 | 3.261915 |
| 2.24304 | 3.261495 |
| 2.25883 | 3.26108 |
| 2.27473 | 3.260671 |
| 2.29074 | 3.260268 |
| 2.30687 | 3.25987 |
| 2.32311 | 3.259477 |
| 2.33946 | 3.25909 |
| 2.35593 | 3.258707 |
| 2.37252 | 3.25833 |
| 2.38922 | 3.257958 |
| 2.40604 | 3.25759 |
| 2.42298 | 3.257227 |
| 2.44003 | 3.256869 |
| 2.45721 | 3.256516 |
| 2.47451 | 3.256167 |
| 2.49193 | 3.255823 |
| 2.50947 | 3.255482 |
| 2.52714 | 3.255147 |
| 2.54493 | 3.254815 |
| 2.56284 | 3.254488 |
| 2.58088 | 3.254164 |
| 2.59905 | 3.253845 |
| 2.61735 | 3.25353 |
| 2.63578 | 3.253218 |
| 2.65433 | 3.25291 |
| 2.67302 | 3.252606 |
| 2.69183 | 3.252306 |
| 2.71078 | 3.252009 |
| 2.72987 | 3.251716 |
| 2.74908 | 3.251427 |
| 2.76844 | 3.25114 |
| 2.78793 | 3.250857 |
| 2.80755 | 3.250578 |
| 2.82732 | 3.250301 |
| 2.84722 | 3.250028 |
| 2.86727 | 3.249758 |
| 2.88745 | 3.249491 |
| 2.90778 | 3.249227 |
| 2.92825 | 3.248965 |
| 2.94886 | 3.248707 |
| 2.96962 | 3.248452 |
| 2.99053 | 3.248199 |
| 3.01158 | 3.247949 |
| 3.03278 | 3.247702 |
| 3.05413 | 3.247457 |
| 3.07563 | 3.247215 |
| 3.09728 | 3.246975 |
| 3.11909 | 3.246738 |
| 3.14104 | 3.246503 |
| 3.16316 | 3.24627 |
| 3.18542 | 3.24604 |
| 3.20785 | 3.245812 |
| 3.23043 | 3.245586 |
| 3.25317 | 3.245363 |
| 3.27607 | 3.245141 |
| 3.29914 | 3.244922 |
| 3.32236 | 3.244704 |
| 3.34575 | 3.244489 |
| 3.3693 | 3.244275 |
| 3.39302 | 3.244063 |
| 3.41691 | 3.243853 |
| 3.44096 | 3.243645 |
| 3.46519 | 3.243439 |
| 3.48958 | 3.243234 |
| 3.51415 | 3.243031 |
| 3.53888 | 3.24283 |
| 3.5638 | 3.24263 |
| 3.58889 | 3.242432 |
| 3.61415 | 3.242235 |
| 3.63959 | 3.242039 |
| 3.66521 | 3.241845 |
| 3.69102 | 3.241653 |
| 3.717 | 3.241461 |
| 3.74317 | 3.241271 |
| 3.76952 | 3.241082 |
| 3.79606 | 3.240895 |
| 3.82278 | 3.240708 |
| 3.84969 | 3.240523 |
| 3.87679 | 3.240338 |
| 3.90408 | 3.240155 |
| 3.93157 | 3.239973 |
| 3.95924 | 3.239792 |
| 3.98712 | 3.239611 |
| 4.01518 | 3.239432 |
| 4.04345 | 3.239253 |
| 4.07191 | 3.239075 |
| 4.10058 | 3.238898 |
| 4.12945 | 3.238722 |
| 4.15852 | 3.238546 |
| 4.18779 | 3.238371 |
| 4.21727 | 3.238196 |
| 4.24696 | 3.238023 |
| 4.27686 | 3.237849 |
| 4.30697 | 3.237676 |
| 4.33729 | 3.237504 |
| 4.36782 | 3.237332 |
| 4.39857 | 3.237161 |
| 4.42953 | 3.236989 |
| 4.46072 | 3.236819 |
| 4.49212 | 3.236648 |
| 4.52374 | 3.236478 |
| 4.55559 | 3.236308 |
| 4.58766 | 3.236138 |
| 4.61996 | 3.235968 |
| 4.65248 | 3.235798 |
| 4.68523 | 3.235629 |
| 4.71821 | 3.235459 |
| 4.75143 | 3.235289 |
| 4.78488 | 3.235119 |
| 4.81856 | 3.23495 |
| 4.85248 | 3.23478 |
| 4.88664 | 3.23461 |
| 4.92104 | 3.234439 |
| 4.95569 | 3.234269 |
| 4.99057 | 3.234098 |
| 5.02571 | 3.233927 |
| 5.06109 | 3.233755 |
| 5.09672 | 3.233583 |
| 5.13259 | 3.233411 |
| 5.16873 | 3.233238 |
| 5.20511 | 3.233065 |
| 5.24176 | 3.232891 |
| 5.27866 | 3.232716 |
| 5.31582 | 3.232541 |
| 5.35324 | 3.232365 |
| 5.39093 | 3.232189 |
| 5.42888 | 3.232012 |
| 5.46709 | 3.231833 |
| 5.50558 | 3.231655 |
| 5.54434 | 3.231475 |
| 5.58337 | 3.231294 |
| 5.62268 | 3.231112 |
| 5.66226 | 3.23093 |
| 5.70212 | 3.230746 |
| 5.74226 | 3.230561 |
| 5.78268 | 3.230375 |
| 5.82339 | 3.230188 |
| 5.86439 | 3.229999 |
| 5.90567 | 3.229809 |
| 5.94725 | 3.229618 |
| 5.98911 | 3.229426 |
| 6.03128 | 3.229232 |
| 6.07373 | 3.229037 |
| 6.11649 | 3.22884 |
| 6.15955 | 3.228641 |
| 6.20291 | 3.228441 |
| 6.24658 | 3.22824 |
| 6.29055 | 3.228036 |
| 6.33484 | 3.227831 |
| 6.37943 | 3.227624 |
| 6.42434 | 3.227415 |
| 6.46957 | 3.227204 |
| 6.51511 | 3.226991 |
| 6.56098 | 3.226777 |
| 6.60717 | 3.22656 |
| 6.65368 | 3.22634 |
| 6.70052 | 3.226119 |
| 6.74769 | 3.225895 |
| 6.79519 | 3.225669 |
| 6.84303 | 3.225441 |
| 6.8912 | 3.22521 |
| 6.93971 | 3.224977 |
| 6.98857 | 3.224741 |
| 7.03776 | 3.224502 |
| 7.08731 | 3.224261 |
| 7.1372 | 3.224017 |
| 7.18745 | 3.22377 |
| 7.23804 | 3.22352 |
| 7.289 | 3.223267 |
| 7.34031 | 3.223011 |
| 7.39198 | 3.222752 |
| 7.44402 | 3.222489 |
| 7.49643 | 3.222224 |
| 7.5492 | 3.221954 |
| 7.60234 | 3.221682 |
| 7.65586 | 3.221406 |
| 7.70976 | 3.221126 |
| 7.76403 | 3.220843 |
| 7.81869 | 3.220555 |
| 7.87373 | 3.220264 |
| 7.92916 | 3.219969 |
| 7.98498 | 3.21967 |
| 8.04119 | 3.219367 |
| 8.0978 | 3.219059 |
| 8.15481 | 3.218747 |
| 8.21221 | 3.218431 |
| 8.27003 | 3.21811 |
| 8.32825 | 3.217784 |
| 8.38687 | 3.217453 |
| 8.44592 | 3.217118 |
| 8.50537 | 3.216778 |
| 8.56525 | 3.216432 |
| 8.62555 | 3.216081 |
| 8.68627 | 3.215725 |
| 8.74742 | 3.215363 |
| 8.809 | 3.214996 |
| 8.87101 | 3.214623 |
| 8.93346 | 3.214244 |
| 8.99635 | 3.21386 |
| 9.05968 | 3.213468 |
| 9.12346 | 3.213071 |
| 9.18769 | 3.212667 |
| 9.25236 | 3.212257 |
| 9.3175 | 3.21184 |
| 9.38309 | 3.211416 |
| 9.44915 | 3.210985 |
| 9.51567 | 3.210546 |
| 9.58265 | 3.2101 |
| 9.65011 | 3.209647 |
| 9.71805 | 3.209186 |
| 9.78646 | 3.208716 |
| 9.85536 | 3.208239 |
| 9.92473 | 3.207753 |
| 9.9946 | 3.207259 |
| 10.065 | 3.206756 |
| 10.1358 | 3.206244 |
| 10.2072 | 3.205723 |
| 10.279 | 3.205192 |
| 10.3514 | 3.204652 |
| 10.4243 | 3.204102 |
| 10.4976 | 3.203541 |
| 10.5715 | 3.202971 |
| 10.646 | 3.202389 |
| 10.7209 | 3.201797 |
| 10.7964 | 3.201193 |
| 10.8724 | 3.200578 |
| 10.9489 | 3.199951 |
| 11.026 | 3.199311 |
| 11.1036 | 3.19866 |
| 11.1818 | 3.197995 |
| 11.2605 | 3.197318 |
| 11.3398 | 3.196627 |
| 11.4196 | 3.195922 |
| 11.5 | 3.195203 |
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)