Optical constants
Refractive index of SiO2 (Silicon dioxide, Silica, Quartz)
Nyakuchena et al. 2023: n 1.10–1.65 µm
- Data
- formula 5
- Range
- 1.1–1.65 µm
- Temperature
- 296 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.42195
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.02194
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- —
- Chromatic dispersion dn/dλ
- -0.00878273 µm⁻¹
- Group index ng
- 1.4338
- Group velocity dispersion
- 66.0997 fs²/mm
- Dispersion parameter D
- -68.3176 ps/(nm·km)
- Photon energy
- 0.918401 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
# SiO2 (Silicon dioxide, Silica, Quartz): Nyakuchena et al. 2023: n 1.10–1.65 µm
sio2 = ls.fetch_refractiveindex("main", "SiO2", "Nyakuchena", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sio2.range_nm) # (1100, 1650) nm
eps = sio2.eps([1350]) # complex permittivity
Downloads 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_ad20d35107b9/lightsmith"
sio2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(sio2.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (sio2/nyakuchena-2023).
# ... load sio2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=sio2)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=1100, stop_nm=1650, num=81),
)
res = ls.solve(sim) # exact Mie for a sphere
print(res.q_ext) # extinction efficiency at each wavelength
Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).
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
Cauchy (formula 5), λ in µmValid from 1.1 to 1.65 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 1.418 |
| C2 | -0.00054325 |
| C3 | 2.0 |
| C4 | 0.009 |
| C5 | -2.0 |
Comments and conditions
Conditions
- temperature
- 296 K
References
- doi:10.1039/d3cp03158f Refractive index dispersion measurement in the short-wave infrared range using synthetic phase microscopy, Physical Chemistry Chemical Physics (2023)
Cite
Melisa Nyakuchena, Cory Juntunen, Peter Shea and Yongjin Sung. Refractive index dispersion measurement in the short-wave infrared range using synthetic phase microscopy. Physical Chemistry Chemical Physics, 25, 23141-23149 (2023), doi:10.1039/d3cp03158f; 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| λ (µm) | n |
|---|---|
| 1.1 | 1.424781 |
| 1.10112 | 1.424764 |
| 1.10224 | 1.424748 |
| 1.10336 | 1.424731 |
| 1.10448 | 1.424715 |
| 1.1056 | 1.424699 |
| 1.10673 | 1.424682 |
| 1.10785 | 1.424666 |
| 1.10898 | 1.42465 |
| 1.11011 | 1.424634 |
| 1.11124 | 1.424618 |
| 1.11237 | 1.424601 |
| 1.1135 | 1.424585 |
| 1.11463 | 1.424569 |
| 1.11576 | 1.424553 |
| 1.1169 | 1.424537 |
| 1.11803 | 1.424521 |
| 1.11917 | 1.424505 |
| 1.12031 | 1.424489 |
| 1.12145 | 1.424473 |
| 1.12259 | 1.424457 |
| 1.12373 | 1.424441 |
| 1.12487 | 1.424425 |
| 1.12601 | 1.42441 |
| 1.12716 | 1.424394 |
| 1.1283 | 1.424378 |
| 1.12945 | 1.424362 |
| 1.1306 | 1.424346 |
| 1.13175 | 1.424331 |
| 1.1329 | 1.424315 |
| 1.13405 | 1.424299 |
| 1.1352 | 1.424284 |
| 1.13636 | 1.424268 |
| 1.13751 | 1.424253 |
| 1.13867 | 1.424237 |
| 1.13983 | 1.424222 |
| 1.14099 | 1.424206 |
| 1.14215 | 1.424191 |
| 1.14331 | 1.424175 |
| 1.14447 | 1.42416 |
| 1.14563 | 1.424144 |
| 1.1468 | 1.424129 |
| 1.14796 | 1.424114 |
| 1.14913 | 1.424098 |
| 1.1503 | 1.424083 |
| 1.15147 | 1.424068 |
| 1.15264 | 1.424052 |
| 1.15381 | 1.424037 |
| 1.15499 | 1.424022 |
| 1.15616 | 1.424007 |
| 1.15734 | 1.423992 |
| 1.15851 | 1.423977 |
| 1.15969 | 1.423961 |
| 1.16087 | 1.423946 |
| 1.16205 | 1.423931 |
| 1.16323 | 1.423916 |
| 1.16441 | 1.423901 |
| 1.1656 | 1.423886 |
| 1.16678 | 1.423871 |
| 1.16797 | 1.423856 |
| 1.16916 | 1.423842 |
| 1.17035 | 1.423827 |
| 1.17153 | 1.423812 |
| 1.17273 | 1.423797 |
| 1.17392 | 1.423782 |
| 1.17511 | 1.423767 |
| 1.17631 | 1.423753 |
| 1.1775 | 1.423738 |
| 1.1787 | 1.423723 |
| 1.1799 | 1.423708 |
| 1.1811 | 1.423694 |
| 1.1823 | 1.423679 |
| 1.1835 | 1.423665 |
| 1.1847 | 1.42365 |
| 1.18591 | 1.423635 |
| 1.18711 | 1.423621 |
| 1.18832 | 1.423606 |
| 1.18953 | 1.423592 |
| 1.19074 | 1.423577 |
| 1.19195 | 1.423563 |
| 1.19316 | 1.423548 |
| 1.19437 | 1.423534 |
| 1.19559 | 1.42352 |
| 1.1968 | 1.423505 |
| 1.19802 | 1.423491 |
| 1.19924 | 1.423477 |
| 1.20046 | 1.423462 |
| 1.20168 | 1.423448 |
| 1.2029 | 1.423434 |
| 1.20412 | 1.42342 |
| 1.20535 | 1.423405 |
| 1.20657 | 1.423391 |
| 1.2078 | 1.423377 |
| 1.20903 | 1.423363 |
| 1.21026 | 1.423349 |
| 1.21149 | 1.423335 |
| 1.21272 | 1.423321 |
| 1.21395 | 1.423307 |
| 1.21519 | 1.423293 |
| 1.21642 | 1.423279 |
| 1.21766 | 1.423265 |
| 1.2189 | 1.423251 |
| 1.22014 | 1.423237 |
| 1.22138 | 1.423223 |
| 1.22262 | 1.423209 |
| 1.22386 | 1.423195 |
| 1.22511 | 1.423181 |
| 1.22635 | 1.423167 |
| 1.2276 | 1.423153 |
| 1.22885 | 1.42314 |
| 1.2301 | 1.423126 |
| 1.23135 | 1.423112 |
| 1.2326 | 1.423098 |
| 1.23385 | 1.423085 |
| 1.23511 | 1.423071 |
| 1.23636 | 1.423057 |
| 1.23762 | 1.423044 |
| 1.23888 | 1.42303 |
| 1.24014 | 1.423016 |
| 1.2414 | 1.423003 |
| 1.24266 | 1.422989 |
| 1.24392 | 1.422976 |
| 1.24519 | 1.422962 |
| 1.24645 | 1.422949 |
| 1.24772 | 1.422935 |
| 1.24899 | 1.422922 |
| 1.25026 | 1.422908 |
| 1.25153 | 1.422895 |
| 1.2528 | 1.422882 |
| 1.25408 | 1.422868 |
| 1.25535 | 1.422855 |
| 1.25663 | 1.422842 |
| 1.25791 | 1.422828 |
| 1.25919 | 1.422815 |
| 1.26047 | 1.422802 |
| 1.26175 | 1.422788 |
| 1.26303 | 1.422775 |
| 1.26431 | 1.422762 |
| 1.2656 | 1.422749 |
| 1.26689 | 1.422736 |
| 1.26817 | 1.422722 |
| 1.26946 | 1.422709 |
| 1.27075 | 1.422696 |
| 1.27205 | 1.422683 |
| 1.27334 | 1.42267 |
| 1.27463 | 1.422657 |
| 1.27593 | 1.422644 |
| 1.27723 | 1.422631 |
| 1.27853 | 1.422618 |
| 1.27983 | 1.422605 |
| 1.28113 | 1.422592 |
| 1.28243 | 1.422579 |
| 1.28373 | 1.422566 |
| 1.28504 | 1.422553 |
| 1.28635 | 1.42254 |
| 1.28765 | 1.422527 |
| 1.28896 | 1.422514 |
| 1.29027 | 1.422502 |
| 1.29159 | 1.422489 |
| 1.2929 | 1.422476 |
| 1.29421 | 1.422463 |
| 1.29553 | 1.42245 |
| 1.29685 | 1.422438 |
| 1.29816 | 1.422425 |
| 1.29948 | 1.422412 |
| 1.30081 | 1.4224 |
| 1.30213 | 1.422387 |
| 1.30345 | 1.422374 |
| 1.30478 | 1.422362 |
| 1.3061 | 1.422349 |
| 1.30743 | 1.422336 |
| 1.30876 | 1.422324 |
| 1.31009 | 1.422311 |
| 1.31142 | 1.422299 |
| 1.31276 | 1.422286 |
| 1.31409 | 1.422274 |
| 1.31543 | 1.422261 |
| 1.31677 | 1.422249 |
| 1.3181 | 1.422236 |
| 1.31944 | 1.422224 |
| 1.32079 | 1.422211 |
| 1.32213 | 1.422199 |
| 1.32347 | 1.422187 |
| 1.32482 | 1.422174 |
| 1.32617 | 1.422162 |
| 1.32751 | 1.42215 |
| 1.32886 | 1.422137 |
| 1.33021 | 1.422125 |
| 1.33157 | 1.422113 |
| 1.33292 | 1.4221 |
| 1.33428 | 1.422088 |
| 1.33563 | 1.422076 |
| 1.33699 | 1.422064 |
| 1.33835 | 1.422052 |
| 1.33971 | 1.422039 |
| 1.34107 | 1.422027 |
| 1.34244 | 1.422015 |
| 1.3438 | 1.422003 |
| 1.34517 | 1.421991 |
| 1.34654 | 1.421979 |
| 1.3479 | 1.421967 |
| 1.34927 | 1.421955 |
| 1.35065 | 1.421943 |
| 1.35202 | 1.42193 |
| 1.35339 | 1.421918 |
| 1.35477 | 1.421906 |
| 1.35615 | 1.421894 |
| 1.35753 | 1.421883 |
| 1.35891 | 1.421871 |
| 1.36029 | 1.421859 |
| 1.36167 | 1.421847 |
| 1.36306 | 1.421835 |
| 1.36444 | 1.421823 |
| 1.36583 | 1.421811 |
| 1.36722 | 1.421799 |
| 1.36861 | 1.421787 |
| 1.37 | 1.421776 |
| 1.37139 | 1.421764 |
| 1.37279 | 1.421752 |
| 1.37418 | 1.42174 |
| 1.37558 | 1.421728 |
| 1.37698 | 1.421717 |
| 1.37838 | 1.421705 |
| 1.37978 | 1.421693 |
| 1.38118 | 1.421681 |
| 1.38259 | 1.42167 |
| 1.38399 | 1.421658 |
| 1.3854 | 1.421646 |
| 1.38681 | 1.421635 |
| 1.38822 | 1.421623 |
| 1.38963 | 1.421612 |
| 1.39104 | 1.4216 |
| 1.39246 | 1.421588 |
| 1.39387 | 1.421577 |
| 1.39529 | 1.421565 |
| 1.39671 | 1.421554 |
| 1.39813 | 1.421542 |
| 1.39955 | 1.421531 |
| 1.40097 | 1.421519 |
| 1.4024 | 1.421508 |
| 1.40382 | 1.421496 |
| 1.40525 | 1.421485 |
| 1.40668 | 1.421473 |
| 1.40811 | 1.421462 |
| 1.40954 | 1.421451 |
| 1.41097 | 1.421439 |
| 1.41241 | 1.421428 |
| 1.41384 | 1.421416 |
| 1.41528 | 1.421405 |
| 1.41672 | 1.421394 |
| 1.41816 | 1.421382 |
| 1.4196 | 1.421371 |
| 1.42105 | 1.42136 |
| 1.42249 | 1.421349 |
| 1.42394 | 1.421337 |
| 1.42539 | 1.421326 |
| 1.42683 | 1.421315 |
| 1.42828 | 1.421304 |
| 1.42974 | 1.421292 |
| 1.43119 | 1.421281 |
| 1.43265 | 1.42127 |
| 1.4341 | 1.421259 |
| 1.43556 | 1.421248 |
| 1.43702 | 1.421236 |
| 1.43848 | 1.421225 |
| 1.43994 | 1.421214 |
| 1.44141 | 1.421203 |
| 1.44287 | 1.421192 |
| 1.44434 | 1.421181 |
| 1.44581 | 1.42117 |
| 1.44728 | 1.421159 |
| 1.44875 | 1.421148 |
| 1.45022 | 1.421137 |
| 1.4517 | 1.421126 |
| 1.45317 | 1.421115 |
| 1.45465 | 1.421104 |
| 1.45613 | 1.421093 |
| 1.45761 | 1.421082 |
| 1.45909 | 1.421071 |
| 1.46058 | 1.42106 |
| 1.46206 | 1.421049 |
| 1.46355 | 1.421038 |
| 1.46504 | 1.421027 |
| 1.46653 | 1.421016 |
| 1.46802 | 1.421005 |
| 1.46951 | 1.420995 |
| 1.471 | 1.420984 |
| 1.4725 | 1.420973 |
| 1.474 | 1.420962 |
| 1.47549 | 1.420951 |
| 1.47699 | 1.42094 |
| 1.4785 | 1.42093 |
| 1.48 | 1.420919 |
| 1.4815 | 1.420908 |
| 1.48301 | 1.420897 |
| 1.48452 | 1.420887 |
| 1.48603 | 1.420876 |
| 1.48754 | 1.420865 |
| 1.48905 | 1.420855 |
| 1.49056 | 1.420844 |
| 1.49208 | 1.420833 |
| 1.4936 | 1.420822 |
| 1.49512 | 1.420812 |
| 1.49664 | 1.420801 |
| 1.49816 | 1.420791 |
| 1.49968 | 1.42078 |
| 1.50121 | 1.420769 |
| 1.50273 | 1.420759 |
| 1.50426 | 1.420748 |
| 1.50579 | 1.420738 |
| 1.50732 | 1.420727 |
| 1.50885 | 1.420716 |
| 1.51039 | 1.420706 |
| 1.51192 | 1.420695 |
| 1.51346 | 1.420685 |
| 1.515 | 1.420674 |
| 1.51654 | 1.420664 |
| 1.51808 | 1.420653 |
| 1.51962 | 1.420643 |
| 1.52117 | 1.420632 |
| 1.52272 | 1.420622 |
| 1.52426 | 1.420611 |
| 1.52581 | 1.420601 |
| 1.52736 | 1.420591 |
| 1.52892 | 1.42058 |
| 1.53047 | 1.42057 |
| 1.53203 | 1.420559 |
| 1.53359 | 1.420549 |
| 1.53515 | 1.420539 |
| 1.53671 | 1.420528 |
| 1.53827 | 1.420518 |
| 1.53983 | 1.420508 |
| 1.5414 | 1.420497 |
| 1.54296 | 1.420487 |
| 1.54453 | 1.420477 |
| 1.5461 | 1.420466 |
| 1.54768 | 1.420456 |
| 1.54925 | 1.420446 |
| 1.55082 | 1.420436 |
| 1.5524 | 1.420425 |
| 1.55398 | 1.420415 |
| 1.55556 | 1.420405 |
| 1.55714 | 1.420395 |
| 1.55872 | 1.420384 |
| 1.56031 | 1.420374 |
| 1.5619 | 1.420364 |
| 1.56348 | 1.420354 |
| 1.56507 | 1.420344 |
| 1.56666 | 1.420333 |
| 1.56826 | 1.420323 |
| 1.56985 | 1.420313 |
| 1.57145 | 1.420303 |
| 1.57305 | 1.420293 |
| 1.57465 | 1.420283 |
| 1.57625 | 1.420273 |
| 1.57785 | 1.420263 |
| 1.57945 | 1.420252 |
| 1.58106 | 1.420242 |
| 1.58267 | 1.420232 |
| 1.58428 | 1.420222 |
| 1.58589 | 1.420212 |
| 1.5875 | 1.420202 |
| 1.58911 | 1.420192 |
| 1.59073 | 1.420182 |
| 1.59235 | 1.420172 |
| 1.59396 | 1.420162 |
| 1.59559 | 1.420152 |
| 1.59721 | 1.420142 |
| 1.59883 | 1.420132 |
| 1.60046 | 1.420122 |
| 1.60208 | 1.420112 |
| 1.60371 | 1.420102 |
| 1.60534 | 1.420092 |
| 1.60698 | 1.420082 |
| 1.60861 | 1.420072 |
| 1.61025 | 1.420062 |
| 1.61188 | 1.420053 |
| 1.61352 | 1.420043 |
| 1.61516 | 1.420033 |
| 1.6168 | 1.420023 |
| 1.61845 | 1.420013 |
| 1.62009 | 1.420003 |
| 1.62174 | 1.419993 |
| 1.62339 | 1.419983 |
| 1.62504 | 1.419974 |
| 1.62669 | 1.419964 |
| 1.62835 | 1.419954 |
| 1.63 | 1.419944 |
| 1.63166 | 1.419934 |
| 1.63332 | 1.419924 |
| 1.63498 | 1.419915 |
| 1.63664 | 1.419905 |
| 1.6383 | 1.419895 |
| 1.63997 | 1.419885 |
| 1.64164 | 1.419876 |
| 1.64331 | 1.419866 |
| 1.64498 | 1.419856 |
| 1.64665 | 1.419846 |
| 1.64832 | 1.419837 |
| 1.65 | 1.419827 |
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
- —
Glass microspheres. 23 °C