Optical constants
Refractive index of SK2 (HIKARI)
SK2: n 0.4–0.7 µm
- Data
- formula 3 + tabulated k
- Range
- 0.4–0.7 µm
- Temperature
- 293 K
- Licence
- CC0-1.0
Plot
Click the plot to set the calculator wavelength.
At one wavelength
- Refractive index n
- 1.60738
- Extinction coefficient k
- 0
- Permittivity ε1
- 2.58366
- Permittivity ε2
- 0
- Absorption coefficient α
- 0 cm⁻¹
- Penetration depth δ = λ/(2πk)
- — nm
- Abbe number Vd
- 56.747
- Chromatic dispersion dn/dλ
- -0.0551593 µm⁻¹
- Group index ng
- 1.63979
- Group velocity dispersion
- 98.8825 fs²/mm
- Dispersion parameter D
- -539.457 ps/(nm·km)
- Photon energy
- 2.11001 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
# SK2 (HIKARI): SK2
hikari_sk2 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "SK2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_sk2.range_nm) # (400, 700) nm
eps = hikari_sk2.eps([633]) # 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_91d4a3477150/lightsmith"
hikari_sk2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(hikari_sk2.source) # citation and provenance travel with the data
Any dataset here, as the library's Tabulated material (hikari-sk2/hikari).
# ... load hikari_sk2 as above, then:
sim = ls.Simulation(
particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=hikari_sk2)],
medium_index=1.0,
wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=700, 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
Polynomial (formula 3), λ in µmValid from 0.4 to 0.7 µm.
Coefficients as stored
| Ci | Value |
|---|---|
| C1 | 2.54233 |
| C2 | -0.01001372 |
| C3 | 2.0 |
| C4 | 0.01366271 |
| C5 | -2.0 |
| C6 | 0.0008285866 |
| C7 | -4.0 |
| C8 | -8.590268e-05 |
| C9 | -6.0 |
| C10 | 5.079496e-06 |
| C11 | -8.0 |
Comments and conditions
Conditions
- temperature
- 293 K
Properties
- nd
- 1.607380
- Vd
- 56.746975
- glass code
- 607567
- glass status
- preferred
- density
- value: 3470
- thermal expansion
- value: 6.7e-06, temperature range: 243 343
- dPgF
- -0.0017
- k < 0 at some wavelengths in the source data (gain, or a sign convention issue)
References
Cite
NIKON Zemax catalog 2017-11 (obtained from http://www.nikon.com); See also HIKARI glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)
Data
Computed on 408 wavelengths, the same grid as the API and the library| λ (µm) | n | k |
|---|---|---|
| 0.4 | 1.626427 | 0 |
| 0.400561 | 1.626324 | 0 |
| 0.401124 | 1.626221 | 0 |
| 0.401687 | 1.626119 | 0 |
| 0.40225 | 1.626017 | 0 |
| 0.402815 | 1.625915 | 0 |
| 0.40338 | 1.625813 | 0 |
| 0.403946 | 1.625712 | 0 |
| 0.404513 | 1.625612 | 0 |
| 0.405081 | 1.625511 | 0 |
| 0.40565 | 1.625411 | 0 |
| 0.406219 | 1.625311 | 0 |
| 0.406789 | 1.625212 | 0 |
| 0.40736 | 1.625113 | 0 |
| 0.407932 | 1.625014 | 0 |
| 0.408504 | 1.624916 | 0 |
| 0.409078 | 1.624818 | 0 |
| 0.409652 | 1.62472 | 0 |
| 0.410227 | 1.624623 | 0 |
| 0.410803 | 1.624526 | 0 |
| 0.411379 | 1.624429 | 0 |
| 0.411957 | 1.624332 | 0 |
| 0.412535 | 1.624236 | 0 |
| 0.413114 | 1.62414 | 0 |
| 0.413694 | 1.624045 | 0 |
| 0.414274 | 1.62395 | 0 |
| 0.414856 | 1.623855 | 0 |
| 0.415438 | 1.62376 | 0 |
| 0.416021 | 1.623666 | 0 |
| 0.416605 | 1.623572 | 0 |
| 0.41719 | 1.623478 | 0 |
| 0.417775 | 1.623385 | 0 |
| 0.418362 | 1.623292 | 0 |
| 0.418949 | 1.623199 | 0 |
| 0.419537 | 1.623107 | 0 |
| 0.42 | 1.623034 | 0 |
| 0.420126 | 1.623015 | 0 |
| 0.420715 | 1.622923 | 0 |
| 0.421306 | 1.622831 | 0 |
| 0.421897 | 1.62274 | 0 |
| 0.422489 | 1.622649 | 0 |
| 0.423082 | 1.622559 | 0 |
| 0.423676 | 1.622468 | 0 |
| 0.424271 | 1.622378 | 0 |
| 0.424866 | 1.622288 | 0 |
| 0.425462 | 1.622199 | 0 |
| 0.42606 | 1.62211 | 0 |
| 0.426658 | 1.622021 | 0 |
| 0.427256 | 1.621932 | 0 |
| 0.427856 | 1.621844 | 0 |
| 0.428457 | 1.621756 | 0 |
| 0.429058 | 1.621668 | 0 |
| 0.42966 | 1.62158 | 0 |
| 0.430263 | 1.621493 | 0 |
| 0.430867 | 1.621406 | 0 |
| 0.431472 | 1.62132 | 0 |
| 0.432077 | 1.621233 | 0 |
| 0.432684 | 1.621147 | 0 |
| 0.433291 | 1.621061 | 0 |
| 0.433899 | 1.620976 | 0 |
| 0.434508 | 1.62089 | 0 |
| 0.435118 | 1.620805 | 0 |
| 0.435729 | 1.62072 | 0 |
| 0.43634 | 1.620636 | 0 |
| 0.436953 | 1.620552 | 0 |
| 0.437566 | 1.620468 | 0 |
| 0.43818 | 1.620384 | 0 |
| 0.438795 | 1.620301 | 0 |
| 0.439411 | 1.620217 | 0 |
| 0.44 | 1.620138 | 0 |
| 0.440028 | 1.620134 | 0 |
| 0.440645 | 1.620052 | 0 |
| 0.441264 | 1.619969 | 0 |
| 0.441883 | 1.619887 | 0 |
| 0.442503 | 1.619805 | 0 |
| 0.443124 | 1.619724 | 0 |
| 0.443746 | 1.619642 | 0 |
| 0.444369 | 1.619561 | 0 |
| 0.444993 | 1.61948 | 0 |
| 0.445617 | 1.619399 | 0 |
| 0.446243 | 1.619319 | 0 |
| 0.446869 | 1.619239 | 0 |
| 0.447496 | 1.619159 | 0 |
| 0.448124 | 1.619079 | 0 |
| 0.448753 | 1.619 | 0 |
| 0.449383 | 1.618921 | 0 |
| 0.450014 | 1.618842 | 0 |
| 0.450645 | 1.618763 | 0 |
| 0.451278 | 1.618685 | 0 |
| 0.451911 | 1.618607 | 0 |
| 0.452546 | 1.618529 | 0 |
| 0.453181 | 1.618451 | 0 |
| 0.453817 | 1.618373 | 0 |
| 0.454454 | 1.618296 | 0 |
| 0.455092 | 1.618219 | 0 |
| 0.45573 | 1.618142 | 0 |
| 0.45637 | 1.618066 | 0 |
| 0.457011 | 1.61799 | 0 |
| 0.457652 | 1.617913 | 0 |
| 0.458294 | 1.617838 | 0 |
| 0.458938 | 1.617762 | 0 |
| 0.459582 | 1.617687 | 0 |
| 0.46 | 1.617638 | 0 |
| 0.460227 | 1.617611 | 0 |
| 0.460873 | 1.617537 | 0 |
| 0.461519 | 1.617462 | 0 |
| 0.462167 | 1.617387 | 0 |
| 0.462816 | 1.617313 | 0 |
| 0.463465 | 1.617239 | 0 |
| 0.464116 | 1.617165 | 0 |
| 0.464767 | 1.617092 | 0 |
| 0.46542 | 1.617018 | 0 |
| 0.466073 | 1.616945 | 0 |
| 0.466727 | 1.616872 | 0 |
| 0.467382 | 1.6168 | 0 |
| 0.468038 | 1.616727 | 0 |
| 0.468695 | 1.616655 | 0 |
| 0.469353 | 1.616583 | 0 |
| 0.470012 | 1.616511 | 0 |
| 0.470671 | 1.61644 | 0 |
| 0.471332 | 1.616368 | 0 |
| 0.471993 | 1.616297 | 0 |
| 0.472656 | 1.616226 | 0 |
| 0.473319 | 1.616155 | 0 |
| 0.473984 | 1.616085 | 0 |
| 0.474649 | 1.616014 | 0 |
| 0.475315 | 1.615944 | 0 |
| 0.475982 | 1.615874 | 0 |
| 0.47665 | 1.615805 | 0 |
| 0.477319 | 1.615735 | 0 |
| 0.477989 | 1.615666 | 0 |
| 0.47866 | 1.615597 | 0 |
| 0.479332 | 1.615528 | 0 |
| 0.48 | 1.61546 | 0 |
| 0.480005 | 1.615459 | 0 |
| 0.480678 | 1.615391 | 0 |
| 0.481353 | 1.615323 | 0 |
| 0.482028 | 1.615255 | 0 |
| 0.482705 | 1.615187 | 0 |
| 0.483382 | 1.615119 | 0 |
| 0.484061 | 1.615052 | 0 |
| 0.48474 | 1.614985 | 0 |
| 0.485421 | 1.614917 | 0 |
| 0.486102 | 1.614851 | 0 |
| 0.486784 | 1.614784 | 0 |
| 0.487467 | 1.614718 | 0 |
| 0.488152 | 1.614651 | 0 |
| 0.488837 | 1.614585 | 0 |
| 0.489523 | 1.614519 | 0 |
| 0.49021 | 1.614454 | 0 |
| 0.490898 | 1.614388 | 0 |
| 0.491587 | 1.614323 | 0 |
| 0.492277 | 1.614258 | 0 |
| 0.492968 | 1.614193 | 0 |
| 0.49366 | 1.614128 | 0 |
| 0.494353 | 1.614064 | 0 |
| 0.495046 | 1.613999 | 0 |
| 0.495741 | 1.613935 | 0 |
| 0.496437 | 1.613871 | 0 |
| 0.497134 | 1.613807 | 0 |
| 0.497832 | 1.613744 | 0 |
| 0.49853 | 1.613681 | 0 |
| 0.49923 | 1.613617 | 0 |
| 0.499931 | 1.613554 | 0 |
| 0.5 | 1.613548 | 0 |
| 0.500632 | 1.613491 | 0 |
| 0.501335 | 1.613429 | 0 |
| 0.502039 | 1.613366 | 0 |
| 0.502743 | 1.613304 | 0 |
| 0.503449 | 1.613242 | 0 |
| 0.504155 | 1.61318 | 0 |
| 0.504863 | 1.613118 | 0 |
| 0.505572 | 1.613057 | 0 |
| 0.506281 | 1.612995 | 0 |
| 0.506992 | 1.612934 | 0 |
| 0.507703 | 1.612873 | 0 |
| 0.508416 | 1.612812 | 0 |
| 0.50913 | 1.612752 | 0 |
| 0.509844 | 1.612691 | 0 |
| 0.51056 | 1.612631 | 0 |
| 0.511276 | 1.612571 | 0 |
| 0.511994 | 1.612511 | 0 |
| 0.512712 | 1.612451 | 0 |
| 0.513432 | 1.612391 | 0 |
| 0.514153 | 1.612332 | 0 |
| 0.514874 | 1.612272 | 0 |
| 0.515597 | 1.612213 | 0 |
| 0.516321 | 1.612154 | 0 |
| 0.517045 | 1.612096 | 0 |
| 0.517771 | 1.612037 | 0 |
| 0.518498 | 1.611978 | 0 |
| 0.519225 | 1.61192 | 0 |
| 0.519954 | 1.611862 | 0 |
| 0.520684 | 1.611804 | 0 |
| 0.521415 | 1.611746 | 0 |
| 0.522147 | 1.611689 | 0 |
| 0.522879 | 1.611631 | 0 |
| 0.523613 | 1.611574 | 0 |
| 0.524348 | 1.611517 | 0 |
| 0.525084 | 1.61146 | 0 |
| 0.525821 | 1.611403 | 0 |
| 0.526559 | 1.611347 | 0 |
| 0.527298 | 1.61129 | 0 |
| 0.528038 | 1.611234 | 0 |
| 0.528779 | 1.611178 | 0 |
| 0.529521 | 1.611122 | 0 |
| 0.530265 | 1.611066 | 0 |
| 0.531009 | 1.61101 | 0 |
| 0.531754 | 1.610955 | 0 |
| 0.532501 | 1.610899 | 0 |
| 0.533248 | 1.610844 | 0 |
| 0.533996 | 1.610789 | 0 |
| 0.534746 | 1.610734 | 0 |
| 0.535496 | 1.61068 | 0 |
| 0.536248 | 1.610625 | 0 |
| 0.537001 | 1.610571 | 0 |
| 0.537754 | 1.610516 | 0 |
| 0.538509 | 1.610462 | 0 |
| 0.539265 | 1.610408 | 0 |
| 0.540022 | 1.610355 | 0 |
| 0.54078 | 1.610301 | 0 |
| 0.541539 | 1.610247 | 0 |
| 0.542299 | 1.610194 | 0 |
| 0.54306 | 1.610141 | 0 |
| 0.543822 | 1.610088 | 0 |
| 0.544585 | 1.610035 | 0 |
| 0.54535 | 1.609982 | 0 |
| 0.546115 | 1.60993 | 0 |
| 0.546882 | 1.609877 | 0 |
| 0.547649 | 1.609825 | 0 |
| 0.548418 | 1.609773 | 0 |
| 0.549187 | 1.609721 | 0 |
| 0.549958 | 1.609669 | 0 |
| 0.55 | 1.609666 | 0 |
| 0.55073 | 1.609617 | 0 |
| 0.551503 | 1.609566 | 0 |
| 0.552277 | 1.609514 | 0 |
| 0.553052 | 1.609463 | 0 |
| 0.553829 | 1.609412 | 0 |
| 0.554606 | 1.609361 | 0 |
| 0.555384 | 1.60931 | 0 |
| 0.556164 | 1.609259 | 0 |
| 0.556944 | 1.609209 | 0 |
| 0.557726 | 1.609158 | 0 |
| 0.558509 | 1.609108 | 0 |
| 0.559293 | 1.609058 | 0 |
| 0.560078 | 1.609008 | 0 |
| 0.560864 | 1.608958 | 0 |
| 0.561651 | 1.608908 | 0 |
| 0.562439 | 1.608859 | 0 |
| 0.563229 | 1.608809 | 0 |
| 0.564019 | 1.60876 | 0 |
| 0.564811 | 1.608711 | 0 |
| 0.565604 | 1.608662 | 0 |
| 0.566397 | 1.608613 | 0 |
| 0.567192 | 1.608564 | 0 |
| 0.567988 | 1.608515 | 0 |
| 0.568786 | 1.608467 | 0 |
| 0.569584 | 1.608418 | 0 |
| 0.570383 | 1.60837 | 0 |
| 0.571184 | 1.608322 | 0 |
| 0.571986 | 1.608274 | 0 |
| 0.572788 | 1.608226 | 0 |
| 0.573592 | 1.608179 | 0 |
| 0.574397 | 1.608131 | 0 |
| 0.575204 | 1.608084 | 0 |
| 0.576011 | 1.608036 | 0 |
| 0.576819 | 1.607989 | 0 |
| 0.577629 | 1.607942 | 0 |
| 0.57844 | 1.607895 | 0 |
| 0.579251 | 1.607848 | 0 |
| 0.580064 | 1.607802 | 0 |
| 0.580879 | 1.607755 | 0 |
| 0.581694 | 1.607709 | 0 |
| 0.58251 | 1.607662 | 0 |
| 0.583328 | 1.607616 | 0 |
| 0.584147 | 1.60757 | 0 |
| 0.584966 | 1.607524 | 0 |
| 0.585787 | 1.607478 | 0 |
| 0.58661 | 1.607433 | 0 |
| 0.587433 | 1.607387 | 0 |
| 0.588257 | 1.607342 | 0 |
| 0.589083 | 1.607296 | 0 |
| 0.58991 | 1.607251 | 0 |
| 0.590738 | 1.607206 | 0 |
| 0.591567 | 1.607161 | 0 |
| 0.592397 | 1.607117 | 0 |
| 0.593229 | 1.607072 | 0 |
| 0.594061 | 1.607027 | 0 |
| 0.594895 | 1.606983 | 0 |
| 0.59573 | 1.606938 | 0 |
| 0.596566 | 1.606894 | 0 |
| 0.597403 | 1.60685 | 0 |
| 0.598242 | 1.606806 | 0 |
| 0.599082 | 1.606762 | 0 |
| 0.599922 | 1.606719 | 0 |
| 0.6 | 1.606715 | 0 |
| 0.600764 | 1.606675 | 0 |
| 0.601608 | 1.606631 | 0 |
| 0.602452 | 1.606588 | 0 |
| 0.603298 | 1.606545 | 0 |
| 0.604144 | 1.606502 | 0 |
| 0.604992 | 1.606459 | 0 |
| 0.605841 | 1.606416 | 0 |
| 0.606692 | 1.606373 | 0 |
| 0.607543 | 1.60633 | 0 |
| 0.608396 | 1.606288 | 0 |
| 0.60925 | 1.606245 | 0 |
| 0.610105 | 1.606203 | 0 |
| 0.610961 | 1.60616 | 0 |
| 0.611819 | 1.606118 | 0 |
| 0.612677 | 1.606076 | 0 |
| 0.613537 | 1.606034 | 0 |
| 0.614398 | 1.605993 | 0 |
| 0.615261 | 1.605951 | 0 |
| 0.616124 | 1.605909 | 0 |
| 0.616989 | 1.605868 | 0 |
| 0.617855 | 1.605826 | 0 |
| 0.618722 | 1.605785 | 0 |
| 0.619591 | 1.605744 | 0 |
| 0.62046 | 1.605703 | 0 |
| 0.621331 | 1.605662 | 0 |
| 0.622203 | 1.605621 | 0 |
| 0.623076 | 1.60558 | 0 |
| 0.623951 | 1.60554 | 0 |
| 0.624827 | 1.605499 | 0 |
| 0.625704 | 1.605459 | 0 |
| 0.626582 | 1.605419 | 0 |
| 0.627461 | 1.605378 | 0 |
| 0.628342 | 1.605338 | 0 |
| 0.629224 | 1.605298 | 0 |
| 0.630107 | 1.605258 | 0 |
| 0.630991 | 1.605219 | 0 |
| 0.631877 | 1.605179 | 0 |
| 0.632764 | 1.605139 | 0 |
| 0.633652 | 1.6051 | 0 |
| 0.634541 | 1.60506 | 0 |
| 0.635432 | 1.605021 | 0 |
| 0.636324 | 1.604982 | 0 |
| 0.637217 | 1.604943 | 0 |
| 0.638111 | 1.604904 | 0 |
| 0.639007 | 1.604865 | 0 |
| 0.639904 | 1.604826 | 0 |
| 0.640802 | 1.604788 | 0 |
| 0.641701 | 1.604749 | 0 |
| 0.642602 | 1.60471 | 0 |
| 0.643504 | 1.604672 | 0 |
| 0.644407 | 1.604634 | 0 |
| 0.645311 | 1.604596 | 0 |
| 0.646217 | 1.604557 | 0 |
| 0.647124 | 1.604519 | 0 |
| 0.648032 | 1.604482 | 0 |
| 0.648942 | 1.604444 | 0 |
| 0.649852 | 1.604406 | 0 |
| 0.65 | 1.6044 | 0 |
| 0.650765 | 1.604368 | -5.727790e-08 |
| 0.651678 | 1.604331 | -1.257019e-07 |
| 0.652593 | 1.604293 | -1.942220e-07 |
| 0.653509 | 1.604256 | -2.628382e-07 |
| 0.654426 | 1.604219 | -3.315507e-07 |
| 0.655344 | 1.604182 | -4.003597e-07 |
| 0.656264 | 1.604145 | -4.692652e-07 |
| 0.657185 | 1.604108 | -5.382675e-07 |
| 0.658108 | 1.604071 | -6.073666e-07 |
| 0.659031 | 1.604034 | -6.765626e-07 |
| 0.659956 | 1.603997 | -7.458558e-07 |
| 0.660882 | 1.603961 | -8.152463e-07 |
| 0.66181 | 1.603924 | -8.847341e-07 |
| 0.662739 | 1.603888 | -9.543195e-07 |
| 0.663669 | 1.603851 | -1.024003e-06 |
| 0.664601 | 1.603815 | -1.093783e-06 |
| 0.665533 | 1.603779 | -1.163662e-06 |
| 0.666467 | 1.603743 | -1.233639e-06 |
| 0.667403 | 1.603707 | -1.303714e-06 |
| 0.66834 | 1.603671 | -1.373888e-06 |
| 0.669278 | 1.603635 | -1.444159e-06 |
| 0.670217 | 1.6036 | -1.514530e-06 |
| 0.671158 | 1.603564 | -1.584999e-06 |
| 0.6721 | 1.603528 | -1.655568e-06 |
| 0.673043 | 1.603493 | -1.726235e-06 |
| 0.673988 | 1.603458 | -1.797001e-06 |
| 0.674933 | 1.603422 | -1.867867e-06 |
| 0.675881 | 1.603387 | -1.938832e-06 |
| 0.676829 | 1.603352 | -2.009897e-06 |
| 0.677779 | 1.603317 | -2.081062e-06 |
| 0.678731 | 1.603282 | -2.152326e-06 |
| 0.679683 | 1.603247 | -2.223691e-06 |
| 0.680637 | 1.603212 | -2.295155e-06 |
| 0.681592 | 1.603178 | -2.366720e-06 |
| 0.682549 | 1.603143 | -2.438386e-06 |
| 0.683507 | 1.603109 | -2.510152e-06 |
| 0.684466 | 1.603074 | -2.582018e-06 |
| 0.685427 | 1.60304 | -2.653986e-06 |
| 0.686389 | 1.603006 | -2.726054e-06 |
| 0.687352 | 1.602971 | -2.798224e-06 |
| 0.688317 | 1.602937 | -2.870495e-06 |
| 0.689283 | 1.602903 | -2.942868e-06 |
| 0.690251 | 1.602869 | -3.015342e-06 |
| 0.691219 | 1.602835 | -3.087917e-06 |
| 0.69219 | 1.602802 | -3.160595e-06 |
| 0.693161 | 1.602768 | -3.233375e-06 |
| 0.694134 | 1.602734 | -3.306256e-06 |
| 0.695108 | 1.602701 | -3.379240e-06 |
| 0.696084 | 1.602667 | -3.452327e-06 |
| 0.697061 | 1.602634 | -3.525516e-06 |
| 0.698039 | 1.6026 | -3.598808e-06 |
| 0.699019 | 1.602567 | -3.672202e-06 |
| 0.7 | 1.602534 | -3.745700e-06 |
Optical transmission calculator
Free-standing sample in vacuum, normal incidence- Transmittance T
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- Reflectance R
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Fresnel reflection calculator
- Rp
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- Rs
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- R = (Rp+Rs)/2
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- Phase φp
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- Phase φs
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- Brewster angle θB
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- Critical angle θC
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