Optical constants

Refractive index of H2O, D2O (Water, heavy water, ice)

Rowe et al. 2020: Water; n,k 0.667–10400 µm; -10 °C

Data
tabulated nk
Range
0.6667–1.04e+04 µm
Points
15556
Temperature
263 K
State
liquid
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.6667–1.04e+04 µm
Refractive index n
1.93776
Extinction coefficient k
0.430934
Permittivity ε1
3.56919
Permittivity ε2
1.67009
Absorption coefficient α
650.093 cm⁻¹
Penetration depth δ = λ/(2πk)
30764.8 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
0.00426862 µm⁻¹
Group index ng
1.58218
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— ps/(nm·km)
Photon energy
0.0148841 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

# H2O, D2O (Water, heavy water, ice): Rowe et al. 2020: Water; n,k 0.667–10400 µm; -10 °C
h2o_d2o = ls.fetch_refractiveindex("main", "H2O", "Rowe-263K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(h2o_d2o.range_nm)  # (666.684, 1.03959e+07) nm
eps = h2o_d2o.eps([83300])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

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.

Comments and conditions

Supercooled liquid water (H2O) at -10 °C

Conditions

temperature
263 K

References

P. M. Rowe, M. Fergoda, S. Neshyba. Temperature-dependent optical properties of liquid water from 240 to 298 K. J. Geophys. Res. Atmos. 125, e2020JD032624 (2020) (Numerical data kindly provided by Penny Rowe)
  • doi:10.1029/2020jd032624 Temperature‐Dependent Optical Properties of Liquid Water From 240 to 298 K, Journal of Geophysical Research: Atmospheres (2020)

Cite

P. M. Rowe, M. Fergoda and S. Neshyba. Temperature‐Dependent Optical Properties of Liquid Water From 240 to 298 K. Journal of Geophysical Research: Atmospheres, 125, e2020JD032624 (2020), doi:10.1029/2020jd032624; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

15556 rows as published
H2O, D2O (Water, heavy water, ice), Rowe et al. 2020: Water; n,k 0.667–10400 µm; -10 °C: n and k versus wavelength
λ (µm)nk
0.666683731.32700832.4214387e-08
0.666726581.32700832.4214387e-08
0.666769481.32700822.4214387e-08
0.666812341.32700792.4214387e-08
0.666855211.32700772.4214387e-08
0.666898081.32700742.4214387e-08
0.6669411.32700712.4214387e-08
0.666983881.32700692.4214387e-08
0.667026771.32700662.4214387e-08
0.667069671.32700632.4214387e-08
0.667112561.3270062.4214387e-08
0.667155511.32700582.4214387e-08
0.667198421.32700552.4214387e-08
0.667241341.32700522.4214387e-08
0.667284261.3270052.4214387e-08
0.667327231.32700472.4214387e-08
0.667370161.32700442.4214387e-08
0.66741311.32700412.4214387e-08
0.667456041.32700392.4214387e-08
0.667499041.32700362.4214387e-08
0.667541991.32700332.4214387e-08
0.667584951.32700312.4214387e-08
0.667627921.32700282.4214387e-08
0.667670931.32700252.4214387e-08
0.667713911.32700222.4214387e-08
0.667756891.3270022.4214387e-08
0.667799881.32700172.4214387e-08
0.667842871.32700142.4214387e-08
0.667885911.32700112.4214387e-08
0.667928921.32700092.4214387e-08
0.667971931.32700062.4214387e-08
0.668014941.32700032.4214387e-08
0.668058011.32700012.4214387e-08
0.668101041.32699982.4214387e-08
0.668144071.32699952.4214387e-08
0.66818711.32699922.4214387e-08
0.668230191.3269992.4214387e-08
0.668273241.32699872.4214387e-08
0.668316291.32699842.4214387e-08
0.668359351.32699812.4214387e-08
0.668402461.32699792.4214387e-08
0.668445531.32699762.4214387e-08
0.668488611.32699732.4214387e-08
0.668531691.32699712.4214387e-08
0.668574781.32699682.4214387e-08
0.668617921.32699652.4214387e-08
0.668661021.32699622.4214387e-08
0.668704121.3269962.4214387e-08
0.668747231.32699572.4214387e-08
0.668790391.32699542.4214387e-08
0.668833511.32699512.4214387e-08
0.668876641.32699492.4214387e-08
0.668919771.32699462.4214387e-08
0.668962951.32699432.4214387e-08
0.669006091.3269942.4214387e-08
0.669049241.32699382.4214387e-08
0.669092391.32699352.4214387e-08
0.669135551.32699322.4214387e-08
0.669178761.32699292.4214387e-08
0.669221931.32699272.4214387e-08
0.669265111.32699242.4214387e-08
0.669308291.32699212.4214387e-08
0.669351521.32699182.4214387e-08
0.669394721.32699162.4214387e-08
0.669437921.32699132.4214387e-08
0.669481121.3269912.4214387e-08
0.669524381.32699072.4214387e-08
0.669567591.32699052.4214387e-08
0.669610811.32699022.4214387e-08
0.669654041.32698992.4214387e-08
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0.669740551.32698942.4214387e-08
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0.669827041.32698882.4214387e-08
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0.66991361.32698832.4214387e-08
0.669956871.3269882.4214387e-08
0.670000141.32698772.4214387e-08
0.670043421.32698742.4214387e-08
0.670086741.32698722.4214387e-08
0.670130031.32698692.4214387e-08
0.670173331.32698662.4214387e-08
0.670216631.32698632.4214387e-08
0.670259981.32698612.4214387e-08
0.670303291.32698582.4214387e-08
0.67034661.32698552.4214387e-08
0.670389921.32698522.4214387e-08
0.670433251.3269852.4214387e-08
0.670476631.32698472.4214387e-08
0.670519971.32698442.4214387e-08
0.670563311.32698412.4214387e-08
0.670606661.32698392.4214387e-08
0.670650061.32698362.4214387e-08
0.670693421.32698332.4214387e-08
0.670736791.3269832.4214387e-08
0.670780161.32698282.4214387e-08
0.670823581.32698252.4214387e-08
0.670866961.32698222.4214387e-08
0.670910351.32698192.4214387e-08
0.670953751.32698162.4214387e-08
0.670997191.32698142.4214387e-08
0.67104061.32698112.4214387e-08
0.671084011.32698082.4214387e-08
0.671127431.32698052.4214387e-08
0.671170851.32698032.4214387e-08
0.671214321.326982.4214387e-08
0.671257761.32697972.4214387e-08
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0.671388141.32697892.4214387e-08
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0.671475051.32697832.4214387e-08
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0.672302131.3269732.4214387e-08
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0.672432871.32697222.4214387e-08
0.672476461.32697192.4214387e-08
0.67252011.32697162.4214387e-08
0.672563711.32697142.4214387e-08
0.672607311.32697112.4214387e-08
0.672650931.32697082.4214387e-08
0.672694591.32697052.4214387e-08
0.672738221.32697032.4214387e-08
0.672781851.326972.4214387e-08
0.672825491.32696972.4214387e-08
0.672869171.32696942.4214387e-08
0.672912821.32696912.4214387e-08
0.672956481.32696892.4214387e-08
0.673000141.32696862.4214387e-08
0.67304381.32696832.4214387e-08
0.673087521.3269682.4214387e-08
0.673131191.32696772.4214387e-08
0.673174881.32696752.4214387e-08
0.673218561.32696722.4214387e-08
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0.673437181.32696582.4214387e-08
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0.673524631.32696522.4214387e-08
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0.673612151.32696472.4214387e-08
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0.673699641.32696412.4214387e-08
0.67374341.32696382.4214387e-08
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0.674356761.32695992.4214387e-08
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0.675146961.32695482.6077032e-08
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0.675410761.32695312.6077032e-08
0.675454741.32695282.6077032e-08
0.675498771.32695262.6077032e-08
0.675542761.32695232.6077032e-08
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0.675674811.32695142.6077032e-08
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0.675850891.32695032.6077032e-08
0.675894981.326952.6077032e-08
0.675939021.32694972.6077032e-08
0.675983071.32694942.6077032e-08
0.676027121.32694922.6077032e-08
0.676071221.32694892.6077032e-08
0.676115291.32694862.6077032e-08
0.676159361.32694832.6077032e-08
0.676203431.3269482.6077032e-08
0.676247561.32694772.6077032e-08
0.676291651.32694752.6077032e-08
0.676335741.32694722.6077032e-08
0.676379841.32694692.6077032e-08
0.676423951.32694662.6077032e-08
0.67646811.32694632.6077032e-08
0.676512221.3269462.6077032e-08
0.676556341.32694582.6077032e-08
0.676600471.32694552.6077032e-08
0.676644651.32694522.6077032e-08
0.676688791.32694492.6077032e-08
0.676732931.32694462.6077032e-08
0.676777081.32694432.6077032e-08
0.676821291.32694412.6077032e-08
0.676865451.32694382.6077032e-08
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0.677971661.32693662.6077032e-08
0.678015981.32693632.6077032e-08
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0.678282021.32693462.6077032e-08
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0.678370781.32693412.6077032e-08
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0.678459511.32693352.6077032e-08
0.678503891.32693322.6077032e-08
0.678548321.32693292.6077032e-08
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0.67885921.32693092.6077032e-08
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0.68032881.32692142.6077032e-08
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0.680909481.32691762.6077032e-08
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0.681043631.32691682.6077032e-08
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0.681133071.32691622.6077032e-08
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0.681222581.32691562.6077032e-08
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0.681312061.3269152.6077032e-08
0.681356811.32691472.6077032e-08
0.681401611.32691442.6077032e-08
0.681446381.32691412.6077032e-08
0.681491141.32691392.6077032e-08
0.681535921.32691362.6077032e-08
0.681580741.32691332.6077032e-08
0.681625531.3269132.6077032e-08
0.681670321.32691272.6077032e-08
0.681715121.32691242.6077032e-08
0.681759971.32691212.6077032e-08
0.681804781.32691182.6077032e-08
0.681849591.32691152.6077032e-08
0.681894411.32691122.6077032e-08
0.681939241.32691092.6077032e-08
0.681984121.32691072.6077032e-08
0.682028961.32691042.6077032e-08
0.68207381.32691012.6077032e-08
0.682118661.32690982.6077032e-08
0.682163561.32690952.6077032e-08
0.682208421.32690922.6077032e-08
0.682253291.32690892.6077032e-08
0.682298161.32690862.6077032e-08
0.682343091.32690832.6077032e-08
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0.682567631.32690692.6077032e-08
0.682612541.32690662.6077032e-08
0.682657461.32690632.6077032e-08
0.682702391.3269062.6077032e-08
0.682747371.32690572.6077032e-08
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0.682837251.32690512.6077032e-08
0.682882211.32690482.6077032e-08
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Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
—
Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—