Optical constants

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

Kedenburg et al. 2012: Heavy water; n 0.5–1.6 µm, k 0.5–1.75 µm

Data
formula 2 + tabulated k
Range
0.5–1.6 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.5–1.6 µm
Refractive index n
1.32823
Extinction coefficient k
3.04835e-08
Permittivity ε1
1.76419
Permittivity ε2
8.09780e-08
Absorption coefficient α
0.00651917 cm⁻¹
Penetration depth δ = λ/(2πk)
3.06788e+09 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.0288981 µm⁻¹
Group index ng
1.34521
Group velocity dispersion
47.6126 fs²/mm
Dispersion parameter D
-259.752 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

# H2O, D2O (Water, heavy water, ice): Kedenburg et al. 2012: Heavy water; n 0.5–1.6 µm, k 0.5–1.75 µm
h2o_d2o = ls.fetch_refractiveindex("main", "H2O", "Kedenburg-D2O", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(h2o_d2o.range_nm)  # (500, 1600) nm
eps = h2o_d2o.eps([633])  # 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.

Dispersion formula

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=−0.30637λ2λ2+47.26686+0.74659λ2λ2−0.00893

Valid from 0.5 to 1.6 µm.

Coefficients as stored
CiValue
C10.0
C2-0.30637
C3-47.26686
C40.74659
C50.00893

Comments and conditions

Heavy water (D2O) at 20 °C.

Conditions

temperature
293 K

References

S. Kedenburg, M. Vieweg, T. Gissibl, H. Giessen. Linear refractive index and absorption measurements of nonlinear optical liquids in the visible and near-infrared spectral region. Opt. Mater. Express 2, 1588-1611 (2012)
  • doi:10.1364/ome.2.001588 Linear refractive index and absorption measurements of nonlinear optical liquids in the visible and near-infrared spectral region, Optical Materials Express (2012)

Cite

S. Kedenburg, M. Vieweg, T. Gissibl and H. Giessen. Linear refractive index and absorption measurements of nonlinear optical liquids in the visible and near-infrared spectral region. Optical Materials Express, 2, 1588 (2012), doi:10.1364/ome.2.001588; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 1279 wavelengths, the same grid as the API and the library
H2O, D2O (Water, heavy water, ice), Kedenburg et al. 2012: Heavy water; n 0.5–1.6 µm, k 0.5–1.75 µm: n and k versus wavelength
λ (µm)nk
0.51.3314032.725530e-08
0.501251.3313462.792170e-08
0.501461.3313372.789313e-08
0.50251.331292.775140e-08
0.5029241.3312712.791070e-08
0.503751.3312342.822140e-08
0.5043921.3312062.734931e-08
0.5051.3311792.652320e-08
0.5058641.3311412.854665e-08
0.506251.3311242.944910e-08
0.5073411.3310762.725614e-08
0.50751.3310692.693720e-08
0.508751.3310152.995890e-08
0.5088221.3310122.988792e-08
0.511.3309612.873380e-08
0.5103081.3309482.810981e-08
0.511251.3309082.620050e-08
0.5117981.3308842.626430e-08
0.51251.3308542.634610e-08
0.5132921.3308212.687885e-08
0.513751.3308022.718710e-08
0.514791.3307582.829954e-08
0.5151.3307492.852370e-08
0.516251.3306972.920920e-08
0.5162931.3306952.912901e-08
0.51751.3306462.689140e-08
0.5178011.3306332.715514e-08
0.518751.3305942.798840e-08
0.5193121.3305712.829788e-08
0.521.3305432.867650e-08
0.5208281.330512.874972e-08
0.521251.3304932.878700e-08
0.5223491.3304492.892070e-08
0.52251.3304432.893910e-08
0.523751.3303932.829980e-08
0.5238741.3303882.838921e-08
0.5251.3303432.920290e-08
0.5254031.3303272.857699e-08
0.526251.3302942.726230e-08
0.5269371.3302672.764402e-08
0.52751.3302452.795680e-08
0.5284751.3302072.784428e-08
0.528751.3301962.781260e-08
0.531.3301482.716140e-08
0.5300181.3301472.720980e-08
0.531251.33013.048070e-08
0.5315661.3300883.020996e-08
0.53251.3300532.940830e-08
0.5331171.3300292.937945e-08
0.533751.3300052.934990e-08
0.5346741.3299712.908605e-08
0.5351.3299582.899290e-08
0.5362351.3299122.935483e-08
0.536251.3299122.935930e-08
0.53751.3298652.968440e-08
0.53781.3298542.943322e-08
0.538751.3298192.863870e-08
0.539371.3297962.899159e-08
0.541.3297732.934980e-08
0.5409451.3297392.842434e-08
0.541251.3297282.812560e-08
0.54251.3296832.944250e-08
0.5425241.3296822.943878e-08
0.543751.3296382.925070e-08
0.5441081.3296252.892211e-08
0.5451.3295932.810360e-08
0.5456971.3295692.859976e-08
0.546251.3295492.899400e-08
0.547291.3295122.803452e-08
0.54751.3295052.784040e-08
0.548751.3294612.724890e-08
0.5488871.3294572.757813e-08
0.551.3294183.024340e-08
0.550491.3294013.032193e-08
0.551251.3293753.044380e-08
0.5520971.3293462.855417e-08
0.55251.3293322.765500e-08
0.5537091.3292912.967568e-08
0.553751.3292892.974460e-08
0.5551.3292472.817760e-08
0.5553251.3292362.792919e-08
0.556251.3292052.722300e-08
0.5569471.3291812.832003e-08
0.55751.3291632.919180e-08
0.5585721.3291272.745500e-08
0.558751.3291212.716750e-08
0.561.329082.829770e-08
0.5602031.3290732.847495e-08
0.561251.3290392.938820e-08
0.5618391.329022.939790e-08
0.56251.3289982.940880e-08
0.5634791.3289662.861684e-08
0.563751.3289582.839750e-08
0.5651.3289173.039380e-08
0.5651241.3289133.041834e-08
0.566251.3288773.064130e-08
0.5667741.328863.013984e-08
0.56751.3288372.944450e-08
0.5684281.3288082.888754e-08
0.568751.3287982.869460e-08
0.571.3287583.057210e-08
0.5700881.3287563.046815e-08
0.571251.3287192.909350e-08
0.5717521.3287042.924721e-08
0.57251.328682.947610e-08
0.5734211.3286522.844658e-08
0.573751.3286422.807940e-08
0.5751.3286032.905570e-08
0.5750951.32862.913055e-08
0.576251.3285653.003600e-08
0.5767741.3285492.946568e-08
0.57751.3285272.867650e-08
0.5784581.3284982.904186e-08
0.578751.3284892.915310e-08
0.581.3284522.940070e-08
0.5801471.3284472.951150e-08
0.581251.3284153.034290e-08
0.5818411.3283972.991373e-08
0.58251.3283772.943470e-08
0.5835391.3283472.910095e-08
0.583751.3283412.903330e-08
0.5851.3283042.923520e-08
0.5852431.3282972.922014e-08
0.586251.3282672.915770e-08
0.5869511.3282472.995347e-08
0.58751.3282313.057570e-08
0.5886651.3281982.950097e-08
0.588751.3281952.942260e-08
0.591.3281593.033020e-08
0.5903841.3281483.058092e-08
0.591251.3281243.114720e-08
0.5921071.3280993.048107e-08
0.59251.3280883.017580e-08
0.593751.3280533.146790e-08
0.5938361.3280513.148545e-08
0.5951.3280183.172360e-08
0.5955691.3280023.175394e-08
0.596251.3279833.179020e-08
0.5973081.3279543.144414e-08
0.59751.3279493.138140e-08
0.598751.3279143.097060e-08
0.5990521.3279063.001738e-08
0.61.327882.702450e-08
0.6008011.3278582.758169e-08
0.601251.3278462.789420e-08
0.60251.3278122.814400e-08
0.6025551.327812.809599e-08
0.603751.3277782.704930e-08
0.6043141.3277632.681389e-08
0.6051.3277452.652750e-08
0.6060781.3277162.678290e-08
0.606251.3277112.682360e-08
0.60751.3276782.813580e-08
0.6078481.3276692.764005e-08
0.608751.3276452.635290e-08
0.6096221.3276222.679706e-08
0.611.3276122.698950e-08
0.611251.327582.762850e-08
0.6114021.3275762.766497e-08
0.61251.3275472.792870e-08
0.6131871.327532.745013e-08
0.613751.3275152.705770e-08
0.6149771.3274842.792845e-08
0.6151.3274832.794480e-08
0.616251.3274512.809970e-08
0.6167721.3274382.808244e-08
0.61751.3274192.805840e-08
0.6185731.3273922.827625e-08
0.618751.3273882.831220e-08
0.621.3273562.910940e-08
0.6203791.3273472.902233e-08
0.621251.3273252.882210e-08
0.622191.3273022.886571e-08
0.62251.3272942.888010e-08
0.623751.3272632.958330e-08
0.6240061.3272572.941184e-08
0.6251.3272322.874740e-08
0.6258281.3272122.829020e-08
0.626251.3272022.805730e-08
0.62751.3271712.856270e-08
0.6276551.3271682.861946e-08
0.628751.3271412.901990e-08
0.6294881.3271232.899476e-08
0.631.3271112.897730e-08
0.631251.3270812.883390e-08
0.6313251.3270792.886464e-08
0.63251.3270512.934400e-08
0.6331681.3270352.918625e-08
0.633751.3270212.904900e-08
0.6351.3269922.870200e-08
0.6350171.3269912.869523e-08
0.636251.3269622.820160e-08
0.6368711.3269482.832988e-08
0.63751.3269332.845990e-08
0.638731.3269052.821467e-08
0.638751.3269042.821070e-08
0.641.3268752.882610e-08
0.6405951.3268612.892574e-08
0.641251.3268462.903550e-08
0.6424651.3268182.834511e-08
0.64251.3268182.832520e-08
0.643751.3267892.950730e-08
0.6443411.3267762.924338e-08
0.6451.3267612.894870e-08
0.6462221.3267333.121508e-08
0.646251.3267333.126760e-08
0.64751.3267043.050360e-08
0.6481081.3266913.083372e-08
0.648751.3266763.118200e-08
0.651.3266493.108690e-08
0.651.3266493.108707e-08
0.651251.3266213.166500e-08
0.6518981.3266073.115816e-08
0.65251.3265933.068730e-08
0.653751.3265663.147440e-08
0.6538011.3265653.147686e-08
0.6551.3265393.153460e-08
0.655711.3265233.201363e-08
0.656251.3265113.237810e-08
0.65751.3264843.055620e-08
0.6576241.3264823.066091e-08
0.658751.3264573.161030e-08
0.6595441.326443.174847e-08
0.661.3264313.182780e-08
0.661251.3264043.204590e-08
0.661471.3263993.192691e-08
0.66251.3263773.136840e-08
0.6634011.3263583.205808e-08
0.663751.3263513.232560e-08
0.6651.3263253.270400e-08
0.6653371.3263183.302109e-08
0.666251.3262983.387880e-08
0.667281.3262773.388745e-08
0.66751.3262723.388930e-08
0.668751.3262463.342050e-08
0.6692281.3262373.377052e-08
0.671.3262213.433610e-08
0.6711821.3261963.308378e-08
0.671251.3261953.301130e-08
0.67251.3261693.194900e-08
0.6731411.3261563.217194e-08
0.673751.3261443.238370e-08
0.6751.3261183.217520e-08
0.6751061.3261163.222143e-08
0.676251.3260933.271910e-08
0.6770771.3260773.440024e-08
0.67751.3260683.525960e-08
0.678751.3260433.311010e-08
0.6790541.3260373.316438e-08
0.681.3260183.333340e-08
0.6810361.3259983.347409e-08
0.681251.3259933.350310e-08
0.68251.3259693.437930e-08
0.6830251.3259583.424586e-08
0.683751.3259443.406130e-08
0.6851.325923.526830e-08
0.6850191.3259193.523685e-08
0.686251.3258953.314830e-08
0.6870181.325883.365624e-08
0.68751.3258713.397460e-08
0.688751.3258473.436520e-08
0.6890241.3258423.421033e-08
0.691.3258233.365890e-08
0.6910361.3258033.411955e-08
0.691251.3257993.421490e-08
0.69251.3257753.537900e-08
0.6930531.3257643.460117e-08
0.693751.3257513.362100e-08
0.6951.3257283.357100e-08
0.6950761.3257263.352052e-08
0.696251.3257043.274480e-08
0.6971061.3256883.308902e-08
0.69751.3256813.324770e-08
0.698751.3256573.219520e-08
0.6991411.325653.339724e-08
0.71.3256343.604060e-08
0.7011821.3256123.298866e-08
0.701251.3256113.281260e-08
0.70251.3255883.376550e-08
0.7032291.3255743.350666e-08
0.703751.3255653.332160e-08
0.7051.3255423.444670e-08
0.7052821.3255373.421966e-08
0.706251.3255193.343990e-08
0.7073411.3254993.417944e-08
0.70751.3254963.428730e-08
0.708751.3254743.750640e-08
0.7094061.3254623.923100e-08
0.711.3254514.079300e-08
0.711251.3254293.973280e-08
0.7114771.3254253.971461e-08
0.71251.3254073.963260e-08
0.7135541.3253883.614690e-08
0.713751.3253843.549900e-08
0.7151.3253623.573190e-08
0.7156371.3253513.465956e-08
0.716251.325343.362840e-08
0.71751.3253183.602810e-08
0.7177261.3253143.540733e-08
0.718751.3252963.260190e-08
0.7198221.3252783.486131e-08
0.721.3252753.523690e-08
0.721251.3252533.564250e-08
0.7219231.3252413.502539e-08
0.72251.3252313.449680e-08
0.723751.325213.375020e-08
0.7240311.3252053.426889e-08
0.7251.3251883.605850e-08
0.7261451.3251693.600960e-08
0.726251.3251673.600510e-08
0.72751.3251463.676180e-08
0.7282651.3251333.520426e-08
0.728751.3251243.421530e-08
0.731.3251033.456450e-08
0.7303911.3250973.460119e-08
0.731251.3250823.468190e-08
0.73251.3250613.386680e-08
0.7325231.3250613.389576e-08
0.733751.325043.544270e-08
0.7346621.3250253.604124e-08
0.7351.3250193.626350e-08
0.736251.3249993.509480e-08
0.7368061.324993.499071e-08
0.73751.3249783.486090e-08
0.738751.3249583.427330e-08
0.7389571.3249543.445875e-08
0.741.3249373.539130e-08
0.7411151.3249193.675958e-08
0.741251.3249173.692570e-08
0.74251.3248963.556990e-08
0.7432781.3248843.376463e-08
0.743751.3248763.267050e-08
0.7451.3248563.296260e-08
0.7454481.3248493.394068e-08
0.746251.3248363.569020e-08
0.74751.3248163.491720e-08
0.7476251.3248143.489928e-08
0.748751.3247963.473730e-08
0.7498071.3247793.569481e-08
0.751.3247763.586950e-08
0.751251.3247563.539130e-08
0.7519961.3247443.535495e-08
0.75251.3247363.533040e-08
0.753751.3247163.376960e-08
0.7541921.3247093.406528e-08
0.7551.3246973.460670e-08
0.756251.3246773.514540e-08
0.7563931.3246753.572575e-08
0.75751.3246584.020670e-08
0.7586021.3246413.670013e-08
0.758751.3246383.622760e-08
0.761.3246193.652920e-08
0.7608161.3246063.755739e-08
0.761251.32463.810380e-08
0.76251.324583.792360e-08
0.7630371.3245723.700972e-08
0.763751.3245613.579780e-08
0.7651.3245423.762180e-08
0.7652651.3245383.771241e-08
0.766251.3245233.804920e-08
0.7674991.3245043.707368e-08
0.76751.3245043.707300e-08
0.768751.3244853.756160e-08
0.769741.324473.639699e-08
0.771.3244663.609080e-08
0.771251.3244483.737680e-08
0.7719871.3244373.828239e-08
0.77251.3244293.891280e-08
0.773751.324414.094610e-08
0.7742411.3244033.925306e-08
0.7751.3243923.663350e-08
0.776251.3243734.249910e-08
0.7765011.324374.169270e-08
0.77751.3243553.848410e-08
0.778751.3243364.028110e-08
0.7787681.3243364.027310e-08
0.781.3243183.972510e-08
0.7810421.3243033.843126e-08
0.781251.32433.817230e-08
0.78251.3242823.929200e-08
0.7833221.324273.945621e-08
0.783751.3242633.954180e-08
0.7851.3242453.841800e-08
0.7856091.3242363.863056e-08
0.786251.3242273.885460e-08
0.78751.3242093.753770e-08
0.7879021.3242033.901057e-08
0.788751.3241914.211650e-08
0.791.3241734.067440e-08
0.7902021.3241714.100072e-08
0.791251.3241564.269070e-08
0.79251.3241384.212750e-08
0.7925091.3241384.212939e-08
0.793751.324124.238350e-08
0.7948231.3241054.021444e-08
0.7951.3241023.985640e-08
0.796251.3240854.321390e-08
0.7971431.3240724.299028e-08
0.79751.3240674.290100e-08
0.798751.324054.188770e-08
0.7994711.324044.203555e-08
0.81.3240324.214420e-08
0.801251.3240154.386790e-08
0.8018051.3240074.270845e-08
0.80251.3239984.125420e-08
0.803751.323984.176610e-08
0.8041451.3239754.265779e-08
0.8051.3239634.458570e-08
0.806251.3239464.305090e-08
0.8064931.3239434.322623e-08
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1.23251.3196463.236610e-07
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1.258751.3194268.464210e-07
1.259811.3194178.760139e-07
1.261.3194158.813520e-07
1.261251.3194059.404400e-07
1.26251.3193959.785440e-07
1.263491.3193861.023772e-06
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1.2651.3193741.067050e-06
1.266251.3193631.138640e-06
1.267181.3193561.161882e-06
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1.268751.3193431.231760e-06
1.271.3193321.273400e-06
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1.27251.3193111.367040e-06
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1.2751.319291.471190e-06
1.276251.319281.523410e-06
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1.28251.3192281.786020e-06
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1.2851.3192071.891760e-06
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1.286251.3191971.944770e-06
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1.289531.319172.087201e-06
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1.2951.3191242.277470e-06
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1.343251.3187262.595310e-06
1.343751.3187222.587760e-06
1.3451.3187122.568760e-06
1.346251.3187012.560430e-06
1.347171.3186942.538415e-06
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1.351.318672.481620e-06
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1.35251.318652.432400e-06
1.353751.318642.413110e-06
1.3551.3186292.372200e-06
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1.356251.3186192.363600e-06
1.35751.3186092.311770e-06
1.358751.3185992.292270e-06
1.359011.3185962.286024e-06
1.361.3185882.261910e-06
1.361251.3185782.231490e-06
1.36251.3185682.190170e-06
1.362971.3185642.178569e-06
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1.3651.3185472.129020e-06
1.366251.3185372.098350e-06
1.366951.3185312.074924e-06
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1.368751.3185162.025940e-06
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1.381.3184241.735110e-06
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1.38251.3184031.650240e-06
1.382991.3183991.633671e-06
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1.386251.3183731.555430e-06
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1.391.3183421.482210e-06
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1.39251.3183211.440550e-06
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1.4051.3182191.241050e-06
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1.408751.3181881.154680e-06
1.411.3181781.133260e-06
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1.416251.3181261.025580e-06
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1.418751.3181069.923960e-07
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1.421.3180969.729300e-07
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1.423751.3180659.256480e-07
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1.426251.3180448.943590e-07
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1.478751.3176138.154890e-07
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1.481.3176038.279560e-07
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1.483211.3175778.455847e-07
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1.4851.3175628.591140e-07
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1.488751.3175318.885320e-07
1.491.3175219.070640e-07
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1.49251.31759.264010e-07
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1.4951.317489.493670e-07
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1.49751.3174599.771720e-07
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1.51.3174381.003870e-06
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1.5251.3172321.808200e-06
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1.5451.3170673.798684e-06
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1.546251.3170573.974410e-06
1.54751.3170464.125400e-06
1.548751.3170364.301270e-06
1.549511.317034.400479e-06
1.551.3170264.465090e-06
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1.55251.3170054.818220e-06
1.553751.3169954.995200e-06
1.554031.3169925.034999e-06
1.5551.3169845.172460e-06
1.556251.3169745.349990e-06
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1.558751.3169535.656290e-06
1.561.3169435.822210e-06
1.561251.3169325.951110e-06
1.56251.3169226.080220e-06
1.563121.3169176.144108e-06
1.563751.3169126.209520e-06
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1.566251.3168916.431330e-06
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1.568751.316876.603890e-06
1.571.316866.696600e-06
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1.581251.3167667.197580e-06
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1.58751.3167147.352360e-06
1.588751.3167047.370790e-06
1.591.3166947.414550e-06
1.59071.3166887.424884e-06
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1.593751.3166627.495450e-06
1.5951.3166527.526720e-06
1.595341.3166497.535297e-06
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1.59751.3166317.602080e-06
1.598751.3166217.633470e-06
1.61.316617.664900e-06

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
—