Optical constants

Refractive index of TiO2 (Titanium dioxide)

Sarkar et al. 2019: Thin film; n,k 0.30–1.69 µm

Data
tabulated nk
Range
0.3–1.69 µm
Points
977
Licence
CC0-1.0
Lightsmith
bundled

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–1.69 µm
Refractive index n
2.14661
Extinction coefficient k
0
Permittivity ε1
4.60793
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.415 µm⁻¹
Group index ng
2.39046
Group velocity dispersion
— fs²/mm
Dispersion parameter D
— 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

# TiO2 (Titanium dioxide): Sarkar et al. 2019: Thin film; n,k 0.30–1.69 µm
tio2 = ls.LibraryMaterial(name="TiO2", dataset="Sarkar")
print(tio2.range_nm)  # (300, 1690) nm
eps = tio2.eps([633])  # complex permittivity

Ships with the library: works offline.

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

Titanium(IV) oxide (Titanium dioxide, TiO2) thin film (thickness 200 nm) on glass substrate.

References

S. Sarkar, V. Gupta, M. Kumar, J. Schubert, P.T. Probst, J. Joseph, T.A.F. König. Hybridized guided-mode resonances via colloidal plasmonic self-assembled grating. ACS Appl. Mater. Interfaces, 11, 13752-13760 (2019) (Numerical data kindly provided by Dr. Tobias König)
  • doi:10.1021/acsami.8b20535 Hybridized Guided-Mode Resonances via Colloidal Plasmonic Self-Assembled Grating, ACS Applied Materials & Interfaces (2019)

Cite

Swagato Sarkar et al.. Hybridized Guided-Mode Resonances via Colloidal Plasmonic Self-Assembled Grating. ACS Applied Materials & Interfaces, 11, 13752-13760 (2019), doi:10.1021/acsami.8b20535; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

977 rows as published
TiO2 (Titanium dioxide), Sarkar et al. 2019: Thin film; n,k 0.30–1.69 µm: n and k versus wavelength
λ (µm)nk
0.32.8099820.592784
0.3012.8134190.57775
0.3022.8164470.562667
0.3032.8190650.54755
0.3042.8212710.532415
0.3052.8230660.517277
0.3062.824450.502151
0.3072.8254240.487053
0.3082.825990.471999
0.3092.8261510.457002
0.312.8259110.44208
0.3112.8252730.427245
0.3122.8242410.412513
0.3132.8228230.397898
0.3142.8210220.383415
0.3152.8188470.369075
0.3162.8163030.354894
0.3172.81340.340882
0.3182.8101450.327054
0.3192.8065460.313421
0.322.8026130.299994
0.3212.7983570.286784
0.3222.7937850.273802
0.3232.7889090.261057
0.3242.783740.24856
0.3252.7782890.236318
0.3262.7725660.224341
0.3272.7665830.212636
0.3282.7603520.201211
0.3292.7538860.190071
0.332.7471940.179225
0.3312.7402910.168676
0.3322.7331880.158431
0.3332.7258970.148493
0.3342.7184310.138869
0.3352.7108030.12956
0.3362.7030240.12057
0.3372.6951070.111903
0.3382.6870650.10356
0.3392.678910.095544
0.342.6706540.087855
0.3412.662310.080496
0.3422.653890.073466
0.3432.6454060.066767
0.3442.6368720.060398
0.3452.6282980.054359
0.3462.6196970.04865
0.3472.6110820.043269
0.3482.6024640.038216
0.3492.5938560.033488
0.352.5852710.029085
0.3512.576720.025004
0.3522.5682170.021243
0.3532.5597740.0178
0.3542.5514050.014672
0.3552.5431230.011855
0.3562.5349410.009348
0.3572.5268750.007147
0.3582.5189410.005249
0.3592.5111550.00365
0.362.5035370.002345
0.3612.4961090.001333
0.3622.4888990.000607
0.3632.4819420.000165
0.3642.4753021e-06
0.3652.4691050.0
0.3662.4632450.0
0.3672.4576440.0
0.3682.4522650.0
0.3692.4470810.0
0.372.4420750.0
0.3712.437230.0
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0.382.39930.0
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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
—