Optical constants

Refractive index of BaTiO3 (Barium titanate)

Timpu et al. 2019: n 0.4–0.8 µm

Data
tabulated n
Range
0.35–0.8 µm
Points
150
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.35–0.8 µm
Refractive index n
2.29432
Extinction coefficient k
0
Permittivity ε1
5.26392
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.529801 µm⁻¹
Group index ng
2.60564
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

# BaTiO3 (Barium titanate): Timpu et al. 2019: n 0.4–0.8 µm
batio3 = ls.fetch_refractiveindex("main", "BaTiO3", "Timpu", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(batio3.range_nm)  # (350, 800) nm
eps = batio3.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.

Comments and conditions

Pulsed laser deposition (PLD) grown BaTiO3.

Conditions

film thickness
220e-9
substrate
glass
deposition temperature
923

References

F. Timpu, M. R. Escalé, M. Timofeeva, N. Strkalj, M. Trassin, M. Fiebig, R. Grange. Enhanced nonlinear yield from barium titanate metasurface down to the near ultraviolet. Adv. Opt. Mater. 7, 1900936 (2019) (Data points extracted from a figure)
  • doi:10.1002/adom.201900936 Enhanced Nonlinear Yield from Barium Titanate Metasurface Down to the Near Ultraviolet, Advanced Optical Materials (2019)

Cite

Flavia Timpu et al.. Enhanced Nonlinear Yield from Barium Titanate Metasurface Down to the Near Ultraviolet. Advanced Optical Materials, 7, 1900936 (2019), doi:10.1002/adom.201900936; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

150 rows as published
BaTiO3 (Barium titanate), Timpu et al. 2019: n 0.4–0.8 µm: n and k versus wavelength
λ (µm)n
0.352.6629
0.353022.6568
0.356042.6447
0.359062.6329
0.362082.6201
0.36512.6087
0.368122.5983
0.371142.5882
0.374162.5777
0.377182.5679
0.38022.5586
0.383222.55
0.386242.5413
0.389262.5327
0.392282.5254
0.39532.5181
0.398322.5108
0.401342.5039
0.404362.4981
0.407382.4922
0.41042.4858
0.413422.4794
0.416442.4732
0.419462.467
0.422482.4615
0.42552.456
0.428522.4506
0.431542.4452
0.434562.44
0.437582.435
0.44062.4301
0.443622.4256
0.446642.421
0.449662.4164
0.452682.4119
0.45572.4079
0.458722.404
0.461742.4
0.464772.396
0.467792.3922
0.470812.3886
0.473832.385
0.476852.3815
0.479872.378
0.482892.3746
0.485912.3713
0.488932.3681
0.491952.365
0.494972.362
0.497992.3589
0.501012.356
0.504032.3531
0.507052.3504
0.510072.3478
0.513092.3452
0.516112.3424
0.519132.3398
0.522152.3375
0.525172.3352
0.528192.3329
0.531212.3305
0.534232.3281
0.537252.3258
0.540272.3236
0.543292.3215
0.546312.3194
0.549332.3173
0.552352.3153
0.555372.3134
0.558392.3114
0.561412.3094
0.564432.3075
0.567452.3056
0.570472.3038
0.573492.3022
0.576512.3005
0.579532.2988
0.582552.297
0.585572.2954
0.588592.2938
0.591612.2923
0.594632.2908
0.597652.2892
0.600672.2875
0.603692.2858
0.606712.2846
0.609732.2833
0.612752.282
0.615772.2806
0.618792.2794
0.621812.2782
0.624832.2769
0.627852.2755
0.630872.2741
0.633892.2727
0.636912.2714
0.639932.2703
0.642952.2693
0.645972.2681
0.648992.267
0.652012.2659
0.655032.2647
0.658052.2636
0.661072.2624
0.664092.2614
0.667112.2604
0.670132.2594
0.673152.2584
0.676172.2574
0.679192.2564
0.682212.2554
0.685232.2545
0.688262.2536
0.691282.2525
0.69432.2513
0.697322.2506
0.700342.25
0.703362.2492
0.706382.2482
0.70942.2472
0.712422.2464
0.715442.2456
0.718462.2448
0.721482.2441
0.72452.2432
0.727522.2424
0.730542.2416
0.733562.2409
0.736582.2403
0.73962.2398
0.742622.2389
0.745642.2379
0.748662.2371
0.751682.2364
0.75472.2358
0.757722.2353
0.760742.2348
0.763762.2339
0.766782.2331
0.76982.2323
0.772822.2315
0.775842.231
0.778862.2306
0.781882.2301
0.78492.2296
0.787922.229
0.790942.2283
0.793962.2278
0.796982.2275
0.82.2274

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
—