Optical constants

Refractive index of SrTiO3 (Strontium titanate, STO)

Wöhlecke et al. 1977: Amorphous; n 0.3–1.0 µm

Data
formula 1
Range
0.3–1 µm
Temperature
300 K
State
amorphous
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–1 µm
Refractive index n
2.00625
Extinction coefficient k
0
Permittivity ε1
4.02506
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
22.43
Chromatic dispersion dn/dλ
-0.227102 µm⁻¹
Group index ng
2.1397
Group velocity dispersion
456.486 fs²/mm
Dispersion parameter D
-2490.38 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

# SrTiO3 (Strontium titanate, STO): Wöhlecke et al. 1977: Amorphous; n 0.3–1.0 µm
srtio3 = ls.fetch_refractiveindex("main", "SrTiO3", "Wohlecke-a", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(srtio3.range_nm)  # (300, 1000) nm
eps = srtio3.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 (formula 1), λ in µm
n2−1=2.7791λ2λ2−0.167552

Valid from 0.3 to 1.0 µm.

Coefficients as stored
CiValue
C10.0
C22.7791
C30.16755

Comments and conditions

Amorphous 1–4 µm thin film. Prepared by RF sputter deposition at 300 K substrate temperature.

Conditions

temperature
300 K

References

M. Wöhlecke, V. Marrello, A. Onton. Refractive index of BaTiO3 and SrTiO3 films. J. Appl. Phys. 48, 1748–1750 (1977)

Cite

M. Wöhlecke, V. Marrello and A. Onton. Refractive index of BaTiO3 and SrTiO3 films. Journal of Applied Physics, 48, 1748-1750 (1977), doi:10.1063/1.323822; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 wavelengths, the same grid as the API and the library
SrTiO3 (Strontium titanate, STO), Wöhlecke et al. 1977: Amorphous; n 0.3–1.0 µm: n and k versus wavelength
λ (µm)n
0.32.244757
0.3009072.242308
0.3018162.239885
0.3027282.237487
0.3036432.235113
0.3045612.232764
0.3054812.230438
0.3064042.228136
0.307332.225857
0.3082592.223602
0.309192.221368
0.3101252.219158
0.3110622.216969
0.3120022.214802
0.3129452.212656
0.3138912.210532
0.3148392.208428
0.3157912.206346
0.3167452.204283
0.3177022.202241
0.3186622.200218
0.3196252.198215
0.3205912.196232
0.321562.194267
0.3225322.192321
0.3235072.190394
0.3244842.188486
0.3254652.186595
0.3264482.184722
0.3274352.182868
0.3284242.18103
0.3294172.17921
0.3304122.177407
0.3314112.175621
0.3324122.173851
0.3334172.172098
0.3344252.170361
0.3354352.16864
0.3364492.166935
0.3374662.165246
0.3384862.163572
0.3395082.161913
0.3405352.16027
0.3415642.158642
0.3425962.157028
0.3436312.155429
0.344672.153844
0.3457112.152274
0.3467562.150717
0.3478042.149175
0.3488552.147646
0.3499092.146131
0.3509672.144629
0.3520272.143141
0.3530912.141666
0.3541582.140204
0.3552282.138755
0.3563022.137318
0.3573792.135894
0.3584592.134483
0.3595422.133083
0.3606292.131696
0.3617182.130321
0.3628122.128958
0.3639082.127607
0.3650082.126267
0.3661112.124939
0.3672172.123622
0.3683272.122317
0.369442.121022
0.3705562.119739
0.3716762.118466
0.3727992.117204
0.3739262.115953
0.3750562.114713
0.376192.113483
0.3773262.112263
0.3784672.111054
0.379612.109855
0.3807582.108665
0.3819082.107486
0.3830622.106316
0.384222.105156
0.3853812.104006
0.3865462.102865
0.3877142.101734
0.3888862.100612
0.3900612.099499
0.391242.098396
0.3924222.097301
0.3936082.096215
0.3947972.095138
0.3959912.09407
0.3971872.093011
0.3983882.09196
0.3995912.090918
0.4007992.089884
0.402012.088859
0.4032252.087841
0.4044442.086832
0.4056662.085831
0.4068922.084838
0.4081222.083853
0.4093552.082876
0.4105922.081907
0.4118332.080945
0.4130772.079991
0.4143262.079044
0.4155782.078105
0.4168342.077174
0.4180932.07625
0.4193572.075333
0.4206242.074423
0.4218952.07352
0.423172.072625
0.4244492.071736
0.4257322.070854
0.4270182.06998
0.4283092.069112
0.4296032.068251
0.4309022.067396
0.4322042.066548
0.433512.065707
0.434822.064872
0.4361342.064043
0.4374522.063221
0.4387742.062406
0.44012.061596
0.441432.060793
0.4427642.059996
0.4441022.059205
0.4454442.05842
0.446792.057641
0.448142.056867
0.4494952.0561
0.4508532.055339
0.4522162.054583
0.4535822.053833
0.4549532.053089
0.4563282.05235
0.4577072.051617
0.459092.05089
0.4604782.050167
0.4618692.049451
0.4632652.048739
0.4646652.048033
0.4660692.047332
0.4674782.046637
0.468892.045947
0.4703072.045261
0.4717292.044581
0.4731542.043906
0.4745842.043236
0.4760182.042571
0.4774572.041911
0.47892.041255
0.4803472.040605
0.4817992.039959
0.4832552.039318
0.4847152.038682
0.486182.03805
0.4876492.037423
0.4891232.036801
0.4906012.036183
0.4920842.03557
0.4935712.034961
0.4950622.034356
0.4965582.033756
0.4980592.033161
0.4995642.032569
0.5010742.031982
0.5025882.031399
0.5041072.030821
0.505632.030246
0.5071582.029676
0.5086912.02911
0.5102282.028548
0.511772.02799
0.5133172.027436
0.5148682.026886
0.5164242.02634
0.5179852.025798
0.519552.025259
0.521122.024725
0.5226952.024194
0.5242752.023667
0.5258592.023144
0.5274482.022625
0.5290422.022109
0.5306412.021597
0.5322442.021088
0.5338532.020584
0.5354662.020082
0.5370842.019585
0.5387082.019091
0.5403352.0186
0.5419682.018113
0.5436062.017629
0.5452492.017148
0.5468972.016671
0.548552.016198
0.5502072.015727
0.551872.01526
0.5535382.014797
0.5552112.014336
0.5568882.013879
0.5585712.013425
0.5602592.012974
0.5619532.012526
0.5636512.012081
0.5653542.01164
0.5670632.011201
0.5687762.010766
0.5704952.010333
0.5722192.009904
0.5739492.009477
0.5756832.009054
0.5774232.008633
0.5791682.008216
0.5809182.007801
0.5826742.007389
0.5844342.00698
0.5862012.006573
0.5879722.00617
0.5897492.005769
0.5915312.005371
0.5933192.004976
0.5951122.004584
0.596912.004194
0.5987142.003807
0.6005242.003422
0.6023382.00304
0.6041592.002661
0.6059842.002284
0.6078162.00191
0.6096532.001539
0.6114952.00117
0.6133432.000803
0.6151962.000439
0.6170562.000078
0.618921.999719
0.6207911.999362
0.6226671.999008
0.6245491.998656
0.6264361.998307
0.6283291.997959
0.6302281.997615
0.6321321.997272
0.6340431.996932
0.6359591.996594
0.6378811.996259
0.6398081.995926
0.6417421.995595
0.6436811.995266
0.6456271.994939
0.6475781.994615
0.6495351.994293
0.6514981.993973
0.6534661.993655
0.6554411.993339
0.6574221.993025
0.6594091.992714
0.6614021.992404
0.66341.992097
0.6654051.991792
0.6674161.991488
0.6694331.991187
0.6714561.990888
0.6734851.990591
0.675521.990295
0.6775621.990002
0.679611.989711
0.6816631.989421
0.6837231.989134
0.685791.988848
0.6878621.988564
0.6899411.988283
0.6920261.988003
0.6941171.987725
0.6962151.987448
0.6983191.987174
0.7004291.986901
0.7025461.98663
0.7046691.986361
0.7067981.986094
0.7089341.985829
0.7110771.985565
0.7132261.985303
0.7153811.985043
0.7175431.984784
0.7197111.984527
0.7218861.984272
0.7240681.984019
0.7262561.983767
0.7284511.983517
0.7306521.983268
0.732861.983021
0.7350751.982776
0.7372971.982532
0.7395251.98229
0.741761.98205
0.7440011.981811
0.746251.981573
0.7485051.981338
0.7507671.981103
0.7530361.980871
0.7553111.980639
0.7575941.98041
0.7598831.980181
0.762181.979955
0.7644831.979729
0.7667931.979506
0.7691111.979283
0.7714351.979062
0.7737661.978843
0.7761051.978625
0.778451.978408
0.7808031.978193
0.7831621.977979
0.7855291.977767
0.7879031.977556
0.7902841.977346
0.7926721.977138
0.7950681.976931
0.797471.976725
0.799881.976521
0.8022981.976318
0.8047221.976116
0.8071541.975916
0.8095931.975717
0.812041.975519
0.8144941.975323
0.8169551.975127
0.8194241.974933
0.8219011.974741
0.8243841.974549
0.8268761.974359
0.8293741.97417
0.8318811.973982
0.8343951.973795
0.8369161.97361
0.8394461.973426
0.8419821.973243
0.8445271.973061
0.8470791.97288
0.8496391.972701
0.8522071.972522
0.8547821.972345
0.8573651.972169
0.8599561.971994
0.8625551.97182
0.8651621.971647
0.8677761.971476
0.8703991.971305
0.8730291.971136
0.8756671.970967
0.8783141.9708
0.8809681.970634
0.883631.970469
0.8863011.970304
0.8889791.970141
0.8916661.969979
0.894361.969818
0.8970631.969658
0.8997741.969499
0.9024931.969342
0.9052211.969185
0.9079561.969029
0.91071.968874
0.9134521.96872
0.9162131.968567
0.9189811.968415
0.9217591.968264
0.9245441.968114
0.9273381.967965
0.9301411.967816
0.9329521.967669
0.9357711.967523
0.9385991.967377
0.9414351.967233
0.944281.967089
0.9471341.966947
0.9499961.966805
0.9528671.966664
0.9557471.966524
0.9586351.966385
0.9615321.966247
0.9644381.96611
0.9673531.965973
0.9702761.965838
0.9732081.965703
0.9761491.965569
0.9790991.965436
0.9820581.965304
0.9850261.965173
0.9880031.965042
0.9909881.964912
0.9939831.964784
0.9969871.964655
11.964528

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
—