Optical constants

Refractive index of YbF3 (Ytterbium trifluoride)

Amotchkina et al, 2020: Thin film; n 0.4–14 µm, k 9.0–14 µm

Data
formula 5 + tabulated k
Range
0.4–14 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 9016.8-13975 nm only; k = 0 elsewhere in the n range 400-14000 nm.

At one wavelength

Range 0.4–14 µm
Refractive index n
1.50668
Extinction coefficient k
0
Permittivity ε1
2.27009
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
15.366
Chromatic dispersion dn/dλ
-0.150526 µm⁻¹
Group index ng
1.59513
Group velocity dispersion
459.513 fs²/mm
Dispersion parameter D
-2506.89 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

# YbF3 (Ytterbium trifluoride): Amotchkina et al, 2020: Thin film; n 0.4–14 µm, k 9.0–14 µm
ybf3 = ls.fetch_refractiveindex("main", "YbF3", "Amotchkina", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ybf3.range_nm)  # (400, 14000) nm
eps = ybf3.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

Cauchy (formula 5), λ in µm
n=1.484489+5.4996×10-5⁢λ−2.0+0.0026266⁢λ−4.0

Valid from 0.4 to 14.0 µm.

Coefficients as stored
CiValue
C11.484489
C25.4996e-05
C3-2.0
C40.0026266
C5-4.0

Comments and conditions

1.95 µm YbF3 film deposited on 1 mm thick ZnSe substratee by e-beam evaporation at 120 °C substrate temperature.

Conditions

substrate
ZnSe
film thickness
1.95e-6
Notes on the source data (kept exactly as published):
  • k data cover 9016.8-13975 nm only; k = 0 elsewhere in the n range 400-14000 nm

References

T. Amotchkina, M. Trubetskov, D. Hahner, V. Pervak. Characterization of e-beam evaporated Ge, YbF3, ZnS, and LaF3 thin films for laser-oriented coatings. Appl. Opt. 59, A40-A47 (2020) (Data kindly provided by Tatiana Amotchkina [data] [description])
  • doi:10.1364/ao.59.000a40 Characterization of e-beam evaporated Ge, YbF <sub>3</sub> , ZnS, and LaF <sub>3</sub> thin films for laser-oriented coatings, Applied Optics (2019)

Cite

Tatiana Amotchkina, Michael Trubetskov, Daniel Hahner and Vladimir Pervak. Characterization of e-beam evaporated Ge, YbF <sub>3</sub> , ZnS, and LaF <sub>3</sub> thin films for laser-oriented coatings. Applied Optics, 59, A40 (2019), doi:10.1364/ao.59.000a40; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 649 wavelengths, the same grid as the API and the library
YbF3 (Ytterbium trifluoride), Amotchkina et al, 2020: Thin film; n 0.4–14 µm, k 9.0–14 µm: n and k versus wavelength
λ (µm)nk
0.41.5874340
0.403581.5838360
0.4071921.5803630
0.4108371.5770120
0.4145141.5737780
0.4182241.5706570
0.4219681.5676450
0.4257441.5647390
0.4295551.5619340
0.43341.5592270
0.4372791.5566160
0.4411931.5540950
0.4451421.5516630
0.4491261.5493150
0.4531461.547050
0.4572021.5448640
0.4612941.5427550
0.4654221.5407190
0.4695881.5387550
0.4737911.5368590
0.4780321.5350290
0.4823111.5332640
0.4866271.531560
0.4909831.5299160
0.4953771.5283290
0.4998111.5267980
0.5042851.5253210
0.5087981.5238950
0.5133521.5225190
0.5179471.5211910
0.5225831.5199090
0.527261.5186720
0.531981.5174790
0.5367411.5163270
0.5415451.5152160
0.5463921.5141430
0.5512831.5131080
0.5562171.5121090
0.5611951.5111450
0.5662181.5102140
0.5712861.5093170
0.57641.508450
0.5815591.5076140
0.5867641.5068070
0.5920161.5060290
0.5973141.5052770
0.6026611.5045520
0.6080551.5038520
0.6134971.5031770
0.6189881.5025250
0.6245281.5018960
0.6301181.5012890
0.6357581.5007030
0.6414481.5001370
0.647191.4995920
0.6529821.4990650
0.6588271.4985570
0.6647241.4980670
0.6706731.4975940
0.6766761.4971370
0.6827331.4966960
0.6888431.4962710
0.6950091.495860
0.701231.4954640
0.7075061.4950820
0.7138381.4947130
0.7202281.4943560
0.7266741.4940130
0.7331781.4936810
0.739741.4933610
0.7463611.4930520
0.7530421.4927540
0.7597821.4924660
0.7665821.4921890
0.7734431.4919210
0.7803661.4916620
0.7873511.4914120
0.7943981.4911720
0.8015081.4909390
0.8086821.4907150
0.815921.4904980
0.8232231.4902890
0.8305911.4900880
0.8380251.4898930
0.8455261.4897050
0.8530941.4895240
0.8607291.4893490
0.8684331.489180
0.8762061.4890170
0.8840491.488860
0.8919611.4887080
0.8999451.4885610
0.9081.488420
0.9161271.4882830
0.9243261.4881520
0.93261.4880240
0.9409471.4879020
0.9493691.4877830
0.9578661.4876690
0.9664391.4875590
0.9750891.4874520
0.9838171.487350
0.9926231.487250
1.001511.4871550
1.010471.4870620
1.019521.4869730
1.028641.4868870
1.037851.4868040
1.047141.4867240
1.056511.4866460
1.065961.4865720
1.075511.48650
1.085131.486430
1.094841.4863630
1.104641.4862980
1.114531.4862360
1.124511.4861750
1.134571.4861170
1.144731.4860610
1.154971.4860060
1.165311.4859540
1.175741.4859030
1.186261.4858540
1.196881.4858070
1.207591.4857620
1.21841.4857180
1.229311.4856760
1.240311.4856350
1.251411.4855950
1.262611.4855570
1.273911.485520
1.285321.4854850
1.296821.485450
1.308431.4854170
1.320141.4853850
1.331951.4853550
1.343871.4853250
1.35591.4852960
1.368041.4852680
1.380281.4852420
1.392641.4852160
1.40511.4851910
1.417681.4851670
1.430371.4851430
1.443171.4851210
1.456091.4850990
1.469121.4850780
1.482271.4850580
1.495541.4850390
1.508921.485020
1.522431.4850020
1.536051.4849840
1.54981.4849670
1.563671.4849510
1.577671.4849350
1.591791.484920
1.606041.4849050
1.620411.4848910
1.634921.4848770
1.649551.4848640
1.664311.4848510
1.679211.4848390
1.694241.4848270
1.70941.4848150
1.72471.4848040
1.740141.4847940
1.755721.4847830
1.771431.4847730
1.787291.4847640
1.803281.4847540
1.819421.4847450
1.835711.4847370
1.852141.4847280
1.868721.484720
1.885441.4847120
1.902321.4847050
1.919341.4846970
1.936521.484690
1.953861.4846840
1.971341.4846770
1.988991.4846710
2.006791.4846650
2.024751.4846590
2.042871.4846530
2.061161.4846470
2.079611.4846420
2.098221.4846370
2.1171.4846320
2.135951.4846270
2.155071.4846230
2.174361.4846180
2.193821.4846140
2.213451.484610
2.233261.4846060
2.253251.4846020
2.273421.4845980
2.293771.4845940
2.31431.4845910
2.335011.4845870
2.355911.4845840
2.3771.4845810
2.398271.4845780
2.419741.4845750
2.44141.4845720
2.463251.4845690
2.48531.4845670
2.507541.4845640
2.529981.4845620
2.552631.4845590
2.575481.4845570
2.598531.4845550
2.621791.4845530
2.645251.4845510
2.668931.4845480
2.692821.4845470
2.716921.4845450
2.741241.4845430
2.765771.4845410
2.790531.4845390
2.81551.4845380
2.84071.4845360
2.866131.4845350
2.891781.4845330
2.917661.4845320
2.943781.484530
2.970131.4845290
2.996711.4845280
3.023531.4845260
3.05061.4845250
3.07791.4845240
3.105451.4845230
3.133241.4845220
3.161291.4845210
3.189581.484520
3.218131.4845190
3.246931.4845180
3.2761.4845170
3.305321.4845160
3.33491.4845150
3.364751.4845140
3.394871.4845140
3.425251.4845130
3.455911.4845120
3.486841.4845110
3.518051.4845110
3.549541.484510
3.581311.4845090
3.613361.4845090
3.64571.4845080
3.678341.4845070
3.711261.4845070
3.744481.4845060
3.777991.4845060
3.811811.4845050
3.845921.4845050
3.880351.4845040
3.915081.4845040
3.950121.4845030
3.985471.4845030
4.021151.4845020
4.057141.4845020
4.093451.4845020
4.130091.4845010
4.167051.4845010
4.204351.4845010
4.241981.48450
4.279951.48450
4.318261.48450
4.356911.4844990
4.39591.4844990
4.435251.4844990
4.474951.4844980
4.5151.4844980
4.555411.4844980
4.596181.4844970
4.637321.4844970
4.678831.4844970
4.720711.4844970
4.762961.4844970
4.805591.4844960
4.84861.4844960
4.8921.4844960
4.935781.4844960
4.979961.4844950
5.024541.4844950
5.069511.4844950
5.114881.4844950
5.160661.4844950
5.206851.4844950
5.253461.4844940
5.300481.4844940
5.347921.4844940
5.395791.4844940
5.444081.4844940
5.492811.4844940
5.541971.4844940
5.591571.4844930
5.641621.4844930
5.692121.4844930
5.743061.4844930
5.794471.4844930
5.846331.4844930
5.898661.4844930
5.951451.4844930
6.004721.4844930
6.058471.4844920
6.112691.4844920
6.16741.4844920
6.22261.4844920
6.27831.4844920
6.334491.4844920
6.391191.4844920
6.448391.4844920
6.506111.4844920
6.564341.4844920
6.62311.4844920
6.682381.4844920
6.742191.4844910
6.802531.4844910
6.863421.4844910
6.924851.4844910
6.986831.4844910
7.049361.4844910
7.112461.4844910
7.176121.4844910
7.240351.4844910
7.305151.4844910
7.370541.4844910
7.436511.4844910
7.503071.4844910
7.570221.4844910
7.637981.4844910
7.706341.4844910
7.775321.4844910
7.844911.4844910
7.915131.4844910
7.985971.4844910
8.057451.484490
8.129571.484490
8.202331.484490
8.275751.484490
8.349821.484490
8.424551.484490
8.499961.484490
8.576041.484490
8.65281.484490
8.730241.484490
8.808381.484490
8.887221.484490
8.966771.484490
9.01681.484490
9.036791.484493.860000e-06
9.047021.484496.977189e-06
9.056781.484499.950000e-06
9.076771.484491.600000e-05
9.096771.484493.980000e-05
9.116761.484496.400000e-05
9.1281.484498.136986e-05
9.136751.484499.490000e-05
9.156741.484490.000141
9.176741.484490.000186
9.196731.484490.000243
9.20971.484490.0002838659
9.216721.484490.000306
9.236711.484490.000369
9.256711.484490.00044
9.27671.484490.000511
9.292131.484490.00056734
9.296691.484490.000584
9.316681.484490.00066
9.336681.484490.000735
9.356671.484490.000814
9.37531.484490.0008885443
9.376661.484490.000894
9.396651.484490.000974
9.416651.484490.00106
9.436641.484490.00114
9.456631.484490.00123
9.459211.484490.001241616
9.476621.484490.00132
9.496621.484490.00141
9.516611.484490.0015
9.53661.484490.0016
9.543871.484490.001636372
9.55661.484490.0017
9.576591.484490.00181
9.596581.484490.00192
9.616571.484490.00204
9.62931.484490.002116359
9.636571.484490.00216
9.656561.484490.00227
9.676551.484490.0024
9.696541.484490.00253
9.715481.484490.00265313
9.716541.484490.00266
9.736531.484490.0028
9.756521.484490.00293
9.776511.484490.00307
9.796511.484490.00322
9.802441.484490.003261539
9.81651.484490.00336
9.836491.484490.00351
9.856481.484490.00366
9.876481.484490.00381
9.890181.484490.003912784
9.896471.484490.00396
9.916461.484490.00412
9.936451.484490.00428
9.956451.484490.00444
9.976441.484490.00461
9.97871.484490.004628084
9.996431.484490.00477
10.01641.484490.00494
10.03641.484490.00511
10.05641.484490.00528
10.0681.484490.005378713
10.07641.484490.00545
10.09641.484490.00563
10.11641.484490.00581
10.13641.484490.00599
10.15641.484490.00617
10.15811.484490.00618554
10.17641.484490.00635
10.19641.484490.00654
10.21631.484490.00673
10.23631.484490.00692
10.2491.484490.007041093
10.25631.484490.00711
10.27631.484490.0073
10.29631.484490.0075
10.31631.484490.0077
10.33631.484490.00791
10.34081.484490.007954804
10.35631.484490.00811
10.37631.484490.00833
10.39631.484490.00855
10.41631.484490.00877
10.43331.484490.008957387
10.43631.484490.00899
10.45631.484490.00922
10.47631.484490.00946
10.49621.484490.0097
10.51621.484490.00993
10.52671.484490.010072
10.53621.484490.0102
10.55621.484490.0104
10.57621.484490.0107
10.59621.484490.0109
10.61621.484490.0112
10.62091.484490.01124737
10.63621.484490.0114
10.65621.484490.0117
10.67621.484490.012
10.69621.484490.0122
10.7161.484490.012497
10.71621.484490.0125
10.73621.484490.0127
10.75611.484490.013
10.77611.484490.0133
10.79611.484490.0135
10.81191.484490.01373719
10.81611.484490.0138
10.83611.484490.0141
10.85611.484490.0144
10.87611.484490.0146
10.89611.484490.0149
10.90871.484490.01508877
10.91611.484490.0152
10.93611.484490.0155
10.95611.484490.0158
10.97611.484490.0161
10.99611.484490.0163
11.00631.484490.01645334
11.01611.484490.0166
11.0361.484490.0169
11.0561.484490.0172
11.0761.484490.0175
11.0961.484490.0179
11.10481.484490.01803251
11.1161.484490.0182
11.1361.484490.0185
11.1561.484490.0188
11.1761.484490.0191
11.1961.484490.0194
11.20421.484490.01952341
11.2161.484490.0197
11.2361.484490.02
11.2561.484490.0203
11.2761.484490.0206
11.29591.484490.0209
11.30451.484490.02102916
11.31591.484490.0212
11.33591.484490.0215
11.35591.484490.0218
11.37591.484490.0221
11.39591.484490.0224
11.40571.484490.02259582
11.41591.484490.0228
11.43591.484490.0231
11.45591.484490.0234
11.47591.484490.0237
11.49591.484490.0241
11.50781.484490.02427816
11.51591.484490.0244
11.53591.484490.0247
11.55591.484490.025
11.57581.484490.0254
11.59581.484490.0257
11.61081.484490.02599955
11.61581.484490.0261
11.63581.484490.0264
11.65581.484490.0268
11.67581.484490.0271
11.69581.484490.0275
11.71471.484490.02787798
11.71581.484490.0279
11.73581.484490.0282
11.75581.484490.0286
11.77581.484490.029
11.79581.484490.0293
11.81581.484490.0297
11.81961.484490.02975655
11.83571.484490.03
11.85571.484490.0304
11.87571.484490.0307
11.89571.484490.0311
11.91571.484490.0314
11.92531.484490.03159283
11.93571.484490.0318
11.95571.484490.0321
11.97571.484490.0325
11.99571.484490.0328
12.01571.484490.0331
12.03211.484490.03334569
12.03571.484490.0334
12.05571.484490.0338
12.07571.484490.0341
12.09571.4844890.0344
12.11561.4844890.0347
12.13561.4844890.0351
12.13981.4844890.03516258
12.15561.4844890.0354
12.17561.4844890.0357
12.19561.4844890.0361
12.21561.4844890.0364
12.23561.4844890.0368
12.24841.4844890.03699242
12.25561.4844890.0371
12.27561.4844890.0375
12.29561.4844890.0379
12.31561.4844890.0382
12.33561.4844890.0386
12.35561.4844890.039
12.35811.4844890.0390494
12.37551.4844890.0394
12.39551.4844890.0398
12.41551.4844890.0402
12.43551.4844890.0406
12.45551.4844890.041
12.46871.4844890.04126336
12.47551.4844890.0414
12.49551.4844890.0418
12.51551.4844890.0422
12.53551.4844890.0426
12.55551.4844890.043
12.57551.4844890.0434
12.58031.4844890.04349536
12.59551.4844890.0438
12.61551.4844890.0442
12.63541.4844890.0446
12.65541.4844890.045
12.67541.4844890.0454
12.69291.4844890.04574935
12.69541.4844890.0458
12.71541.4844890.0462
12.73541.4844890.0466
12.75541.4844890.047
12.77541.4844890.0474
12.79541.4844890.0478
12.80651.4844890.04802149
12.81541.4844890.0482
12.83541.4844890.0486
12.85541.4844890.049
12.87541.4844890.0493
12.89541.4844890.0497
12.91531.4844890.0501
12.92111.4844890.05021597
12.93531.4844890.0505
12.95531.4844890.0509
12.97531.4844890.0513
12.99531.4844890.0517
13.01531.4844890.052
13.03531.4844890.0524
13.03671.4844890.05242896
13.05531.4844890.0528
13.07531.4844890.0532
13.09531.4844890.0536
13.11531.4844890.0539
13.13531.4844890.0543
13.15341.4844890.05466266
13.15531.4844890.0547
13.17521.4844890.0551
13.19521.4844890.0554
13.21521.4844890.0558
13.23521.4844890.0562
13.25521.4844890.0565
13.27121.4844890.05681925
13.27521.4844890.0569
13.29521.4844890.0573
13.31521.4844890.0576
13.33521.4844890.058
13.35521.4844890.0583
13.37521.4844890.0587
13.38991.4844890.05899491
13.39521.4844890.0591
13.41521.4844890.0594
13.43521.4844890.0598
13.45511.4844890.0602
13.47511.4844890.0606
13.49511.4844890.0609
13.50981.4844890.06119384
13.51511.4844890.0613
13.53511.4844890.0617
13.55511.4844890.0621
13.57511.4844890.0624
13.59511.4844890.0628
13.61511.4844890.0632
13.63071.4844890.06351221
13.63511.4844890.0636
13.65511.4844890.064
13.67511.4844890.0644
13.69511.4844890.0648
13.7151.4844890.0652
13.7351.4844890.0656
13.75271.4844890.06595424
13.7551.4844890.066
13.7751.4844890.0664
13.7951.4844890.0668
13.8151.4844890.0672
13.8351.4844890.0676
13.8551.4844890.068
13.8751.4844890.0684
13.87581.4844890.0684161
13.8951.4844890.0688
13.9151.4844890.0692
13.9351.4844890.0696
13.9551.4844890.07
13.9751.4844890.0704
141.4844890

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
—