Optical constants

Refractive index of BaF2 (Barium fluoride)

Bosomworth 1967: n,k 77–1000 µm; 300 K

Data
formula 4 + tabulated k
Range
77–1000 µm
Temperature
300 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 77–1000 µm
Refractive index n
2.67054
Extinction coefficient k
0.0245142
Permittivity ε1
7.13117
Permittivity ε2
0.130932
Absorption coefficient α
11.1211 cm⁻¹
Penetration depth δ = λ/(2πk)
1.79838e+06 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.000269627 µm⁻¹
Group index ng
2.74523
Group velocity dispersion
114749 fs²/mm
Dispersion parameter D
-2.81702 ps/(nm·km)
Photon energy
0.00447596 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

# BaF2 (Barium fluoride): Bosomworth 1967: n,k 77–1000 µm; 300 K
baf2 = ls.fetch_refractiveindex("main", "BaF2", "Bosomworth-300K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(baf2.range_nm)  # (77000, 1e+06) nm
eps = baf2.eps([277000])  # 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

RefractiveIndex.INFO (formula 4), λ in µm
n2=0.0+6.94λ2.0λ2−54.3482.0−6350.4λ0.0λ2−54.3482.0

Valid from 77.0 to 1000.0 µm.

Coefficients as stored
CiValue
C10.0
C26.94
C32.0
C454.348
C52.0
C6-6350.4
C70.0
C854.348
C92.0

Comments and conditions

300 K

Conditions

temperature
300 K

References

D. R. Bosomworth. Far-infrared optical properties of CaF2, SrF2, BaF2, and CdF2. Phys. Rev., 157, 709 (1967)
  • doi:10.1103/physrev.157.709 Far-Infrared Optical Properties of Ca<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, Sr<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, Ba<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, and Cd<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, Physical Review (1967)

Cite

D. R. Bosomworth. Far-Infrared Optical Properties of Ca<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, Sr<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, Ba<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>, and Cd<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>. Physical Review, 157, 709-715 (1967), doi:10.1103/physrev.157.709; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 519 wavelengths, the same grid as the API and the library
BaF2 (Barium fluoride), Bosomworth 1967: n,k 77–1000 µm; 300 K: n and k versus wavelength
λ (µm)nk
773.4198340.09737315
77.49643.4023190.09204279
77.5193.4015370.0918
77.9963.3853670.08833677
78.1253.3810940.0874
78.49883.3689510.08496883
78.743.3612960.0834
79.00483.3530490.08200162
79.3653.342090.0801
79.51423.3376360.07932484
803.3234570.0768
80.02683.3226910.07667139
80.54273.3081940.07419186
80.6453.3053810.0737
81.06193.2941260.07198414
81.3013.2878160.071
81.58453.2804680.06980825
81.9673.2707750.0682
82.11043.2672050.0676712
82.63973.2543190.06571937
82.6453.2541930.0657
83.17253.2417960.06393657
83.3333.2381070.0634
83.70873.229620.06238176
84.0343.2224340.0615
84.24833.217780.06095819
84.7463.207210.0597
84.79143.2062610.05959332
85.33813.1950520.05830982
85.473.1924020.058
85.88823.184140.0572056
86.2073.177980.0566
86.44193.1735160.05619287
86.9573.1639380.0553
86.99913.1631670.0552281
87.563.1530850.05427127
87.7193.1502850.054
88.12453.143260.0533738
88.4963.1369620.0528
88.69263.1336830.05255118
89.26433.1243440.05182742
89.2863.1239960.0518
89.83983.1152370.05118009
90.093.1113650.0509
90.4193.1063530.05057868
90.9093.0990470.0501
91.00193.0976840.05002207
91.58853.0892240.04952967
91.7433.0870390.0494
92.17893.0809660.04904099
92.5933.0753210.0487
92.77323.0729020.04855418
93.37133.0650270.04807019
93.4583.0639050.048
93.97323.0573350.04764953
94.343.0527590.0474
94.5793.049820.04726693
95.18873.0424770.04692744
95.2383.0418930.0469
95.80243.03530.04659194
96.1543.031280.0464
96.423.0282840.04625747
97.04163.0214240.04592436
97.0873.020930.0459
97.66713.0147160.0455953
98.0393.0108190.0454
98.29683.0081550.04529381
98.93043.0017370.04503277
99.013.0009440.045
99.56822.9954580.04471807
1002.9913050.0445
100.212.9893130.04441679
100.8562.9832990.04416095
101.012.9818910.0441
101.5062.9774130.04390726
102.042.9727010.0437
102.1612.971650.04366552
102.8192.9660070.04347735
103.092.9637320.0434
103.4822.9604810.04325478
104.1492.9550690.0430077
104.172.9549030.043
104.8212.9497680.04282093
105.262.9463750.0427
105.4962.9445740.04261559
106.1762.9394850.04237269
106.382.9379880.0423
106.8612.9344980.04217454
107.532.929750.042
107.552.9296110.04199492
108.2432.924820.04181714
108.72.9217320.0417
108.9412.9201240.04163925
109.6432.915520.0414622
109.892.9139310.0414
110.352.9110050.04128686
111.0612.9065780.04111193
111.112.906280.0411
111.7772.9022360.04099321
112.362.8987850.0409
112.4982.8979770.04087843
113.2232.89380.04076511
113.642.8914470.0407
113.9532.8897010.04062773
114.6882.8856790.0404582
114.942.8843220.0404
115.4272.8817330.04029094
116.1712.8778610.04012434
116.282.8773030.0401
116.922.874060.04000654
117.652.8704460.0399
117.6742.8703290.03989487
118.4332.8666670.03973232
119.052.8637530.0396
119.1962.8630720.03956937
119.9642.8595420.03940816
120.482.8572220.0393
120.7382.8560770.03924739
121.5162.8526730.03908854
121.952.8508120.039
122.32.8493310.03895371
123.0882.8460480.03884928
123.462.8445260.0388
123.8812.8428240.03877263
124.682.8396560.03872078
1252.8384090.0387
125.4842.8365450.03863876
126.2932.8334880.03853636
126.582.832420.0385
127.1072.8304840.03843535
127.9262.8275330.0383348
128.212.8265280.0383
128.7512.8246330.03823482
129.5812.8217830.03813481
129.872.8208060.0381
130.4162.8189820.03800414
131.2572.8162290.03785664
131.582.8151890.0378
132.1032.8135220.03771029
132.9552.8108620.0375643
133.332.809710.0375
133.8122.8082470.0374201
134.6752.8056760.03727712
135.142.8043140.0372
135.5432.8031480.03713467
136.4172.8006620.03699297
136.992.7990630.0369
137.2962.7982180.03685167
138.1812.7958150.03671191
138.892.793930.0366
139.0722.7934510.03656286
139.9692.7911270.03637989
140.852.7888920.0362
140.8712.788840.03619481
141.7792.7865910.0359689
142.6932.7843790.03574154
142.862.783980.0357
143.6132.7822030.03508167
144.5392.7800620.03432133
144.932.7791720.034
145.4712.7779560.03382237
146.4082.7758840.03351417
147.062.7744710.0333
147.3522.7738450.0332333
148.3022.7718390.03301642
149.252.7698820.0328
149.2582.7698650.03279964
150.222.7679220.03275725
151.1892.7660110.03271459
151.522.7653670.0327
152.1632.7641290.03272761
153.1442.7622780.03276971
153.852.7609710.0328
154.1322.7604550.03285867
155.1252.7586620.03306568
156.1252.7568960.03327402
156.252.7566790.0333
157.1322.7551580.03351333
158.1452.7534470.0337584
158.732.7524760.0339
159.1642.7517630.03401874
160.192.7501050.0342993
161.2232.7484720.03458168
161.292.7483670.0346
162.2622.7468650.03496831
163.3082.7452820.03536454
163.932.7443580.0356
164.3612.7437240.03575736
165.4212.742190.03614407
166.4872.7406790.03653327
166.672.7404230.0366
167.562.7391910.03685261
168.6412.7377260.03715905
169.492.7365960.0374
169.7282.7362830.03744072
170.8222.7348620.03762808
171.9232.7334620.03781664
172.412.7328530.0379
173.0322.7320830.03800256
174.1472.7307260.03818663
175.272.7293880.03837189
175.442.7291880.0384
176.42.7280710.03852263
177.5372.7267730.03866795
178.572.7256180.0388
178.6812.7254950.03881027
179.8332.7242360.0389166
180.9922.7229950.03902361
181.822.7221260.0391
182.1592.7217730.03911007
183.3342.7205690.03914491
184.5152.7193830.03917998
185.192.7187170.0392
185.7052.7182140.03917049
186.9022.7170630.03910188
188.1072.7159280.03903284
188.682.7153970.039
189.322.714810.03896476
190.542.7137090.03889751
191.7682.7126230.03882984
192.312.7121520.0388
193.0052.7115530.038671
194.2492.7104990.03843998
195.5012.7094610.03820746
196.082.7089880.0381
196.7622.7084370.03797829
198.032.7074280.03775179
199.3072.7064340.03752382
2002.7059030.0374
200.5912.7054540.03729852
201.8852.7044880.03707666
203.1862.7035370.03685337
204.082.7028940.0367
204.4962.7025980.0366217
205.8142.7016740.03637355
207.1412.7007620.0361238
208.332.6999620.0359
208.4762.6998640.03587361
209.822.6989790.03563146
211.1732.6981060.03538774
212.5342.6972450.03514245
212.772.6970980.0351
213.9052.6963970.03490354
215.2832.6955610.03466476
216.6712.6947370.03442444
217.392.6943160.0343
218.0682.6939240.03418768
219.4742.6931230.03395483
220.8892.6923330.03372049
222.222.6916050.0335
222.3132.6915550.0334853
223.7462.6907870.03325826
225.1882.690030.03302976
226.642.6892840.03279979
227.272.6889650.0327
228.1012.6885480.03254288
229.5722.6878230.03226491
231.0522.6871080.03198514
232.5412.6864020.03170357
232.562.6863940.0317
234.042.6857070.03145953
235.5492.6850210.03121442
237.0672.6843450.03096774
238.12.6838930.0308
238.5962.6836790.03071452
240.1342.6830210.03044933
241.6822.6823730.03018242
243.242.6817340.02991379
243.92.6814670.0298
244.8082.6811030.02965114
246.3862.6804820.02939242
247.9752.6798690.02913203
249.5732.6792640.02886996
2502.6791050.0288
251.1822.6786680.02863402
252.8012.678080.02840667
254.4312.67750.02817785
256.0712.6769280.02794755
256.412.6768110.0279
257.7222.6763640.02764729
259.3842.6758080.02732731
261.0562.6752590.02700527
262.7392.6747180.02668115
263.162.6745840.0266
264.4322.6741840.02640314
266.1372.6736580.0261394
267.8532.6731390.02587396
269.582.6726260.02560682
270.272.6724250.0255
271.3172.6721210.02534658
273.0672.6716230.02509039
274.8272.6711320.02483254
276.5992.6706470.02457304
277.782.6703290.0244
278.3822.6701690.02432412
280.1762.6696970.02409781
281.9832.6692320.02387004
283.82.6687730.02364081
285.632.668320.0234101
285.712.6683010.0234
287.4712.6678740.02321151
289.3252.6674330.02301319
291.192.6669990.02281359
293.0672.666570.0226127
294.122.6663330.0225
294.9562.6661470.02241554
296.8582.665730.02222347
298.7712.6653190.02203016
300.6972.6649130.02183561
302.6362.6645120.02163981
303.032.6644320.0216
304.5872.6641170.02145204
306.552.6637270.02126543
308.5272.6633430.02107761
310.5162.6629630.02088859
312.52.6625920.0207
312.5172.6625890.02069862
314.5322.662220.02053872
316.562.6618550.0203778
318.6012.6614960.02021583
320.6542.6611410.02005282
322.582.6608150.0199
322.7222.6607920.01989078
324.8022.6604460.01975531
326.8962.6601060.01961896
329.0032.659770.01948174
331.1242.6594380.01934363
333.2592.6591110.01920463
333.332.65910.0192
335.4072.6587880.01909162
337.572.658470.01897881
339.7462.6581560.01886527
341.9362.6578460.01875099
344.142.657540.01863599
344.832.6574450.0186
346.3592.6572380.01852548
348.5922.656940.01841665
350.8392.6566470.01830712
353.1012.6563570.01819688
355.3772.6560710.01808593
357.142.6558530.018
357.6682.6557880.01797606
359.9742.655510.01787149
362.2942.6552350.01776625
364.632.6549640.01766032
366.9812.6546960.01755372
369.3462.6544320.01744643
370.372.6543190.0174
371.7272.6541710.01734285
374.1242.6539140.01724195
376.5362.6536610.0171404
378.9632.653410.01703819
381.4062.6531630.01693533
383.8652.6529190.0168318
384.622.6528450.0168
386.3392.6526790.01673292
388.832.6524410.01663576
391.3372.6522070.01653797
393.8592.6519760.01643955
396.3982.6517480.0163405
398.9542.6515230.01624081
4002.6514320.0162
401.5262.65130.01614508
404.1142.6510810.01605191
406.7192.6508650.01595815
409.3412.6506510.01586377
411.982.6504410.01576879
414.6362.6502330.0156732
416.672.6500760.0156
417.3092.6500270.01558235
419.9992.6498250.01550808
422.7072.6496250.01543332
425.4322.6494280.01535809
428.1752.6492330.01528237
430.9352.6490410.01520616
433.7132.6488510.01512946
434.782.648780.0151
436.5092.6486640.01506502
439.3232.648480.01500808
442.1552.6482970.01495078
445.0062.6481180.01489311
447.8742.647940.01483507
450.7622.6477650.01477665
453.6682.6475920.01471785
454.552.647540.0147
456.5922.6474220.01465281
459.5362.6472530.0145848
462.4982.6470870.01451636
465.482.6469230.01444747
468.482.6467610.01437813
471.5012.6466010.01430835
474.542.6464440.01423812
476.192.6463590.0142
477.5992.6462880.0141704
480.6782.6461340.01410575
483.7772.6459830.01404068
486.8962.6458330.01397518
490.0352.6456860.01390927
493.1942.645540.01384293
496.3732.6453960.01377616
499.5732.6452540.01370897
5002.6452350.0137
502.7942.6451140.01365754
506.0352.6449760.01360828
509.2972.6448390.01355871
512.582.6447040.01350881
515.8852.6445710.01345859
519.2112.644440.01340805
522.5582.6443110.01335718
525.9262.6441830.01330598
526.322.6441680.0133
529.3172.6440570.01324875
532.7292.6439320.0131904
536.1632.6438090.01313168
539.622.6436880.01307257
543.0992.6435680.01301309
546.62.643450.01295322
550.1242.6433330.01289296
553.672.6432180.01283232
555.562.6431580.0128
557.2392.6431050.01277431
560.8322.6429920.01271934
564.4472.6428820.01266403
568.0862.6427720.01260836
571.7482.6426640.01255232
575.4342.6425580.01249593
579.1442.6424530.01243917
582.8772.6423490.01238205
586.6352.6422470.01232456
588.242.6422040.0123
590.4172.6421460.0122704
594.2232.6420460.01221862
598.0532.6419470.01216652
601.9092.641850.01211408
605.7892.6417540.0120613
609.6942.641660.01200818
613.6252.6415660.01195472
617.5812.6414740.01190091
621.5622.6413830.01184676
6252.6413060.0118
625.5692.6412930.01179454
629.6022.6412040.01175583
633.6612.6411170.01171686
637.7462.641030.01167765
641.8572.6409450.01163819
645.9952.6408610.01159847
650.1592.6407780.01155849
654.3512.6406960.01151826
658.5692.6406150.01147776
662.8142.6405350.01143701
666.672.6404630.0114
667.0872.6404560.01139649
671.3882.6403780.01136037
675.7162.6403010.01132401
680.0722.6402250.01128742
684.4562.640150.0112506
688.8692.6400760.01121353
693.312.6400030.01117623
697.7792.6399310.01113869
702.2772.639860.0111009
706.8052.639790.01106287
711.3612.639720.0110246
714.292.6396760.011
715.9472.6396520.01098793
720.5632.6395840.01095433
725.2082.6395180.01092051
729.8832.6394520.01088647
734.5882.6393870.01085221
739.3242.6393230.01081774
744.092.639260.01078304
748.8872.6391970.01074811
753.7152.6391350.01071296
758.5742.6390740.01067759
763.4642.6390140.01064198
768.3862.6389550.01060615
769.232.6389450.0106
773.3392.6388960.01057436
778.3252.6388390.01054325
783.3422.6387820.01051194
788.3922.6387250.01048042
793.4752.638670.01044871
798.592.6386150.01041679
803.7382.6385610.01038466
808.9192.6385070.01035233
814.1342.6384540.01031979
819.3832.6384020.01028704
824.6652.6383510.01025407
829.9812.63830.0102209
833.332.6382690.0102
835.3322.638250.01019207
840.7172.63820.01017075
846.1372.6381520.01014929
851.5912.6381030.01012769
857.0812.6380560.01010595
862.6072.6380090.01008407
868.1672.6379620.01006205
873.7642.6379170.01003989
879.3972.6378710.01001758
885.0662.6378270.009995131
890.7722.6377830.009972537
896.5142.6377390.009949798
902.2942.6376960.009926912
908.1112.6376540.009903878
909.092.6376470.0099
913.9652.6376120.009881768
919.8572.6375710.009859732
925.7872.637530.009837554
931.7552.637490.009815234
937.7622.637450.009792769
943.8072.6374110.009770159
949.8912.6373720.009747404
956.0152.6373340.009724502
962.1782.6372960.009701452
968.3812.6372590.009678254
974.6242.6372220.009654906
980.9072.6371860.009631408
987.232.637150.009607758
993.5952.6371150.009583956
10002.637080.00956

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
—