Optical constants

Refractive index of CaF2 (Calcium fluoride)

Bosomworth 1967: n,k 52–1000 µm; 300 K

Data
formula 4 + tabulated k
Range
52–1000 µm
Temperature
300 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 52083-1e+06 nm only; k = 0 elsewhere in the n range 52000-1e+06 nm.

At one wavelength

Range 52–1000 µm
Refractive index n
2.60148
Extinction coefficient k
0.0249034
Permittivity ε1
6.76708
Permittivity ε2
0.129571
Absorption coefficient α
13.7257 cm⁻¹
Penetration depth δ = λ/(2πk)
1.45712e+06 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.000239118 µm⁻¹
Group index ng
2.656
Group velocity dispersion
68216.3 fs²/mm
Dispersion parameter D
-2.47183 ps/(nm·km)
Photon energy
0.0054379 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

# CaF2 (Calcium fluoride): Bosomworth 1967: n,k 52–1000 µm; 300 K
caf2 = ls.fetch_refractiveindex("main", "CaF2", "Bosomworth-300K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(caf2.range_nm)  # (52000, 1e+06) nm
eps = caf2.eps([228000])  # 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+6.63λ2.0λ2−38.9112.0−3088.6λ0.0λ2−38.9112.0

Valid from 52.0 to 1000.0 µm.

Coefficients as stored
CiValue
C10.0
C26.63
C32.0
C438.911
C52.0
C6-3088.6
C70.0
C838.911
C92.0

Comments and conditions

300 K

Conditions

temperature
300 K
Notes on the source data (kept exactly as published):
  • k data cover 52083-1e+06 nm only; k = 0 elsewhere in the n range 52000-1e+06 nm

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 582 wavelengths, the same grid as the API and the library
CaF2 (Calcium fluoride), Bosomworth 1967: n,k 52–1000 µm; 300 K: n and k versus wavelength
λ (µm)nk
523.5313410
52.0833.5253760.0707
52.3563.5062160.0696
52.38673.5041020.06947748
52.6323.4875340.0685
52.77643.4780270.0679288
52.913.4693810.0674
53.16893.4530440.06638662
53.1913.4516720.0663
53.4763.4343360.0652
53.56433.4290870.06489231
53.7633.4174810.0642
53.96273.4060940.06358243
54.0543.4009770.0633
54.3483.3848720.0624
54.3643.3840110.06234067
54.6453.3691540.0613
54.76833.3627830.06088886
54.9453.3538130.0603
55.17573.3423650.05961709
55.2493.3387870.0594
55.5563.3241190.0585
55.5863.3227110.0584225
55.8663.3097980.0577
55.99943.303780.05731752
56.183.2957710.0568
56.41593.2855340.05620459
56.4973.2820750.056
56.8183.2686580.0554
56.83553.2679390.05536767
57.1433.2555160.0548
57.25823.250960.05458924
57.4713.2426820.0542
57.68413.2345670.05381494
57.8033.230110.0536
58.11313.2187310.05295592
58.143.2177590.0529
58.483.2056980.0523
58.54533.2034260.05220511
58.8243.1938830.0518
58.98073.1886260.05157485
59.1723.1823110.0513
59.41943.1743080.0510189
59.5243.1709770.0509
59.86133.160450.05052103
59.883.1598750.0505
60.2413.1489720.0501
60.30653.1470310.05004617
60.6063.1382940.0498
60.7553.1340320.04963891
60.9763.127810.0494
61.20693.1214330.04921481
61.353.1175420.0491
61.66213.1092190.04885232
61.7283.1074890.0488
62.1123.0975930.0485
62.12073.0973720.04849329
62.53.0879040.0482
62.58273.0858780.04815792
62.8933.0783950.048
63.04813.0747220.04788306
63.2913.0690620.0477
63.51713.0638890.04758782
63.6943.0599030.0475
63.98943.0533680.04735553
64.1033.0508950.0473
64.46543.0431460.04712452
64.5163.0420790.0471
64.9353.033410.0469
64.94483.033210.04689537
65.3593.0249070.0467
65.42783.0235510.04666799
65.7893.0165480.0465
65.91443.0141580.04647123
66.2253.0083320.0464
66.40473.005020.04635935
66.6673.0002590.0463
66.89852.9961290.0462482
67.1142.9923450.0462
67.39612.9874750.0462
67.5682.9845530.0462
67.89732.9790490.0462
68.0272.9769160.0462
68.40232.9708440.0462
68.4932.96940.0462
68.9112.9628520.04611162
68.9662.9620050.0461
69.42352.9550660.0461
69.4442.954760.0461
69.932.947620.0461
69.93992.9474770.0461
70.4232.9405990.0461
70.462.940080.0461
70.9222.933710.0461
70.98412.9328680.0461
71.4292.9269260.0461
71.5122.9258360.04611618
71.9422.9202720.0462
72.04392.9189760.0462
72.4642.913710.0462
72.57972.9122830.04622187
72.9932.9072640.0463
73.11952.9057530.0463236
73.5292.9009340.0464
73.66332.8993790.04642464
74.0742.8946970.0465
74.21112.8931580.0465496
74.6272.8885630.0467
74.76312.8870830.04672426
75.1882.8825330.0468
75.31912.8811510.046823
75.7582.8765970.0469
75.87932.8753570.04694197
76.3362.8707640.0471
76.44362.8696980.04711833
76.9232.8650240.0472
77.01222.8641680.0472
77.5192.8593780.0472
77.58492.8587640.04721088
78.1252.8538160.0473
78.16192.8534830.04730601
78.742.8483490.0474
78.74332.8483210.04740052
79.32892.8432740.04749422
79.3652.8429670.0475
79.91892.8383390.0475
802.8376720.0475
80.51332.8335130.04757958
80.6452.8324620.0476
81.11212.8287920.0476712
81.3012.8273320.0477
81.71532.8241750.0477
81.9672.8222880.0477
82.32312.8196580.0477
82.6452.8173170.0477
82.93532.8152370.0477
83.3332.8124340.0477
83.55222.8109120.0477
84.0342.8076180.0477
84.17362.8066780.0477
84.7462.8028840.0477
84.79962.8025340.0477
85.43032.7984770.0477
85.472.7982260.0477
86.06562.7945060.0477
86.2072.7936370.0477
86.70572.7906160.0477
86.9572.7891190.0477
87.35062.7868070.0477
87.7192.7846790.0477
88.00032.7830770.0476638
88.4962.78030.0476
88.65472.7794230.0476
89.2862.7759940.0476
89.31412.7758440.04759301
89.97842.7723370.04742777
90.092.7717570.0474
90.64762.7689010.04733192
90.9092.7675840.0473
91.32172.7655340.04720102
91.7432.7634760.0471
92.00092.7622340.04706966
92.5932.759430.047
92.68522.7590.04697869
93.37452.755830.04681931
93.4582.7554510.0468
94.06892.7527220.04673073
94.342.7515320.0467
94.76862.7496750.04660455
95.2382.7476770.0465
95.47342.7466880.0464743
96.1542.7438790.0464
96.18352.7437590.04639369
96.89882.7408870.04624034
97.0872.7401440.0462
97.61952.738070.04608814
98.0392.7364650.046
98.34552.7353070.0459053
99.012.7328420.0457
99.07692.7325970.04568648
99.81382.7299390.04553762
1002.7292790.0455
100.5562.7273320.04533481
101.012.7257710.0452
101.3042.7247730.04511437
102.042.722320.0449
102.0572.7222630.04489502
102.8162.71980.04467815
103.092.7189280.0446
103.5812.7173830.04446357
104.172.7155640.0443
104.3522.7150110.04425004
105.1282.7126830.04403643
105.262.7122920.044
105.9092.7103980.04376804
106.382.7090510.0436
106.6972.7081550.04348968
107.4912.7059530.04321367
107.532.7058460.0432
108.292.7037920.04294012
108.72.7027060.0428
109.0962.701670.04266704
109.892.699630.0424
109.9072.6995870.04239445
110.7242.6975420.04212645
111.112.6965950.042
111.5482.6955330.04185989
112.362.6936020.0416
112.3772.6935610.04159591
113.2132.6916240.04140002
113.642.6906540.0413
114.0552.6897220.04117223
114.9042.6878540.04091123
114.942.6877750.0409
115.7582.6860190.04071685
116.282.6849210.0406
116.6192.6842170.04050102
117.4862.6824470.04024778
117.652.6821180.0402
118.362.6807070.03994638
119.052.6793650.0397
119.242.6789990.03966005
120.1272.6773210.03947401
120.482.6766650.0394
121.0212.6756720.03925288
121.9212.6740510.03900796
121.952.6739990.039
122.8272.6724590.03882566
123.462.6713720.0387
123.7412.6708950.03864526
124.6612.6693580.03846598
1252.6688020.0384
125.5882.6678470.03832551
126.5222.6663630.03820728
126.582.6662720.0382
127.4632.6649040.0380916
128.212.6637710.038
128.4112.663470.03797573
129.3672.662060.03786066
129.872.6613310.0378
130.3292.6606750.03777318
131.2982.6593130.03771649
131.582.6589230.0377
132.2742.6579750.03766032
133.2582.6566590.0376041
133.332.6565640.0376
134.2492.6553660.03754921
135.142.654230.0375
135.2482.6540940.03749418
136.2542.6528440.0374398
136.992.6519480.0374
137.2672.6516150.03737084
138.2882.6504060.03726338
138.892.6497070.0372
139.3162.6492180.03715649
140.3532.648050.03705076
140.852.6474990.037
141.3962.6469010.03694563
142.4482.6457720.036841
142.862.6453370.0368
143.5072.6446610.03670617
144.5752.6435690.03655149
144.932.6432110.0365
145.652.6424940.03639859
146.7332.6414380.03624602
147.062.6411240.0362
147.8252.6403990.03609527
148.9242.6393770.03594466
149.252.6390790.0359
150.0322.6383720.03576228
151.1472.6373840.03556566
151.522.6370590.0355
152.2722.6364120.03540324
153.4042.6354550.03525742
153.852.6350850.0352
154.5452.6345150.03508418
155.6942.6335890.03489261
156.252.633150.0348
156.8522.6326790.03470286
158.0192.6317840.0345147
158.732.6312480.0344
159.1942.6309030.03432749
160.3782.6300370.03414249
161.292.6293830.034
161.5712.6291840.03394681
162.7722.6283450.03371923
163.932.6275560.0335
163.9832.627520.03349225
165.2032.6267090.03331421
166.4312.625910.03313484
166.672.6257570.0331
167.6692.6251240.03292285
168.9162.6243510.03270175
169.492.6240010.0326
170.1722.623590.03245977
171.4382.6228420.03219971
172.412.6222780.032
172.7132.6221050.03194998
173.9982.621380.03173801
175.2922.6206670.03152447
175.442.6205860.0315
176.5952.6199650.03131543
177.9092.6192740.03110562
178.572.6189330.031
179.2322.6185950.03089816
180.5652.6179260.03069308
181.822.617310.0305
181.9082.6172680.03048957
183.2612.616620.03032898
184.6242.6159820.03016721
185.192.6157220.0301
185.9972.6153550.03000752
187.382.6147370.02984897
188.682.614170.0297
188.7742.614130.02968966
190.1782.6135320.02953496
191.5922.6129430.0293791
192.312.6126490.0293
193.0172.6123630.02922497
194.4532.6117930.02907266
195.8992.6112320.02891922
196.082.6111620.0289
197.3562.6106790.02873727
198.8242.6101350.02855005
2002.6097080.0284
200.3022.60960.02836295
201.7922.6090730.02818039
203.2932.6085540.02799646
204.082.6082870.0279
204.8052.6080430.02779767
206.3282.6075410.02758263
207.8632.6070460.027366
208.332.6068970.0273
209.4082.6065590.02715426
210.9662.6060790.0269438
212.5352.6056070.02673177
212.772.6055370.0267
214.1162.6051420.02652524
215.7082.6046850.02631843
217.3122.6042340.02611008
217.392.6042130.0261
218.9292.6037910.02594073
220.5572.6033540.02577217
222.1972.6029240.02560236
222.222.6029190.0256
223.852.6025010.02540637
225.5152.6020850.02520857
227.1922.6016740.02500929
227.272.6016560.025
228.8812.6012710.02478676
230.5842.6008730.02456151
232.2992.6004820.02433458
232.562.6004230.0243
234.0262.6000960.02411472
235.7672.5997170.0238948
237.522.5993430.02367324
238.12.5992210.0236
239.2872.5989750.02349768
241.0672.5986130.02334426
242.8592.5982560.0231897
243.92.5980530.0231
244.6662.5979050.02299959
246.4852.5975590.02276094
248.3192.5972180.02252052
2502.5969130.0223
250.1652.5968830.02227937
252.0262.5965530.02204716
253.92.5962280.02181322
255.7892.5959070.02157755
256.412.5958040.0215
257.6912.5955920.02136715
259.6082.5952820.0211684
261.5382.5949760.02096817
263.162.5947240.0208
263.4832.5946750.0207727
265.4432.5943780.02060733
267.4172.5940860.02044074
269.4062.5937990.0202729
270.272.5936760.0202
271.412.5935160.02010894
273.4282.5932370.01994767
275.4622.5929620.0197852
277.5112.5926920.01962152
277.782.5926570.0196
279.5752.5924250.01944159
281.6542.5921630.01925804
283.7492.5919050.01907314
285.712.5916680.0189
285.8592.5916510.0188876
287.9852.59140.01871064
290.1272.5911530.01853237
292.2852.590910.01835277
294.122.5907080.0182
294.4582.5906710.01817341
296.6482.5904350.01800136
298.8552.5902030.01782803
301.0772.5899750.01765341
303.032.5897780.0175
303.3172.589750.01748185
305.5722.5895280.01733892
307.8452.5893090.01719493
310.1352.5890940.01704987
312.4412.5888830.01690373
312.52.5888770.0169
314.7652.5886740.01678765
317.1062.5884680.01667153
319.4642.5882660.01655455
321.842.5880670.01643669
322.582.5880060.0164
324.2342.587870.01632307
326.6452.5876770.01621091
329.0752.5874860.01609792
331.5222.5872990.01598409
333.332.5871630.0159
333.9882.5871140.01585996
336.4722.5869320.01570876
338.9742.5867530.01555644
341.4952.5865760.01540298
344.0352.5864020.01524839
344.832.5863490.0152
346.5942.5862310.01511403
349.1712.5860620.01498839
351.7682.5858960.01486182
354.3852.5857320.0147343
357.022.5855710.01460583
357.142.5855640.0146
359.6762.5854120.01448501
362.3512.5852560.01436369
365.0462.5851020.01424147
367.762.584950.01411835
370.372.5848070.014
370.4962.58480.01399559
373.2512.5846530.01389891
376.0272.5845080.01380151
378.8242.5843650.01370338
381.6412.5842240.01360452
384.482.5840860.01350493
384.622.5840790.0135
387.3392.5839490.0134116
390.222.5838150.01331795
393.1222.5836820.0132236
396.0462.5835520.01312855
398.9912.5834230.01303279
4002.583380.013
401.9592.5832960.0129295
404.9482.5831720.0128219
407.962.5830490.0127135
410.9942.5829280.01260429
414.0512.5828080.01249427
416.672.5827080.0124
417.132.5826910.01238475
420.2332.5825750.01228197
423.3582.5824610.01217842
426.5072.5823490.0120741
429.6792.5822380.01196901
432.8742.5821290.01186314
434.782.5820650.0118
436.0942.5820220.01176013
439.3372.5819160.0116617
442.6052.5818120.01156253
445.8962.5817090.01146263
449.2132.5816080.01136198
452.5542.5815080.01126059
454.552.581450.0112
455.9192.581410.01116836
459.312.5813140.01109001
462.7262.5812180.01101108
466.1682.5811250.01093157
469.6352.5810320.01085146
473.1282.5809410.01077076
476.192.5808630.0107
476.6462.5808520.01069233
480.1912.5807630.01063278
483.7632.5806760.01057278
487.3612.580590.01051234
490.9852.5805060.01045144
494.6372.5804230.0103901
498.3162.5803410.0103283
5002.5803040.0103
502.0222.580260.01026851
505.7562.580180.01021034
509.5172.5801020.01015175
513.3062.5800250.01009272
517.1242.5799490.01003325
520.972.5798740.009973339
524.8452.57980.009912982
526.322.5797720.00989
528.7482.5797270.009855953
532.6812.5796560.009800812
536.6422.5795850.009745262
540.6332.5795160.009689298
544.6542.5794470.009632918
548.7052.579380.009576118
552.7862.5793130.009518896
555.562.5792690.00948
556.8972.5792480.00946445
561.0392.5791830.009416289
565.2122.579120.009367771
569.4152.5790570.009318891
573.652.5789950.009269647
577.9172.5789340.009220038
582.2152.5788750.009170059
586.5452.5788160.009119709
588.242.5787930.0091
590.9072.5787570.009075329
595.3022.57870.009034681
599.732.5786440.008993731
604.192.5785880.008952476
608.6842.5785330.008910914
613.212.5784790.008869043
617.7712.5784260.008826861
622.3662.5783740.008784365
6252.5783440.00876
626.9942.5783220.008747077
631.6582.5782720.008716862
636.3552.5782220.008686423
641.0882.5781720.008655757
645.8562.5781240.008624863
650.662.5780760.008593739
655.4992.5780290.008562384
660.3742.5779820.008530795
665.2852.5779360.008498972
666.672.5779240.00849
670.2332.5778910.008471293
675.2182.5778470.008445124
680.242.5778030.00841876
685.2992.577760.008392199
690.3962.5777170.008365442
695.5312.5776750.008338485
700.7032.5776340.008311328
705.9152.5775940.008283969
711.1652.5775540.008256406
714.292.577530.00824
716.4542.5775140.008229365
721.7832.5774750.008203178
727.1512.5774370.008176797
732.5592.5773990.008150219
738.0072.5773620.008123444
743.4962.5773250.008096469
749.0252.5772890.008069294
754.5962.5772540.008041917
760.2082.5772190.008014336
765.8622.5771840.007986551
769.232.5771640.00797
771.5582.577150.00795874
777.2972.5771170.007930989
783.0782.5770840.00790303
788.9022.5770510.007874864
794.7692.5770190.007846489
800.682.5769880.007817902
806.6352.5769570.007789103
812.6342.5769260.00776009
818.6782.5768960.007730861
824.7672.5768660.007701414
830.9012.5768370.007671749
833.332.5768250.00766
837.082.5768080.007642674
843.3062.576780.007613913
849.5782.5767520.007584937
855.8962.5767240.007555746
862.2622.5766970.007526338
868.6752.576670.007496712
875.1362.5766440.007466864
881.6442.5766180.007436795
888.2012.5765920.007406503
894.8072.5765670.007375985
901.4622.5765420.00734524
908.1672.5765170.007314266
909.092.5765140.00731
914.9212.5764930.007287551
921.7252.5764690.007261354
928.5812.5764460.007234962
935.4872.5764230.007208373
942.4442.57640.007181587
949.4542.5763780.007154602
956.5152.5763560.007127416
963.6292.5763340.007100027
970.7962.5763120.007072435
978.0162.5762910.007044638
985.292.5762710.007016634
992.6182.576250.006988422
10002.576230.00696

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
—