Optical constants

Refractive index of CdF2 (Cadmium fluoride)

Bosomworth 1967: n,k 100–1000 µm; 300 K

Data
formula 4 + tabulated k
Range
100–1000 µm
Temperature
300 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 100–1000 µm
Refractive index n
2.93994
Extinction coefficient k
0.0359139
Permittivity ε1
8.64194
Permittivity ε2
0.211169
Absorption coefficient α
14.2819 cm⁻¹
Penetration depth δ = λ/(2πk)
1.40038e+06 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.000169083 µm⁻¹
Group index ng
2.99337
Group velocity dispersion
92161.8 fs²/mm
Dispersion parameter D
-1.73851 ps/(nm·km)
Photon energy
0.00392355 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

# CdF2 (Cadmium fluoride): Bosomworth 1967: n,k 100–1000 µm; 300 K
cdf2 = ls.fetch_refractiveindex("main", "CdF2", "Bosomworth-300K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdf2.range_nm)  # (100000, 1e+06) nm
eps = cdf2.eps([316000])  # 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+8.49λ2.0λ2−49.5052.0−5881.8λ0.0λ2−49.5052.0

Valid from 100.0 to 1000.0 µm.

Coefficients as stored
CiValue
C10.0
C28.49
C32.0
C449.505
C52.0
C6-5881.8
C70.0
C849.505
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 489 wavelengths, the same grid as the API and the library
CdF2 (Cadmium fluoride), Bosomworth 1967: n,k 100–1000 µm; 300 K: n and k versus wavelength
λ (µm)nk
1003.2352770.123
100.5793.2306470.122427
101.013.2272660.122
101.1613.2260970.1217071
101.7463.2216250.1205702
102.043.2194210.12
102.3353.217230.1197189
102.9273.212910.1191548
103.093.2117420.119
103.5233.2086640.1181978
104.1223.204490.1170883
104.173.2041620.117
104.7253.2003860.1164909
105.263.1968190.116
105.3313.1963510.1158731
105.9413.1923830.1147845
106.383.1895780.114
106.5543.1884810.1138489
107.173.1846440.1133126
107.533.1824460.113
107.7913.1808690.1127771
108.4153.1771570.1122439
108.73.1754860.112
109.0423.1735060.1114251
109.6733.1699130.1103645
109.893.1686970.11
110.3083.1663790.1096575
110.9463.1629020.1091342
111.113.1620230.109
111.5883.1594810.1086173
112.2343.1561140.1081006
112.363.1554670.108
112.8843.1528010.1075908
113.5373.1495410.1070804
113.643.1490340.107
114.1943.1463320.1065737
114.8553.1431740.1060653
114.943.1427730.106
115.523.1400650.1055673
116.1883.1370050.1050683
116.283.1365910.105
116.8613.1339930.104576
117.5373.1310270.1040823
117.653.1305390.104
118.2173.1281070.1035947
118.9023.1252320.1031059
119.053.1246170.103
119.593.1224020.1026225
120.2823.1196140.1021385
120.483.1188270.102
120.9783.1168690.1016612
121.6783.1141660.1011848
121.953.1131320.101
122.3823.1115040.1007136
123.0913.1088810.1002445
123.463.1075360.1
123.8033.1062990.09977715
124.523.1037550.09931188
1253.1020790.099
125.243.1012490.09884786
125.9653.098780.09838911
126.583.0967260.098
126.6943.0963480.09793692
127.4273.0939520.09753206
128.1653.0915920.09712485
128.213.0914490.0971
128.9073.0892660.09672224
129.6533.0869750.09631775
129.873.0863160.0962
130.4033.0847160.09588819
131.1583.0824910.09544684
131.583.0812670.0952
131.9173.0802990.09502669
132.683.0781380.09463404
133.333.0763340.0943
133.4483.0760080.09424114
134.2213.0739090.0938571
134.9983.071840.09347084
135.143.0714660.0934
135.7793.0698010.09305468
136.5653.0677920.09262991
136.993.0667210.0924
137.3553.0658110.09222708
138.153.0638580.09185053
138.893.0620750.0915
138.953.0619330.09146962
139.7543.0600350.09105932
140.5633.0581640.09064665
140.853.0575080.0905
141.3763.0563190.09021209
142.1943.05450.08976431
142.863.0530470.0894
143.0173.0527070.08932403
143.8453.0509390.08892416
144.6783.0491960.08852198
144.933.0486740.0884
145.5153.0474770.08812543
146.3573.0457820.08773004
147.063.0443920.0874
147.2043.044110.0873408
148.0563.0424610.08699068
148.9133.0408360.08663853
149.253.0402050.0865
149.7753.0392320.08624572
150.6423.0376510.08582567
151.5133.0360920.08540318
151.523.036080.0854
152.393.0345530.08498912
153.2723.0330360.08457274
153.853.0320580.0843
154.1593.031540.08415821
155.0523.0300640.08374928
155.9493.0286080.08333798
156.253.0281250.0832
156.8523.0271710.08290894
157.7593.0257540.08246969
158.6723.0243570.0820279
158.733.0242690.082
159.5913.0229780.0816638
160.5143.0216170.081303
161.293.0204950.081
161.4433.0202750.08093612
162.3783.0189510.0805468
163.3173.0176450.08015523
163.933.0168070.0799
164.2633.0163560.07976645
165.2133.0150840.07938479
166.173.0138290.07900092
166.673.0131820.0788
167.1313.0125910.07862008
168.0993.011370.07824277
169.0713.0101640.07786328
169.493.0096520.0777
170.053.0089740.07746989
171.0343.0078010.07706544
172.0243.0066420.07665864
172.413.0061960.0765
173.023.0054990.07625858
174.0213.0043710.075862
175.0283.0032570.07546313
175.443.0028080.0753
176.0413.0021590.07505035
177.063.0010740.07462718
178.0853.0000040.07420157
178.572.9995040.074
179.1152.9989480.07376508
180.1522.9979050.07331852
181.1952.9968760.07286938
181.822.9962680.0726
182.2432.995860.07242414
183.2982.9948580.07198596
184.3592.9938680.07154525
185.192.9931060.0712
185.4262.9928920.0710986
186.4992.9919270.07063736
187.5782.9909760.07017344
188.6642.9900360.06970684
188.682.9900230.0697
189.7562.9891090.06925538
190.8542.9881930.06880156
191.9592.987290.06834513
192.312.9870060.0682
193.072.9863970.0678977
194.1872.9855170.06745311
195.3112.9846470.06700595
196.082.9840610.0667
196.4412.9837890.06655248
197.5782.9829410.06608843
198.7222.9821050.0656217
199.8722.9812780.06515226
2002.9811870.0651
201.0292.9804630.06467136
202.1922.9796580.06418658
203.3622.9788630.063699
204.082.9783820.0634
204.5392.9780780.06322706
205.7232.9773030.06278139
206.9142.9765370.06233315
208.1112.9757820.06188232
208.332.9756450.0618
209.3162.9750350.06144476
210.5272.9742990.06100821
211.7462.9735710.06056913
212.772.972970.0602
212.9712.9728530.06013469
214.2042.9721440.0597345
215.4432.9714430.05933199
216.692.9707510.05892715
217.392.9703690.0587
217.9442.9700680.05850484
219.2062.9693940.05806088
220.4752.9687280.05761435
221.7512.968070.05716524
222.222.9678310.057
223.0342.967420.05670989
224.3252.9667790.05624979
225.6232.9661450.05578703
226.9292.965520.0553216
227.272.9653580.0552
228.2422.9649020.05488757
229.5632.9642920.05446306
230.8922.9636890.05403609
232.2282.9630940.05360666
232.562.9629470.0535
233.5722.9625060.05320768
234.9242.9619250.05281727
236.2842.9613520.05242459
237.6512.9607850.05202964
238.12.9606020.0519
239.0272.9602260.05166038
240.412.9596730.05130261
241.8012.9591280.05094277
243.2012.9585890.05058084
243.92.9583230.0504
244.6082.9580560.05021422
246.0242.957530.04984289
247.4482.9570110.04946941
248.882.9564980.04909377
2502.9561030.0488
250.322.9559910.04872003
251.7692.9554910.0483584
253.2262.9549960.04799469
254.6922.9545080.04762887
256.1662.9540260.04726093
256.412.9539460.0472
257.6482.9535490.04690644
259.142.9530780.04655298
260.6392.9526130.04619747
262.1482.9521540.04583991
263.162.951850.0456
263.6652.95170.04549344
265.1912.9512520.0451715
266.7262.9508090.0448477
268.272.9503720.04452203
269.8222.949940.04419447
270.272.9498160.0441
271.3842.9495130.04389236
272.9542.9490910.04359956
274.5342.9486750.04330507
276.1232.9482630.04300887
277.7212.9478560.04271096
277.782.9478420.0427
279.3292.9474550.04240709
280.9452.9470580.04210129
282.5712.9466660.04179373
284.2072.9462790.04148438
285.712.9459290.0412
285.8512.9458960.04117478
287.5062.9455180.0408797
289.172.9451450.04058292
290.8432.9447760.04028442
292.5272.9444110.03998419
294.122.9440720.0397
294.222.9440510.03967539
295.9222.9436950.03925495
297.6352.9433440.03883206
299.3582.9429970.03840673
301.092.9426530.03797894
302.8332.9423140.03754867
303.032.9422760.0375
304.5862.9419790.03731931
306.3482.9416490.03711455
308.1212.9413220.03690861
309.9052.9409990.03670147
311.6982.9406790.03649313
312.52.9405380.0364
313.5022.9403640.0362608
315.3172.9400520.0360088
317.1422.9397440.03575534
318.9772.939440.03550041
320.8232.939140.03524401
322.582.9388590.035
322.682.9388430.03498513
324.5472.9385490.03470717
326.4262.9382590.0344276
328.3152.9379730.03414642
330.2152.937690.03386361
332.1262.937410.03357916
333.332.9372360.0334
334.0482.9371340.03330628
335.9822.9368610.03305411
337.9262.9365910.03280048
339.8822.9363240.03254538
341.8492.9360610.0322888
343.8282.93580.03203074
344.832.935670.0319
345.8182.9355430.03178768
347.8192.9352890.03156006
349.8322.9350380.03133112
351.8572.9347890.03110085
353.8932.9345440.03086926
355.9412.9343020.03063632
357.142.9341620.0305
358.0012.9340620.03040885
360.0732.9338260.03018959
362.1572.9335920.02996907
364.2532.9333610.02974727
366.3612.9331320.02952418
368.4822.9329070.02929981
370.372.9327090.0291
370.6142.9326840.0290777
372.7592.9324630.02888202
374.9172.9322460.02868521
377.0872.9320310.02848726
379.2692.9318180.02828816
381.4642.9316080.02808791
383.6722.93140.0278865
384.622.9313120.0278
385.8922.9311950.02770073
388.1262.9309920.02752647
390.3722.9307920.02735121
392.6312.9305940.02717493
394.9042.9303980.02699763
397.1892.9302050.0268193
399.4882.9300140.02663995
4002.9299710.0266
401.82.9298250.02649202
404.1262.9296380.02635252
406.4642.9294540.02621221
408.8172.9292710.02607109
411.1832.9290910.02592916
413.5632.9289130.0257864
415.9562.9287370.02564282
416.672.9286850.0256
418.3642.9285630.02551583
420.7852.9283910.0253955
423.222.9282220.02527448
425.672.9280540.02515275
428.1332.9278880.02503032
430.6112.9277240.02490718
433.1032.9275620.02478333
434.782.9274550.0247
435.612.9274020.02465382
438.1312.9272440.02451355
440.6672.9270880.02437246
443.2172.9269330.02423056
445.7822.926780.02408783
448.3622.9266290.02394428
450.9572.926480.0237999
453.5672.9263330.02365468
454.552.9262780.0236
456.1922.9261870.02352411
458.8322.9260430.0234021
461.4882.9259010.02327939
464.1592.925760.02315597
466.8452.9256210.02303183
469.5472.9254840.02290697
472.2652.9253480.02278139
474.9982.9252140.02265509
476.192.9251560.0226
477.7472.9250810.02254115
480.5122.924950.02243663
483.2932.9248210.02233151
486.092.9246930.02222578
488.9032.9245660.02211944
491.7332.9244410.02201249
494.5792.9243180.02190491
497.4412.9241950.02179672
5002.9240880.0217
500.322.9240750.02168783
503.2162.9239550.02157781
506.1282.9238380.02146716
509.0582.9237210.02135587
512.0042.9236060.02124393
514.9672.9234920.02113134
517.9472.9233790.02101811
520.9452.9232680.02090421
523.962.9231580.02078966
526.322.9230740.0207
526.9932.923050.020677
530.0432.9229420.02057269
533.112.9228360.02046777
536.1962.9227310.02036225
539.2992.9226280.02025612
542.422.9225250.02014938
545.5592.9224240.02004202
548.7172.9223240.01993403
551.8932.9222250.01982542
555.0872.9221270.01971618
555.562.9221130.0197
558.2992.9220310.01962456
561.5312.9219350.01953557
564.7812.9218410.01944607
568.0492.9217470.01935605
571.3372.9216550.01926551
574.6432.9215640.01917444
577.9692.9214740.01908285
581.3142.9213850.01899073
584.6792.9212970.01889808
588.0632.921210.01880489
588.242.9212050.0188
591.4662.9211240.01872102
594.8892.9210390.01863721
598.3322.9209550.01855291
601.7952.9208720.01846813
605.2782.920790.01838286
608.7812.9207090.01829709
612.3042.9206290.01821083
615.8482.9205490.01812406
619.4122.9204710.0180368
622.9972.9203940.01794903
6252.9203510.0179
626.6032.9203170.01786538
630.232.9202410.01778705
633.8772.9201670.01770827
637.5462.9200930.01762904
641.2352.920020.01754934
644.9472.9199480.01746919
648.6792.9198760.01738857
652.4342.9198060.01730748
656.212.9197360.01722593
660.0082.9196670.0171439
663.8272.9195990.0170614
666.672.9195490.017
667.6692.9195320.01697482
671.5332.9194650.01687744
675.422.9193990.0167795
679.3292.9193340.016681
683.2612.919270.01658192
687.2152.9192070.01648227
691.1922.9191440.01638205
695.1932.9190820.01628124
699.2162.9190210.01617985
703.2632.918960.01607787
707.3332.91890.01597531
711.4272.9188410.01587215
714.292.91880.0158
715.5442.9187820.01577717
719.6862.9187240.01570179
723.8512.9186670.01562598
728.042.9186110.01554972
732.2542.9185550.01547303
736.4922.91850.01539589
740.7542.9184450.01531831
745.0412.9183910.01524027
749.3532.9183380.01516179
753.692.9182850.01508285
758.0522.9182330.01500345
762.442.9181820.01492359
766.8522.9181310.01484328
769.232.9181040.0148
771.2912.918080.01477107
775.7552.9180310.01470839
780.2442.9179810.01464535
784.762.9179330.01458195
789.3022.9178850.01451818
793.872.9178370.01445404
798.4652.917790.01438953
803.0862.9177440.01432465
807.7342.9176980.01425939
812.4082.9176530.01419375
817.112.9176080.01412773
821.8392.9175640.01406133
826.5962.917520.01399455
831.382.9174770.01392738
833.332.9174590.0139
836.1922.9174340.01386978
841.0312.9173920.01381868
845.8992.917350.01376728
850.7942.9173090.01371558
855.7182.9172680.01366359
860.6712.9172270.01361129
865.6522.9171870.01355869
870.6622.9171480.01350579
875.7012.9171090.01345258
880.7692.9170710.01339906
885.8672.9170320.01334523
890.9942.9169950.01329109
896.1512.9169580.01323664
901.3372.9169210.01318187
906.5542.9168840.01312678
909.092.9168670.0131
911.82.9168490.01307317
917.0772.9168130.01302093
922.3852.9167780.01296838
927.7232.9167430.01291553
933.0932.9167090.01286238
938.4932.9166750.01280891
943.9252.9166410.01275514
949.3882.9166080.01270106
954.8822.9165760.01264666
960.4092.9165430.01259195
965.9672.9165110.01253692
971.5582.916480.01248157
977.1812.9164480.01242591
982.8362.9164170.01236992
988.5252.9163870.01231361
994.2462.9163570.01225697
10002.9163270.0122

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
—