Optical constants

Refractive index of SrF2 (Strontium fluoride)

Bosomworth 1967: n,k 46.5–1000 µm; 80 K

Data
formula 4 + tabulated k
Range
46.5–999.9 µm
Temperature
80 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 46512-1e+06 nm only; k = 0 elsewhere in the n range 46500-999900 nm.

At one wavelength

Range 46.5–999.9 µm
Refractive index n
2.49309
Extinction coefficient k
0.00269203
Permittivity ε1
6.2155
Permittivity ε2
0.013423
Absorption coefficient α
1.56616 cm⁻¹
Penetration depth δ = λ/(2πk)
1.27701e+07 nm
Abbe number Vd
—
Chromatic dispersion dn/dλ
-0.000340319 µm⁻¹
Group index ng
2.5666
Group velocity dispersion
88494.8 fs²/mm
Dispersion parameter D
-3.57282 ps/(nm·km)
Photon energy
0.00574001 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

# SrF2 (Strontium fluoride): Bosomworth 1967: n,k 46.5–1000 µm; 80 K
srf2 = ls.fetch_refractiveindex("main", "SrF2", "Bosomworth-80K", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(srf2.range_nm)  # (46500, 999900) nm
eps = srf2.eps([216000])  # 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+6.04λ2.0λ2−44.4442.0−4088.9λ0.0λ2−44.4442.0

Valid from 46.5 to 999.9 µm.

Coefficients as stored
CiValue
C10.0
C26.04
C32.0
C444.444
C52.0
C6-4088.9
C70.0
C844.444
C92.0

Comments and conditions

80 K

Conditions

temperature
80 K
Notes on the source data (kept exactly as published):
  • k data cover 46512-1e+06 nm only; k = 0 elsewhere in the n range 46500-999900 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 605 wavelengths, the same grid as the API and the library
SrF2 (Strontium fluoride), Bosomworth 1967: n,k 46.5–1000 µm; 80 K: n and k versus wavelength
λ (µm)nk
46.56.9266620
46.5126.9086750.058
46.7296.6091470.0416
46.8596.4501670.03590352
46.9486.3487360.032
47.176.118790.032
47.22076.0703810.03279531
47.3935.9156320.0355
47.58525.7590290.03754092
47.6195.7330320.0379
47.8475.5685170.0367
47.95255.4981660.03582836
48.0775.4193660.0348
48.3095.2833990.0329
48.32275.2757890.03280105
48.5445.1583350.0312
48.69575.0835260.03023581
48.785.0437770.0297
49.024.9371060.0277
49.07164.915340.02735743
49.2614.8386870.0261
49.45044.7667530.02493565
49.5054.7468280.0246
49.7514.6612030.0233
49.83214.6343640.02294161
504.580860.0222
50.21684.515540.02133626
50.2514.50560.0212
50.5054.4346670.0203
50.60444.4082070.01998924
50.7614.367940.0195
50.99514.3107040.01877698
51.024.3048080.0187
51.2824.2449830.0182
51.38874.2216870.01811915
51.5464.1884170.018
51.78544.1400510.01782066
51.8134.1346470.0178
52.0834.083470.0176
52.18524.0648830.01748773
52.3564.0347020.0173
52.5883.9954170.01704782
52.6323.9881780.017
52.913.9439020.0167
52.99393.9310080.0165805
53.1913.9015640.0163
53.4033.8711070.01585362
53.4763.8609040.0157
53.7633.8220940.015
53.81533.8152430.01487427
54.0543.7847580.0143
54.23073.7630130.01399951
54.3483.748940.0138
54.6453.7145510.0133
54.64933.7140640.01329425
54.9453.6815090.0129
55.07123.668090.01273398
55.2493.6496360.0125
55.49633.6248250.0121778
55.5563.6189760.0121
55.8663.5894620.0118
55.92473.584030.01174393
56.183.5609460.0115
56.35643.5454990.01133307
56.4973.5334660.0112
56.79143.5090450.01092484
56.8183.506890.0109
57.1433.4811790.0107
57.22983.4745040.01064706
57.4713.4563690.0105
57.67163.4417270.01043958
57.8033.4323450.0104
58.11683.4105830.01021378
58.143.4090080.0102
58.483.3864650.0101
58.56543.3809530.0101
58.8243.3646170.0101
59.01753.3527280.01021121
59.1723.3434350.0103
59.47313.3258120.01038553
59.5243.3228930.0104
59.883.3029670.0104
59.93223.3001160.0104
60.2413.2835810.0104
60.39483.2755590.01044214
60.6063.2647680.0105
60.8613.2520680.0105
60.9763.2464580.0105
61.33083.2295770.0105
61.353.2286830.0105
61.7283.2114240.0106
61.80433.2080230.0106
62.1123.1945740.0106
62.28143.1873510.0106
62.53.1782080.0106
62.76213.1675080.0106
62.8933.1622690.0106
63.24663.1484460.01051115
63.2913.1467450.0105
63.6943.1316230.0103
63.73483.1301220.01028003
64.1033.1168560.0101
64.22683.1124950.01003404
64.5163.1025050.00988
64.72263.0955260.009756717
64.9353.0884890.00963
65.22223.0791810.009453863
65.3593.0748330.00937
65.72573.0634280.009139737
65.7893.0614960.0091
66.2253.0484710.00841
66.23313.0482350.008404884
66.6673.0357520.00813
66.74443.0335740.008072893
67.1143.0233590.0078
67.25963.019420.007703803
67.5683.0112290.0075
67.77883.0057470.007376012
68.0272.999410.00723
68.3022.9925330.007082473
68.4932.9878440.00698
68.82922.9797560.006809393
68.9662.9765260.00674
69.36062.9673960.006525387
69.4442.96550.00648
69.8962.9554330.006266101
69.932.9546890.00625
70.4232.9441140.00607
70.43552.9438510.006065731
70.9222.9337920.0059
70.97922.9326310.005879675
71.4292.9236760.00572
71.52722.9217590.00568747
71.9422.9138030.00555
72.07932.911220.005513174
72.4642.9041110.00541
72.63572.9009990.005371047
72.9932.8946370.00529
73.19642.8910830.005244459
73.5292.8853750.00517
73.76142.881460.005123084
74.0742.8762890.00506
74.33082.8721170.005013555
74.6272.8673930.00496
74.90462.8630450.004910512
75.1882.8586850.00486
75.48282.8542310.004808273
75.7582.8501480.00476
76.06552.8456670.004712115
76.3362.8417950.00467
76.65272.8373420.004621442
76.9232.8336080.00458
77.24442.8292470.004536857
77.5192.8255870.0045
77.84072.8213750.004457532
78.1252.8177170.00442
78.44162.8137150.00437882
78.742.810010.00434
79.04712.8062620.004305605
79.3652.8024510.00427
79.65732.7990070.004233176
802.795040.00419
80.27222.7919430.00416468
80.6452.7877760.00413
80.89182.7850640.00410366
81.3012.7806480.00406
81.51632.7783630.004040606
81.9672.7736640.004
82.14552.7718340.003984201
82.6452.7668050.00394
82.77962.7654720.003928258
83.3332.7600890.00388
83.41872.759270.003873891
84.0342.7534870.00383
84.06262.7532230.003827992
84.71152.7473260.003782423
84.7462.7470180.00378
85.36542.7415750.003737222
85.472.7406720.00373
86.02442.7359640.003699911
86.2072.7344410.00369
86.68842.7304890.003670742
86.9572.7283250.00366
87.35762.7251460.00363897
87.7192.7223310.00362
88.0322.7199310.003607916
88.4962.7164370.00359
88.71152.714840.003584544
89.2862.7106580.00357
89.39632.7098680.003565884
90.08642.7050130.003540134
90.092.7049880.00354
90.78182.700270.003523106
90.9092.6994190.00352
91.48262.6956370.003513122
91.7432.6939510.00351
92.18882.691110.003499511
92.5932.6885810.00349
92.90042.6866860.003486446
93.4582.6833130.00348
93.61762.6823620.003478191
94.342.6781370.00347
94.34022.6781360.003469998
95.06852.6740030.003461888
95.2382.6730590.00346
95.80232.6699630.003453839
96.1542.6680690.00345
96.54192.6660120.003445843
97.0872.6631740.00344
97.28712.6621470.00344
98.03812.6583670.00344
98.0392.6583620.00344
98.79492.6546690.00344
99.012.6536370.00344
99.55752.651050.003434469
1002.6489990.00343
100.3262.6475090.00343
101.012.6444440.00343
101.1012.6440440.00343
101.8812.6406520.00343
102.042.6399730.00343
102.6672.6373320.00343
103.092.6355870.00343
103.462.6340810.00343
104.172.6312470.00343
104.2592.6308990.00343
105.0632.6277830.00343
105.262.6270350.00343
105.8742.6247310.00343
106.382.6228720.00343
106.6922.6217420.00343271
107.5152.6188140.003439872
107.532.6187630.00344
108.3452.6159460.003446968
108.72.6147450.00345
109.1822.6131360.00345
109.892.6108170.00345
110.0242.6103830.003451102
110.8742.6076860.003458063
111.112.6069490.00346
111.732.6050420.003464957
112.362.6031420.00347
112.5922.6024520.003471813
113.4612.5999120.003478603
113.642.5993990.00348
114.3372.5974230.003485362
114.942.5957490.00349
115.222.5949830.003492087
116.1092.5925910.003498725
116.282.5921390.0035
117.0052.5902460.00351059
117.652.5885990.00352
117.9092.5879470.003521847
118.8192.5856920.003528349
119.052.5851280.00353
119.7362.583480.003539594
120.482.581730.00355
120.662.5813110.003551226
121.5922.5791840.003557563
121.952.5783810.00356
122.532.5770980.003567686
123.462.5750860.00358
123.4762.5750510.00358021
124.4292.5730430.003592589
1252.5718660.0036
125.392.5710730.003604935
126.3582.569140.003617187
126.582.5687040.00362
127.3332.5672440.003633862
128.212.5655820.00365
128.3162.5653830.003651279
129.3072.5635570.003663213
129.872.562540.00367
130.3052.5617650.003675085
131.3112.5600060.00368685
131.582.5595430.00369
132.3242.558280.003698506
133.332.5566110.00371
133.3462.5565850.003710174
134.3752.5549220.003721548
135.142.5537140.00373
135.4122.5532890.003731472
136.4582.5516860.003737123
136.992.5508860.00374
137.5112.5501130.003742743
138.5732.5485680.003748329
138.892.5481130.00375
139.6422.5470510.00375
140.722.5455610.00375
140.852.5453840.00375
141.8062.5440980.00375
142.862.5427150.00375
142.9012.5426620.003749801
144.0042.5412510.003744472
144.932.5400950.00374
145.1162.5398660.003739127
146.2362.5385050.003733868
147.062.5375270.00373
147.3652.5371690.003727215
148.5032.5358570.003716826
149.252.5350120.00371
149.6492.5345670.003706486
150.8042.5333010.003696308
151.522.5325320.00369
151.9682.5320570.003686153
153.1412.5308340.003676084
153.852.5301110.00367
154.3232.5296340.003666055
155.5152.5284540.003656128
156.252.527740.00365
156.7152.5272950.003644373
157.9252.5261560.003629739
158.732.5254140.00362
159.1442.5250370.003613531
160.3722.5239370.003594336
161.292.5231340.00358
161.612.5228570.003575145
162.8582.5217950.003556243
163.932.5209040.00354
164.1152.5207520.003536621
165.3822.5197270.003513503
166.6592.5187190.003490207
166.672.518710.00349
167.9452.5177280.003467391
169.2422.5167550.003444404
169.492.5165710.00344
170.5482.5157980.00341826
171.8652.5148580.003391208
172.412.5144750.00338
173.1912.5139340.00336453
174.5282.5130250.003338056
175.442.5124180.00332
175.8752.5121320.003308871
177.2332.5112540.003274171
178.572.510410.00324
178.6012.5103910.003239328
179.982.5095420.003209633
181.3692.5087080.003179709
181.822.5084420.00317
182.7692.5078880.003150282
184.182.5070820.003120976
185.192.5065170.0031
185.6022.5062890.003092919
187.0352.505510.003068287
188.4782.5047440.003043466
188.682.5046380.00304
189.9332.503990.003019283
191.42.5032490.002995049
192.312.5027980.00298
192.8772.5025210.00297248
194.3662.5018040.002952734
195.8662.50110.002932835
196.082.5010010.00293
197.3782.5004070.002910129
198.9022.4997260.002886808
2002.4992450.00287
200.4372.4990560.002864641
201.9852.4983970.00284568
203.5442.4977490.002826572
204.082.497530.00282
205.1152.4971120.002807824
206.6982.4964860.002789196
208.2942.4958690.002770425
208.332.4958550.00277
209.9022.4952630.0027523
211.5222.4946670.002734053
212.772.4942170.00272
213.1552.494080.002716667
214.82.4935030.002702421
216.4582.4929360.002688065
217.392.4926230.00268
218.1292.4923780.002672346
219.8132.4918290.002654915
221.512.4912890.00263735
222.222.4910670.00263
223.222.4907580.0026201
224.9432.4902350.002603039
226.6792.4897210.002585847
227.272.4895490.00258
228.4292.4892160.002569042
230.1932.4887180.002552376
231.972.4882290.002535581
232.562.4880690.00253
233.762.4877480.002519168
235.5652.4872740.002502882
237.3832.4868080.00248647
238.12.4866270.00248
239.2162.486350.002472306
241.0622.4858990.002459571
242.9232.4854550.002446738
243.92.4852260.00244
244.7982.4850180.00243411
246.6882.4845890.002421718
248.5922.4841660.002409231
2502.483860.0024
250.5112.4837510.00239681
252.4452.4833410.002384743
254.3942.4829390.002372582
256.3572.4825430.002360328
256.412.4825320.00236
258.3362.4821530.002348584
260.3312.481770.002336767
262.342.4813920.002324858
263.162.4812410.00232
264.3652.4810210.002311524
266.4062.4806560.002297173
268.4622.4802960.002282711
270.272.4799870.00227
270.5352.4799430.002268237
272.6232.4795940.002254333
274.7282.4792520.002240322
276.8482.4789150.002226202
277.782.4787690.00222
278.9852.4785830.002212399
281.1392.4782570.00219882
283.3092.4779350.002185137
285.4962.4776190.002171348
285.712.4775890.00217
287.72.4773080.002160534
289.9212.4770020.002149971
292.1592.4767010.002139327
294.122.4764420.00213
294.4142.4764040.002128679
296.6872.4761120.002118476
298.9772.4758250.002108194
301.2852.4755420.002097833
303.032.4753330.00209
303.6112.4752640.002087546
305.9552.474990.002077647
308.3162.4747210.002067671
310.6962.4744560.002057618
312.52.4742590.00205
313.0952.4741950.00204764
315.5122.4739380.002038049
317.9472.4736850.002028384
320.4022.4734360.002018645
322.582.473220.00201
322.8752.4731910.002008903
325.3672.472950.001999629
327.8792.4727130.001990283
330.412.4724790.001980866
332.962.4722490.001971375
333.332.4722160.00197
335.5312.4720230.001962345
338.1212.47180.001953336
340.7312.4715810.001944258
343.3612.4713650.001935109
344.832.4712470.00193
346.0122.4711530.001926161
348.6832.4709440.001917481
351.3742.4707380.001908735
354.0872.4705360.001899922
356.822.4703360.00189104
357.142.4703130.00189
359.5742.470140.00188264
362.352.4699470.001874248
365.1472.4697570.001865791
367.9662.4695690.001857269
370.372.4694130.00185
370.8062.4693850.001848775
373.6692.4692040.00184074
376.5532.4690250.001832644
379.462.4688490.001824484
382.3892.4686760.001816262
384.622.4685470.00181
385.3412.4685060.001808125
388.3162.4683380.001800389
391.3132.4681730.001792593
394.3342.4680110.001784737
397.3782.4678510.00177682
4002.4677160.00177
400.4452.4676940.001769199
403.5362.4675390.001763636
406.6522.4673860.00175803
409.7912.4672360.00175238
412.9542.4670880.001746688
416.1422.4669420.001740951
416.672.4669190.00174
419.3542.4667990.001734072
422.5912.4666580.001726922
425.8532.4665190.001719716
429.1412.4663820.001712456
432.4532.4662480.001705139
434.782.4661550.0017
435.7922.4661150.001698977
439.1562.4659850.001695573
442.5462.4658560.001692144
445.9622.465730.001688688
449.4042.4656060.001685205
452.8742.4654830.001681696
454.552.4654250.00168
456.3692.4653620.001677478
459.8922.4652440.001672594
463.4422.4651270.001667672
467.022.4650120.001662713
470.6252.4648980.001657715
474.2582.4647870.001652678
476.192.4647280.00165
477.9192.4646770.001648548
481.6082.4645690.001645449
485.3262.4644620.001642326
489.0722.4643570.001639179
492.8482.4642540.001636008
496.6522.4641530.001632812
5002.4640650.00163
500.4862.4640530.001629631
504.3492.4639540.001626695
508.2432.4638570.001623737
512.1662.4637620.001620755
516.122.4636680.001617751
520.1042.4635750.001614724
524.1192.4634840.001611673
526.322.4634350.00161
528.1642.4633940.001609369
532.2412.4633060.001607975
536.352.4632190.00160657
540.492.4631330.001605154
544.6632.4630490.001603727
548.8672.4629660.001602289
553.1042.4628840.00160084
555.562.4628380.0016
557.3742.4628040.00159889
561.6762.4627250.001596257
566.0122.4626470.001593603
570.3812.462570.00159093
574.7842.4624940.001588235
579.2212.462420.00158552
583.6922.4623470.001582783
588.1982.4622740.001580026
588.242.4622740.00158
592.7392.4622030.001577552
597.3142.4621330.001575063
601.9252.4620650.001572554
606.5722.4619970.001570026
611.2542.461930.001567479
615.9722.4618640.001564912
620.7272.46180.001562325
6252.4617430.00156
625.5192.4617360.001559751
630.3482.4616730.001557433
635.2132.4616110.001555098
640.1172.461550.001552744
645.0582.4614910.001550373
650.0382.4614320.001547983
655.0562.4613730.001545574
660.1122.4613160.001543148
665.2082.461260.001540702
666.672.4612440.00154
670.3432.4612050.001538457
675.5172.461150.001536284
680.7322.4610960.001534094
685.9872.4610430.001531887
691.2822.4609910.001529663
696.6182.460940.001527422
701.9962.4608890.001525163
707.4152.460840.001522887
712.8762.4607910.001520594
714.292.4607780.00152
718.3792.4607420.001518512
723.9242.4606950.001516493
729.5122.4606480.001514459
735.1442.4606020.001512409
740.8192.4605570.001510343
746.5372.4605120.001508261
752.32.4604680.001506163
758.1072.4604250.001504049
763.9592.4603820.001501919
769.232.4603450.0015
769.8572.460340.001499707
775.82.4602990.001496925
781.7882.4602580.001494123
787.8232.4602180.001491298
793.9052.4601790.001488452
800.0332.460140.001485584
806.2092.4601020.001482693
812.4322.4600640.001479781
818.7042.4600270.001476845
825.0242.4599910.001473888
831.3922.4599550.001470907
833.332.4599440.00147
837.812.4599190.001468817
844.2772.4598850.00146711
850.7952.459850.001465389
857.3622.4598160.001463656
863.9812.4597830.001461908
870.652.459750.001460148
877.3712.4597180.001458374
884.1442.4596860.001456586
890.9692.4596550.001454784
897.8462.4596240.001452968
904.7772.4595940.001451139
909.092.4595750.00145
911.7622.4595640.001449118
918.82.4595350.001446796
925.8922.4595060.001444455
933.042.4594770.001442097
940.2422.4594490.00143972
947.52.4594210.001437325
954.8142.4593940.001434911
962.1852.4593670.001432479
969.6122.4593410.001430028
977.0972.4593150.001427558
984.642.4592890.001425069
992.2412.4592640.001422561
999.92.4592390.001420033

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
—