Optical constants

Refractive index of CaF₂ (Calcium fluoride)

Daimon and Masumura 2002: n 0.138–2.326 µm; 25 °C

Data: formula 2
Range: 0.138–2.326 µm
Licence: CC0-1.0

Axis Log x Log y

Click the plot to set the calculator wavelength.

At one wavelength

Refractive index n: 1.43383
Extinction coefficient k: 0

Permittivity ε₁: 2.05586
Permittivity ε₂: 0

Absorption coefficient α: 0 cm⁻¹
Penetration depth δ = λ/(2πk): — nm

Abbe number V_d: 95.151
Chromatic dispersion dn/dλ: -0.0235923 µm⁻¹

Group index n_g: 1.44769
Group velocity dispersion: 41.2954 fs²/mm

Dispersion parameter D: -225.288 ps/(nm·km)
Photon energy: 2.11001 eV

ε = (n + ik)², α = 4πk/λ, n_g = 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): Daimon and Masumura 2002: n 0.138–2.326 µm; 25 °C
caf2 = ls.fetch_refractiveindex("main", "CaF2", "Daimon-25", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(caf2.range_nm)  # (138, 2326) nm
eps = caf2.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_b2bb9c1aa0a1/lightsmith"
caf2 = ls.Tabulated.model_validate(json.load(urllib.request.urlopen(url)))
print(caf2.source)  # citation and provenance travel with the data

Any dataset here, as the library's Tabulated material (caf2/daimon-masumura-2002-25).

# ... load caf2 as above, then:
sim = ls.Simulation(
    particles=[ls.Particle(shape=ls.Sphere(radius_nm=50), material=caf2)],
    medium_index=1.0,
    wavelengths=ls.WavelengthRange(start_nm=400, stop_nm=1000, num=81),
)
res = ls.solve(sim)  # exact Mie for a sphere
print(res.q_ext)     # extinction efficiency at each wavelength

Same spec runs with DDA, FDTD, BEM or T-matrix: ls.compare(sim, ["mie", "dda"]).

import json, urllib.request
import lightsmith as ls

url = "https://materials.lightsmith.dev/v1/datasets/ds_b2bb9c1aa0a1/lightsmith?model=drude_lorentz"
caf2_dl = ls.DrudeLorentz.model_validate(json.load(urllib.request.urlopen(url)))

A dispersive Drude–Lorentz model for time-domain solvers.

Materials guide Open a sphere of it in Studio Quick start Ask the community

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

Sellmeier (C in µm²) (formula 2), λ in µm

n^{2} - 1 = \frac{0.437387571 λ^{2}}{λ^{2} - 0.00173799328} + \frac{0.449211397 λ^{2}}{λ^{2} - 0.00782718648} + \frac{0.152068715 λ^{2}}{λ^{2} - 0.0124086125} + \frac{13.002042 λ^{2}}{λ^{2} - 4039.76541}

Valid from 0.138 to 2.326 µm.

Coefficients as stored

C_i	Value
C1	0.0
C2	0.437387571
C3	0.00173799328
C4	0.449211397
C5	0.00782718648
C6	0.152068715
C7	0.0124086125
C8	13.002042
C9	4039.76541

Comments and conditions

25 °C, Nitrogen atmosphere

References

M. Daimon and A. Masumura. High-accuracy measurements of the refractive index and its temperature coefficient of calcium fluoride in a wide wavelength range from 138 to 2326 nm. Appl. Opt. 41, 5275-5281 (2002)

doi:10.1364/ao.41.005275 High-accuracy measurements of the refractive index and its temperature coefficient of calcium fluoride in a wide wavelength range from 138 to 2326 nm, Applied Optics (2002)

Cite

Masahiko Daimon and Akira Masumura. High-accuracy measurements of the refractive index and its temperature coefficient of calcium fluoride in a wide wavelength range from 138 to 2326 nm. Applied Optics, 41, 5275 (2002), doi:10.1364/ao.41.005275; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 400 wavelengths, the same grid as the API and the library

CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata

CaF2 (Calcium fluoride), Daimon and Masumura 2002: n 0.138–2.326 µm; 25 °C: n and k versus wavelength
λ (µm)	n
0.138	1.637185
0.13898	1.631289
0.139968	1.625667
0.140962	1.620299
0.141964	1.615166
0.142972	1.610251
0.143988	1.605541
0.145011	1.601022
0.146041	1.596682
0.147079	1.592509
0.148124	1.588495
0.149176	1.584628
0.150236	1.580902
0.151303	1.577308
0.152378	1.573838
0.153461	1.570488
0.154551	1.567249
0.155649	1.564118
0.156755	1.561087
0.157868	1.558153
0.15899	1.555311
0.160119	1.552557
0.161257	1.549886
0.162403	1.547295
0.163556	1.54478
0.164718	1.542338
0.165889	1.539967
0.167067	1.537662
0.168254	1.535422
0.169449	1.533243
0.170653	1.531124
0.171866	1.529062
0.173087	1.527054
0.174316	1.525099
0.175555	1.523195
0.176802	1.52134
0.178058	1.519532
0.179323	1.517769
0.180597	1.516051
0.18188	1.514374
0.183172	1.512739
0.184474	1.511143
0.185784	1.509585
0.187104	1.508065
0.188433	1.50658
0.189772	1.505129
0.19112	1.503712
0.192478	1.502328
0.193845	1.500975
0.195223	1.499652
0.19661	1.49836
0.198006	1.497095
0.199413	1.495859
0.20083	1.49465
0.202257	1.493467
0.203694	1.492309
0.205141	1.491176
0.206598	1.490067
0.208066	1.488982
0.209544	1.487919
0.211033	1.486879
0.212532	1.48586
0.214042	1.484862
0.215563	1.483884
0.217094	1.482926
0.218636	1.481988
0.22019	1.481068
0.221754	1.480167
0.223329	1.479284
0.224916	1.478418
0.226514	1.477569
0.228123	1.476736
0.229744	1.47592
0.231376	1.47512
0.23302	1.474335
0.234675	1.473565
0.236343	1.472809
0.238022	1.472068
0.239713	1.471341
0.241416	1.470628
0.243131	1.469928
0.244858	1.469241
0.246598	1.468566
0.24835	1.467905
0.250114	1.467255
0.251891	1.466617
0.253681	1.465991
0.255483	1.465376
0.257298	1.464772
0.259126	1.464179
0.260967	1.463597
0.262821	1.463025
0.264688	1.462463
0.266568	1.461911
0.268462	1.461369
0.27037	1.460837
0.27229	1.460313
0.274225	1.459799
0.276173	1.459294
0.278135	1.458798
0.280111	1.45831
0.282101	1.457831
0.284105	1.457359
0.286124	1.456896
0.288157	1.456441
0.290204	1.455994
0.292265	1.455554
0.294342	1.455121
0.296433	1.454696
0.298539	1.454278
0.30066	1.453867
0.302796	1.453463
0.304947	1.453066
0.307114	1.452675
0.309295	1.45229
0.311493	1.451912
0.313706	1.451541
0.315935	1.451175
0.318179	1.450815
0.32044	1.450462
0.322716	1.450114
0.325009	1.449771
0.327318	1.449434
0.329643	1.449103
0.331985	1.448777
0.334344	1.448456
0.336719	1.448141
0.339111	1.44783
0.34152	1.447524
0.343947	1.447224
0.34639	1.446928
0.348851	1.446636
0.35133	1.44635
0.353826	1.446068
0.356339	1.44579
0.358871	1.445516
0.361421	1.445247
0.363988	1.444983
0.366574	1.444722
0.369178	1.444465
0.371801	1.444213
0.374443	1.443964
0.377103	1.443719
0.379782	1.443478
0.38248	1.44324
0.385197	1.443007
0.387934	1.442777
0.39069	1.44255
0.393466	1.442327
0.396261	1.442107
0.399076	1.441891
0.401912	1.441677
0.404767	1.441468
0.407643	1.441261
0.410539	1.441057
0.413455	1.440857
0.416393	1.440659
0.419351	1.440464
0.42233	1.440273
0.425331	1.440084
0.428352	1.439898
0.431396	1.439715
0.43446	1.439534
0.437547	1.439356
0.440655	1.439181
0.443786	1.439008
0.446939	1.438838
0.450114	1.438671
0.453312	1.438505
0.456533	1.438343
0.459776	1.438182
0.463042	1.438024
0.466332	1.437868
0.469645	1.437715
0.472982	1.437564
0.476342	1.437414
0.479726	1.437267
0.483134	1.437123
0.486567	1.43698
0.490023	1.436839
0.493505	1.4367
0.497011	1.436563
0.500542	1.436429
0.504098	1.436296
0.507679	1.436164
0.511286	1.436035
0.514918	1.435908
0.518577	1.435782
0.522261	1.435658
0.525971	1.435536
0.529708	1.435415
0.533471	1.435297
0.537261	1.435179
0.541078	1.435064
0.544922	1.43495
0.548794	1.434837
0.552693	1.434726
0.556619	1.434617
0.560574	1.434509
0.564556	1.434402
0.568567	1.434297
0.572606	1.434193
0.576674	1.434091
0.580771	1.43399
0.584897	1.43389
0.589053	1.433792
0.593238	1.433695
0.597452	1.433599
0.601697	1.433505
0.605972	1.433411
0.610277	1.433319
0.614612	1.433228
0.618979	1.433139
0.623376	1.43305
0.627805	1.432962
0.632265	1.432876
0.636757	1.432791
0.641281	1.432706
0.645837	1.432623
0.650425	1.432541
0.655046	1.43246
0.6597	1.432379
0.664387	1.4323
0.669107	1.432222
0.67386	1.432144
0.678648	1.432068
0.683469	1.431992
0.688325	1.431918
0.693215	1.431844
0.69814	1.431771
0.7031	1.431699
0.708095	1.431628
0.713126	1.431557
0.718192	1.431487
0.723294	1.431419
0.728433	1.43135
0.733608	1.431283
0.73882	1.431216
0.744069	1.43115
0.749355	1.431085
0.754679	1.43102
0.76004	1.430957
0.76544	1.430893
0.770878	1.430831
0.776355	1.430769
0.78187	1.430707
0.787425	1.430647
0.793019	1.430587
0.798653	1.430527
0.804327	1.430468
0.810042	1.43041
0.815796	1.430352
0.821592	1.430294
0.827429	1.430237
0.833308	1.430181
0.839228	1.430125
0.84519	1.43007
0.851195	1.430015
0.857242	1.42996
0.863332	1.429907
0.869466	1.429853
0.875643	1.4298
0.881864	1.429747
0.888129	1.429695
0.894438	1.429643
0.900793	1.429591
0.907193	1.42954
0.913638	1.429489
0.920129	1.429439
0.926666	1.429389
0.933249	1.429339
0.939879	1.42929
0.946557	1.42924
0.953281	1.429191
0.960054	1.429143
0.966875	1.429095
0.973744	1.429047
0.980662	1.428999
0.987629	1.428951
0.994645	1.428904
1.00171	1.428857
1.00883	1.42881
1.016	1.428763
1.02321	1.428717
1.03048	1.428671
1.0378	1.428625
1.04518	1.428579
1.0526	1.428533
1.06008	1.428487
1.06761	1.428442
1.0752	1.428397
1.08284	1.428351
1.09053	1.428306
1.09828	1.428261
1.10608	1.428216
1.11394	1.428172
1.12185	1.428127
1.12982	1.428082
1.13785	1.428038
1.14593	1.427993
1.15407	1.427948
1.16227	1.427904
1.17053	1.427859
1.17884	1.427815
1.18722	1.427771
1.19565	1.427726
1.20415	1.427682
1.2127	1.427637
1.22132	1.427593
1.23	1.427548
1.23873	1.427503
1.24753	1.427459
1.2564	1.427414
1.26532	1.427369
1.27431	1.427324
1.28337	1.427279
1.29248	1.427234
1.30167	1.427189
1.31091	1.427143
1.32023	1.427098
1.32961	1.427052
1.33905	1.427007
1.34857	1.426961
1.35815	1.426914
1.3678	1.426868
1.37751	1.426822
1.3873	1.426775
1.39716	1.426728
1.40708	1.426681
1.41708	1.426634
1.42715	1.426586
1.43728	1.426538
1.4475	1.42649
1.45778	1.426442
1.46814	1.426393
1.47857	1.426344
1.48907	1.426295
1.49965	1.426246
1.5103	1.426196
1.52103	1.426146
1.53184	1.426095
1.54272	1.426044
1.55368	1.425993
1.56472	1.425941
1.57584	1.425889
1.58703	1.425837
1.59831	1.425784
1.60966	1.425731
1.6211	1.425678
1.63262	1.425624
1.64421	1.425569
1.6559	1.425514
1.66766	1.425459
1.67951	1.425403
1.69144	1.425347
1.70346	1.42529
1.71556	1.425233
1.72775	1.425175
1.74002	1.425117
1.75238	1.425058
1.76483	1.424998
1.77737	1.424938
1.79	1.424877
1.80272	1.424816
1.81552	1.424754
1.82842	1.424692
1.84141	1.424629
1.85449	1.424565
1.86767	1.424501
1.88094	1.424436
1.8943	1.42437
1.90776	1.424304
1.92131	1.424236
1.93496	1.424169
1.94871	1.4241
1.96255	1.424031
1.9765	1.42396
1.99054	1.42389
2.00468	1.423818
2.01892	1.423745
2.03326	1.423672
2.04771	1.423598
2.06226	1.423523
2.07691	1.423447
2.09166	1.42337
2.10652	1.423293
2.12149	1.423214
2.13656	1.423134
2.15174	1.423054
2.16703	1.422972
2.18242	1.42289
2.19793	1.422807
2.21354	1.422722
2.22927	1.422637
2.24511	1.42255
2.26106	1.422463
2.27712	1.422374
2.2933	1.422284
2.30959	1.422193
2.326	1.422101

Optical transmission calculator

Free-standing sample in vacuum, normal incidence

Transmittance T: —
Reflectance R: —

Fresnel reflection calculator

R_p: —
R_s: —
R = (R_p+R_s)/2: —
Phase φ_p: —
Phase φ_s: —
Brewster angle θ_B: —
Critical angle θ_C: —

CaF₂ (Calcium fluoride): all datasets

About CaF2 (Calcium fluoride)

Calcium fluoride (CaF₂) is an inorganic compound with a cubic crystal structure, exhibiting excellent optical transparency over a wide range of wavelengths, from ultraviolet to infrared. It has a low refractive index (approximately 1.43 at 589 nm) and minimal chromatic dispersion, making it a preferred material for lenses, optical windows, and other components in spectroscopy and high-resolution imaging systems. Due to its low solubility and chemical stability, it is highly resistant to weathering and corrosion, making it suitable for harsh environments. In the realm of laser applications, CaF₂ is often used as an optical gain medium when doped with rare-earth ions such as ytterbium or erbium. The compound is synthesized through various methods, including precipitation from aqueous solutions and high-temperature reactions between calcium and fluorine gas. Its excellent optical, thermal, and chemical properties make calcium fluoride a material of considerable interest for a wide variety of optical and industrial applications. Mineral: Fluorite (fluorspar)

More about CaF2 (Calcium fluoride) →

Provenance

Version: 1 (snapshot c5c2f18)
Source page: refractiveindex.info
Original file: database/data/main/CaF2/nk/Daimon-25.yml
ID: ds_b2bb9c1aa0a1
API: /v1/datasets/ds_b2bb9c1aa0a1

Plot