Optical constants

Refractive index of H2O:C3H5(OH)3 (Water:Glycerol)

Gupta et al. 2022: n 0.40–0.71 µm; 0 wt% glycerol

Data
formula 5
Range
0.4–0.71 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–0.71 µm
Refractive index n
1.33255
Extinction coefficient k
0
Permittivity ε1
1.77568
Permittivity ε2
0
Absorption coefficient α
0 cm⁻¹
Penetration depth δ = λ/(2πk)
— nm
Abbe number Vd
55.091
Chromatic dispersion dn/dλ
-0.0311967 µm⁻¹
Group index ng
1.35088
Group velocity dispersion
56.8889 fs²/mm
Dispersion parameter D
-310.359 ps/(nm·km)
Photon energy
2.11001 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

# H2O:C3H5(OH)3 (Water:Glycerol): Gupta et al. 2022: n 0.40–0.71 µm; 0 wt% glycerol
h2o_c3h5_oh_3 = ls.fetch_refractiveindex("other", "H2O-C3H5_OH_3", "Gupta-0", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(h2o_c3h5_oh_3.range_nm)  # (400, 710) nm
eps = h2o_c3h5_oh_3.eps([633])  # 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

Cauchy (formula 5), λ in µm
n=1.32334+0.00319237121⁢λ−2.0−4.78767106898×10-6⁢λ−4.0

Valid from 0.4 to 0.71 µm.

Coefficients as stored
CiValue
C11.32334
C20.00319237121
C3-2.0
C4-4.78767106898e-06
C5-4.0

Comments and conditions

Water. Room temperature.

References

V. Gupta, O. Aftenieva, P. T. Probst, S. Sarkar, A. M. Steiner, N. Vogel, A. Fery, T. A. F. König. Advanced colloidal sensors enabled by an out-of-plane lattice resonance. Adv. Photonics Res. 2022, 2200152 (see supporting information)
  • doi:10.1002/adpr.202200152 Advanced Colloidal Sensors Enabled by an Out‐of‐Plane Lattice Resonance, Advanced Photonics Research (2022)

Cite

Vaibhav Gupta et al.. Advanced Colloidal Sensors Enabled by an Out‐of‐Plane Lattice Resonance. Advanced Photonics Research, 3, 2200152 (2022), doi:10.1002/adpr.202200152; 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
H2O:C3H5(OH)3 (Water:Glycerol), Gupta et al. 2022: n 0.40–0.71 µm; 0 wt% glycerol: n and k versus wavelength
λ (µm)n
0.41.343105
0.4005761.343049
0.4011521.342993
0.4017291.342937
0.4023081.342881
0.4028871.342826
0.4034661.34277
0.4040471.342715
0.4046281.34266
0.4052111.342605
0.4057941.34255
0.4063781.342495
0.4069631.342441
0.4075481.342387
0.4081351.342332
0.4087221.342278
0.4093111.342224
0.40991.342171
0.4104891.342117
0.411081.342064
0.4116721.34201
0.4122641.341957
0.4128581.341904
0.4134521.341851
0.4140471.341799
0.4146431.341746
0.4152391.341694
0.4158371.341641
0.4164351.341589
0.4170351.341537
0.4176351.341486
0.4182361.341434
0.4188381.341382
0.4194411.341331
0.4200441.34128
0.4206491.341229
0.4212541.341178
0.421861.341127
0.4224671.341076
0.4230751.341026
0.4236841.340975
0.4242941.340925
0.4249051.340875
0.4255161.340825
0.4261281.340775
0.4267421.340726
0.4273561.340676
0.4279711.340627
0.4285871.340578
0.4292041.340528
0.4298211.340479
0.430441.340431
0.4310591.340382
0.431681.340333
0.4323011.340285
0.4329231.340237
0.4335461.340189
0.434171.340141
0.4347951.340093
0.435421.340045
0.4360471.339997
0.4366751.33995
0.4373031.339903
0.4379321.339855
0.4385631.339808
0.4391941.339761
0.4398261.339715
0.4404591.339668
0.4410931.339621
0.4417281.339575
0.4423631.339529
0.4431.339483
0.4436371.339437
0.4442761.339391
0.4449151.339345
0.4455551.339299
0.4461971.339254
0.4468391.339209
0.4474821.339163
0.4481261.339118
0.4487711.339073
0.4494171.339028
0.4500631.338984
0.4507111.338939
0.451361.338895
0.4520091.33885
0.452661.338806
0.4533111.338762
0.4539641.338718
0.4546171.338674
0.4552711.33863
0.4559261.338587
0.4565821.338543
0.457241.3385
0.4578981.338457
0.4585571.338414
0.4592171.338371
0.4598771.338328
0.4605391.338285
0.4612021.338242
0.4618661.3382
0.462531.338158
0.4631961.338115
0.4638631.338073
0.464531.338031
0.4651991.337989
0.4658681.337947
0.4665391.337906
0.467211.337864
0.4678821.337823
0.4685561.337782
0.469231.33774
0.4699051.337699
0.4705821.337658
0.4712591.337617
0.4719371.337577
0.4726161.337536
0.4732961.337496
0.4739781.337455
0.474661.337415
0.4753431.337375
0.4760271.337335
0.4767121.337295
0.4773981.337255
0.4780851.337215
0.4787731.337176
0.4794621.337136
0.4801521.337097
0.4808431.337058
0.4815351.337019
0.4822281.33698
0.4829221.336941
0.4836171.336902
0.4843131.336863
0.485011.336824
0.4857081.336786
0.4864071.336748
0.4871071.336709
0.4878081.336671
0.488511.336633
0.4892131.336595
0.4899171.336557
0.4906221.33652
0.4913281.336482
0.4920351.336445
0.4927431.336407
0.4934531.33637
0.4941631.336333
0.4948741.336296
0.4955861.336259
0.4962991.336222
0.4970131.336185
0.4977291.336148
0.4984451.336112
0.4991621.336075
0.4998811.336039
0.50061.336003
0.5013211.335967
0.5020421.33593
0.5027641.335895
0.5034881.335859
0.5042131.335823
0.5049381.335787
0.5056651.335752
0.5063931.335716
0.5071211.335681
0.5078511.335646
0.5085821.335611
0.5093141.335576
0.5100471.335541
0.5107811.335506
0.5115161.335471
0.5122521.335436
0.5129891.335402
0.5137281.335367
0.5144671.335333
0.5152071.335299
0.5159491.335265
0.5166911.335231
0.5174351.335197
0.518181.335163
0.5189251.335129
0.5196721.335095
0.520421.335062
0.5211691.335028
0.5219191.334995
0.522671.334962
0.5234221.334928
0.5241761.334895
0.524931.334862
0.5256851.334829
0.5264421.334797
0.52721.334764
0.5279581.334731
0.5287181.334699
0.5294791.334666
0.5302411.334634
0.5310041.334602
0.5317681.334569
0.5325331.334537
0.53331.334505
0.5340671.334474
0.5348361.334442
0.5356061.33441
0.5363761.334378
0.5371481.334347
0.5379211.334315
0.5386961.334284
0.5394711.334253
0.5402471.334222
0.5410251.33419
0.5418031.334159
0.5425831.334129
0.5433641.334098
0.5441461.334067
0.5449291.334036
0.5457131.334006
0.5464981.333975
0.5472851.333945
0.5480731.333915
0.5488611.333884
0.5496511.333854
0.5504421.333824
0.5512341.333794
0.5520281.333764
0.5528221.333735
0.5536181.333705
0.5544141.333675
0.5552121.333646
0.5560111.333616
0.5568111.333587
0.5576131.333558
0.5584151.333528
0.5592191.333499
0.5600241.33347
0.560831.333441
0.5616371.333412
0.5624451.333384
0.5632541.333355
0.5640651.333326
0.5648771.333298
0.565691.333269
0.5665041.333241
0.5673191.333213
0.5681361.333184
0.5689531.333156
0.5697721.333128
0.5705921.3331
0.5714131.333072
0.5722351.333044
0.5730591.333017
0.5738841.332989
0.574711.332961
0.5755371.332934
0.5763651.332907
0.5771941.332879
0.5780251.332852
0.5788571.332825
0.579691.332798
0.5805241.332771
0.581361.332744
0.5821961.332717
0.5830341.33269
0.5838731.332663
0.5847131.332636
0.5855551.33261
0.5863981.332583
0.5872421.332557
0.5880871.332531
0.5889331.332504
0.5897811.332478
0.5906291.332452
0.5914791.332426
0.5923311.3324
0.5931831.332374
0.5940371.332348
0.5948921.332322
0.5957481.332297
0.5966051.332271
0.5974641.332246
0.5983231.33222
0.5991851.332195
0.6000471.332169
0.600911.332144
0.6017751.332119
0.6026411.332094
0.6035081.332069
0.6043771.332044
0.6052471.332019
0.6061181.331994
0.606991.331969
0.6078641.331945
0.6087381.33192
0.6096141.331896
0.6104921.331871
0.611371.331847
0.612251.331822
0.6131311.331798
0.6140141.331774
0.6148971.33175
0.6157821.331726
0.6166681.331702
0.6175561.331678
0.6184451.331654
0.6193351.33163
0.6202261.331606
0.6211191.331583
0.6220121.331559
0.6229081.331536
0.6238041.331512
0.6247021.331489
0.6256011.331466
0.6265011.331442
0.6274031.331419
0.6283061.331396
0.629211.331373
0.6301151.33135
0.6310221.331327
0.631931.331304
0.632841.331281
0.6337511.331259
0.6346631.331236
0.6355761.331213
0.6364911.331191
0.6374071.331168
0.6383241.331146
0.6392431.331124
0.6401621.331101
0.6410841.331079
0.6420061.331057
0.642931.331035
0.6438561.331013
0.6447821.330991
0.645711.330969
0.6466391.330947
0.647571.330925
0.6485021.330904
0.6494351.330882
0.650371.330861
0.6513061.330839
0.6522431.330818
0.6531821.330796
0.6541221.330775
0.6550631.330754
0.6560061.330732
0.656951.330711
0.6578951.33069
0.6588421.330669
0.659791.330648
0.660741.330627
0.6616911.330606
0.6626431.330585
0.6635971.330565
0.6645521.330544
0.6655081.330523
0.6664661.330503
0.6674251.330482
0.6683851.330462
0.6693471.330442
0.6703111.330421
0.6712751.330401
0.6722411.330381
0.6732091.330361
0.6741781.330341
0.6751481.33032
0.6761191.3303
0.6770921.330281
0.6780671.330261
0.6790431.330241
0.680021.330221
0.6809991.330201
0.6819791.330182
0.682961.330162
0.6839431.330143
0.6849271.330123
0.6859131.330104
0.68691.330084
0.6878891.330065
0.6888791.330046
0.689871.330027
0.6908631.330008
0.6918571.329988
0.6928531.329969
0.693851.32995
0.6948481.329931
0.6958481.329913
0.696851.329894
0.6978531.329875
0.6988571.329856
0.6998631.329838
0.700871.329819
0.7018781.3298
0.7028891.329782
0.70391.329764
0.7049131.329745
0.7059281.329727
0.7069431.329709
0.7079611.32969
0.708981.329672
0.711.329654

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
—