Optical constants

Refractive index of FK3 (SCHOTT)

FK3: n,k 0.3–2.5 µm

Data
formula 2 + tabulated k
Range
0.3–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–2.5 µm
Refractive index n
1.4645
Extinction coefficient k
1.31389e-08
Permittivity ε1
2.14476
Permittivity ε2
3.84837e-08
Absorption coefficient α
0.00280987 cm⁻¹
Penetration depth δ = λ/(2πk)
7.11777e+09 nm
Abbe number Vd
65.769
Chromatic dispersion dn/dλ
-0.0366848 µm⁻¹
Group index ng
1.48605
Group velocity dispersion
61.3568 fs²/mm
Dispersion parameter D
-334.734 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

# FK3 (SCHOTT): FK3
schott_fk3 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "FK3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_fk3.range_nm)  # (300, 2500) nm
eps = schott_fk3.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=0.973346627λ2λ2−0.00640795469+0.146642231λ2λ2−0.020565293+0.679304225λ2λ2−80.4965389

Valid from 0.3 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C20.973346627
C30.00640795469
C40.146642231
C50.020565293
C60.679304225
C780.4965389

Comments and conditions

inquiry glass

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -4.9e-06 1.23e-08 -1.19e-10 3.45e-07 7.72e-10 0.18
nd
1.4645
Vd
65.77
glass code
464658.227
glass status
special
density
value: 2270
thermal expansion
value: 8.2e-06, temperature range: 243 343; value: 9.4e-06, temperature range: 293 573
dPgF
-0.0003
resistance
acid: 52.4; stain: 3.0; alkali: 2.0; climatic: 2.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.54e-06 K⁻¹ at 633 nm, dn/dT = -1.79e-06 K⁻¹ at 1310 nm, dn/dT = -1.81e-06 K⁻¹ at 1550 nm

References

Cite

SCHOTT Zemax catalog 2017-01-20b (obtained from http://www.schott.com); See also SCHOTT glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 423 wavelengths, the same grid as the API and the library
FK3 (SCHOTT), FK3: n and k versus wavelength
λ (µm)nk
0.31.4957532.860700e-06
0.3015981.4952682.665372e-06
0.3032051.494792.469004e-06
0.3048211.4943182.271589e-06
0.3064451.4938522.073123e-06
0.3080781.4933931.873599e-06
0.3097191.492941.673012e-06
0.311.4928641.638700e-06
0.3113691.4924931.538659e-06
0.3130281.4920521.417464e-06
0.3146961.4916171.295623e-06
0.3163731.4911881.173133e-06
0.3180591.4907641.049990e-06
0.3197531.4903469.261913e-07
0.321.4902869.081700e-07
0.3214571.4899338.469714e-07
0.323171.4895267.750297e-07
0.3248921.4891247.027048e-07
0.3266231.4887276.299944e-07
0.3283631.4883355.568967e-07
0.3301121.4879484.834095e-07
0.3318711.4875674.095307e-07
0.333641.487193.352584e-07
0.3341.4871143.201200e-07
0.3354171.4868183.032644e-07
0.3372041.486452.820098e-07
0.3390011.4860882.606420e-07
0.3408071.485732.391603e-07
0.3426231.4853762.175642e-07
0.3444491.4850271.958529e-07
0.3462841.4846821.740261e-07
0.3481291.4843421.520829e-07
0.3499841.4840061.300228e-07
0.351.4840031.298300e-07
0.3518491.4836741.190798e-07
0.3537231.4833461.081775e-07
0.3556081.4830229.721717e-08
0.3575031.4827028.619842e-08
0.3594071.4823867.512096e-08
0.3613221.4820746.398448e-08
0.3632481.4817665.278866e-08
0.3651.481494.259700e-08
0.3651831.4814624.230663e-08
0.3671291.4811613.921798e-08
0.3690851.4808643.611288e-08
0.371.4807273.466000e-08
0.3710511.4805713.358530e-08
0.3730281.4802813.156422e-08
0.3750161.4799942.953237e-08
0.3770141.4797112.748969e-08
0.3790231.4794322.543613e-08
0.381.4792972.443700e-08
0.3810421.4791552.397700e-08
0.3830721.4788822.308086e-08
0.3851131.4786132.217995e-08
0.3871651.4783462.127423e-08
0.3892281.4780832.036369e-08
0.391.4779852.002300e-08
0.3913021.4778231.992144e-08
0.3933871.4775651.975882e-08
0.3954831.4773111.959533e-08
0.397591.477061.943097e-08
0.3997081.4768121.926574e-08
0.41.4767781.924300e-08
0.4018381.4765661.885074e-08
0.4039791.4763241.839384e-08
0.4051.476211.817600e-08
0.4061321.4760841.812455e-08
0.4082961.4758471.802616e-08
0.4104711.4756131.792725e-08
0.4126581.4753821.782782e-08
0.4148571.4751531.772785e-08
0.4170671.4749271.762735e-08
0.4192891.4747031.752632e-08
0.421.4746321.749400e-08
0.4215231.4744821.728998e-08
0.4237691.4742631.698917e-08
0.4260271.4740471.668676e-08
0.4282971.4738341.638273e-08
0.4305791.4736221.607708e-08
0.4328731.4734131.576981e-08
0.4351791.4732071.546090e-08
0.4361.4731341.535100e-08
0.4374981.4730031.531136e-08
0.4398291.4728011.524969e-08
0.4421731.4726011.518768e-08
0.4445291.4724041.512535e-08
0.4468971.4722091.506268e-08
0.4492781.4720151.499968e-08
0.4516721.4718241.493635e-08
0.4540781.4716361.487267e-08
0.4564981.4714491.480866e-08
0.458931.4712641.474431e-08
0.461.4711841.471600e-08
0.4613751.4710811.459442e-08
0.4638341.4709011.437711e-08
0.4663051.4707221.415864e-08
0.4687891.4705451.393901e-08
0.4712871.470371.371821e-08
0.4737981.4701971.349623e-08
0.4763231.4700261.327307e-08
0.4788611.4698561.304872e-08
0.4814121.4696891.282318e-08
0.4839771.4695231.259643e-08
0.4865561.4693591.236848e-08
0.4891481.4691961.213931e-08
0.4917541.4690361.190892e-08
0.4943741.4688771.167730e-08
0.4970081.468721.144445e-08
0.4996571.4685641.121036e-08
0.51.4685441.118000e-08
0.5023191.468411.123187e-08
0.5049951.4682581.129174e-08
0.5076861.4681071.135193e-08
0.5103911.4679581.141244e-08
0.513111.467811.147327e-08
0.5158441.4676641.153443e-08
0.5185931.4675191.159591e-08
0.5213561.4673761.165772e-08
0.5241341.4672341.171986e-08
0.5269261.4670931.178233e-08
0.5297341.4669541.184513e-08
0.5325561.4668171.190827e-08
0.5353941.4666811.197174e-08
0.5382461.4665461.203555e-08
0.5411141.4664121.209971e-08
0.5439971.466281.216420e-08
0.5461.4661891.220900e-08
0.5468961.4661491.222902e-08
0.549811.4660191.229416e-08
0.5527391.4658911.235964e-08
0.5556841.4657641.242547e-08
0.5586451.4656381.249165e-08
0.5616211.4655131.255818e-08
0.5646141.465391.262507e-08
0.5676221.4652671.269232e-08
0.5706461.4651461.275992e-08
0.5736871.4650261.282788e-08
0.5767431.4649071.289621e-08
0.5798161.4647891.296490e-08
0.581.4647821.296900e-08
0.5829061.4646731.303394e-08
0.5860111.4645571.310336e-08
0.5891341.4644431.317314e-08
0.5922731.4643291.324330e-08
0.5954281.4642171.331383e-08
0.5986011.4641051.338473e-08
0.601791.4639951.345601e-08
0.6049971.4638851.352768e-08
0.608221.4637771.359972e-08
0.6114611.4636691.367215e-08
0.6147191.4635631.374496e-08
0.6179941.4634571.381817e-08
0.621.4633931.386300e-08
0.6212871.4633521.389179e-08
0.6245971.4632481.396586e-08
0.6279251.4631451.404032e-08
0.6312711.4630431.411518e-08
0.6346341.4629421.419044e-08
0.6380151.4628421.426610e-08
0.6414151.4627421.434216e-08
0.6448321.4626441.441862e-08
0.6482681.4625461.449550e-08
0.6517221.4624491.457278e-08
0.6551951.4623531.465048e-08
0.6586851.4622571.472859e-08
0.661.4622211.475800e-08
0.6621951.4621621.480706e-08
0.6657231.4620681.488591e-08
0.669271.4619751.496519e-08
0.6728361.4618831.504489e-08
0.6764211.4617911.512501e-08
0.6800251.46171.520556e-08
0.6836481.4616091.528654e-08
0.6872911.461521.536795e-08
0.6909531.4614311.544980e-08
0.6946341.4613421.553208e-08
0.6983351.4612541.561480e-08
0.71.4612151.565200e-08
0.7020561.4611671.565920e-08
0.7057971.4610811.567230e-08
0.7095571.4609951.568548e-08
0.7133381.460911.569872e-08
0.7171391.4608251.571203e-08
0.720961.4607411.572542e-08
0.7248011.4606571.573887e-08
0.7286631.4605751.575240e-08
0.7325451.4604921.576600e-08
0.7364481.460411.577967e-08
0.7403721.4603291.579341e-08
0.7443171.4602481.580723e-08
0.7482831.4601681.582112e-08
0.752271.4600881.583509e-08
0.7562781.4600091.584913e-08
0.7603071.459931.586324e-08
0.7643581.4598521.587743e-08
0.7684311.4597741.589170e-08
0.7725251.4596961.590604e-08
0.7766411.4596191.592046e-08
0.7807791.4595431.593495e-08
0.7849391.4594671.594952e-08
0.7891211.4593911.596417e-08
0.7933261.4593151.597890e-08
0.7975531.4592411.599371e-08
0.8018021.4591661.600859e-08
0.8060741.4590921.602355e-08
0.8103691.4590181.603860e-08
0.8146871.4589451.605372e-08
0.8190281.4588711.606893e-08
0.8233911.4587991.608421e-08
0.8277791.4587261.609958e-08
0.8321891.4586541.611503e-08
0.8366231.4585821.613056e-08
0.8410811.4585111.614617e-08
0.8455621.458441.616187e-08
0.8500671.4583691.617765e-08
0.8545961.4582981.619352e-08
0.859151.4582281.620947e-08
0.8637271.4581581.622550e-08
0.8683291.4580881.624162e-08
0.8729561.4580181.625783e-08
0.8776071.4579491.627412e-08
0.8822831.457881.629050e-08
0.8869841.4578111.630696e-08
0.891711.4577421.632352e-08
0.8964611.4576741.634016e-08
0.9012381.4576061.635689e-08
0.9060391.4575381.637371e-08
0.9108671.457471.639062e-08
0.915721.4574021.640762e-08
0.9205991.4573341.642471e-08
0.9255041.4572671.644189e-08
0.9304351.45721.645916e-08
0.9353931.4571321.647653e-08
0.9403771.4570651.649399e-08
0.9453871.4569981.651154e-08
0.9504241.4569321.652918e-08
0.9554881.4568651.654692e-08
0.9605791.4567981.656475e-08
0.9656971.4567321.658268e-08
0.9708421.4566651.660070e-08
0.9760151.4565991.661882e-08
0.9812151.4565331.663703e-08
0.9864431.4564671.665535e-08
0.9916991.45641.667376e-08
0.9969831.4563341.669227e-08
1.00231.4562681.671087e-08
1.007641.4562021.672958e-08
1.0131.4561361.674838e-08
1.01841.456071.676729e-08
1.023831.4560041.678630e-08
1.029281.4559381.680540e-08
1.034771.4558721.682461e-08
1.040281.4558061.684393e-08
1.045821.455741.686334e-08
1.05141.4556731.688286e-08
1.0571.4556071.690248e-08
1.061.4555721.691300e-08
1.062631.4555411.764808e-08
1.068291.4554751.923130e-08
1.073981.4554082.082295e-08
1.07971.4553422.242308e-08
1.085461.4552752.403173e-08
1.091241.4552092.564896e-08
1.097061.4551422.727480e-08
1.10291.4550752.890931e-08
1.108781.4550083.055253e-08
1.114681.4549413.220450e-08
1.120621.4548743.386527e-08
1.126591.4548063.553489e-08
1.13261.4547393.721340e-08
1.138631.4546713.890086e-08
1.14471.4546034.059732e-08
1.15081.4545354.230281e-08
1.156931.4544674.401738e-08
1.163091.4543984.574109e-08
1.169291.4543294.747399e-08
1.175521.4542614.921612e-08
1.181781.4541925.096753e-08
1.188081.4541225.272827e-08
1.194411.4540535.449840e-08
1.200771.4539835.627795e-08
1.207171.4539135.806699e-08
1.21361.4538425.986556e-08
1.220071.4537726.167371e-08
1.226571.4537016.349150e-08
1.233111.453636.531897e-08
1.239681.4535586.715618e-08
1.246281.4534876.900318e-08
1.252921.4534157.086002e-08
1.25961.4533427.272675e-08
1.266311.4532697.460343e-08
1.273061.4531967.649011e-08
1.279841.4531237.838683e-08
1.286661.4530498.029367e-08
1.293511.4529758.221067e-08
1.30041.45298.413788e-08
1.307331.4528258.607535e-08
1.31431.452758.802315e-08
1.32131.4526748.998133e-08
1.328341.4525989.194994e-08
1.335421.4525229.392905e-08
1.342531.4524459.591869e-08
1.349691.4523679.791894e-08
1.356881.4522899.992984e-08
1.364111.4522111.019515e-07
1.371381.4521321.039839e-07
1.378681.4520531.060271e-07
1.386031.4519731.080812e-07
1.393411.4518921.101462e-07
1.400841.4518121.122223e-07
1.40831.451731.143094e-07
1.415811.4516481.164076e-07
1.423351.4515661.185170e-07
1.430931.4514831.206377e-07
1.438561.4513991.227696e-07
1.446221.4513151.249130e-07
1.453931.451231.270677e-07
1.461671.4511451.292339e-07
1.469461.4510591.314116e-07
1.477291.4509721.336010e-07
1.485161.4508851.358020e-07
1.493081.4507971.380148e-07
1.501031.4507081.402393e-07
1.509031.4506191.424757e-07
1.517071.4505291.447240e-07
1.525151.4504391.469843e-07
1.531.4503841.483400e-07
1.533281.4503471.506251e-07
1.541451.4502551.563201e-07
1.549661.4501621.620455e-07
1.557921.4500691.678014e-07
1.566221.4499751.735879e-07
1.574561.449881.794053e-07
1.582951.4497841.852537e-07
1.591391.4496871.911332e-07
1.599871.449591.970441e-07
1.608391.4494912.029864e-07
1.616961.4493922.089604e-07
1.625571.4492922.149663e-07
1.634241.4491922.210041e-07
1.642941.449092.270741e-07
1.65171.4489872.331765e-07
1.66051.4488842.393114e-07
1.669341.448782.454789e-07
1.678241.4486742.516793e-07
1.687181.4485682.579128e-07
1.696171.4484612.641795e-07
1.705211.4483532.704795e-07
1.714291.4482432.768131e-07
1.723431.4481332.831805e-07
1.732611.4480222.895818e-07
1.741841.447912.960172e-07
1.751121.4477973.024869e-07
1.760451.4476823.089911e-07
1.769831.4475673.155299e-07
1.779261.447453.221035e-07
1.788741.4473333.287122e-07
1.798271.4472143.353561e-07
1.807851.4470943.420354e-07
1.817491.4469733.487503e-07
1.827171.4468513.555009e-07
1.83691.4467273.622875e-07
1.846691.4466023.691103e-07
1.856531.4464773.759695e-07
1.866421.4463493.828651e-07
1.876371.4462213.897976e-07
1.886371.4460913.967669e-07
1.896421.445964.037734e-07
1.906521.4458284.108172e-07
1.916681.4456944.178986e-07
1.926891.4455594.250177e-07
1.937161.4454224.321747e-07
1.947481.4452844.393698e-07
1.957851.4451454.466033e-07
1.968291.4450044.538754e-07
1.971.4449814.550700e-07
1.978771.4448625.403294e-07
1.989321.4447186.427853e-07
1.999921.4445737.457870e-07
2.010571.4444268.493376e-07
2.021281.4442789.534399e-07
2.032051.4441281.058097e-06
2.042881.4439761.163311e-06
2.053771.4438231.269087e-06
2.064711.4436681.375425e-06
2.075711.4435121.482331e-06
2.086771.4433531.589806e-06
2.097891.4431941.697853e-06
2.109061.4430321.806476e-06
2.12031.4428681.915678e-06
2.13161.4427032.025462e-06
2.142961.4425362.135831e-06
2.154371.4423672.246788e-06
2.165851.4421962.358336e-06
2.177391.4420242.470478e-06
2.188991.4418492.583218e-06
2.200661.4416722.696559e-06
2.212381.4414942.810503e-06
2.224171.4413132.925055e-06
2.236021.441133.040216e-06
2.247931.4409463.155992e-06
2.259911.4407593.272384e-06
2.271951.440573.389397e-06
2.284061.4403783.507033e-06
2.296231.4401853.625295e-06
2.308461.4399893.744188e-06
2.320761.4397923.863714e-06
2.3251.4397233.904900e-06
2.333131.4395914.122241e-06
2.345561.4393894.454685e-06
2.358061.4391844.788899e-06
2.370621.4389775.124895e-06
2.383251.4387675.462680e-06
2.395951.4385555.802265e-06
2.408711.438346.143660e-06
2.421551.4381236.486874e-06
2.434451.4379036.831916e-06
2.447421.437687.178796e-06
2.460461.4374557.527525e-06
2.473571.4372277.878112e-06
2.486751.4369978.230567e-06
2.51.4367638.584900e-06

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
—