Optical constants

Refractive index of K-FK5 (SUMITA)

K-FK5: n,k 0.36–1.55 µm

Data
formula 3 + tabulated k
Range
0.36–1.55 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.36–1.55 µm
Refractive index n
1.48749
Extinction coefficient k
2.45299e-08
Permittivity ε1
2.21262
Permittivity ε2
7.29760e-08
Absorption coefficient α
0.00524595 cm⁻¹
Penetration depth δ = λ/(2πk)
3.81246e+09 nm
Abbe number Vd
70.401
Chromatic dispersion dn/dλ
-0.0360333 µm⁻¹
Group index ng
1.50866
Group velocity dispersion
59.4341 fs²/mm
Dispersion parameter D
-324.244 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

# K-FK5 (SUMITA): K-FK5
sumita_k_fk5 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-FK5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_fk5.range_nm)  # (360, 1550) nm
eps = sumita_k_fk5.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

Polynomial (formula 3), λ in µm
n2=2.189197−0.0097642231⁢λ2.0+0.0086917382⁢λ−2.0+0.00023646623⁢λ−4.0−1.7699987×10-5⁢λ−6.0+9.6989631×10-7⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.189197
C2-0.0097642231
C32.0
C40.0086917382
C5-2.0
C60.00023646623
C7-4.0
C8-1.7699987e-05
C9-6.0
C109.6989631e-07
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -7.46e-06 1.15e-08 -2.45e-10 3.01e-07 2.4e-09 0.169
nd
1.48749
Vd
70.4
glass code
487704
density
value: 2450
thermal expansion
value: 8.8e-06, temperature range: 243 343; value: 9.8e-06, temperature range: 293 573
dPgF
0.0032
resistance
acid: 5.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -2.70e-06 K⁻¹ at 633 nm, dn/dT = -2.91e-06 K⁻¹ at 1310 nm, dn/dT = -2.91e-06 K⁻¹ at 1550 nm

References

Cite

SUMITA Zemax catalog 2017-02-02 (obtained from http://www.sumita-opt.co.jp); See also SUMITA optical glass data book; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 416 wavelengths, the same grid as the API and the library
K-FK5 (SUMITA), K-FK5: n and k versus wavelength
λ (µm)nk
0.361.5047872.879200e-08
0.361321.5045792.889757e-08
0.3626441.5043732.900353e-08
0.3639731.5041682.910987e-08
0.3653081.5039662.921661e-08
0.3666471.5037652.932373e-08
0.3679911.5035662.943125e-08
0.369341.5033692.953916e-08
0.371.5032732.959200e-08
0.3706931.5031732.964747e-08
0.3720521.5029792.975618e-08
0.3734161.5027872.986528e-08
0.3747851.5025962.997479e-08
0.3761591.5024073.008469e-08
0.3775371.5022193.019500e-08
0.3789211.5020333.030571e-08
0.381.5018893.039200e-08
0.380311.5018483.041680e-08
0.3817041.5016653.052819e-08
0.3831041.5014843.063998e-08
0.3845081.5013043.075219e-08
0.3859171.5011253.086480e-08
0.3873321.5009483.097783e-08
0.3887521.5007733.109127e-08
0.391.500623.119100e-08
0.3901771.5005983.120515e-08
0.3916071.5004263.131957e-08
0.3930431.5002543.143441e-08
0.3944831.5000843.154967e-08
0.3959291.4999163.166535e-08
0.3973811.4997483.178145e-08
0.3988371.4995823.189798e-08
0.41.4994513.199100e-08
0.4002991.4994183.196444e-08
0.4017671.4992543.183421e-08
0.4032391.4990923.170351e-08
0.4047171.4989313.157232e-08
0.4062011.4987723.144066e-08
0.407691.4986143.130851e-08
0.4091841.4984573.117588e-08
0.4106841.4983013.104276e-08
0.412191.4981463.090916e-08
0.4137011.4979933.077506e-08
0.4152171.4978413.064048e-08
0.4167391.497693.050540e-08
0.4182671.497543.036982e-08
0.41981.4973923.023375e-08
0.421.4973723.021600e-08
0.4213391.4972443.031233e-08
0.4228831.4970983.042345e-08
0.4244331.4969533.053498e-08
0.4259891.4968083.064692e-08
0.4275511.4966653.075927e-08
0.4291181.4965243.087204e-08
0.4306911.4963833.098521e-08
0.432271.4962433.109880e-08
0.4338541.4961043.121281e-08
0.4354451.4959673.132724e-08
0.4370411.495833.144208e-08
0.4386431.4956953.155735e-08
0.441.4955813.165500e-08
0.4402511.495563.167303e-08
0.4418641.4954263.178915e-08
0.4434841.4952943.190568e-08
0.445111.4951623.202265e-08
0.4467411.4950323.214004e-08
0.4483791.4949023.225787e-08
0.4500231.4947743.237612e-08
0.4516721.4946463.249481e-08
0.4533281.4945193.261394e-08
0.454991.4943943.273350e-08
0.4566571.4942693.285350e-08
0.4583311.4941453.297394e-08
0.461.4940233.309400e-08
0.4600111.4940223.309482e-08
0.4616981.49393.321614e-08
0.463391.4937793.333791e-08
0.4650891.4936583.346012e-08
0.4667931.4935393.358279e-08
0.4685051.493423.370590e-08
0.4702221.4933033.382946e-08
0.4719461.4931863.395348e-08
0.4736751.493073.407795e-08
0.4754121.4929553.420288e-08
0.4771541.492843.432827e-08
0.4789041.4927273.445411e-08
0.481.4926573.453300e-08
0.4806591.4926143.458042e-08
0.4824211.4925033.470719e-08
0.4841891.4923913.483442e-08
0.4859641.4922813.496212e-08
0.4877461.4921723.509029e-08
0.4895331.4920633.521893e-08
0.4913281.4919553.534804e-08
0.4931291.4918483.547762e-08
0.4949361.4917423.560768e-08
0.4967511.4916363.573822e-08
0.4985721.4915313.586923e-08
0.51.491453.597200e-08
0.5003991.4914273.589510e-08
0.5022331.4913243.554174e-08
0.5040741.4912213.518710e-08
0.5059221.4911193.483115e-08
0.5077771.4910183.447389e-08
0.5096381.4909173.411533e-08
0.5115061.4908173.375545e-08
0.5133811.4907183.339425e-08
0.5152631.4906193.303173e-08
0.5171521.4905223.266788e-08
0.5190471.4904253.230270e-08
0.520951.4903283.193618e-08
0.522861.4902323.156831e-08
0.5247761.4901373.119910e-08
0.52671.4900433.082853e-08
0.5286311.4899493.045660e-08
0.5305681.4898563.008331e-08
0.5325131.4897632.970866e-08
0.5344651.4896712.933263e-08
0.5364241.489582.895522e-08
0.5383911.4894892.857642e-08
0.5403641.4893992.819624e-08
0.5423451.4893092.781467e-08
0.5443331.489222.743169e-08
0.5463281.4891322.704732e-08
0.5483311.4890442.666153e-08
0.551.4889722.634000e-08
0.5503411.4889572.632359e-08
0.5523581.488872.622647e-08
0.5543831.4887842.612900e-08
0.5564151.4886992.603118e-08
0.5584551.4886142.593299e-08
0.5605021.488532.583444e-08
0.5625561.4884462.573554e-08
0.5646191.4883632.563626e-08
0.5666881.488282.553663e-08
0.5687651.4881982.543663e-08
0.570851.4881162.533627e-08
0.5729431.4880352.523553e-08
0.5750431.4879542.513443e-08
0.5771511.4878742.503296e-08
0.5792671.4877942.493111e-08
0.581391.4877152.482889e-08
0.5835211.4876362.472630e-08
0.585661.4875582.462333e-08
0.5878071.4874812.451998e-08
0.5899611.4874032.441625e-08
0.5921241.4873272.431215e-08
0.5942951.4872512.420766e-08
0.5964731.4871752.410279e-08
0.5986591.4870992.399753e-08
0.61.4870542.393300e-08
0.6008541.4870252.396707e-08
0.6030561.486952.405495e-08
0.6052671.4868762.414315e-08
0.6074861.4868032.423168e-08
0.6097121.486732.432053e-08
0.6119471.4866572.440970e-08
0.6141911.4865852.449920e-08
0.6164421.4865132.458903e-08
0.6187021.4864422.467919e-08
0.620971.4863712.476968e-08
0.6232461.48632.486051e-08
0.625531.486232.495166e-08
0.6278231.486162.504315e-08
0.6301251.4860912.513497e-08
0.6324341.4860222.522713e-08
0.6347531.4859542.531963e-08
0.6370791.4858852.541247e-08
0.6394151.4858182.550565e-08
0.6417591.485752.559917e-08
0.6441111.4856832.569303e-08
0.6464721.4856172.578724e-08
0.6488421.485552.588179e-08
0.651.4855182.592800e-08
0.651221.4854842.570367e-08
0.6536071.4854192.526482e-08
0.6560031.4853542.482437e-08
0.6584081.4852892.438229e-08
0.6608211.4852242.393860e-08
0.6632441.485162.349328e-08
0.6656751.4850962.304633e-08
0.6681151.4850332.259774e-08
0.6705641.484972.214751e-08
0.6730221.4849072.169562e-08
0.6754891.4848442.124208e-08
0.6779651.4847822.078688e-08
0.680451.484722.033001e-08
0.6829451.4846591.987146e-08
0.6854481.4845971.941124e-08
0.6879611.4845361.894932e-08
0.6904821.4844761.848571e-08
0.6930131.4844151.802041e-08
0.6955541.4843551.755339e-08
0.6981031.4842951.708467e-08
0.71.4842511.673600e-08
0.7006621.4842361.670956e-08
0.7032311.4841771.660706e-08
0.7058091.4841181.650418e-08
0.7083961.4840591.640093e-08
0.7109921.4840011.629729e-08
0.7135991.4839431.619328e-08
0.7162141.4838851.608888e-08
0.718841.4838271.598410e-08
0.7214751.483771.587894e-08
0.7241191.4837131.577339e-08
0.7267741.4836561.566746e-08
0.7294381.4835991.556113e-08
0.7321121.4835431.545442e-08
0.7347951.4834871.534732e-08
0.7374891.4834311.523982e-08
0.7401921.4833751.513193e-08
0.7429051.483321.502364e-08
0.7456291.4832651.491496e-08
0.7483621.483211.480588e-08
0.7511051.4831551.469640e-08
0.7538581.4831011.458652e-08
0.7566221.4830461.447623e-08
0.7593951.4829921.436554e-08
0.7621791.4829381.425445e-08
0.7649731.4828851.414294e-08
0.7677771.4828311.403103e-08
0.7705911.4827781.391871e-08
0.7734161.4827251.380598e-08
0.7762511.4826721.369283e-08
0.7790961.4826191.357927e-08
0.7819521.4825671.346529e-08
0.7848181.4825141.335089e-08
0.7876951.4824621.323608e-08
0.7905831.482411.312084e-08
0.7934811.4823581.300519e-08
0.7963891.4823071.288910e-08
0.7993091.4822551.277260e-08
0.81.4822431.274500e-08
0.8022381.4822041.278066e-08
0.8051791.4821531.282751e-08
0.8081311.4821021.287453e-08
0.8110931.4820511.292172e-08
0.8140661.4821.296908e-08
0.817051.481951.301662e-08
0.8200451.4818991.306433e-08
0.8230511.4818491.311222e-08
0.8260681.4817991.316028e-08
0.8290961.4817491.320852e-08
0.8321351.4816991.325694e-08
0.8351861.4816491.330553e-08
0.8382471.48161.335431e-08
0.841321.481551.340326e-08
0.8444041.4815011.345239e-08
0.8474991.4814521.350169e-08
0.8506061.4814031.355119e-08
0.8537241.4813541.360086e-08
0.8568531.4813051.365071e-08
0.8599941.4812561.370075e-08
0.8631461.4812071.375097e-08
0.866311.4811591.380137e-08
0.8694861.481111.385196e-08
0.8726731.4810621.390274e-08
0.8758721.4810141.395370e-08
0.8790821.4809661.400484e-08
0.8823051.4809171.405618e-08
0.8855391.4808691.410770e-08
0.8887851.4808221.415941e-08
0.8920431.4807741.421132e-08
0.8953131.4807261.426341e-08
0.8985951.4806781.431569e-08
0.9018891.4806311.436817e-08
0.9051951.4805831.442083e-08
0.9085131.4805361.447369e-08
0.9118431.4804881.452675e-08
0.9151861.4804411.457999e-08
0.918541.4803941.463344e-08
0.9219071.4803461.468708e-08
0.9252871.4802991.474091e-08
0.9286781.4802521.479494e-08
0.9320831.4802051.484918e-08
0.9354991.4801581.490361e-08
0.9389281.4801111.495824e-08
0.942371.4800641.501307e-08
0.9458241.4800171.506810e-08
0.9492911.479971.512333e-08
0.9527711.4799231.517876e-08
0.9562641.4798761.523440e-08
0.9597691.479831.529024e-08
0.9632871.4797831.534629e-08
0.9668181.4797361.540254e-08
0.9703621.4796891.545900e-08
0.9739191.4796431.551567e-08
0.9774891.4795961.557254e-08
0.9810721.4795491.562962e-08
0.9846681.4795021.568691e-08
0.9882781.4794561.574441e-08
0.9919011.4794091.580212e-08
0.9955361.4793621.586005e-08
0.9991861.4793161.591818e-08
1.002851.4792691.597653e-08
1.006521.4792221.603509e-08
1.010211.4791761.609387e-08
1.013921.4791291.615286e-08
1.017631.4790821.621207e-08
1.021361.4790351.627150e-08
1.025111.4789891.633114e-08
1.028871.4789421.639100e-08
1.032641.4788951.645108e-08
1.036421.4788481.651139e-08
1.040221.4788011.657191e-08
1.044031.4787541.663265e-08
1.047861.4787071.669362e-08
1.05171.478661.675481e-08
1.055561.4786131.681623e-08
1.059431.4785661.687787e-08
1.061.4785591.688700e-08
1.063311.4785191.875769e-08
1.067211.4784722.096035e-08
1.071121.4784242.317109e-08
1.075051.4783772.538993e-08
1.078991.478332.761690e-08
1.082941.4782822.985204e-08
1.086911.4782353.209537e-08
1.09091.4781873.434692e-08
1.094891.478143.660673e-08
1.098911.4780923.887482e-08
1.102941.4780444.115122e-08
1.106981.4779964.343597e-08
1.111041.4779484.572909e-08
1.115111.47794.803062e-08
1.11921.4778525.034058e-08
1.12331.4778045.265902e-08
1.127421.4777565.498595e-08
1.131551.4777075.732141e-08
1.13571.4776595.966543e-08
1.139861.477616.201804e-08
1.144041.4775626.437928e-08
1.148231.4775136.674917e-08
1.152441.4774646.912775e-08
1.156671.4774157.151505e-08
1.160911.4773667.391110e-08
1.165161.4773177.631594e-08
1.169431.4772677.872959e-08
1.173721.4772188.115208e-08
1.178021.4771688.358346e-08
1.182341.4771198.602375e-08
1.186671.4770698.847298e-08
1.191021.4770199.093119e-08
1.195391.4769699.339841e-08
1.199771.4769199.587468e-08
1.204171.4768689.836002e-08
1.208581.4768181.008545e-07
1.213011.4767671.033581e-07
1.217461.4767161.058708e-07
1.221921.4766651.083928e-07
1.22641.4766141.109241e-07
1.23091.4765631.134646e-07
1.235411.4765111.160144e-07
1.239941.476461.185736e-07
1.244481.4764081.211421e-07
1.249041.4763561.237201e-07
1.253621.4763041.263075e-07
1.258221.4762521.289044e-07
1.262831.4761991.315108e-07
1.267461.4761471.341268e-07
1.272111.4760941.367523e-07
1.276771.4760411.393875e-07
1.281451.4759881.420324e-07
1.286151.4759341.446869e-07
1.290861.4758811.473512e-07
1.295591.4758271.500252e-07
1.300341.4757731.527090e-07
1.305111.4757191.554027e-07
1.309891.4756651.581063e-07
1.314691.475611.608197e-07
1.319511.4755551.635431e-07
1.324351.47551.662765e-07
1.32921.4754451.690199e-07
1.334081.475391.717734e-07
1.338971.4753341.745370e-07
1.343881.4752781.773106e-07
1.34881.4752221.800945e-07
1.353751.4751651.828886e-07
1.358711.4751091.856929e-07
1.363691.4750521.885074e-07
1.368691.4749951.913323e-07
1.37371.4749381.941676e-07
1.378741.474881.970132e-07
1.383791.4748221.998693e-07
1.388871.4747642.027359e-07
1.393961.4747062.056129e-07
1.399071.4746472.085005e-07
1.40421.4745882.113987e-07
1.409341.4745292.143075e-07
1.414511.474472.172270e-07
1.419691.474412.201572e-07
1.42491.474352.230981e-07
1.430121.474292.260498e-07
1.435361.4742292.290123e-07
1.440621.4741692.319857e-07
1.445911.4741082.349699e-07
1.451211.4740462.379652e-07
1.456521.4739852.409713e-07
1.461861.4739232.439886e-07
1.467221.473862.470168e-07
1.47261.4737982.500562e-07
1.4781.4737352.531067e-07
1.483421.4736712.561684e-07
1.488851.4736082.592413e-07
1.494311.4735442.623255e-07
1.499791.473482.654210e-07
1.51.4734772.655400e-07
1.505291.4734152.682055e-07
1.51081.4733512.709874e-07
1.516341.4732852.737794e-07
1.52191.473222.765817e-07
1.527481.4731542.793943e-07
1.533081.4730882.822172e-07
1.53871.4730212.850504e-07
1.544341.4729542.878940e-07
1.551.4728872.907480e-07

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
—