Optical constants

Refractive index of K-CaFK95(M) (SUMITA)

K-CaFK95(M): 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
1.43312
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.05383
Permittivity ε2
2.68318e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
94.831
Chromatic dispersion dn/dλ
-0.0237033 µm⁻¹
Group index ng
1.44705
Group velocity dispersion
40.4442 fs²/mm
Dispersion parameter D
-220.645 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-CaFK95(M) (SUMITA): K-CaFK95(M)
mat = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-CaFK95(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (360, 1550) nm
eps = mat.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=2.0377918−0.0045854882⁢λ2.0+0.0057460341⁢λ−2.0+0.00014824175⁢λ−4.0−1.2924899×10-5⁢λ−6.0+6.7640906×10-7⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.0377918
C2-0.0045854882
C32.0
C40.0057460341
C5-2.0
C60.00014824175
C7-4.0
C8-1.2924899e-05
C9-6.0
C106.7640906e-07
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.06e-05 -5.62e-09 -2.69e-11 3.17e-07 3.49e-10 0.174
nd
1.43312
Vd
95.0
glass code
434950
density
value: 3540
thermal expansion
value: 1.29e-05, temperature range: 243 343; value: 1.67e-05, temperature range: 293 573
dPgF
0.0506
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -7.25e-06 K⁻¹ at 633 nm, dn/dT = -7.40e-06 K⁻¹ at 1310 nm, dn/dT = -7.39e-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-CaFK95(M) (SUMITA), K-CaFK95(M): n and k versus wavelength
λ (µm)nk
0.361.4445834.620700e-08
0.361321.4444464.244766e-08
0.3626441.444313.867455e-08
0.3639731.4441753.488760e-08
0.3653081.4440423.108677e-08
0.3666471.4439092.727201e-08
0.3679911.4437782.344326e-08
0.369341.4436471.960048e-08
0.371.4435841.771900e-08
0.3706931.4435181.712034e-08
0.3720521.443391.594721e-08
0.3734161.4432631.476977e-08
0.3747851.4431361.358802e-08
0.3761591.4430111.240193e-08
0.3775371.4428871.121150e-08
0.3789211.4427641.001670e-08
0.381.4426699.085500e-09
0.380311.4426428.996351e-09
0.3817041.4425218.595946e-09
0.3831041.4424018.194073e-09
0.3845081.4422827.790727e-09
0.3859171.4421647.385903e-09
0.3873321.4420466.979594e-09
0.3887521.441936.571796e-09
0.391.4418296.213300e-09
0.3901771.4418156.216117e-09
0.3916071.44176.238901e-09
0.3930431.4415876.261768e-09
0.3944831.4414746.284719e-09
0.3959291.4413626.307754e-09
0.3973811.4412516.330874e-09
0.3988371.4411416.354078e-09
0.41.4410556.372600e-09
0.4002991.4410326.377368e-09
0.4017671.4409246.400743e-09
0.4032391.4408176.424203e-09
0.4047171.440716.447749e-09
0.4062011.4406046.471382e-09
0.407691.4404996.495102e-09
0.4091841.4403956.518908e-09
0.4106841.4402926.542802e-09
0.412191.4401896.566783e-09
0.4137011.4400876.590852e-09
0.4152171.4399866.615009e-09
0.4167391.4398866.639255e-09
0.4182671.4397876.663590e-09
0.41981.4396886.688014e-09
0.421.4396756.691200e-09
0.4213391.439596.712527e-09
0.4228831.4394936.737131e-09
0.4244331.4393966.761824e-09
0.4259891.4393016.786608e-09
0.4275511.4392066.811483e-09
0.4291181.4391116.836449e-09
0.4306911.4390186.861507e-09
0.432271.4389256.886656e-09
0.4338541.4388336.911898e-09
0.4354451.4387416.937232e-09
0.4370411.4386516.962659e-09
0.4386431.4385616.988179e-09
0.441.4384857.009800e-09
0.4402511.4384717.013794e-09
0.4418641.4383827.039510e-09
0.4434841.4382947.065320e-09
0.445111.4382077.091224e-09
0.4467411.438127.117224e-09
0.4483791.4380347.143319e-09
0.4500231.4379497.169509e-09
0.4516721.4378647.195796e-09
0.4533281.437787.222179e-09
0.454991.4376967.248658e-09
0.4566571.4376137.275235e-09
0.4583311.4375317.301909e-09
0.461.4374497.328500e-09
0.4600111.4374497.328681e-09
0.4616981.4373687.355543e-09
0.463391.4372877.382503e-09
0.4650891.4372077.409561e-09
0.4667931.4371287.436719e-09
0.4685051.4370497.463977e-09
0.4702221.4369717.491334e-09
0.4719461.4368937.518792e-09
0.4736751.4368167.546351e-09
0.4754121.4367397.574010e-09
0.4771541.4366637.601771e-09
0.4789041.4365887.629634e-09
0.481.4365417.647100e-09
0.4806591.4365137.657598e-09
0.4824211.4364397.685666e-09
0.4841891.4363657.713836e-09
0.4859641.4362927.742109e-09
0.4877461.4362197.770486e-09
0.4895331.4361477.798967e-09
0.4913281.4360757.827553e-09
0.4931291.4360047.856243e-09
0.4949361.4359337.885038e-09
0.4967511.4358637.913939e-09
0.4985721.4357937.942946e-09
0.51.4357397.965700e-09
0.5003991.4357247.972060e-09
0.5022331.4356568.001284e-09
0.5040741.4355878.030614e-09
0.5059221.435528.060053e-09
0.5077771.4354538.089599e-09
0.5096381.4353868.119253e-09
0.5115061.4353198.149016e-09
0.5133811.4352548.178889e-09
0.5152631.4351888.208870e-09
0.5171521.4351238.238962e-09
0.5190471.4350598.269164e-09
0.520951.4349958.299477e-09
0.522861.4349328.329900e-09
0.5247761.4348688.360436e-09
0.52671.4348068.391083e-09
0.5286311.4347448.421843e-09
0.5305681.4346828.452715e-09
0.5325131.434628.483700e-09
0.5344651.434568.514799e-09
0.5364241.4344998.546013e-09
0.5383911.4344398.577340e-09
0.5403641.4343798.608782e-09
0.5423451.434328.640340e-09
0.5443331.4342618.672013e-09
0.5463281.4342038.703803e-09
0.5483311.4341458.735708e-09
0.551.4340978.762300e-09
0.5503411.4340878.767731e-09
0.5523581.434038.799871e-09
0.5543831.4339738.832130e-09
0.5564151.4339168.864506e-09
0.5584551.433868.897001e-09
0.5605021.4338058.929615e-09
0.5625561.4337498.962348e-09
0.5646191.4336948.995202e-09
0.5666881.433649.028176e-09
0.5687651.4335859.061271e-09
0.570851.4335329.094487e-09
0.5729431.4334789.127825e-09
0.5750431.4334259.161285e-09
0.5771511.4333729.194868e-09
0.5792671.433329.228574e-09
0.581391.4332689.262404e-09
0.5835211.4332169.296357e-09
0.585661.4331649.330435e-09
0.5878071.4331139.364638e-09
0.5899611.4330629.398966e-09
0.5921241.4330129.433420e-09
0.5942951.4329629.468001e-09
0.5964731.4329129.502708e-09
0.5986591.4328639.537542e-09
0.61.4328339.558900e-09
0.6008541.4328149.572496e-09
0.6030561.4327659.607564e-09
0.6052671.4327169.642761e-09
0.6074861.4326689.678087e-09
0.6097121.432629.713542e-09
0.6119471.4325739.749127e-09
0.6141911.4325259.784843e-09
0.6164421.4324789.820689e-09
0.6187021.4324329.856667e-09
0.620971.4323859.892777e-09
0.6232461.4323399.929019e-09
0.625531.4322939.965394e-09
0.6278231.4322481.000190e-08
0.6301251.4322021.003854e-08
0.6324341.4321571.007532e-08
0.6347531.4321131.011223e-08
0.6370791.4320681.014928e-08
0.6394151.4320241.018646e-08
0.6417591.431981.022378e-08
0.6441111.4319371.026124e-08
0.6464721.4318931.029883e-08
0.6488421.431851.033656e-08
0.651.4318291.035500e-08
0.651221.4318071.037445e-08
0.6536071.4317651.041250e-08
0.6560031.4317221.045069e-08
0.6584081.431681.048902e-08
0.6608211.4316381.052749e-08
0.6632441.4315971.056610e-08
0.6656751.4315551.060486e-08
0.6681151.4315141.064375e-08
0.6705641.4314731.068279e-08
0.6730221.4314331.072197e-08
0.6754891.4313921.076130e-08
0.6779651.4313521.080077e-08
0.680451.4313121.084038e-08
0.6829451.4312731.088014e-08
0.6854481.4312331.092004e-08
0.6879611.4311941.096009e-08
0.6904821.4311551.100029e-08
0.6930131.4311161.104063e-08
0.6955541.4310771.108113e-08
0.6981031.4310391.112177e-08
0.71.431011.115200e-08
0.7006621.4310011.116255e-08
0.7032311.4309631.120347e-08
0.7058091.4309251.124453e-08
0.7083961.4308871.128574e-08
0.7109921.430851.132711e-08
0.7135991.4308131.136863e-08
0.7162141.4307761.141030e-08
0.718841.4307391.145212e-08
0.7214751.4307021.149409e-08
0.7241191.4306661.153622e-08
0.7267741.4306291.157851e-08
0.7294381.4305931.162095e-08
0.7321121.4305581.166354e-08
0.7347951.4305221.170629e-08
0.7374891.4304861.174920e-08
0.7401921.4304511.179226e-08
0.7429051.4304161.183548e-08
0.7456291.4303811.187886e-08
0.7483621.4303461.192240e-08
0.7511051.4303111.196610e-08
0.7538581.4302771.200996e-08
0.7566221.4302431.205398e-08
0.7593951.4302081.209816e-08
0.7621791.4301741.214251e-08
0.7649731.430141.218701e-08
0.7677771.4301071.223168e-08
0.7705911.4300731.227652e-08
0.7734161.430041.232151e-08
0.7762511.4300071.236668e-08
0.7790961.4299741.241200e-08
0.7819521.4299411.245750e-08
0.7848181.4299081.250316e-08
0.7876951.4298751.254899e-08
0.7905831.4298431.259498e-08
0.7934811.429811.264115e-08
0.7963891.4297781.268748e-08
0.7993091.4297461.273398e-08
0.81.4297381.274500e-08
0.8022381.4297141.278066e-08
0.8051791.4296821.282751e-08
0.8081311.429651.287453e-08
0.8110931.4296191.292172e-08
0.8140661.4295871.296908e-08
0.817051.4295561.301662e-08
0.8200451.4295251.306433e-08
0.8230511.4294941.311222e-08
0.8260681.4294631.316028e-08
0.8290961.4294321.320852e-08
0.8321351.4294011.325694e-08
0.8351861.4293711.330553e-08
0.8382471.429341.335431e-08
0.841321.429311.340326e-08
0.8444041.4292791.345239e-08
0.8474991.4292491.350169e-08
0.8506061.4292191.355119e-08
0.8537241.4291891.360086e-08
0.8568531.4291591.365071e-08
0.8599941.4291291.370075e-08
0.8631461.42911.375097e-08
0.866311.429071.380137e-08
0.8694861.4290411.385196e-08
0.8726731.4290111.390274e-08
0.8758721.4289821.395370e-08
0.8790821.4289531.400484e-08
0.8823051.4289241.405618e-08
0.8855391.4288941.410770e-08
0.8887851.4288661.415941e-08
0.8920431.4288371.421132e-08
0.8953131.4288081.426341e-08
0.8985951.4287791.431569e-08
0.9018891.428751.436817e-08
0.9051951.4287221.442083e-08
0.9085131.4286931.447369e-08
0.9118431.4286651.452675e-08
0.9151861.4286371.457999e-08
0.918541.4286081.463344e-08
0.9219071.428581.468708e-08
0.9252871.4285521.474091e-08
0.9286781.4285241.479494e-08
0.9320831.4284961.484918e-08
0.9354991.4284681.490361e-08
0.9389281.428441.495824e-08
0.942371.4284121.501307e-08
0.9458241.4283841.506810e-08
0.9492911.4283561.512333e-08
0.9527711.4283291.517876e-08
0.9562641.4283011.523440e-08
0.9597691.4282731.529024e-08
0.9632871.4282461.534629e-08
0.9668181.4282181.540254e-08
0.9703621.4281911.545900e-08
0.9739191.4281631.551567e-08
0.9774891.4281361.557254e-08
0.9810721.4281091.562962e-08
0.9846681.4280811.568691e-08
0.9882781.4280541.574441e-08
0.9919011.4280271.580212e-08
0.9955361.4281.586005e-08
0.9991861.4279731.591818e-08
1.002851.4279451.597653e-08
1.006521.4279181.603509e-08
1.010211.4278911.609387e-08
1.013921.4278641.615286e-08
1.017631.4278371.621207e-08
1.021361.427811.627150e-08
1.025111.4277831.633114e-08
1.028871.4277561.639100e-08
1.032641.4277291.645108e-08
1.036421.4277021.651139e-08
1.040221.4276751.657191e-08
1.044031.4276491.663265e-08
1.047861.4276221.669362e-08
1.05171.4275951.675481e-08
1.055561.4275681.681623e-08
1.059431.4275411.687787e-08
1.061.4275371.688700e-08
1.063311.4275141.702977e-08
1.067211.4274871.719788e-08
1.071121.4274611.736660e-08
1.075051.4274341.753594e-08
1.078991.4274071.770590e-08
1.082941.427381.787648e-08
1.086911.4273531.804769e-08
1.09091.4273261.821953e-08
1.094891.42731.839199e-08
1.098911.4272731.856509e-08
1.102941.4272461.873883e-08
1.106981.4272191.891320e-08
1.111041.4271921.908821e-08
1.115111.4271651.926386e-08
1.11921.4271381.944015e-08
1.12331.4271111.961709e-08
1.127421.4270841.979468e-08
1.131551.4270571.997292e-08
1.13571.427032.015182e-08
1.139861.4270032.033137e-08
1.144041.4269762.051157e-08
1.148231.4269492.069244e-08
1.152441.4269222.087397e-08
1.156671.4268952.105617e-08
1.160911.4268682.123903e-08
1.165161.4268412.142257e-08
1.169431.4268142.160678e-08
1.173721.4267862.179166e-08
1.178021.4267592.197722e-08
1.182341.4267322.216346e-08
1.186671.4267042.235039e-08
1.191021.4266772.253799e-08
1.195391.426652.272629e-08
1.199771.4266222.291528e-08
1.204171.4265952.310496e-08
1.208581.4265672.329533e-08
1.213011.4265392.348640e-08
1.217461.4265122.367818e-08
1.221921.4264842.387065e-08
1.22641.4264562.406383e-08
1.23091.4264282.425772e-08
1.235411.42642.445232e-08
1.239941.4263732.464764e-08
1.244481.4263452.484367e-08
1.249041.4263162.504042e-08
1.253621.4262882.523788e-08
1.258221.426262.543608e-08
1.262831.4262322.563500e-08
1.267461.4262042.583465e-08
1.272111.4261752.603503e-08
1.276771.4261472.623614e-08
1.281451.4261182.643799e-08
1.286151.426092.664059e-08
1.290861.4260612.684392e-08
1.295591.4260322.704800e-08
1.300341.4260032.725283e-08
1.305111.4259752.745841e-08
1.309891.4259462.766474e-08
1.314691.4259162.787183e-08
1.319511.4258872.807968e-08
1.324351.4258582.828829e-08
1.32921.4258292.849767e-08
1.334081.4257992.870781e-08
1.338971.425772.891872e-08
1.343881.425742.913041e-08
1.34881.4257112.934287e-08
1.353751.4256812.955611e-08
1.358711.4256512.977013e-08
1.363691.4256212.998494e-08
1.368691.4255913.020053e-08
1.37371.4255613.041692e-08
1.378741.425533.063409e-08
1.383791.42553.085207e-08
1.388871.425473.107084e-08
1.393961.4254393.129041e-08
1.399071.4254083.151079e-08
1.40421.4253773.173198e-08
1.409341.4253473.195398e-08
1.414511.4253163.217679e-08
1.419691.4252843.240042e-08
1.42491.4252533.262487e-08
1.430121.4252223.285014e-08
1.435361.425193.307623e-08
1.440621.4251583.330316e-08
1.445911.4251273.353092e-08
1.451211.4250953.375951e-08
1.456521.4250633.398894e-08
1.461861.4250313.421921e-08
1.467221.4249983.445033e-08
1.47261.4249663.468229e-08
1.4781.4249333.491510e-08
1.483421.4249013.514877e-08
1.488851.4248683.538329e-08
1.494311.4248353.561867e-08
1.499791.4248023.585492e-08
1.51.42483.586400e-08
1.505291.4247683.700628e-08
1.51081.4247353.819842e-08
1.516341.4247023.939492e-08
1.52191.4246684.059581e-08
1.527481.4246344.180110e-08
1.533081.42464.301080e-08
1.53871.4245664.422495e-08
1.544341.4245314.544354e-08
1.551.4244974.666660e-08

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
—