Optical constants

Refractive index of K-BaFn3 (SUMITA)

K-BaFn3: 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
1.66422
Extinction coefficient k
1.98319e-08
Permittivity ε1
2.76962
Permittivity ε2
6.60092e-08
Absorption coefficient α
0.00424123 cm⁻¹
Penetration depth δ = λ/(2πk)
4.71561e+09 nm
Abbe number Vd
49.189
Chromatic dispersion dn/dλ
-0.0692493 µm⁻¹
Group index ng
1.70491
Group velocity dispersion
126.653 fs²/mm
Dispersion parameter D
-690.96 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-BaFn3 (SUMITA): K-BaFn3
sumita_k_bafn3 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-BaFn3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_bafn3.range_nm)  # (360, 1550) nm
eps = sumita_k_bafn3.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=2.7128944−0.010619935⁢λ2.0+0.019653632⁢λ−2.0+0.00040051165⁢λ−4.0+1.1626539×10-6⁢λ−6.0+1.1579589×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.7128944
C2-0.010619935
C32.0
C40.019653632
C5-2.0
C60.00040051165
C7-4.0
C81.1626539e-06
C9-6.0
C101.1579589e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 7.44e-08 1.27e-08 -3.11e-10 5.72e-07 5.44e-10 0.214
nd
1.66422
Vd
49.2
glass code
664492
density
value: 3620
thermal expansion
value: 7e-06, temperature range: 243 343; value: 8.5e-06, temperature range: 293 573
dPgF
-0.0024
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 8.93e-07 K⁻¹ at 633 nm, dn/dT = 2.16e-07 K⁻¹ at 1310 nm, dn/dT = 1.64e-07 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-BaFn3 (SUMITA), K-BaFn3: n and k versus wavelength
λ (µm)nk
0.361.7004851.392700e-06
0.361321.7000171.301490e-06
0.3626441.6995541.209946e-06
0.3639731.6990951.118067e-06
0.3653081.6986411.025851e-06
0.3666471.6981919.332964e-07
0.3679911.6977468.404028e-07
0.369341.6973067.471687e-07
0.371.6970927.015200e-07
0.3706931.696876.796804e-07
0.3720521.6964386.368830e-07
0.3734161.6960115.939287e-07
0.3747851.6955875.508170e-07
0.3761591.6951685.075473e-07
0.3775371.6947534.641190e-07
0.3789211.6943424.205314e-07
0.381.6940263.865600e-07
0.380311.6939353.815522e-07
0.3817041.6935333.590603e-07
0.3831041.6931343.364859e-07
0.3845081.6927383.138288e-07
0.3859171.6923472.910886e-07
0.3873321.6919592.682650e-07
0.3887521.6915762.453578e-07
0.391.6912422.252200e-07
0.3901771.6911952.237700e-07
0.3916071.6908192.120434e-07
0.3930431.6904462.002739e-07
0.3944831.6900761.884613e-07
0.3959291.689711.766053e-07
0.3973811.6893481.647059e-07
0.3988371.6889891.527629e-07
0.41.6887051.432300e-07
0.4002991.6886331.424042e-07
0.4017671.6882811.383557e-07
0.4032391.6879311.342923e-07
0.4047171.6875851.302140e-07
0.4062011.6872431.261208e-07
0.407691.6869031.220125e-07
0.4091841.6865671.178892e-07
0.4106841.6862331.137508e-07
0.412191.6859031.095973e-07
0.4137011.6855761.054285e-07
0.4152171.6852511.012444e-07
0.4167391.684939.704495e-08
0.4182671.6846129.283013e-08
0.41981.6842968.859987e-08
0.421.6842558.804800e-08
0.4213391.6839838.665022e-08
0.4228831.6836738.503772e-08
0.4244331.6833668.341931e-08
0.4259891.6830628.179497e-08
0.4275511.682768.016467e-08
0.4291181.6824617.852840e-08
0.4306911.6821647.688612e-08
0.432271.6818717.523783e-08
0.4338541.6815797.358350e-08
0.4354451.6812917.192310e-08
0.4370411.6810057.025662e-08
0.4386431.6807216.858403e-08
0.441.6804846.716700e-08
0.4402511.680446.697203e-08
0.4418641.6801616.571674e-08
0.4434841.6798856.445686e-08
0.445111.6796116.319235e-08
0.4467411.679346.192321e-08
0.4483791.6790716.064942e-08
0.4500231.6788045.937095e-08
0.4516721.6785395.808781e-08
0.4533281.6782775.679995e-08
0.454991.6780175.550738e-08
0.4566571.6777595.421007e-08
0.4583311.6775045.290800e-08
0.461.6772525.161000e-08
0.4600111.677255.160249e-08
0.4616981.6769995.048781e-08
0.463391.676754.936905e-08
0.4650891.6765034.824618e-08
0.4667931.6762584.711920e-08
0.4685051.6760154.598809e-08
0.4702221.6757744.485283e-08
0.4719461.6755354.371341e-08
0.4736751.6752984.256981e-08
0.4754121.6750634.142202e-08
0.4771541.674834.027003e-08
0.4789041.6745993.911381e-08
0.481.6744553.838900e-08
0.4806591.674373.804502e-08
0.4824211.6741423.712539e-08
0.4841891.6739173.620239e-08
0.4859641.6736933.527601e-08
0.4877461.6734723.434623e-08
0.4895331.6732523.341304e-08
0.4913281.6730343.247643e-08
0.4931291.6728173.153639e-08
0.4949361.6726033.059290e-08
0.4967511.672392.964596e-08
0.4985721.6721792.869554e-08
0.51.6720152.795000e-08
0.5003991.6719692.790201e-08
0.5022331.6717612.768149e-08
0.5040741.6715552.746017e-08
0.5059221.6713512.723803e-08
0.5077771.6711482.701508e-08
0.5096381.6709472.679132e-08
0.5115061.6707472.656673e-08
0.5133811.6705492.634132e-08
0.5152631.6703532.611508e-08
0.5171521.6701582.588801e-08
0.5190471.6699642.566012e-08
0.520951.6697732.543138e-08
0.522861.6695822.520181e-08
0.5247761.6693932.497140e-08
0.52671.6692062.474014e-08
0.5286311.669022.450803e-08
0.5305681.6688362.427507e-08
0.5325131.6686532.404126e-08
0.5344651.6684712.380659e-08
0.5364241.6682912.357107e-08
0.5383911.6681122.333467e-08
0.5403641.6679342.309742e-08
0.5423451.6677582.285929e-08
0.5443331.6675842.262029e-08
0.5463281.667412.238041e-08
0.5483311.6672382.213966e-08
0.551.6670962.193900e-08
0.5503411.6670672.191990e-08
0.5523581.6668982.180684e-08
0.5543831.666732.169338e-08
0.5564151.6665632.157950e-08
0.5584551.6663972.146520e-08
0.5605021.6662332.135048e-08
0.5625561.6660692.123534e-08
0.5646191.6659072.111978e-08
0.5666881.6657472.100379e-08
0.5687651.6655872.088738e-08
0.570851.6654292.077055e-08
0.5729431.6652722.065328e-08
0.5750431.6651152.053559e-08
0.5771511.6649612.041746e-08
0.5792671.6648072.029890e-08
0.581391.6646542.017991e-08
0.5835211.6645032.006048e-08
0.585661.6643521.994061e-08
0.5878071.6642031.982031e-08
0.5899611.6640551.969956e-08
0.5921241.6639071.957837e-08
0.5942951.6637611.945673e-08
0.5964731.6636161.933465e-08
0.5986591.6634721.921212e-08
0.61.6633851.913700e-08
0.6008541.6633291.898702e-08
0.6030561.6631871.860017e-08
0.6052671.6630461.821191e-08
0.6074861.6629061.782222e-08
0.6097121.6627681.743110e-08
0.6119471.662631.703855e-08
0.6141911.6624931.664456e-08
0.6164421.6623571.624913e-08
0.6187021.6622211.585225e-08
0.620971.6620871.545391e-08
0.6232461.6619541.505411e-08
0.625531.6618221.465285e-08
0.6278231.661691.425011e-08
0.6301251.661561.384590e-08
0.6324341.661431.344021e-08
0.6347531.6613021.303303e-08
0.6370791.6611741.262436e-08
0.6394151.6610471.221419e-08
0.6417591.6609211.180252e-08
0.6441111.6607961.138933e-08
0.6464721.6606711.097464e-08
0.6488421.6605481.055842e-08
0.651.6604881.035500e-08
0.651221.6604251.037445e-08
0.6536071.6603031.041250e-08
0.6560031.6601821.045069e-08
0.6584081.6600621.048902e-08
0.6608211.6599431.052749e-08
0.6632441.6598241.056610e-08
0.6656751.6597061.060486e-08
0.6681151.6595891.064375e-08
0.6705641.6594731.068279e-08
0.6730221.6593571.072197e-08
0.6754891.6592421.076130e-08
0.6779651.6591281.080077e-08
0.680451.6590151.084038e-08
0.6829451.6589021.088014e-08
0.6854481.658791.092004e-08
0.6879611.6586791.096009e-08
0.6904821.6585681.100029e-08
0.6930131.6584591.104063e-08
0.6955541.6583491.108113e-08
0.6981031.6582411.112177e-08
0.71.6581611.115200e-08
0.7006621.6581331.116255e-08
0.7032311.6580261.120347e-08
0.7058091.657921.124453e-08
0.7083961.6578141.128574e-08
0.7109921.6577091.132711e-08
0.7135991.6576041.136863e-08
0.7162141.6575011.141030e-08
0.718841.6573971.145212e-08
0.7214751.6572951.149409e-08
0.7241191.6571931.153622e-08
0.7267741.6570911.157851e-08
0.7294381.6569911.162095e-08
0.7321121.656891.166354e-08
0.7347951.6567911.170629e-08
0.7374891.6566921.174920e-08
0.7401921.6565931.179226e-08
0.7429051.6564961.183548e-08
0.7456291.6563981.187886e-08
0.7483621.6563021.192240e-08
0.7511051.6562051.196610e-08
0.7538581.656111.200996e-08
0.7566221.6560151.205398e-08
0.7593951.655921.209816e-08
0.7621791.6558261.214251e-08
0.7649731.6557331.218701e-08
0.7677771.655641.223168e-08
0.7705911.6555471.227652e-08
0.7734161.6554551.232151e-08
0.7762511.6553641.236668e-08
0.7790961.6552731.241200e-08
0.7819521.6551821.245750e-08
0.7848181.6550921.250316e-08
0.7876951.6550031.254899e-08
0.7905831.6549141.259498e-08
0.7934811.6548251.264115e-08
0.7963891.6547371.268748e-08
0.7993091.6546491.273398e-08
0.81.6546291.274500e-08
0.8022381.6545621.278066e-08
0.8051791.6544751.282751e-08
0.8081311.6543891.287453e-08
0.8110931.6543031.292172e-08
0.8140661.6542171.296908e-08
0.817051.6541321.301662e-08
0.8200451.6540481.306433e-08
0.8230511.6539631.311222e-08
0.8260681.653881.316028e-08
0.8290961.6537961.320852e-08
0.8321351.6537131.325694e-08
0.8351861.6536311.330553e-08
0.8382471.6535481.335431e-08
0.841321.6534661.340326e-08
0.8444041.6533851.345239e-08
0.8474991.6533041.350169e-08
0.8506061.6532231.355119e-08
0.8537241.6531431.360086e-08
0.8568531.6530631.365071e-08
0.8599941.6529831.370075e-08
0.8631461.6529041.375097e-08
0.866311.6528251.380137e-08
0.8694861.6527461.385196e-08
0.8726731.6526681.390274e-08
0.8758721.652591.395370e-08
0.8790821.6525121.400484e-08
0.8823051.6524351.405618e-08
0.8855391.6523581.410770e-08
0.8887851.6522811.415941e-08
0.8920431.6522051.421132e-08
0.8953131.6521281.426341e-08
0.8985951.6520531.431569e-08
0.9018891.6519771.436817e-08
0.9051951.6519021.442083e-08
0.9085131.6518271.447369e-08
0.9118431.6517521.452675e-08
0.9151861.6516781.457999e-08
0.918541.6516041.463344e-08
0.9219071.651531.468708e-08
0.9252871.6514561.474091e-08
0.9286781.6513831.479494e-08
0.9320831.651311.484918e-08
0.9354991.6512371.490361e-08
0.9389281.6511651.495824e-08
0.942371.6510921.501307e-08
0.9458241.651021.506810e-08
0.9492911.6509481.512333e-08
0.9527711.6508771.517876e-08
0.9562641.6508051.523440e-08
0.9597691.6507341.529024e-08
0.9632871.6506631.534629e-08
0.9668181.6505921.540254e-08
0.9703621.6505221.545900e-08
0.9739191.6504511.551567e-08
0.9774891.6503811.557254e-08
0.9810721.6503111.562962e-08
0.9846681.6502411.568691e-08
0.9882781.6501721.574441e-08
0.9919011.6501021.580212e-08
0.9955361.6500331.586005e-08
0.9991861.6499641.591818e-08
1.002851.6498951.597653e-08
1.006521.6498271.603509e-08
1.010211.6497581.609387e-08
1.013921.649691.615286e-08
1.017631.6496211.621207e-08
1.021361.6495531.627150e-08
1.025111.6494851.633114e-08
1.028871.6494181.639100e-08
1.032641.649351.645108e-08
1.036421.6492821.651139e-08
1.040221.6492151.657191e-08
1.044031.6491481.663265e-08
1.047861.6490811.669362e-08
1.05171.6490141.675481e-08
1.055561.6489471.681623e-08
1.059431.648881.687787e-08
1.061.648871.688700e-08
1.063311.6488131.702977e-08
1.067211.6487471.719788e-08
1.071121.648681.736660e-08
1.075051.6486141.753594e-08
1.078991.6485481.770590e-08
1.082941.6484811.787648e-08
1.086911.6484151.804769e-08
1.09091.6483491.821953e-08
1.094891.6482831.839199e-08
1.098911.6482171.856509e-08
1.102941.6481521.873883e-08
1.106981.6480861.891320e-08
1.111041.648021.908821e-08
1.115111.6479551.926386e-08
1.11921.6478891.944015e-08
1.12331.6478241.961709e-08
1.127421.6477581.979468e-08
1.131551.6476931.997292e-08
1.13571.6476272.015182e-08
1.139861.6475622.033137e-08
1.144041.6474972.051157e-08
1.148231.6474322.069244e-08
1.152441.6473662.087397e-08
1.156671.6473012.105617e-08
1.160911.6472362.123903e-08
1.165161.6471712.142257e-08
1.169431.6471062.160678e-08
1.173721.647042.179166e-08
1.178021.6469752.197722e-08
1.182341.646912.216346e-08
1.186671.6468452.235039e-08
1.191021.646782.253799e-08
1.195391.6467152.272629e-08
1.199771.646652.291528e-08
1.204171.6465842.310496e-08
1.208581.6465192.329533e-08
1.213011.6464542.348640e-08
1.217461.6463892.367818e-08
1.221921.6463242.387065e-08
1.22641.6462582.406383e-08
1.23091.6461932.425772e-08
1.235411.6461272.445232e-08
1.239941.6460622.464764e-08
1.244481.6459972.484367e-08
1.249041.6459312.504042e-08
1.253621.6458652.523788e-08
1.258221.64582.543608e-08
1.262831.6457342.563500e-08
1.267461.6456682.583465e-08
1.272111.6456022.603503e-08
1.276771.6455362.623614e-08
1.281451.645472.643799e-08
1.286151.6454042.664059e-08
1.290861.6453382.684392e-08
1.295591.6452722.704800e-08
1.300341.6452052.725283e-08
1.305111.6451392.745841e-08
1.309891.6450722.766474e-08
1.314691.6450062.787183e-08
1.319511.6449392.807968e-08
1.324351.6448722.828829e-08
1.32921.6448052.849767e-08
1.334081.6447382.870781e-08
1.338971.6446712.891872e-08
1.343881.6446032.913041e-08
1.34881.6445362.934287e-08
1.353751.6444682.955611e-08
1.358711.64442.977013e-08
1.363691.6443332.998494e-08
1.368691.6442653.020053e-08
1.37371.6441963.041692e-08
1.378741.6441283.063409e-08
1.383791.6440593.085207e-08
1.388871.6439913.107084e-08
1.393961.6439223.129041e-08
1.399071.6438533.151079e-08
1.40421.6437843.173198e-08
1.409341.6437143.195398e-08
1.414511.6436453.217679e-08
1.419691.6435753.240042e-08
1.42491.6435053.262487e-08
1.430121.6434353.285014e-08
1.435361.6433653.307623e-08
1.440621.6432943.330316e-08
1.445911.6432243.353092e-08
1.451211.6431533.375951e-08
1.456521.6430823.398894e-08
1.461861.6430113.421921e-08
1.467221.6429393.445033e-08
1.47261.6428673.468229e-08
1.4781.6427953.491510e-08
1.483421.6427233.514877e-08
1.488851.6426513.538329e-08
1.494311.6425783.561867e-08
1.499791.6425053.585492e-08
1.51.6425023.586400e-08
1.505291.6424323.974562e-08
1.51081.6423594.379664e-08
1.516341.6422854.786251e-08
1.52191.6422115.194328e-08
1.527481.6421375.603900e-08
1.533081.6420626.014974e-08
1.53871.6419886.427555e-08
1.544341.6419136.841649e-08
1.551.6418377.257260e-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
—