Optical constants

Refractive index of K-BaFn1 (SUMITA)

K-BaFn1: 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
1.68251
Extinction coefficient k
1.98319e-08
Permittivity ε1
2.83083
Permittivity ε2
6.67346e-08
Absorption coefficient α
0.00424123 cm⁻¹
Penetration depth δ = λ/(2πk)
4.71561e+09 nm
Abbe number Vd
44.465
Chromatic dispersion dn/dλ
-0.0783694 µm⁻¹
Group index ng
1.72856
Group velocity dispersion
146.608 fs²/mm
Dispersion parameter D
-799.822 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-BaFn1 (SUMITA): K-BaFn1
sumita_k_bafn1 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-BaFn1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_bafn1.range_nm)  # (360, 1550) nm
eps = sumita_k_bafn1.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=2.7669297−0.011669996⁢λ2.0+0.02151984⁢λ−2.0+0.00070810281⁢λ−4.0−2.495822×10-5⁢λ−6.0+3.7747946×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.7669297
C2-0.011669996
C32.0
C40.02151984
C5-2.0
C60.00070810281
C7-4.0
C8-2.495822e-05
C9-6.0
C103.7747946e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -8.23e-07 1.72e-08 -1.68e-10 5.4e-07 8.98e-10 0.251
nd
1.68250
Vd
44.5
glass code
683445
density
value: 3620
thermal expansion
value: 7.3e-06, temperature range: 243 343; value: 8.4e-06, temperature range: 293 573
dPgF
-0.0003
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.21e-07 K⁻¹ at 633 nm, dn/dT = -2.63e-07 K⁻¹ at 1310 nm, dn/dT = -3.12e-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-BaFn1 (SUMITA), K-BaFn1: n and k versus wavelength
λ (µm)nk
0.361.7249752.910900e-06
0.361321.7244042.714395e-06
0.3626441.7238392.517170e-06
0.3639731.723282.319222e-06
0.3653081.7227282.120548e-06
0.3666471.7221821.921146e-06
0.3679911.7216431.721014e-06
0.369341.7211091.520147e-06
0.371.7208511.421800e-06
0.3706931.7205821.377471e-06
0.3720521.720061.290603e-06
0.3734161.7195441.203417e-06
0.3747851.7190341.115911e-06
0.3761591.7185291.028084e-06
0.3775371.718039.399353e-07
0.3789211.7175368.514635e-07
0.381.7171567.825100e-07
0.380311.7170487.724150e-07
0.3817041.7165657.270743e-07
0.3831041.7160876.815673e-07
0.3845081.7156146.358935e-07
0.3859171.7151465.900523e-07
0.3873321.7146845.440430e-07
0.3887521.7142264.978651e-07
0.391.7138284.572700e-07
0.3901771.7137734.543685e-07
0.3916071.7133244.309040e-07
0.3930431.712884.073535e-07
0.3944831.7124413.837167e-07
0.3959291.7120073.599932e-07
0.3973811.7115763.361828e-07
0.3988371.7111513.122851e-07
0.41.7108152.932100e-07
0.4002991.7107292.910205e-07
0.4017671.7103122.802862e-07
0.4032391.7098992.695125e-07
0.4047171.709492.586993e-07
0.4062011.7090862.478465e-07
0.407691.7086852.369539e-07
0.4091841.7082892.260213e-07
0.4106841.7078962.150487e-07
0.412191.7075072.040359e-07
0.4137011.7071221.929827e-07
0.4152171.7067411.818890e-07
0.4167391.7063631.707546e-07
0.4182671.7059891.595794e-07
0.41981.7056191.483632e-07
0.421.7055711.469000e-07
0.4213391.7052531.439640e-07
0.4228831.7048891.405770e-07
0.4244331.704531.371776e-07
0.4259891.7041741.337657e-07
0.4275511.7038211.303413e-07
0.4291181.7034711.269043e-07
0.4306911.7031251.234548e-07
0.432271.7027821.199926e-07
0.4338541.7024431.165177e-07
0.4354451.7021061.130301e-07
0.4370411.7017731.095297e-07
0.4386431.7014431.060164e-07
0.441.7011661.030400e-07
0.4402511.7011151.028161e-07
0.4418641.7007911.013747e-07
0.4434841.700479.992796e-08
0.445111.7001529.847594e-08
0.4467411.6998379.701859e-08
0.4483791.6995249.555590e-08
0.4500231.6992159.408785e-08
0.4516721.6989089.261442e-08
0.4533281.6986049.113559e-08
0.454991.6983038.965134e-08
0.4566571.6980048.816164e-08
0.4583311.6977088.666649e-08
0.461.6974178.517600e-08
0.4600111.6974158.516041e-08
0.4616981.6971248.284641e-08
0.463391.6968368.052392e-08
0.4650891.6965517.819292e-08
0.4667931.6962687.585337e-08
0.4685051.6959877.350525e-08
0.4702221.695717.114852e-08
0.4719461.6954346.878315e-08
0.4736751.6951616.640911e-08
0.4754121.694896.402637e-08
0.4771541.6946226.163490e-08
0.4789041.6943565.923466e-08
0.481.694195.773000e-08
0.4806591.6940925.714541e-08
0.4824211.693835.558251e-08
0.4841891.6935715.401387e-08
0.4859641.6933145.243949e-08
0.4877461.6930595.085934e-08
0.4895331.6928064.927339e-08
0.4913281.6925564.768164e-08
0.4931291.6923084.608404e-08
0.4949361.6920614.448059e-08
0.4967511.6918174.287126e-08
0.4985721.6915754.125604e-08
0.51.6913873.998900e-08
0.5003991.6913353.984489e-08
0.5022331.6910973.918272e-08
0.5040741.6908613.851812e-08
0.5059221.6906273.785108e-08
0.5077771.6903943.718160e-08
0.5096381.6901643.650967e-08
0.5115061.6899363.583527e-08
0.5133811.6897093.515840e-08
0.5152631.6894853.447905e-08
0.5171521.6892623.379721e-08
0.5190471.6890413.311287e-08
0.520951.6888223.242602e-08
0.522861.6886043.173666e-08
0.5247761.6883893.104476e-08
0.52671.6881753.035033e-08
0.5286311.6879632.965336e-08
0.5305681.6877532.895383e-08
0.5325131.6875442.825173e-08
0.5344651.6873372.754707e-08
0.5364241.6871322.683981e-08
0.5383911.6869282.612997e-08
0.5403641.6867262.541753e-08
0.5423451.6865252.470247e-08
0.5443331.6863262.398479e-08
0.5463281.6861292.326448e-08
0.5483311.6859332.254153e-08
0.551.6857722.193900e-08
0.5503411.6857392.191990e-08
0.5523581.6855462.180684e-08
0.5543831.6853552.169338e-08
0.5564151.6851662.157950e-08
0.5584551.6849772.146520e-08
0.5605021.6847912.135048e-08
0.5625561.6846052.123534e-08
0.5646191.6844222.111978e-08
0.5666881.6842392.100379e-08
0.5687651.6840582.088738e-08
0.570851.6838782.077055e-08
0.5729431.68372.065328e-08
0.5750431.6835232.053559e-08
0.5771511.6833482.041746e-08
0.5792671.6831742.029890e-08
0.581391.6830012.017991e-08
0.5835211.6828292.006048e-08
0.585661.6826591.994061e-08
0.5878071.682491.982031e-08
0.5899611.6823221.969956e-08
0.5921241.6821561.957837e-08
0.5942951.681991.945673e-08
0.5964731.6818261.933465e-08
0.5986591.6816631.921212e-08
0.61.6815651.913700e-08
0.6008541.6815021.916424e-08
0.6030561.6813421.923450e-08
0.6052671.6811821.930502e-08
0.6074861.6810241.937579e-08
0.6097121.6808671.944683e-08
0.6119471.6807121.951812e-08
0.6141911.6805571.958968e-08
0.6164421.6804041.966150e-08
0.6187021.6802511.973358e-08
0.620971.68011.980593e-08
0.6232461.679951.987854e-08
0.625531.6798011.995142e-08
0.6278231.6796532.002456e-08
0.6301251.6795062.009798e-08
0.6324341.679362.017166e-08
0.6347531.6792152.024561e-08
0.6370791.6790712.031984e-08
0.6394151.6789282.039433e-08
0.6417591.6787862.046910e-08
0.6441111.6786452.054414e-08
0.6464721.6785052.061946e-08
0.6488421.6783672.069505e-08
0.651.6782992.073200e-08
0.651221.6782292.049820e-08
0.6536071.6780922.004083e-08
0.6560031.6779561.958178e-08
0.6584081.677821.912105e-08
0.6608211.6776861.865863e-08
0.6632441.6775531.819451e-08
0.6656751.6774211.772869e-08
0.6681151.6772891.726117e-08
0.6705641.6771581.679193e-08
0.6730221.6770291.632097e-08
0.6754891.67691.584829e-08
0.6779651.6767721.537387e-08
0.680451.6766451.489771e-08
0.6829451.6765191.441981e-08
0.6854481.6763931.394016e-08
0.6879611.6762681.345875e-08
0.6904821.6761451.297557e-08
0.6930131.6760221.249062e-08
0.6955541.6758991.200390e-08
0.6981031.6757781.151539e-08
0.71.6756891.115200e-08
0.7006621.6756571.120482e-08
0.7032311.6755381.140965e-08
0.7058091.6754181.161523e-08
0.7083961.67531.182156e-08
0.7109921.6751831.202865e-08
0.7135991.6750661.223649e-08
0.7162141.674951.244510e-08
0.718841.6748341.265447e-08
0.7214751.674721.286462e-08
0.7241191.6746061.307553e-08
0.7267741.6744921.328721e-08
0.7294381.674381.349967e-08
0.7321121.6742681.371291e-08
0.7347951.6741571.392693e-08
0.7374891.6740461.414173e-08
0.7401921.6739361.435733e-08
0.7429051.6738271.457371e-08
0.7456291.6737191.479088e-08
0.7483621.6736111.500886e-08
0.7511051.6735041.522763e-08
0.7538581.6733971.544720e-08
0.7566221.6732911.566758e-08
0.7593951.6731861.588876e-08
0.7621791.6730811.611076e-08
0.7649731.6729771.633357e-08
0.7677771.6728731.655719e-08
0.7705911.672771.678164e-08
0.7734161.6726681.700691e-08
0.7762511.6725661.723300e-08
0.7790961.6724651.745993e-08
0.7819521.6723641.768768e-08
0.7848181.6722641.791627e-08
0.7876951.6721641.814570e-08
0.7905831.6720651.837597e-08
0.7934811.6719671.860708e-08
0.7963891.6718691.883904e-08
0.7993091.6717711.907185e-08
0.81.6717481.912700e-08
0.8022381.6716741.910771e-08
0.8051791.6715781.908238e-08
0.8081311.6714821.905695e-08
0.8110931.6713861.903143e-08
0.8140661.6712911.900582e-08
0.817051.6711971.898011e-08
0.8200451.6711031.895430e-08
0.8230511.6710091.892841e-08
0.8260681.6709161.890241e-08
0.8290961.6708241.887633e-08
0.8321351.6707321.885014e-08
0.8351861.670641.882386e-08
0.8382471.6705491.879749e-08
0.841321.6704581.877101e-08
0.8444041.6703681.874445e-08
0.8474991.6702781.871778e-08
0.8506061.6701881.869101e-08
0.8537241.6700991.866415e-08
0.8568531.6700111.863719e-08
0.8599941.6699231.861013e-08
0.8631461.6698351.858297e-08
0.866311.6697471.855571e-08
0.8694861.669661.852835e-08
0.8726731.6695731.850089e-08
0.8758721.6694871.847333e-08
0.8790821.6694011.844567e-08
0.8823051.6693161.841791e-08
0.8855391.6692311.839005e-08
0.8887851.6691461.836208e-08
0.8920431.6690611.833401e-08
0.8953131.6689771.830584e-08
0.8985951.6688931.827757e-08
0.9018891.668811.824919e-08
0.9051951.6687271.822071e-08
0.9085131.6686441.819212e-08
0.9118431.6685611.816343e-08
0.9151861.6684791.813463e-08
0.918541.6683971.810573e-08
0.9219071.6683161.807672e-08
0.9252871.6682351.804761e-08
0.9286781.6681541.801839e-08
0.9320831.6680731.798906e-08
0.9354991.6679931.795962e-08
0.9389281.6679131.793008e-08
0.942371.6678331.790043e-08
0.9458241.6677531.787067e-08
0.9492911.6676741.784080e-08
0.9527711.6675951.781082e-08
0.9562641.6675161.778073e-08
0.9597691.6674381.775053e-08
0.9632871.667361.772022e-08
0.9668181.6672821.768980e-08
0.9703621.6672041.765926e-08
0.9739191.6671271.762862e-08
0.9774891.6670491.759786e-08
0.9810721.6669721.756699e-08
0.9846681.6668951.753601e-08
0.9882781.6668191.750491e-08
0.9919011.6667421.747370e-08
0.9955361.6666661.744238e-08
0.9991861.666591.741094e-08
1.002851.6665141.737938e-08
1.006521.6664391.734771e-08
1.010211.6663631.731593e-08
1.013921.6662881.728402e-08
1.017631.6662131.725200e-08
1.021361.6661381.721986e-08
1.025111.6660641.718761e-08
1.028871.6659891.715524e-08
1.032641.6659151.712274e-08
1.036421.665841.709013e-08
1.040221.6657661.705740e-08
1.044031.6656931.702455e-08
1.047861.6656191.699158e-08
1.05171.6655451.695849e-08
1.055561.6654721.692527e-08
1.059431.6653981.689194e-08
1.061.6653881.688700e-08
1.063311.6653251.702977e-08
1.067211.6652521.719788e-08
1.071121.6651791.736660e-08
1.075051.6651061.753594e-08
1.078991.6650331.770590e-08
1.082941.6649611.787648e-08
1.086911.6648881.804769e-08
1.09091.6648161.821953e-08
1.094891.6647441.839199e-08
1.098911.6646711.856509e-08
1.102941.6645991.873883e-08
1.106981.6645271.891320e-08
1.111041.6644551.908821e-08
1.115111.6643831.926386e-08
1.11921.6643111.944015e-08
1.12331.664241.961709e-08
1.127421.6641681.979468e-08
1.131551.6640961.997292e-08
1.13571.6640242.015182e-08
1.139861.6639532.033137e-08
1.144041.6638812.051157e-08
1.148231.663812.069244e-08
1.152441.6637382.087397e-08
1.156671.6636672.105617e-08
1.160911.6635962.123903e-08
1.165161.6635242.142257e-08
1.169431.6634532.160678e-08
1.173721.6633822.179166e-08
1.178021.663312.197722e-08
1.182341.6632392.216346e-08
1.186671.6631682.235039e-08
1.191021.6630962.253799e-08
1.195391.6630252.272629e-08
1.199771.6629542.291528e-08
1.204171.6628832.310496e-08
1.208581.6628112.329533e-08
1.213011.662742.348640e-08
1.217461.6626682.367818e-08
1.221921.6625972.387065e-08
1.22641.6625262.406383e-08
1.23091.6624542.425772e-08
1.235411.6623832.445232e-08
1.239941.6623112.464764e-08
1.244481.662242.484367e-08
1.249041.6621682.504042e-08
1.253621.6620962.523788e-08
1.258221.6620242.543608e-08
1.262831.6619532.563500e-08
1.267461.6618812.583465e-08
1.272111.6618092.603503e-08
1.276771.6617372.623614e-08
1.281451.6616642.643799e-08
1.286151.6615922.664059e-08
1.290861.661522.684392e-08
1.295591.6614482.704800e-08
1.300341.6613752.725283e-08
1.305111.6613022.745841e-08
1.309891.661232.766474e-08
1.314691.6611572.787183e-08
1.319511.6610842.807968e-08
1.324351.6610112.828829e-08
1.32921.6609382.849767e-08
1.334081.6608642.870781e-08
1.338971.6607912.891872e-08
1.343881.6607182.913041e-08
1.34881.6606442.934287e-08
1.353751.660572.955611e-08
1.358711.6604962.977013e-08
1.363691.6604222.998494e-08
1.368691.6603483.020053e-08
1.37371.6602733.041692e-08
1.378741.6601993.063409e-08
1.383791.6601243.085207e-08
1.388871.6600493.107084e-08
1.393961.6599743.129041e-08
1.399071.6598983.151079e-08
1.40421.6598233.173198e-08
1.409341.6597473.195398e-08
1.414511.6596713.217679e-08
1.419691.6595953.240042e-08
1.42491.6595193.262487e-08
1.430121.6594433.285014e-08
1.435361.6593663.307623e-08
1.440621.6592893.330316e-08
1.445911.6592123.353092e-08
1.451211.6591353.375951e-08
1.456521.6590573.398894e-08
1.461861.6589793.421921e-08
1.467221.6589013.445033e-08
1.47261.6588233.468229e-08
1.4781.6587453.491510e-08
1.483421.6586663.514877e-08
1.488851.6585873.538329e-08
1.494311.6585083.561867e-08
1.499791.6584283.585492e-08
1.51.6584253.586400e-08
1.505291.6583493.905651e-08
1.51081.6582694.238833e-08
1.516341.6581884.573237e-08
1.52191.6581084.908867e-08
1.527481.6580275.245727e-08
1.533081.6579465.583822e-08
1.53871.6578645.923156e-08
1.544341.6577826.263734e-08
1.551.65776.605560e-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
—