Optical constants

Refractive index of K-LaSFn23 (SUMITA)

K-LaSFn23: 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
1.91099
Extinction coefficient k
2.56224e-08
Permittivity ε1
3.6519
Permittivity ε2
9.79285e-08
Absorption coefficient α
0.00547958 cm⁻¹
Penetration depth δ = λ/(2πk)
3.64991e+09 nm
Abbe number Vd
35.219
Chromatic dispersion dn/dλ
-0.131154 µm⁻¹
Group index ng
1.98806
Group velocity dispersion
255.753 fs²/mm
Dispersion parameter D
-1395.27 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-LaSFn23 (SUMITA): K-LaSFn23
sumita_k_lasfn23 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaSFn23", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lasfn23.range_nm)  # (360, 1550) nm
eps = sumita_k_lasfn23.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=3.527437−0.014640706⁢λ2.0+0.040393831⁢λ−2.0+0.0015495078⁢λ−4.0−4.5667249×10-5⁢λ−6.0+9.0971269×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.527437
C2-0.014640706
C32.0
C40.040393831
C5-2.0
C60.0015495078
C7-4.0
C8-4.5667249e-05
C9-6.0
C109.0971269e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.83e-08 1.49e-08 -2.69e-10 8.28e-07 7.87e-10 0.248
nd
1.91100
Vd
35.2
glass code
911352
density
value: 4900
thermal expansion
value: 6.9e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
-0.0019
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.70e-06 K⁻¹ at 633 nm, dn/dT = 3.49e-07 K⁻¹ at 1310 nm, dn/dT = 2.49e-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-LaSFn23 (SUMITA), K-LaSFn23: n and k versus wavelength
λ (µm)nk
0.361.985134.712800e-06
0.361321.9840974.394296e-06
0.3626441.9830764.074625e-06
0.3639731.9820683.753782e-06
0.3653081.9810733.431763e-06
0.3666471.9800893.108563e-06
0.3679911.9791182.784179e-06
0.369341.9781582.458605e-06
0.371.9776932.299200e-06
0.3706931.977212.231391e-06
0.3720521.9762732.098512e-06
0.3734161.9753471.965146e-06
0.3747851.9744321.831292e-06
0.3761591.9735281.696946e-06
0.3775371.9726351.562108e-06
0.3789211.9717511.426776e-06
0.381.9710731.321300e-06
0.380311.9708791.306345e-06
0.3817041.9700161.239178e-06
0.3831041.9691631.171764e-06
0.3845081.968321.104103e-06
0.3859171.9674871.036193e-06
0.3873321.9666639.680354e-07
0.3887521.9658488.996276e-07
0.391.9651428.394900e-07
0.3901771.9650428.346597e-07
0.3916071.9642467.955971e-07
0.3930431.9634587.563912e-07
0.3944831.9626797.170417e-07
0.3959291.9619096.775479e-07
0.3973811.9611476.379093e-07
0.3988371.9603935.981254e-07
0.41.95985.663700e-07
0.4002991.9596485.627215e-07
0.4017671.9589115.448338e-07
0.4032391.9581825.268806e-07
0.4047171.957465.088616e-07
0.4062011.9567464.907765e-07
0.407691.956044.726251e-07
0.4091841.9553424.544072e-07
0.4106841.954654.361226e-07
0.412191.9539664.177708e-07
0.4137011.953293.993519e-07
0.4152171.952623.808654e-07
0.4167391.9519573.623111e-07
0.4182671.9513013.436888e-07
0.41981.9506523.249983e-07
0.421.9505683.225600e-07
0.4213391.950013.157200e-07
0.4228831.9493743.078294e-07
0.4244331.9487452.999098e-07
0.4259891.9481222.919611e-07
0.4275511.9475052.839834e-07
0.4291181.9468952.759764e-07
0.4306911.946292.679400e-07
0.432271.9456922.598742e-07
0.4338541.94512.517788e-07
0.4354451.9445132.436537e-07
0.4370411.9439332.354989e-07
0.4386431.9433582.273141e-07
0.441.9428772.203800e-07
0.4402511.9427892.194908e-07
0.4418641.9422252.137659e-07
0.4434841.9416672.080200e-07
0.445111.9411152.022530e-07
0.4467411.9405681.964649e-07
0.4483791.9400261.906556e-07
0.4500231.9394891.848250e-07
0.4516721.9389571.789730e-07
0.4533281.9384311.730996e-07
0.454991.937911.672046e-07
0.4566571.9373931.612880e-07
0.4583311.9368821.553497e-07
0.461.9363781.494300e-07
0.4600111.9363751.494045e-07
0.4616981.9358731.456206e-07
0.463391.9353761.418229e-07
0.4650891.9348831.380112e-07
0.4667931.9343951.341855e-07
0.4685051.9339121.303459e-07
0.4702221.9334331.264921e-07
0.4719461.9329591.226242e-07
0.4736751.9324891.187422e-07
0.4754121.9320231.148459e-07
0.4771541.9315611.109353e-07
0.4789041.9311041.070104e-07
0.481.9308211.045500e-07
0.4806591.9306511.033529e-07
0.4824211.9302021.001526e-07
0.4841891.9297589.694054e-08
0.4859641.9293179.371670e-08
0.4877461.928889.048104e-08
0.4895331.9284478.723353e-08
0.4913281.9280188.397410e-08
0.4931291.9275938.070273e-08
0.4949361.9271727.741937e-08
0.4967511.9267547.412397e-08
0.4985721.926347.081650e-08
0.51.9260196.822200e-08
0.5003991.925936.792278e-08
0.5022331.9255246.654793e-08
0.5040741.9251216.516803e-08
0.5059221.9247216.378307e-08
0.5077771.9243256.239304e-08
0.5096381.9239336.099791e-08
0.5115061.9235445.959766e-08
0.5133811.9231585.819229e-08
0.5152631.9227765.678176e-08
0.5171521.9223975.536606e-08
0.5190471.9220225.394517e-08
0.520951.9216495.251908e-08
0.522861.921285.108776e-08
0.5247761.9209144.965119e-08
0.52671.9205514.820935e-08
0.5286311.9201914.676223e-08
0.5305681.9198344.530980e-08
0.5325131.9194814.385205e-08
0.5344651.919134.238896e-08
0.5364241.9187824.092050e-08
0.5383911.9184383.944666e-08
0.5403641.9180963.796742e-08
0.5423451.9177573.648276e-08
0.5443331.9174213.499265e-08
0.5463281.9170873.349708e-08
0.5483311.9167573.199603e-08
0.551.9164843.074500e-08
0.5503411.9164293.069856e-08
0.5523581.9161043.042371e-08
0.5543831.9157813.014786e-08
0.5564151.9154622.987100e-08
0.5584551.9151452.959313e-08
0.5605021.914832.931423e-08
0.5625561.9145182.903432e-08
0.5646191.9142092.875337e-08
0.5666881.9139022.847140e-08
0.5687651.9135982.818840e-08
0.570851.9132962.790435e-08
0.5729431.9129972.761927e-08
0.5750431.91272.733314e-08
0.5771511.9124052.704596e-08
0.5792671.9121132.675773e-08
0.581391.9118232.646844e-08
0.5835211.9115362.617809e-08
0.585661.9112512.588668e-08
0.5878071.9109682.559420e-08
0.5899611.9106872.530065e-08
0.5921241.9104092.500602e-08
0.5942951.9101322.471031e-08
0.5964731.9098582.441352e-08
0.5986591.9095872.411564e-08
0.61.9094212.393300e-08
0.6008541.9093172.414480e-08
0.6030561.9090492.469111e-08
0.6052671.9087842.523942e-08
0.6074861.908522.578974e-08
0.6097121.9082592.634208e-08
0.6119471.9082.689644e-08
0.6141911.9077432.745283e-08
0.6164421.9074872.801127e-08
0.6187021.9072342.857175e-08
0.620971.9069832.913428e-08
0.6232461.9067332.969888e-08
0.625531.9064863.026555e-08
0.6278231.906243.083429e-08
0.6301251.9059963.140512e-08
0.6324341.9057543.197804e-08
0.6347531.9055143.255306e-08
0.6370791.9052763.313019e-08
0.6394151.905043.370944e-08
0.6417591.9048053.429081e-08
0.6441111.9045723.487431e-08
0.6464721.9043413.545994e-08
0.6488421.9041123.604773e-08
0.651.9040013.633500e-08
0.651221.9038843.612968e-08
0.6536071.9036583.572803e-08
0.6560031.9034343.532490e-08
0.6584081.9032113.492029e-08
0.6608211.902993.451420e-08
0.6632441.9027713.410662e-08
0.6656751.9025533.369755e-08
0.6681151.9023373.328697e-08
0.6705641.9021233.287490e-08
0.6730221.901913.246131e-08
0.6754891.9016983.204620e-08
0.6779651.9014883.162958e-08
0.680451.901283.121143e-08
0.6829451.9010733.079174e-08
0.6854481.9008683.037052e-08
0.6879611.9006642.994775e-08
0.6904821.9004612.952343e-08
0.6930131.900262.909756e-08
0.6955541.9000612.867012e-08
0.6981031.8998632.824112e-08
0.71.8997162.792200e-08
0.7006621.8996662.786374e-08
0.7032311.899472.763786e-08
0.7058091.8992762.741114e-08
0.7083961.8990842.718360e-08
0.7109921.8988922.695521e-08
0.7135991.8987022.672600e-08
0.7162141.8985142.649594e-08
0.718841.8983262.626504e-08
0.7214751.898142.603329e-08
0.7241191.8979562.580069e-08
0.7267741.8977722.556725e-08
0.7294381.897592.533294e-08
0.7321121.8974092.509778e-08
0.7347951.8972292.486175e-08
0.7374891.8970512.462486e-08
0.7401921.8968732.438710e-08
0.7429051.8966972.414847e-08
0.7456291.8965222.390896e-08
0.7483621.8963482.366858e-08
0.7511051.8961752.342731e-08
0.7538581.8960042.318516e-08
0.7566221.8958342.294213e-08
0.7593951.8956642.269820e-08
0.7621791.8954962.245338e-08
0.7649731.8953292.220766e-08
0.7677771.8951632.196104e-08
0.7705911.8949982.171351e-08
0.7734161.8948342.146508e-08
0.7762511.8946712.121574e-08
0.7790961.894512.096548e-08
0.7819521.8943492.071431e-08
0.7848181.8941892.046222e-08
0.7876951.894032.020920e-08
0.7905831.8938731.995525e-08
0.7934811.8937161.970037e-08
0.7963891.893561.944456e-08
0.7993091.8934051.918782e-08
0.81.8933691.912700e-08
0.8022381.8932511.910771e-08
0.8051791.8930981.908238e-08
0.8081311.8929461.905695e-08
0.8110931.8927951.903143e-08
0.8140661.8926451.900582e-08
0.817051.8924961.898011e-08
0.8200451.8923481.895430e-08
0.8230511.89221.892841e-08
0.8260681.8920541.890241e-08
0.8290961.8919081.887633e-08
0.8321351.8917631.885014e-08
0.8351861.8916191.882386e-08
0.8382471.8914761.879749e-08
0.841321.8913331.877101e-08
0.8444041.8911921.874445e-08
0.8474991.8910511.871778e-08
0.8506061.8909111.869101e-08
0.8537241.8907721.866415e-08
0.8568531.8906341.863719e-08
0.8599941.8904961.861013e-08
0.8631461.8903591.858297e-08
0.866311.8902231.855571e-08
0.8694861.8900881.852835e-08
0.8726731.8899531.850089e-08
0.8758721.8898191.847333e-08
0.8790821.8896861.844567e-08
0.8823051.8895541.841791e-08
0.8855391.8894221.839005e-08
0.8887851.8892911.836208e-08
0.8920431.8891611.833401e-08
0.8953131.8890311.830584e-08
0.8985951.8889021.827757e-08
0.9018891.8887741.824919e-08
0.9051951.8886461.822071e-08
0.9085131.8885191.819212e-08
0.9118431.8883931.816343e-08
0.9151861.8882671.813463e-08
0.918541.8881421.810573e-08
0.9219071.8880171.807672e-08
0.9252871.8878931.804761e-08
0.9286781.887771.801839e-08
0.9320831.8876471.798906e-08
0.9354991.8875251.795962e-08
0.9389281.8874031.793008e-08
0.942371.8872821.790043e-08
0.9458241.8871621.787067e-08
0.9492911.8870421.784080e-08
0.9527711.8869231.781082e-08
0.9562641.8868041.778073e-08
0.9597691.8866851.775053e-08
0.9632871.8865681.772022e-08
0.9668181.886451.768980e-08
0.9703621.8863341.765926e-08
0.9739191.8862171.762862e-08
0.9774891.8861021.759786e-08
0.9810721.8859861.756699e-08
0.9846681.8858721.753601e-08
0.9882781.8857571.750491e-08
0.9919011.8856431.747370e-08
0.9955361.885531.744238e-08
0.9991861.8854171.741094e-08
1.002851.8853051.737938e-08
1.006521.8851931.734771e-08
1.010211.8850811.731593e-08
1.013921.884971.728402e-08
1.017631.8848591.725200e-08
1.021361.8847491.721986e-08
1.025111.8846391.718761e-08
1.028871.8845291.715524e-08
1.032641.884421.712274e-08
1.036421.8843111.709013e-08
1.040221.8842031.705740e-08
1.044031.8840951.702455e-08
1.047861.8839871.699158e-08
1.05171.883881.695849e-08
1.055561.8837731.692527e-08
1.059431.8836661.689194e-08
1.061.883651.688700e-08
1.063311.883561.693974e-08
1.067211.8834541.700184e-08
1.071121.8833481.706416e-08
1.075051.8832431.712671e-08
1.078991.8831381.718950e-08
1.082941.8830331.725251e-08
1.086911.8829291.731575e-08
1.09091.8828251.737923e-08
1.094891.8827211.744294e-08
1.098911.8826171.750688e-08
1.102941.8825141.757105e-08
1.106981.8824111.763547e-08
1.111041.8823081.770011e-08
1.115111.8822061.776500e-08
1.11921.8821041.783012e-08
1.12331.8820021.789548e-08
1.127421.88191.796108e-08
1.131551.8817981.802692e-08
1.13571.8816971.809301e-08
1.139861.8815961.815933e-08
1.144041.8814951.822590e-08
1.148231.8813951.829271e-08
1.152441.8812941.835977e-08
1.156671.8811941.842707e-08
1.160911.8810941.849462e-08
1.165161.8809941.856241e-08
1.169431.8808951.863046e-08
1.173721.8807951.869875e-08
1.178021.8806961.876730e-08
1.182341.8805971.883610e-08
1.186671.8804981.890514e-08
1.191021.8803991.897445e-08
1.195391.88031.904400e-08
1.199771.8802021.911381e-08
1.204171.8801031.918388e-08
1.208581.8800051.925420e-08
1.213011.8799071.932478e-08
1.217461.8798091.939562e-08
1.221921.8797111.946672e-08
1.22641.8796131.953808e-08
1.23091.8795161.960970e-08
1.235411.8794181.968159e-08
1.239941.8793211.975374e-08
1.244481.8792231.982615e-08
1.249041.8791261.989883e-08
1.253621.8790281.997177e-08
1.258221.8789312.004498e-08
1.262831.8788342.011846e-08
1.267461.8787372.019221e-08
1.272111.878642.026623e-08
1.276771.8785432.034052e-08
1.281451.8784462.041509e-08
1.286151.8783492.048992e-08
1.290861.8782522.056503e-08
1.295591.8781552.064042e-08
1.300341.8780592.071608e-08
1.305111.8779622.079202e-08
1.309891.8778652.086824e-08
1.314691.8777682.094474e-08
1.319511.8776712.102151e-08
1.324351.8775742.109857e-08
1.32921.8774782.117592e-08
1.334081.8773812.125354e-08
1.338971.8772842.133145e-08
1.343881.8771872.140965e-08
1.34881.877092.148813e-08
1.353751.8769932.156690e-08
1.358711.8768962.164596e-08
1.363691.8767992.172531e-08
1.368691.8767022.180495e-08
1.37371.8766042.188488e-08
1.378741.8765072.196510e-08
1.383791.876412.204562e-08
1.388871.8763122.212643e-08
1.393961.8762152.220754e-08
1.399071.8761172.228895e-08
1.40421.8760192.237065e-08
1.409341.8759212.245266e-08
1.414511.8758232.253496e-08
1.419691.8757252.261757e-08
1.42491.8756272.270048e-08
1.430121.8755292.278370e-08
1.435361.8754312.286721e-08
1.440621.8753322.295104e-08
1.445911.8752332.303517e-08
1.451211.8751342.311961e-08
1.456521.8750352.320436e-08
1.461861.8749362.328942e-08
1.467221.8748372.337480e-08
1.47261.8747372.346048e-08
1.4781.8746382.354648e-08
1.483421.8745382.363280e-08
1.488851.8744382.371943e-08
1.494311.8743382.380638e-08
1.499791.8742372.389365e-08
1.51.8742332.389700e-08
1.505291.8741372.635880e-08
1.51081.8740362.892803e-08
1.516341.8739353.150668e-08
1.52191.8738333.409479e-08
1.527481.8737323.669237e-08
1.533081.873633.929949e-08
1.53871.8735284.191615e-08
1.544341.8734264.454241e-08
1.551.8733244.717830e-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
—