Optical constants

Refractive index of K-LaSFn22 (SUMITA)

K-LaSFn22: n,k 0.4–1.55 µm

Data
formula 3 + tabulated k
Range
0.4–1.55 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–1.55 µm
Refractive index n
1.89799
Extinction coefficient k
3.86531e-08
Permittivity ε1
3.60237
Permittivity ε2
1.46726e-07
Absorption coefficient α
0.00826632 cm⁻¹
Penetration depth δ = λ/(2πk)
2.41946e+09 nm
Abbe number Vd
34.002
Chromatic dispersion dn/dλ
-0.133768 µm⁻¹
Group index ng
1.97659
Group velocity dispersion
261.809 fs²/mm
Dispersion parameter D
-1428.31 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-LaSFn22 (SUMITA): K-LaSFn22
sumita_k_lasfn22 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaSFn22", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lasfn22.range_nm)  # (400, 1550) nm
eps = sumita_k_lasfn22.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=3.477103−0.01493764⁢λ2.0+0.040192699⁢λ−2.0+0.0018404932⁢λ−4.0−0.00010009344⁢λ−6.0+1.4346776×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.477103
C2-0.01493764
C32.0
C40.040192699
C5-2.0
C60.0018404932
C7-4.0
C8-0.00010009344
C9-6.0
C101.4346776e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.02e-06 1.36e-08 -2.8e-10 8.48e-07 8.18e-10 0.256
nd
1.89800
Vd
34.0
glass code
898340
density
value: 4920
thermal expansion
value: 5.7e-06, temperature range: 243 343; value: 7.9e-06, temperature range: 293 573
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.10e-06 K⁻¹ at 633 nm, dn/dT = 1.68e-06 K⁻¹ at 1310 nm, dn/dT = 1.57e-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 412 wavelengths, the same grid as the API and the library
K-LaSFn22 (SUMITA), K-LaSFn22: n and k versus wavelength
λ (µm)nk
0.41.9481446.786200e-07
0.401361.9474316.576817e-07
0.4027251.9467256.366722e-07
0.4040951.9460266.155912e-07
0.4054691.9453355.944386e-07
0.4068481.9446515.732140e-07
0.4082311.9439735.519173e-07
0.4096191.9433035.305481e-07
0.4110121.942645.091063e-07
0.412411.9419844.875915e-07
0.4138131.9413344.660036e-07
0.415221.940694.443423e-07
0.4166321.9400534.226073e-07
0.4180491.9394234.007984e-07
0.419471.9387993.789153e-07
0.421.9385683.707600e-07
0.4208971.9381813.648560e-07
0.4223281.9375693.554315e-07
0.4237641.9369633.459750e-07
0.4252051.9363633.364864e-07
0.4266511.9357693.269654e-07
0.4281021.9351813.174121e-07
0.4295581.9345983.078263e-07
0.4310191.9340212.982079e-07
0.4324841.933452.885568e-07
0.4339551.9328842.788729e-07
0.4354311.9323232.691561e-07
0.4369121.9317682.594062e-07
0.4383971.9312182.496231e-07
0.4398881.9306732.398068e-07
0.441.9306322.390700e-07
0.4413841.9301332.344551e-07
0.4428851.9295992.294501e-07
0.4443911.9290692.244280e-07
0.4459021.9285442.193889e-07
0.4474191.9280242.143327e-07
0.448941.9275092.092592e-07
0.4504671.9269982.041685e-07
0.4519991.9264931.990605e-07
0.4535361.9259921.939351e-07
0.4550781.9254951.887923e-07
0.4566261.9250031.836320e-07
0.4581781.9245151.784542e-07
0.4597361.9240321.732587e-07
0.461.9239511.723800e-07
0.46131.9235531.689945e-07
0.4628691.9230781.649088e-07
0.4644431.9226081.608092e-07
0.4660221.9221411.566957e-07
0.4676071.9216791.525682e-07
0.4691971.9212211.484266e-07
0.4707921.9207671.442710e-07
0.4723931.9203171.401012e-07
0.4741.9198711.359173e-07
0.4756121.9194291.317191e-07
0.4772291.918991.275066e-07
0.4788521.9185551.232799e-07
0.481.9182511.202900e-07
0.480481.9181251.193314e-07
0.4821141.9176971.160712e-07
0.4837541.9172741.127999e-07
0.4853991.9168541.095175e-07
0.487051.9164381.062240e-07
0.4887061.9160251.029192e-07
0.4903681.9156169.960322e-08
0.4920351.915219.627595e-08
0.4937091.9148079.293737e-08
0.4953871.9144088.958743e-08
0.4970721.9140138.622610e-08
0.4987621.913628.285333e-08
0.51.9133368.038400e-08
0.5004591.9132318.000970e-08
0.502161.9128457.862047e-08
0.5038681.9124637.722651e-08
0.5055821.9120837.582781e-08
0.5073011.9117077.442435e-08
0.5090261.9113337.301612e-08
0.5107571.9109637.160310e-08
0.5124941.9105967.018528e-08
0.5142371.9102326.876263e-08
0.5159851.9098716.733515e-08
0.517741.9095126.590281e-08
0.5195011.9091576.446560e-08
0.5212671.9088056.302351e-08
0.523041.9084556.157651e-08
0.5248191.9081086.012459e-08
0.5266031.9077645.866773e-08
0.5283941.9074235.720592e-08
0.5301911.9070845.573914e-08
0.5319941.9067485.426737e-08
0.5338031.9064155.279059e-08
0.5356181.9060845.130879e-08
0.537441.9057574.982195e-08
0.5392671.9054314.833006e-08
0.5411011.9051084.683310e-08
0.5429411.9047884.533104e-08
0.5447881.904474.382387e-08
0.546641.9041554.231158e-08
0.5484991.9038424.079415e-08
0.551.9035923.956900e-08
0.5503641.9035323.956012e-08
0.5522361.9032243.951453e-08
0.5541141.9029183.946879e-08
0.5559981.9026153.942288e-08
0.5578891.9023143.937682e-08
0.5597861.9020163.933061e-08
0.561691.9017193.928424e-08
0.56361.9014253.923771e-08
0.5655161.9011343.919102e-08
0.567441.9008443.914417e-08
0.5693691.9005573.909717e-08
0.5713051.9002723.905000e-08
0.5732481.8999893.900267e-08
0.5751981.8997083.895519e-08
0.5771541.8994293.890754e-08
0.5791161.8991533.885973e-08
0.5810861.8988783.881175e-08
0.5830621.8986063.876362e-08
0.5850441.8983353.871532e-08
0.5870341.8980673.866685e-08
0.589031.89783.861822e-08
0.5910331.8975363.856943e-08
0.5930431.8972743.852047e-08
0.595061.8970133.847134e-08
0.5970841.8967543.842205e-08
0.5991141.8964983.837258e-08
0.61.8963873.835100e-08
0.6011511.8962433.842459e-08
0.6031961.895993.855526e-08
0.6052471.8957393.868638e-08
0.6073051.895493.881794e-08
0.609371.8952423.894995e-08
0.6114431.8949973.908241e-08
0.6135221.8947533.921531e-08
0.6156081.8945113.934867e-08
0.6177021.894273.948249e-08
0.6198021.8940323.961676e-08
0.621911.8937953.975148e-08
0.6240251.893563.988666e-08
0.6261471.8933264.002231e-08
0.6282761.8930944.015841e-08
0.6304131.8928644.029498e-08
0.6325561.8926354.043201e-08
0.6347081.8924084.056951e-08
0.6368661.8921834.070747e-08
0.6390321.8919594.084590e-08
0.6412051.8917374.098481e-08
0.6433851.8915174.112419e-08
0.6455731.8912984.126404e-08
0.6477691.891084.140436e-08
0.6499711.8908644.154517e-08
0.651.8908614.154700e-08
0.6521821.8906494.119689e-08
0.6543991.8904364.084097e-08
0.6566251.8902254.048385e-08
0.6588581.8900154.012550e-08
0.6610981.8898063.976595e-08
0.6633461.8895993.940516e-08
0.6656021.8893933.904315e-08
0.6678661.8891893.867991e-08
0.6701371.8889863.831544e-08
0.6724161.8887843.794972e-08
0.6747021.8885843.758277e-08
0.6769971.8883853.721456e-08
0.6792991.8881883.684510e-08
0.6816091.8879913.647439e-08
0.6839271.8877973.610241e-08
0.6862531.8876033.572917e-08
0.6885861.8874113.535466e-08
0.6909281.887223.497888e-08
0.6932781.887033.460182e-08
0.6956351.8868423.422347e-08
0.6980011.8866543.384384e-08
0.71.8864983.352300e-08
0.7003741.8864683.354093e-08
0.7027561.8862843.365499e-08
0.7051461.88613.376944e-08
0.7075441.8859183.388427e-08
0.709951.8857373.399950e-08
0.7123641.8855573.411512e-08
0.7147871.8853783.423113e-08
0.7172171.88523.434754e-08
0.7196561.8850243.446434e-08
0.7221041.8848483.458154e-08
0.7245591.8846743.469914e-08
0.7270231.8845013.481714e-08
0.7294961.8843293.493554e-08
0.7319761.8841583.505434e-08
0.7344651.8839883.517355e-08
0.7369631.8838193.529316e-08
0.7394691.8836513.541318e-08
0.7419841.8834843.553361e-08
0.7445071.8833193.565444e-08
0.7470391.8831543.577569e-08
0.7495791.8829913.589735e-08
0.7521281.8828283.601942e-08
0.7546861.8826663.614191e-08
0.7572521.8825063.626482e-08
0.7598281.8823463.638814e-08
0.7624111.8821873.651188e-08
0.7650041.882033.663604e-08
0.7676061.8818733.676063e-08
0.7702161.8817173.688564e-08
0.7728351.8815623.701107e-08
0.7754631.8814083.713693e-08
0.77811.8812553.726322e-08
0.7807461.8811033.738994e-08
0.7834011.8809523.751709e-08
0.7860651.8808023.764467e-08
0.7887381.8806523.777269e-08
0.7914211.8805043.790114e-08
0.7941121.8803563.803002e-08
0.7968121.8802093.815935e-08
0.7995221.8800633.828911e-08
0.81.8800383.831200e-08
0.8022411.8799183.812733e-08
0.8049691.8797743.790253e-08
0.8077071.879633.767695e-08
0.8104531.8794873.745061e-08
0.8132091.8793453.722351e-08
0.8159751.8792043.699563e-08
0.8187491.8790643.676697e-08
0.8215341.8789253.653754e-08
0.8243271.8787863.630732e-08
0.8271311.8786483.607633e-08
0.8299431.8785113.584454e-08
0.8327661.8783743.561197e-08
0.8355981.8782383.537861e-08
0.8384391.8781033.514446e-08
0.841291.8779693.490951e-08
0.8441511.8778353.467376e-08
0.8470221.8777033.443721e-08
0.8499021.877573.419985e-08
0.8527931.8774393.396169e-08
0.8556931.8773083.372271e-08
0.8586031.8771783.348293e-08
0.8615221.8770493.324233e-08
0.8644521.876923.300091e-08
0.8673921.8767923.275867e-08
0.8703411.8766643.251560e-08
0.8733011.8765373.227171e-08
0.8762711.8764113.202699e-08
0.8792511.8762863.178144e-08
0.8822411.8761613.153505e-08
0.8852411.8760373.128783e-08
0.8882511.8759133.103976e-08
0.8912721.875793.079085e-08
0.8943031.8756673.054110e-08
0.8973441.8755453.029049e-08
0.9003951.8754243.003903e-08
0.9034571.8753032.978672e-08
0.906531.8751832.953355e-08
0.9096121.8750642.927952e-08
0.9127061.8749452.902462e-08
0.9158091.8748262.876886e-08
0.9189241.8747082.851223e-08
0.9220491.8745912.825472e-08
0.9251841.8744742.799634e-08
0.928331.8743572.773708e-08
0.9314871.8742422.747694e-08
0.9346551.8741262.721592e-08
0.9378331.8740112.695401e-08
0.9410231.8738972.669120e-08
0.9442231.8737832.642750e-08
0.9474341.873672.616291e-08
0.9506551.8735572.589742e-08
0.9538881.8734452.563102e-08
0.9571321.8733332.536372e-08
0.9603871.8732212.509551e-08
0.9636531.873112.482638e-08
0.966931.8732.455634e-08
0.9702181.872892.428539e-08
0.9735171.872782.401351e-08
0.9768281.8726712.374070e-08
0.980151.8725622.346697e-08
0.9834831.8724532.319231e-08
0.9868271.8723452.291672e-08
0.9901831.8722382.264018e-08
0.993551.8721312.236271e-08
0.9969291.8720242.208429e-08
1.000321.8719182.180493e-08
1.003721.8718122.152462e-08
1.007131.8717062.124335e-08
1.010561.8716012.096113e-08
1.0141.8714962.067794e-08
1.017441.8713912.039380e-08
1.02091.8712872.010868e-08
1.024381.8711831.982260e-08
1.027861.871081.953555e-08
1.031351.8709771.924752e-08
1.034861.8708741.895851e-08
1.038381.8707721.866851e-08
1.041911.870671.837753e-08
1.045451.8705681.808557e-08
1.049011.8704661.779260e-08
1.052581.8703651.749865e-08
1.056161.8702641.720369e-08
1.059751.8701641.690773e-08
1.061.8701571.688700e-08
1.063351.8700641.694041e-08
1.066971.8699641.699802e-08
1.07061.8698641.705582e-08
1.074241.8697651.711383e-08
1.077891.8696651.717203e-08
1.081561.8695671.723043e-08
1.085231.8694681.728902e-08
1.088921.869371.734782e-08
1.092631.8692721.740681e-08
1.096341.8691741.746601e-08
1.100071.8690761.752541e-08
1.103811.8689791.758501e-08
1.107571.8688821.764481e-08
1.111331.8687851.770482e-08
1.115111.8686881.776503e-08
1.11891.8685921.782544e-08
1.122711.8684961.788606e-08
1.126531.86841.794689e-08
1.130361.8683041.800792e-08
1.13421.8682081.806916e-08
1.138061.8681131.813061e-08
1.141931.8680171.819227e-08
1.145811.8679221.825413e-08
1.149711.8678281.831621e-08
1.153621.8677331.837850e-08
1.157541.8676381.844100e-08
1.161481.8675441.850371e-08
1.165431.867451.856664e-08
1.169391.8673561.862978e-08
1.173371.8672621.869314e-08
1.177361.8671681.875671e-08
1.181361.8670741.882050e-08
1.185381.8669811.888450e-08
1.189411.8668881.894872e-08
1.193451.8667941.901316e-08
1.197511.8667011.907782e-08
1.201581.8666081.914270e-08
1.205671.8665161.920780e-08
1.209771.8664231.927312e-08
1.213881.866331.933866e-08
1.218011.8662381.940443e-08
1.222151.8661451.947042e-08
1.226311.8660531.953663e-08
1.230481.8659611.960307e-08
1.234671.8658681.966974e-08
1.238861.8657761.973663e-08
1.243081.8656841.980375e-08
1.24731.8655921.987109e-08
1.251551.86551.993867e-08
1.25581.8654082.000648e-08
1.260071.8653172.007451e-08
1.264361.8652252.014278e-08
1.268661.8651332.021128e-08
1.272971.8650422.028002e-08
1.27731.864952.034898e-08
1.281641.8648582.041818e-08
1.2861.8647672.048762e-08
1.290381.8646752.055729e-08
1.294761.8645842.062720e-08
1.299171.8644922.069735e-08
1.303581.8644012.076774e-08
1.308021.8643092.083836e-08
1.312471.8642182.090923e-08
1.316931.8641262.098034e-08
1.321411.8640352.105169e-08
1.32591.8639432.112328e-08
1.330411.8638512.119511e-08
1.334931.863762.126719e-08
1.339471.8636682.133951e-08
1.344031.8635772.141208e-08
1.34861.8634852.148490e-08
1.353181.8633932.155797e-08
1.357791.8633012.163128e-08
1.36241.863212.170484e-08
1.367041.8631182.177865e-08
1.371691.8630262.185272e-08
1.376351.8629342.192703e-08
1.381031.8628422.200160e-08
1.385731.862752.207642e-08
1.390441.8626572.215150e-08
1.395171.8625652.222683e-08
1.399911.8624732.230242e-08
1.404671.862382.237826e-08
1.409451.8622882.245436e-08
1.414241.8621952.253072e-08
1.419051.8621022.260735e-08
1.423881.8620092.268423e-08
1.428721.8619162.276137e-08
1.433581.8618232.283878e-08
1.438451.861732.291644e-08
1.443341.8616372.299438e-08
1.448251.8615432.307257e-08
1.453181.861452.315104e-08
1.458121.8613562.322977e-08
1.463081.8612622.330877e-08
1.468051.8611682.338803e-08
1.473051.8610742.346757e-08
1.478051.8609792.354738e-08
1.483081.8608852.362745e-08
1.488121.860792.370780e-08
1.493191.8606952.378843e-08
1.498261.86062.386933e-08
1.51.8605682.389700e-08
1.503361.8605052.622364e-08
1.508471.860412.976581e-08
1.51361.8603143.332003e-08
1.518751.8602183.688634e-08
1.523911.8601224.046477e-08
1.529091.8600264.405537e-08
1.534291.8599294.765819e-08
1.539511.8598335.127325e-08
1.544751.8597365.490061e-08
1.551.8596395.854030e-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
—