Optical constants

Refractive index of K-LaSFn21 (SUMITA)

K-LaSFn21: 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
1.85002
Extinction coefficient k
7.81033e-08
Permittivity ε1
3.42256
Permittivity ε2
2.88985e-07
Absorption coefficient α
0.0167031 cm⁻¹
Penetration depth δ = λ/(2πk)
1.19738e+09 nm
Abbe number Vd
32.506
Chromatic dispersion dn/dλ
-0.132027 µm⁻¹
Group index ng
1.9276
Group velocity dispersion
259.605 fs²/mm
Dispersion parameter D
-1416.29 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-LaSFn21 (SUMITA): K-LaSFn21
sumita_k_lasfn21 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaSFn21", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lasfn21.range_nm)  # (400, 1550) nm
eps = sumita_k_lasfn21.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=3.3040338−0.016019748⁢λ2.0+0.037645989⁢λ−2.0+0.0021532464⁢λ−4.0−0.00020498123⁢λ−6.0+2.7623217×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.3040338
C2-0.016019748
C32.0
C40.037645989
C5-2.0
C60.0021532464
C7-4.0
C8-0.00020498123
C9-6.0
C102.7623217e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.35e-06 1.38e-08 -2.07e-11 8.23e-07 1.31e-09 0.268
nd
1.85000
Vd
32.4
glass code
850324
density
value: 3990
thermal expansion
value: 6e-06, temperature range: 243 343; value: 7.6e-06, temperature range: 293 573
dPgF
0.0085
resistance
acid: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.81e-06 K⁻¹ at 633 nm, dn/dT = 2.44e-06 K⁻¹ at 1310 nm, dn/dT = 2.33e-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-LaSFn21 (SUMITA), K-LaSFn21: n and k versus wavelength
λ (µm)nk
0.41.9007831.395800e-06
0.401361.9000291.350176e-06
0.4027251.8992851.304397e-06
0.4040951.8985491.258462e-06
0.4054691.8978221.212371e-06
0.4068481.8971041.166123e-06
0.4082311.8963951.119718e-06
0.4096191.8956941.073155e-06
0.4110121.8950011.026433e-06
0.412411.8943169.795533e-07
0.4138131.8936399.325137e-07
0.415221.8929698.853142e-07
0.4166321.8923088.379541e-07
0.4180491.8916537.904330e-07
0.419471.8910077.427503e-07
0.421.8907687.249800e-07
0.4208971.8903677.137979e-07
0.4223281.8897356.959480e-07
0.4237641.8891096.780375e-07
0.4252051.8884916.600660e-07
0.4266511.8878796.420334e-07
0.4281021.8872746.239395e-07
0.4295581.8866756.057841e-07
0.4310191.8860835.875669e-07
0.4324841.8854975.692877e-07
0.4339551.8849175.509465e-07
0.4354311.8843445.325428e-07
0.4369121.8837765.140766e-07
0.4383971.8832154.955475e-07
0.4398881.8826594.769555e-07
0.441.8826174.755600e-07
0.4413841.8821094.673778e-07
0.4428851.8815644.585040e-07
0.4443911.8810264.496001e-07
0.4459021.8804924.406658e-07
0.4474191.8799644.317012e-07
0.448941.8794424.227061e-07
0.4504671.8789244.136804e-07
0.4519991.8784124.046240e-07
0.4535361.8779053.955368e-07
0.4550781.8774033.864187e-07
0.4566261.8769053.772696e-07
0.4581781.8764133.680894e-07
0.4597361.8759253.588779e-07
0.461.8758443.573200e-07
0.46131.8754433.518456e-07
0.4628691.8749643.452390e-07
0.4644431.8744913.386099e-07
0.4660221.8740213.319583e-07
0.4676071.8735573.252841e-07
0.4691971.8730963.185872e-07
0.4707921.872643.118675e-07
0.4723931.8721893.051249e-07
0.4741.8717412.983594e-07
0.4756121.8712982.915709e-07
0.4772291.8708582.847594e-07
0.4788521.8704232.779246e-07
0.481.8701182.730900e-07
0.480481.8699922.714325e-07
0.4821141.8695642.657954e-07
0.4837541.8691412.601392e-07
0.4853991.8687212.544637e-07
0.487051.8683052.487690e-07
0.4887061.8678932.430548e-07
0.4903681.8674852.373213e-07
0.4920351.867082.315682e-07
0.4937091.8666782.257956e-07
0.4953871.8662812.200033e-07
0.4970721.8658862.141914e-07
0.4987621.8654962.083596e-07
0.51.8652122.040900e-07
0.5004591.8651082.032346e-07
0.502161.8647242.000596e-07
0.5038681.8643431.968738e-07
0.5055821.8639661.936771e-07
0.5073011.8635921.904696e-07
0.5090261.8632211.872512e-07
0.5107571.8628531.840218e-07
0.5124941.8624881.807815e-07
0.5142371.8621271.775301e-07
0.5159851.8617681.742677e-07
0.517741.8614121.709942e-07
0.5195011.861061.677096e-07
0.5212671.860711.644137e-07
0.523041.8603631.611067e-07
0.5248191.860021.577884e-07
0.5266031.8596781.544589e-07
0.5283941.859341.511180e-07
0.5301911.8590051.477658e-07
0.5319941.8586721.444021e-07
0.5338031.8583421.410271e-07
0.5356181.8580151.376405e-07
0.537441.857691.342425e-07
0.5392671.8573681.308328e-07
0.5411011.8570491.274116e-07
0.5429411.8567321.239788e-07
0.5447881.8564171.205342e-07
0.546641.8561061.170780e-07
0.5484991.8557961.136100e-07
0.551.8555491.108100e-07
0.5503641.8554891.104930e-07
0.5522361.8551851.088650e-07
0.5541141.8548831.072315e-07
0.5559981.8545831.055924e-07
0.5578891.8542861.039477e-07
0.5597861.8539911.022974e-07
0.561691.8536981.006415e-07
0.56361.8534089.898003e-08
0.5655161.8531199.731286e-08
0.567441.8528339.564003e-08
0.5693691.852559.396151e-08
0.5713051.8522689.227728e-08
0.5732481.8519899.058732e-08
0.5751981.8517118.889162e-08
0.5771541.8514368.719014e-08
0.5791161.8511638.548289e-08
0.5810861.8508928.376982e-08
0.5830621.8506238.205094e-08
0.5850441.8503568.032620e-08
0.5870341.8500917.859560e-08
0.589031.8498287.685912e-08
0.5910331.8495677.511673e-08
0.5930431.8493087.336842e-08
0.595061.8490517.161416e-08
0.5970841.8487966.985393e-08
0.5991141.8485436.808772e-08
0.61.8484336.731700e-08
0.6011511.8482916.684373e-08
0.6031961.8480426.600341e-08
0.6052471.8477946.516023e-08
0.6073051.8475486.431418e-08
0.609371.8473046.346525e-08
0.6114431.8470616.261344e-08
0.6135221.8468216.175873e-08
0.6156081.8465826.090111e-08
0.6177021.8463456.004058e-08
0.6198021.8461095.917712e-08
0.621911.8458765.831072e-08
0.6240251.8456445.744138e-08
0.6261471.8454135.656908e-08
0.6282761.8451855.569381e-08
0.6304131.8449575.481557e-08
0.6325561.8447325.393434e-08
0.6347081.8445085.305012e-08
0.6368661.8442865.216289e-08
0.6390321.8440655.127264e-08
0.6412051.8438465.037936e-08
0.6433851.8436284.948305e-08
0.6455731.8434124.858369e-08
0.6477691.8431974.768127e-08
0.6499711.8429844.677578e-08
0.651.8429814.676400e-08
0.6521821.8427724.618625e-08
0.6543991.8425624.559893e-08
0.6566251.8423534.500961e-08
0.6588581.8421464.441829e-08
0.6610981.841944.382495e-08
0.6633461.8417364.322960e-08
0.6656021.8415324.263222e-08
0.6678661.8413314.203281e-08
0.6701371.841134.143136e-08
0.6724161.8409314.082787e-08
0.6747021.8407344.022232e-08
0.6769971.8405373.961472e-08
0.6792991.8403423.900505e-08
0.6816091.8401483.839330e-08
0.6839271.8399563.777948e-08
0.6862531.8397653.716356e-08
0.6885861.8395753.654556e-08
0.6909281.8393863.592545e-08
0.6932781.8391993.530323e-08
0.6956351.8390133.467890e-08
0.6980011.8388283.405244e-08
0.71.8386733.352300e-08
0.7003741.8386443.354093e-08
0.7027561.8384613.365499e-08
0.7051461.838283.376944e-08
0.7075441.83813.388427e-08
0.709951.8379213.399950e-08
0.7123641.8377433.411512e-08
0.7147871.8375663.423113e-08
0.7172171.837393.434754e-08
0.7196561.8372163.446434e-08
0.7221041.8370423.458154e-08
0.7245591.836873.469914e-08
0.7270231.8366993.481714e-08
0.7294961.8365293.493554e-08
0.7319761.836363.505434e-08
0.7344651.8361923.517355e-08
0.7369631.8360253.529316e-08
0.7394691.8358593.541318e-08
0.7419841.8356943.553361e-08
0.7445071.835533.565444e-08
0.7470391.8353673.577569e-08
0.7495791.8352053.589735e-08
0.7521281.8350443.601942e-08
0.7546861.8348843.614191e-08
0.7572521.8347253.626482e-08
0.7598281.8345673.638814e-08
0.7624111.8344093.651188e-08
0.7650041.8342533.663604e-08
0.7676061.8340983.676063e-08
0.7702161.8339443.688564e-08
0.7728351.833793.701107e-08
0.7754631.8336383.713693e-08
0.77811.8334863.726322e-08
0.7807461.8333353.738994e-08
0.7834011.8331853.751709e-08
0.7860651.8330363.764467e-08
0.7887381.8328883.777269e-08
0.7914211.8327413.790114e-08
0.7941121.8325943.803002e-08
0.7968121.8324483.815935e-08
0.7995221.8323033.828911e-08
0.81.8322783.831200e-08
0.8022411.8321593.827319e-08
0.8049691.8320163.822594e-08
0.8077071.8318743.817853e-08
0.8104531.8317323.813096e-08
0.8132091.8315913.808323e-08
0.8159751.8314513.803533e-08
0.8187491.8313113.798727e-08
0.8215341.8311733.793905e-08
0.8243271.8310353.789067e-08
0.8271311.8308983.784212e-08
0.8299431.8307613.779340e-08
0.8327661.8306263.774452e-08
0.8355981.8304913.769548e-08
0.8384391.8303563.764626e-08
0.841291.8302233.759688e-08
0.8441511.830093.754733e-08
0.8470221.8299583.749761e-08
0.8499021.8298263.744773e-08
0.8527931.8296953.739767e-08
0.8556931.8295653.734745e-08
0.8586031.8294363.729705e-08
0.8615221.8293073.724648e-08
0.8644521.8291783.719574e-08
0.8673921.8290513.714483e-08
0.8703411.8289243.709374e-08
0.8733011.8287973.704248e-08
0.8762711.8286723.699105e-08
0.8792511.8285463.693944e-08
0.8822411.8284223.688765e-08
0.8852411.8282983.683569e-08
0.8882511.8281743.678356e-08
0.8912721.8280523.673124e-08
0.8943031.8279293.667875e-08
0.8973441.8278083.662608e-08
0.9003951.8276863.657323e-08
0.9034571.8275663.652020e-08
0.906531.8274463.646699e-08
0.9096121.8273263.641360e-08
0.9127061.8272073.636003e-08
0.9158091.8270893.630627e-08
0.9189241.8269713.625233e-08
0.9220491.8268533.619821e-08
0.9251841.8267363.614391e-08
0.928331.826623.608942e-08
0.9314871.8265043.603474e-08
0.9346551.8263883.597988e-08
0.9378331.8262733.592483e-08
0.9410231.8261593.586960e-08
0.9442231.8260453.581418e-08
0.9474341.8259313.575856e-08
0.9506551.8258183.570276e-08
0.9538881.8257053.564677e-08
0.9571321.8255933.559059e-08
0.9603871.8254813.553422e-08
0.9636531.825373.547766e-08
0.966931.8252593.542090e-08
0.9702181.8251483.536396e-08
0.9735171.8250383.530681e-08
0.9768281.8249283.524948e-08
0.980151.8248193.519195e-08
0.9834831.824713.513422e-08
0.9868271.8246013.507630e-08
0.9901831.8244933.501818e-08
0.993551.8243853.495986e-08
0.9969291.8242783.490134e-08
1.000321.8241713.484263e-08
1.003721.8240643.478371e-08
1.007131.8239583.472460e-08
1.010561.8238523.466528e-08
1.0141.8237463.460576e-08
1.017441.8236413.454604e-08
1.02091.8235363.448612e-08
1.024381.8234313.442599e-08
1.027861.8233263.436566e-08
1.031351.8232223.430512e-08
1.034861.8231193.424438e-08
1.038381.8230153.418343e-08
1.041911.8229123.412227e-08
1.045451.8228093.406091e-08
1.049011.8227073.399934e-08
1.052581.8226043.393755e-08
1.056161.8225023.387556e-08
1.059751.82243.381336e-08
1.061.8223933.380900e-08
1.063351.8222993.400727e-08
1.066971.8221983.422114e-08
1.07061.8220973.443575e-08
1.074241.8219963.465108e-08
1.077891.8218953.486714e-08
1.081561.8217953.508394e-08
1.085231.8216953.530147e-08
1.088921.8215953.551975e-08
1.092631.8214963.573876e-08
1.096341.8213963.595852e-08
1.100071.8212973.617903e-08
1.103811.8211983.640029e-08
1.107571.8210993.662230e-08
1.111331.8210013.684507e-08
1.115111.8209033.706859e-08
1.11891.8208043.729288e-08
1.122711.8207063.751792e-08
1.126531.8206093.774373e-08
1.130361.8205113.797031e-08
1.13421.8204133.819766e-08
1.138061.8203163.842579e-08
1.141931.8202193.865469e-08
1.145811.8201223.888436e-08
1.149711.8200253.911482e-08
1.153621.8199283.934606e-08
1.157541.8198323.957809e-08
1.161481.8197353.981091e-08
1.165431.8196394.004452e-08
1.169391.8195434.027892e-08
1.173371.8194474.051412e-08
1.177361.8193514.075012e-08
1.181361.8192554.098693e-08
1.185381.8191594.122454e-08
1.189411.8190634.146295e-08
1.193451.8189684.170218e-08
1.197511.8188724.194222e-08
1.201581.8187774.218308e-08
1.205671.8186824.242475e-08
1.209771.8185864.266725e-08
1.213881.8184914.291058e-08
1.218011.8183964.315473e-08
1.222151.8183014.339971e-08
1.226311.8182064.364552e-08
1.230481.8181114.389217e-08
1.234671.8180164.413966e-08
1.238861.8179214.438799e-08
1.243081.8178264.463716e-08
1.24731.8177324.488718e-08
1.251551.8176374.513805e-08
1.25581.8175424.538978e-08
1.260071.8174474.564236e-08
1.264361.8173534.589580e-08
1.268661.8172584.615010e-08
1.272971.8171634.640527e-08
1.27731.8170684.666130e-08
1.281641.8169744.691821e-08
1.2861.8168794.717599e-08
1.290381.8167844.743464e-08
1.294761.8166894.769418e-08
1.299171.8165954.795459e-08
1.303581.81654.821590e-08
1.308021.8164054.847809e-08
1.312471.816314.874117e-08
1.316931.8162154.900515e-08
1.321411.816124.927002e-08
1.32591.8160254.953580e-08
1.330411.815934.980248e-08
1.334931.8158355.007007e-08
1.339471.8157395.033856e-08
1.344031.8156445.060797e-08
1.34861.8155495.087830e-08
1.353181.8154535.114954e-08
1.357791.8153585.142171e-08
1.36241.8152625.169481e-08
1.367041.8151665.196883e-08
1.371691.815075.224378e-08
1.376351.8149745.251967e-08
1.381031.8148785.279650e-08
1.385731.8147825.307427e-08
1.390441.8146865.335298e-08
1.395171.8145895.363264e-08
1.399911.8144935.391325e-08
1.404671.8143965.419482e-08
1.409451.8142995.447734e-08
1.414241.8142025.476082e-08
1.419051.8141055.504527e-08
1.423881.8140085.533069e-08
1.428721.813915.561707e-08
1.433581.8138135.590444e-08
1.438451.8137155.619277e-08
1.443341.8136175.648209e-08
1.448251.8135195.677239e-08
1.453181.8134215.706368e-08
1.458121.8133225.735596e-08
1.463081.8132235.764923e-08
1.468051.8131245.794350e-08
1.473051.8130255.823878e-08
1.478051.8129265.853505e-08
1.483081.8128275.883233e-08
1.488121.8127275.913063e-08
1.493191.8126275.942994e-08
1.498261.8125275.973026e-08
1.51.8124935.983300e-08
1.503361.8124266.268687e-08
1.508471.8123266.703173e-08
1.51361.8122257.139135e-08
1.518751.8121247.576581e-08
1.523911.8120228.015514e-08
1.529091.8119218.455939e-08
1.534291.8118198.897863e-08
1.539511.8117179.341289e-08
1.544751.8116149.786223e-08
1.551.8115121.023267e-07

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
—