Optical constants

Refractive index of K-SFLD11 (SUMITA)

K-SFLD11: 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
1.78473
Extinction coefficient k
7.39816e-08
Permittivity ε1
3.18526
Permittivity ε2
2.64074e-07
Absorption coefficient α
0.0158216 cm⁻¹
Penetration depth δ = λ/(2πk)
1.26409e+09 nm
Abbe number Vd
25.912
Chromatic dispersion dn/dλ
-0.151534 µm⁻¹
Group index ng
1.87377
Group velocity dispersion
312.374 fs²/mm
Dispersion parameter D
-1704.16 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-SFLD11 (SUMITA): K-SFLD11
sumita_k_sfld11 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-SFLD11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_sfld11.range_nm)  # (400, 1550) nm
eps = sumita_k_sfld11.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=3.052913−0.012276955⁢λ2.0+0.041487837⁢λ−2.0+0.0019043764⁢λ−4.0−3.1653157×10-5⁢λ−6.0+1.7320425×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.052913
C2-0.012276955
C32.0
C40.041487837
C5-2.0
C60.0019043764
C7-4.0
C8-3.1653157e-05
C9-6.0
C101.7320425e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -5.51e-06 1.82e-08 -3.64e-10 1.08e-06 1.52e-09 0.28
nd
1.78472
Vd
25.9
glass code
785259
density
value: 3300
thermal expansion
value: 9.3e-06, temperature range: 243 343; value: 1.05e-05, temperature range: 293 573
dPgF
0.0144
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.31e-06 K⁻¹ at 633 nm, dn/dT = -2.85e-06 K⁻¹ at 1310 nm, dn/dT = -2.95e-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-SFLD11 (SUMITA), K-SFLD11: n and k versus wavelength
λ (µm)nk
0.41.8448146.239300e-07
0.401361.8439136.051926e-07
0.4027251.8430235.863914e-07
0.4040951.8421435.675264e-07
0.4054691.8412735.485971e-07
0.4068481.8404145.296036e-07
0.4082311.8395655.105454e-07
0.4096191.8387264.914224e-07
0.4110121.8378964.722343e-07
0.412411.8370764.529811e-07
0.4138131.8362664.336623e-07
0.415221.8354644.142779e-07
0.4166321.8346723.948275e-07
0.4180491.8338893.753110e-07
0.419471.8331143.557281e-07
0.421.8328293.484300e-07
0.4208971.8323493.438638e-07
0.4223281.8315923.365749e-07
0.4237641.8308433.292611e-07
0.4252051.8301023.219225e-07
0.4266511.829373.145590e-07
0.4281021.8286463.071704e-07
0.4295581.8279292.997566e-07
0.4310191.8272212.923177e-07
0.4324841.826522.848535e-07
0.4339551.8258262.773639e-07
0.4354311.825142.698488e-07
0.4369121.8244622.623081e-07
0.4383971.8237912.547419e-07
0.4398881.8231262.471498e-07
0.441.8230772.465800e-07
0.4413841.8224692.433110e-07
0.4428851.8218192.397657e-07
0.4443911.8211752.362083e-07
0.4459021.8205392.326389e-07
0.4474191.8199082.290572e-07
0.448941.8192852.254635e-07
0.4504671.8186682.218575e-07
0.4519991.8180572.182392e-07
0.4535361.8174522.146086e-07
0.4550781.8168542.109657e-07
0.4566261.8162612.073104e-07
0.4581781.8156752.036427e-07
0.4597361.8150941.999624e-07
0.461.8149971.993400e-07
0.46131.814521.972953e-07
0.4628691.8139511.948277e-07
0.4644431.8133871.923518e-07
0.4660221.812831.898674e-07
0.4676071.8122781.873746e-07
0.4691971.8117311.848732e-07
0.4707921.8111891.823634e-07
0.4723931.8106531.798451e-07
0.4741.8101221.773182e-07
0.4756121.8095971.747826e-07
0.4772291.8090761.722385e-07
0.4788521.808561.696857e-07
0.481.80821.678800e-07
0.480481.808051.670546e-07
0.4821141.8075441.642475e-07
0.4837541.8070431.614309e-07
0.4853991.8065471.586047e-07
0.487051.8060551.557688e-07
0.4887061.8055681.529234e-07
0.4903681.8050861.500682e-07
0.4920351.8046081.472033e-07
0.4937091.8041351.443287e-07
0.4953871.8036661.414444e-07
0.4970721.8032011.385502e-07
0.4987621.8027411.356462e-07
0.51.8024081.335200e-07
0.5004591.8022851.330246e-07
0.502161.8018331.311859e-07
0.5038681.8013851.293409e-07
0.5055821.8009421.274896e-07
0.5073011.8005021.256321e-07
0.5090261.8000661.237682e-07
0.5107571.7996351.218980e-07
0.5124941.7992071.200214e-07
0.5142371.7987831.181385e-07
0.5159851.7983631.162491e-07
0.517741.7979461.143533e-07
0.5195011.7975341.124511e-07
0.5212671.7971251.105424e-07
0.523041.7967191.086272e-07
0.5248191.7963171.067055e-07
0.5266031.7959191.047773e-07
0.5283941.7955241.028425e-07
0.5301911.7951331.009011e-07
0.5319941.7947459.895313e-08
0.5338031.794369.699853e-08
0.5356181.7939799.503729e-08
0.537441.7936019.306938e-08
0.5392671.7932269.109477e-08
0.5411011.7928548.911345e-08
0.5429411.7924868.712539e-08
0.5447881.7921218.513057e-08
0.546641.7917598.312897e-08
0.5484991.79148.112056e-08
0.551.7911137.949900e-08
0.5503641.7910447.944553e-08
0.5522361.7906917.917090e-08
0.5541141.7903417.889533e-08
0.5559981.7899947.861882e-08
0.5578891.7896497.834137e-08
0.5597861.7893087.806298e-08
0.561691.788977.778364e-08
0.56361.7886347.750336e-08
0.5655161.7883017.722212e-08
0.567441.7879717.693992e-08
0.5693691.7876447.665676e-08
0.5713051.7873197.637264e-08
0.5732481.7869977.608756e-08
0.5751981.7866787.580150e-08
0.5771541.7863617.551448e-08
0.5791161.7860477.522647e-08
0.5810861.7857357.493749e-08
0.5830621.7854267.464752e-08
0.5850441.7851197.435657e-08
0.5870341.7848157.406463e-08
0.589031.7845137.377170e-08
0.5910331.7842147.347777e-08
0.5930431.7839177.318284e-08
0.595061.7836227.288690e-08
0.5970841.783337.258996e-08
0.5991141.783047.229202e-08
0.61.7829157.216200e-08
0.6011511.7827527.230048e-08
0.6031961.7824677.254637e-08
0.6052471.7821847.279309e-08
0.6073051.7819037.304065e-08
0.609371.7816247.328906e-08
0.6114431.7813487.353831e-08
0.6135221.7810737.378840e-08
0.6156081.7808017.403935e-08
0.6177021.7805317.429115e-08
0.6198021.7802637.454381e-08
0.621911.7799977.479732e-08
0.6240251.7797337.505170e-08
0.6261471.7794717.530694e-08
0.6282761.7792117.556305e-08
0.6304131.7789537.582003e-08
0.6325561.7786977.607789e-08
0.6347081.7784437.633662e-08
0.6368661.7781917.659623e-08
0.6390321.7779417.685673e-08
0.6412051.7776927.711811e-08
0.6433851.7774467.738038e-08
0.6455731.7772017.764354e-08
0.6477691.7769597.790760e-08
0.6499711.7767187.817255e-08
0.651.7767147.817600e-08
0.6521821.7764787.769922e-08
0.6543991.7762417.721454e-08
0.6566251.7760057.672821e-08
0.6588581.7757717.624022e-08
0.6610981.7755397.575058e-08
0.6633461.7753097.525927e-08
0.6656021.775087.476629e-08
0.6678661.7748537.427163e-08
0.6701371.7746277.377529e-08
0.6724161.7744037.327727e-08
0.6747021.7741817.277755e-08
0.6769971.7739617.227613e-08
0.6792991.7737427.177300e-08
0.6816091.7735247.126817e-08
0.6839271.7733087.076161e-08
0.6862531.7730947.025334e-08
0.6885861.7728816.974334e-08
0.6909281.772676.923160e-08
0.6932781.772466.871812e-08
0.6956351.7722526.820290e-08
0.6980011.7720456.768592e-08
0.71.7718726.724900e-08
0.7003741.7718396.706884e-08
0.7027561.7716366.592272e-08
0.7051461.7714336.477270e-08
0.7075441.7712326.361876e-08
0.709951.7710326.246091e-08
0.7123641.7708346.129911e-08
0.7147871.7706376.013336e-08
0.7172171.7704415.896365e-08
0.7196561.7702475.778997e-08
0.7221041.7700545.661229e-08
0.7245591.7698625.543060e-08
0.7270231.7696725.424490e-08
0.7294961.7694835.305517e-08
0.7319761.7692955.186139e-08
0.7344651.7691095.066355e-08
0.7369631.7689244.946163e-08
0.7394691.768744.825563e-08
0.7419841.7685574.704553e-08
0.7445071.7683764.583131e-08
0.7470391.7681954.461297e-08
0.7495791.7680164.339048e-08
0.7521281.7678384.216383e-08
0.7546861.7676624.093301e-08
0.7572521.7674863.969801e-08
0.7598281.7673123.845881e-08
0.7624111.7671383.721539e-08
0.7650041.7669663.596775e-08
0.7676061.7667953.471586e-08
0.7702161.7666253.345971e-08
0.7728351.7664563.219929e-08
0.7754631.7662893.093459e-08
0.77811.7661222.966559e-08
0.7807461.7659562.839227e-08
0.7834011.7657922.711462e-08
0.7860651.7656282.583262e-08
0.7887381.7654662.454627e-08
0.7914211.7653042.325554e-08
0.7941121.7651442.196042e-08
0.7968121.7649842.066090e-08
0.7995221.7648261.935696e-08
0.81.7647981.912700e-08
0.8022411.7646681.918059e-08
0.8049691.7645121.924582e-08
0.8077071.7643561.931127e-08
0.8104531.7642021.937695e-08
0.8132091.7640481.944285e-08
0.8159751.7638951.950898e-08
0.8187491.7637441.957533e-08
0.8215341.7635931.964191e-08
0.8243271.7634431.970871e-08
0.8271311.7632941.977574e-08
0.8299431.7631451.984299e-08
0.8327661.7629981.991048e-08
0.8355981.7628521.997820e-08
0.8384391.7627062.004614e-08
0.841291.7625612.011432e-08
0.8441511.7624182.018273e-08
0.8470221.7622752.025137e-08
0.8499021.7621322.032024e-08
0.8527931.7619912.038935e-08
0.8556931.761852.045870e-08
0.8586031.7617112.052828e-08
0.8615221.7615722.059809e-08
0.8644521.7614332.066815e-08
0.8673921.7612962.073844e-08
0.8703411.7611592.080897e-08
0.8733011.7610232.087974e-08
0.8762711.7608882.095075e-08
0.8792511.7607542.102201e-08
0.8822411.760622.109350e-08
0.8852411.7604872.116524e-08
0.8882511.7603552.123722e-08
0.8912721.7602232.130945e-08
0.8943031.7600932.138192e-08
0.8973441.7599632.145464e-08
0.9003951.7598332.152761e-08
0.9034571.7597042.160082e-08
0.906531.7595762.167429e-08
0.9096121.7594492.174800e-08
0.9127061.7593222.182197e-08
0.9158091.7591962.189618e-08
0.9189241.7590712.197065e-08
0.9220491.7589462.204537e-08
0.9251841.7588222.212035e-08
0.928331.7586982.219558e-08
0.9314871.7585752.227106e-08
0.9346551.7584532.234681e-08
0.9378331.7583312.242281e-08
0.9410231.758212.249907e-08
0.9442231.758092.257558e-08
0.9474341.757972.265236e-08
0.9506551.7578512.272940e-08
0.9538881.7577322.280670e-08
0.9571321.7576142.288427e-08
0.9603871.7574962.296210e-08
0.9636531.7573792.304019e-08
0.966931.7572622.311855e-08
0.9702181.7571462.319717e-08
0.9735171.7570312.327607e-08
0.9768281.7569162.335523e-08
0.980151.7568022.343466e-08
0.9834831.7566882.351436e-08
0.9868271.7565742.359433e-08
0.9901831.7564612.367457e-08
0.993551.7563492.375509e-08
0.9969291.7562372.383588e-08
1.000321.7561262.391694e-08
1.003721.7560152.399828e-08
1.007131.7559042.407990e-08
1.010561.7557942.416179e-08
1.0141.7556852.424396e-08
1.017441.7555752.432642e-08
1.02091.7554672.440915e-08
1.024381.7553592.449216e-08
1.027861.7552512.457546e-08
1.031351.7551432.465904e-08
1.034861.7550362.474290e-08
1.038381.754932.482705e-08
1.041911.7548242.491148e-08
1.045451.7547182.499621e-08
1.049011.7546132.508122e-08
1.052581.7545082.516652e-08
1.056161.7544032.525211e-08
1.059751.7542992.533799e-08
1.061.7542922.534400e-08
1.063351.7541952.624885e-08
1.066971.7540922.722491e-08
1.07061.7539892.820429e-08
1.074241.7538862.918699e-08
1.077891.7537843.017304e-08
1.081561.7536823.116244e-08
1.085231.753583.215520e-08
1.088921.7534793.315135e-08
1.092631.7533783.415088e-08
1.096341.7532773.515380e-08
1.100071.7531773.616014e-08
1.103811.7530773.716990e-08
1.107571.7529773.818310e-08
1.111331.7528783.919974e-08
1.115111.7527794.021983e-08
1.11891.752684.124340e-08
1.122711.7525824.227045e-08
1.126531.7524834.330099e-08
1.130361.7523864.433503e-08
1.13421.7522884.537259e-08
1.138061.7521914.641368e-08
1.141931.7520934.745831e-08
1.145811.7519974.850649e-08
1.149711.75194.955823e-08
1.153621.7518045.061356e-08
1.157541.7517085.167247e-08
1.161481.7516125.273498e-08
1.165431.7515165.380111e-08
1.169391.7514215.487086e-08
1.173371.7513265.594424e-08
1.177361.7512315.702128e-08
1.181361.7511365.810199e-08
1.185381.7510415.918636e-08
1.189411.7509476.027443e-08
1.193451.7508536.136619e-08
1.197511.7507596.246167e-08
1.201581.7506656.356087e-08
1.205671.7505726.466381e-08
1.209771.7504796.577050e-08
1.213881.7503856.688095e-08
1.218011.7502926.799518e-08
1.222151.75026.911320e-08
1.226311.7501077.023502e-08
1.230481.7500157.136066e-08
1.234671.7499227.249013e-08
1.238861.749837.362343e-08
1.243081.7497387.476059e-08
1.24731.7496467.590162e-08
1.251551.7495547.704652e-08
1.25581.7494637.819532e-08
1.260071.7493717.934803e-08
1.264361.749288.050465e-08
1.268661.7491898.166521e-08
1.272971.7490978.282972e-08
1.27731.7490068.399819e-08
1.281641.7489158.517063e-08
1.2861.7488258.634705e-08
1.290381.7487348.752748e-08
1.294761.7486438.871192e-08
1.299171.7485538.990039e-08
1.303581.7484629.109290e-08
1.308021.7483729.228947e-08
1.312471.7482819.349010e-08
1.316931.7481919.469482e-08
1.321411.7481019.590363e-08
1.32591.7480119.711656e-08
1.330411.7479219.833361e-08
1.334931.7478319.955480e-08
1.339471.7477411.007801e-07
1.344031.7476511.020096e-07
1.34861.7475611.032433e-07
1.353181.7474711.044812e-07
1.357791.7473811.057233e-07
1.36241.7472911.069696e-07
1.367041.7472011.082202e-07
1.371691.7471111.094750e-07
1.376351.7470221.107341e-07
1.381031.7469321.119974e-07
1.385731.7468421.132651e-07
1.390441.7467521.145371e-07
1.395171.7466621.158133e-07
1.399911.7465731.170940e-07
1.404671.7464831.183790e-07
1.409451.7463931.196683e-07
1.414241.7463031.209621e-07
1.419051.7462131.222602e-07
1.423881.7461231.235628e-07
1.428721.7460331.248697e-07
1.433581.7459431.261812e-07
1.438451.7458531.274971e-07
1.443341.7457631.288174e-07
1.448251.7456731.301423e-07
1.453181.7455831.314716e-07
1.458121.7454921.328055e-07
1.463081.7454021.341439e-07
1.468051.7453111.354869e-07
1.473051.7452211.368344e-07
1.478051.745131.381865e-07
1.483081.745041.395433e-07
1.488121.7449491.409046e-07
1.493191.7448581.422705e-07
1.498261.7447671.436411e-07
1.51.7447361.441100e-07
1.503361.7446761.466185e-07
1.508471.7445851.504375e-07
1.51361.7444931.542695e-07
1.518751.7444021.581146e-07
1.523911.744311.619727e-07
1.529091.7442191.658439e-07
1.534291.7441271.697283e-07
1.539511.7440351.736260e-07
1.544751.7439431.775368e-07
1.551.743851.814610e-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
—