Optical constants

Refractive index of K-SFLDn3 (SUMITA)

K-SFLDn3: 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
1.84666
Extinction coefficient k
4.55649e-08
Permittivity ε1
3.41014
Permittivity ε2
1.68285e-07
Absorption coefficient α
0.00974448 cm⁻¹
Penetration depth δ = λ/(2πk)
2.05244e+09 nm
Abbe number Vd
23.896
Chromatic dispersion dn/dλ
-0.176745 µm⁻¹
Group index ng
1.95051
Group velocity dispersion
369.129 fs²/mm
Dispersion parameter D
-2013.79 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-SFLDn3 (SUMITA): K-SFLDn3
sumita_k_sfldn3 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-SFLDn3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_sfldn3.range_nm)  # (400, 1550) nm
eps = sumita_k_sfldn3.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=3.2503692−0.013195714⁢λ2.0+0.049790724⁢λ−2.0+0.0022430157⁢λ−4.0−7.7567761×10-6⁢λ−6.0+2.1169316×10-5⁢λ−8.0

Valid from 0.4 to 1.55 µm.

Coefficients as stored
CiValue
C13.2503692
C2-0.013195714
C32.0
C40.049790724
C5-2.0
C60.0022430157
C7-4.0
C8-7.7567761e-06
C9-6.0
C102.1169316e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -6.01e-06 1.26e-08 -1.23e-10 1.06e-06 1.37e-09 0.294
nd
1.84666
Vd
23.9
glass code
847239
density
value: 3490
thermal expansion
value: 8.9e-06, temperature range: 243 343; value: 1.06e-05, temperature range: 293 573
dPgF
0.018
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.71e-06 K⁻¹ at 633 nm, dn/dT = -3.35e-06 K⁻¹ at 1310 nm, dn/dT = -3.45e-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-SFLDn3 (SUMITA), K-SFLDn3: n and k versus wavelength
λ (µm)nk
0.41.9176751.874200e-06
0.401361.9165981.798309e-06
0.4027251.9155341.722160e-06
0.4040951.9144831.645752e-06
0.4054691.9134451.569084e-06
0.4068481.9124191.492156e-06
0.4082311.9114051.414965e-06
0.4096191.9104041.337513e-06
0.4110121.9094141.259797e-06
0.412411.9084361.181816e-06
0.4138131.907471.103571e-06
0.415221.9065151.025059e-06
0.4166321.905579.462808e-07
0.4180491.9046378.672344e-07
0.419471.9037157.879191e-07
0.421.9033757.583600e-07
0.4208971.9028037.410744e-07
0.4223281.9019027.134816e-07
0.4237641.9010116.857950e-07
0.4252051.900136.580142e-07
0.4266511.8992596.301390e-07
0.4281021.8983976.021689e-07
0.4295581.8975465.741038e-07
0.4310191.8967035.459432e-07
0.4324841.8958715.176868e-07
0.4339551.8950474.893344e-07
0.4354311.8942324.608855e-07
0.4369121.8934274.323399e-07
0.4383971.892634.036972e-07
0.4398881.8918423.749572e-07
0.441.8917833.728000e-07
0.4413841.8910623.626761e-07
0.4428851.8902913.516964e-07
0.4443911.8895273.406794e-07
0.4459021.8887733.296249e-07
0.4474191.8880263.185329e-07
0.448941.8872873.074031e-07
0.4504671.8865562.962355e-07
0.4519991.8858322.850299e-07
0.4535361.8851162.737862e-07
0.4550781.8844082.625042e-07
0.4566261.8837072.511839e-07
0.4581781.8830132.398251e-07
0.4597361.8823272.284277e-07
0.461.8822112.265000e-07
0.46131.8816472.219134e-07
0.4628691.8809742.163782e-07
0.4644431.8803092.108242e-07
0.4660221.8796492.052514e-07
0.4676071.8789971.996595e-07
0.4691971.8783511.940487e-07
0.4707921.8777121.884187e-07
0.4723931.8770791.827696e-07
0.4741.8764521.771014e-07
0.4756121.8758321.714138e-07
0.4772291.8752181.657069e-07
0.4788521.874611.599806e-07
0.481.8741841.559300e-07
0.480481.8740071.548987e-07
0.4821141.8734111.513915e-07
0.4837541.8728211.478723e-07
0.4853991.8722361.443412e-07
0.487051.8716571.407981e-07
0.4887061.8710831.372429e-07
0.4903681.8705151.336756e-07
0.4920351.8699521.300962e-07
0.4937091.8693951.265046e-07
0.4953871.8688431.229008e-07
0.4970721.8682971.192848e-07
0.4987621.8677551.156565e-07
0.51.8673631.130000e-07
0.5004591.8672191.124483e-07
0.502161.8666871.104006e-07
0.5038681.8661611.083459e-07
0.5055821.8656391.062842e-07
0.5073011.8651231.042155e-07
0.5090261.8646111.021398e-07
0.5107571.8641041.000570e-07
0.5124941.8636019.796716e-08
0.5142371.8631039.587019e-08
0.5159851.862619.376609e-08
0.517741.8621219.165484e-08
0.5195011.8616378.953641e-08
0.5212671.8611578.741077e-08
0.523041.8606818.527790e-08
0.5248191.8602098.313778e-08
0.5266031.8597428.099039e-08
0.5283941.8592797.883569e-08
0.5301911.858827.667366e-08
0.5319941.8583667.450428e-08
0.5338031.8579157.232752e-08
0.5356181.8574687.014336e-08
0.537441.8570256.795178e-08
0.5392671.8565866.575274e-08
0.5411011.8561516.354622e-08
0.5429411.855726.133220e-08
0.5447881.8552935.911065e-08
0.546641.8548695.688155e-08
0.5484991.8544495.464486e-08
0.551.8541135.283900e-08
0.5503641.8540325.276851e-08
0.5522361.8536195.240643e-08
0.5541141.853215.204312e-08
0.5559981.8528045.167858e-08
0.5578891.8524015.131280e-08
0.5597861.8520025.094577e-08
0.561691.8516075.057750e-08
0.56361.8512155.020797e-08
0.5655161.8508264.983719e-08
0.567441.850444.946514e-08
0.5693691.8500574.909183e-08
0.5713051.8496784.871726e-08
0.5732481.8493024.834140e-08
0.5751981.8489294.796427e-08
0.5771541.8485594.758586e-08
0.5791161.8481934.720616e-08
0.5810861.8478294.682517e-08
0.5830621.8474684.644288e-08
0.5850441.847114.605929e-08
0.5870341.8467554.567440e-08
0.589031.8464044.528820e-08
0.5910331.8460544.490069e-08
0.5930431.8457084.451186e-08
0.595061.8453654.412170e-08
0.5970841.8450244.373022e-08
0.5991141.8446864.333741e-08
0.61.844544.316600e-08
0.6011511.8443514.324885e-08
0.6031961.8440194.339596e-08
0.6052471.8436894.354356e-08
0.6073051.8433614.369167e-08
0.609371.8430374.384029e-08
0.6114431.8427154.398940e-08
0.6135221.8423954.413903e-08
0.6156081.8420784.428916e-08
0.6177021.8417644.443981e-08
0.6198021.8414524.459096e-08
0.621911.8411424.474264e-08
0.6240251.8408354.489482e-08
0.6261471.8405314.504753e-08
0.6282761.8402284.520075e-08
0.6304131.8399284.535449e-08
0.6325561.8396314.550876e-08
0.6347081.8393354.566355e-08
0.6368661.8390424.581887e-08
0.6390321.8387514.597472e-08
0.6412051.8384634.613110e-08
0.6433851.8381764.628800e-08
0.6455731.8378924.644545e-08
0.6477691.837614.660342e-08
0.6499711.837334.676194e-08
0.651.8373274.676400e-08
0.6521821.8370524.667582e-08
0.6543991.8367774.658617e-08
0.6566251.8365034.649622e-08
0.6588581.8362314.640597e-08
0.6610981.8359624.631541e-08
0.6633461.8356944.622454e-08
0.6656021.8354294.613336e-08
0.6678661.8351654.604187e-08
0.6701371.8349044.595007e-08
0.6724161.8346444.585796e-08
0.6747021.8343864.576553e-08
0.6769971.8341314.567279e-08
0.6792991.8338774.557974e-08
0.6816091.8336244.548636e-08
0.6839271.8333744.539267e-08
0.6862531.8331264.529867e-08
0.6885861.8328794.520434e-08
0.6909281.8326344.510969e-08
0.6932781.8323914.501472e-08
0.6956351.832154.491943e-08
0.6980011.831914.482381e-08
0.71.831714.474300e-08
0.7003741.8316724.469496e-08
0.7027561.8314364.438934e-08
0.7051461.8312024.408268e-08
0.7075441.8309694.377498e-08
0.709951.8307384.346623e-08
0.7123641.8305084.315643e-08
0.7147871.830284.284558e-08
0.7172171.8300544.253367e-08
0.7196561.8298294.222070e-08
0.7221041.8296064.190666e-08
0.7245591.8293844.159156e-08
0.7270231.8291644.127538e-08
0.7294961.8289464.095814e-08
0.7319761.8287294.063981e-08
0.7344651.8285134.032040e-08
0.7369631.8282993.999990e-08
0.7394691.8280873.967831e-08
0.7419841.8278753.935563e-08
0.7445071.8276663.903185e-08
0.7470391.8274573.870698e-08
0.7495791.8272513.838099e-08
0.7521281.8270453.805390e-08
0.7546861.8268413.772570e-08
0.7572521.8266383.739637e-08
0.7598281.8264373.706593e-08
0.7624111.8262373.673437e-08
0.7650041.8260383.640168e-08
0.7676061.8258413.606786e-08
0.7702161.8256453.573290e-08
0.7728351.825453.539680e-08
0.7754631.8252573.505956e-08
0.77811.8250653.472117e-08
0.7807461.8248743.438164e-08
0.7834011.8246843.404094e-08
0.7860651.8244953.369909e-08
0.7887381.8243083.335608e-08
0.7914211.8241223.301190e-08
0.7941121.8239373.266655e-08
0.7968121.8237543.232002e-08
0.7995221.8235713.197232e-08
0.81.8235393.191100e-08
0.8022411.823393.178150e-08
0.8049691.823213.162386e-08
0.8077071.823033.146568e-08
0.8104531.8228533.130697e-08
0.8132091.8226763.114771e-08
0.8159751.82253.098791e-08
0.8187491.8223253.082757e-08
0.8215341.8221523.066668e-08
0.8243271.8219793.050525e-08
0.8271311.8218083.034326e-08
0.8299431.8216383.018073e-08
0.8327661.8214683.001764e-08
0.8355981.82132.985400e-08
0.8384391.8211332.968980e-08
0.841291.8209662.952505e-08
0.8441511.8208012.935973e-08
0.8470221.8206372.919385e-08
0.8499021.8204742.902741e-08
0.8527931.8203112.886040e-08
0.8556931.820152.869282e-08
0.8586031.8199892.852468e-08
0.8615221.819832.835596e-08
0.8644521.8196712.818667e-08
0.8673921.8195142.801680e-08
0.8703411.8193572.784635e-08
0.8733011.8192012.767533e-08
0.8762711.8190462.750372e-08
0.8792511.8188922.733153e-08
0.8822411.8187392.715875e-08
0.8852411.8185872.698539e-08
0.8882511.8184352.681144e-08
0.8912721.8182852.663689e-08
0.8943031.8181352.646176e-08
0.8973441.8179862.628602e-08
0.9003951.8178382.610969e-08
0.9034571.8176912.593276e-08
0.906531.8175442.575523e-08
0.9096121.8173982.557709e-08
0.9127061.8172532.539835e-08
0.9158091.8171092.521900e-08
0.9189241.8169662.503904e-08
0.9220491.8168232.485847e-08
0.9251841.8166812.467728e-08
0.928331.816542.449548e-08
0.9314871.81642.431306e-08
0.9346551.816262.413002e-08
0.9378331.8161212.394636e-08
0.9410231.8159832.376207e-08
0.9442231.8158462.357715e-08
0.9474341.8157092.339161e-08
0.9506551.8155732.320544e-08
0.9538881.8154372.301863e-08
0.9571321.8153032.283119e-08
0.9603871.8151692.264311e-08
0.9636531.8150352.245439e-08
0.966931.8149022.226503e-08
0.9702181.814772.207502e-08
0.9735171.8146392.188437e-08
0.9768281.8145082.169307e-08
0.980151.8143782.150112e-08
0.9834831.8142482.130852e-08
0.9868271.8141192.111526e-08
0.9901831.8139912.092134e-08
0.993551.8138632.072677e-08
0.9969291.8137362.053153e-08
1.000321.8136092.033563e-08
1.003721.8134832.013907e-08
1.007131.8133571.994183e-08
1.010561.8132321.974393e-08
1.0141.8131081.954535e-08
1.017441.8129841.934610e-08
1.02091.8128611.914616e-08
1.024381.8127381.894555e-08
1.027861.8126161.874426e-08
1.031351.8124941.854228e-08
1.034861.8123731.833962e-08
1.038381.8122521.813626e-08
1.041911.8121321.793222e-08
1.045451.8120121.772748e-08
1.049011.8118931.752204e-08
1.052581.8117741.731591e-08
1.056161.8116561.710907e-08
1.059751.8115381.690153e-08
1.061.811531.688700e-08
1.063351.8114211.703158e-08
1.066971.8113041.718754e-08
1.07061.8111871.734403e-08
1.074241.8110711.750105e-08
1.077891.8109561.765861e-08
1.081561.8108411.781670e-08
1.085231.8107261.797533e-08
1.088921.8106121.813450e-08
1.092631.8104981.829420e-08
1.096341.8103841.845446e-08
1.100071.8102711.861525e-08
1.103811.8101581.877660e-08
1.107571.8100461.893849e-08
1.111331.8099341.910094e-08
1.115111.8098231.926393e-08
1.11891.8097111.942748e-08
1.122711.8096011.959159e-08
1.126531.809491.975625e-08
1.130361.809381.992148e-08
1.13421.809272.008726e-08
1.138061.8091612.025361e-08
1.141931.8090522.042053e-08
1.145811.8089432.058801e-08
1.149711.8088342.075607e-08
1.153621.8087262.092469e-08
1.157541.8086192.109389e-08
1.161481.8085112.126366e-08
1.165431.8084042.143401e-08
1.169391.8082972.160494e-08
1.173371.808192.177645e-08
1.177361.8080842.194855e-08
1.181361.8079782.212123e-08
1.185381.8078722.229449e-08
1.189411.8077672.246835e-08
1.193451.8076612.264280e-08
1.197511.8075562.281784e-08
1.201581.8074522.299347e-08
1.205671.8073472.316971e-08
1.209771.8072432.334654e-08
1.213881.8071392.352397e-08
1.218011.8070352.370201e-08
1.222151.8069312.388065e-08
1.226311.8068282.405990e-08
1.230481.8067252.423976e-08
1.234671.8066222.442023e-08
1.238861.8065192.460132e-08
1.243081.8064172.478302e-08
1.24731.8063142.496534e-08
1.251551.8062122.514828e-08
1.25581.806112.533184e-08
1.260071.8060092.551602e-08
1.264361.8059072.570083e-08
1.268661.8058062.588627e-08
1.272971.8057042.607234e-08
1.27731.8056032.625905e-08
1.281641.8055022.644638e-08
1.2861.8054012.663436e-08
1.290381.8053012.682297e-08
1.294761.80522.701223e-08
1.299171.80512.720213e-08
1.303581.8049992.739267e-08
1.308021.8048992.758387e-08
1.312471.8047992.777571e-08
1.316931.8046992.796821e-08
1.321411.80462.816136e-08
1.32591.80452.835516e-08
1.330411.80442.854963e-08
1.334931.8043012.874476e-08
1.339471.8042012.894055e-08
1.344031.8041022.913700e-08
1.34861.8040032.933413e-08
1.353181.8039032.953192e-08
1.357791.8038042.973039e-08
1.36241.8037052.992954e-08
1.367041.8036063.012936e-08
1.371691.8035073.032985e-08
1.376351.8034083.053104e-08
1.381031.8033093.073290e-08
1.385731.8032113.093545e-08
1.390441.8031123.113869e-08
1.395171.8030133.134263e-08
1.399911.8029143.154725e-08
1.404671.8028163.175257e-08
1.409451.8027173.195859e-08
1.414241.8026183.216531e-08
1.419051.8025193.237273e-08
1.423881.8024213.258086e-08
1.428721.8023223.278970e-08
1.433581.8022233.299925e-08
1.438451.8021253.320950e-08
1.443341.8020263.342048e-08
1.448251.8019273.363217e-08
1.453181.8018283.384458e-08
1.458121.8017293.405771e-08
1.463081.801633.427157e-08
1.468051.8015323.448616e-08
1.473051.8014333.470147e-08
1.478051.8013343.491752e-08
1.483081.8012343.513430e-08
1.488121.8011353.535182e-08
1.493191.8010363.557008e-08
1.498261.8009373.578908e-08
1.51.8009033.586400e-08
1.503361.8008373.800093e-08
1.508471.8007384.125429e-08
1.51361.8006384.451871e-08
1.518751.8005394.779423e-08
1.523911.8004395.108089e-08
1.529091.8003395.437873e-08
1.534291.8002395.768778e-08
1.539511.8001396.100808e-08
1.544751.8000396.433968e-08
1.551.7999396.768260e-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
—