Optical constants

Refractive index of K-LaSFn3 (SUMITA)

K-LaSFn3: 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
1.7995
Extinction coefficient k
2.45299e-08
Permittivity ε1
3.23818
Permittivity ε2
8.82830e-08
Absorption coefficient α
0.00524595 cm⁻¹
Penetration depth δ = λ/(2πk)
3.81246e+09 nm
Abbe number Vd
42.295
Chromatic dispersion dn/dλ
-0.0965399 µm⁻¹
Group index ng
1.85622
Group velocity dispersion
181.203 fs²/mm
Dispersion parameter D
-988.557 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-LaSFn3 (SUMITA): K-LaSFn3
sumita_k_lasfn3 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaSFn3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lasfn3.range_nm)  # (360, 1550) nm
eps = sumita_k_lasfn3.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=3.1507226−0.012460963⁢λ2.0+0.029910697⁢λ−2.0+0.00050733106⁢λ−4.0+3.6278868×10-5⁢λ−6.0−2.5019766×10-8⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.1507226
C2-0.012460963
C32.0
C40.029910697
C5-2.0
C60.00050733106
C7-4.0
C83.6278868e-05
C9-6.0
C10-2.5019766e-08
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.38e-07 3.13e-08 -2.27e-11 6.92e-07 5.55e-10 0.218
nd
1.79950
Vd
42.3
glass code
800423
density
value: 4390
thermal expansion
value: 6.9e-06, temperature range: 243 343; value: 8e-06, temperature range: 293 573
dPgF
-0.006
resistance
acid: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.42e-06 K⁻¹ at 633 nm, dn/dT = 4.55e-07 K⁻¹ at 1310 nm, dn/dT = 3.81e-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-LaSFn3 (SUMITA), K-LaSFn3: n and k versus wavelength
λ (µm)nk
0.361.851137.228300e-07
0.361321.8504576.869495e-07
0.3626441.849796.509375e-07
0.3639731.849136.147934e-07
0.3653081.8484775.785169e-07
0.3666471.8478315.421074e-07
0.3679911.8471915.055645e-07
0.369341.8465574.688875e-07
0.371.846254.509300e-07
0.3706931.845934.387475e-07
0.3720521.845314.148744e-07
0.3734161.8446953.909138e-07
0.3747851.8440863.668653e-07
0.3761591.8434843.427288e-07
0.3775371.8428883.185037e-07
0.3789211.8422972.941898e-07
0.381.8418422.752400e-07
0.380311.8417122.725549e-07
0.3817041.8411332.604947e-07
0.3831041.840562.483904e-07
0.3845081.8399932.362417e-07
0.3859171.8394312.240485e-07
0.3873321.8388742.118106e-07
0.3887521.8383231.995278e-07
0.391.8378441.887300e-07
0.3901771.8377771.879253e-07
0.3916071.8372371.814177e-07
0.3930431.8367011.748863e-07
0.3944831.8361711.683309e-07
0.3959291.8356461.617515e-07
0.3973811.8351261.551480e-07
0.3988371.8346111.485202e-07
0.41.8342051.432300e-07
0.4002991.8341011.424042e-07
0.4017671.8335961.383557e-07
0.4032391.8330951.342923e-07
0.4047171.83261.302140e-07
0.4062011.8321091.261208e-07
0.407691.8316221.220125e-07
0.4091841.831141.178892e-07
0.4106841.8306631.137508e-07
0.412191.830191.095973e-07
0.4137011.8297221.054285e-07
0.4152171.8292581.012444e-07
0.4167391.8287989.704495e-08
0.4182671.8283439.283013e-08
0.41981.8278928.859987e-08
0.421.8278338.804800e-08
0.4213391.8274448.760787e-08
0.4228831.8270028.710012e-08
0.4244331.8265638.659052e-08
0.4259891.8261288.607905e-08
0.4275511.8256978.556570e-08
0.4291181.825278.505047e-08
0.4306911.8248478.453335e-08
0.432271.8244288.401434e-08
0.4338541.8240138.349342e-08
0.4354451.8236018.297060e-08
0.4370411.8231938.244586e-08
0.4386431.8227898.191919e-08
0.441.822458.147300e-08
0.4402511.8223888.128522e-08
0.4418641.8219918.007625e-08
0.4434841.8215987.886285e-08
0.445111.8212087.764500e-08
0.4467411.8208217.642269e-08
0.4483791.8204387.519589e-08
0.4500231.8200597.396460e-08
0.4516721.8196827.272880e-08
0.4533281.8193097.148846e-08
0.454991.818947.024358e-08
0.4566571.8185736.899414e-08
0.4583311.818216.774011e-08
0.461.8178536.649000e-08
0.4600111.817856.647843e-08
0.4616981.8174936.476050e-08
0.463391.817146.303628e-08
0.4650891.8167896.130574e-08
0.4667931.8164415.956885e-08
0.4685051.8160975.782560e-08
0.4702221.8157555.607595e-08
0.4719461.8154165.431990e-08
0.4736751.8150815.255740e-08
0.4754121.8147485.078845e-08
0.4771541.8144184.901301e-08
0.4789041.814094.723106e-08
0.481.8138874.611400e-08
0.4806591.8137664.577981e-08
0.4824211.8134444.488634e-08
0.4841891.8131254.398960e-08
0.4859641.8128094.308957e-08
0.4877461.8124954.218625e-08
0.4895331.8121844.127961e-08
0.4913281.8118764.036965e-08
0.4931291.811573.945635e-08
0.4949361.8112673.853971e-08
0.4967511.8109673.761970e-08
0.4985721.8106693.669633e-08
0.51.8104373.597200e-08
0.5003991.8103733.589510e-08
0.5022331.810083.554174e-08
0.5040741.8097893.518710e-08
0.5059221.8095013.483115e-08
0.5077771.8092153.447389e-08
0.5096381.8089313.411533e-08
0.5115061.808653.375545e-08
0.5133811.8083713.339425e-08
0.5152631.8080943.303173e-08
0.5171521.807823.266788e-08
0.5190471.8075483.230270e-08
0.520951.8072783.193618e-08
0.522861.807013.156831e-08
0.5247761.8067443.119910e-08
0.52671.8064813.082853e-08
0.5286311.806223.045660e-08
0.5305681.805963.008331e-08
0.5325131.8057032.970866e-08
0.5344651.8054482.933263e-08
0.5364241.8051952.895522e-08
0.5383911.8049442.857642e-08
0.5403641.8046952.819624e-08
0.5423451.8044482.781467e-08
0.5443331.8042032.743169e-08
0.5463281.803962.704732e-08
0.5483311.8037192.666153e-08
0.551.803522.634000e-08
0.5503411.8034792.632359e-08
0.5523581.8032422.622647e-08
0.5543831.8030062.612900e-08
0.5564151.8027732.603118e-08
0.5584551.8025412.593299e-08
0.5605021.8023112.583444e-08
0.5625561.8020822.573554e-08
0.5646191.8018562.563626e-08
0.5666881.8016312.553663e-08
0.5687651.8014082.543663e-08
0.570851.8011872.533627e-08
0.5729431.8009672.523553e-08
0.5750431.8007492.513443e-08
0.5771511.8005332.503296e-08
0.5792671.8003182.493111e-08
0.581391.8001052.482889e-08
0.5835211.7998942.472630e-08
0.585661.7996842.462333e-08
0.5878071.7994762.451998e-08
0.5899611.7992692.441625e-08
0.5921241.7990642.431215e-08
0.5942951.798862.420766e-08
0.5964731.7986582.410279e-08
0.5986591.7984582.399753e-08
0.61.7983362.393300e-08
0.6008541.7982592.387833e-08
0.6030561.7980612.373733e-08
0.6052671.7978652.359581e-08
0.6074861.7976712.345377e-08
0.6097121.7974782.331121e-08
0.6119471.7972862.316813e-08
0.6141911.7970952.302452e-08
0.6164421.7969062.288038e-08
0.6187021.7967192.273572e-08
0.620971.7965332.259053e-08
0.6232461.7963482.244481e-08
0.625531.7961642.229855e-08
0.6278231.7959822.215175e-08
0.6301251.7958012.200442e-08
0.6324341.7956222.185655e-08
0.6347531.7954432.170813e-08
0.6370791.7952662.155917e-08
0.6394151.7950912.140967e-08
0.6417591.7949162.125961e-08
0.6441111.7947432.110901e-08
0.6464721.7945712.095786e-08
0.6488421.79442.080615e-08
0.651.7943172.073200e-08
0.651221.7942312.063448e-08
0.6536071.7940622.044370e-08
0.6560031.7938952.025222e-08
0.6584081.7937292.006004e-08
0.6608211.7935641.986716e-08
0.6632441.79341.967357e-08
0.6656751.7932371.947926e-08
0.6681151.7930761.928425e-08
0.6705641.7929161.908852e-08
0.6730221.7927561.889208e-08
0.6754891.7925981.869491e-08
0.6779651.7924411.849702e-08
0.680451.7922851.829841e-08
0.6829451.792131.809907e-08
0.6854481.7919761.789899e-08
0.6879611.7918231.769819e-08
0.6904821.7916711.749665e-08
0.6930131.791521.729436e-08
0.6955541.791371.709134e-08
0.6981031.7912211.688758e-08
0.71.7911111.673600e-08
0.7006621.7910731.687892e-08
0.7032311.7909261.743306e-08
0.7058091.790781.798924e-08
0.7083961.7906351.854746e-08
0.7109921.7904911.910773e-08
0.7135991.7903481.967005e-08
0.7162141.7902062.023443e-08
0.718841.7900642.080088e-08
0.7214751.7899242.136940e-08
0.7241191.7897852.194001e-08
0.7267741.7896462.251271e-08
0.7294381.7895082.308751e-08
0.7321121.7893712.366442e-08
0.7347951.7892352.424344e-08
0.7374891.78912.482459e-08
0.7401921.7889662.540786e-08
0.7429051.7888322.599327e-08
0.7456291.78872.658083e-08
0.7483621.7885682.717055e-08
0.7511051.7884372.776242e-08
0.7538581.7883072.835646e-08
0.7566221.7881772.895269e-08
0.7593951.7880492.955109e-08
0.7621791.7879213.015169e-08
0.7649731.7877943.075449e-08
0.7677771.7876673.135951e-08
0.7705911.7875423.196674e-08
0.7734161.7874173.257619e-08
0.7762511.7872933.318788e-08
0.7790961.787173.380181e-08
0.7819521.7870473.441799e-08
0.7848181.7869253.503643e-08
0.7876951.7868043.565714e-08
0.7905831.7866833.628012e-08
0.7934811.7865633.690539e-08
0.7963891.7864443.753295e-08
0.7993091.7863263.816281e-08
0.81.7862983.831200e-08
0.8022381.7862083.812754e-08
0.8051791.7860913.788522e-08
0.8081311.7859743.764200e-08
0.8110931.7858583.739790e-08
0.8140661.7857433.715290e-08
0.817051.7856293.690700e-08
0.8200451.7855153.666020e-08
0.8230511.7854013.641250e-08
0.8260681.7852893.616389e-08
0.8290961.7851763.591437e-08
0.8321351.7850653.566393e-08
0.8351861.7849543.541257e-08
0.8382471.7848443.516030e-08
0.841321.7847343.490709e-08
0.8444041.7846253.465296e-08
0.8474991.7845163.439790e-08
0.8506061.7844083.414191e-08
0.8537241.78433.388497e-08
0.8568531.7841933.362710e-08
0.8599941.7840873.336827e-08
0.8631461.7839813.310850e-08
0.866311.7838763.284778e-08
0.8694861.7837713.258610e-08
0.8726731.7836663.232347e-08
0.8758721.7835623.205987e-08
0.8790821.7834593.179530e-08
0.8823051.7833563.152976e-08
0.8855391.7832543.126325e-08
0.8887851.7831523.099577e-08
0.8920431.783053.072730e-08
0.8953131.7829493.045785e-08
0.8985951.7828493.018741e-08
0.9018891.7827492.991598e-08
0.9051951.7826492.964355e-08
0.9085131.782552.937013e-08
0.9118431.7824512.909570e-08
0.9151861.7823532.882027e-08
0.918541.7822552.854383e-08
0.9219071.7821582.826638e-08
0.9252871.7820612.798790e-08
0.9286781.7819642.770841e-08
0.9320831.7818682.742789e-08
0.9354991.7817722.714635e-08
0.9389281.7816762.686377e-08
0.942371.7815812.658016e-08
0.9458241.7814872.629550e-08
0.9492911.7813922.600981e-08
0.9527711.7812992.572306e-08
0.9562641.7812052.543527e-08
0.9597691.7811122.514642e-08
0.9632871.7810192.485651e-08
0.9668181.7809262.456554e-08
0.9703621.7808342.427350e-08
0.9739191.7807422.398039e-08
0.9774891.7806512.368621e-08
0.9810721.780562.339095e-08
0.9846681.7804692.309461e-08
0.9882781.7803782.279718e-08
0.9919011.7802882.249866e-08
0.9955361.7801982.219904e-08
0.9991861.7801092.189833e-08
1.002851.7800192.159651e-08
1.006521.779932.129359e-08
1.010211.7798422.098956e-08
1.013921.7797532.068442e-08
1.017631.7796652.037815e-08
1.021361.7795772.007076e-08
1.025111.7794891.976225e-08
1.028871.7794021.945261e-08
1.032641.7793151.914183e-08
1.036421.7792281.882991e-08
1.040221.7791411.851684e-08
1.044031.7790551.820263e-08
1.047861.7789691.788727e-08
1.05171.7788831.757075e-08
1.055561.7787971.725308e-08
1.059431.7787111.693423e-08
1.061.7786991.688700e-08
1.063311.7786261.693974e-08
1.067211.7785411.700184e-08
1.071121.7784561.706416e-08
1.075051.7783711.712671e-08
1.078991.7782871.718950e-08
1.082941.7782031.725251e-08
1.086911.7781191.731575e-08
1.09091.7780351.737923e-08
1.094891.7779511.744294e-08
1.098911.7778671.750688e-08
1.102941.7777841.757105e-08
1.106981.7777011.763547e-08
1.111041.7776171.770011e-08
1.115111.7775351.776500e-08
1.11921.7774521.783012e-08
1.12331.7773691.789548e-08
1.127421.7772871.796108e-08
1.131551.7772041.802692e-08
1.13571.7771221.809301e-08
1.139861.777041.815933e-08
1.144041.7769581.822590e-08
1.148231.7768761.829271e-08
1.152441.7767941.835977e-08
1.156671.7767121.842707e-08
1.160911.7766311.849462e-08
1.165161.7765491.856241e-08
1.169431.7764681.863046e-08
1.173721.7763871.869875e-08
1.178021.7763051.876730e-08
1.182341.7762241.883610e-08
1.186671.7761431.890514e-08
1.191021.7760621.897445e-08
1.195391.7759811.904400e-08
1.199771.77591.911381e-08
1.204171.7758191.918388e-08
1.208581.7757391.925420e-08
1.213011.7756581.932478e-08
1.217461.7755771.939562e-08
1.221921.7754971.946672e-08
1.22641.7754161.953808e-08
1.23091.7753351.960970e-08
1.235411.7752551.968159e-08
1.239941.7751741.975374e-08
1.244481.7750941.982615e-08
1.249041.7750131.989883e-08
1.253621.7749331.997177e-08
1.258221.7748522.004498e-08
1.262831.7747722.011846e-08
1.267461.7746912.019221e-08
1.272111.7746112.026623e-08
1.276771.774532.034052e-08
1.281451.774452.041509e-08
1.286151.7743692.048992e-08
1.290861.7742882.056503e-08
1.295591.7742082.064042e-08
1.300341.7741272.071608e-08
1.305111.7740462.079202e-08
1.309891.7739662.086824e-08
1.314691.7738852.094474e-08
1.319511.7738042.102151e-08
1.324351.7737232.109857e-08
1.32921.7736422.117592e-08
1.334081.7735612.125354e-08
1.338971.773482.133145e-08
1.343881.7733982.140965e-08
1.34881.7733172.148813e-08
1.353751.7732362.156690e-08
1.358711.7731542.164596e-08
1.363691.7730722.172531e-08
1.368691.7729912.180495e-08
1.37371.7729092.188488e-08
1.378741.7728272.196510e-08
1.383791.7727452.204562e-08
1.388871.7726632.212643e-08
1.393961.7725812.220754e-08
1.399071.7724982.228895e-08
1.40421.7724162.237065e-08
1.409341.7723332.245266e-08
1.414511.772252.253496e-08
1.419691.7721672.261757e-08
1.42491.7720842.270048e-08
1.430121.7720012.278370e-08
1.435361.7719172.286721e-08
1.440621.7718342.295104e-08
1.445911.771752.303517e-08
1.451211.7716662.311961e-08
1.456521.7715822.320436e-08
1.461861.7714982.328942e-08
1.467221.7714132.337480e-08
1.47261.7713292.346048e-08
1.4781.7712442.354648e-08
1.483421.7711592.363280e-08
1.488851.7710732.371943e-08
1.494311.7709882.380638e-08
1.499791.7709022.389365e-08
1.51.7708992.389700e-08
1.505291.7708162.687260e-08
1.51081.770732.997805e-08
1.516341.7706443.309489e-08
1.52191.7705573.622315e-08
1.527481.770473.936288e-08
1.533081.7703834.251411e-08
1.53871.7702964.567690e-08
1.544341.7702084.885128e-08
1.551.770125.203730e-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
—