Optical constants

Refractive index of K-LaSFn10 (SUMITA)

K-LaSFn10: 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
1.81549
Extinction coefficient k
4.55649e-08
Permittivity ε1
3.296
Permittivity ε2
1.65445e-07
Absorption coefficient α
0.00974448 cm⁻¹
Penetration depth δ = λ/(2πk)
2.05244e+09 nm
Abbe number Vd
44.404
Chromatic dispersion dn/dλ
-0.09413 µm⁻¹
Group index ng
1.8708
Group velocity dispersion
173.211 fs²/mm
Dispersion parameter D
-944.959 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-LaSFn10 (SUMITA): K-LaSFn10
sumita_k_lasfn10 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaSFn10", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lasfn10.range_nm)  # (360, 1550) nm
eps = sumita_k_lasfn10.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=3.2128137−0.015587464⁢λ2.0+0.028249299⁢λ−2.0+0.00086439607⁢λ−4.0−2.9175496×10-5⁢λ−6.0+2.9912535×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.2128137
C2-0.015587464
C32.0
C40.028249299
C5-2.0
C60.00086439607
C7-4.0
C8-2.9175496e-05
C9-6.0
C102.9912535e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.02e-06 1.34e-08 -1.66e-10 6.41e-07 6.88e-10 0.194
nd
1.81550
Vd
44.4
glass code
816444
density
value: 4800
thermal expansion
value: 5.6e-06, temperature range: 243 343; value: 7.2e-06, temperature range: 293 573
dPgF
-0.0105
resistance
acid: 2.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.01e-06 K⁻¹ at 633 nm, dn/dT = 2.09e-06 K⁻¹ at 1310 nm, dn/dT = 2.02e-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 416 wavelengths, the same grid as the API and the library
K-LaSFn10 (SUMITA), K-LaSFn10: n and k versus wavelength
λ (µm)nk
0.361.8647871.305500e-06
0.361321.8641521.220411e-06
0.3626441.8635241.135010e-06
0.3639731.8629021.049296e-06
0.3653081.8622879.632673e-07
0.3666471.8616778.769236e-07
0.3679911.8610747.902634e-07
0.369341.8604777.032856e-07
0.371.8601876.607000e-07
0.3706931.8598856.426464e-07
0.3720521.85936.072682e-07
0.3734161.858725.717603e-07
0.3747851.8581465.361222e-07
0.3761591.8575785.003535e-07
0.3775371.8570154.644537e-07
0.3789211.8564574.284223e-07
0.381.8560284.003400e-07
0.380311.8559053.957370e-07
0.3817041.8553593.750629e-07
0.3831041.8548173.543130e-07
0.3845081.8542813.334871e-07
0.3859171.853753.125849e-07
0.3873321.8532242.916060e-07
0.3887521.8527032.705502e-07
0.391.8522512.520400e-07
0.3901771.8521872.510659e-07
0.3916071.8516762.431881e-07
0.3930431.851172.352815e-07
0.3944831.8506682.273459e-07
0.3959291.8501712.193812e-07
0.3973811.8496792.113873e-07
0.3988371.8491912.033641e-07
0.41.8488061.969600e-07
0.4002991.8487081.958463e-07
0.4017671.8482291.903863e-07
0.4032391.8477551.849063e-07
0.4047171.8472851.794063e-07
0.4062011.8468191.738860e-07
0.407691.8463581.683455e-07
0.4091841.8459011.627847e-07
0.4106841.8454481.572036e-07
0.412191.8449991.516019e-07
0.4137011.8445541.459798e-07
0.4152171.8441131.403370e-07
0.4167391.8436761.346735e-07
0.4182671.8432441.289893e-07
0.41981.8428151.232843e-07
0.421.8427591.225400e-07
0.4213391.8423891.212347e-07
0.4228831.8419681.197288e-07
0.4244331.841551.182174e-07
0.4259891.8411361.167005e-07
0.4275511.8407261.151780e-07
0.4291181.8403191.136500e-07
0.4306911.8399161.121163e-07
0.432271.8395161.105771e-07
0.4338541.839121.090321e-07
0.4354451.8387281.074816e-07
0.4370411.8383391.059253e-07
0.4386431.8379531.043633e-07
0.441.837631.030400e-07
0.4402511.837571.029101e-07
0.4418641.8371911.020739e-07
0.4434841.8368151.012347e-07
0.445111.8364431.003924e-07
0.4467411.8360739.954695e-08
0.4483791.8357079.869844e-08
0.4500231.8353449.784681e-08
0.4516721.8349849.699207e-08
0.4533281.8346279.613419e-08
0.454991.8342739.527317e-08
0.4566571.8339229.440899e-08
0.4583311.8335749.354164e-08
0.461.8332319.267700e-08
0.4600111.8332299.266598e-08
0.4616981.8328879.103000e-08
0.463391.8325488.938803e-08
0.4650891.8322118.774004e-08
0.4667931.8318788.608601e-08
0.4685051.8315478.442592e-08
0.4702221.8312198.275974e-08
0.4719461.8308948.108745e-08
0.4736751.8305717.940903e-08
0.4754121.8302517.772446e-08
0.4771541.8299347.603372e-08
0.4789041.8296197.433677e-08
0.481.8294247.327300e-08
0.4806591.8293077.284008e-08
0.4824211.8289987.168269e-08
0.4841891.8286917.052104e-08
0.4859641.8283866.935514e-08
0.4877461.8280846.818497e-08
0.4895331.8277856.701051e-08
0.4913281.8274886.583174e-08
0.4931291.8271936.464865e-08
0.4949361.8269016.346122e-08
0.4967511.8266116.226945e-08
0.4985721.8263246.107330e-08
0.51.82616.013500e-08
0.5003991.8260386.007675e-08
0.5022331.8257565.980909e-08
0.5040741.8254755.954045e-08
0.5059221.8251975.927083e-08
0.5077771.824925.900022e-08
0.5096381.8246465.872862e-08
0.5115061.8243755.845602e-08
0.5133811.8241055.818242e-08
0.5152631.8238385.790782e-08
0.5171521.8235725.763221e-08
0.5190471.8233095.735560e-08
0.520951.8230485.707796e-08
0.522861.8227895.679932e-08
0.5247761.8225325.651964e-08
0.52671.8222765.623895e-08
0.5286311.8220235.595722e-08
0.5305681.8217725.567447e-08
0.5325131.8215235.539067e-08
0.5344651.8212765.510584e-08
0.5364241.8210315.481996e-08
0.5383911.8207875.453303e-08
0.5403641.8205465.424506e-08
0.5423451.8203065.395602e-08
0.5443331.8200685.366593e-08
0.5463281.8198325.337477e-08
0.5483311.8195985.308255e-08
0.551.8194055.283900e-08
0.5503411.8193665.277305e-08
0.5523581.8191355.238277e-08
0.5543831.8189065.199107e-08
0.5564151.8186795.159793e-08
0.5584551.8184545.120335e-08
0.5605021.818235.080732e-08
0.5625561.8180085.040984e-08
0.5646191.8177885.001090e-08
0.5666881.8175694.961050e-08
0.5687651.8173524.920864e-08
0.570851.8171374.880530e-08
0.5729431.8169234.840048e-08
0.5750431.8167114.799418e-08
0.5771511.81654.758639e-08
0.5792671.8162914.717710e-08
0.581391.8160834.676631e-08
0.5835211.8158774.635402e-08
0.585661.8156734.594022e-08
0.5878071.815474.552489e-08
0.5899611.8152684.510805e-08
0.5921241.8150684.468968e-08
0.5942951.814874.426978e-08
0.5964731.8146734.384833e-08
0.5986591.8144774.342534e-08
0.61.8143584.316600e-08
0.6008541.8142834.287161e-08
0.6030561.814094.211228e-08
0.6052671.8138984.135016e-08
0.6074861.8137084.058525e-08
0.6097121.8135193.981753e-08
0.6119471.8133323.904700e-08
0.6141911.8131463.827365e-08
0.6164421.8129613.749746e-08
0.6187021.8127783.671843e-08
0.620971.8125963.593654e-08
0.6232461.8124153.515179e-08
0.625531.8122353.436416e-08
0.6278231.8120573.357364e-08
0.6301251.811883.278022e-08
0.6324341.8117043.198390e-08
0.6347531.8115293.118465e-08
0.6370791.8113563.038248e-08
0.6394151.8111842.957737e-08
0.6417591.8110132.876930e-08
0.6441111.8108432.795827e-08
0.6464721.8106742.714427e-08
0.6488421.8105072.632729e-08
0.651.8104252.592800e-08
0.651221.810342.570367e-08
0.6536071.8101752.526482e-08
0.6560031.8100112.482437e-08
0.6584081.8098482.438229e-08
0.6608211.8096862.393860e-08
0.6632441.8095252.349328e-08
0.6656751.8093652.304633e-08
0.6681151.8092062.259774e-08
0.6705641.8090482.214751e-08
0.6730221.8088922.169562e-08
0.6754891.8087362.124208e-08
0.6779651.8085822.078688e-08
0.680451.8084282.033001e-08
0.6829451.8082751.987146e-08
0.6854481.8081241.941124e-08
0.6879611.8079731.894932e-08
0.6904821.8078231.848571e-08
0.6930131.8076751.802041e-08
0.6955541.8075271.755339e-08
0.6981031.807381.708467e-08
0.71.8072721.673600e-08
0.7006621.8072341.670956e-08
0.7032311.8070891.660706e-08
0.7058091.8069451.650418e-08
0.7083961.8068021.640093e-08
0.7109921.806661.629729e-08
0.7135991.8065181.619328e-08
0.7162141.8063781.608888e-08
0.718841.8062381.598410e-08
0.7214751.8060991.587894e-08
0.7241191.8059611.577339e-08
0.7267741.8058241.566746e-08
0.7294381.8056881.556113e-08
0.7321121.8055521.545442e-08
0.7347951.8054181.534732e-08
0.7374891.8052841.523982e-08
0.7401921.8051511.513193e-08
0.7429051.8050191.502364e-08
0.7456291.8048871.491496e-08
0.7483621.8047561.480588e-08
0.7511051.8046261.469640e-08
0.7538581.8044971.458652e-08
0.7566221.8043691.447623e-08
0.7593951.8042411.436554e-08
0.7621791.8041141.425445e-08
0.7649731.8039871.414294e-08
0.7677771.8038621.403103e-08
0.7705911.8037371.391871e-08
0.7734161.8036131.380598e-08
0.7762511.8034891.369283e-08
0.7790961.8033661.357927e-08
0.7819521.8032441.346529e-08
0.7848181.8031231.335089e-08
0.7876951.8030021.323608e-08
0.7905831.8028811.312084e-08
0.7934811.8027621.300519e-08
0.7963891.8026431.288910e-08
0.7993091.8025251.277260e-08
0.81.8024971.274500e-08
0.8022381.8024071.477250e-08
0.8051791.802291.743604e-08
0.8081311.8021732.010934e-08
0.8110931.8020572.279244e-08
0.8140661.8019422.548537e-08
0.817051.8018272.818818e-08
0.8200451.8017133.090089e-08
0.8230511.8015993.362355e-08
0.8260681.8014863.635619e-08
0.8290961.8013743.909884e-08
0.8321351.8012624.185155e-08
0.8351861.801154.461434e-08
0.8382471.801044.738727e-08
0.841321.8009295.017036e-08
0.8444041.8008195.296365e-08
0.8474991.800715.576718e-08
0.8506061.8006015.858099e-08
0.8537241.8004936.140511e-08
0.8568531.8003856.423958e-08
0.8599941.8002786.708445e-08
0.8631461.8001716.993974e-08
0.866311.8000647.280550e-08
0.8694861.7999587.568176e-08
0.8726731.7998537.856857e-08
0.8758721.7997488.146596e-08
0.8790821.7996438.437396e-08
0.8823051.7995398.729263e-08
0.8855391.7994359.022200e-08
0.8887851.7993329.316211e-08
0.8920431.7992299.611299e-08
0.8953131.7991279.907469e-08
0.8985951.7990251.020472e-07
0.9018891.7989231.050307e-07
0.9051951.7988221.080251e-07
0.9085131.7987211.110304e-07
0.9118431.798621.140468e-07
0.9151861.798521.170743e-07
0.918541.798421.201128e-07
0.9219071.7983211.231625e-07
0.9252871.7982221.262233e-07
0.9286781.7981231.292954e-07
0.9320831.7980251.323787e-07
0.9354991.7979271.354734e-07
0.9389281.7978291.385793e-07
0.942371.7977321.416967e-07
0.9458241.7976351.448255e-07
0.9492911.7975381.479658e-07
0.9527711.7974421.511175e-07
0.9562641.7973461.542809e-07
0.9597691.797251.574558e-07
0.9632871.7971551.606423e-07
0.9668181.7970591.638406e-07
0.9703621.7969651.670505e-07
0.9739191.796871.702723e-07
0.9774891.7967761.735058e-07
0.9810721.7966811.767512e-07
0.9846681.7965881.800085e-07
0.9882781.7964941.832777e-07
0.9919011.7964011.865589e-07
0.9955361.7963081.898522e-07
0.9991861.7962151.931575e-07
1.002851.7961221.964749e-07
1.006521.796031.998045e-07
1.010211.7959382.031463e-07
1.013921.7958462.065003e-07
1.017631.7957542.098667e-07
1.021361.7956632.132453e-07
1.025111.7955712.166364e-07
1.028871.795482.200399e-07
1.032641.7953892.234559e-07
1.036421.7952982.268844e-07
1.040221.7952082.303254e-07
1.044031.7951182.337791e-07
1.047861.7950272.372454e-07
1.05171.7949372.407244e-07
1.055561.7948472.442162e-07
1.059431.7947582.477208e-07
1.061.7947442.482400e-07
1.063311.7946682.490152e-07
1.067211.7945792.499280e-07
1.071121.7944892.508441e-07
1.075051.79442.517636e-07
1.078991.7943112.526864e-07
1.082941.7942222.536126e-07
1.086911.7941332.545422e-07
1.09091.7940452.554753e-07
1.094891.7939562.564117e-07
1.098911.7938682.573516e-07
1.102941.7937792.582949e-07
1.106981.7936912.592417e-07
1.111041.7936032.601920e-07
1.115111.7935152.611457e-07
1.11921.7934262.621029e-07
1.12331.7933392.630637e-07
1.127421.7932512.640279e-07
1.131551.7931632.649957e-07
1.13571.7930752.659671e-07
1.139861.7929872.669420e-07
1.144041.79292.679205e-07
1.148231.7928122.689025e-07
1.152441.7927242.698882e-07
1.156671.7926372.708775e-07
1.160911.7925492.718704e-07
1.165161.7924622.728669e-07
1.169431.7923742.738671e-07
1.173721.7922872.748710e-07
1.178021.7921992.758785e-07
1.182341.7921122.768898e-07
1.186671.7920242.779047e-07
1.191021.7919372.789234e-07
1.195391.7918492.799458e-07
1.199771.7917622.809719e-07
1.204171.7916742.820018e-07
1.208581.7915862.830355e-07
1.213011.7914992.840730e-07
1.217461.7914112.851143e-07
1.221921.7913232.861594e-07
1.22641.7912362.872083e-07
1.23091.7911482.882610e-07
1.235411.791062.893177e-07
1.239941.7909722.903782e-07
1.244481.7908842.914426e-07
1.249041.7907962.925108e-07
1.253621.7907082.935831e-07
1.258221.790622.946592e-07
1.262831.7905312.957393e-07
1.267461.7904432.968233e-07
1.272111.7903552.979113e-07
1.276771.7902662.990033e-07
1.281451.7901773.000993e-07
1.286151.7900883.011994e-07
1.290861.793.023034e-07
1.295591.7899113.034115e-07
1.300341.7898213.045237e-07
1.305111.7897323.056399e-07
1.309891.7896433.067602e-07
1.314691.7895533.078847e-07
1.319511.7894633.090132e-07
1.324351.7893733.101459e-07
1.32921.7892833.112828e-07
1.334081.7891933.124238e-07
1.338971.7891033.135690e-07
1.343881.7890123.147184e-07
1.34881.7889223.158720e-07
1.353751.7888313.170298e-07
1.358711.788743.181919e-07
1.363691.7886483.193583e-07
1.368691.7885573.205289e-07
1.37371.7884653.217038e-07
1.378741.7883733.228830e-07
1.383791.7882813.240665e-07
1.388871.7881893.252544e-07
1.393961.7880963.264467e-07
1.399071.7880043.276433e-07
1.40421.7879113.288442e-07
1.409341.7878173.300496e-07
1.414511.7877243.312594e-07
1.419691.787633.324737e-07
1.42491.7875363.336924e-07
1.430121.7874423.349155e-07
1.435361.7873483.361432e-07
1.440621.7872533.373753e-07
1.445911.7871583.386120e-07
1.451211.7870623.398532e-07
1.456521.7869673.410989e-07
1.461861.7868713.423492e-07
1.467221.7867753.436041e-07
1.47261.7866783.448636e-07
1.4781.7865823.461277e-07
1.483421.7864843.473965e-07
1.488851.7863873.486699e-07
1.494311.7862893.499479e-07
1.499791.7861913.512307e-07
1.51.7861873.512800e-07
1.505291.7860933.599595e-07
1.51081.7859943.690177e-07
1.516341.7858953.781092e-07
1.52191.7857963.872339e-07
1.527481.7856963.963922e-07
1.533081.7855964.055840e-07
1.53871.7854954.148095e-07
1.544341.7853944.240688e-07
1.551.7852934.333620e-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
—