Optical constants

Refractive index of K-LaFn3 (SUMITA)

K-LaFn3: 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
1.70001
Extinction coefficient k
2.67161e-08
Permittivity ε1
2.89002
Permittivity ε2
9.08349e-08
Absorption coefficient α
0.00571348 cm⁻¹
Penetration depth δ = λ/(2πk)
3.50050e+09 nm
Abbe number Vd
48.01
Chromatic dispersion dn/dλ
-0.0747052 µm⁻¹
Group index ng
1.7439
Group velocity dispersion
138.201 fs²/mm
Dispersion parameter D
-753.96 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-LaFn3 (SUMITA): K-LaFn3
sumita_k_lafn3 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaFn3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lafn3.range_nm)  # (360, 1550) nm
eps = sumita_k_lafn3.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=2.827081−0.010220727⁢λ2.0+0.021224097⁢λ−2.0+0.0006653956⁢λ−4.0−3.3316539×10-5⁢λ−6.0+3.16429×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.827081
C2-0.010220727
C32.0
C40.021224097
C5-2.0
C60.0006653956
C7-4.0
C8-3.3316539e-05
C9-6.0
C103.16429e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -3.22e-06 1.12e-08 -3.14e-10 6.46e-07 6.47e-10 0.204
nd
1.70000
Vd
48.0
glass code
700480
density
value: 4019
thermal expansion
value: 7.3e-06, temperature range: 243 343; value: 9.6e-06, temperature range: 293 573
dPgF
-0.0034
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -7.87e-07 K⁻¹ at 633 nm, dn/dT = -1.54e-06 K⁻¹ at 1310 nm, dn/dT = -1.59e-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-LaFn3 (SUMITA), K-LaFn3: n and k versus wavelength
λ (µm)nk
0.361.7392679.133800e-07
0.361321.7387588.505476e-07
0.3626441.7382547.874848e-07
0.3639731.7377567.241909e-07
0.3653081.7372626.606649e-07
0.3666471.7367745.969061e-07
0.3679911.7362915.329136e-07
0.369341.7358134.686865e-07
0.371.7355814.372400e-07
0.3706931.735344.223636e-07
0.3720521.7348713.932115e-07
0.3734161.7344083.639525e-07
0.3747851.7339493.345863e-07
0.3761591.7334943.051124e-07
0.3775371.7330442.755305e-07
0.3789211.7325992.458402e-07
0.381.7322562.227000e-07
0.380311.7321582.200217e-07
0.3817041.7317212.079922e-07
0.3831041.7312891.959187e-07
0.3845081.7308611.838009e-07
0.3859171.7304371.716387e-07
0.3873321.7300171.594319e-07
0.3887521.7296011.471804e-07
0.391.7292411.364100e-07
0.3901771.729191.356542e-07
0.3916071.7287821.295421e-07
0.3930431.7283781.234076e-07
0.3944831.7279781.172505e-07
0.3959291.7275821.110710e-07
0.3973811.727191.048687e-07
0.3988371.7268019.864376e-08
0.41.7264949.367500e-08
0.4002991.7264169.323263e-08
0.4017671.7260349.106382e-08
0.4032391.7256578.888707e-08
0.4047171.7252828.670233e-08
0.4062011.7249118.450959e-08
0.407691.7245448.230881e-08
0.4091841.724188.009996e-08
0.4106841.7238197.788301e-08
0.412191.7234627.565794e-08
0.4137011.7231087.342471e-08
0.4152171.7227577.118330e-08
0.4167391.7224096.893367e-08
0.4182671.7220656.667579e-08
0.41981.7217236.440964e-08
0.421.7216796.411400e-08
0.4213391.7213856.360271e-08
0.4228831.7210496.301288e-08
0.4244331.7207176.242088e-08
0.4259891.7203886.182672e-08
0.4275511.7200616.123038e-08
0.4291181.7197386.063185e-08
0.4306911.7194176.003113e-08
0.432271.7190995.942821e-08
0.4338541.7187845.882307e-08
0.4354451.7184725.821572e-08
0.4370411.7181625.760614e-08
0.4386431.7178565.699433e-08
0.441.7175995.647600e-08
0.4402511.7175515.646156e-08
0.4418641.717255.636861e-08
0.4434841.7169515.627531e-08
0.445111.7166555.618168e-08
0.4467411.7163615.608770e-08
0.4483791.716075.599337e-08
0.4500231.7157815.589870e-08
0.4516721.7154955.580368e-08
0.4533281.7152115.570832e-08
0.454991.714935.561260e-08
0.4566571.7146515.551654e-08
0.4583311.7143745.542012e-08
0.461.7141025.532400e-08
0.4600111.71415.531877e-08
0.4616981.7138285.454226e-08
0.463391.7135585.376291e-08
0.4650891.7132915.298070e-08
0.4667931.7130265.219562e-08
0.4685051.7127635.140767e-08
0.4702221.7125025.061683e-08
0.4719461.7122434.982308e-08
0.4736751.7119874.902643e-08
0.4754121.7117334.822686e-08
0.4771541.711484.742436e-08
0.4789041.711234.661891e-08
0.481.7110754.611400e-08
0.4806591.7109824.577981e-08
0.4824211.7107364.488634e-08
0.4841891.7104924.398960e-08
0.4859641.7102514.308957e-08
0.4877461.7100114.218625e-08
0.4895331.7097734.127961e-08
0.4913281.7095374.036965e-08
0.4931291.7093023.945635e-08
0.4949361.709073.853971e-08
0.4967511.708843.761970e-08
0.4985721.7086113.669633e-08
0.51.7084343.597200e-08
0.5003991.7083853.596548e-08
0.5022331.708163.593551e-08
0.5040741.7079373.590542e-08
0.5059221.7077163.587523e-08
0.5077771.7074963.584493e-08
0.5096381.7072783.581451e-08
0.5115061.7070623.578399e-08
0.5133811.7068483.575335e-08
0.5152631.7066363.572260e-08
0.5171521.7064253.569174e-08
0.5190471.7062163.566076e-08
0.520951.7060083.562968e-08
0.522861.7058023.559847e-08
0.5247761.7055983.556716e-08
0.52671.7053953.553572e-08
0.5286311.7051943.550418e-08
0.5305681.7049953.547251e-08
0.5325131.7047973.544073e-08
0.5344651.70463.540884e-08
0.5364241.7044053.537683e-08
0.5383911.7042123.534470e-08
0.5403641.704023.531245e-08
0.5423451.703833.528008e-08
0.5443331.7036413.524760e-08
0.5463281.7034533.521500e-08
0.5483311.7032673.518227e-08
0.551.7031143.515500e-08
0.5503411.7030833.507849e-08
0.5523581.70293.462572e-08
0.5543831.7027183.417129e-08
0.5564151.7025383.371519e-08
0.5584551.7023593.325742e-08
0.5605021.7021813.279797e-08
0.5625561.7020053.233684e-08
0.5646191.701833.187402e-08
0.5666881.7016563.140950e-08
0.5687651.7014843.094328e-08
0.570851.7013133.047535e-08
0.5729431.7011433.000571e-08
0.5750431.7009742.953434e-08
0.5771511.7008072.906125e-08
0.5792671.7006412.858642e-08
0.581391.7004772.810985e-08
0.5835211.7003132.763154e-08
0.585661.7001512.715147e-08
0.5878071.699992.666964e-08
0.5899611.699832.618605e-08
0.5921241.6996712.570068e-08
0.5942951.6995132.521353e-08
0.5964731.6993572.472460e-08
0.5986591.6992022.423387e-08
0.61.6991072.393300e-08
0.6008541.6990482.396707e-08
0.6030561.6988952.405495e-08
0.6052671.6987432.414315e-08
0.6074861.6985922.423168e-08
0.6097121.6984422.432053e-08
0.6119471.6982942.440970e-08
0.6141911.6981462.449920e-08
0.6164421.6982.458903e-08
0.6187021.6978542.467919e-08
0.620971.697712.476968e-08
0.6232461.6975662.486051e-08
0.625531.6974242.495166e-08
0.6278231.6972832.504315e-08
0.6301251.6971422.513497e-08
0.6324341.6970032.522713e-08
0.6347531.6968652.531963e-08
0.6370791.6967272.541247e-08
0.6394151.6965912.550565e-08
0.6417591.6964552.559917e-08
0.6441111.6963212.569303e-08
0.6464721.6961872.578724e-08
0.6488421.6960542.588179e-08
0.651.695992.592800e-08
0.651221.6959232.556740e-08
0.6536071.6957922.486195e-08
0.6560031.6956622.415392e-08
0.6584081.6955332.344330e-08
0.6608211.6954052.273007e-08
0.6632441.6952772.201423e-08
0.6656751.6951512.129576e-08
0.6681151.6950252.057466e-08
0.6705641.6949011.985092e-08
0.6730221.6947771.912452e-08
0.6754891.6946541.839546e-08
0.6779651.6945311.766373e-08
0.680451.694411.692932e-08
0.6829451.6942891.619221e-08
0.6854481.6941691.545240e-08
0.6879611.694051.470988e-08
0.6904821.6939321.396464e-08
0.6930131.6938151.321666e-08
0.6955541.6936981.246595e-08
0.6981031.6935821.171248e-08
0.71.6934961.115200e-08
0.7006621.6934671.116255e-08
0.7032311.6933521.120347e-08
0.7058091.6932391.124453e-08
0.7083961.6931261.128574e-08
0.7109921.6930131.132711e-08
0.7135991.6929021.136863e-08
0.7162141.6927911.141030e-08
0.718841.6926811.145212e-08
0.7214751.6925711.149409e-08
0.7241191.6924631.153622e-08
0.7267741.6923551.157851e-08
0.7294381.6922471.162095e-08
0.7321121.692141.166354e-08
0.7347951.6920341.170629e-08
0.7374891.6919291.174920e-08
0.7401921.6918241.179226e-08
0.7429051.691721.183548e-08
0.7456291.6916161.187886e-08
0.7483621.6915141.192240e-08
0.7511051.6914111.196610e-08
0.7538581.691311.200996e-08
0.7566221.6912091.205398e-08
0.7593951.6911081.209816e-08
0.7621791.6910081.214251e-08
0.7649731.6909091.218701e-08
0.7677771.690811.223168e-08
0.7705911.6907121.227652e-08
0.7734161.6906151.232151e-08
0.7762511.6905181.236668e-08
0.7790961.6904211.241200e-08
0.7819521.6903251.245750e-08
0.7848181.690231.250316e-08
0.7876951.6901351.254899e-08
0.7905831.6900411.259498e-08
0.7934811.6899471.264115e-08
0.7963891.6898541.268748e-08
0.7993091.6897611.273398e-08
0.81.6897391.274500e-08
0.8022381.6896691.278066e-08
0.8051791.6895771.282751e-08
0.8081311.6894861.287453e-08
0.8110931.6893951.292172e-08
0.8140661.6893051.296908e-08
0.817051.6892151.301662e-08
0.8200451.6891261.306433e-08
0.8230511.6890371.311222e-08
0.8260681.6889491.316028e-08
0.8290961.6888611.320852e-08
0.8321351.6887731.325694e-08
0.8351861.6886861.330553e-08
0.8382471.68861.335431e-08
0.841321.6885141.340326e-08
0.8444041.6884281.345239e-08
0.8474991.6883431.350169e-08
0.8506061.6882581.355119e-08
0.8537241.6881731.360086e-08
0.8568531.6880891.365071e-08
0.8599941.6880061.370075e-08
0.8631461.6879231.375097e-08
0.866311.687841.380137e-08
0.8694861.6877571.385196e-08
0.8726731.6876751.390274e-08
0.8758721.6875941.395370e-08
0.8790821.6875121.400484e-08
0.8823051.6874311.405618e-08
0.8855391.6873511.410770e-08
0.8887851.6872711.415941e-08
0.8920431.6871911.421132e-08
0.8953131.6871111.426341e-08
0.8985951.6870321.431569e-08
0.9018891.6869531.436817e-08
0.9051951.6868751.442083e-08
0.9085131.6867971.447369e-08
0.9118431.6867191.452675e-08
0.9151861.6866411.457999e-08
0.918541.6865641.463344e-08
0.9219071.6864871.468708e-08
0.9252871.6864111.474091e-08
0.9286781.6863341.479494e-08
0.9320831.6862581.484918e-08
0.9354991.6861831.490361e-08
0.9389281.6861071.495824e-08
0.942371.6860321.501307e-08
0.9458241.6859571.506810e-08
0.9492911.6858831.512333e-08
0.9527711.6858091.517876e-08
0.9562641.6857351.523440e-08
0.9597691.6856611.529024e-08
0.9632871.6855871.534629e-08
0.9668181.6855141.540254e-08
0.9703621.6854411.545900e-08
0.9739191.6853681.551567e-08
0.9774891.6852961.557254e-08
0.9810721.6852241.562962e-08
0.9846681.6851521.568691e-08
0.9882781.685081.574441e-08
0.9919011.6850081.580212e-08
0.9955361.6849371.586005e-08
0.9991861.6848661.591818e-08
1.002851.6847951.597653e-08
1.006521.6847241.603509e-08
1.010211.6846541.609387e-08
1.013921.6845831.615286e-08
1.017631.6845131.621207e-08
1.021361.6844431.627150e-08
1.025111.6843741.633114e-08
1.028871.6843041.639100e-08
1.032641.6842351.645108e-08
1.036421.6841651.651139e-08
1.040221.6840961.657191e-08
1.044031.6840271.663265e-08
1.047861.6839591.669362e-08
1.05171.683891.675481e-08
1.055561.6838221.681623e-08
1.059431.6837541.687787e-08
1.061.6837431.688700e-08
1.063311.6836851.693974e-08
1.067211.6836171.700184e-08
1.071121.683551.706416e-08
1.075051.6834821.712671e-08
1.078991.6834141.718950e-08
1.082941.6833471.725251e-08
1.086911.683281.731575e-08
1.09091.6832121.737923e-08
1.094891.6831451.744294e-08
1.098911.6830781.750688e-08
1.102941.6830111.757105e-08
1.106981.6829451.763547e-08
1.111041.6828781.770011e-08
1.115111.6828121.776500e-08
1.11921.6827451.783012e-08
1.12331.6826791.789548e-08
1.127421.6826121.796108e-08
1.131551.6825461.802692e-08
1.13571.682481.809301e-08
1.139861.6824141.815933e-08
1.144041.6823481.822590e-08
1.148231.6822821.829271e-08
1.152441.6822161.835977e-08
1.156671.682151.842707e-08
1.160911.6820851.849462e-08
1.165161.6820191.856241e-08
1.169431.6819531.863046e-08
1.173721.6818881.869875e-08
1.178021.6818221.876730e-08
1.182341.6817561.883610e-08
1.186671.6816911.890514e-08
1.191021.6816251.897445e-08
1.195391.681561.904400e-08
1.199771.6814951.911381e-08
1.204171.6814291.918388e-08
1.208581.6813641.925420e-08
1.213011.6812981.932478e-08
1.217461.6812331.939562e-08
1.221921.6811681.946672e-08
1.22641.6811021.953808e-08
1.23091.6810371.960970e-08
1.235411.6809711.968159e-08
1.239941.6809061.975374e-08
1.244481.6808411.982615e-08
1.249041.6807751.989883e-08
1.253621.680711.997177e-08
1.258221.6806442.004498e-08
1.262831.6805792.011846e-08
1.267461.6805132.019221e-08
1.272111.6804472.026623e-08
1.276771.6803822.034052e-08
1.281451.6803162.041509e-08
1.286151.680252.048992e-08
1.290861.6801842.056503e-08
1.295591.6801192.064042e-08
1.300341.6800532.071608e-08
1.305111.6799872.079202e-08
1.309891.6799212.086824e-08
1.314691.6798552.094474e-08
1.319511.6797882.102151e-08
1.324351.6797222.109857e-08
1.32921.6796562.117592e-08
1.334081.6795892.125354e-08
1.338971.6795232.133145e-08
1.343881.6794562.140965e-08
1.34881.6793892.148813e-08
1.353751.6793232.156690e-08
1.358711.6792562.164596e-08
1.363691.6791892.172531e-08
1.368691.6791222.180495e-08
1.37371.6790542.188488e-08
1.378741.6789872.196510e-08
1.383791.6789192.204562e-08
1.388871.6788522.212643e-08
1.393961.6787842.220754e-08
1.399071.6787162.228895e-08
1.40421.6786482.237065e-08
1.409341.678582.245266e-08
1.414511.6785122.253496e-08
1.419691.6784432.261757e-08
1.42491.6783742.270048e-08
1.430121.6783062.278370e-08
1.435361.6782372.286721e-08
1.440621.6781682.295104e-08
1.445911.6780982.303517e-08
1.451211.6780292.311961e-08
1.456521.6779592.320436e-08
1.461861.6778892.328942e-08
1.467221.6778192.337480e-08
1.47261.6777492.346048e-08
1.4781.6776792.354648e-08
1.483421.6776082.363280e-08
1.488851.6775372.371943e-08
1.494311.6774672.380638e-08
1.499791.6773952.389365e-08
1.51.6773932.389700e-08
1.505291.6773242.687260e-08
1.51081.6772522.997805e-08
1.516341.6771813.309489e-08
1.52191.6771083.622315e-08
1.527481.6770363.936288e-08
1.533081.6769644.251411e-08
1.53871.6768914.567690e-08
1.544341.6768184.885128e-08
1.551.6767455.203730e-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
—