Optical constants

Refractive index of K-LaFn5 (SUMITA)

K-LaFn5: 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
1.74299
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.03802
Permittivity ε2
3.26335e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
49.23
Chromatic dispersion dn/dλ
-0.0775616 µm⁻¹
Group index ng
1.78857
Group velocity dispersion
140.135 fs²/mm
Dispersion parameter D
-764.509 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-LaFn5 (SUMITA): K-LaFn5
sumita_k_lafn5 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaFn5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lafn5.range_nm)  # (360, 1550) nm
eps = sumita_k_lafn5.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=2.9746618−0.015490396⁢λ2.0+0.021676376⁢λ−2.0+0.0007907947⁢λ−4.0−3.5069226×10-5⁢λ−6.0+2.1235401×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.9746618
C2-0.015490396
C32.0
C40.021676376
C5-2.0
C60.0007907947
C7-4.0
C8-3.5069226e-05
C9-6.0
C102.1235401e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.26e-06 2.18e-08 -2.34e-10 5.21e-07 6.65e-10 0.203
nd
1.74300
Vd
49.2
glass code
743492
density
value: 4050
thermal expansion
value: 5.1e-06, temperature range: 243 343; value: 7.1e-06, temperature range: 293 573
dPgF
-0.0084
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.16e-06 K⁻¹ at 633 nm, dn/dT = 1.46e-06 K⁻¹ at 1310 nm, dn/dT = 1.41e-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-LaFn5 (SUMITA), K-LaFn5: n and k versus wavelength
λ (µm)nk
0.361.7828099.690800e-07
0.361321.7823089.098686e-07
0.3626441.7818128.504401e-07
0.3639731.7813217.907938e-07
0.3653081.7808347.309289e-07
0.3666471.7803526.708445e-07
0.3679911.7798746.105399e-07
0.369341.7794015.500142e-07
0.371.7791715.203800e-07
0.3706931.7789325.054585e-07
0.3720521.7784674.762181e-07
0.3734161.7780074.468705e-07
0.3747851.7775514.174153e-07
0.3761591.7770993.878521e-07
0.3775371.7766523.581806e-07
0.3789211.7762083.284003e-07
0.381.7758663.051900e-07
0.380311.7757683.015753e-07
0.3817041.7753332.853399e-07
0.3831041.7749012.690450e-07
0.3845081.7744742.526904e-07
0.3859171.774052.362759e-07
0.3873321.773632.198012e-07
0.3887521.7732132.032661e-07
0.391.7728521.887300e-07
0.3901771.7728011.878077e-07
0.3916071.7723921.803490e-07
0.3930431.7719871.728630e-07
0.3944831.7715851.653495e-07
0.3959291.7711871.578085e-07
0.3973811.7707931.502398e-07
0.3988371.7704021.426434e-07
0.41.7700931.365800e-07
0.4002991.7700141.356487e-07
0.4017671.769631.310831e-07
0.4032391.7692491.265007e-07
0.4047171.7688721.219016e-07
0.4062011.7684981.172855e-07
0.407691.7681271.126526e-07
0.4091841.7677591.080027e-07
0.4106841.7673941.033357e-07
0.412191.7670339.865159e-08
0.4137011.7666759.395034e-08
0.4152171.766328.923185e-08
0.4167391.7659688.449606e-08
0.4182671.7656197.974292e-08
0.41981.7652737.497235e-08
0.421.7652287.435000e-08
0.4213391.764937.267756e-08
0.4228831.7645897.074821e-08
0.4244331.7642526.881180e-08
0.4259891.7639186.686828e-08
0.4275511.7635866.491764e-08
0.4291181.7632576.295985e-08
0.4306911.7629316.099488e-08
0.432271.7626085.902271e-08
0.4338541.7622885.704331e-08
0.4354451.761975.505665e-08
0.4370411.7616555.306271e-08
0.4386431.7613425.106147e-08
0.441.7610814.936600e-08
0.4402511.7610334.920839e-08
0.4418641.7607254.819364e-08
0.4434841.7604214.717517e-08
0.445111.7601184.615296e-08
0.4467411.7598194.512701e-08
0.4483791.7595224.409730e-08
0.4500231.7592274.306382e-08
0.4516721.7589354.202654e-08
0.4533281.7586454.098547e-08
0.454991.7583573.994057e-08
0.4566571.7580723.889185e-08
0.4583311.7577893.783928e-08
0.461.7575113.679000e-08
0.4600111.7575093.678216e-08
0.4616981.7572313.561841e-08
0.463391.7569553.445040e-08
0.4650891.7566813.327810e-08
0.4667931.756413.210151e-08
0.4685051.756143.092061e-08
0.4702221.7558732.973537e-08
0.4719461.7556082.854579e-08
0.4736751.7553462.735185e-08
0.4754121.7550852.615354e-08
0.4771541.7548272.495083e-08
0.4789041.754572.374371e-08
0.481.7544112.298700e-08
0.4806591.7543162.275502e-08
0.4824211.7540632.213483e-08
0.4841891.7538132.151236e-08
0.4859641.7535652.088762e-08
0.4877461.7533182.026058e-08
0.4895331.7530741.963124e-08
0.4913281.7528311.899960e-08
0.4931291.7525911.836564e-08
0.4949361.7523521.772936e-08
0.4967511.7521151.709074e-08
0.4985721.7518811.644979e-08
0.51.7516981.594700e-08
0.5003991.7516481.588964e-08
0.5022331.7514161.562606e-08
0.5040741.7511871.536152e-08
0.5059221.7509591.509601e-08
0.5077771.7507331.482953e-08
0.5096381.7505091.456207e-08
0.5115061.7502871.429363e-08
0.5133811.7500661.402421e-08
0.5152631.7498481.375380e-08
0.5171521.749631.348239e-08
0.5190471.7494151.321000e-08
0.520951.7492011.293660e-08
0.522861.7489891.266220e-08
0.5247761.7487781.238680e-08
0.52671.7485691.211038e-08
0.5286311.7483621.183296e-08
0.5305681.7481561.155451e-08
0.5325131.7479521.127505e-08
0.5344651.7477491.099456e-08
0.5364241.7475481.071304e-08
0.5383911.7473481.043049e-08
0.5403641.747151.014691e-08
0.5423451.7469539.862283e-09
0.5443331.7467589.576616e-09
0.5463281.7465649.289901e-09
0.5483311.7463729.002135e-09
0.551.7462148.762300e-09
0.5503411.7461818.767731e-09
0.5523581.7459928.799871e-09
0.5543831.7458048.832130e-09
0.5564151.7456178.864506e-09
0.5584551.7454328.897001e-09
0.5605021.7452488.929615e-09
0.5625561.7450668.962348e-09
0.5646191.7448858.995202e-09
0.5666881.7447059.028176e-09
0.5687651.7445269.061271e-09
0.570851.7443499.094487e-09
0.5729431.7441739.127825e-09
0.5750431.7439999.161285e-09
0.5771511.7438259.194868e-09
0.5792671.7436539.228574e-09
0.581391.7434829.262404e-09
0.5835211.7433139.296357e-09
0.585661.7431449.330435e-09
0.5878071.7429779.364638e-09
0.5899611.7428119.398966e-09
0.5921241.7426469.433420e-09
0.5942951.7424829.468001e-09
0.5964731.742329.502708e-09
0.5986591.7421589.537542e-09
0.61.742069.558900e-09
0.6008541.7419989.572496e-09
0.6030561.7418399.607564e-09
0.6052671.7416819.642761e-09
0.6074861.7415249.678087e-09
0.6097121.7413689.713542e-09
0.6119471.7412139.749127e-09
0.6141911.741069.784843e-09
0.6164421.7409079.820689e-09
0.6187021.7407569.856667e-09
0.620971.7406059.892777e-09
0.6232461.7404559.929019e-09
0.625531.7403079.965394e-09
0.6278231.7401591.000190e-08
0.6301251.7400131.003854e-08
0.6324341.7398671.007532e-08
0.6347531.7397231.011223e-08
0.6370791.7395791.014928e-08
0.6394151.7394371.018646e-08
0.6417591.7392951.022378e-08
0.6441111.7391541.026124e-08
0.6464721.7390141.029883e-08
0.6488421.7388761.033656e-08
0.651.7388081.035500e-08
0.651221.7387381.037445e-08
0.6536071.73861.041250e-08
0.6560031.7384641.045069e-08
0.6584081.7383291.048902e-08
0.6608211.7381941.052749e-08
0.6632441.7380611.056610e-08
0.6656751.7379281.060486e-08
0.6681151.7377961.064375e-08
0.6705641.7376651.068279e-08
0.6730221.7375351.072197e-08
0.6754891.7374061.076130e-08
0.6779651.7372771.080077e-08
0.680451.7371491.084038e-08
0.6829451.7370221.088014e-08
0.6854481.7368961.092004e-08
0.6879611.736771.096009e-08
0.6904821.7366461.100029e-08
0.6930131.7365221.104063e-08
0.6955541.7363991.108113e-08
0.6981031.7362761.112177e-08
0.71.7361861.115200e-08
0.7006621.7361541.116255e-08
0.7032311.7360331.120347e-08
0.7058091.7359131.124453e-08
0.7083961.7357941.128574e-08
0.7109921.7356751.132711e-08
0.7135991.7355571.136863e-08
0.7162141.7354391.141030e-08
0.718841.7353221.145212e-08
0.7214751.7352061.149409e-08
0.7241191.7350911.153622e-08
0.7267741.7349761.157851e-08
0.7294381.7348621.162095e-08
0.7321121.7347481.166354e-08
0.7347951.7346351.170629e-08
0.7374891.7345231.174920e-08
0.7401921.7344121.179226e-08
0.7429051.7343011.183548e-08
0.7456291.734191.187886e-08
0.7483621.734081.192240e-08
0.7511051.7339711.196610e-08
0.7538581.7338621.200996e-08
0.7566221.7337541.205398e-08
0.7593951.7336471.209816e-08
0.7621791.733541.214251e-08
0.7649731.7334331.218701e-08
0.7677771.7333281.223168e-08
0.7705911.7332221.227652e-08
0.7734161.7331181.232151e-08
0.7762511.7330131.236668e-08
0.7790961.732911.241200e-08
0.7819521.7328061.245750e-08
0.7848181.7327041.250316e-08
0.7876951.7326021.254899e-08
0.7905831.73251.259498e-08
0.7934811.7323991.264115e-08
0.7963891.7322981.268748e-08
0.7993091.7321981.273398e-08
0.81.7321741.274500e-08
0.8022381.7320981.278066e-08
0.8051791.7319991.282751e-08
0.8081311.73191.287453e-08
0.8110931.7318011.292172e-08
0.8140661.7317031.296908e-08
0.817051.7316061.301662e-08
0.8200451.7315091.306433e-08
0.8230511.7314121.311222e-08
0.8260681.7313161.316028e-08
0.8290961.731221.320852e-08
0.8321351.7311251.325694e-08
0.8351861.731031.330553e-08
0.8382471.7309351.335431e-08
0.841321.7308411.340326e-08
0.8444041.7307471.345239e-08
0.8474991.7306531.350169e-08
0.8506061.730561.355119e-08
0.8537241.7304681.360086e-08
0.8568531.7303751.365071e-08
0.8599941.7302831.370075e-08
0.8631461.7301921.375097e-08
0.866311.73011.380137e-08
0.8694861.7300091.385196e-08
0.8726731.7299191.390274e-08
0.8758721.7298281.395370e-08
0.8790821.7297381.400484e-08
0.8823051.7296491.405618e-08
0.8855391.7295591.410770e-08
0.8887851.729471.415941e-08
0.8920431.7293821.421132e-08
0.8953131.7292931.426341e-08
0.8985951.7292051.431569e-08
0.9018891.7291171.436817e-08
0.9051951.7290291.442083e-08
0.9085131.7289421.447369e-08
0.9118431.7288551.452675e-08
0.9151861.7287681.457999e-08
0.918541.7286821.463344e-08
0.9219071.7285951.468708e-08
0.9252871.7285091.474091e-08
0.9286781.7284241.479494e-08
0.9320831.7283381.484918e-08
0.9354991.7282531.490361e-08
0.9389281.7281681.495824e-08
0.942371.7280831.501307e-08
0.9458241.7279981.506810e-08
0.9492911.7279141.512333e-08
0.9527711.7278291.517876e-08
0.9562641.7277451.523440e-08
0.9597691.7276621.529024e-08
0.9632871.7275781.534629e-08
0.9668181.7274941.540254e-08
0.9703621.7274111.545900e-08
0.9739191.7273281.551567e-08
0.9774891.7272451.557254e-08
0.9810721.7271621.562962e-08
0.9846681.727081.568691e-08
0.9882781.7269971.574441e-08
0.9919011.7269151.580212e-08
0.9955361.7268331.586005e-08
0.9991861.7267511.591818e-08
1.002851.7266691.597653e-08
1.006521.7265871.603509e-08
1.010211.7265061.609387e-08
1.013921.7264241.615286e-08
1.017631.7263431.621207e-08
1.021361.7262621.627150e-08
1.025111.726181.633114e-08
1.028871.7260991.639100e-08
1.032641.7260181.645108e-08
1.036421.7259381.651139e-08
1.040221.7258571.657191e-08
1.044031.7257761.663265e-08
1.047861.7256961.669362e-08
1.05171.7256151.675481e-08
1.055561.7255351.681623e-08
1.059431.7254541.687787e-08
1.061.7254421.688700e-08
1.063311.7253741.721010e-08
1.067211.7252941.759053e-08
1.071121.7252141.797235e-08
1.075051.7251331.835558e-08
1.078991.7250531.874021e-08
1.082941.7249731.912625e-08
1.086911.7248931.951371e-08
1.09091.7248131.990258e-08
1.094891.7247332.029288e-08
1.098911.7246532.068462e-08
1.102941.7245732.107778e-08
1.106981.7244932.147239e-08
1.111041.7244132.186845e-08
1.115111.7243342.226596e-08
1.11921.7242542.266492e-08
1.12331.7241742.306535e-08
1.127421.7240942.346724e-08
1.131551.7240142.387061e-08
1.13571.7239342.427546e-08
1.139861.7238542.468179e-08
1.144041.7237742.508961e-08
1.148231.7236942.549892e-08
1.152441.7236142.590974e-08
1.156671.7235332.632206e-08
1.160911.7234532.673589e-08
1.165161.7233732.715124e-08
1.169431.7232932.756812e-08
1.173721.7232122.798652e-08
1.178021.7231322.840645e-08
1.182341.7230512.882792e-08
1.186671.7229712.925094e-08
1.191021.722892.967551e-08
1.195391.7228093.010164e-08
1.199771.7227283.052932e-08
1.204171.7226483.095858e-08
1.208581.7225663.138941e-08
1.213011.7224853.182182e-08
1.217461.7224043.225581e-08
1.221921.7223233.269139e-08
1.22641.7222413.312857e-08
1.23091.722163.356735e-08
1.235411.7220783.400775e-08
1.239941.7219963.444975e-08
1.244481.7219143.489338e-08
1.249041.7218323.533863e-08
1.253621.721753.578551e-08
1.258221.7216673.623404e-08
1.262831.7215853.668420e-08
1.267461.7215023.713602e-08
1.272111.7214193.758949e-08
1.276771.7213363.804463e-08
1.281451.7212533.850143e-08
1.286151.7211693.895991e-08
1.290861.7210863.942006e-08
1.295591.7210023.988191e-08
1.300341.7209184.034545e-08
1.305111.7208344.081069e-08
1.309891.7207494.127763e-08
1.314691.7206654.174628e-08
1.319511.720584.221665e-08
1.324351.7204954.268875e-08
1.32921.720414.316258e-08
1.334081.7203244.363814e-08
1.338971.7202394.411545e-08
1.343881.7201534.459450e-08
1.34881.7200674.507532e-08
1.353751.719984.555789e-08
1.358711.7198934.604224e-08
1.363691.7198074.652835e-08
1.368691.7197194.701626e-08
1.37371.7196324.750595e-08
1.378741.7195444.799743e-08
1.383791.7194564.849072e-08
1.388871.7193684.898581e-08
1.393961.719284.948272e-08
1.399071.7191914.998145e-08
1.40421.7191025.048201e-08
1.409341.7190125.098440e-08
1.414511.7189235.148864e-08
1.419691.7188335.199472e-08
1.42491.7187425.250266e-08
1.430121.7186525.301246e-08
1.435361.7185615.352413e-08
1.440621.7184695.403768e-08
1.445911.7183785.455311e-08
1.451211.7182865.507042e-08
1.456521.7181945.558964e-08
1.461861.7181015.611075e-08
1.467221.7180085.663378e-08
1.47261.7179155.715872e-08
1.4781.7178215.768559e-08
1.483421.7177275.821439e-08
1.488851.7176325.874513e-08
1.494311.7175385.927781e-08
1.499791.7174425.981245e-08
1.51.7174395.983300e-08
1.505291.7173476.572013e-08
1.51081.7172517.186417e-08
1.516341.7171547.803073e-08
1.52191.7170588.421990e-08
1.527481.716969.043175e-08
1.533081.7168639.666637e-08
1.53871.7167651.029238e-07
1.544341.7166661.092043e-07
1.551.7165671.155077e-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
—