Optical constants

Refractive index of K-LaSFn2 (SUMITA)

K-LaSFn2: 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
1.805
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.25804
Permittivity ε2
3.37945e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
39.593
Chromatic dispersion dn/dλ
-0.10368 µm⁻¹
Group index ng
1.86593
Group velocity dispersion
195.892 fs²/mm
Dispersion parameter D
-1068.7 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-LaSFn2 (SUMITA): K-LaSFn2
sumita_k_lasfn2 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaSFn2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lasfn2.range_nm)  # (360, 1550) nm
eps = sumita_k_lasfn2.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=3.1666472−0.014823032⁢λ2.0+0.030366123⁢λ−2.0+0.0010942894⁢λ−4.0−4.2108569×10-5⁢λ−6.0+5.7186779×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.1666472
C2-0.014823032
C32.0
C40.030366123
C5-2.0
C60.0010942894
C7-4.0
C8-4.2108569e-05
C9-6.0
C105.7186779e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 5.26e-06 1.83e-08 -3.28e-10 7.62e-07 8.92e-10 0.222
nd
1.80500
Vd
39.6
glass code
805396
density
value: 4130
thermal expansion
value: 5.6e-06, temperature range: 243 343; value: 7e-06, temperature range: 293 573
dPgF
-0.0066
resistance
acid: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.63e-06 K⁻¹ at 633 nm, dn/dT = 3.47e-06 K⁻¹ at 1310 nm, dn/dT = 3.38e-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-LaSFn2 (SUMITA), K-LaSFn2: n and k versus wavelength
λ (µm)nk
0.361.8614811.021800e-06
0.361321.8607199.683567e-07
0.3626441.8599679.147174e-07
0.3639731.8592238.608815e-07
0.3653081.8584888.068483e-07
0.3666471.8577617.526171e-07
0.3679911.8570426.981870e-07
0.369341.8563316.435574e-07
0.371.8559876.168100e-07
0.3706931.8556286.003686e-07
0.3720521.8549335.681496e-07
0.3734161.8542465.358125e-07
0.3747851.8535675.033569e-07
0.3761591.8528954.707824e-07
0.3775371.852234.380884e-07
0.3789211.8515724.052746e-07
0.381.8510663.797000e-07
0.380311.8509223.755287e-07
0.3817041.8502783.567938e-07
0.3831041.8496423.379902e-07
0.3845081.8490123.191177e-07
0.3859171.8483893.001760e-07
0.3873321.8477732.811648e-07
0.3887521.8471632.620840e-07
0.391.8466342.453100e-07
0.3901771.846562.439183e-07
0.3916071.8459632.326638e-07
0.3930431.8453722.213680e-07
0.3944831.8447872.100308e-07
0.3959291.8442081.986520e-07
0.3973811.8436361.872315e-07
0.3988371.8430691.757692e-07
0.41.8426221.666200e-07
0.4002991.8425081.656500e-07
0.4017671.8419521.608943e-07
0.4032391.8414021.561212e-07
0.4047171.8408581.513307e-07
0.4062011.8403191.465225e-07
0.407691.8397861.416967e-07
0.4091841.8392581.368533e-07
0.4106841.8387351.319921e-07
0.412191.8382181.271130e-07
0.4137011.8377051.222161e-07
0.4152171.8371981.173012e-07
0.4167391.8366951.123683e-07
0.4182671.8361981.074174e-07
0.41981.8357051.024483e-07
0.421.8356411.018000e-07
0.4213391.8352179.924281e-08
0.4228831.8347339.629280e-08
0.4244331.8342559.333198e-08
0.4259891.8337819.036031e-08
0.4275511.8333118.737774e-08
0.4291181.8328468.438424e-08
0.4306911.8323868.137977e-08
0.432271.8319297.836429e-08
0.4338541.8314777.533775e-08
0.4354451.831037.230011e-08
0.4370411.8305866.925134e-08
0.4386431.8301476.619140e-08
0.441.8297796.359900e-08
0.4402511.8297116.335578e-08
0.4418641.829286.178984e-08
0.4434841.8288536.021816e-08
0.445111.828435.864072e-08
0.4467411.828015.705749e-08
0.4483791.8275955.546846e-08
0.4500231.8271835.387361e-08
0.4516721.8267755.227291e-08
0.4533281.826375.066635e-08
0.454991.825974.905389e-08
0.4566571.8255734.743553e-08
0.4583311.8251794.581123e-08
0.461.8247924.419200e-08
0.4600111.8247894.418214e-08
0.4616981.8244034.271850e-08
0.463391.824024.124949e-08
0.4650891.823643.977510e-08
0.4667931.8232643.829530e-08
0.4685051.8228913.681008e-08
0.4702221.8225223.531941e-08
0.4719461.8221563.382328e-08
0.4736751.8217923.232167e-08
0.4754121.8214333.081455e-08
0.4771541.8210762.930190e-08
0.4789041.8207222.778372e-08
0.481.8205032.683200e-08
0.4806591.8203722.634178e-08
0.4824211.8200242.503118e-08
0.4841891.819682.371578e-08
0.4859641.8193382.239556e-08
0.4877461.8189992.107050e-08
0.4895331.8186641.974058e-08
0.4913281.8183311.840578e-08
0.4931291.8180011.706609e-08
0.4949361.8176741.572150e-08
0.4967511.817351.437197e-08
0.4985721.8170281.301750e-08
0.51.8167781.195500e-08
0.5003991.8167091.192951e-08
0.5022331.8163931.181238e-08
0.5040741.8160791.169483e-08
0.5059221.8157681.157684e-08
0.5077771.815461.145843e-08
0.5096381.8151541.133957e-08
0.5115061.8148511.122028e-08
0.5133811.8145511.110056e-08
0.5152631.8142531.098040e-08
0.5171521.8139571.085979e-08
0.5190471.8136641.073874e-08
0.520951.8133731.061725e-08
0.522861.8130841.049532e-08
0.5247761.8127981.037294e-08
0.52671.8125151.025010e-08
0.5286311.8122331.012682e-08
0.5305681.8119541.000309e-08
0.5325131.8116779.878902e-09
0.5344651.8114039.754260e-09
0.5364241.8111319.629160e-09
0.5383911.810869.503603e-09
0.5403641.8105929.377585e-09
0.5423451.8103279.251105e-09
0.5443331.8100639.124161e-09
0.5463281.8098018.996753e-09
0.5483311.8095428.868877e-09
0.551.8093288.762300e-09
0.5503411.8092848.767731e-09
0.5523581.8090298.799871e-09
0.5543831.8087768.832130e-09
0.5564151.8085248.864506e-09
0.5584551.8082758.897001e-09
0.5605021.8080288.929615e-09
0.5625561.8077828.962348e-09
0.5646191.8075398.995202e-09
0.5666881.8072979.028176e-09
0.5687651.8070579.061271e-09
0.570851.806829.094487e-09
0.5729431.8065839.127825e-09
0.5750431.8063499.161285e-09
0.5771511.8061179.194868e-09
0.5792671.8058869.228574e-09
0.581391.8056589.262404e-09
0.5835211.805439.296357e-09
0.585661.8052059.330435e-09
0.5878071.8049829.364638e-09
0.5899611.804769.398966e-09
0.5921241.8045399.433420e-09
0.5942951.8043219.468001e-09
0.5964731.8041049.502708e-09
0.5986591.8038899.537542e-09
0.61.8037589.558900e-09
0.6008541.8036759.572496e-09
0.6030561.8034639.607564e-09
0.6052671.8032539.642761e-09
0.6074861.8030449.678087e-09
0.6097121.8028369.713542e-09
0.6119471.8026319.749127e-09
0.6141911.8024269.784843e-09
0.6164421.8022249.820689e-09
0.6187021.8020229.856667e-09
0.620971.8018239.892777e-09
0.6232461.8016249.929019e-09
0.625531.8014279.965394e-09
0.6278231.8012321.000190e-08
0.6301251.8010381.003854e-08
0.6324341.8008451.007532e-08
0.6347531.8006541.011223e-08
0.6370791.8004641.014928e-08
0.6394151.8002761.018646e-08
0.6417591.8000891.022378e-08
0.6441111.7999031.026124e-08
0.6464721.7997191.029883e-08
0.6488421.7995351.033656e-08
0.651.7994471.035500e-08
0.651221.7993541.037445e-08
0.6536071.7991731.041250e-08
0.6560031.7989941.045069e-08
0.6584081.7988161.048902e-08
0.6608211.7986391.052749e-08
0.6632441.7984631.056610e-08
0.6656751.7982891.060486e-08
0.6681151.7981161.064375e-08
0.6705641.7979441.068279e-08
0.6730221.7977731.072197e-08
0.6754891.7976041.076130e-08
0.6779651.7974351.080077e-08
0.680451.7972681.084038e-08
0.6829451.7971021.088014e-08
0.6854481.7969371.092004e-08
0.6879611.7967731.096009e-08
0.6904821.796611.100029e-08
0.6930131.7964491.104063e-08
0.6955541.7962881.108113e-08
0.6981031.7961281.112177e-08
0.71.7960111.115200e-08
0.7006621.795971.116255e-08
0.7032311.7958121.120347e-08
0.7058091.7956561.124453e-08
0.7083961.7955011.128574e-08
0.7109921.7953461.132711e-08
0.7135991.7951931.136863e-08
0.7162141.795041.141030e-08
0.718841.7948891.145212e-08
0.7214751.7947391.149409e-08
0.7241191.7945891.153622e-08
0.7267741.7944411.157851e-08
0.7294381.7942931.162095e-08
0.7321121.7941471.166354e-08
0.7347951.7940011.170629e-08
0.7374891.7938561.174920e-08
0.7401921.7937121.179226e-08
0.7429051.7935691.183548e-08
0.7456291.7934271.187886e-08
0.7483621.7932861.192240e-08
0.7511051.7931451.196610e-08
0.7538581.7930061.200996e-08
0.7566221.7928671.205398e-08
0.7593951.7927291.209816e-08
0.7621791.7925921.214251e-08
0.7649731.7924561.218701e-08
0.7677771.7923211.223168e-08
0.7705911.7921861.227652e-08
0.7734161.7920521.232151e-08
0.7762511.7919191.236668e-08
0.7790961.7917871.241200e-08
0.7819521.7916561.245750e-08
0.7848181.7915251.250316e-08
0.7876951.7913951.254899e-08
0.7905831.7912661.259498e-08
0.7934811.7911371.264115e-08
0.7963891.7910091.268748e-08
0.7993091.7908821.273398e-08
0.81.7908521.274500e-08
0.8022381.7907561.278066e-08
0.8051791.790631.282751e-08
0.8081311.7905051.287453e-08
0.8110931.7903811.292172e-08
0.8140661.7902581.296908e-08
0.817051.7901351.301662e-08
0.8200451.7900121.306433e-08
0.8230511.7898911.311222e-08
0.8260681.789771.316028e-08
0.8290961.7896491.320852e-08
0.8321351.789531.325694e-08
0.8351861.7894111.330553e-08
0.8382471.7892921.335431e-08
0.841321.7891741.340326e-08
0.8444041.7890571.345239e-08
0.8474991.788941.350169e-08
0.8506061.7888241.355119e-08
0.8537241.7887091.360086e-08
0.8568531.7885941.365071e-08
0.8599941.7884791.370075e-08
0.8631461.7883651.375097e-08
0.866311.7882521.380137e-08
0.8694861.7881391.385196e-08
0.8726731.7880271.390274e-08
0.8758721.7879151.395370e-08
0.8790821.7878041.400484e-08
0.8823051.7876931.405618e-08
0.8855391.7875831.410770e-08
0.8887851.7874741.415941e-08
0.8920431.7873641.421132e-08
0.8953131.7872561.426341e-08
0.8985951.7871471.431569e-08
0.9018891.787041.436817e-08
0.9051951.7869321.442083e-08
0.9085131.7868261.447369e-08
0.9118431.7867191.452675e-08
0.9151861.7866131.457999e-08
0.918541.7865081.463344e-08
0.9219071.7864031.468708e-08
0.9252871.7862981.474091e-08
0.9286781.7861941.479494e-08
0.9320831.786091.484918e-08
0.9354991.7859871.490361e-08
0.9389281.7858841.495824e-08
0.942371.7857811.501307e-08
0.9458241.7856791.506810e-08
0.9492911.7855771.512333e-08
0.9527711.7854751.517876e-08
0.9562641.7853741.523440e-08
0.9597691.7852741.529024e-08
0.9632871.7851731.534629e-08
0.9668181.7850731.540254e-08
0.9703621.7849731.545900e-08
0.9739191.7848741.551567e-08
0.9774891.7847751.557254e-08
0.9810721.7846761.562962e-08
0.9846681.7845781.568691e-08
0.9882781.784481.574441e-08
0.9919011.7843821.580212e-08
0.9955361.7842851.586005e-08
0.9991861.7841881.591818e-08
1.002851.7840911.597653e-08
1.006521.7839941.603509e-08
1.010211.7838981.609387e-08
1.013921.7838021.615286e-08
1.017631.7837061.621207e-08
1.021361.7836111.627150e-08
1.025111.7835151.633114e-08
1.028871.783421.639100e-08
1.032641.7833261.645108e-08
1.036421.7832311.651139e-08
1.040221.7831371.657191e-08
1.044031.7830431.663265e-08
1.047861.7829491.669362e-08
1.05171.7828551.675481e-08
1.055561.7827621.681623e-08
1.059431.7826691.687787e-08
1.061.7826551.688700e-08
1.063311.7825761.693974e-08
1.067211.7824831.700184e-08
1.071121.782391.706416e-08
1.075051.7822981.712671e-08
1.078991.7822061.718950e-08
1.082941.7821141.725251e-08
1.086911.7820221.731575e-08
1.09091.781931.737923e-08
1.094891.7818381.744294e-08
1.098911.7817471.750688e-08
1.102941.7816561.757105e-08
1.106981.7815641.763547e-08
1.111041.7814731.770011e-08
1.115111.7813831.776500e-08
1.11921.7812921.783012e-08
1.12331.7812011.789548e-08
1.127421.7811111.796108e-08
1.131551.781021.802692e-08
1.13571.780931.809301e-08
1.139861.780841.815933e-08
1.144041.780751.822590e-08
1.148231.780661.829271e-08
1.152441.780571.835977e-08
1.156671.780481.842707e-08
1.160911.780391.849462e-08
1.165161.78031.856241e-08
1.169431.7802111.863046e-08
1.173721.7801211.869875e-08
1.178021.7800321.876730e-08
1.182341.7799421.883610e-08
1.186671.7798531.890514e-08
1.191021.7797631.897445e-08
1.195391.7796741.904400e-08
1.199771.7795851.911381e-08
1.204171.7794951.918388e-08
1.208581.7794061.925420e-08
1.213011.7793171.932478e-08
1.217461.7792271.939562e-08
1.221921.7791381.946672e-08
1.22641.7790491.953808e-08
1.23091.7789591.960970e-08
1.235411.778871.968159e-08
1.239941.7787811.975374e-08
1.244481.7786911.982615e-08
1.249041.7786021.989883e-08
1.253621.7785131.997177e-08
1.258221.7784232.004498e-08
1.262831.7783342.011846e-08
1.267461.7782442.019221e-08
1.272111.7781542.026623e-08
1.276771.7780652.034052e-08
1.281451.7779752.041509e-08
1.286151.7778852.048992e-08
1.290861.7777952.056503e-08
1.295591.7777052.064042e-08
1.300341.7776152.071608e-08
1.305111.7775252.079202e-08
1.309891.7774352.086824e-08
1.314691.7773452.094474e-08
1.319511.7772542.102151e-08
1.324351.7771642.109857e-08
1.32921.7770732.117592e-08
1.334081.7769822.125354e-08
1.338971.7768912.133145e-08
1.343881.77682.140965e-08
1.34881.7767092.148813e-08
1.353751.7766182.156690e-08
1.358711.7765262.164596e-08
1.363691.7764352.172531e-08
1.368691.7763432.180495e-08
1.37371.7762512.188488e-08
1.378741.7761592.196510e-08
1.383791.7760672.204562e-08
1.388871.7759742.212643e-08
1.393961.7758822.220754e-08
1.399071.7757892.228895e-08
1.40421.7756962.237065e-08
1.409341.7756032.245266e-08
1.414511.7755092.253496e-08
1.419691.7754162.261757e-08
1.42491.7753222.270048e-08
1.430121.7752282.278370e-08
1.435361.7751342.286721e-08
1.440621.7750392.295104e-08
1.445911.7749452.303517e-08
1.451211.774852.311961e-08
1.456521.7747542.320436e-08
1.461861.7746592.328942e-08
1.467221.7745632.337480e-08
1.47261.7744672.346048e-08
1.4781.7743712.354648e-08
1.483421.7742752.363280e-08
1.488851.7741782.371943e-08
1.494311.7740812.380638e-08
1.499791.7739832.389365e-08
1.51.773982.389700e-08
1.505291.7738862.773259e-08
1.51081.7737883.173557e-08
1.516341.773693.575322e-08
1.52191.7735913.978560e-08
1.527481.7734924.383276e-08
1.533081.7733934.789476e-08
1.53871.7732945.197164e-08
1.544341.7731945.606347e-08
1.551.7730946.017030e-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
—