Optical constants

Refractive index of K-LaSFn4 (SUMITA)

K-LaSFn4: 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
1.78499
Extinction coefficient k
1.40486e-08
Permittivity ε1
3.18618
Permittivity ε2
5.01533e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
43.654
Chromatic dispersion dn/dλ
-0.0920105 µm⁻¹
Group index ng
1.83905
Group velocity dispersion
171.006 fs²/mm
Dispersion parameter D
-932.929 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-LaSFn4 (SUMITA): K-LaSFn4
sumita_k_lasfn4 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaSFn4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lasfn4.range_nm)  # (360, 1550) nm
eps = sumita_k_lasfn4.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=3.1049984−0.013342479⁢λ2.0+0.027506526⁢λ−2.0+0.00075451621⁢λ−4.0−1.6565687×10-5⁢λ−6.0+2.780481×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.1049984
C2-0.013342479
C32.0
C40.027506526
C5-2.0
C60.00075451621
C7-4.0
C8-1.6565687e-05
C9-6.0
C102.780481e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -6.24e-07 1.69e-08 -1.42e-10 6.93e-07 1.19e-09 0.208
nd
1.78500
Vd
43.7
glass code
785437
density
value: 4120
thermal expansion
value: 6.9e-06, temperature range: 243 343; value: 8.3e-06, temperature range: 293 573
dPgF
-0.0078
resistance
acid: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 8.02e-07 K⁻¹ at 633 nm, dn/dT = -1.25e-07 K⁻¹ at 1310 nm, dn/dT = -1.96e-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-LaSFn4 (SUMITA), K-LaSFn4: n and k versus wavelength
λ (µm)nk
0.361.8337615.966100e-07
0.361321.8331255.671072e-07
0.3626441.8324965.374963e-07
0.3639731.8318735.077768e-07
0.3653081.8312574.779484e-07
0.3666471.8306474.480107e-07
0.3679911.8300434.179632e-07
0.369341.8294463.878056e-07
0.371.8291573.730400e-07
0.3706931.8288553.639744e-07
0.3720521.828273.462092e-07
0.3734161.8276913.283788e-07
0.3747851.8271173.104831e-07
0.3761591.826552.925219e-07
0.3775371.8259882.744947e-07
0.3789211.8254322.564015e-07
0.381.8250042.423000e-07
0.380311.8248812.398219e-07
0.3817041.8243362.286916e-07
0.3831041.8237972.175206e-07
0.3845081.8232622.063085e-07
0.3859171.8227331.950554e-07
0.3873321.8222091.837611e-07
0.3887521.8216911.724253e-07
0.391.821241.624600e-07
0.3901771.8211771.617092e-07
0.3916071.8206681.556379e-07
0.3930431.8201641.495443e-07
0.3944831.8196651.434283e-07
0.3959291.8191711.372899e-07
0.3973811.8186821.311291e-07
0.3988371.8181971.249456e-07
0.41.8178151.200100e-07
0.4002991.8177171.194804e-07
0.4017671.8172421.168838e-07
0.4032391.8167711.142778e-07
0.4047171.8163041.116622e-07
0.4062011.8158421.090370e-07
0.407691.8153841.064022e-07
0.4091841.8149311.037577e-07
0.4106841.8144811.011035e-07
0.412191.8140369.843963e-08
0.4137011.8135959.576596e-08
0.4152171.8131589.308250e-08
0.4167391.8127259.038920e-08
0.4182671.8122968.768602e-08
0.41981.8118718.497294e-08
0.421.8118168.461900e-08
0.4213391.811458.345076e-08
0.4228831.8110338.210306e-08
0.4244331.810628.075041e-08
0.4259891.810217.939282e-08
0.4275511.8098047.803024e-08
0.4291181.8094027.666267e-08
0.4306911.8090037.529009e-08
0.432271.8086087.391247e-08
0.4338541.8082167.252981e-08
0.4354451.8078287.114207e-08
0.4370411.8074446.974925e-08
0.4386431.8070636.835133e-08
0.441.8067436.716700e-08
0.4402511.8066856.697203e-08
0.4418641.806316.571674e-08
0.4434841.8059396.445686e-08
0.445111.8055716.319235e-08
0.4467411.8052076.192321e-08
0.4483791.8048456.064942e-08
0.4500231.8044875.937095e-08
0.4516721.8041315.808781e-08
0.4533281.8037795.679995e-08
0.454991.803435.550738e-08
0.4566571.8030845.421007e-08
0.4583311.8027415.290800e-08
0.461.8024035.161000e-08
0.4600111.8024015.160249e-08
0.4616981.8020645.048781e-08
0.463391.801734.936905e-08
0.4650891.8013984.824618e-08
0.4667931.801074.711920e-08
0.4685051.8007444.598809e-08
0.4702221.8004214.485283e-08
0.4719461.8001014.371341e-08
0.4736751.7997834.256981e-08
0.4754121.7994684.142202e-08
0.4771541.7991564.027003e-08
0.4789041.7988463.911381e-08
0.481.7986543.838900e-08
0.4806591.7985393.791305e-08
0.4824211.7982353.664060e-08
0.4841891.7979333.536348e-08
0.4859641.7976333.408168e-08
0.4877461.7973363.279519e-08
0.4895331.7970423.150398e-08
0.4913281.796753.020803e-08
0.4931291.796462.890733e-08
0.4949361.7961732.760187e-08
0.4967511.7958882.629162e-08
0.4985721.7956062.497657e-08
0.51.7953872.394500e-08
0.5003991.7953262.385881e-08
0.5022331.7950482.346279e-08
0.5040741.7947722.306532e-08
0.5059221.7944992.266640e-08
0.5077771.7942272.226601e-08
0.5096381.7939582.186415e-08
0.5115061.7936922.146082e-08
0.5133811.7934272.105601e-08
0.5152631.7931642.064972e-08
0.5171521.7929042.024193e-08
0.5190471.7926461.983266e-08
0.520951.792391.942188e-08
0.522861.7921351.900960e-08
0.5247761.7918831.859580e-08
0.52671.7916331.818049e-08
0.5286311.7913851.776366e-08
0.5305681.7911391.734529e-08
0.5325131.7908941.692540e-08
0.5344651.7906521.650397e-08
0.5364241.7904111.608099e-08
0.5383911.7901731.565646e-08
0.5403641.7899361.523037e-08
0.5423451.7897011.480272e-08
0.5443331.7894681.437351e-08
0.5463281.7892371.394272e-08
0.5483311.7890081.351035e-08
0.551.7888191.315000e-08
0.5503411.788781.315815e-08
0.5523581.7885541.320636e-08
0.5543831.788331.325475e-08
0.5564151.7881081.330332e-08
0.5584551.7878871.335207e-08
0.5605021.7876681.340099e-08
0.5625561.7874511.345010e-08
0.5646191.7872351.349938e-08
0.5666881.7870211.354885e-08
0.5687651.7868091.359849e-08
0.570851.7865981.364832e-08
0.5729431.7863891.369833e-08
0.5750431.7861811.374853e-08
0.5771511.7859751.379891e-08
0.5792671.7857711.384947e-08
0.581391.7855681.390022e-08
0.5835211.7853671.395115e-08
0.585661.7851671.400227e-08
0.5878071.7849681.405358e-08
0.5899611.7847711.410508e-08
0.5921241.7845761.415676e-08
0.5942951.7843821.420864e-08
0.5964731.7841891.426070e-08
0.5986591.7839981.431296e-08
0.61.7838821.434500e-08
0.6008541.7838081.436543e-08
0.6030561.783621.441811e-08
0.6052671.7834331.447099e-08
0.6074861.7832471.452406e-08
0.6097121.7830631.457732e-08
0.6119471.782881.463078e-08
0.6141911.7826981.468444e-08
0.6164421.7825181.473829e-08
0.6187021.7823391.479234e-08
0.620971.7821611.484659e-08
0.6232461.7819851.490104e-08
0.625531.781811.495569e-08
0.6278231.7816361.501053e-08
0.6301251.7814631.506558e-08
0.6324341.7812911.512083e-08
0.6347531.7811211.517629e-08
0.6370791.7809521.523194e-08
0.6394151.7807841.528780e-08
0.6417591.7806171.534387e-08
0.6441111.7804521.540014e-08
0.6464721.7802871.545661e-08
0.6488421.7801241.551330e-08
0.651.7800451.554100e-08
0.651221.7799621.543389e-08
0.6536071.7798011.522435e-08
0.6560031.7796411.501404e-08
0.6584081.7794821.480296e-08
0.6608211.7793241.459110e-08
0.6632441.7791681.437847e-08
0.6656751.7790121.416506e-08
0.6681151.7788581.395087e-08
0.6705641.7787041.373589e-08
0.6730221.7785521.352012e-08
0.6754891.77841.330357e-08
0.6779651.778251.308622e-08
0.680451.7781011.286807e-08
0.6829451.7779521.264912e-08
0.6854481.7778051.242937e-08
0.6879611.7776581.220882e-08
0.6904821.7775131.198745e-08
0.6930131.7773681.176528e-08
0.6955541.7772251.154229e-08
0.6981031.7770821.131848e-08
0.71.7769771.115200e-08
0.7006621.776941.116255e-08
0.7032311.7767991.120347e-08
0.7058091.7766591.124453e-08
0.7083961.776521.128574e-08
0.7109921.7763821.132711e-08
0.7135991.7762451.136863e-08
0.7162141.7761091.141030e-08
0.718841.7759731.145212e-08
0.7214751.7758381.149409e-08
0.7241191.7757051.153622e-08
0.7267741.7755721.157851e-08
0.7294381.7754391.162095e-08
0.7321121.7753081.166354e-08
0.7347951.7751781.170629e-08
0.7374891.7750481.174920e-08
0.7401921.7749191.179226e-08
0.7429051.7747911.183548e-08
0.7456291.7746631.187886e-08
0.7483621.7745371.192240e-08
0.7511051.7744111.196610e-08
0.7538581.7742861.200996e-08
0.7566221.7741611.205398e-08
0.7593951.7740381.209816e-08
0.7621791.7739151.214251e-08
0.7649731.7737931.218701e-08
0.7677771.7736711.223168e-08
0.7705911.773551.227652e-08
0.7734161.773431.232151e-08
0.7762511.7733111.236668e-08
0.7790961.7731921.241200e-08
0.7819521.7730741.245750e-08
0.7848181.7729571.250316e-08
0.7876951.772841.254899e-08
0.7905831.7727241.259498e-08
0.7934811.7726081.264115e-08
0.7963891.7724941.268748e-08
0.7993091.7723791.273398e-08
0.81.7723531.274500e-08
0.8022381.7722661.278066e-08
0.8051791.7721531.282751e-08
0.8081311.7720411.287453e-08
0.8110931.7719291.292172e-08
0.8140661.7718181.296908e-08
0.817051.7717071.301662e-08
0.8200451.7715971.306433e-08
0.8230511.7714881.311222e-08
0.8260681.7713791.316028e-08
0.8290961.7712711.320852e-08
0.8321351.7711631.325694e-08
0.8351861.7710561.330553e-08
0.8382471.7709491.335431e-08
0.841321.7708431.340326e-08
0.8444041.7707381.345239e-08
0.8474991.7706331.350169e-08
0.8506061.7705281.355119e-08
0.8537241.7704241.360086e-08
0.8568531.770321.365071e-08
0.8599941.7702171.370075e-08
0.8631461.7701151.375097e-08
0.866311.7700131.380137e-08
0.8694861.7699111.385196e-08
0.8726731.769811.390274e-08
0.8758721.7697091.395370e-08
0.8790821.7696091.400484e-08
0.8823051.7695091.405618e-08
0.8855391.769411.410770e-08
0.8887851.7693111.415941e-08
0.8920431.7692131.421132e-08
0.8953131.7691151.426341e-08
0.8985951.7690171.431569e-08
0.9018891.768921.436817e-08
0.9051951.7688231.442083e-08
0.9085131.7687271.447369e-08
0.9118431.7686311.452675e-08
0.9151861.7685351.457999e-08
0.918541.768441.463344e-08
0.9219071.7683451.468708e-08
0.9252871.7682511.474091e-08
0.9286781.7681571.479494e-08
0.9320831.7680631.484918e-08
0.9354991.767971.490361e-08
0.9389281.7678771.495824e-08
0.942371.7677841.501307e-08
0.9458241.7676921.506810e-08
0.9492911.76761.512333e-08
0.9527711.7675081.517876e-08
0.9562641.7674171.523440e-08
0.9597691.7673261.529024e-08
0.9632871.7672351.534629e-08
0.9668181.7671451.540254e-08
0.9703621.7670551.545900e-08
0.9739191.7669651.551567e-08
0.9774891.7668751.557254e-08
0.9810721.7667861.562962e-08
0.9846681.7666971.568691e-08
0.9882781.7666091.574441e-08
0.9919011.766521.580212e-08
0.9955361.7664321.586005e-08
0.9991861.7663441.591818e-08
1.002851.7662571.597653e-08
1.006521.7661691.603509e-08
1.010211.7660821.609387e-08
1.013921.7659951.615286e-08
1.017631.7659091.621207e-08
1.021361.7658221.627150e-08
1.025111.7657361.633114e-08
1.028871.765651.639100e-08
1.032641.7655651.645108e-08
1.036421.7654791.651139e-08
1.040221.7653941.657191e-08
1.044031.7653091.663265e-08
1.047861.7652241.669362e-08
1.05171.7651391.675481e-08
1.055561.7650541.681623e-08
1.059431.764971.687787e-08
1.061.7649581.688700e-08
1.063311.7648861.693974e-08
1.067211.7648021.700184e-08
1.071121.7647181.706416e-08
1.075051.7646341.712671e-08
1.078991.7645511.718950e-08
1.082941.7644671.725251e-08
1.086911.7643841.731575e-08
1.09091.7643011.737923e-08
1.094891.7642181.744294e-08
1.098911.7641351.750688e-08
1.102941.7640531.757105e-08
1.106981.763971.763547e-08
1.111041.7638881.770011e-08
1.115111.7638051.776500e-08
1.11921.7637231.783012e-08
1.12331.7636411.789548e-08
1.127421.7635591.796108e-08
1.131551.7634771.802692e-08
1.13571.7633951.809301e-08
1.139861.7633131.815933e-08
1.144041.7632321.822590e-08
1.148231.763151.829271e-08
1.152441.7630681.835977e-08
1.156671.7629871.842707e-08
1.160911.7629061.849462e-08
1.165161.7628241.856241e-08
1.169431.7627431.863046e-08
1.173721.7626621.869875e-08
1.178021.7625811.876730e-08
1.182341.7624991.883610e-08
1.186671.7624181.890514e-08
1.191021.7623371.897445e-08
1.195391.7622561.904400e-08
1.199771.7621751.911381e-08
1.204171.7620941.918388e-08
1.208581.7620131.925420e-08
1.213011.7619321.932478e-08
1.217461.7618511.939562e-08
1.221921.761771.946672e-08
1.22641.7616891.953808e-08
1.23091.7616081.960970e-08
1.235411.7615271.968159e-08
1.239941.7614461.975374e-08
1.244481.7613651.982615e-08
1.249041.7612841.989883e-08
1.253621.7612021.997177e-08
1.258221.7611212.004498e-08
1.262831.761042.011846e-08
1.267461.7609592.019221e-08
1.272111.7608772.026623e-08
1.276771.7607962.034052e-08
1.281451.7607152.041509e-08
1.286151.7606332.048992e-08
1.290861.7605512.056503e-08
1.295591.760472.064042e-08
1.300341.7603882.071608e-08
1.305111.7603062.079202e-08
1.309891.7602242.086824e-08
1.314691.7601422.094474e-08
1.319511.760062.102151e-08
1.324351.7599782.109857e-08
1.32921.7598962.117592e-08
1.334081.7598132.125354e-08
1.338971.7597312.133145e-08
1.343881.7596482.140965e-08
1.34881.7595652.148813e-08
1.353751.7594822.156690e-08
1.358711.7593992.164596e-08
1.363691.7593162.172531e-08
1.368691.7592332.180495e-08
1.37371.7591492.188488e-08
1.378741.7590662.196510e-08
1.383791.7589822.204562e-08
1.388871.7588982.212643e-08
1.393961.7588142.220754e-08
1.399071.758732.228895e-08
1.40421.7586452.237065e-08
1.409341.758562.245266e-08
1.414511.7584762.253496e-08
1.419691.7583912.261757e-08
1.42491.7583052.270048e-08
1.430121.758222.278370e-08
1.435361.7581342.286721e-08
1.440621.7580482.295104e-08
1.445911.7579622.303517e-08
1.451211.7578762.311961e-08
1.456521.757792.320436e-08
1.461861.7577032.328942e-08
1.467221.7576162.337480e-08
1.47261.7575292.346048e-08
1.4781.7574412.354648e-08
1.483421.7573542.363280e-08
1.488851.7572662.371943e-08
1.494311.7571782.380638e-08
1.499791.7570892.389365e-08
1.51.7570862.389700e-08
1.505291.7570012.704432e-08
1.51081.7569123.032899e-08
1.516341.7568223.362570e-08
1.52191.7567333.693450e-08
1.527481.7566434.025542e-08
1.533081.7565534.358852e-08
1.53871.7564624.693384e-08
1.544341.7563725.029141e-08
1.551.7562815.366130e-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
—