Optical constants

Refractive index of K-LaSFn16 (SUMITA)

K-LaSFn16: 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
1.7883
Extinction coefficient k
5.64509e-08
Permittivity ε1
3.19801
Permittivity ε2
2.01902e-07
Absorption coefficient α
0.0120725 cm⁻¹
Penetration depth δ = λ/(2πk)
1.65665e+09 nm
Abbe number Vd
47.416
Chromatic dispersion dn/dλ
-0.0853937 µm⁻¹
Group index ng
1.83847
Group velocity dispersion
155.503 fs²/mm
Dispersion parameter D
-848.353 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-LaSFn16 (SUMITA): K-LaSFn16
sumita_k_lasfn16 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaSFn16", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lasfn16.range_nm)  # (360, 1550) nm
eps = sumita_k_lasfn16.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=3.124535−0.014985014⁢λ2.0+0.024795878⁢λ−2.0+0.00096271556⁢λ−4.0−6.4587038×10-5⁢λ−6.0+4.6162437×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.124535
C2-0.014985014
C32.0
C40.024795878
C5-2.0
C60.00096271556
C7-4.0
C8-6.4587038e-05
C9-6.0
C104.6162437e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.27e-06 1.53e-08 -2.61e-10 5.42e-07 5.61e-10 0.206
nd
1.78830
Vd
47.4
glass code
788474
density
value: 4760
thermal expansion
value: 5.4e-06, temperature range: 243 343; value: 7.2e-06, temperature range: 293 573
dPgF
-0.0104
resistance
acid: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.32e-06 K⁻¹ at 633 nm, dn/dT = 1.55e-06 K⁻¹ at 1310 nm, dn/dT = 1.49e-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-LaSFn16 (SUMITA), K-LaSFn16: n and k versus wavelength
λ (µm)nk
0.361.8324658.127100e-07
0.361321.83197.690662e-07
0.3626441.8313417.252623e-07
0.3639731.8307886.812980e-07
0.3653081.830246.371724e-07
0.3666471.8296985.928851e-07
0.3679911.8291615.484355e-07
0.369341.828635.038229e-07
0.371.8283724.819800e-07
0.3706931.8281044.690271e-07
0.3720521.8275834.436444e-07
0.3734161.8270674.181686e-07
0.3747851.8265563.925994e-07
0.3761591.826053.669365e-07
0.3775371.8255493.411795e-07
0.3789211.8250533.153281e-07
0.381.8246712.951800e-07
0.380311.8245622.920811e-07
0.3817041.8240752.781627e-07
0.3831041.8235932.641933e-07
0.3845081.8231162.501726e-07
0.3859171.8226432.361006e-07
0.3873321.8221752.219770e-07
0.3887521.8217112.078016e-07
0.391.8213081.953400e-07
0.3901771.8212511.943595e-07
0.3916071.8207961.864303e-07
0.3930431.8203451.784720e-07
0.3944831.8198981.704845e-07
0.3959291.8194551.624677e-07
0.3973811.8190171.544216e-07
0.3988371.8185821.463460e-07
0.41.8182391.399000e-07
0.4002991.8181511.392784e-07
0.4017671.8177251.362306e-07
0.4032391.8173021.331717e-07
0.4047171.8168831.301016e-07
0.4062011.8164671.270202e-07
0.407691.8160561.239275e-07
0.4091841.8156481.208235e-07
0.4106841.8152431.177081e-07
0.412191.8148431.145813e-07
0.4137011.8144461.114430e-07
0.4152171.8140521.082932e-07
0.4167391.8136621.051319e-07
0.4182671.8132751.019590e-07
0.41981.8128929.877445e-08
0.421.8128429.835900e-08
0.4213391.8125129.722864e-08
0.4228831.8121359.592465e-08
0.4244331.8117629.461588e-08
0.4259891.8113929.330231e-08
0.4275511.8110259.198393e-08
0.4291181.8106619.066071e-08
0.4306911.8103018.933264e-08
0.432271.8099438.799970e-08
0.4338541.8095898.666188e-08
0.4354451.8092378.531916e-08
0.4370411.8088898.397151e-08
0.4386431.8085438.261892e-08
0.441.8082548.147300e-08
0.4402511.8082018.133197e-08
0.4418641.8078618.042397e-08
0.4434841.8075247.951264e-08
0.445111.807197.859798e-08
0.4467411.8068597.767996e-08
0.4483791.8065317.675857e-08
0.4500231.8062057.583381e-08
0.4516721.8058827.490566e-08
0.4533281.8055627.397410e-08
0.454991.8052457.303913e-08
0.4566571.804937.210073e-08
0.4583311.8046177.115890e-08
0.461.804317.022000e-08
0.4600111.8043087.021952e-08
0.4616981.8040017.014879e-08
0.463391.8036967.007779e-08
0.4650891.8033947.000653e-08
0.4667931.8030946.993502e-08
0.4685051.8027976.986324e-08
0.4702221.8025026.979119e-08
0.4719461.802216.971889e-08
0.4736751.801926.964631e-08
0.4754121.8016326.957347e-08
0.4771541.8013476.950037e-08
0.4789041.8010636.942700e-08
0.481.8008886.938100e-08
0.4806591.8007836.907633e-08
0.4824211.8005046.826180e-08
0.4841891.8002286.744428e-08
0.4859641.7999546.662377e-08
0.4877461.7996826.580025e-08
0.4895331.7994126.497371e-08
0.4913281.7991456.414414e-08
0.4931291.7988796.331153e-08
0.4949361.7986166.247586e-08
0.4967511.7983556.163714e-08
0.4985721.7980966.079534e-08
0.51.7978946.013500e-08
0.5003991.7978386.007675e-08
0.5022331.7975835.980909e-08
0.5040741.797335.954045e-08
0.5059221.7970795.927083e-08
0.5077771.796835.900022e-08
0.5096381.7965835.872862e-08
0.5115061.7963375.845602e-08
0.5133811.7960945.818242e-08
0.5152631.7958535.790782e-08
0.5171521.7956135.763221e-08
0.5190471.7953755.735560e-08
0.520951.7951395.707796e-08
0.522861.7949055.679932e-08
0.5247761.7946735.651964e-08
0.52671.7944435.623895e-08
0.5286311.7942145.595722e-08
0.5305681.7939875.567447e-08
0.5325131.7937625.539067e-08
0.5344651.7935385.510584e-08
0.5364241.7933165.481996e-08
0.5383911.7930965.453303e-08
0.5403641.7928785.424506e-08
0.5423451.7926615.395602e-08
0.5443331.7924465.366593e-08
0.5463281.7922325.337477e-08
0.5483311.792025.308255e-08
0.551.7918465.283900e-08
0.5503411.791815.287175e-08
0.5523581.7916015.306553e-08
0.5543831.7913945.326003e-08
0.5564151.7911885.345524e-08
0.5584551.7909845.365116e-08
0.5605021.7907825.384780e-08
0.5625561.7905815.404517e-08
0.5646191.7903815.424325e-08
0.5666881.7901835.444207e-08
0.5687651.7899865.464161e-08
0.570851.7897915.484188e-08
0.5729431.7895975.504289e-08
0.5750431.7894055.524463e-08
0.5771511.7892145.544712e-08
0.5792671.7890245.565034e-08
0.581391.7888365.585431e-08
0.5835211.7886495.605903e-08
0.585661.7884645.626450e-08
0.5878071.788285.647072e-08
0.5899611.7880975.667770e-08
0.5921241.7879155.688544e-08
0.5942951.7877355.709393e-08
0.5964731.7875565.730320e-08
0.5986591.7873795.751323e-08
0.61.7872715.764200e-08
0.6008541.7872025.736713e-08
0.6030561.7870275.665814e-08
0.6052671.7868535.594656e-08
0.6074861.7866815.523237e-08
0.6097121.7865095.451556e-08
0.6119471.7863395.379612e-08
0.6141911.786175.307405e-08
0.6164421.7860025.234933e-08
0.6187021.7858365.162195e-08
0.620971.785675.089191e-08
0.6232461.7855065.015919e-08
0.625531.7853434.942378e-08
0.6278231.785184.868568e-08
0.6301251.785024.794487e-08
0.6324341.784864.720135e-08
0.6347531.7847014.645510e-08
0.6370791.7845434.570612e-08
0.6394151.7843874.495439e-08
0.6417591.7842314.419990e-08
0.6441111.7840774.344265e-08
0.6464721.7839234.268263e-08
0.6488421.7837714.191981e-08
0.651.7836974.154700e-08
0.651221.7836194.135118e-08
0.6536071.7834694.096809e-08
0.6560031.7833194.058360e-08
0.6584081.7831714.019770e-08
0.6608211.7830243.981039e-08
0.6632441.7828773.942165e-08
0.6656751.7827323.903150e-08
0.6681151.7825873.863991e-08
0.6705641.7824443.824688e-08
0.6730221.7823013.785242e-08
0.6754891.7821593.745651e-08
0.6779651.7820183.705915e-08
0.680451.7818783.666033e-08
0.6829451.7817393.626005e-08
0.6854481.7816013.585830e-08
0.6879611.7814643.545508e-08
0.6904821.7813283.505038e-08
0.6930131.7811923.464420e-08
0.6955541.7810573.423653e-08
0.6981031.7809233.382737e-08
0.71.7808253.352300e-08
0.7006621.780793.342764e-08
0.7032311.7806583.305790e-08
0.7058091.7805273.268681e-08
0.7083961.7803963.231435e-08
0.7109921.7802673.194053e-08
0.7135991.7801383.156534e-08
0.7162141.7800093.118877e-08
0.718841.7798823.081082e-08
0.7214751.7797553.043149e-08
0.7241191.7796293.005076e-08
0.7267741.7795042.966865e-08
0.7294381.779382.928513e-08
0.7321121.7792562.890020e-08
0.7347951.7791332.851386e-08
0.7374891.7790112.812611e-08
0.7401921.778892.773694e-08
0.7429051.7787692.734633e-08
0.7456291.7786492.695430e-08
0.7483621.7785292.656083e-08
0.7511051.778412.616592e-08
0.7538581.7782922.576956e-08
0.7566221.7781752.537175e-08
0.7593951.7780582.497248e-08
0.7621791.7779422.457174e-08
0.7649731.7778272.416954e-08
0.7677771.7777122.376586e-08
0.7705911.7775972.336071e-08
0.7734161.7774842.295406e-08
0.7762511.7773712.254593e-08
0.7790961.7772592.213630e-08
0.7819521.7771472.172517e-08
0.7848181.7770362.131253e-08
0.7876951.7769252.089838e-08
0.7905831.7768152.048271e-08
0.7934811.7767052.006552e-08
0.7963891.7765971.964680e-08
0.7993091.7764881.922655e-08
0.81.7764631.912700e-08
0.8022381.776381.910771e-08
0.8051791.7762731.908238e-08
0.8081311.7761661.905695e-08
0.8110931.776061.903143e-08
0.8140661.7759551.900582e-08
0.817051.7758491.898011e-08
0.8200451.7757451.895430e-08
0.8230511.7756411.892841e-08
0.8260681.7755371.890241e-08
0.8290961.7754341.887633e-08
0.8321351.7753311.885014e-08
0.8351861.7752291.882386e-08
0.8382471.7751271.879749e-08
0.841321.7750261.877101e-08
0.8444041.7749251.874445e-08
0.8474991.7748251.871778e-08
0.8506061.7747251.869101e-08
0.8537241.7746261.866415e-08
0.8568531.7745271.863719e-08
0.8599941.7744281.861013e-08
0.8631461.774331.858297e-08
0.866311.7742321.855571e-08
0.8694861.7741351.852835e-08
0.8726731.7740381.850089e-08
0.8758721.7739411.847333e-08
0.8790821.7738451.844567e-08
0.8823051.7737491.841791e-08
0.8855391.7736541.839005e-08
0.8887851.7735591.836208e-08
0.8920431.7734641.833401e-08
0.8953131.773371.830584e-08
0.8985951.7732761.827757e-08
0.9018891.7731821.824919e-08
0.9051951.7730891.822071e-08
0.9085131.7729961.819212e-08
0.9118431.7729041.816343e-08
0.9151861.7728121.813463e-08
0.918541.772721.810573e-08
0.9219071.7726281.807672e-08
0.9252871.7725371.804761e-08
0.9286781.7724461.801839e-08
0.9320831.7723551.798906e-08
0.9354991.7722651.795962e-08
0.9389281.7721751.793008e-08
0.942371.7720851.790043e-08
0.9458241.7719951.787067e-08
0.9492911.7719061.784080e-08
0.9527711.7718171.781082e-08
0.9562641.7717281.778073e-08
0.9597691.771641.775053e-08
0.9632871.7715521.772022e-08
0.9668181.7714641.768980e-08
0.9703621.7713761.765926e-08
0.9739191.7712891.762862e-08
0.9774891.7712011.759786e-08
0.9810721.7711141.756699e-08
0.9846681.7710281.753601e-08
0.9882781.7709411.750491e-08
0.9919011.7708551.747370e-08
0.9955361.7707681.744238e-08
0.9991861.7706821.741094e-08
1.002851.7705971.737938e-08
1.006521.7705111.734771e-08
1.010211.7704261.731593e-08
1.013921.770341.728402e-08
1.017631.7702551.725200e-08
1.021361.7701711.721986e-08
1.025111.7700861.718761e-08
1.028871.7700011.715524e-08
1.032641.7699171.712274e-08
1.036421.7698331.709013e-08
1.040221.7697491.705740e-08
1.044031.7696651.702455e-08
1.047861.7695811.699158e-08
1.05171.7694971.695849e-08
1.055561.7694141.692527e-08
1.059431.769331.689194e-08
1.061.7693181.688700e-08
1.063311.7692471.693974e-08
1.067211.7691641.700184e-08
1.071121.7690811.706416e-08
1.075051.7689981.712671e-08
1.078991.7689151.718950e-08
1.082941.7688321.725251e-08
1.086911.7687491.731575e-08
1.09091.7686671.737923e-08
1.094891.7685841.744294e-08
1.098911.7685021.750688e-08
1.102941.7684191.757105e-08
1.106981.7683371.763547e-08
1.111041.7682551.770011e-08
1.115111.7681721.776500e-08
1.11921.768091.783012e-08
1.12331.7680081.789548e-08
1.127421.7679261.796108e-08
1.131551.7678441.802692e-08
1.13571.7677621.809301e-08
1.139861.767681.815933e-08
1.144041.7675981.822590e-08
1.148231.7675161.829271e-08
1.152441.7674341.835977e-08
1.156671.7673521.842707e-08
1.160911.767271.849462e-08
1.165161.7671881.856241e-08
1.169431.7671061.863046e-08
1.173721.7670241.869875e-08
1.178021.7669421.876730e-08
1.182341.766861.883610e-08
1.186671.7667781.890514e-08
1.191021.7666961.897445e-08
1.195391.7666141.904400e-08
1.199771.7665321.911381e-08
1.204171.766451.918388e-08
1.208581.7663671.925420e-08
1.213011.7662851.932478e-08
1.217461.7662031.939562e-08
1.221921.766121.946672e-08
1.22641.7660381.953808e-08
1.23091.7659551.960970e-08
1.235411.7658731.968159e-08
1.239941.765791.975374e-08
1.244481.7657071.982615e-08
1.249041.7656241.989883e-08
1.253621.7655411.997177e-08
1.258221.7654582.004498e-08
1.262831.7653752.011846e-08
1.267461.7652922.019221e-08
1.272111.7652092.026623e-08
1.276771.7651252.034052e-08
1.281451.7650412.041509e-08
1.286151.7649582.048992e-08
1.290861.7648742.056503e-08
1.295591.764792.064042e-08
1.300341.7647052.071608e-08
1.305111.7646212.079202e-08
1.309891.7645372.086824e-08
1.314691.7644522.094474e-08
1.319511.7643672.102151e-08
1.324351.7642822.109857e-08
1.32921.7641972.117592e-08
1.334081.7641122.125354e-08
1.338971.7640262.133145e-08
1.343881.7639412.140965e-08
1.34881.7638552.148813e-08
1.353751.7637692.156690e-08
1.358711.7636822.164596e-08
1.363691.7635962.172531e-08
1.368691.7635092.180495e-08
1.37371.7634222.188488e-08
1.378741.7633352.196510e-08
1.383791.7632482.204562e-08
1.388871.763162.212643e-08
1.393961.7630732.220754e-08
1.399071.7629842.228895e-08
1.40421.7628962.237065e-08
1.409341.7628082.245266e-08
1.414511.7627192.253496e-08
1.419691.762632.261757e-08
1.42491.7625412.270048e-08
1.430121.7624512.278370e-08
1.435361.7623612.286721e-08
1.440621.7622712.295104e-08
1.445911.7621812.303517e-08
1.451211.762092.311961e-08
1.456521.7619992.320436e-08
1.461861.7619082.328942e-08
1.467221.7618162.337480e-08
1.47261.7617242.346048e-08
1.4781.7616322.354648e-08
1.483421.7615392.363280e-08
1.488851.7614472.371943e-08
1.494311.7613532.380638e-08
1.499791.761262.389365e-08
1.51.7612562.389700e-08
1.505291.7611662.911770e-08
1.51081.7610723.456624e-08
1.516341.7609774.003474e-08
1.52191.7608824.552329e-08
1.527481.7607875.103196e-08
1.533081.7606925.656082e-08
1.53871.7605966.210995e-08
1.544341.7604996.767942e-08
1.551.7604027.326930e-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
—