Optical constants

Refractive index of K-LaSFn1 (SUMITA)

K-LaSFn1: 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
1.8061
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.26201
Permittivity ε2
3.38151e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
40.733
Chromatic dispersion dn/dλ
-0.101124 µm⁻¹
Group index ng
1.86552
Group velocity dispersion
189.536 fs²/mm
Dispersion parameter D
-1034.02 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-LaSFn1 (SUMITA): K-LaSFn1
sumita_k_lasfn1 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-LaSFn1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_lasfn1.range_nm)  # (360, 1550) nm
eps = sumita_k_lasfn1.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=3.1704478−0.012872124⁢λ2.0+0.030711328⁢λ−2.0+0.00091467552⁢λ−4.0−4.2179151×10-5⁢λ−6.0+5.885503×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.1704478
C2-0.012872124
C32.0
C40.030711328
C5-2.0
C60.00091467552
C7-4.0
C8-4.2179151e-05
C9-6.0
C105.885503e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 6.7e-07 1.3e-08 -3.16e-10 7.17e-07 7.77e-10 0.224
nd
1.80610
Vd
40.7
glass code
806407
density
value: 4170
thermal expansion
value: 6.7e-06, temperature range: 243 343; value: 8e-06, temperature range: 293 573
dPgF
-0.0087
resistance
acid: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.69e-06 K⁻¹ at 633 nm, dn/dT = 6.70e-07 K⁻¹ at 1310 nm, dn/dT = 5.91e-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-LaSFn1 (SUMITA), K-LaSFn1: n and k versus wavelength
λ (µm)nk
0.361.8605628.089100e-07
0.361321.8598337.685230e-07
0.3626441.8591137.279879e-07
0.3639731.85846.873043e-07
0.3653081.8576966.464715e-07
0.3666471.8576.054891e-07
0.3679911.8563115.643564e-07
0.369341.855635.230730e-07
0.371.8553015.028600e-07
0.3706931.8549574.905499e-07
0.3720521.8542914.664268e-07
0.3734161.8536334.422152e-07
0.3747851.8529824.179149e-07
0.3761591.8523383.935256e-07
0.3775371.85173.690468e-07
0.3789211.851073.444783e-07
0.381.8505853.253300e-07
0.380311.8504473.220160e-07
0.3817041.849833.071315e-07
0.3831041.849222.921925e-07
0.3845081.8486162.771986e-07
0.3859171.8480192.621499e-07
0.3873321.8474272.470459e-07
0.3887521.8468422.318866e-07
0.391.8463352.185600e-07
0.3901771.8462642.174639e-07
0.3916071.8456912.085992e-07
0.3930431.8451241.997021e-07
0.3944831.8445621.907724e-07
0.3959291.8440071.818099e-07
0.3973811.8434571.728146e-07
0.3988371.8429131.637864e-07
0.41.8424841.565800e-07
0.4002991.8423741.556572e-07
0.4017671.8418411.511333e-07
0.4032391.8413131.465927e-07
0.4047171.840791.420355e-07
0.4062011.8402721.374616e-07
0.407691.839761.328710e-07
0.4091841.8392521.282635e-07
0.4106841.838751.236391e-07
0.412191.8382521.189978e-07
0.4137011.8377591.143394e-07
0.4152171.8372721.096640e-07
0.4167391.8367881.049715e-07
0.4182671.836311.002617e-07
0.41981.8358359.553467e-08
0.421.8357749.491800e-08
0.4213391.8353669.353869e-08
0.4228831.8349019.194751e-08
0.4244331.834449.035049e-08
0.4259891.8339848.874762e-08
0.4275511.8335328.713887e-08
0.4291181.8330848.552422e-08
0.4306911.832648.390366e-08
0.432271.8322018.227716e-08
0.4338541.8317658.064469e-08
0.4354451.8313347.900624e-08
0.4370411.8309067.736178e-08
0.4386431.8304837.571130e-08
0.441.8301287.431300e-08
0.4402511.8300637.407502e-08
0.4418641.8296477.254280e-08
0.4434841.8292357.100498e-08
0.445111.8288276.946151e-08
0.4467411.8284226.791239e-08
0.4483791.8280216.635758e-08
0.4500231.8276246.479708e-08
0.4516721.827236.323086e-08
0.4533281.826846.165890e-08
0.454991.8264536.008117e-08
0.4566571.8260695.849767e-08
0.4583311.8256895.690835e-08
0.461.8253155.532400e-08
0.4600111.8253125.531219e-08
0.4616981.8249395.355928e-08
0.463391.8245695.179994e-08
0.4650891.8242025.003415e-08
0.4667931.8238384.826189e-08
0.4685051.8234784.648313e-08
0.4702221.8231214.469785e-08
0.4719461.8227664.290603e-08
0.4736751.8224154.110763e-08
0.4754121.8220673.930265e-08
0.4771541.8217213.749105e-08
0.4789041.8213793.567281e-08
0.481.8211673.453300e-08
0.4806591.821043.418411e-08
0.4824211.8207033.325136e-08
0.4841891.820373.231518e-08
0.4859641.8200393.137557e-08
0.4877461.8197113.043252e-08
0.4895331.8193862.948602e-08
0.4913281.8190632.853604e-08
0.4931291.8187432.758258e-08
0.4949361.8184262.662563e-08
0.4967511.8181122.566516e-08
0.4985721.81782.470118e-08
0.51.8175582.394500e-08
0.5003991.8174912.382378e-08
0.5022331.8171842.326680e-08
0.5040741.816882.270777e-08
0.5059221.8165782.214670e-08
0.5077771.8162792.158357e-08
0.5096381.8159822.101837e-08
0.5115061.8156882.045110e-08
0.5133811.8153961.988176e-08
0.5152631.8151071.931032e-08
0.5171521.814821.873680e-08
0.5190471.8145351.816117e-08
0.520951.8142521.758343e-08
0.522861.8139721.700357e-08
0.5247761.8136941.642158e-08
0.52671.8134181.583747e-08
0.5286311.8131451.525121e-08
0.5305681.8128741.466280e-08
0.5325131.8126051.407224e-08
0.5344651.8123381.347951e-08
0.5364241.8120731.288460e-08
0.5383911.811811.228752e-08
0.5403641.8115491.168825e-08
0.5423451.8112911.108678e-08
0.5443331.8110341.048311e-08
0.5463281.810789.877226e-09
0.5483311.8105279.269119e-09
0.551.8103198.762300e-09
0.5503411.8102768.767731e-09
0.5523581.8100288.799871e-09
0.5543831.8097818.832130e-09
0.5564151.8095368.864506e-09
0.5584551.8092948.897001e-09
0.5605021.8090538.929615e-09
0.5625561.8088148.962348e-09
0.5646191.8085768.995202e-09
0.5666881.8083419.028176e-09
0.5687651.8081079.061271e-09
0.570851.8078759.094487e-09
0.5729431.8076459.127825e-09
0.5750431.8074179.161285e-09
0.5771511.8071919.194868e-09
0.5792671.8069669.228574e-09
0.581391.8067439.262404e-09
0.5835211.8065219.296357e-09
0.585661.8063029.330435e-09
0.5878071.8060839.364638e-09
0.5899611.8058679.398966e-09
0.5921241.8056529.433420e-09
0.5942951.8054399.468001e-09
0.5964731.8052279.502708e-09
0.5986591.8050179.537542e-09
0.61.804899.558900e-09
0.6008541.8048099.572496e-09
0.6030561.8046029.607564e-09
0.6052671.8043979.642761e-09
0.6074861.8041939.678087e-09
0.6097121.803999.713542e-09
0.6119471.803799.749127e-09
0.6141911.803599.784843e-09
0.6164421.8033929.820689e-09
0.6187021.8031969.856667e-09
0.620971.8030019.892777e-09
0.6232461.8028079.929019e-09
0.625531.8026159.965394e-09
0.6278231.8024241.000190e-08
0.6301251.8022341.003854e-08
0.6324341.8020461.007532e-08
0.6347531.801861.011223e-08
0.6370791.8016741.014928e-08
0.6394151.801491.018646e-08
0.6417591.8013071.022378e-08
0.6441111.8011261.026124e-08
0.6464721.8009461.029883e-08
0.6488421.8007671.033656e-08
0.651.800681.035500e-08
0.651221.8005891.037445e-08
0.6536071.8004131.041250e-08
0.6560031.8002371.045069e-08
0.6584081.8000641.048902e-08
0.6608211.7998911.052749e-08
0.6632441.7997191.056610e-08
0.6656751.7995491.060486e-08
0.6681151.799381.064375e-08
0.6705641.7992121.068279e-08
0.6730221.7990451.072197e-08
0.6754891.7988791.076130e-08
0.6779651.7987151.080077e-08
0.680451.7985511.084038e-08
0.6829451.7983891.088014e-08
0.6854481.7982281.092004e-08
0.6879611.7980681.096009e-08
0.6904821.7979091.100029e-08
0.6930131.7977511.104063e-08
0.6955541.7975941.108113e-08
0.6981031.7974381.112177e-08
0.71.7973231.115200e-08
0.7006621.7972831.116255e-08
0.7032311.7971291.120347e-08
0.7058091.7969761.124453e-08
0.7083961.7968251.128574e-08
0.7109921.7966741.132711e-08
0.7135991.7965241.136863e-08
0.7162141.7963751.141030e-08
0.718841.7962271.145212e-08
0.7214751.796081.149409e-08
0.7241191.7959351.153622e-08
0.7267741.795791.157851e-08
0.7294381.7956451.162095e-08
0.7321121.7955021.166354e-08
0.7347951.795361.170629e-08
0.7374891.7952191.174920e-08
0.7401921.7950781.179226e-08
0.7429051.7949391.183548e-08
0.7456291.79481.187886e-08
0.7483621.7946621.192240e-08
0.7511051.7945251.196610e-08
0.7538581.7943891.200996e-08
0.7566221.7942541.205398e-08
0.7593951.7941191.209816e-08
0.7621791.7939861.214251e-08
0.7649731.7938531.218701e-08
0.7677771.7937211.223168e-08
0.7705911.7935891.227652e-08
0.7734161.7934591.232151e-08
0.7762511.7933291.236668e-08
0.7790961.79321.241200e-08
0.7819521.7930721.245750e-08
0.7848181.7929451.250316e-08
0.7876951.7928181.254899e-08
0.7905831.7926921.259498e-08
0.7934811.7925671.264115e-08
0.7963891.7924431.268748e-08
0.7993091.7923191.273398e-08
0.81.792291.274500e-08
0.8022381.7921961.278066e-08
0.8051791.7920741.282751e-08
0.8081311.7919521.287453e-08
0.8110931.7918311.292172e-08
0.8140661.7917111.296908e-08
0.817051.7915911.301662e-08
0.8200451.7914721.306433e-08
0.8230511.7913541.311222e-08
0.8260681.7912371.316028e-08
0.8290961.791121.320852e-08
0.8321351.7910031.325694e-08
0.8351861.7908871.330553e-08
0.8382471.7907721.335431e-08
0.841321.7906581.340326e-08
0.8444041.7905441.345239e-08
0.8474991.7904311.350169e-08
0.8506061.7903181.355119e-08
0.8537241.7902061.360086e-08
0.8568531.7900941.365071e-08
0.8599941.7899831.370075e-08
0.8631461.7898731.375097e-08
0.866311.7897631.380137e-08
0.8694861.7896541.385196e-08
0.8726731.7895451.390274e-08
0.8758721.7894371.395370e-08
0.8790821.7893291.400484e-08
0.8823051.7892221.405618e-08
0.8855391.7891151.410770e-08
0.8887851.7890091.415941e-08
0.8920431.7889031.421132e-08
0.8953131.7887981.426341e-08
0.8985951.7886931.431569e-08
0.9018891.7885891.436817e-08
0.9051951.7884861.442083e-08
0.9085131.7883821.447369e-08
0.9118431.788281.452675e-08
0.9151861.7881771.457999e-08
0.918541.7880751.463344e-08
0.9219071.7879741.468708e-08
0.9252871.7878731.474091e-08
0.9286781.7877731.479494e-08
0.9320831.7876721.484918e-08
0.9354991.7875731.490361e-08
0.9389281.7874731.495824e-08
0.942371.7873751.501307e-08
0.9458241.7872761.506810e-08
0.9492911.7871781.512333e-08
0.9527711.787081.517876e-08
0.9562641.7869831.523440e-08
0.9597691.7868861.529024e-08
0.9632871.786791.534629e-08
0.9668181.7866941.540254e-08
0.9703621.7865981.545900e-08
0.9739191.7865021.551567e-08
0.9774891.7864071.557254e-08
0.9810721.7863131.562962e-08
0.9846681.7862181.568691e-08
0.9882781.7861241.574441e-08
0.9919011.7860311.580212e-08
0.9955361.7859371.586005e-08
0.9991861.7858441.591818e-08
1.002851.7857511.597653e-08
1.006521.7856591.603509e-08
1.010211.7855671.609387e-08
1.013921.7854751.615286e-08
1.017631.7853831.621207e-08
1.021361.7852921.627150e-08
1.025111.7852011.633114e-08
1.028871.785111.639100e-08
1.032641.785021.645108e-08
1.036421.784931.651139e-08
1.040221.784841.657191e-08
1.044031.784751.663265e-08
1.047861.7846611.669362e-08
1.05171.7845721.675481e-08
1.055561.7844831.681623e-08
1.059431.7843941.687787e-08
1.061.7843811.688700e-08
1.063311.7843061.693974e-08
1.067211.7842181.700184e-08
1.071121.784131.706416e-08
1.075051.7840421.712671e-08
1.078991.7839541.718950e-08
1.082941.7838671.725251e-08
1.086911.783781.731575e-08
1.09091.7836931.737923e-08
1.094891.7836061.744294e-08
1.098911.7835191.750688e-08
1.102941.7834331.757105e-08
1.106981.7833471.763547e-08
1.111041.7832611.770011e-08
1.115111.7831751.776500e-08
1.11921.7830891.783012e-08
1.12331.7830031.789548e-08
1.127421.7829181.796108e-08
1.131551.7828331.802692e-08
1.13571.7827471.809301e-08
1.139861.7826621.815933e-08
1.144041.7825771.822590e-08
1.148231.7824931.829271e-08
1.152441.7824081.835977e-08
1.156671.7823231.842707e-08
1.160911.7822391.849462e-08
1.165161.7821551.856241e-08
1.169431.7820711.863046e-08
1.173721.7819861.869875e-08
1.178021.7819021.876730e-08
1.182341.7818181.883610e-08
1.186671.7817351.890514e-08
1.191021.7816511.897445e-08
1.195391.7815671.904400e-08
1.199771.7814831.911381e-08
1.204171.78141.918388e-08
1.208581.7813161.925420e-08
1.213011.7812331.932478e-08
1.217461.7811491.939562e-08
1.221921.7810661.946672e-08
1.22641.7809831.953808e-08
1.23091.7808991.960970e-08
1.235411.7808161.968159e-08
1.239941.7807331.975374e-08
1.244481.780651.982615e-08
1.249041.7805661.989883e-08
1.253621.7804831.997177e-08
1.258221.78042.004498e-08
1.262831.7803172.011846e-08
1.267461.7802342.019221e-08
1.272111.780152.026623e-08
1.276771.7800672.034052e-08
1.281451.7799842.041509e-08
1.286151.7799012.048992e-08
1.290861.7798182.056503e-08
1.295591.7797342.064042e-08
1.300341.7796512.071608e-08
1.305111.7795672.079202e-08
1.309891.7794842.086824e-08
1.314691.7794012.094474e-08
1.319511.7793172.102151e-08
1.324351.7792332.109857e-08
1.32921.779152.117592e-08
1.334081.7790662.125354e-08
1.338971.7789822.133145e-08
1.343881.7788982.140965e-08
1.34881.7788152.148813e-08
1.353751.778732.156690e-08
1.358711.7786462.164596e-08
1.363691.7785622.172531e-08
1.368691.7784782.180495e-08
1.37371.7783932.188488e-08
1.378741.7783092.196510e-08
1.383791.7782242.204562e-08
1.388871.7781392.212643e-08
1.393961.7780552.220754e-08
1.399071.7779692.228895e-08
1.40421.7778842.237065e-08
1.409341.7777992.245266e-08
1.414511.7777142.253496e-08
1.419691.7776282.261757e-08
1.42491.7775422.270048e-08
1.430121.7774562.278370e-08
1.435361.777372.286721e-08
1.440621.7772842.295104e-08
1.445911.7771982.303517e-08
1.451211.7771112.311961e-08
1.456521.7770242.320436e-08
1.461861.7769372.328942e-08
1.467221.776852.337480e-08
1.47261.7767632.346048e-08
1.4781.7766752.354648e-08
1.483421.7765882.363280e-08
1.488851.77652.371943e-08
1.494311.7764122.380638e-08
1.499791.7763232.389365e-08
1.51.776322.389700e-08
1.505291.7762352.618782e-08
1.51081.7761462.857860e-08
1.516341.7760573.097815e-08
1.52191.7759673.338650e-08
1.527481.7758783.580367e-08
1.533081.7757883.822971e-08
1.53871.7756984.066464e-08
1.544341.7756084.310849e-08
1.551.7755174.556130e-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
—