Optical constants

Refractive index of K-VC99 (SUMITA)

K-VC99: 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
1.8506
Extinction coefficient k
2.34385e-08
Permittivity ε1
3.42471
Permittivity ε2
8.67503e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
41.622
Chromatic dispersion dn/dλ
-0.104488 µm⁻¹
Group index ng
1.91199
Group velocity dispersion
195.312 fs²/mm
Dispersion parameter D
-1065.53 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-VC99 (SUMITA): K-VC99
sumita_k_vc99 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-VC99", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_vc99.range_nm)  # (360, 1550) nm
eps = sumita_k_vc99.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=3.3294765−0.015324675⁢λ2.0+0.031941277⁢λ−2.0+0.0010078745⁢λ−4.0−2.8400554×10-5⁢λ−6.0+3.488686×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.3294765
C2-0.015324675
C32.0
C40.031941277
C5-2.0
C60.0010078745
C7-4.0
C8-2.8400554e-05
C9-6.0
C103.488686e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.51e-06 1.51e-08 -2.57e-10 7.41e-07 8.37e-10 0.205
nd
1.85060
Vd
41.6
glass code
851416
density
value: 5150
thermal expansion
value: 6e-06, temperature range: 243 343; value: 7.3e-06, temperature range: 293 573
dPgF
-0.0102
resistance
acid: 2.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.29e-06 K⁻¹ at 633 nm, dn/dT = 3.15e-06 K⁻¹ at 1310 nm, dn/dT = 3.06e-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-VC99 (SUMITA), K-VC99: n and k versus wavelength
λ (µm)nk
0.361.9061169.771300e-07
0.361321.9053929.276693e-07
0.3626441.9046778.780272e-07
0.3639731.9039688.282032e-07
0.3653081.9032677.781966e-07
0.3666471.9025747.280067e-07
0.3679911.9018876.776328e-07
0.369341.9012076.270742e-07
0.371.9008786.023200e-07
0.3706931.9005355.864083e-07
0.3720521.8998695.552275e-07
0.3734161.899215.239324e-07
0.3747851.8985574.925225e-07
0.3761591.8979124.609976e-07
0.3775371.8972724.293570e-07
0.3789211.8966393.976005e-07
0.381.8961523.728500e-07
0.380311.8960123.691002e-07
0.3817041.8953923.522585e-07
0.3831041.8947783.353549e-07
0.3845081.8941693.183895e-07
0.3859171.8935673.013618e-07
0.3873321.892972.842717e-07
0.3887521.892382.671190e-07
0.391.8918672.520400e-07
0.3901771.8917952.507672e-07
0.3916071.8912162.404737e-07
0.3930431.8906422.301426e-07
0.3944831.8900742.197736e-07
0.3959291.8895112.093665e-07
0.3973811.8889541.989214e-07
0.3988371.8884021.884379e-07
0.41.8879661.800700e-07
0.4002991.8878551.791573e-07
0.4017671.8873141.746826e-07
0.4032391.8867771.701916e-07
0.4047171.8862461.656841e-07
0.4062011.8857191.611600e-07
0.407691.8851981.566194e-07
0.4091841.8846811.520621e-07
0.4106841.8841691.474881e-07
0.412191.8836621.428974e-07
0.4137011.883161.382898e-07
0.4152171.8826621.336653e-07
0.4167391.8821691.290239e-07
0.4182671.8816811.243655e-07
0.41981.8811971.196900e-07
0.421.8811341.190800e-07
0.4213391.8807171.168026e-07
0.4228831.8802421.141754e-07
0.4244331.8797711.115386e-07
0.4259891.8793041.088921e-07
0.4275511.8788421.062358e-07
0.4291181.8783831.035699e-07
0.4306911.8779291.008942e-07
0.432271.8774799.820865e-08
0.4338541.8770339.551328e-08
0.4354451.8765919.280803e-08
0.4370411.8761539.009286e-08
0.4386431.8757188.736774e-08
0.441.8753558.505900e-08
0.4402511.8752888.487303e-08
0.4418641.8748618.367568e-08
0.4434841.8744398.247394e-08
0.445111.8740198.126779e-08
0.4467411.8736048.005723e-08
0.4483791.8731927.884222e-08
0.4500231.8727847.762276e-08
0.4516721.8723797.639884e-08
0.4533281.8719787.517042e-08
0.454991.8715817.393751e-08
0.4566571.8711877.270007e-08
0.4583311.8707967.145810e-08
0.461.8704117.022000e-08
0.4600111.8704087.020851e-08
0.4616981.8700246.850221e-08
0.463391.8696446.678967e-08
0.4650891.8692666.507085e-08
0.4667931.8688926.334572e-08
0.4685051.8685216.161428e-08
0.4702221.8681535.987648e-08
0.4719461.8677885.813232e-08
0.4736751.8674275.638176e-08
0.4754121.8670685.462479e-08
0.4771541.8667125.286137e-08
0.4789041.866365.109150e-08
0.481.8661414.998200e-08
0.4806591.866014.952035e-08
0.4824211.8656644.828613e-08
0.4841891.865324.704739e-08
0.4859641.8649794.580411e-08
0.4877461.8646414.455627e-08
0.4895331.8643064.330385e-08
0.4913281.8639734.204684e-08
0.4931291.8636434.078523e-08
0.4949361.8633163.951899e-08
0.4967511.8629923.824811e-08
0.4985721.8626713.697258e-08
0.51.8624213.597200e-08
0.5003991.8623523.585996e-08
0.5022331.8620353.534515e-08
0.5040741.8617223.482846e-08
0.5059221.861413.430987e-08
0.5077771.8611023.378939e-08
0.5096381.8607963.326699e-08
0.5115061.8604923.274268e-08
0.5133811.8601913.221644e-08
0.5152631.8598923.168828e-08
0.5171521.8595963.115818e-08
0.5190471.8593023.062614e-08
0.520951.859013.009215e-08
0.522861.8587212.955620e-08
0.5247761.8584342.901829e-08
0.52671.858152.847840e-08
0.5286311.8578672.793654e-08
0.5305681.8575872.739269e-08
0.5325131.8573092.684684e-08
0.5344651.8570342.629900e-08
0.5364241.856762.574915e-08
0.5383911.8564892.519728e-08
0.5403641.856222.464339e-08
0.5423451.8559532.408746e-08
0.5443331.8556882.352950e-08
0.5463281.8554252.296950e-08
0.5483311.8551642.240744e-08
0.551.8549492.193900e-08
0.5503411.8549062.195260e-08
0.5523581.8546492.203305e-08
0.5543831.8543942.211379e-08
0.5564151.8541412.219484e-08
0.5584551.853892.227617e-08
0.5605021.8536422.235781e-08
0.5625561.8533952.243975e-08
0.5646191.853152.252199e-08
0.5666881.8529062.260452e-08
0.5687651.8526652.268737e-08
0.570851.8524262.277051e-08
0.5729431.8521882.285396e-08
0.5750431.8519522.293772e-08
0.5771511.8517182.302178e-08
0.5792671.8514862.310615e-08
0.581391.8512552.319083e-08
0.5835211.8510272.327582e-08
0.585661.85082.336112e-08
0.5878071.8505742.344674e-08
0.5899611.8503512.353266e-08
0.5921241.8501292.361891e-08
0.5942951.8499082.370547e-08
0.5964731.849692.379234e-08
0.5986591.8494732.387954e-08
0.61.8493412.393300e-08
0.6008541.8492572.405589e-08
0.6030561.8490432.437288e-08
0.6052671.8488312.469102e-08
0.6074861.848622.501033e-08
0.6097121.8484112.533082e-08
0.6119471.8482042.565247e-08
0.6141911.8479972.597531e-08
0.6164421.8477932.629933e-08
0.6187021.847592.662454e-08
0.620971.8473882.695094e-08
0.6232461.8471882.727853e-08
0.625531.8469892.760733e-08
0.6278231.8467922.793733e-08
0.6301251.8465962.826854e-08
0.6324341.8464012.860097e-08
0.6347531.8462082.893461e-08
0.6370791.8460172.926948e-08
0.6394151.8458262.960557e-08
0.6417591.8456372.994290e-08
0.6441111.8454493.028146e-08
0.6464721.8452633.062127e-08
0.6488421.8450783.096232e-08
0.651.8449883.112900e-08
0.651221.8448943.118743e-08
0.6536071.8447123.130172e-08
0.6560031.844533.141643e-08
0.6584081.8443513.153157e-08
0.6608211.8441723.164713e-08
0.6632441.8439943.176311e-08
0.6656751.8438183.187951e-08
0.6681151.8436433.199635e-08
0.6705641.8434693.211361e-08
0.6730221.8432963.223130e-08
0.6754891.8431253.234942e-08
0.6779651.8429553.246797e-08
0.680451.8427853.258696e-08
0.6829451.8426173.270639e-08
0.6854481.842453.282625e-08
0.6879611.8422853.294655e-08
0.6904821.842123.306730e-08
0.6930131.8419563.318848e-08
0.6955541.8417943.331011e-08
0.6981031.8416323.343219e-08
0.71.8415133.352300e-08
0.7006621.8414723.338537e-08
0.7032311.8413123.285172e-08
0.7058091.8411543.231611e-08
0.7083961.8409973.177853e-08
0.7109921.840843.123899e-08
0.7135991.8406853.069747e-08
0.7162141.8405313.015396e-08
0.718841.8403782.960846e-08
0.7214751.8402252.906097e-08
0.7241191.8400742.851146e-08
0.7267741.8399242.795994e-08
0.7294381.8397742.740640e-08
0.7321121.8396262.685083e-08
0.7347951.8394782.629322e-08
0.7374891.8393312.573357e-08
0.7401921.8391852.517187e-08
0.7429051.8390412.460811e-08
0.7456291.8388972.404228e-08
0.7483621.8387542.347438e-08
0.7511051.8386112.290440e-08
0.7538581.838472.233233e-08
0.7566221.8383292.175816e-08
0.7593951.838192.118188e-08
0.7621791.8380512.060349e-08
0.7649731.8379132.002299e-08
0.7677771.8377761.944035e-08
0.7705911.8376391.885558e-08
0.7734161.8375041.826867e-08
0.7762511.8373691.767960e-08
0.7790961.8372351.708838e-08
0.7819521.8371011.649499e-08
0.7848181.8369691.589942e-08
0.7876951.8368371.530167e-08
0.7905831.8367061.470173e-08
0.7934811.8365761.409959e-08
0.7963891.8364461.349524e-08
0.7993091.8363171.288868e-08
0.81.8362871.274500e-08
0.8022381.8361891.278066e-08
0.8051791.8360621.282751e-08
0.8081311.8359351.287453e-08
0.8110931.8358091.292172e-08
0.8140661.8356841.296908e-08
0.817051.8355591.301662e-08
0.8200451.8354351.306433e-08
0.8230511.8353121.311222e-08
0.8260681.8351891.316028e-08
0.8290961.8350671.320852e-08
0.8321351.8349451.325694e-08
0.8351861.8348251.330553e-08
0.8382471.8347041.335431e-08
0.841321.8345851.340326e-08
0.8444041.8344661.345239e-08
0.8474991.8343471.350169e-08
0.8506061.834231.355119e-08
0.8537241.8341121.360086e-08
0.8568531.8339961.365071e-08
0.8599941.833881.370075e-08
0.8631461.8337641.375097e-08
0.866311.8336491.380137e-08
0.8694861.8335351.385196e-08
0.8726731.8334211.390274e-08
0.8758721.8333071.395370e-08
0.8790821.8331951.400484e-08
0.8823051.8330821.405618e-08
0.8855391.832971.410770e-08
0.8887851.8328591.415941e-08
0.8920431.8327481.421132e-08
0.8953131.8326381.426341e-08
0.8985951.8325281.431569e-08
0.9018891.8324191.436817e-08
0.9051951.832311.442083e-08
0.9085131.8322011.447369e-08
0.9118431.8320931.452675e-08
0.9151861.8319861.457999e-08
0.918541.8318791.463344e-08
0.9219071.8317721.468708e-08
0.9252871.8316661.474091e-08
0.9286781.831561.479494e-08
0.9320831.8314551.484918e-08
0.9354991.831351.490361e-08
0.9389281.8312451.495824e-08
0.942371.8311411.501307e-08
0.9458241.8310371.506810e-08
0.9492911.8309341.512333e-08
0.9527711.8308311.517876e-08
0.9562641.8307281.523440e-08
0.9597691.8306261.529024e-08
0.9632871.8305241.534629e-08
0.9668181.8304231.540254e-08
0.9703621.8303211.545900e-08
0.9739191.830221.551567e-08
0.9774891.830121.557254e-08
0.9810721.830021.562962e-08
0.9846681.829921.568691e-08
0.9882781.829821.574441e-08
0.9919011.8297211.580212e-08
0.9955361.8296221.586005e-08
0.9991861.8295241.591818e-08
1.002851.8294251.597653e-08
1.006521.8293271.603509e-08
1.010211.8292291.609387e-08
1.013921.8291321.615286e-08
1.017631.8290351.621207e-08
1.021361.8289381.627150e-08
1.025111.8288411.633114e-08
1.028871.8287451.639100e-08
1.032641.8286481.645108e-08
1.036421.8285521.651139e-08
1.040221.8284571.657191e-08
1.044031.8283611.663265e-08
1.047861.8282661.669362e-08
1.05171.8281711.675481e-08
1.055561.8280761.681623e-08
1.059431.8279821.687787e-08
1.061.8279681.688700e-08
1.063311.8278871.693974e-08
1.067211.8277931.700184e-08
1.071121.8276991.706416e-08
1.075051.8276051.712671e-08
1.078991.8275121.718950e-08
1.082941.8274181.725251e-08
1.086911.8273251.731575e-08
1.09091.8272321.737923e-08
1.094891.8271391.744294e-08
1.098911.8270461.750688e-08
1.102941.8269531.757105e-08
1.106981.8268611.763547e-08
1.111041.8267691.770011e-08
1.115111.8266761.776500e-08
1.11921.8265841.783012e-08
1.12331.8264921.789548e-08
1.127421.82641.796108e-08
1.131551.8263091.802692e-08
1.13571.8262171.809301e-08
1.139861.8261261.815933e-08
1.144041.8260341.822590e-08
1.148231.8259431.829271e-08
1.152441.8258521.835977e-08
1.156671.825761.842707e-08
1.160911.8256691.849462e-08
1.165161.8255781.856241e-08
1.169431.8254871.863046e-08
1.173721.8253961.869875e-08
1.178021.8253061.876730e-08
1.182341.8252151.883610e-08
1.186671.8251241.890514e-08
1.191021.8250331.897445e-08
1.195391.8249431.904400e-08
1.199771.8248521.911381e-08
1.204171.8247611.918388e-08
1.208581.8246711.925420e-08
1.213011.824581.932478e-08
1.217461.824491.939562e-08
1.221921.8243991.946672e-08
1.22641.8243091.953808e-08
1.23091.8242181.960970e-08
1.235411.8241271.968159e-08
1.239941.8240371.975374e-08
1.244481.8239461.982615e-08
1.249041.8238561.989883e-08
1.253621.8237651.997177e-08
1.258221.8236742.004498e-08
1.262831.8235832.011846e-08
1.267461.8234932.019221e-08
1.272111.8234022.026623e-08
1.276771.8233112.034052e-08
1.281451.823222.041509e-08
1.286151.8231292.048992e-08
1.290861.8230382.056503e-08
1.295591.8229472.064042e-08
1.300341.8228552.071608e-08
1.305111.8227642.079202e-08
1.309891.8226732.086824e-08
1.314691.8225812.094474e-08
1.319511.8224892.102151e-08
1.324351.8223982.109857e-08
1.32921.8223062.117592e-08
1.334081.8222142.125354e-08
1.338971.8221222.133145e-08
1.343881.8220292.140965e-08
1.34881.8219372.148813e-08
1.353751.8218442.156690e-08
1.358711.8217522.164596e-08
1.363691.8216592.172531e-08
1.368691.8215662.180495e-08
1.37371.8214732.188488e-08
1.378741.821382.196510e-08
1.383791.8212862.204562e-08
1.388871.8211922.212643e-08
1.393961.8210992.220754e-08
1.399071.8210052.228895e-08
1.40421.820912.237065e-08
1.409341.8208162.245266e-08
1.414511.8207212.253496e-08
1.419691.8206272.261757e-08
1.42491.8205322.270048e-08
1.430121.8204362.278370e-08
1.435361.8203412.286721e-08
1.440621.8202452.295104e-08
1.445911.8201492.303517e-08
1.451211.8200532.311961e-08
1.456521.8199572.320436e-08
1.461861.819862.328942e-08
1.467221.8197632.337480e-08
1.47261.8196662.346048e-08
1.4781.8195692.354648e-08
1.483421.8194712.363280e-08
1.488851.8193732.371943e-08
1.494311.8192752.380638e-08
1.499791.8191762.389365e-08
1.51.8191732.389700e-08
1.505291.8190782.825073e-08
1.51081.8189783.279445e-08
1.516341.8188793.735483e-08
1.52191.8187794.193192e-08
1.527481.8186794.652580e-08
1.533081.8185795.113651e-08
1.53871.8184785.576412e-08
1.544341.8183776.040870e-08
1.551.8182766.507030e-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
—