Optical constants

Refractive index of K-VC99(M) (SUMITA)

K-VC99(M): 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
1.84603
Extinction coefficient k
2.34385e-08
Permittivity ε1
3.40784
Permittivity ε2
8.65365e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
41.465
Chromatic dispersion dn/dλ
-0.104313 µm⁻¹
Group index ng
1.90733
Group velocity dispersion
195.052 fs²/mm
Dispersion parameter D
-1064.11 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(M) (SUMITA): K-VC99(M)
sumita_k_vc99_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-VC99(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_vc99_m.range_nm)  # (360, 1550) nm
eps = sumita_k_vc99_m.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=3.3130252−0.01525551⁢λ2.0+0.031799975⁢λ−2.0+0.0010027504⁢λ−4.0−2.7509191×10-5⁢λ−6.0+3.4290858×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.3130252
C2-0.01525551
C32.0
C40.031799975
C5-2.0
C60.0010027504
C7-4.0
C8-2.7509191e-05
C9-6.0
C103.4290858e-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
1.84604
Vd
41.5
glass code
851416
density
value: 5150
thermal expansion
value: 6e-06, temperature range: 243 343; value: 7.3e-06, temperature range: 293 573
dPgF
-0.0094
resistance
acid: 2.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.27e-06 K⁻¹ at 633 nm, dn/dT = 3.14e-06 K⁻¹ at 1310 nm, dn/dT = 3.04e-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(M) (SUMITA), K-VC99(M): n and k versus wavelength
λ (µm)nk
0.361.9014839.771300e-07
0.361321.900769.276693e-07
0.3626441.9000458.780272e-07
0.3639731.8993388.282032e-07
0.3653081.8986387.781966e-07
0.3666471.8979457.280067e-07
0.3679911.8972596.776328e-07
0.369341.896586.270742e-07
0.371.8962516.023200e-07
0.3706931.8959085.864083e-07
0.3720521.8952435.552275e-07
0.3734161.8945855.239324e-07
0.3747851.8939334.925225e-07
0.3761591.8932884.609976e-07
0.3775371.8926494.293570e-07
0.3789211.8920173.976005e-07
0.381.891533.728500e-07
0.380311.8913913.691002e-07
0.3817041.8907713.522585e-07
0.3831041.8901573.353549e-07
0.3845081.8895493.183895e-07
0.3859171.8889483.013618e-07
0.3873321.8883522.842717e-07
0.3887521.8877622.671190e-07
0.391.887252.520400e-07
0.3901771.8871782.507672e-07
0.3916071.8865992.404737e-07
0.3930431.8860262.301426e-07
0.3944831.8854582.197736e-07
0.3959291.8848962.093665e-07
0.3973811.884341.989214e-07
0.3988371.8837881.884379e-07
0.41.8833531.800700e-07
0.4002991.8832421.791573e-07
0.4017671.8827011.746826e-07
0.4032391.8821661.701916e-07
0.4047171.8816351.656841e-07
0.4062011.8811091.611600e-07
0.407691.8805881.566194e-07
0.4091841.8800721.520621e-07
0.4106841.8795611.474881e-07
0.412191.8790541.428974e-07
0.4137011.8785531.382898e-07
0.4152171.8780561.336653e-07
0.4167391.8775631.290239e-07
0.4182671.8770751.243655e-07
0.41981.8765921.196900e-07
0.421.8765291.190800e-07
0.4213391.8761131.168026e-07
0.4228831.8756381.141754e-07
0.4244331.8751671.115386e-07
0.4259891.8747011.088921e-07
0.4275511.8742391.062358e-07
0.4291181.8737821.035699e-07
0.4306911.8733281.008942e-07
0.432271.8728789.820865e-08
0.4338541.8724339.551328e-08
0.4354451.8719919.280803e-08
0.4370411.8715549.009286e-08
0.4386431.871128.736774e-08
0.441.8707578.505900e-08
0.4402511.870698.487303e-08
0.4418641.8702648.367568e-08
0.4434841.8698428.247394e-08
0.445111.8694238.126779e-08
0.4467411.8690088.005723e-08
0.4483791.8685977.884222e-08
0.4500231.868197.762276e-08
0.4516721.8677857.639884e-08
0.4533281.8673857.517042e-08
0.454991.8669887.393751e-08
0.4566571.8665947.270007e-08
0.4583311.8662047.145810e-08
0.461.865827.022000e-08
0.4600111.8658177.020851e-08
0.4616981.8654346.850221e-08
0.463391.8650536.678967e-08
0.4650891.8646766.507085e-08
0.4667931.8643036.334572e-08
0.4685051.8639326.161428e-08
0.4702221.8635655.987648e-08
0.4719461.86325.813232e-08
0.4736751.8628395.638176e-08
0.4754121.8624815.462479e-08
0.4771541.8621265.286137e-08
0.4789041.8617745.109150e-08
0.481.8615554.998200e-08
0.4806591.8614254.952035e-08
0.4824211.8610794.828613e-08
0.4841891.8607354.704739e-08
0.4859641.8603954.580411e-08
0.4877461.8600574.455627e-08
0.4895331.8597234.330385e-08
0.4913281.8593914.204684e-08
0.4931291.8590614.078523e-08
0.4949361.8587353.951899e-08
0.4967511.8584113.824811e-08
0.4985721.858093.697258e-08
0.51.8578413.597200e-08
0.5003991.8577723.585996e-08
0.5022331.8574563.534515e-08
0.5040741.8571423.482846e-08
0.5059221.8568323.430987e-08
0.5077771.8565243.378939e-08
0.5096381.8562183.326699e-08
0.5115061.8559153.274268e-08
0.5133811.8556143.221644e-08
0.5152631.8553163.168828e-08
0.5171521.855023.115818e-08
0.5190471.8547263.062614e-08
0.520951.8544353.009215e-08
0.522861.8541472.955620e-08
0.5247761.853862.901829e-08
0.52671.8535762.847840e-08
0.5286311.8532942.793654e-08
0.5305681.8530142.739269e-08
0.5325131.8527372.684684e-08
0.5344651.8524622.629900e-08
0.5364241.8521892.574915e-08
0.5383911.8519182.519728e-08
0.5403641.8516492.464339e-08
0.5423451.8513832.408746e-08
0.5443331.8511182.352950e-08
0.5463281.8508562.296950e-08
0.5483311.8505952.240744e-08
0.551.8503812.193900e-08
0.5503411.8503372.195260e-08
0.5523581.8500812.203305e-08
0.5543831.8498262.211379e-08
0.5564151.8495742.219484e-08
0.5584551.8493242.227617e-08
0.5605021.8490752.235781e-08
0.5625561.8488292.243975e-08
0.5646191.8485842.252199e-08
0.5666881.8483412.260452e-08
0.5687651.84812.268737e-08
0.570851.8478612.277051e-08
0.5729431.8476242.285396e-08
0.5750431.8473882.293772e-08
0.5771511.8471552.302178e-08
0.5792671.8469232.310615e-08
0.581391.8466932.319083e-08
0.5835211.8464642.327582e-08
0.585661.8462382.336112e-08
0.5878071.8460132.344674e-08
0.5899611.845792.353266e-08
0.5921241.8455682.361891e-08
0.5942951.8453482.370547e-08
0.5964731.845132.379234e-08
0.5986591.8449132.387954e-08
0.61.8447812.393300e-08
0.6008541.8446982.405589e-08
0.6030561.8444842.437288e-08
0.6052671.8442732.469102e-08
0.6074861.8440622.501033e-08
0.6097121.8438532.533082e-08
0.6119471.8436462.565247e-08
0.6141911.843442.597531e-08
0.6164421.8432362.629933e-08
0.6187021.8430332.662454e-08
0.620971.8428322.695094e-08
0.6232461.8426322.727853e-08
0.625531.8424342.760733e-08
0.6278231.8422372.793733e-08
0.6301251.8420412.826854e-08
0.6324341.8418472.860097e-08
0.6347531.8416542.893461e-08
0.6370791.8414632.926948e-08
0.6394151.8412732.960557e-08
0.6417591.8410842.994290e-08
0.6441111.8408973.028146e-08
0.6464721.8407113.062127e-08
0.6488421.8405263.096232e-08
0.651.8404363.112900e-08
0.651221.8403433.118743e-08
0.6536071.840163.130172e-08
0.6560031.8399793.141643e-08
0.6584081.83983.153157e-08
0.6608211.8396213.164713e-08
0.6632441.8394443.176311e-08
0.6656751.8392683.187951e-08
0.6681151.8390943.199635e-08
0.6705641.838923.211361e-08
0.6730221.8387483.223130e-08
0.6754891.8385763.234942e-08
0.6779651.8384063.246797e-08
0.680451.8382383.258696e-08
0.6829451.838073.270639e-08
0.6854481.8379033.282625e-08
0.6879611.8377383.294655e-08
0.6904821.8375733.306730e-08
0.6930131.837413.318848e-08
0.6955541.8372483.331011e-08
0.6981031.8370863.343219e-08
0.71.8369683.352300e-08
0.7006621.8369263.338537e-08
0.7032311.8367673.285172e-08
0.7058091.8366093.231611e-08
0.7083961.8364523.177853e-08
0.7109921.8362963.123899e-08
0.7135991.8361413.069747e-08
0.7162141.8359873.015396e-08
0.718841.8358342.960846e-08
0.7214751.8356822.906097e-08
0.7241191.8355312.851146e-08
0.7267741.8353812.795994e-08
0.7294381.8352322.740640e-08
0.7321121.8350842.685083e-08
0.7347951.8349362.629322e-08
0.7374891.834792.573357e-08
0.7401921.8346442.517187e-08
0.7429051.83452.460811e-08
0.7456291.8343562.404228e-08
0.7483621.8342132.347438e-08
0.7511051.8340712.290440e-08
0.7538581.833932.233233e-08
0.7566221.833792.175816e-08
0.7593951.833652.118188e-08
0.7621791.8335122.060349e-08
0.7649731.8333742.002299e-08
0.7677771.8332371.944035e-08
0.7705911.8331011.885558e-08
0.7734161.8329651.826867e-08
0.7762511.8328311.767960e-08
0.7790961.8326971.708838e-08
0.7819521.8325641.649499e-08
0.7848181.8324321.589942e-08
0.7876951.83231.530167e-08
0.7905831.832171.470173e-08
0.7934811.8320391.409959e-08
0.7963891.831911.349524e-08
0.7993091.8317821.288868e-08
0.81.8317511.274500e-08
0.8022381.8316541.278066e-08
0.8051791.8315271.282751e-08
0.8081311.83141.287453e-08
0.8110931.8312741.292172e-08
0.8140661.8311491.296908e-08
0.817051.8310251.301662e-08
0.8200451.8309011.306433e-08
0.8230511.8307781.311222e-08
0.8260681.8306551.316028e-08
0.8290961.8305331.320852e-08
0.8321351.8304121.325694e-08
0.8351861.8302921.330553e-08
0.8382471.8301721.335431e-08
0.841321.8300521.340326e-08
0.8444041.8299341.345239e-08
0.8474991.8298151.350169e-08
0.8506061.8296981.355119e-08
0.8537241.8295811.360086e-08
0.8568531.8294641.365071e-08
0.8599941.8293481.370075e-08
0.8631461.8292331.375097e-08
0.866311.8291181.380137e-08
0.8694861.8290041.385196e-08
0.8726731.8288911.390274e-08
0.8758721.8287771.395370e-08
0.8790821.8286651.400484e-08
0.8823051.8285531.405618e-08
0.8855391.8284411.410770e-08
0.8887851.828331.415941e-08
0.8920431.8282191.421132e-08
0.8953131.8281091.426341e-08
0.8985951.8281.431569e-08
0.9018891.827891.436817e-08
0.9051951.8277821.442083e-08
0.9085131.8276741.447369e-08
0.9118431.8275661.452675e-08
0.9151861.8274581.457999e-08
0.918541.8273521.463344e-08
0.9219071.8272451.468708e-08
0.9252871.8271391.474091e-08
0.9286781.8270341.479494e-08
0.9320831.8269281.484918e-08
0.9354991.8268241.490361e-08
0.9389281.8267191.495824e-08
0.942371.8266151.501307e-08
0.9458241.8265121.506810e-08
0.9492911.8264091.512333e-08
0.9527711.8263061.517876e-08
0.9562641.8262031.523440e-08
0.9597691.8261011.529024e-08
0.9632871.8259991.534629e-08
0.9668181.8258981.540254e-08
0.9703621.8257971.545900e-08
0.9739191.8256961.551567e-08
0.9774891.8255961.557254e-08
0.9810721.8254961.562962e-08
0.9846681.8253961.568691e-08
0.9882781.8252971.574441e-08
0.9919011.8251981.580212e-08
0.9955361.8250991.586005e-08
0.9991861.8250011.591818e-08
1.002851.8249031.597653e-08
1.006521.8248051.603509e-08
1.010211.8247071.609387e-08
1.013921.824611.615286e-08
1.017631.8245131.621207e-08
1.021361.8244161.627150e-08
1.025111.824321.633114e-08
1.028871.8242231.639100e-08
1.032641.8241271.645108e-08
1.036421.8240321.651139e-08
1.040221.8239361.657191e-08
1.044031.8238411.663265e-08
1.047861.8237461.669362e-08
1.05171.8236511.675481e-08
1.055561.8235561.681623e-08
1.059431.8234621.687787e-08
1.061.8234481.688700e-08
1.063311.8233681.693974e-08
1.067211.8232741.700184e-08
1.071121.823181.706416e-08
1.075051.8230861.712671e-08
1.078991.8229931.718950e-08
1.082941.82291.725251e-08
1.086911.8228071.731575e-08
1.09091.8227141.737923e-08
1.094891.8226211.744294e-08
1.098911.8225281.750688e-08
1.102941.8224361.757105e-08
1.106981.8223441.763547e-08
1.111041.8222511.770011e-08
1.115111.8221591.776500e-08
1.11921.8220671.783012e-08
1.12331.8219761.789548e-08
1.127421.8218841.796108e-08
1.131551.8217921.802692e-08
1.13571.8217011.809301e-08
1.139861.821611.815933e-08
1.144041.8215181.822590e-08
1.148231.8214271.829271e-08
1.152441.8213361.835977e-08
1.156671.8212451.842707e-08
1.160911.8211541.849462e-08
1.165161.8210631.856241e-08
1.169431.8209731.863046e-08
1.173721.8208821.869875e-08
1.178021.8207911.876730e-08
1.182341.8207011.883610e-08
1.186671.820611.890514e-08
1.191021.820521.897445e-08
1.195391.8204291.904400e-08
1.199771.8203391.911381e-08
1.204171.8202481.918388e-08
1.208581.8201581.925420e-08
1.213011.8200671.932478e-08
1.217461.8199771.939562e-08
1.221921.8198871.946672e-08
1.22641.8197961.953808e-08
1.23091.8197061.960970e-08
1.235411.8196161.968159e-08
1.239941.8195251.975374e-08
1.244481.8194351.982615e-08
1.249041.8193441.989883e-08
1.253621.8192541.997177e-08
1.258221.8191632.004498e-08
1.262831.8190732.011846e-08
1.267461.8189822.019221e-08
1.272111.8188912.026623e-08
1.276771.8188012.034052e-08
1.281451.818712.041509e-08
1.286151.8186192.048992e-08
1.290861.8185282.056503e-08
1.295591.8184372.064042e-08
1.300341.8183462.071608e-08
1.305111.8182552.079202e-08
1.309891.8181632.086824e-08
1.314691.8180722.094474e-08
1.319511.8179812.102151e-08
1.324351.8178892.109857e-08
1.32921.8177972.117592e-08
1.334081.8177062.125354e-08
1.338971.8176142.133145e-08
1.343881.8175222.140965e-08
1.34881.8174292.148813e-08
1.353751.8173372.156690e-08
1.358711.8172452.164596e-08
1.363691.8171522.172531e-08
1.368691.8170592.180495e-08
1.37371.8169662.188488e-08
1.378741.8168732.196510e-08
1.383791.816782.204562e-08
1.388871.8166862.212643e-08
1.393961.8165932.220754e-08
1.399071.8164992.228895e-08
1.40421.8164052.237065e-08
1.409341.8163112.245266e-08
1.414511.8162162.253496e-08
1.419691.8161222.261757e-08
1.42491.8160272.270048e-08
1.430121.8159322.278370e-08
1.435361.8158372.286721e-08
1.440621.8157412.295104e-08
1.445911.8156462.303517e-08
1.451211.815552.311961e-08
1.456521.8154532.320436e-08
1.461861.8153572.328942e-08
1.467221.815262.337480e-08
1.47261.8151632.346048e-08
1.4781.8150662.354648e-08
1.483421.8149692.363280e-08
1.488851.8148712.371943e-08
1.494311.8147732.380638e-08
1.499791.8146742.389365e-08
1.51.8146712.389700e-08
1.505291.8145762.825073e-08
1.51081.8144773.279445e-08
1.516341.8143783.735483e-08
1.52191.8142784.193192e-08
1.527481.8141784.652580e-08
1.533081.8140785.113651e-08
1.53871.8139785.576412e-08
1.544341.8138776.040870e-08
1.551.8137766.507030e-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
—