Optical constants

Refractive index of K-VC89(M) (SUMITA)

K-VC89(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
1.80588
Extinction coefficient k
1.87414e-08
Permittivity ε1
3.26119
Permittivity ε2
6.76895e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
40.888
Chromatic dispersion dn/dλ
-0.100651 µm⁻¹
Group index ng
1.86502
Group velocity dispersion
189.459 fs²/mm
Dispersion parameter D
-1033.6 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-VC89(M) (SUMITA): K-VC89(M)
sumita_k_vc89_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-VC89(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_vc89_m.range_nm)  # (360, 1550) nm
eps = sumita_k_vc89_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=3.1717081−0.013708448⁢λ2.0+0.029629026⁢λ−2.0+0.0011150095⁢λ−4.0−5.5576606×10-5⁢λ−6.0+5.6941122×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.1717081
C2-0.013708448
C32.0
C40.029629026
C5-2.0
C60.0011150095
C7-4.0
C8-5.5576606e-05
C9-6.0
C105.6941122e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 5.61e-06 1.72e-08 -1.79e-10 7.49e-07 7.58e-10 0.227
nd
1.80590
Vd
40.9
glass code
810410
density
value: 4750
thermal expansion
value: 6.4e-06, temperature range: 243 343; value: 8.3e-06, temperature range: 293 573
dPgF
-0.0074
resistance
acid: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.83e-06 K⁻¹ at 633 nm, dn/dT = 3.69e-06 K⁻¹ at 1310 nm, dn/dT = 3.59e-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-VC89(M) (SUMITA), K-VC89(M): n and k versus wavelength
λ (µm)nk
0.361.8599971.540800e-06
0.361321.8592781.447183e-06
0.3626441.8585681.353224e-06
0.3639731.8578651.258920e-06
0.3653081.857171.164270e-06
0.3666471.8564831.069273e-06
0.3679911.8558039.739279e-07
0.369341.8551318.782334e-07
0.371.8548058.313800e-07
0.3706931.8544668.068243e-07
0.3720521.8538087.587044e-07
0.3734161.8531577.104081e-07
0.3747851.8525146.619349e-07
0.3761591.8518776.132839e-07
0.3775371.8512465.644546e-07
0.3789211.8506235.154463e-07
0.381.8501434.772500e-07
0.380311.8500064.715218e-07
0.3817041.8493954.457943e-07
0.3831041.8487914.199724e-07
0.3845081.8481933.940558e-07
0.3859171.8476013.680443e-07
0.3873321.8470153.419374e-07
0.3887521.8464353.157348e-07
0.391.8459322.927000e-07
0.3901771.8458612.908273e-07
0.3916071.8452932.756825e-07
0.3930431.8447312.604822e-07
0.3944831.8441742.452262e-07
0.3959291.8436232.299142e-07
0.3973811.8430772.145461e-07
0.3988371.8425371.991217e-07
0.41.8421111.868100e-07
0.4002991.8420021.854349e-07
0.4017671.8414721.786930e-07
0.4032391.8409471.719264e-07
0.4047171.8404281.651351e-07
0.4062011.8399141.583188e-07
0.407691.8394051.514776e-07
0.4091841.83891.446112e-07
0.4106841.8384011.377197e-07
0.412191.8379061.308030e-07
0.4137011.8374161.238609e-07
0.4152171.8369311.168933e-07
0.4167391.836451.099002e-07
0.4182671.8359741.028815e-07
0.41981.8355029.583700e-08
0.421.8354419.491800e-08
0.4213391.8350359.306034e-08
0.4228831.8345729.091731e-08
0.4244331.8341138.876644e-08
0.4259891.8336598.660767e-08
0.4275511.8332098.444100e-08
0.4291181.8327638.226638e-08
0.4306911.8323228.008379e-08
0.432271.8318847.789320e-08
0.4338541.831457.569458e-08
0.4354451.831027.348790e-08
0.4370411.8305957.127313e-08
0.4386431.8301736.905024e-08
0.441.829826.716700e-08
0.4402511.8297556.701858e-08
0.4418641.829346.606297e-08
0.4434841.828936.510386e-08
0.445111.8285236.414124e-08
0.4467411.828126.317509e-08
0.4483791.827726.220539e-08
0.4500231.8273246.123214e-08
0.4516721.8269326.025533e-08
0.4533281.8265425.927493e-08
0.454991.8261575.829094e-08
0.4566571.8257755.730334e-08
0.4583311.8253965.631212e-08
0.461.8250235.532400e-08
0.4600111.825025.531438e-08
0.4616981.8246485.388657e-08
0.463391.8242795.245353e-08
0.4650891.8239135.101523e-08
0.4667931.8235514.957166e-08
0.4685051.8231914.812280e-08
0.4702221.8228354.666863e-08
0.4719461.8224824.520912e-08
0.4736751.8221314.374427e-08
0.4754121.8217844.227405e-08
0.4771541.821444.079844e-08
0.4789041.8210993.931742e-08
0.481.8208873.838900e-08
0.4806591.820763.778121e-08
0.4824211.8204253.615629e-08
0.4841891.8200923.452541e-08
0.4859641.8197623.288855e-08
0.4877461.8194353.124570e-08
0.4895331.8191112.959682e-08
0.4913281.8187892.794190e-08
0.4931291.8184712.628091e-08
0.4949361.8181542.461383e-08
0.4967511.8178412.294064e-08
0.4985721.817532.126132e-08
0.51.8172891.994400e-08
0.5003991.8172221.992482e-08
0.5022331.8169161.983670e-08
0.5040741.8166131.974826e-08
0.5059221.8163121.965950e-08
0.5077771.8160141.957041e-08
0.5096381.8157181.948099e-08
0.5115061.8154241.939124e-08
0.5133811.8151331.930117e-08
0.5152631.8148451.921076e-08
0.5171521.8145591.912003e-08
0.5190471.8142751.902896e-08
0.520951.8139931.893756e-08
0.522861.8137141.884582e-08
0.5247761.8134371.875375e-08
0.52671.8131621.866134e-08
0.5286311.812891.856859e-08
0.5305681.8126191.847550e-08
0.5325131.8123511.838207e-08
0.5344651.8120851.828829e-08
0.5364241.8118211.819417e-08
0.5383911.8115591.809971e-08
0.5403641.8112991.800490e-08
0.5423451.8110421.790975e-08
0.5443331.8107861.781424e-08
0.5463281.8105321.771839e-08
0.5483311.8102811.762218e-08
0.551.8100731.754200e-08
0.5503411.8100311.755287e-08
0.5523581.8097841.761723e-08
0.5543831.8095381.768182e-08
0.5564151.8092941.774664e-08
0.5584551.8090521.781171e-08
0.5605021.8088121.787701e-08
0.5625561.8085741.794255e-08
0.5646191.8083381.800833e-08
0.5666881.8081041.807435e-08
0.5687651.8078711.814062e-08
0.570851.807641.820713e-08
0.5729431.8074111.827388e-08
0.5750431.8071841.834087e-08
0.5771511.8069581.840811e-08
0.5792671.8067341.847560e-08
0.581391.8065121.854334e-08
0.5835211.8062921.861132e-08
0.585661.8060731.867955e-08
0.5878071.8058561.874804e-08
0.5899611.8056411.881677e-08
0.5921241.8054271.888576e-08
0.5942951.8052151.895500e-08
0.5964731.8050041.902449e-08
0.5986591.8047951.909424e-08
0.61.8046681.913700e-08
0.6008541.8045881.916424e-08
0.6030561.8043821.923450e-08
0.6052671.8041771.930502e-08
0.6074861.8039751.937579e-08
0.6097121.8037731.944683e-08
0.6119471.8035731.951812e-08
0.6141911.8033751.958968e-08
0.6164421.8031781.966150e-08
0.6187021.8029831.973358e-08
0.620971.8027891.980593e-08
0.6232461.8025961.987854e-08
0.625531.8024051.995142e-08
0.6278231.8022152.002456e-08
0.6301251.8020272.009798e-08
0.6324341.801842.017166e-08
0.6347531.8016542.024561e-08
0.6370791.801472.031984e-08
0.6394151.8012872.039433e-08
0.6417591.8011052.046910e-08
0.6441111.8009242.054414e-08
0.6464721.8007452.061946e-08
0.6488421.8005672.069505e-08
0.651.8004812.073200e-08
0.651221.8003912.049820e-08
0.6536071.8002152.004083e-08
0.6560031.8000411.958178e-08
0.6584081.7998681.912105e-08
0.6608211.7996971.865863e-08
0.6632441.7995261.819451e-08
0.6656751.7993571.772869e-08
0.6681151.7991891.726117e-08
0.6705641.7990221.679193e-08
0.6730221.7988561.632097e-08
0.6754891.7986911.584829e-08
0.6779651.7985281.537387e-08
0.680451.7983651.489771e-08
0.6829451.7982041.441981e-08
0.6854481.7980441.394016e-08
0.6879611.7978851.345875e-08
0.6904821.7977271.297557e-08
0.6930131.797571.249062e-08
0.6955541.7974141.200390e-08
0.6981031.7972591.151539e-08
0.71.7971451.115200e-08
0.7006621.7971051.116255e-08
0.7032311.7969521.120347e-08
0.7058091.79681.124453e-08
0.7083961.7966491.128574e-08
0.7109921.79651.132711e-08
0.7135991.7963511.136863e-08
0.7162141.7962031.141030e-08
0.718841.7960561.145212e-08
0.7214751.795911.149409e-08
0.7241191.7957651.153622e-08
0.7267741.7956211.157851e-08
0.7294381.7954781.162095e-08
0.7321121.7953351.166354e-08
0.7347951.7951941.170629e-08
0.7374891.7950541.174920e-08
0.7401921.7949141.179226e-08
0.7429051.7947751.183548e-08
0.7456291.7946371.187886e-08
0.7483621.79451.192240e-08
0.7511051.7943641.196610e-08
0.7538581.7942291.200996e-08
0.7566221.7940951.205398e-08
0.7593951.7939611.209816e-08
0.7621791.7938281.214251e-08
0.7649731.7936961.218701e-08
0.7677771.7935651.223168e-08
0.7705911.7934341.227652e-08
0.7734161.7933051.232151e-08
0.7762511.7931761.236668e-08
0.7790961.7930481.241200e-08
0.7819521.792921.245750e-08
0.7848181.7927941.250316e-08
0.7876951.7926681.254899e-08
0.7905831.7925431.259498e-08
0.7934811.7924181.264115e-08
0.7963891.7922941.268748e-08
0.7993091.7921711.273398e-08
0.81.7921421.274500e-08
0.8022381.7920491.278066e-08
0.8051791.7919271.282751e-08
0.8081311.7918061.287453e-08
0.8110931.7916861.292172e-08
0.8140661.7915661.296908e-08
0.817051.7914471.301662e-08
0.8200451.7913291.306433e-08
0.8230511.7912111.311222e-08
0.8260681.7910941.316028e-08
0.8290961.7909781.320852e-08
0.8321351.7908621.325694e-08
0.8351861.7907471.330553e-08
0.8382471.7906321.335431e-08
0.841321.7905181.340326e-08
0.8444041.7904051.345239e-08
0.8474991.7902921.350169e-08
0.8506061.790181.355119e-08
0.8537241.7900681.360086e-08
0.8568531.7899571.365071e-08
0.8599941.7898471.370075e-08
0.8631461.7897371.375097e-08
0.866311.7896271.380137e-08
0.8694861.7895181.385196e-08
0.8726731.789411.390274e-08
0.8758721.7893021.395370e-08
0.8790821.7891951.400484e-08
0.8823051.7890881.405618e-08
0.8855391.7889811.410770e-08
0.8887851.7888761.415941e-08
0.8920431.788771.421132e-08
0.8953131.7886651.426341e-08
0.8985951.7885611.431569e-08
0.9018891.7884571.436817e-08
0.9051951.7883541.442083e-08
0.9085131.7882511.447369e-08
0.9118431.7881481.452675e-08
0.9151861.7880461.457999e-08
0.918541.7879441.463344e-08
0.9219071.7878431.468708e-08
0.9252871.7877421.474091e-08
0.9286781.7876421.479494e-08
0.9320831.7875421.484918e-08
0.9354991.7874421.490361e-08
0.9389281.7873431.495824e-08
0.942371.7872441.501307e-08
0.9458241.7871461.506810e-08
0.9492911.7870481.512333e-08
0.9527711.786951.517876e-08
0.9562641.7868531.523440e-08
0.9597691.7867561.529024e-08
0.9632871.7866591.534629e-08
0.9668181.7865631.540254e-08
0.9703621.7864671.545900e-08
0.9739191.7863721.551567e-08
0.9774891.7862761.557254e-08
0.9810721.7861821.562962e-08
0.9846681.7860871.568691e-08
0.9882781.7859931.574441e-08
0.9919011.7858991.580212e-08
0.9955361.7858051.586005e-08
0.9991861.7857121.591818e-08
1.002851.7856191.597653e-08
1.006521.7855261.603509e-08
1.010211.7854341.609387e-08
1.013921.7853421.615286e-08
1.017631.785251.621207e-08
1.021361.7851581.627150e-08
1.025111.7850671.633114e-08
1.028871.7849761.639100e-08
1.032641.7848851.645108e-08
1.036421.7847951.651139e-08
1.040221.7847041.657191e-08
1.044031.7846141.663265e-08
1.047861.7845241.669362e-08
1.05171.7844351.675481e-08
1.055561.7843451.681623e-08
1.059431.7842561.687787e-08
1.061.7842431.688700e-08
1.063311.7841671.693974e-08
1.067211.7840781.700184e-08
1.071121.783991.706416e-08
1.075051.7839011.712671e-08
1.078991.7838131.718950e-08
1.082941.7837251.725251e-08
1.086911.7836371.731575e-08
1.09091.7835491.737923e-08
1.094891.7834621.744294e-08
1.098911.7833751.750688e-08
1.102941.7832871.757105e-08
1.106981.78321.763547e-08
1.111041.7831131.770011e-08
1.115111.7830271.776500e-08
1.11921.782941.783012e-08
1.12331.7828541.789548e-08
1.127421.7827671.796108e-08
1.131551.7826811.802692e-08
1.13571.7825951.809301e-08
1.139861.7825091.815933e-08
1.144041.7824231.822590e-08
1.148231.7823371.829271e-08
1.152441.7822521.835977e-08
1.156671.7821661.842707e-08
1.160911.7820811.849462e-08
1.165161.7819951.856241e-08
1.169431.781911.863046e-08
1.173721.7818241.869875e-08
1.178021.7817391.876730e-08
1.182341.7816541.883610e-08
1.186671.7815691.890514e-08
1.191021.7814841.897445e-08
1.195391.7813991.904400e-08
1.199771.7813141.911381e-08
1.204171.7812291.918388e-08
1.208581.7811441.925420e-08
1.213011.7810591.932478e-08
1.217461.7809751.939562e-08
1.221921.780891.946672e-08
1.22641.7808051.953808e-08
1.23091.780721.960970e-08
1.235411.7806361.968159e-08
1.239941.7805511.975374e-08
1.244481.7804661.982615e-08
1.249041.7803811.989883e-08
1.253621.7802961.997177e-08
1.258221.7802122.004498e-08
1.262831.7801272.011846e-08
1.267461.7800422.019221e-08
1.272111.7799572.026623e-08
1.276771.7798722.034052e-08
1.281451.7797872.041509e-08
1.286151.7797022.048992e-08
1.290861.7796172.056503e-08
1.295591.7795322.064042e-08
1.300341.7794472.071608e-08
1.305111.7793612.079202e-08
1.309891.7792762.086824e-08
1.314691.7791912.094474e-08
1.319511.7791052.102151e-08
1.324351.779022.109857e-08
1.32921.7789342.117592e-08
1.334081.7788482.125354e-08
1.338971.7787622.133145e-08
1.343881.7786762.140965e-08
1.34881.778592.148813e-08
1.353751.7785042.156690e-08
1.358711.7784182.164596e-08
1.363691.7783312.172531e-08
1.368691.7782452.180495e-08
1.37371.7781582.188488e-08
1.378741.7780712.196510e-08
1.383791.7779842.204562e-08
1.388871.7778972.212643e-08
1.393961.777812.220754e-08
1.399071.7777222.228895e-08
1.40421.7776352.237065e-08
1.409341.7775472.245266e-08
1.414511.7774592.253496e-08
1.419691.7773712.261757e-08
1.42491.7772822.270048e-08
1.430121.7771942.278370e-08
1.435361.7771052.286721e-08
1.440621.7770162.295104e-08
1.445911.7769272.303517e-08
1.451211.7768382.311961e-08
1.456521.7767482.320436e-08
1.461861.7766592.328942e-08
1.467221.7765692.337480e-08
1.47261.7764782.346048e-08
1.4781.7763882.354648e-08
1.483421.7762972.363280e-08
1.488851.7762062.371943e-08
1.494311.7761152.380638e-08
1.499791.7760242.389365e-08
1.51.776022.389700e-08
1.505291.7759322.825073e-08
1.51081.775843.279445e-08
1.516341.7757483.735483e-08
1.52191.7756564.193192e-08
1.527481.7755634.652580e-08
1.533081.775475.113651e-08
1.53871.7753765.576412e-08
1.544341.7752836.040870e-08
1.551.7751896.507030e-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
—