Optical constants

Refractive index of K-VC89 (SUMITA)

K-VC89: 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
1.80997
Extinction coefficient k
1.87414e-08
Permittivity ε1
3.27601
Permittivity ε2
6.78431e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
40.948
Chromatic dispersion dn/dλ
-0.101068 µm⁻¹
Group index ng
1.86936
Group velocity dispersion
189.916 fs²/mm
Dispersion parameter D
-1036.09 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 (SUMITA): K-VC89
sumita_k_vc89 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-VC89", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_vc89.range_nm)  # (360, 1550) nm
eps = sumita_k_vc89.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=3.1860388−0.013756822⁢λ2.0+0.029614017⁢λ−2.0+0.0012383727⁢λ−4.0−8.0134175×10-5⁢λ−6.0+7.2330635×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.1860388
C2-0.013756822
C32.0
C40.029614017
C5-2.0
C60.0012383727
C7-4.0
C8-8.0134175e-05
C9-6.0
C107.2330635e-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
1.81000
Vd
41.0
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
-0.0084
resistance
acid: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.86e-06 K⁻¹ at 633 nm, dn/dT = 3.70e-06 K⁻¹ at 1310 nm, dn/dT = 3.61e-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 (SUMITA), K-VC89: n and k versus wavelength
λ (µm)nk
0.361.864221.540800e-06
0.361321.8634981.447183e-06
0.3626441.8627841.353224e-06
0.3639731.8620791.258920e-06
0.3653081.8613811.164270e-06
0.3666471.8606911.069273e-06
0.3679911.8600099.739279e-07
0.369341.8593358.782334e-07
0.371.8590088.313800e-07
0.3706931.8586678.068243e-07
0.3720521.8580077.587044e-07
0.3734161.8573557.104081e-07
0.3747851.8567096.619349e-07
0.3761591.856076.132839e-07
0.3775371.8554385.644546e-07
0.3789211.8548135.154463e-07
0.381.8543324.772500e-07
0.380311.8541954.715218e-07
0.3817041.8535834.457943e-07
0.3831041.8529774.199724e-07
0.3845081.8523783.940558e-07
0.3859171.8517853.680443e-07
0.3873321.8511983.419374e-07
0.3887521.8506173.157348e-07
0.391.8501132.927000e-07
0.3901771.8500422.908273e-07
0.3916071.8494732.756825e-07
0.3930431.848912.604822e-07
0.3944831.8483522.452262e-07
0.3959291.84782.299142e-07
0.3973811.8472542.145461e-07
0.3988371.8467131.991217e-07
0.41.8462861.868100e-07
0.4002991.8461771.854349e-07
0.4017671.8456471.786930e-07
0.4032391.8451211.719264e-07
0.4047171.8446011.651351e-07
0.4062011.8440871.583188e-07
0.407691.8435771.514776e-07
0.4091841.8430721.446112e-07
0.4106841.8425721.377197e-07
0.412191.8420761.308030e-07
0.4137011.8415861.238609e-07
0.4152171.84111.168933e-07
0.4167391.8406191.099002e-07
0.4182671.8401421.028815e-07
0.41981.839679.583700e-08
0.421.8396099.491800e-08
0.4213391.8392029.306034e-08
0.4228831.8387399.091731e-08
0.4244331.838288.876644e-08
0.4259891.8378258.660767e-08
0.4275511.8373758.444100e-08
0.4291181.8369288.226638e-08
0.4306911.8364868.008379e-08
0.432271.8360487.789320e-08
0.4338541.8356147.569458e-08
0.4354451.8351837.348790e-08
0.4370411.8347577.127313e-08
0.4386431.8343356.905024e-08
0.441.8339816.716700e-08
0.4402511.8339166.701858e-08
0.4418641.8335016.606297e-08
0.4434841.833096.510386e-08
0.445111.8326836.414124e-08
0.4467411.8322796.317509e-08
0.4483791.8318796.220539e-08
0.4500231.8314826.123214e-08
0.4516721.8310896.025533e-08
0.4533281.8306995.927493e-08
0.454991.8303135.829094e-08
0.4566571.829935.730334e-08
0.4583311.8295515.631212e-08
0.461.8291775.532400e-08
0.4600111.8291745.531438e-08
0.4616981.8288025.388657e-08
0.463391.8284325.245353e-08
0.4650891.8280665.101523e-08
0.4667931.8277024.957166e-08
0.4685051.8273424.812280e-08
0.4702221.8269854.666863e-08
0.4719461.8266314.520912e-08
0.4736751.826284.374427e-08
0.4754121.8259324.227405e-08
0.4771541.8255874.079844e-08
0.4789041.8252453.931742e-08
0.481.8250333.838900e-08
0.4806591.8249063.778121e-08
0.4824211.824573.615629e-08
0.4841891.8242373.452541e-08
0.4859641.8239063.288855e-08
0.4877461.8235783.124570e-08
0.4895331.8232532.959682e-08
0.4913281.8229312.794190e-08
0.4931291.8226112.628091e-08
0.4949361.8222942.461383e-08
0.4967511.821982.294064e-08
0.4985721.8216682.126132e-08
0.51.8214261.994400e-08
0.5003991.8213591.992482e-08
0.5022331.8210521.983670e-08
0.5040741.8207481.974826e-08
0.5059221.8204471.965950e-08
0.5077771.8201471.957041e-08
0.5096381.8198511.948099e-08
0.5115061.8195571.939124e-08
0.5133811.8192651.930117e-08
0.5152631.8189751.921076e-08
0.5171521.8186881.912003e-08
0.5190471.8184031.902896e-08
0.520951.8181211.893756e-08
0.522861.8178411.884582e-08
0.5247761.8175631.875375e-08
0.52671.8172871.866134e-08
0.5286311.8170141.856859e-08
0.5305681.8167421.847550e-08
0.5325131.8164731.838207e-08
0.5344651.8162061.828829e-08
0.5364241.8159411.819417e-08
0.5383911.8156791.809971e-08
0.5403641.8154181.800490e-08
0.5423451.815161.790975e-08
0.5443331.8149031.781424e-08
0.5463281.8146481.771839e-08
0.5483311.8143961.762218e-08
0.551.8141881.754200e-08
0.5503411.8141451.755287e-08
0.5523581.8138971.761723e-08
0.5543831.813651.768182e-08
0.5564151.8134061.774664e-08
0.5584551.8131631.781171e-08
0.5605021.8129221.787701e-08
0.5625561.8126831.794255e-08
0.5646191.8124461.800833e-08
0.5666881.812211.807435e-08
0.5687651.8119771.814062e-08
0.570851.8117451.820713e-08
0.5729431.8115151.827388e-08
0.5750431.8112871.834087e-08
0.5771511.811061.840811e-08
0.5792671.8108361.847560e-08
0.581391.8106131.854334e-08
0.5835211.8103911.861132e-08
0.585661.8101721.867955e-08
0.5878071.8099541.874804e-08
0.5899611.8097381.881677e-08
0.5921241.8095231.888576e-08
0.5942951.809311.895500e-08
0.5964731.8090981.902449e-08
0.5986591.8088881.909424e-08
0.61.8087611.913700e-08
0.6008541.808681.916424e-08
0.6030561.8084731.923450e-08
0.6052671.8082681.930502e-08
0.6074861.8080641.937579e-08
0.6097121.8078621.944683e-08
0.6119471.8076621.951812e-08
0.6141911.8074621.958968e-08
0.6164421.8072651.966150e-08
0.6187021.8070681.973358e-08
0.620971.8068731.980593e-08
0.6232461.806681.987854e-08
0.625531.8064881.995142e-08
0.6278231.8062972.002456e-08
0.6301251.8061082.009798e-08
0.6324341.805922.017166e-08
0.6347531.8057342.024561e-08
0.6370791.8055482.031984e-08
0.6394151.8053652.039433e-08
0.6417591.8051822.046910e-08
0.6441111.8050012.054414e-08
0.6464721.8048212.061946e-08
0.6488421.8046422.069505e-08
0.651.8045562.073200e-08
0.651221.8044652.049820e-08
0.6536071.8042892.004083e-08
0.6560031.8041141.958178e-08
0.6584081.803941.912105e-08
0.6608211.8037681.865863e-08
0.6632441.8035961.819451e-08
0.6656751.8034261.772869e-08
0.6681151.8032571.726117e-08
0.6705641.803091.679193e-08
0.6730221.8029231.632097e-08
0.6754891.8027581.584829e-08
0.6779651.8025941.537387e-08
0.680451.802431.489771e-08
0.6829451.8022681.441981e-08
0.6854481.8021071.394016e-08
0.6879611.8019481.345875e-08
0.6904821.8017891.297557e-08
0.6930131.8016311.249062e-08
0.6955541.8014751.200390e-08
0.6981031.8013191.151539e-08
0.71.8012041.115200e-08
0.7006621.8011641.116255e-08
0.7032311.8010111.120347e-08
0.7058091.8008581.124453e-08
0.7083961.8007071.128574e-08
0.7109921.8005561.132711e-08
0.7135991.8004071.136863e-08
0.7162141.8002581.141030e-08
0.718841.8001111.145212e-08
0.7214751.7999641.149409e-08
0.7241191.7998191.153622e-08
0.7267741.7996741.157851e-08
0.7294381.799531.162095e-08
0.7321121.7993871.166354e-08
0.7347951.7992451.170629e-08
0.7374891.7991041.174920e-08
0.7401921.7989641.179226e-08
0.7429051.7988251.183548e-08
0.7456291.7986861.187886e-08
0.7483621.7985491.192240e-08
0.7511051.7984121.196610e-08
0.7538581.7982761.200996e-08
0.7566221.7981411.205398e-08
0.7593951.7980071.209816e-08
0.7621791.7978741.214251e-08
0.7649731.7977411.218701e-08
0.7677771.7976091.223168e-08
0.7705911.7974781.227652e-08
0.7734161.7973481.232151e-08
0.7762511.7972191.236668e-08
0.7790961.797091.241200e-08
0.7819521.7969621.245750e-08
0.7848181.7968351.250316e-08
0.7876951.7967091.254899e-08
0.7905831.7965831.259498e-08
0.7934811.7964581.264115e-08
0.7963891.7963341.268748e-08
0.7993091.796211.273398e-08
0.81.7961811.274500e-08
0.8022381.7960881.278066e-08
0.8051791.7959651.282751e-08
0.8081311.7958441.287453e-08
0.8110931.7957231.292172e-08
0.8140661.7956031.296908e-08
0.817051.7954841.301662e-08
0.8200451.7953651.306433e-08
0.8230511.7952471.311222e-08
0.8260681.7951291.316028e-08
0.8290961.7950131.320852e-08
0.8321351.7948961.325694e-08
0.8351861.7947811.330553e-08
0.8382471.7946661.335431e-08
0.841321.7945511.340326e-08
0.8444041.7944381.345239e-08
0.8474991.7943241.350169e-08
0.8506061.7942121.355119e-08
0.8537241.79411.360086e-08
0.8568531.7939881.365071e-08
0.8599941.7938771.370075e-08
0.8631461.7937671.375097e-08
0.866311.7936571.380137e-08
0.8694861.7935481.385196e-08
0.8726731.7934391.390274e-08
0.8758721.7933311.395370e-08
0.8790821.7932231.400484e-08
0.8823051.7931161.405618e-08
0.8855391.7930091.410770e-08
0.8887851.7929031.415941e-08
0.8920431.7927971.421132e-08
0.8953131.7926921.426341e-08
0.8985951.7925871.431569e-08
0.9018891.7924831.436817e-08
0.9051951.7923791.442083e-08
0.9085131.7922761.447369e-08
0.9118431.7921731.452675e-08
0.9151861.7920711.457999e-08
0.918541.7919691.463344e-08
0.9219071.7918671.468708e-08
0.9252871.7917661.474091e-08
0.9286781.7916651.479494e-08
0.9320831.7915651.484918e-08
0.9354991.7914651.490361e-08
0.9389281.7913661.495824e-08
0.942371.7912671.501307e-08
0.9458241.7911681.506810e-08
0.9492911.791071.512333e-08
0.9527711.7909721.517876e-08
0.9562641.7908741.523440e-08
0.9597691.7907771.529024e-08
0.9632871.790681.534629e-08
0.9668181.7905841.540254e-08
0.9703621.7904881.545900e-08
0.9739191.7903921.551567e-08
0.9774891.7902961.557254e-08
0.9810721.7902011.562962e-08
0.9846681.7901071.568691e-08
0.9882781.7900121.574441e-08
0.9919011.7899181.580212e-08
0.9955361.7898241.586005e-08
0.9991861.7897311.591818e-08
1.002851.7896371.597653e-08
1.006521.7895451.603509e-08
1.010211.7894521.609387e-08
1.013921.789361.615286e-08
1.017631.7892671.621207e-08
1.021361.7891761.627150e-08
1.025111.7890841.633114e-08
1.028871.7889931.639100e-08
1.032641.7889021.645108e-08
1.036421.7888111.651139e-08
1.040221.788721.657191e-08
1.044031.788631.663265e-08
1.047861.788541.669362e-08
1.05171.788451.675481e-08
1.055561.7883611.681623e-08
1.059431.7882711.687787e-08
1.061.7882581.688700e-08
1.063311.7881821.693974e-08
1.067211.7880931.700184e-08
1.071121.7880041.706416e-08
1.075051.7879161.712671e-08
1.078991.7878271.718950e-08
1.082941.7877391.725251e-08
1.086911.7876511.731575e-08
1.09091.7875631.737923e-08
1.094891.7874761.744294e-08
1.098911.7873881.750688e-08
1.102941.7873011.757105e-08
1.106981.7872141.763547e-08
1.111041.7871261.770011e-08
1.115111.787041.776500e-08
1.11921.7869531.783012e-08
1.12331.7868661.789548e-08
1.127421.786781.796108e-08
1.131551.7866931.802692e-08
1.13571.7866071.809301e-08
1.139861.7865211.815933e-08
1.144041.7864351.822590e-08
1.148231.7863491.829271e-08
1.152441.7862631.835977e-08
1.156671.7861771.842707e-08
1.160911.7860921.849462e-08
1.165161.7860061.856241e-08
1.169431.7859211.863046e-08
1.173721.7858351.869875e-08
1.178021.785751.876730e-08
1.182341.7856651.883610e-08
1.186671.7855791.890514e-08
1.191021.7854941.897445e-08
1.195391.7854091.904400e-08
1.199771.7853241.911381e-08
1.204171.7852391.918388e-08
1.208581.7851541.925420e-08
1.213011.7850691.932478e-08
1.217461.7849841.939562e-08
1.221921.7848991.946672e-08
1.22641.7848141.953808e-08
1.23091.7847291.960970e-08
1.235411.7846451.968159e-08
1.239941.784561.975374e-08
1.244481.7844751.982615e-08
1.249041.784391.989883e-08
1.253621.7843051.997177e-08
1.258221.784222.004498e-08
1.262831.7841352.011846e-08
1.267461.784052.019221e-08
1.272111.7839652.026623e-08
1.276771.783882.034052e-08
1.281451.7837952.041509e-08
1.286151.783712.048992e-08
1.290861.7836252.056503e-08
1.295591.7835392.064042e-08
1.300341.7834542.071608e-08
1.305111.7833692.079202e-08
1.309891.7832832.086824e-08
1.314691.7831982.094474e-08
1.319511.7831122.102151e-08
1.324351.7830272.109857e-08
1.32921.7829412.117592e-08
1.334081.7828552.125354e-08
1.338971.7827692.133145e-08
1.343881.7826832.140965e-08
1.34881.7825972.148813e-08
1.353751.782512.156690e-08
1.358711.7824242.164596e-08
1.363691.7823372.172531e-08
1.368691.7822512.180495e-08
1.37371.7821642.188488e-08
1.378741.7820772.196510e-08
1.383791.781992.204562e-08
1.388871.7819032.212643e-08
1.393961.7818152.220754e-08
1.399071.7817282.228895e-08
1.40421.781642.237065e-08
1.409341.7815522.245266e-08
1.414511.7814642.253496e-08
1.419691.7813762.261757e-08
1.42491.7812872.270048e-08
1.430121.7811992.278370e-08
1.435361.781112.286721e-08
1.440621.7810212.295104e-08
1.445911.7809322.303517e-08
1.451211.7808422.311961e-08
1.456521.7807532.320436e-08
1.461861.7806632.328942e-08
1.467221.7805732.337480e-08
1.47261.7804832.346048e-08
1.4781.7803922.354648e-08
1.483421.7803012.363280e-08
1.488851.780212.371943e-08
1.494311.7801192.380638e-08
1.499791.7800282.389365e-08
1.51.7800242.389700e-08
1.505291.7799362.825073e-08
1.51081.7798443.279445e-08
1.516341.7797513.735483e-08
1.52191.7796594.193192e-08
1.527481.7795664.652580e-08
1.533081.7794735.113651e-08
1.53871.779385.576412e-08
1.544341.7792866.040870e-08
1.551.7791926.507030e-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
—