Optical constants

Refractive index of K-VC91 (SUMITA)

K-VC91: 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
1.88659
Extinction coefficient k
3.50352e-08
Permittivity ε1
3.55922
Permittivity ε2
1.32194e-07
Absorption coefficient α
0.0074926 cm⁻¹
Penetration depth δ = λ/(2πk)
2.66930e+09 nm
Abbe number Vd
34.893
Chromatic dispersion dn/dλ
-0.128994 µm⁻¹
Group index ng
1.96239
Group velocity dispersion
250.876 fs²/mm
Dispersion parameter D
-1368.66 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-VC91 (SUMITA): K-VC91
sumita_k_vc91 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-VC91", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_vc91.range_nm)  # (360, 1550) nm
eps = sumita_k_vc91.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=3.4399333−0.014633437⁢λ2.0+0.037625197⁢λ−2.0+0.0021748752⁢λ−4.0−0.00016417982⁢λ−6.0+1.5817576×10-5⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.4399333
C2-0.014633437
C32.0
C40.037625197
C5-2.0
C60.0021748752
C7-4.0
C8-0.00016417982
C9-6.0
C101.5817576e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.08e-06 1.12e-08 -9.02e-11 8.61e-07 1.32e-09 0.245
nd
1.88660
Vd
35.0
glass code
887350
density
value: 4870
thermal expansion
value: 7.7e-06, temperature range: 243 343; value: 9.5e-06, temperature range: 293 573
dPgF
-0.0045
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 9.77e-07 K⁻¹ at 633 nm, dn/dT = -3.68e-07 K⁻¹ at 1310 nm, dn/dT = -4.66e-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-VC91 (SUMITA), K-VC91: n and k versus wavelength
λ (µm)nk
0.361.9592065.340900e-06
0.361321.9581875.026632e-06
0.3626441.9571814.711212e-06
0.3639731.9561884.394636e-06
0.3653081.9552084.076900e-06
0.3666471.954243.757999e-06
0.3679911.9532853.437929e-06
0.369341.9523413.116685e-06
0.371.9518852.959400e-06
0.3706931.951412.876898e-06
0.3720521.950492.715226e-06
0.3734161.9495812.552961e-06
0.3747851.9486832.390101e-06
0.3761591.9477962.226644e-06
0.3775371.946922.062588e-06
0.3789211.9460551.897931e-06
0.381.9453891.769600e-06
0.380311.9451991.749170e-06
0.3817041.9443541.657413e-06
0.3831041.9435191.565319e-06
0.3845081.9426941.472887e-06
0.3859171.9418781.380116e-06
0.3873321.9410721.287006e-06
0.3887521.9402751.193554e-06
0.391.9395841.111400e-06
0.3901771.9394871.104659e-06
0.3916071.9387081.050144e-06
0.3930431.9379389.954292e-07
0.3944831.9371769.405139e-07
0.3959291.9364238.853973e-07
0.3973811.9356798.300786e-07
0.3988371.9349427.745571e-07
0.41.9343627.302400e-07
0.4002991.9342147.246932e-07
0.4017671.9334946.974989e-07
0.4032391.9327826.702050e-07
0.4047171.9320776.428110e-07
0.4062011.931386.153166e-07
0.407691.9306915.877214e-07
0.4091841.9300085.600250e-07
0.4106841.9293345.322271e-07
0.412191.9286665.043274e-07
0.4137011.9280054.763253e-07
0.4152171.9273514.482206e-07
0.4167391.9267044.200129e-07
0.4182671.9260643.917018e-07
0.41981.925433.632869e-07
0.421.9253483.595800e-07
0.4213391.9248033.515130e-07
0.4228831.9241823.422068e-07
0.4244331.9235683.328665e-07
0.4259891.922963.234920e-07
0.4275511.9223583.140831e-07
0.4291181.9217623.046397e-07
0.4306911.9211722.951617e-07
0.432271.9205882.856490e-07
0.4338541.9200092.761014e-07
0.4354451.9194372.665188e-07
0.4370411.918872.569011e-07
0.4386431.9183082.472481e-07
0.441.9178392.390700e-07
0.4402511.9177522.380902e-07
0.4418641.9172022.317819e-07
0.4434841.9166572.254505e-07
0.445111.9161172.190958e-07
0.4467411.9155822.127179e-07
0.4483791.9150532.063166e-07
0.4500231.9145281.998918e-07
0.4516721.9140091.934435e-07
0.4533281.9134941.869715e-07
0.454991.9129851.804759e-07
0.4566571.912481.739564e-07
0.4583311.911981.674130e-07
0.461.9114881.608900e-07
0.4600111.9114841.608647e-07
0.4616981.9109931.571095e-07
0.463391.9105071.533405e-07
0.4650891.9100251.495577e-07
0.4667931.9095481.457610e-07
0.4685051.9090751.419504e-07
0.4702221.9086071.381259e-07
0.4719461.9081421.342873e-07
0.4736751.9076821.304347e-07
0.4754121.9072271.265679e-07
0.4771541.9067751.226870e-07
0.4789041.9063271.187918e-07
0.481.906051.163500e-07
0.4806591.9058841.151649e-07
0.4824211.9054441.119964e-07
0.4841891.9050091.088164e-07
0.4859641.9045771.056247e-07
0.4877461.9041491.024212e-07
0.4895331.9037259.920608e-08
0.4913281.9033059.597914e-08
0.4931291.9028889.274036e-08
0.4949361.9024758.948972e-08
0.4967511.9020668.622716e-08
0.4985721.901668.295264e-08
0.51.9013468.038400e-08
0.5003991.9012588.005813e-08
0.5022331.900867.856082e-08
0.5040741.9004657.705802e-08
0.5059221.9000737.554970e-08
0.5077771.8996857.403586e-08
0.5096381.89937.251647e-08
0.5115061.8989187.099151e-08
0.5133811.898546.946096e-08
0.5152631.8981656.792480e-08
0.5171521.8977936.638301e-08
0.5190471.8974246.483557e-08
0.520951.8970596.328245e-08
0.522861.8966976.172364e-08
0.5247761.8963376.015912e-08
0.52671.8959815.858886e-08
0.5286311.8956285.701285e-08
0.5305681.8952775.543106e-08
0.5325131.894935.384347e-08
0.5344651.8945865.225006e-08
0.5364241.8942445.065081e-08
0.5383911.8939064.904570e-08
0.5403641.893574.743471e-08
0.5423451.8932374.581781e-08
0.5443331.8929074.419498e-08
0.5463281.8925794.256621e-08
0.5483311.8922544.093146e-08
0.551.8919863.956900e-08
0.5503411.8919323.952789e-08
0.5523581.8916133.928464e-08
0.5543831.8912963.904050e-08
0.5564151.8909823.879546e-08
0.5584551.890673.854953e-08
0.5605021.8903613.830269e-08
0.5625561.8900543.805495e-08
0.5646191.889753.780630e-08
0.5666881.8894493.755674e-08
0.5687651.8891493.730626e-08
0.570851.8888533.705487e-08
0.5729431.8885583.680255e-08
0.5750431.8882663.654931e-08
0.5771511.8879773.629514e-08
0.5792671.8876893.604004e-08
0.581391.8874043.578401e-08
0.5835211.8871223.552703e-08
0.585661.8868413.526912e-08
0.5878071.8865633.501026e-08
0.5899611.8862873.475044e-08
0.5921241.8860133.448968e-08
0.5942951.8857413.422796e-08
0.5964731.8854723.396528e-08
0.5986591.8852053.370164e-08
0.61.8850423.354000e-08
0.6008541.8849393.358773e-08
0.6030561.8846763.371085e-08
0.6052671.8844153.383442e-08
0.6074861.8841563.395845e-08
0.6097121.8838993.408293e-08
0.6119471.8836443.420786e-08
0.6141911.8833913.433325e-08
0.6164421.8831393.445911e-08
0.6187021.882893.458542e-08
0.620971.8826433.471220e-08
0.6232461.8823983.483944e-08
0.625531.8821543.496715e-08
0.6278231.8819123.509532e-08
0.6301251.8816733.522397e-08
0.6324341.8814353.535309e-08
0.6347531.8811993.548268e-08
0.6370791.8809643.561274e-08
0.6394151.8807323.574329e-08
0.6417591.8805013.587431e-08
0.6441111.8802723.600581e-08
0.6464721.8800443.613779e-08
0.6488421.8798193.627026e-08
0.651.8797093.633500e-08
0.651221.8795953.612968e-08
0.6536071.8793733.572803e-08
0.6560031.8791523.532490e-08
0.6584081.8789333.492029e-08
0.6608211.8787163.451420e-08
0.6632441.87853.410662e-08
0.6656751.8782863.369755e-08
0.6681151.8780733.328697e-08
0.6705641.8778623.287490e-08
0.6730221.8776533.246131e-08
0.6754891.8774453.204620e-08
0.6779651.8772383.162958e-08
0.680451.8770333.121143e-08
0.6829451.876833.079174e-08
0.6854481.8766283.037052e-08
0.6879611.8764282.994775e-08
0.6904821.8762282.952343e-08
0.6930131.8760312.909756e-08
0.6955541.8758352.867012e-08
0.6981031.875642.824112e-08
0.71.8754962.792200e-08
0.7006621.8754462.786374e-08
0.7032311.8752542.763786e-08
0.7058091.8750642.741114e-08
0.7083961.8748742.718360e-08
0.7109921.8746862.695521e-08
0.7135991.8744992.672600e-08
0.7162141.8743142.649594e-08
0.718841.874132.626504e-08
0.7214751.8739472.603329e-08
0.7241191.8737652.580069e-08
0.7267741.8735852.556725e-08
0.7294381.8734062.533294e-08
0.7321121.8732282.509778e-08
0.7347951.8730522.486175e-08
0.7374891.8728762.462486e-08
0.7401921.8727022.438710e-08
0.7429051.8725292.414847e-08
0.7456291.8723572.390896e-08
0.7483621.8721862.366858e-08
0.7511051.8720162.342731e-08
0.7538581.8718482.318516e-08
0.7566221.8716812.294213e-08
0.7593951.8715142.269820e-08
0.7621791.8713492.245338e-08
0.7649731.8711852.220766e-08
0.7677771.8710222.196104e-08
0.7705911.870862.171351e-08
0.7734161.8706992.146508e-08
0.7762511.8705392.121574e-08
0.7790961.870382.096548e-08
0.7819521.8702232.071431e-08
0.7848181.8700662.046222e-08
0.7876951.869912.020920e-08
0.7905831.8697551.995525e-08
0.7934811.8696011.970037e-08
0.7963891.8694481.944456e-08
0.7993091.8692961.918782e-08
0.81.8692611.912700e-08
0.8022381.8691451.910771e-08
0.8051791.8689951.908238e-08
0.8081311.8688461.905695e-08
0.8110931.8686981.903143e-08
0.8140661.8685511.900582e-08
0.817051.8684041.898011e-08
0.8200451.8682591.895430e-08
0.8230511.8681141.892841e-08
0.8260681.867971.890241e-08
0.8290961.8678271.887633e-08
0.8321351.8676851.885014e-08
0.8351861.8675441.882386e-08
0.8382471.8674031.879749e-08
0.841321.8672641.877101e-08
0.8444041.8671251.874445e-08
0.8474991.8669871.871778e-08
0.8506061.8668491.869101e-08
0.8537241.8667131.866415e-08
0.8568531.8665771.863719e-08
0.8599941.8664421.861013e-08
0.8631461.8663081.858297e-08
0.866311.8661751.855571e-08
0.8694861.8660421.852835e-08
0.8726731.865911.850089e-08
0.8758721.8657791.847333e-08
0.8790821.8656481.844567e-08
0.8823051.8655181.841791e-08
0.8855391.8653891.839005e-08
0.8887851.8652611.836208e-08
0.8920431.8651331.833401e-08
0.8953131.8650061.830584e-08
0.8985951.8648791.827757e-08
0.9018891.8647531.824919e-08
0.9051951.8646281.822071e-08
0.9085131.8645041.819212e-08
0.9118431.864381.816343e-08
0.9151861.8642561.813463e-08
0.918541.8641341.810573e-08
0.9219071.8640121.807672e-08
0.9252871.863891.804761e-08
0.9286781.8637691.801839e-08
0.9320831.8636491.798906e-08
0.9354991.8635291.795962e-08
0.9389281.863411.793008e-08
0.942371.8632911.790043e-08
0.9458241.8631731.787067e-08
0.9492911.8630561.784080e-08
0.9527711.8629391.781082e-08
0.9562641.8628221.778073e-08
0.9597691.8627061.775053e-08
0.9632871.8625911.772022e-08
0.9668181.8624761.768980e-08
0.9703621.8623611.765926e-08
0.9739191.8622471.762862e-08
0.9774891.8621341.759786e-08
0.9810721.8620211.756699e-08
0.9846681.8619081.753601e-08
0.9882781.8617961.750491e-08
0.9919011.8616851.747370e-08
0.9955361.8615731.744238e-08
0.9991861.8614631.741094e-08
1.002851.8613521.737938e-08
1.006521.8612421.734771e-08
1.010211.8611331.731593e-08
1.013921.8610241.728402e-08
1.017631.8609151.725200e-08
1.021361.8608071.721986e-08
1.025111.8606991.718761e-08
1.028871.8605921.715524e-08
1.032641.8604851.712274e-08
1.036421.8603781.709013e-08
1.040221.8602721.705740e-08
1.044031.8601661.702455e-08
1.047861.860061.699158e-08
1.05171.8599551.695849e-08
1.055561.859851.692527e-08
1.059431.8597451.689194e-08
1.061.859731.688700e-08
1.063311.8596411.693974e-08
1.067211.8595371.700184e-08
1.071121.8594331.706416e-08
1.075051.859331.712671e-08
1.078991.8592271.718950e-08
1.082941.8591241.725251e-08
1.086911.8590221.731575e-08
1.09091.8589191.737923e-08
1.094891.8588171.744294e-08
1.098911.8587161.750688e-08
1.102941.8586141.757105e-08
1.106981.8585131.763547e-08
1.111041.8584131.770011e-08
1.115111.8583121.776500e-08
1.11921.8582121.783012e-08
1.12331.8581111.789548e-08
1.127421.8580111.796108e-08
1.131551.8579121.802692e-08
1.13571.8578121.809301e-08
1.139861.8577131.815933e-08
1.144041.8576141.822590e-08
1.148231.8575151.829271e-08
1.152441.8574161.835977e-08
1.156671.8573181.842707e-08
1.160911.857221.849462e-08
1.165161.8571221.856241e-08
1.169431.8570241.863046e-08
1.173721.8569261.869875e-08
1.178021.8568281.876730e-08
1.182341.8567311.883610e-08
1.186671.8566331.890514e-08
1.191021.8565361.897445e-08
1.195391.8564391.904400e-08
1.199771.8563421.911381e-08
1.204171.8562451.918388e-08
1.208581.8561491.925420e-08
1.213011.8560521.932478e-08
1.217461.8559561.939562e-08
1.221921.8558591.946672e-08
1.22641.8557631.953808e-08
1.23091.8556671.960970e-08
1.235411.8555711.968159e-08
1.239941.8554741.975374e-08
1.244481.8553781.982615e-08
1.249041.8552831.989883e-08
1.253621.8551871.997177e-08
1.258221.8550912.004498e-08
1.262831.8549952.011846e-08
1.267461.8548992.019221e-08
1.272111.8548042.026623e-08
1.276771.8547082.034052e-08
1.281451.8546132.041509e-08
1.286151.8545172.048992e-08
1.290861.8544212.056503e-08
1.295591.8543262.064042e-08
1.300341.854232.071608e-08
1.305111.8541352.079202e-08
1.309891.8540392.086824e-08
1.314691.8539442.094474e-08
1.319511.8538482.102151e-08
1.324351.8537522.109857e-08
1.32921.8536572.117592e-08
1.334081.8535612.125354e-08
1.338971.8534652.133145e-08
1.343881.853372.140965e-08
1.34881.8532742.148813e-08
1.353751.8531782.156690e-08
1.358711.8530822.164596e-08
1.363691.8529862.172531e-08
1.368691.852892.180495e-08
1.37371.8527942.188488e-08
1.378741.8526982.196510e-08
1.383791.8526012.204562e-08
1.388871.8525052.212643e-08
1.393961.8524082.220754e-08
1.399071.8523122.228895e-08
1.40421.8522152.237065e-08
1.409341.8521182.245266e-08
1.414511.8520212.253496e-08
1.419691.8519242.261757e-08
1.42491.8518272.270048e-08
1.430121.851732.278370e-08
1.435361.8516322.286721e-08
1.440621.8515342.295104e-08
1.445911.8514372.303517e-08
1.451211.8513392.311961e-08
1.456521.851242.320436e-08
1.461861.8511422.328942e-08
1.467221.8510442.337480e-08
1.47261.8509452.346048e-08
1.4781.8508462.354648e-08
1.483421.8507472.363280e-08
1.488851.8506482.371943e-08
1.494311.8505482.380638e-08
1.499791.8504492.389365e-08
1.51.8504452.389700e-08
1.505291.8503492.704432e-08
1.51081.8502493.032899e-08
1.516341.8501483.362570e-08
1.52191.8500483.693450e-08
1.527481.8499474.025542e-08
1.533081.8498464.358852e-08
1.53871.8497454.693384e-08
1.544341.8496435.029141e-08
1.551.8495415.366130e-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
—