Optical constants

Refractive index of K-VC91(M) (SUMITA)

K-VC91(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
1.88175
Extinction coefficient k
3.50352e-08
Permittivity ε1
3.54098
Permittivity ε2
1.31855e-07
Absorption coefficient α
0.0074926 cm⁻¹
Penetration depth δ = λ/(2πk)
2.66930e+09 nm
Abbe number Vd
34.915
Chromatic dispersion dn/dλ
-0.128095 µm⁻¹
Group index ng
1.95702
Group velocity dispersion
249.791 fs²/mm
Dispersion parameter D
-1362.74 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(M) (SUMITA): K-VC91(M)
sumita_k_vc91_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-VC91(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_vc91_m.range_nm)  # (360, 1550) nm
eps = sumita_k_vc91_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=3.4226561−0.014620569⁢λ2.0+0.037712137⁢λ−2.0+0.0019015089⁢λ−4.0−0.00011042813⁢λ−6.0+1.2477487×10-5⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.4226561
C2-0.014620569
C32.0
C40.037712137
C5-2.0
C60.0019015089
C7-4.0
C8-0.00011042813
C9-6.0
C101.2477487e-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
1.88175
Vd
34.9
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
-0.0025
resistance
acid: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 9.72e-07 K⁻¹ at 633 nm, dn/dT = -3.66e-07 K⁻¹ at 1310 nm, dn/dT = -4.64e-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(M) (SUMITA), K-VC91(M): n and k versus wavelength
λ (µm)nk
0.361.9540885.340900e-06
0.361321.9530765.026632e-06
0.3626441.9520774.711212e-06
0.3639731.951094.394636e-06
0.3653081.9501154.076900e-06
0.3666471.9491533.757999e-06
0.3679911.9482033.437929e-06
0.369341.9472643.116685e-06
0.371.946812.959400e-06
0.3706931.9463372.876898e-06
0.3720521.9454212.715226e-06
0.3734161.9445162.552961e-06
0.3747851.9436232.390101e-06
0.3761591.9427392.226644e-06
0.3775371.9418672.062588e-06
0.3789211.9410041.897931e-06
0.381.9403421.769600e-06
0.380311.9401521.749170e-06
0.3817041.939311.657413e-06
0.3831041.9384781.565319e-06
0.3845081.9376551.472887e-06
0.3859171.9368421.380116e-06
0.3873321.9360381.287006e-06
0.3887521.9352431.193554e-06
0.391.9345541.111400e-06
0.3901771.9344571.104659e-06
0.3916071.9336811.050144e-06
0.3930431.9329129.954292e-07
0.3944831.9321539.405139e-07
0.3959291.9314028.853973e-07
0.3973811.9306598.300786e-07
0.3988371.9299247.745571e-07
0.41.9293467.302400e-07
0.4002991.9291987.246932e-07
0.4017671.9284796.974989e-07
0.4032391.9277686.702050e-07
0.4047171.9270656.428110e-07
0.4062011.926376.153166e-07
0.407691.9256815.877214e-07
0.4091841.9250015.600250e-07
0.4106841.9243275.322271e-07
0.412191.923665.043274e-07
0.4137011.9230014.763253e-07
0.4152171.9223484.482206e-07
0.4167391.9217034.200129e-07
0.4182671.9210643.917018e-07
0.41981.9204313.632869e-07
0.421.9203493.595800e-07
0.4213391.9198053.515130e-07
0.4228831.9191863.422068e-07
0.4244331.9185733.328665e-07
0.4259891.9179663.234920e-07
0.4275511.9173653.140831e-07
0.4291181.916773.046397e-07
0.4306911.9161812.951617e-07
0.432271.9155982.856490e-07
0.4338541.9150212.761014e-07
0.4354451.914452.665188e-07
0.4370411.9138842.569011e-07
0.4386431.9133242.472481e-07
0.441.9128552.390700e-07
0.4402511.9127692.380902e-07
0.4418641.912222.317819e-07
0.4434841.9116762.254505e-07
0.445111.9111382.190958e-07
0.4467411.9106052.127179e-07
0.4483791.9100762.063166e-07
0.4500231.9095531.998918e-07
0.4516721.9090351.934435e-07
0.4533281.9085221.869715e-07
0.454991.9080141.804759e-07
0.4566571.907511.739564e-07
0.4583311.9070121.674130e-07
0.461.9065211.608900e-07
0.4600111.9065181.608647e-07
0.4616981.9060291.571095e-07
0.463391.9055441.533405e-07
0.4650891.9050641.495577e-07
0.4667931.9045881.457610e-07
0.4685051.9041171.419504e-07
0.4702221.903651.381259e-07
0.4719461.9031871.342873e-07
0.4736751.9027291.304347e-07
0.4754121.9022741.265679e-07
0.4771541.9018241.226870e-07
0.4789041.9013791.187918e-07
0.481.9011021.163500e-07
0.4806591.9009371.151649e-07
0.4824211.9004991.119964e-07
0.4841891.9000651.088164e-07
0.4859641.8996351.056247e-07
0.4877461.8992091.024212e-07
0.4895331.8987879.920608e-08
0.4913281.8983689.597914e-08
0.4931291.8979539.274036e-08
0.4949361.8975428.948972e-08
0.4967511.8971358.622716e-08
0.4985721.8967318.295264e-08
0.51.8964188.038400e-08
0.5003991.8963318.005813e-08
0.5022331.8959347.856082e-08
0.5040741.8955417.705802e-08
0.5059221.8951517.554970e-08
0.5077771.8947657.403586e-08
0.5096381.8943827.251647e-08
0.5115061.8940027.099151e-08
0.5133811.8936266.946096e-08
0.5152631.8932536.792480e-08
0.5171521.8928836.638301e-08
0.5190471.8925166.483557e-08
0.520951.8921526.328245e-08
0.522861.8917926.172364e-08
0.5247761.8914356.015912e-08
0.52671.891085.858886e-08
0.5286311.8907295.701285e-08
0.5305681.8903815.543106e-08
0.5325131.8900365.384347e-08
0.5344651.8896935.225006e-08
0.5364241.8893545.065081e-08
0.5383911.8890174.904570e-08
0.5403641.8886834.743471e-08
0.5423451.8883524.581781e-08
0.5443331.8880244.419498e-08
0.5463281.8876984.256621e-08
0.5483311.8873764.093146e-08
0.551.887113.956900e-08
0.5503411.8870563.952789e-08
0.5523581.8867383.928464e-08
0.5543831.8864233.904050e-08
0.5564151.8861113.879546e-08
0.5584551.8858013.854953e-08
0.5605021.8854943.830269e-08
0.5625561.885193.805495e-08
0.5646191.8848883.780630e-08
0.5666881.8845883.755674e-08
0.5687651.8842913.730626e-08
0.570851.8839963.705487e-08
0.5729431.8837043.680255e-08
0.5750431.8834143.654931e-08
0.5771511.8831263.629514e-08
0.5792671.8828413.604004e-08
0.581391.8825583.578401e-08
0.5835211.8822773.552703e-08
0.585661.8819983.526912e-08
0.5878071.8817223.501026e-08
0.5899611.8814483.475044e-08
0.5921241.8811763.448968e-08
0.5942951.8809063.422796e-08
0.5964731.8806393.396528e-08
0.5986591.8803733.370164e-08
0.61.8802123.354000e-08
0.6008541.880113.358773e-08
0.6030561.8798483.371085e-08
0.6052671.8795893.383442e-08
0.6074861.8793323.395845e-08
0.6097121.8790773.408293e-08
0.6119471.8788233.420786e-08
0.6141911.8785723.433325e-08
0.6164421.8783233.445911e-08
0.6187021.8780753.458542e-08
0.620971.877833.471220e-08
0.6232461.8775863.483944e-08
0.625531.8773453.496715e-08
0.6278231.8771053.509532e-08
0.6301251.8768673.522397e-08
0.6324341.8766313.535309e-08
0.6347531.8763963.548268e-08
0.6370791.8761643.561274e-08
0.6394151.8759333.574329e-08
0.6417591.8757043.587431e-08
0.6441111.8754763.600581e-08
0.6464721.8752513.613779e-08
0.6488421.8750273.627026e-08
0.651.8749183.633500e-08
0.651221.8748043.612968e-08
0.6536071.8745843.572803e-08
0.6560031.8743653.532490e-08
0.6584081.8741473.492029e-08
0.6608211.8739323.451420e-08
0.6632441.8737183.410662e-08
0.6656751.8735053.369755e-08
0.6681151.8732943.328697e-08
0.6705641.8730853.287490e-08
0.6730221.8728773.246131e-08
0.6754891.872673.204620e-08
0.6779651.8724653.162958e-08
0.680451.8722623.121143e-08
0.6829451.872063.079174e-08
0.6854481.871863.037052e-08
0.6879611.871662.994775e-08
0.6904821.8714632.952343e-08
0.6930131.8712672.909756e-08
0.6955541.8710722.867012e-08
0.6981031.8708782.824112e-08
0.71.8707362.792200e-08
0.7006621.8706862.786374e-08
0.7032311.8704962.763786e-08
0.7058091.8703062.741114e-08
0.7083961.8701182.718360e-08
0.7109921.8699322.695521e-08
0.7135991.8697462.672600e-08
0.7162141.8695622.649594e-08
0.718841.8693792.626504e-08
0.7214751.8691982.603329e-08
0.7241191.8690182.580069e-08
0.7267741.8688392.556725e-08
0.7294381.8686612.533294e-08
0.7321121.8684842.509778e-08
0.7347951.8683092.486175e-08
0.7374891.8681342.462486e-08
0.7401921.8679612.438710e-08
0.7429051.8677892.414847e-08
0.7456291.8676192.390896e-08
0.7483621.8674492.366858e-08
0.7511051.8672812.342731e-08
0.7538581.8671132.318516e-08
0.7566221.8669472.294213e-08
0.7593951.8667822.269820e-08
0.7621791.8666182.245338e-08
0.7649731.8664552.220766e-08
0.7677771.8662932.196104e-08
0.7705911.8661322.171351e-08
0.7734161.8659722.146508e-08
0.7762511.8658132.121574e-08
0.7790961.8656552.096548e-08
0.7819521.8654992.071431e-08
0.7848181.8653432.046222e-08
0.7876951.8651882.020920e-08
0.7905831.8650341.995525e-08
0.7934811.8648811.970037e-08
0.7963891.8647291.944456e-08
0.7993091.8645781.918782e-08
0.81.8645431.912700e-08
0.8022381.8644281.910771e-08
0.8051791.8642791.908238e-08
0.8081311.8641311.905695e-08
0.8110931.8639831.903143e-08
0.8140661.8638371.900582e-08
0.817051.8636911.898011e-08
0.8200451.8635471.895430e-08
0.8230511.8634031.892841e-08
0.8260681.863261.890241e-08
0.8290961.8631181.887633e-08
0.8321351.8629771.885014e-08
0.8351861.8628361.882386e-08
0.8382471.8626961.879749e-08
0.841321.8625571.877101e-08
0.8444041.8624191.874445e-08
0.8474991.8622821.871778e-08
0.8506061.8621461.869101e-08
0.8537241.862011.866415e-08
0.8568531.8618751.863719e-08
0.8599941.8617411.861013e-08
0.8631461.8616071.858297e-08
0.866311.8614751.855571e-08
0.8694861.8613421.852835e-08
0.8726731.8612111.850089e-08
0.8758721.8610811.847333e-08
0.8790821.8609511.844567e-08
0.8823051.8608211.841791e-08
0.8855391.8606931.839005e-08
0.8887851.8605651.836208e-08
0.8920431.8604381.833401e-08
0.8953131.8603111.830584e-08
0.8985951.8601861.827757e-08
0.9018891.860061.824919e-08
0.9051951.8599361.822071e-08
0.9085131.8598121.819212e-08
0.9118431.8596881.816343e-08
0.9151861.8595661.813463e-08
0.918541.8594431.810573e-08
0.9219071.8593221.807672e-08
0.9252871.8592011.804761e-08
0.9286781.8590811.801839e-08
0.9320831.8589611.798906e-08
0.9354991.8588421.795962e-08
0.9389281.8587231.793008e-08
0.942371.8586051.790043e-08
0.9458241.8584871.787067e-08
0.9492911.858371.784080e-08
0.9527711.8582531.781082e-08
0.9562641.8581371.778073e-08
0.9597691.8580221.775053e-08
0.9632871.8579071.772022e-08
0.9668181.8577921.768980e-08
0.9703621.8576781.765926e-08
0.9739191.8575651.762862e-08
0.9774891.8574521.759786e-08
0.9810721.8573391.756699e-08
0.9846681.8572271.753601e-08
0.9882781.8571151.750491e-08
0.9919011.8570041.747370e-08
0.9955361.8568931.744238e-08
0.9991861.8567831.741094e-08
1.002851.8566731.737938e-08
1.006521.8565631.734771e-08
1.010211.8564541.731593e-08
1.013921.8563451.728402e-08
1.017631.8562371.725200e-08
1.021361.8561291.721986e-08
1.025111.8560221.718761e-08
1.028871.8559151.715524e-08
1.032641.8558081.712274e-08
1.036421.8557011.709013e-08
1.040221.8555951.705740e-08
1.044031.855491.702455e-08
1.047861.8553841.699158e-08
1.05171.8552791.695849e-08
1.055561.8551751.692527e-08
1.059431.855071.689194e-08
1.061.8550551.688700e-08
1.063311.8549661.693974e-08
1.067211.8548621.700184e-08
1.071121.8547591.706416e-08
1.075051.8546561.712671e-08
1.078991.8545531.718950e-08
1.082941.8544511.725251e-08
1.086911.8543481.731575e-08
1.09091.8542461.737923e-08
1.094891.8541451.744294e-08
1.098911.8540431.750688e-08
1.102941.8539421.757105e-08
1.106981.8538411.763547e-08
1.111041.8537411.770011e-08
1.115111.853641.776500e-08
1.11921.853541.783012e-08
1.12331.853441.789548e-08
1.127421.853341.796108e-08
1.131551.8532411.802692e-08
1.13571.8531411.809301e-08
1.139861.8530421.815933e-08
1.144041.8529431.822590e-08
1.148231.8528451.829271e-08
1.152441.8527461.835977e-08
1.156671.8526481.842707e-08
1.160911.852551.849462e-08
1.165161.8524521.856241e-08
1.169431.8523541.863046e-08
1.173721.8522561.869875e-08
1.178021.8521591.876730e-08
1.182341.8520611.883610e-08
1.186671.8519641.890514e-08
1.191021.8518671.897445e-08
1.195391.851771.904400e-08
1.199771.8516731.911381e-08
1.204171.8515761.918388e-08
1.208581.851481.925420e-08
1.213011.8513831.932478e-08
1.217461.8512871.939562e-08
1.221921.851191.946672e-08
1.22641.8510941.953808e-08
1.23091.8509981.960970e-08
1.235411.8509021.968159e-08
1.239941.8508061.975374e-08
1.244481.850711.982615e-08
1.249041.8506141.989883e-08
1.253621.8505191.997177e-08
1.258221.8504232.004498e-08
1.262831.8503272.011846e-08
1.267461.8502312.019221e-08
1.272111.8501362.026623e-08
1.276771.850042.034052e-08
1.281451.8499452.041509e-08
1.286151.8498492.048992e-08
1.290861.8497542.056503e-08
1.295591.8496582.064042e-08
1.300341.8495622.071608e-08
1.305111.8494672.079202e-08
1.309891.8493712.086824e-08
1.314691.8492762.094474e-08
1.319511.849182.102151e-08
1.324351.8490852.109857e-08
1.32921.8489892.117592e-08
1.334081.8488932.125354e-08
1.338971.8487982.133145e-08
1.343881.8487022.140965e-08
1.34881.8486062.148813e-08
1.353751.848512.156690e-08
1.358711.8484142.164596e-08
1.363691.8483182.172531e-08
1.368691.8482222.180495e-08
1.37371.8481262.188488e-08
1.378741.848032.196510e-08
1.383791.8479332.204562e-08
1.388871.8478372.212643e-08
1.393961.847742.220754e-08
1.399071.8476442.228895e-08
1.40421.8475472.237065e-08
1.409341.847452.245266e-08
1.414511.8473532.253496e-08
1.419691.8472562.261757e-08
1.42491.8471592.270048e-08
1.430121.8470612.278370e-08
1.435361.8469642.286721e-08
1.440621.8468662.295104e-08
1.445911.8467682.303517e-08
1.451211.846672.311961e-08
1.456521.8465722.320436e-08
1.461861.8464732.328942e-08
1.467221.8463752.337480e-08
1.47261.8462762.346048e-08
1.4781.8461772.354648e-08
1.483421.8460782.363280e-08
1.488851.8459792.371943e-08
1.494311.8458792.380638e-08
1.499791.8457792.389365e-08
1.51.8457752.389700e-08
1.505291.8456792.704432e-08
1.51081.8455793.032899e-08
1.516341.8454793.362570e-08
1.52191.8453783.693450e-08
1.527481.8452774.025542e-08
1.533081.8451764.358852e-08
1.53871.8450754.693384e-08
1.544341.8449735.029141e-08
1.551.8448715.366130e-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
—