Optical constants

Refractive index of K-VC185(M) (SUMITA)

K-VC185(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
1.84908
Extinction coefficient k
3.86531e-08
Permittivity ε1
3.41911
Permittivity ε2
1.42946e-07
Absorption coefficient α
0.00826632 cm⁻¹
Penetration depth δ = λ/(2πk)
2.41946e+09 nm
Abbe number Vd
40.532
Chromatic dispersion dn/dλ
-0.106973 µm⁻¹
Group index ng
1.91194
Group velocity dispersion
201.509 fs²/mm
Dispersion parameter D
-1099.34 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-VC185(M) (SUMITA): K-VC185(M)
sumita_k_vc185_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-VC185(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_vc185_m.range_nm)  # (360, 1550) nm
eps = sumita_k_vc185_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=3.3218568−0.014962898⁢λ2.0+0.032206874⁢λ−2.0+0.0011931823⁢λ−4.0−5.072415×10-5⁢λ−6.0+5.1953408×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.3218568
C2-0.014962898
C32.0
C40.032206874
C5-2.0
C60.0011931823
C7-4.0
C8-5.072415e-05
C9-6.0
C105.1953408e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.01e-06 1.77e-08 -2.37e-10 7.39e-07 1.02e-09 0.227
nd
1.84909
Vd
40.5
glass code
854406
density
value: 5000
thermal expansion
value: 5.8e-06, temperature range: 243 343; value: 7e-06, temperature range: 293 573
dPgF
-0.009
resistance
acid: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.99e-06 K⁻¹ at 633 nm, dn/dT = 2.83e-06 K⁻¹ at 1310 nm, dn/dT = 2.74e-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-VC185(M) (SUMITA), K-VC185(M): n and k versus wavelength
λ (µm)nk
0.361.9064577.450400e-07
0.361321.9057017.144670e-07
0.3626441.9049536.837820e-07
0.3639731.9042136.529844e-07
0.3653081.9034816.220740e-07
0.3666471.9027565.910503e-07
0.3679911.902045.599128e-07
0.369341.9013315.286612e-07
0.371.9009875.133600e-07
0.3706931.9006295.017274e-07
0.3720521.8999354.789318e-07
0.3734161.8992484.560527e-07
0.3747851.8985694.330897e-07
0.3761591.8978964.100426e-07
0.3775371.8972313.869109e-07
0.3789211.8965723.636945e-07
0.381.8960653.456000e-07
0.380311.895923.425914e-07
0.3817041.8952743.290787e-07
0.3831041.8946363.155164e-07
0.3845081.8940033.019045e-07
0.3859171.8933782.882426e-07
0.3873321.8927582.745306e-07
0.3887521.8921452.607684e-07
0.391.8916122.486700e-07
0.3901771.8915372.478153e-07
0.3916071.8909362.409029e-07
0.3930431.8903412.339652e-07
0.3944831.8897522.270021e-07
0.3959291.8891682.200135e-07
0.3973811.888592.129992e-07
0.3988371.8880182.059593e-07
0.41.8875672.003400e-07
0.4002991.8874511.995403e-07
0.4017671.886891.956195e-07
0.4032391.8863351.916844e-07
0.4047171.8857841.877349e-07
0.4062011.8852391.837709e-07
0.407691.8846991.797923e-07
0.4091841.8841651.757992e-07
0.4106841.8836351.717914e-07
0.412191.8831111.677690e-07
0.4137011.8825911.637318e-07
0.4152171.8820761.596798e-07
0.4167391.8815661.556129e-07
0.4182671.8810611.515312e-07
0.41981.8805611.474344e-07
0.421.8804961.469000e-07
0.4213391.8800651.446896e-07
0.4228831.8795741.421397e-07
0.4244331.8790881.395805e-07
0.4259891.8786061.370118e-07
0.4275511.8781281.344338e-07
0.4291181.8776551.318463e-07
0.4306911.8771861.292493e-07
0.432271.8767211.266427e-07
0.4338541.8762611.240267e-07
0.4354451.8758041.214010e-07
0.4370411.8753521.187657e-07
0.4386431.8749041.161208e-07
0.441.8745291.138800e-07
0.4402511.874461.137084e-07
0.4418641.874021.126038e-07
0.4434841.8735841.114951e-07
0.445111.8731521.103823e-07
0.4467411.8727241.092655e-07
0.4483791.87231.081446e-07
0.4500231.8718791.070196e-07
0.4516721.8714621.058904e-07
0.4533281.8710491.047571e-07
0.454991.8706391.036197e-07
0.4566571.8702331.024780e-07
0.4583311.869831.013322e-07
0.461.8694341.001900e-07
0.4600111.8694311.001814e-07
0.4616981.8690369.889831e-08
0.463391.8686449.761056e-08
0.4650891.8682559.631809e-08
0.4667931.867879.502088e-08
0.4685051.8674889.371891e-08
0.4702221.8671099.241217e-08
0.4719461.8667349.110065e-08
0.4736751.8663628.978431e-08
0.4754121.8659928.846315e-08
0.4771541.8656278.713715e-08
0.4789041.8652648.580629e-08
0.481.8650398.497200e-08
0.4806591.8649048.415359e-08
0.4824211.8645488.196556e-08
0.4841891.8641947.976951e-08
0.4859641.8638447.756541e-08
0.4877461.8634967.535323e-08
0.4895331.8631517.313294e-08
0.4913281.8628097.090452e-08
0.4931291.8624716.866792e-08
0.4949361.8621346.642313e-08
0.4967511.8618016.417011e-08
0.4985721.8614716.190882e-08
0.51.8612146.013500e-08
0.5003991.8611435.997080e-08
0.5022331.8608185.921633e-08
0.5040741.8604965.845909e-08
0.5059221.8601765.769908e-08
0.5077771.8598595.693628e-08
0.5096381.8595445.617068e-08
0.5115061.8592335.540228e-08
0.5133811.8589235.463106e-08
0.5152631.8586165.385702e-08
0.5171521.8583125.308013e-08
0.5190471.858015.230040e-08
0.520951.8577115.151781e-08
0.522861.8574145.073236e-08
0.5247761.857124.994402e-08
0.52671.8568284.915279e-08
0.5286311.8565384.835867e-08
0.5305681.856254.756163e-08
0.5325131.8559654.676167e-08
0.5344651.8556834.595878e-08
0.5364241.8554024.515294e-08
0.5383911.8551244.434415e-08
0.5403641.8548484.353240e-08
0.5423451.8545744.271767e-08
0.5443331.8543024.189996e-08
0.5463281.8540324.107924e-08
0.5483311.8537654.025552e-08
0.551.8535443.956900e-08
0.5503411.85353.956070e-08
0.5523581.8532363.951155e-08
0.5543831.8529753.946223e-08
0.5564151.8527163.941273e-08
0.5584551.8524593.936304e-08
0.5605021.8522043.931318e-08
0.5625561.8519513.926313e-08
0.5646191.85173.921289e-08
0.5666881.8514513.916248e-08
0.5687651.8512033.911187e-08
0.570851.8509583.906109e-08
0.5729431.8507153.901011e-08
0.5750431.8504733.895895e-08
0.5771511.8502333.890760e-08
0.5792671.8499953.885607e-08
0.581391.8497593.880434e-08
0.5835211.8495253.875243e-08
0.585661.8492933.870032e-08
0.5878071.8490623.864803e-08
0.5899611.8488333.859554e-08
0.5921241.8486063.854286e-08
0.5942951.848383.848998e-08
0.5964731.8481563.843692e-08
0.5986591.8479343.838366e-08
0.61.8477993.835100e-08
0.6008541.8477143.805010e-08
0.6030561.8474953.727399e-08
0.6052671.8472783.649502e-08
0.6074861.8470623.571321e-08
0.6097121.8468483.492852e-08
0.6119471.8466363.414097e-08
0.6141911.8464253.335052e-08
0.6164421.8462163.255718e-08
0.6187021.8460083.176092e-08
0.620971.8458023.096175e-08
0.6232461.8455973.015965e-08
0.625531.8453942.935461e-08
0.6278231.8451932.854662e-08
0.6301251.8449922.773567e-08
0.6324341.8447942.692175e-08
0.6347531.8445962.610484e-08
0.6370791.84442.528493e-08
0.6394151.8442062.446202e-08
0.6417591.8440132.363610e-08
0.6441111.8438212.280715e-08
0.6464721.8436312.197516e-08
0.6488421.8434422.114011e-08
0.651.843352.073200e-08
0.651221.8432542.077090e-08
0.6536071.8430682.084700e-08
0.6560031.8428832.092338e-08
0.6584081.8426992.100004e-08
0.6608211.8425162.107698e-08
0.6632441.8423352.115421e-08
0.6656751.8421552.123171e-08
0.6681151.8419772.130951e-08
0.6705641.8417992.138758e-08
0.6730221.8416232.146594e-08
0.6754891.8414482.154459e-08
0.6779651.8412742.162353e-08
0.680451.8411022.170276e-08
0.6829451.840932.178227e-08
0.6854481.840762.186208e-08
0.6879611.8405912.194218e-08
0.6904821.8404232.202258e-08
0.6930131.8402562.210327e-08
0.6955541.8400912.218425e-08
0.6981031.8399262.226554e-08
0.71.8398052.232600e-08
0.7006621.8397632.234713e-08
0.7032311.83962.242906e-08
0.7058091.8394392.251129e-08
0.7083961.8392792.259382e-08
0.7109921.839122.267666e-08
0.7135991.8389612.275980e-08
0.7162141.8388042.284324e-08
0.718841.8386482.292699e-08
0.7214751.8384932.301105e-08
0.7241191.8383392.309541e-08
0.7267741.8381862.318008e-08
0.7294381.8380342.326507e-08
0.7321121.8378832.335036e-08
0.7347951.8377322.343597e-08
0.7374891.8375832.352189e-08
0.7401921.8374352.360813e-08
0.7429051.8372882.369468e-08
0.7456291.8371412.378155e-08
0.7483621.8369962.386874e-08
0.7511051.8368512.395625e-08
0.7538581.8367072.404408e-08
0.7566221.8365642.413223e-08
0.7593951.8364222.422070e-08
0.7621791.8362812.430950e-08
0.7649731.8361412.439863e-08
0.7677771.8360022.448808e-08
0.7705911.8358632.457786e-08
0.7734161.8357252.466796e-08
0.7762511.8355882.475840e-08
0.7790961.8354522.484917e-08
0.7819521.8353172.494027e-08
0.7848181.8351822.503171e-08
0.7876951.8350482.512348e-08
0.7905831.8349152.521559e-08
0.7934811.8347832.530803e-08
0.7963891.8346522.540082e-08
0.7993091.8345212.549394e-08
0.81.834492.551600e-08
0.8022381.8343912.544171e-08
0.8051791.8342622.534411e-08
0.8081311.8341332.524616e-08
0.8110931.8340052.514784e-08
0.8140661.8338782.504917e-08
0.817051.8337522.495013e-08
0.8200451.8336262.485073e-08
0.8230511.8335012.475097e-08
0.8260681.8333772.465084e-08
0.8290961.8332532.455034e-08
0.8321351.833132.444948e-08
0.8351861.8330082.434824e-08
0.8382471.8328862.424664e-08
0.841321.8327652.414466e-08
0.8444041.8326442.404231e-08
0.8474991.8325242.393958e-08
0.8506061.8324052.383648e-08
0.8537241.8322862.373300e-08
0.8568531.8321682.362914e-08
0.8599941.8320512.352490e-08
0.8631461.8319342.342027e-08
0.866311.8318182.331527e-08
0.8694861.8317022.320987e-08
0.8726731.8315872.310410e-08
0.8758721.8314722.299793e-08
0.8790821.8313582.289137e-08
0.8823051.8312452.278443e-08
0.8855391.8311322.267709e-08
0.8887851.8310192.256936e-08
0.8920431.8309072.246123e-08
0.8953131.8307962.235271e-08
0.8985951.8306852.224379e-08
0.9018891.8305742.213447e-08
0.9051951.8304642.202475e-08
0.9085131.8303552.191463e-08
0.9118431.8302462.180410e-08
0.9151861.8301372.169317e-08
0.918541.8300292.158183e-08
0.9219071.8299222.147009e-08
0.9252871.8298142.135793e-08
0.9286781.8297082.124536e-08
0.9320831.8296012.113238e-08
0.9354991.8294962.101899e-08
0.9389281.829392.090518e-08
0.942371.8292852.079096e-08
0.9458241.8291812.067631e-08
0.9492911.8290762.056125e-08
0.9527711.8289732.044576e-08
0.9562641.8288692.032985e-08
0.9597691.8287662.021351e-08
0.9632871.8286642.009675e-08
0.9668181.8285611.997956e-08
0.9703621.8284591.986194e-08
0.9739191.8283581.974389e-08
0.9774891.8282571.962541e-08
0.9810721.8281561.950649e-08
0.9846681.8280551.938714e-08
0.9882781.8279551.926735e-08
0.9919011.8278551.914712e-08
0.9955361.8277561.902644e-08
0.9991861.8276571.890533e-08
1.002851.8275581.878377e-08
1.006521.8274591.866177e-08
1.010211.8273611.853932e-08
1.013921.8272631.841642e-08
1.017631.8271651.829307e-08
1.021361.8270681.816927e-08
1.025111.8269711.804502e-08
1.028871.8268741.792031e-08
1.032641.8267771.779514e-08
1.036421.8266811.766951e-08
1.040221.8265851.754343e-08
1.044031.8264891.741688e-08
1.047861.8263941.728986e-08
1.05171.8262981.716238e-08
1.055561.8262031.703444e-08
1.059431.8261081.690602e-08
1.061.8260941.688700e-08
1.063311.8260141.693974e-08
1.067211.8259191.700184e-08
1.071121.8258251.706416e-08
1.075051.8257311.712671e-08
1.078991.8256371.718950e-08
1.082941.8255441.725251e-08
1.086911.825451.731575e-08
1.09091.8253571.737923e-08
1.094891.8252641.744294e-08
1.098911.8251711.750688e-08
1.102941.8250781.757105e-08
1.106981.8249861.763547e-08
1.111041.8248931.770011e-08
1.115111.8248011.776500e-08
1.11921.8247091.783012e-08
1.12331.8246171.789548e-08
1.127421.8245251.796108e-08
1.131551.8244331.802692e-08
1.13571.8243421.809301e-08
1.139861.824251.815933e-08
1.144041.8241591.822590e-08
1.148231.8240681.829271e-08
1.152441.8239771.835977e-08
1.156671.8238861.842707e-08
1.160911.8237951.849462e-08
1.165161.8237041.856241e-08
1.169431.8236131.863046e-08
1.173721.8235221.869875e-08
1.178021.8234321.876730e-08
1.182341.8233411.883610e-08
1.186671.823251.890514e-08
1.191021.823161.897445e-08
1.195391.823071.904400e-08
1.199771.8229791.911381e-08
1.204171.8228891.918388e-08
1.208581.8227981.925420e-08
1.213011.8227081.932478e-08
1.217461.8226181.939562e-08
1.221921.8225281.946672e-08
1.22641.8224381.953808e-08
1.23091.8223471.960970e-08
1.235411.8222571.968159e-08
1.239941.8221671.975374e-08
1.244481.8220771.982615e-08
1.249041.8219861.989883e-08
1.253621.8218961.997177e-08
1.258221.8218062.004498e-08
1.262831.8217162.011846e-08
1.267461.8216252.019221e-08
1.272111.8215352.026623e-08
1.276771.8214452.034052e-08
1.281451.8213542.041509e-08
1.286151.8212642.048992e-08
1.290861.8211732.056503e-08
1.295591.8210822.064042e-08
1.300341.8209922.071608e-08
1.305111.8209012.079202e-08
1.309891.820812.086824e-08
1.314691.8207192.094474e-08
1.319511.8206282.102151e-08
1.324351.8205372.109857e-08
1.32921.8204462.117592e-08
1.334081.8203552.125354e-08
1.338971.8202632.133145e-08
1.343881.8201722.140965e-08
1.34881.820082.148813e-08
1.353751.8199882.156690e-08
1.358711.8198962.164596e-08
1.363691.8198042.172531e-08
1.368691.8197122.180495e-08
1.37371.819622.188488e-08
1.378741.8195272.196510e-08
1.383791.8194352.204562e-08
1.388871.8193422.212643e-08
1.393961.8192492.220754e-08
1.399071.8191562.228895e-08
1.40421.8190622.237065e-08
1.409341.8189692.245266e-08
1.414511.8188752.253496e-08
1.419691.8187812.261757e-08
1.42491.8186872.270048e-08
1.430121.8185932.278370e-08
1.435361.8184992.286721e-08
1.440621.8184042.295104e-08
1.445911.8183092.303517e-08
1.451211.8182142.311961e-08
1.456521.8181192.320436e-08
1.461861.8180232.328942e-08
1.467221.8179272.337480e-08
1.47261.8178312.346048e-08
1.4781.8177352.354648e-08
1.483421.8176382.363280e-08
1.488851.8175412.371943e-08
1.494311.8174442.380638e-08
1.499791.8173472.389365e-08
1.51.8173432.389700e-08
1.505291.8172492.738809e-08
1.51081.8171513.103153e-08
1.516341.8170533.468832e-08
1.52191.8169543.835852e-08
1.527481.8168564.204217e-08
1.533081.8167574.573932e-08
1.53871.8166574.945003e-08
1.544341.8165575.317434e-08
1.551.8164575.691230e-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
—