Optical constants

Refractive index of K-VC78 (SUMITA)

K-VC78: 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
1.66954
Extinction coefficient k
1.62283e-08
Permittivity ε1
2.78738
Permittivity ε2
5.41878e-08
Absorption coefficient α
0.00347057 cm⁻¹
Penetration depth δ = λ/(2πk)
5.76273e+09 nm
Abbe number Vd
55.427
Chromatic dispersion dn/dλ
-0.062361 µm⁻¹
Group index ng
1.70619
Group velocity dispersion
109.816 fs²/mm
Dispersion parameter D
-599.104 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-VC78 (SUMITA): K-VC78
sumita_k_vc78 = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-VC78", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_vc78.range_nm)  # (360, 1550) nm
eps = sumita_k_vc78.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=2.7376882−0.012269245⁢λ2.0+0.017439403⁢λ−2.0+0.00047088707⁢λ−4.0−2.7150134×10-5⁢λ−6.0+1.8172045×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.7376882
C2-0.012269245
C32.0
C40.017439403
C5-2.0
C60.00047088707
C7-4.0
C8-2.7150134e-05
C9-6.0
C101.8172045e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1e-06 1.6e-08 -1.38e-10 5.07e-07 3.13e-10 0.19
nd
1.66955
Vd
55.4
glass code
670554
density
value: 3440
thermal expansion
value: 8e-06, temperature range: 243 343; value: 1e-05, temperature range: 293 573
dPgF
-0.007
resistance
acid: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.08e-07 K⁻¹ at 633 nm, dn/dT = -3.65e-07 K⁻¹ at 1310 nm, dn/dT = -4.09e-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-VC78 (SUMITA), K-VC78: n and k versus wavelength
λ (µm)nk
0.361.7007849.613300e-08
0.361321.7003979.050455e-08
0.3626441.7000148.485547e-08
0.3639731.6996357.918568e-08
0.3653081.6992587.349511e-08
0.3666471.6988866.778368e-08
0.3679911.6985176.205131e-08
0.369341.6981515.629794e-08
0.371.6979735.348100e-08
0.3706931.6977885.294167e-08
0.3720521.6974295.188478e-08
0.3734161.6970735.082401e-08
0.3747851.696724.975936e-08
0.3761591.696374.869081e-08
0.3775371.6960244.761833e-08
0.3789211.695684.654193e-08
0.381.6954154.570300e-08
0.380311.695344.544740e-08
0.3817041.6950024.429938e-08
0.3831041.6946684.314715e-08
0.3845081.6943364.199070e-08
0.3859171.6940084.083002e-08
0.3873321.6936823.966507e-08
0.3887521.6933593.849586e-08
0.391.6930783.746800e-08
0.3901771.6930393.737114e-08
0.3916071.6927213.658779e-08
0.3930431.6924073.580158e-08
0.3944831.6920953.501249e-08
0.3959291.6917853.422050e-08
0.3973811.6914793.342561e-08
0.3988371.6911753.262781e-08
0.41.6909353.199100e-08
0.4002991.6908733.201494e-08
0.4017671.6905743.213233e-08
0.4032391.6902783.225015e-08
0.4047171.6899843.236840e-08
0.4062011.6896933.248708e-08
0.407691.6894043.260620e-08
0.4091841.6891173.272575e-08
0.4106841.6888333.284575e-08
0.412191.6885523.296618e-08
0.4137011.6882723.308705e-08
0.4152171.6879953.320837e-08
0.4167391.687723.333013e-08
0.4182671.6874483.345234e-08
0.41981.6871783.357500e-08
0.421.6871433.359100e-08
0.4213391.686913.346140e-08
0.4228831.6866443.331190e-08
0.4244331.686383.316185e-08
0.4259891.6861193.301124e-08
0.4275511.6858593.286009e-08
0.4291181.6856023.270838e-08
0.4306911.6853473.255612e-08
0.432271.6850943.240329e-08
0.4338541.6848433.224991e-08
0.4354451.6845943.209597e-08
0.4370411.6843473.194146e-08
0.4386431.6841023.178638e-08
0.441.6838973.165500e-08
0.4402511.6838593.153437e-08
0.4418641.6836183.075774e-08
0.4434841.6833792.997825e-08
0.445111.6831412.919591e-08
0.4467411.6829062.841071e-08
0.4483791.6826732.762262e-08
0.4500231.6824412.683164e-08
0.4516721.6822112.603777e-08
0.4533281.6819832.524099e-08
0.454991.6817572.444128e-08
0.4566571.6815332.363864e-08
0.4583311.681312.283306e-08
0.461.6810912.203000e-08
0.4600111.6810892.202836e-08
0.4616981.680872.178521e-08
0.463391.6806532.154116e-08
0.4650891.6804372.129622e-08
0.4667931.6802232.105039e-08
0.4685051.6800112.080365e-08
0.4702221.67982.055601e-08
0.4719461.6795912.030745e-08
0.4736751.6793842.005799e-08
0.4754121.6791781.980762e-08
0.4771541.6789731.955632e-08
0.4789041.6787711.930411e-08
0.481.6786451.914600e-08
0.4806591.678571.917230e-08
0.4824211.678371.924260e-08
0.4841891.6781721.931315e-08
0.4859641.6779761.938397e-08
0.4877461.6777811.945505e-08
0.4895331.6775871.952638e-08
0.4913281.6773951.959798e-08
0.4931291.6772041.966984e-08
0.4949361.6770151.974197e-08
0.4967511.6768271.981435e-08
0.4985721.6766411.988701e-08
0.51.6764961.994400e-08
0.5003991.6764561.995993e-08
0.5022331.6762732.003312e-08
0.5040741.6760912.010657e-08
0.5059221.675912.018030e-08
0.5077771.675732.025429e-08
0.5096381.6755522.032856e-08
0.5115061.6753762.040310e-08
0.5133811.67522.047791e-08
0.5152631.6750262.055299e-08
0.5171521.6748532.062836e-08
0.5190471.6746822.070399e-08
0.520951.6745112.077991e-08
0.522861.6743422.085610e-08
0.5247761.6741752.093257e-08
0.52671.6740082.100933e-08
0.5286311.6738432.108636e-08
0.5305681.6736792.116368e-08
0.5325131.6735162.124128e-08
0.5344651.6733542.131916e-08
0.5364241.6731932.139733e-08
0.5383911.6730342.147579e-08
0.5403641.6728762.155453e-08
0.5423451.6727192.163356e-08
0.5443331.6725632.171289e-08
0.5463281.6724082.179250e-08
0.5483311.6722542.187240e-08
0.551.6721272.193900e-08
0.5503411.6721022.188722e-08
0.5523581.671952.158083e-08
0.5543831.67182.127331e-08
0.5564151.671652.096467e-08
0.5584551.6715022.065490e-08
0.5605021.6713552.034399e-08
0.5625561.6712082.003193e-08
0.5646191.6710631.971874e-08
0.5666881.6709191.940440e-08
0.5687651.6707761.908890e-08
0.570851.6706341.877225e-08
0.5729431.6704931.845444e-08
0.5750431.6703531.813547e-08
0.5771511.6702131.781532e-08
0.5792671.6700751.749400e-08
0.581391.6699381.717150e-08
0.5835211.6698021.684782e-08
0.585661.6696661.652296e-08
0.5878071.6695321.619690e-08
0.5899611.6693981.586965e-08
0.5921241.6692661.554120e-08
0.5942951.6691341.521154e-08
0.5964731.6690031.488068e-08
0.5986591.6688731.454860e-08
0.61.6687941.434500e-08
0.6008541.6687441.427686e-08
0.6030561.6686161.410110e-08
0.6052671.6684891.392470e-08
0.6074861.6683621.374765e-08
0.6097121.6682361.356995e-08
0.6119471.6681121.339160e-08
0.6141911.6679881.321259e-08
0.6164421.6678651.303293e-08
0.6187021.6677421.285261e-08
0.620971.6676211.267163e-08
0.6232461.66751.248999e-08
0.625531.667381.230768e-08
0.6278231.6672611.212470e-08
0.6301251.6671431.194105e-08
0.6324341.6670251.175673e-08
0.6347531.6669081.157173e-08
0.6370791.6667921.138606e-08
0.6394151.6666771.119970e-08
0.6417591.6665621.101266e-08
0.6441111.6664481.082494e-08
0.6464721.6663351.063653e-08
0.6488421.6662231.044742e-08
0.651.6661681.035500e-08
0.651221.6661111.037445e-08
0.6536071.6661.041250e-08
0.6560031.665891.045069e-08
0.6584081.665781.048902e-08
0.6608211.6656711.052749e-08
0.6632441.6655631.056610e-08
0.6656751.6654551.060486e-08
0.6681151.6653481.064375e-08
0.6705641.6652421.068279e-08
0.6730221.6651361.072197e-08
0.6754891.6650311.076130e-08
0.6779651.6649271.080077e-08
0.680451.6648231.084038e-08
0.6829451.664721.088014e-08
0.6854481.6646171.092004e-08
0.6879611.6645151.096009e-08
0.6904821.6644141.100029e-08
0.6930131.6643131.104063e-08
0.6955541.6642131.108113e-08
0.6981031.6641131.112177e-08
0.71.664041.115200e-08
0.7006621.6640141.116255e-08
0.7032311.6639161.120347e-08
0.7058091.6638181.124453e-08
0.7083961.6637211.128574e-08
0.7109921.6636241.132711e-08
0.7135991.6635281.136863e-08
0.7162141.6634321.141030e-08
0.718841.6633371.145212e-08
0.7214751.6632421.149409e-08
0.7241191.6631481.153622e-08
0.7267741.6630551.157851e-08
0.7294381.6629621.162095e-08
0.7321121.6628691.166354e-08
0.7347951.6627771.170629e-08
0.7374891.6626861.174920e-08
0.7401921.6625941.179226e-08
0.7429051.6625041.183548e-08
0.7456291.6624141.187886e-08
0.7483621.6623241.192240e-08
0.7511051.6622351.196610e-08
0.7538581.6621461.200996e-08
0.7566221.6620581.205398e-08
0.7593951.661971.209816e-08
0.7621791.6618831.214251e-08
0.7649731.6617961.218701e-08
0.7677771.6617091.223168e-08
0.7705911.6616231.227652e-08
0.7734161.6615381.232151e-08
0.7762511.6614521.236668e-08
0.7790961.6613671.241200e-08
0.7819521.6612831.245750e-08
0.7848181.6611991.250316e-08
0.7876951.6611151.254899e-08
0.7905831.6610321.259498e-08
0.7934811.6609491.264115e-08
0.7963891.6608671.268748e-08
0.7993091.6607851.273398e-08
0.81.6607651.274500e-08
0.8022381.6607031.278066e-08
0.8051791.6606221.282751e-08
0.8081311.6605411.287453e-08
0.8110931.660461.292172e-08
0.8140661.660381.296908e-08
0.817051.66031.301662e-08
0.8200451.660221.306433e-08
0.8230511.6601411.311222e-08
0.8260681.6600621.316028e-08
0.8290961.6599841.320852e-08
0.8321351.6599051.325694e-08
0.8351861.6598271.330553e-08
0.8382471.659751.335431e-08
0.841321.6596721.340326e-08
0.8444041.6595951.345239e-08
0.8474991.6595191.350169e-08
0.8506061.6594421.355119e-08
0.8537241.6593661.360086e-08
0.8568531.659291.365071e-08
0.8599941.6592151.370075e-08
0.8631461.6591391.375097e-08
0.866311.6590641.380137e-08
0.8694861.658991.385196e-08
0.8726731.6589151.390274e-08
0.8758721.6588411.395370e-08
0.8790821.6587671.400484e-08
0.8823051.6586931.405618e-08
0.8855391.658621.410770e-08
0.8887851.6585471.415941e-08
0.8920431.6584741.421132e-08
0.8953131.6584011.426341e-08
0.8985951.6583291.431569e-08
0.9018891.6582561.436817e-08
0.9051951.6581841.442083e-08
0.9085131.6581121.447369e-08
0.9118431.6580411.452675e-08
0.9151861.6579691.457999e-08
0.918541.6578981.463344e-08
0.9219071.6578271.468708e-08
0.9252871.6577561.474091e-08
0.9286781.6576861.479494e-08
0.9320831.6576151.484918e-08
0.9354991.6575451.490361e-08
0.9389281.6574751.495824e-08
0.942371.6574051.501307e-08
0.9458241.6573351.506810e-08
0.9492911.6572661.512333e-08
0.9527711.6571961.517876e-08
0.9562641.6571271.523440e-08
0.9597691.6570581.529024e-08
0.9632871.6569891.534629e-08
0.9668181.656921.540254e-08
0.9703621.6568521.545900e-08
0.9739191.6567831.551567e-08
0.9774891.6567151.557254e-08
0.9810721.6566471.562962e-08
0.9846681.6565781.568691e-08
0.9882781.656511.574441e-08
0.9919011.6564431.580212e-08
0.9955361.6563751.586005e-08
0.9991861.6563071.591818e-08
1.002851.656241.597653e-08
1.006521.6561721.603509e-08
1.010211.6561051.609387e-08
1.013921.6560381.615286e-08
1.017631.6559711.621207e-08
1.021361.6559041.627150e-08
1.025111.6558371.633114e-08
1.028871.655771.639100e-08
1.032641.6557031.645108e-08
1.036421.6556361.651139e-08
1.040221.655571.657191e-08
1.044031.6555031.663265e-08
1.047861.6554371.669362e-08
1.05171.655371.675481e-08
1.055561.6553041.681623e-08
1.059431.6552371.687787e-08
1.061.6552281.688700e-08
1.063311.6551711.721010e-08
1.067211.6551051.759053e-08
1.071121.6550391.797235e-08
1.075051.6549721.835558e-08
1.078991.6549061.874021e-08
1.082941.654841.912625e-08
1.086911.6547741.951371e-08
1.09091.6547081.990258e-08
1.094891.6546422.029288e-08
1.098911.6545762.068462e-08
1.102941.654512.107778e-08
1.106981.6544442.147239e-08
1.111041.6543782.186845e-08
1.115111.6543122.226596e-08
1.11921.6542462.266492e-08
1.12331.654182.306535e-08
1.127421.6541142.346724e-08
1.131551.6540482.387061e-08
1.13571.6539822.427546e-08
1.139861.6539162.468179e-08
1.144041.6538492.508961e-08
1.148231.6537832.549892e-08
1.152441.6537172.590974e-08
1.156671.6536512.632206e-08
1.160911.6535852.673589e-08
1.165161.6535182.715124e-08
1.169431.6534522.756812e-08
1.173721.6533852.798652e-08
1.178021.6533192.840645e-08
1.182341.6532522.882792e-08
1.186671.6531862.925094e-08
1.191021.6531192.967551e-08
1.195391.6530523.010164e-08
1.199771.6529863.052932e-08
1.204171.6529193.095858e-08
1.208581.6528523.138941e-08
1.213011.6527853.182182e-08
1.217461.6527173.225581e-08
1.221921.652653.269139e-08
1.22641.6525833.312857e-08
1.23091.6525153.356735e-08
1.235411.6524483.400775e-08
1.239941.652383.444975e-08
1.244481.6523123.489338e-08
1.249041.6522443.533863e-08
1.253621.6521763.578551e-08
1.258221.6521083.623404e-08
1.262831.652043.668420e-08
1.267461.6519723.713602e-08
1.272111.6519033.758949e-08
1.276771.6518343.804463e-08
1.281451.6517663.850143e-08
1.286151.6516973.895991e-08
1.290861.6516283.942006e-08
1.295591.6515583.988191e-08
1.300341.6514894.034545e-08
1.305111.6514194.081069e-08
1.309891.6513494.127763e-08
1.314691.651284.174628e-08
1.319511.6512094.221665e-08
1.324351.6511394.268875e-08
1.32921.6510694.316258e-08
1.334081.6509984.363814e-08
1.338971.6509274.411545e-08
1.343881.6508564.459450e-08
1.34881.6507854.507532e-08
1.353751.6507144.555789e-08
1.358711.6506424.604224e-08
1.363691.650574.652835e-08
1.368691.6504984.701626e-08
1.37371.6504264.750595e-08
1.378741.6503534.799743e-08
1.383791.6502814.849072e-08
1.388871.6502084.898581e-08
1.393961.6501344.948272e-08
1.399071.6500614.998145e-08
1.40421.6499875.048201e-08
1.409341.6499135.098440e-08
1.414511.6498395.148864e-08
1.419691.6497655.199472e-08
1.42491.649695.250266e-08
1.430121.6496155.301246e-08
1.435361.649545.352413e-08
1.440621.6494655.403768e-08
1.445911.6493895.455311e-08
1.451211.6493135.507042e-08
1.456521.6492375.558964e-08
1.461861.649165.611075e-08
1.467221.6490835.663378e-08
1.47261.6490065.715872e-08
1.4781.6489295.768559e-08
1.483421.6488515.821439e-08
1.488851.6487735.874513e-08
1.494311.6486945.927781e-08
1.499791.6486165.981245e-08
1.51.6486135.983300e-08
1.505291.6485376.467371e-08
1.51081.6484576.972567e-08
1.516341.6483787.479614e-08
1.52191.6482987.988520e-08
1.527481.6482178.499292e-08
1.533081.6481379.011936e-08
1.53871.6480569.526459e-08
1.544341.6479741.004287e-07
1.551.6478931.056117e-07

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
—