Optical constants

Refractive index of K-VC78(M) (SUMITA)

K-VC78(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
1.66624
Extinction coefficient k
1.62283e-08
Permittivity ε1
2.77635
Permittivity ε2
5.40805e-08
Absorption coefficient α
0.00347057 cm⁻¹
Penetration depth δ = λ/(2πk)
5.76273e+09 nm
Abbe number Vd
55.123
Chromatic dispersion dn/dλ
-0.0623915 µm⁻¹
Group index ng
1.7029
Group velocity dispersion
109.848 fs²/mm
Dispersion parameter D
-599.281 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(M) (SUMITA): K-VC78(M)
sumita_k_vc78_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-VC78(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_vc78_m.range_nm)  # (360, 1550) nm
eps = sumita_k_vc78_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=2.7266185−0.012222673⁢λ2.0+0.017519329⁢λ−2.0+0.00043056615⁢λ−4.0−2.0621869×10-5⁢λ−6.0+1.440444×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C12.7266185
C2-0.012222673
C32.0
C40.017519329
C5-2.0
C60.00043056615
C7-4.0
C8-2.0621869e-05
C9-6.0
C101.440444e-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
1.66624
Vd
55.1
glass code
670554
density
value: 3440
thermal expansion
value: 8e-06, temperature range: 243 343; value: 1e-05, temperature range: 293 573
dPgF
-0.0075
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 = -3.64e-07 K⁻¹ at 1310 nm, dn/dT = -4.07e-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(M) (SUMITA), K-VC78(M): n and k versus wavelength
λ (µm)nk
0.361.6974939.613300e-08
0.361321.6971069.050455e-08
0.3626441.6967248.485547e-08
0.3639731.6963447.918568e-08
0.3653081.6959697.349511e-08
0.3666471.6955966.778368e-08
0.3679911.6952276.205131e-08
0.369341.6948615.629794e-08
0.371.6946845.348100e-08
0.3706931.6944995.294167e-08
0.3720521.694145.188478e-08
0.3734161.6937845.082401e-08
0.3747851.6934314.975936e-08
0.3761591.6930814.869081e-08
0.3775371.6927354.761833e-08
0.3789211.6923914.654193e-08
0.381.6921264.570300e-08
0.380311.6920514.544740e-08
0.3817041.6917134.429938e-08
0.3831041.6913794.314715e-08
0.3845081.6910474.199070e-08
0.3859171.6907184.083002e-08
0.3873321.6903923.966507e-08
0.3887521.6900693.849586e-08
0.391.6897883.746800e-08
0.3901771.6897493.737114e-08
0.3916071.6894313.658779e-08
0.3930431.6891163.580158e-08
0.3944831.6888043.501249e-08
0.3959291.6884953.422050e-08
0.3973811.6881883.342561e-08
0.3988371.6878843.262781e-08
0.41.6876443.199100e-08
0.4002991.6875823.201494e-08
0.4017671.6872833.213233e-08
0.4032391.6869873.225015e-08
0.4047171.6866923.236840e-08
0.4062011.6864013.248708e-08
0.407691.6861123.260620e-08
0.4091841.6858253.272575e-08
0.4106841.6855413.284575e-08
0.412191.6852593.296618e-08
0.4137011.6849793.308705e-08
0.4152171.6847023.320837e-08
0.4167391.6844273.333013e-08
0.4182671.6841543.345234e-08
0.41981.6838843.357500e-08
0.421.6838493.359100e-08
0.4213391.6836153.346140e-08
0.4228831.6833493.331190e-08
0.4244331.6830853.316185e-08
0.4259891.6828243.301124e-08
0.4275511.6825643.286009e-08
0.4291181.6823073.270838e-08
0.4306911.6820513.255612e-08
0.432271.6817983.240329e-08
0.4338541.6815473.224991e-08
0.4354451.6812983.209597e-08
0.4370411.681053.194146e-08
0.4386431.6808053.178638e-08
0.441.68063.165500e-08
0.4402511.6805623.153437e-08
0.4418641.6803213.075774e-08
0.4434841.6800812.997825e-08
0.445111.6798442.919591e-08
0.4467411.6796082.841071e-08
0.4483791.6793752.762262e-08
0.4500231.6791432.683164e-08
0.4516721.6789132.603777e-08
0.4533281.6786852.524099e-08
0.454991.6784592.444128e-08
0.4566571.6782342.363864e-08
0.4583311.6780112.283306e-08
0.461.6777922.203000e-08
0.4600111.677792.202836e-08
0.4616981.6775712.178521e-08
0.463391.6773532.154116e-08
0.4650891.6771372.129622e-08
0.4667931.6769232.105039e-08
0.4685051.6767112.080365e-08
0.4702221.67652.055601e-08
0.4719461.6762912.030745e-08
0.4736751.6760832.005799e-08
0.4754121.6758771.980762e-08
0.4771541.6756731.955632e-08
0.4789041.675471.930411e-08
0.481.6753441.914600e-08
0.4806591.6752691.917230e-08
0.4824211.6750691.924260e-08
0.4841891.6748711.931315e-08
0.4859641.6746741.938397e-08
0.4877461.6744791.945505e-08
0.4895331.6742851.952638e-08
0.4913281.6740931.959798e-08
0.4931291.6739021.966984e-08
0.4949361.6737131.974197e-08
0.4967511.6735251.981435e-08
0.4985721.6733391.988701e-08
0.51.6731941.994400e-08
0.5003991.6731541.995993e-08
0.5022331.672972.003312e-08
0.5040741.6727882.010657e-08
0.5059221.6726072.018030e-08
0.5077771.6724282.025429e-08
0.5096381.6722492.032856e-08
0.5115061.6720722.040310e-08
0.5133811.6718972.047791e-08
0.5152631.6717232.055299e-08
0.5171521.671552.062836e-08
0.5190471.6713782.070399e-08
0.520951.6712082.077991e-08
0.522861.6710392.085610e-08
0.5247761.6708712.093257e-08
0.52671.6707042.100933e-08
0.5286311.6705392.108636e-08
0.5305681.6703752.116368e-08
0.5325131.6702122.124128e-08
0.5344651.670052.131916e-08
0.5364241.6698892.139733e-08
0.5383911.669732.147579e-08
0.5403641.6695712.155453e-08
0.5423451.6694142.163356e-08
0.5443331.6692582.171289e-08
0.5463281.6691032.179250e-08
0.5483311.6689492.187240e-08
0.551.6688232.193900e-08
0.5503411.6687972.188722e-08
0.5523581.6686452.158083e-08
0.5543831.6684952.127331e-08
0.5564151.6683452.096467e-08
0.5584551.6681972.065490e-08
0.5605021.6680492.034399e-08
0.5625561.6679032.003193e-08
0.5646191.6677581.971874e-08
0.5666881.6676141.940440e-08
0.5687651.6674711.908890e-08
0.570851.6673281.877225e-08
0.5729431.6671871.845444e-08
0.5750431.6670471.813547e-08
0.5771511.6669081.781532e-08
0.5792671.6667691.749400e-08
0.581391.6666321.717150e-08
0.5835211.6664961.684782e-08
0.585661.666361.652296e-08
0.5878071.6662261.619690e-08
0.5899611.6660921.586965e-08
0.5921241.6659591.554120e-08
0.5942951.6658281.521154e-08
0.5964731.6656971.488068e-08
0.5986591.6655671.454860e-08
0.61.6654881.434500e-08
0.6008541.6654381.427686e-08
0.6030561.6653091.410110e-08
0.6052671.6651821.392470e-08
0.6074861.6650551.374765e-08
0.6097121.664931.356995e-08
0.6119471.6648051.339160e-08
0.6141911.6646811.321259e-08
0.6164421.6645581.303293e-08
0.6187021.6644351.285261e-08
0.620971.6643141.267163e-08
0.6232461.6641931.248999e-08
0.625531.6640731.230768e-08
0.6278231.6639541.212470e-08
0.6301251.6638351.194105e-08
0.6324341.6637181.175673e-08
0.6347531.6636011.157173e-08
0.6370791.6634851.138606e-08
0.6394151.6633691.119970e-08
0.6417591.6632541.101266e-08
0.6441111.6631411.082494e-08
0.6464721.6630271.063653e-08
0.6488421.6629151.044742e-08
0.651.662861.035500e-08
0.651221.6628031.037445e-08
0.6536071.6626921.041250e-08
0.6560031.6625811.045069e-08
0.6584081.6624721.048902e-08
0.6608211.6623631.052749e-08
0.6632441.6622541.056610e-08
0.6656751.6621471.060486e-08
0.6681151.662041.064375e-08
0.6705641.6619331.068279e-08
0.6730221.6618271.072197e-08
0.6754891.6617221.076130e-08
0.6779651.6616181.080077e-08
0.680451.6615141.084038e-08
0.6829451.6614111.088014e-08
0.6854481.6613081.092004e-08
0.6879611.6612061.096009e-08
0.6904821.6611051.100029e-08
0.6930131.6610041.104063e-08
0.6955541.6609041.108113e-08
0.6981031.6608041.112177e-08
0.71.6607311.115200e-08
0.7006621.6607051.116255e-08
0.7032311.6606071.120347e-08
0.7058091.6605091.124453e-08
0.7083961.6604111.128574e-08
0.7109921.6603141.132711e-08
0.7135991.6602181.136863e-08
0.7162141.6601221.141030e-08
0.718841.6600271.145212e-08
0.7214751.6599321.149409e-08
0.7241191.6598381.153622e-08
0.7267741.6597451.157851e-08
0.7294381.6596521.162095e-08
0.7321121.6595591.166354e-08
0.7347951.6594671.170629e-08
0.7374891.6593751.174920e-08
0.7401921.6592841.179226e-08
0.7429051.6591931.183548e-08
0.7456291.6591031.187886e-08
0.7483621.6590131.192240e-08
0.7511051.6589241.196610e-08
0.7538581.6588351.200996e-08
0.7566221.6587471.205398e-08
0.7593951.6586591.209816e-08
0.7621791.6585721.214251e-08
0.7649731.6584851.218701e-08
0.7677771.6583981.223168e-08
0.7705911.6583121.227652e-08
0.7734161.6582261.232151e-08
0.7762511.6581411.236668e-08
0.7790961.6580561.241200e-08
0.7819521.6579711.245750e-08
0.7848181.6578871.250316e-08
0.7876951.6578031.254899e-08
0.7905831.657721.259498e-08
0.7934811.6576371.264115e-08
0.7963891.6575551.268748e-08
0.7993091.6574731.273398e-08
0.81.6574531.274500e-08
0.8022381.6573911.278066e-08
0.8051791.6573091.282751e-08
0.8081311.6572281.287453e-08
0.8110931.6571481.292172e-08
0.8140661.6570671.296908e-08
0.817051.6569871.301662e-08
0.8200451.6569081.306433e-08
0.8230511.6568281.311222e-08
0.8260681.6567491.316028e-08
0.8290961.6566711.320852e-08
0.8321351.6565921.325694e-08
0.8351861.6565141.330553e-08
0.8382471.6564361.335431e-08
0.841321.6563591.340326e-08
0.8444041.6562821.345239e-08
0.8474991.6562051.350169e-08
0.8506061.6561291.355119e-08
0.8537241.6560521.360086e-08
0.8568531.6559761.365071e-08
0.8599941.6559011.370075e-08
0.8631461.6558251.375097e-08
0.866311.655751.380137e-08
0.8694861.6556761.385196e-08
0.8726731.6556011.390274e-08
0.8758721.6555271.395370e-08
0.8790821.6554531.400484e-08
0.8823051.6553791.405618e-08
0.8855391.6553051.410770e-08
0.8887851.6552321.415941e-08
0.8920431.6551591.421132e-08
0.8953131.6550861.426341e-08
0.8985951.6550141.431569e-08
0.9018891.6549411.436817e-08
0.9051951.6548691.442083e-08
0.9085131.6547971.447369e-08
0.9118431.6547251.452675e-08
0.9151861.6546541.457999e-08
0.918541.6545831.463344e-08
0.9219071.6545121.468708e-08
0.9252871.6544411.474091e-08
0.9286781.654371.479494e-08
0.9320831.6542991.484918e-08
0.9354991.6542291.490361e-08
0.9389281.6541591.495824e-08
0.942371.6540891.501307e-08
0.9458241.6540191.506810e-08
0.9492911.653951.512333e-08
0.9527711.653881.517876e-08
0.9562641.6538111.523440e-08
0.9597691.6537421.529024e-08
0.9632871.6536731.534629e-08
0.9668181.6536041.540254e-08
0.9703621.6535351.545900e-08
0.9739191.6534661.551567e-08
0.9774891.6533981.557254e-08
0.9810721.653331.562962e-08
0.9846681.6532621.568691e-08
0.9882781.6531941.574441e-08
0.9919011.6531261.580212e-08
0.9955361.6530581.586005e-08
0.9991861.652991.591818e-08
1.002851.6529231.597653e-08
1.006521.6528551.603509e-08
1.010211.6527881.609387e-08
1.013921.652721.615286e-08
1.017631.6526531.621207e-08
1.021361.6525861.627150e-08
1.025111.6525191.633114e-08
1.028871.6524521.639100e-08
1.032641.6523851.645108e-08
1.036421.6523191.651139e-08
1.040221.6522521.657191e-08
1.044031.6521851.663265e-08
1.047861.6521191.669362e-08
1.05171.6520521.675481e-08
1.055561.6519861.681623e-08
1.059431.6519191.687787e-08
1.061.6519091.688700e-08
1.063311.6518531.721010e-08
1.067211.6517871.759053e-08
1.071121.651721.797235e-08
1.075051.6516541.835558e-08
1.078991.6515881.874021e-08
1.082941.6515221.912625e-08
1.086911.6514551.951371e-08
1.09091.6513891.990258e-08
1.094891.6513232.029288e-08
1.098911.6512572.068462e-08
1.102941.6511912.107778e-08
1.106981.6511252.147239e-08
1.111041.6510592.186845e-08
1.115111.6509932.226596e-08
1.11921.6509272.266492e-08
1.12331.6508612.306535e-08
1.127421.6507952.346724e-08
1.131551.6507282.387061e-08
1.13571.6506622.427546e-08
1.139861.6505962.468179e-08
1.144041.650532.508961e-08
1.148231.6504642.549892e-08
1.152441.6503982.590974e-08
1.156671.6503312.632206e-08
1.160911.6502652.673589e-08
1.165161.6501992.715124e-08
1.169431.6501322.756812e-08
1.173721.6500662.798652e-08
1.178021.6499992.840645e-08
1.182341.6499332.882792e-08
1.186671.6498662.925094e-08
1.191021.6497992.967551e-08
1.195391.6497323.010164e-08
1.199771.6496663.052932e-08
1.204171.6495993.095858e-08
1.208581.6495323.138941e-08
1.213011.6494653.182182e-08
1.217461.6493973.225581e-08
1.221921.649333.269139e-08
1.22641.6492633.312857e-08
1.23091.6491953.356735e-08
1.235411.6491283.400775e-08
1.239941.649063.444975e-08
1.244481.6489923.489338e-08
1.249041.6489243.533863e-08
1.253621.6488563.578551e-08
1.258221.6487883.623404e-08
1.262831.648723.668420e-08
1.267461.6486513.713602e-08
1.272111.6485833.758949e-08
1.276771.6485143.804463e-08
1.281451.6484453.850143e-08
1.286151.6483763.895991e-08
1.290861.6483073.942006e-08
1.295591.6482383.988191e-08
1.300341.6481684.034545e-08
1.305111.6480994.081069e-08
1.309891.6480294.127763e-08
1.314691.6479594.174628e-08
1.319511.6478894.221665e-08
1.324351.6478194.268875e-08
1.32921.6477484.316258e-08
1.334081.6476774.363814e-08
1.338971.6476074.411545e-08
1.343881.6475364.459450e-08
1.34881.6474644.507532e-08
1.353751.6473934.555789e-08
1.358711.6473214.604224e-08
1.363691.6472494.652835e-08
1.368691.6471774.701626e-08
1.37371.6471054.750595e-08
1.378741.6470334.799743e-08
1.383791.646964.849072e-08
1.388871.6468874.898581e-08
1.393961.6468144.948272e-08
1.399071.646744.998145e-08
1.40421.6466675.048201e-08
1.409341.6465935.098440e-08
1.414511.6465195.148864e-08
1.419691.6464445.199472e-08
1.42491.646375.250266e-08
1.430121.6462955.301246e-08
1.435361.646225.352413e-08
1.440621.6461445.403768e-08
1.445911.6460685.455311e-08
1.451211.6459935.507042e-08
1.456521.6459165.558964e-08
1.461861.645845.611075e-08
1.467221.6457635.663378e-08
1.47261.6456865.715872e-08
1.4781.6456085.768559e-08
1.483421.6455315.821439e-08
1.488851.6454525.874513e-08
1.494311.6453745.927781e-08
1.499791.6452955.981245e-08
1.51.6452925.983300e-08
1.505291.6452166.467371e-08
1.51081.6451376.972567e-08
1.516341.6450587.479614e-08
1.52191.6449787.988520e-08
1.527481.6448978.499292e-08
1.533081.6448179.011936e-08
1.53871.6447369.526459e-08
1.544341.6446541.004287e-07
1.551.6445731.056117e-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
—