Optical constants

Refractive index of K-VC181(M) (SUMITA)

K-VC181(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
1.80614
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.26213
Permittivity ε2
3.38157e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
41.046
Chromatic dispersion dn/dλ
-0.100192 µm⁻¹
Group index ng
1.86501
Group velocity dispersion
189.595 fs²/mm
Dispersion parameter D
-1034.34 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-VC181(M) (SUMITA): K-VC181(M)
sumita_k_vc181_m = ls.fetch_refractiveindex("specs", "SUMITA-optical", "K-VC181(M)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(sumita_k_vc181_m.range_nm)  # (360, 1550) nm
eps = sumita_k_vc181_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=3.1735917−0.01381902⁢λ2.0+0.029219972⁢λ−2.0+0.0011233335⁢λ−4.0−4.4143284×10-5⁢λ−6.0+4.6335289×10-6⁢λ−8.0

Valid from 0.36 to 1.55 µm.

Coefficients as stored
CiValue
C13.1735917
C2-0.01381902
C32.0
C40.029219972
C5-2.0
C60.0011233335
C7-4.0
C8-4.4143284e-05
C9-6.0
C104.6335289e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 6.99e-06 2.24e-08 -2.94e-10 8.37e-07 3.41e-10 0.213
nd
1.80614
Vd
41.1
glass code
811411
density
value: 4710
thermal expansion
value: 5.7e-06, temperature range: 243 343; value: 7.9e-06, temperature range: 293 573
dPgF
-0.0061
resistance
acid: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 5.83e-06 K⁻¹ at 633 nm, dn/dT = 4.56e-06 K⁻¹ at 1310 nm, dn/dT = 4.45e-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-VC181(M) (SUMITA), K-VC181(M): n and k versus wavelength
λ (µm)nk
0.361.8601851.194700e-06
0.361321.859471.118440e-06
0.3626441.8587621.041901e-06
0.3639731.8580619.650816e-07
0.3653081.8573698.879803e-07
0.3666471.8566848.105964e-07
0.3679911.8560067.329288e-07
0.369341.8553366.549765e-07
0.371.8550116.168100e-07
0.3706931.8546725.987106e-07
0.3720521.8540165.632427e-07
0.3734161.8533665.276448e-07
0.3747851.8527244.919164e-07
0.3761591.8520884.560570e-07
0.3775371.8514594.200662e-07
0.3789211.8508363.839435e-07
0.381.8503573.557900e-07
0.380311.850223.516339e-07
0.3817041.849613.329673e-07
0.3831041.8490063.142323e-07
0.3845081.8484092.954286e-07
0.3859171.8478182.765559e-07
0.3873321.8472322.576141e-07
0.3887521.8466532.386029e-07
0.391.846152.218900e-07
0.3901771.8460792.206168e-07
0.3916071.8455112.103205e-07
0.3930431.8449491.999865e-07
0.3944831.8443931.896146e-07
0.3959291.8438411.792047e-07
0.3973811.8432961.687566e-07
0.3988371.8427561.582702e-07
0.41.842331.499000e-07
0.4002991.8422211.489231e-07
0.4017671.8416911.441336e-07
0.4032391.8411671.393266e-07
0.4047171.8406471.345019e-07
0.4062011.8401331.296596e-07
0.407691.8396241.247995e-07
0.4091841.8391191.199216e-07
0.4106841.8386191.150258e-07
0.412191.8381251.101120e-07
0.4137011.8376341.051803e-07
0.4152171.8371491.002305e-07
0.4167391.8366689.526250e-08
0.4182671.8361929.027632e-08
0.41981.835728.527187e-08
0.421.8356598.461900e-08
0.4213391.8352538.297340e-08
0.4228831.834798.107502e-08
0.4244331.8343317.916969e-08
0.4259891.8338777.725736e-08
0.4275511.8334267.533803e-08
0.4291181.832987.341166e-08
0.4306911.8325397.147823e-08
0.432271.8321016.953771e-08
0.4338541.8316676.759008e-08
0.4354451.8312376.563532e-08
0.4370411.8308116.367338e-08
0.4386431.8303896.170425e-08
0.441.8300366.003600e-08
0.4402511.8299715.974467e-08
0.4418641.8295575.786896e-08
0.4434841.8291465.598638e-08
0.445111.8287395.409689e-08
0.4467411.8283365.220048e-08
0.4483791.8279365.029712e-08
0.4500231.827544.838678e-08
0.4516721.8271484.646944e-08
0.4533281.8267594.454507e-08
0.454991.8263734.261365e-08
0.4566571.8259914.067515e-08
0.4583311.8256123.872954e-08
0.461.8252393.679000e-08
0.4600111.8252373.678653e-08
0.4616981.8248653.627147e-08
0.463391.8244963.575453e-08
0.4650891.824133.523569e-08
0.4667931.8237683.471495e-08
0.4685051.8234093.419229e-08
0.4702221.8230533.366773e-08
0.4719461.8226993.314124e-08
0.4736751.822353.261282e-08
0.4754121.8220033.208246e-08
0.4771541.8216593.155016e-08
0.4789041.8213183.101591e-08
0.481.8211063.068100e-08
0.4806591.820983.006395e-08
0.4824211.8206442.841428e-08
0.4841891.8203122.675855e-08
0.4859641.8199832.509676e-08
0.4877461.8196562.342887e-08
0.4895331.8193322.175487e-08
0.4913281.8190112.007474e-08
0.4931291.8186931.838845e-08
0.4949361.8183771.669597e-08
0.4967511.8180641.499729e-08
0.4985721.8177531.329239e-08
0.51.8175121.195500e-08
0.5003991.8174451.192951e-08
0.5022331.817141.181238e-08
0.5040741.8168371.169483e-08
0.5059221.8165371.157684e-08
0.5077771.816241.145843e-08
0.5096381.8159441.133957e-08
0.5115061.8156521.122028e-08
0.5133811.8153611.110056e-08
0.5152631.8150731.098040e-08
0.5171521.8147881.085979e-08
0.5190471.8145041.073874e-08
0.520951.8142241.061725e-08
0.522861.8139451.049532e-08
0.5247761.8136691.037294e-08
0.52671.8133951.025010e-08
0.5286311.8131231.012682e-08
0.5305681.8128531.000309e-08
0.5325131.8125869.878902e-09
0.5344651.812329.754260e-09
0.5364241.8120579.629160e-09
0.5383911.8117969.503603e-09
0.5403641.8115379.377585e-09
0.5423451.811289.251105e-09
0.5443331.8110259.124161e-09
0.5463281.8107738.996753e-09
0.5483311.8105228.868877e-09
0.551.8103158.762300e-09
0.5503411.8102738.767731e-09
0.5523581.8100268.799871e-09
0.5543831.8097828.832130e-09
0.5564151.8095398.864506e-09
0.5584551.8092988.897001e-09
0.5605021.8090598.929615e-09
0.5625561.8088218.962348e-09
0.5646191.8085868.995202e-09
0.5666881.8083539.028176e-09
0.5687651.8081219.061271e-09
0.570851.8078919.094487e-09
0.5729431.8076639.127825e-09
0.5750431.8074379.161285e-09
0.5771511.8072129.194868e-09
0.5792671.8069899.228574e-09
0.581391.8067689.262404e-09
0.5835211.8065499.296357e-09
0.585661.8063319.330435e-09
0.5878071.8061159.364638e-09
0.5899611.80599.398966e-09
0.5921241.8056879.433420e-09
0.5942951.8054769.468001e-09
0.5964731.8052679.502708e-09
0.5986591.8050599.537542e-09
0.61.8049329.558900e-09
0.6008541.8048529.572496e-09
0.6030561.8046479.607564e-09
0.6052671.8044449.642761e-09
0.6074861.8042429.678087e-09
0.6097121.8040429.713542e-09
0.6119471.8038439.749127e-09
0.6141911.8036469.784843e-09
0.6164421.803459.820689e-09
0.6187021.8032569.856667e-09
0.620971.8030639.892777e-09
0.6232461.8028719.929019e-09
0.625531.8026819.965394e-09
0.6278231.8024921.000190e-08
0.6301251.8023051.003854e-08
0.6324341.8021191.007532e-08
0.6347531.8019341.011223e-08
0.6370791.8017511.014928e-08
0.6394151.8015691.018646e-08
0.6417591.8013881.022378e-08
0.6441111.8012091.026124e-08
0.6464721.8010311.029883e-08
0.6488421.8008541.033656e-08
0.651.8007681.035500e-08
0.651221.8006781.037445e-08
0.6536071.8005041.041250e-08
0.6560031.8003311.045069e-08
0.6584081.8001591.048902e-08
0.6608211.7999881.052749e-08
0.6632441.7998191.056610e-08
0.6656751.7996511.060486e-08
0.6681151.7994841.064375e-08
0.6705641.7993181.068279e-08
0.6730221.7991531.072197e-08
0.6754891.7989891.076130e-08
0.6779651.7988271.080077e-08
0.680451.7986661.084038e-08
0.6829451.7985051.088014e-08
0.6854481.7983461.092004e-08
0.6879611.7981881.096009e-08
0.6904821.7980311.100029e-08
0.6930131.7978751.104063e-08
0.6955541.797721.108113e-08
0.6981031.7975661.112177e-08
0.71.7974531.115200e-08
0.7006621.7974131.116255e-08
0.7032311.7972621.120347e-08
0.7058091.7971111.124453e-08
0.7083961.7969611.128574e-08
0.7109921.7968121.132711e-08
0.7135991.7966641.136863e-08
0.7162141.7965181.141030e-08
0.718841.7963721.145212e-08
0.7214751.7962271.149409e-08
0.7241191.7960831.153622e-08
0.7267741.795941.157851e-08
0.7294381.7957971.162095e-08
0.7321121.7956561.166354e-08
0.7347951.7955161.170629e-08
0.7374891.7953761.174920e-08
0.7401921.7952381.179226e-08
0.7429051.79511.183548e-08
0.7456291.7949631.187886e-08
0.7483621.7948271.192240e-08
0.7511051.7946921.196610e-08
0.7538581.7945581.200996e-08
0.7566221.7944241.205398e-08
0.7593951.7942911.209816e-08
0.7621791.7941591.214251e-08
0.7649731.7940281.218701e-08
0.7677771.7938981.223168e-08
0.7705911.7937691.227652e-08
0.7734161.793641.232151e-08
0.7762511.7935121.236668e-08
0.7790961.7933851.241200e-08
0.7819521.7932581.245750e-08
0.7848181.7931321.250316e-08
0.7876951.7930071.254899e-08
0.7905831.7928831.259498e-08
0.7934811.792761.264115e-08
0.7963891.7926371.268748e-08
0.7993091.7925151.273398e-08
0.81.7924861.274500e-08
0.8022381.7923931.278066e-08
0.8051791.7922721.282751e-08
0.8081311.7921521.287453e-08
0.8110931.7920331.292172e-08
0.8140661.7919141.296908e-08
0.817051.7917961.301662e-08
0.8200451.7916781.306433e-08
0.8230511.7915621.311222e-08
0.8260681.7914451.316028e-08
0.8290961.791331.320852e-08
0.8321351.7912151.325694e-08
0.8351861.7911011.330553e-08
0.8382471.7909871.335431e-08
0.841321.7908741.340326e-08
0.8444041.7907611.345239e-08
0.8474991.7906491.350169e-08
0.8506061.7905381.355119e-08
0.8537241.7904271.360086e-08
0.8568531.7903161.365071e-08
0.8599941.7902071.370075e-08
0.8631461.7900971.375097e-08
0.866311.7899891.380137e-08
0.8694861.7898811.385196e-08
0.8726731.7897731.390274e-08
0.8758721.7896661.395370e-08
0.8790821.7895591.400484e-08
0.8823051.7894531.405618e-08
0.8855391.7893471.410770e-08
0.8887851.7892421.415941e-08
0.8920431.7891381.421132e-08
0.8953131.7890341.426341e-08
0.8985951.788931.431569e-08
0.9018891.7888271.436817e-08
0.9051951.7887241.442083e-08
0.9085131.7886221.447369e-08
0.9118431.788521.452675e-08
0.9151861.7884181.457999e-08
0.918541.7883171.463344e-08
0.9219071.7882171.468708e-08
0.9252871.7881161.474091e-08
0.9286781.7880171.479494e-08
0.9320831.7879171.484918e-08
0.9354991.7878181.490361e-08
0.9389281.787721.495824e-08
0.942371.7876221.501307e-08
0.9458241.7875241.506810e-08
0.9492911.7874271.512333e-08
0.9527711.787331.517876e-08
0.9562641.7872331.523440e-08
0.9597691.7871371.529024e-08
0.9632871.7870411.534629e-08
0.9668181.7869451.540254e-08
0.9703621.786851.545900e-08
0.9739191.7867551.551567e-08
0.9774891.786661.557254e-08
0.9810721.7865661.562962e-08
0.9846681.7864721.568691e-08
0.9882781.7863781.574441e-08
0.9919011.7862851.580212e-08
0.9955361.7861921.586005e-08
0.9991861.7860991.591818e-08
1.002851.7860071.597653e-08
1.006521.7859141.603509e-08
1.010211.7858231.609387e-08
1.013921.7857311.615286e-08
1.017631.785641.621207e-08
1.021361.7855491.627150e-08
1.025111.7854581.633114e-08
1.028871.7853671.639100e-08
1.032641.7852771.645108e-08
1.036421.7851871.651139e-08
1.040221.7850971.657191e-08
1.044031.7850071.663265e-08
1.047861.7849181.669362e-08
1.05171.7848291.675481e-08
1.055561.784741.681623e-08
1.059431.7846511.687787e-08
1.061.7846381.688700e-08
1.063311.7845621.693974e-08
1.067211.7844741.700184e-08
1.071121.7843861.706416e-08
1.075051.7842981.712671e-08
1.078991.784211.718950e-08
1.082941.7841221.725251e-08
1.086911.7840351.731575e-08
1.09091.7839481.737923e-08
1.094891.783861.744294e-08
1.098911.7837741.750688e-08
1.102941.7836871.757105e-08
1.106981.78361.763547e-08
1.111041.7835141.770011e-08
1.115111.7834271.776500e-08
1.11921.7833411.783012e-08
1.12331.7832551.789548e-08
1.127421.7831691.796108e-08
1.131551.7830831.802692e-08
1.13571.7829971.809301e-08
1.139861.7829111.815933e-08
1.144041.7828261.822590e-08
1.148231.782741.829271e-08
1.152441.7826551.835977e-08
1.156671.782571.842707e-08
1.160911.7824841.849462e-08
1.165161.7823991.856241e-08
1.169431.7823141.863046e-08
1.173721.7822291.869875e-08
1.178021.7821441.876730e-08
1.182341.7820591.883610e-08
1.186671.7819751.890514e-08
1.191021.781891.897445e-08
1.195391.7818051.904400e-08
1.199771.781721.911381e-08
1.204171.7816361.918388e-08
1.208581.7815511.925420e-08
1.213011.7814671.932478e-08
1.217461.7813821.939562e-08
1.221921.7812971.946672e-08
1.22641.7812131.953808e-08
1.23091.7811281.960970e-08
1.235411.7810441.968159e-08
1.239941.7809591.975374e-08
1.244481.7808741.982615e-08
1.249041.780791.989883e-08
1.253621.7807051.997177e-08
1.258221.7806212.004498e-08
1.262831.7805362.011846e-08
1.267461.7804512.019221e-08
1.272111.7803662.026623e-08
1.276771.7802822.034052e-08
1.281451.7801972.041509e-08
1.286151.7801122.048992e-08
1.290861.7800272.056503e-08
1.295591.7799422.064042e-08
1.300341.7798572.071608e-08
1.305111.7797722.079202e-08
1.309891.7796862.086824e-08
1.314691.7796012.094474e-08
1.319511.7795162.102151e-08
1.324351.779432.109857e-08
1.32921.7793452.117592e-08
1.334081.7792592.125354e-08
1.338971.7791732.133145e-08
1.343881.7790872.140965e-08
1.34881.7790012.148813e-08
1.353751.7789152.156690e-08
1.358711.7788292.164596e-08
1.363691.7787422.172531e-08
1.368691.7786562.180495e-08
1.37371.7785692.188488e-08
1.378741.7784822.196510e-08
1.383791.7783952.204562e-08
1.388871.7783082.212643e-08
1.393961.7782212.220754e-08
1.399071.7781332.228895e-08
1.40421.7780462.237065e-08
1.409341.7779582.245266e-08
1.414511.777872.253496e-08
1.419691.7777822.261757e-08
1.42491.7776932.270048e-08
1.430121.7776052.278370e-08
1.435361.7775162.286721e-08
1.440621.7774272.295104e-08
1.445911.7773382.303517e-08
1.451211.7772492.311961e-08
1.456521.7771592.320436e-08
1.461861.7770692.328942e-08
1.467221.7769792.337480e-08
1.47261.7768892.346048e-08
1.4781.7767982.354648e-08
1.483421.7767072.363280e-08
1.488851.7766162.371943e-08
1.494311.7765252.380638e-08
1.499791.7764342.389365e-08
1.51.776432.389700e-08
1.505291.7763422.756024e-08
1.51081.776253.138333e-08
1.516341.7761573.522045e-08
1.52191.7760653.907162e-08
1.527481.7759724.293692e-08
1.533081.7758794.681638e-08
1.53871.7757855.071006e-08
1.544341.7756915.461802e-08
1.551.7755975.854030e-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
—