Optical constants

Refractive index of H-ZPK2A (CDGM)

H-ZPK2A: n,k 0.365–1.014 µm

Data
formula 3 + tabulated k
Range
0.365–1.014 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–1.014 µm
Refractive index n
1.603
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.56961
Permittivity ε2
4.50399e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
65.46
Chromatic dispersion dn/dλ
-0.0476705 µm⁻¹
Group index ng
1.63101
Group velocity dispersion
82.168 fs²/mm
Dispersion parameter D
-448.27 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

# H-ZPK2A (CDGM): H-ZPK2A
cdgm_h_zpk2a = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZPK2A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zpk2a.range_nm)  # (365, 1014) nm
eps = cdgm_h_zpk2a.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=2.53073192−0.0083442991⁢λ2.0+0.0146551845⁢λ−2.0−0.000216647389⁢λ−4.0+5.35525389×10-5⁢λ−6.0−2.46158263×10-6⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C12.53073192
C2-0.0083442991
C32.0
C40.0146551845
C5-2.0
C6-0.000216647389
C7-4.0
C85.35525389e-05
C9-6.0
C10-2.46158263e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.2e-05 1.48e-08 -5.44e-11 4.3e-07 -2.49e-10 0.158
nd
1.603001
Vd
65.459620
glass code
603655
density
value: 3500
thermal expansion
value: 9.3e-06, temperature range: 243 343; value: 1.15e-05, temperature range: 293 573
dPgF
0.0065
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -5.30e-06 K⁻¹ at 633 nm

References

Cite

CDGM Zemax catalog 2022-06 (obtained from http://www.cdgmgd.com); See also CDGM optical glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 418 wavelengths, the same grid as the API and the library
H-ZPK2A (CDGM), H-ZPK2A: n and k versus wavelength
λ (µm)nk
0.3651.62553.390050e-07
0.3659361.6253063.197097e-07
0.3668741.6251143.003650e-07
0.3678151.6249222.809706e-07
0.3687581.6247312.615266e-07
0.3697041.6245422.420326e-07
0.371.6244832.359200e-07
0.3706511.6243532.292092e-07
0.3716021.6241662.194194e-07
0.3725551.623982.096044e-07
0.373511.6237951.997642e-07
0.3744681.623611.898988e-07
0.3754281.6234271.800081e-07
0.376391.6232451.700921e-07
0.3773561.6230641.601506e-07
0.3783231.6228841.501837e-07
0.3792931.6227051.401912e-07
0.381.6225761.329100e-07
0.3802661.6225271.314663e-07
0.3812411.622351.261683e-07
0.3822181.6221741.208568e-07
0.3831981.6219991.155317e-07
0.3841811.6218251.101929e-07
0.3851661.6216521.048404e-07
0.3861541.621489.947416e-08
0.3871441.6213099.409419e-08
0.3881361.6211398.870042e-08
0.3891321.620978.329282e-08
0.391.6208247.857400e-08
0.3901291.6208027.822184e-08
0.391131.6206357.549765e-08
0.3921331.6204697.276648e-08
0.3931381.6203047.002831e-08
0.3941461.6201396.728312e-08
0.3951571.6199766.453088e-08
0.396171.6198146.177159e-08
0.3971861.6196525.900523e-08
0.3982041.6194925.623177e-08
0.3992251.6193325.345120e-08
0.41.6192125.134100e-08
0.4002491.6191735.112021e-08
0.4012751.6190165.020939e-08
0.4023041.6188594.929624e-08
0.4033351.6187034.838075e-08
0.404371.6185484.746291e-08
0.4054071.6183934.654271e-08
0.4064461.618244.562016e-08
0.4074881.6180884.469524e-08
0.4085331.6179364.376795e-08
0.4095811.6177854.283828e-08
0.4106311.6176354.190623e-08
0.4116841.6174864.097179e-08
0.4127391.6173384.003495e-08
0.4137981.6171913.909571e-08
0.4148591.6170443.815406e-08
0.4159221.6168993.721000e-08
0.4169891.6167543.626351e-08
0.4180581.616613.531460e-08
0.419131.6164673.436326e-08
0.421.6163513.359100e-08
0.4202051.6163243.360735e-08
0.4212821.6161833.369349e-08
0.4223621.6160423.377986e-08
0.4234451.6159023.386644e-08
0.4245311.6157623.395325e-08
0.4256191.6156243.404027e-08
0.4267111.6154863.412753e-08
0.4278051.615353.421500e-08
0.4289021.6152133.430270e-08
0.4300021.6150783.439062e-08
0.4311041.6149433.447877e-08
0.4322091.614813.456715e-08
0.4333181.6146773.465575e-08
0.4344291.6145443.474458e-08
0.4355431.6144133.483364e-08
0.4366591.6142823.492292e-08
0.4377791.6141523.501244e-08
0.4389021.6140223.510218e-08
0.441.6138973.519000e-08
0.4400271.6138943.517722e-08
0.4411551.6137663.464264e-08
0.4422861.6136383.410670e-08
0.443421.6135123.356938e-08
0.4445571.6133863.303069e-08
0.4456971.6132613.249061e-08
0.446841.6131363.194915e-08
0.4479861.6130133.140630e-08
0.4491351.6128893.086206e-08
0.4502861.6127673.031642e-08
0.4514411.6126452.976938e-08
0.4525981.6125242.922094e-08
0.4537591.6124042.867110e-08
0.4549221.6122842.811984e-08
0.4560891.6121652.756717e-08
0.4572581.6120472.701309e-08
0.4584311.6119292.645758e-08
0.4596061.6118122.590065e-08
0.461.6117732.571400e-08
0.4607851.6116952.560703e-08
0.4619661.6115792.544593e-08
0.4631511.6114642.528442e-08
0.4643381.6113492.512250e-08
0.4655291.6112352.496016e-08
0.4667221.6111222.479741e-08
0.4679191.6110092.463424e-08
0.4691191.6108972.447064e-08
0.4703221.6107862.430663e-08
0.4715281.6106752.414220e-08
0.4727371.6105642.397735e-08
0.4739491.6104552.381208e-08
0.4751641.6103452.364638e-08
0.4763821.6102372.348025e-08
0.4776041.6101292.331370e-08
0.4788291.6100212.314673e-08
0.481.6099192.298700e-08
0.4800561.6099152.297843e-08
0.4812871.6098082.279115e-08
0.4825211.6097032.260339e-08
0.4837581.6095972.241515e-08
0.4849991.6094932.222642e-08
0.4862421.6093892.203721e-08
0.4874891.6092852.184751e-08
0.4887391.6091822.165733e-08
0.4899921.609082.146666e-08
0.4912491.6089782.127550e-08
0.4925081.6088772.108385e-08
0.4937711.6087762.089171e-08
0.4950371.6086762.069908e-08
0.4963071.6085762.050595e-08
0.4975791.6084772.031233e-08
0.4988551.6083782.011821e-08
0.51.608291.994400e-08
0.5001341.608281.992578e-08
0.5014161.6081821.975153e-08
0.5027021.6080851.957683e-08
0.5039911.6079881.940169e-08
0.5052831.6078921.922609e-08
0.5065791.6077971.905005e-08
0.5078781.6077011.887355e-08
0.509181.6076071.869660e-08
0.5104861.6075131.851920e-08
0.5117951.6074191.834134e-08
0.5131071.6073261.816303e-08
0.5144231.6072331.798426e-08
0.5157421.6071411.780503e-08
0.5170641.6070491.762534e-08
0.518391.6069581.744519e-08
0.5197191.6068671.726458e-08
0.5210521.6067761.708351e-08
0.5223881.6066861.690197e-08
0.5237271.6065971.671996e-08
0.525071.6065081.653749e-08
0.5264161.6064191.635455e-08
0.5277661.6063311.617115e-08
0.5291191.6062431.598727e-08
0.5304761.6061561.580292e-08
0.5318361.6060691.561810e-08
0.53321.6059831.543280e-08
0.5345671.6058971.524703e-08
0.5359381.6058111.506078e-08
0.5373121.6057261.487406e-08
0.538691.6056421.468685e-08
0.5400711.6055571.449917e-08
0.5414561.6054731.431100e-08
0.5428441.605391.412236e-08
0.5442361.6053071.393323e-08
0.5456311.6052241.374361e-08
0.547031.6051421.355351e-08
0.5484331.605061.336292e-08
0.5498391.6049791.317184e-08
0.551.604971.315000e-08
0.5512491.6048981.317985e-08
0.5526631.6048171.321364e-08
0.554081.6047371.324750e-08
0.55551.6046571.328146e-08
0.5569251.6045781.331550e-08
0.5583531.6044991.334963e-08
0.5597841.604421.338385e-08
0.561221.6043421.341815e-08
0.5626591.6042641.345254e-08
0.5641011.6041861.348702e-08
0.5655481.6041091.352159e-08
0.5669981.6040321.355625e-08
0.5684521.6039561.359100e-08
0.5699091.603881.362583e-08
0.5713711.6038041.366076e-08
0.5728361.6037291.369577e-08
0.5743041.6036541.373088e-08
0.5757771.6035791.376607e-08
0.5772531.6035051.380136e-08
0.5787331.6034311.383673e-08
0.5802171.6033571.387220e-08
0.5817051.6032841.390775e-08
0.5831971.6032111.394340e-08
0.5846921.6031391.397914e-08
0.5861911.6030671.401497e-08
0.5876941.6029951.405089e-08
0.5892011.6029231.408691e-08
0.5907121.6028521.412302e-08
0.5922271.6027811.415922e-08
0.5937451.6027111.419551e-08
0.5952681.602641.423189e-08
0.5967941.602571.426837e-08
0.5983241.6025011.430495e-08
0.5998581.6024321.434161e-08
0.61.6024251.434500e-08
0.6013961.6023631.437840e-08
0.6029381.6022941.441529e-08
0.6044841.6022261.445227e-08
0.6060341.6021581.448934e-08
0.6075881.602091.452651e-08
0.6091461.6020231.456378e-08
0.6107081.6019551.460114e-08
0.6122741.6018891.463859e-08
0.6138441.6018221.467614e-08
0.6154181.6017561.471379e-08
0.6169961.601691.475154e-08
0.6185781.6016241.478938e-08
0.6201641.6015591.482732e-08
0.6217541.6014941.486536e-08
0.6233481.6014291.490349e-08
0.6249471.6013651.494172e-08
0.6265491.6013011.498005e-08
0.6281561.6012371.501848e-08
0.6297661.6011731.505701e-08
0.6313811.601111.509563e-08
0.6331.6010471.513436e-08
0.6346231.6009841.517318e-08
0.636251.6009221.521210e-08
0.6378821.6008591.525113e-08
0.6395171.6007971.529025e-08
0.6411571.6007361.532947e-08
0.6428011.6006741.536880e-08
0.6444491.6006131.540822e-08
0.6461021.6005521.544775e-08
0.6477581.6004911.548738e-08
0.6494191.6004311.552710e-08
0.651.600411.554100e-08
0.6510841.6003711.556691e-08
0.6527541.6003111.560681e-08
0.6544271.6002511.564682e-08
0.6561051.6001921.568692e-08
0.6577881.6001331.572713e-08
0.6594741.6000741.576744e-08
0.6611651.6000151.580785e-08
0.6628611.5999571.584837e-08
0.664561.5998991.588899e-08
0.6662641.5998411.592971e-08
0.6679731.5997831.597054e-08
0.6696851.5997261.601148e-08
0.6714021.5996691.605252e-08
0.6731241.5996121.609366e-08
0.674851.5995551.613491e-08
0.676581.5994991.617627e-08
0.6783151.5994421.621773e-08
0.6800541.5993861.625930e-08
0.6817981.599331.630097e-08
0.6835461.5992751.634276e-08
0.6852991.5992191.638464e-08
0.6870561.5991641.642664e-08
0.6888181.5991091.646874e-08
0.6905841.5990551.651096e-08
0.6923551.5991.655328e-08
0.694131.5989461.659571e-08
0.695911.5988921.663824e-08
0.6976941.5988381.668089e-08
0.6994831.5987841.672365e-08
0.71.5987691.673600e-08
0.7012771.5987311.668505e-08
0.7030751.5986781.661329e-08
0.7048771.5986251.654134e-08
0.7066851.5985721.646921e-08
0.7084971.5985191.639689e-08
0.7103131.5984671.632439e-08
0.7121351.5984151.625170e-08
0.7139611.5983631.617883e-08
0.7157911.5983111.610576e-08
0.7176271.5982591.603252e-08
0.7194671.5982081.595908e-08
0.7213121.5981561.588545e-08
0.7231611.5981051.581164e-08
0.7250151.5980551.573764e-08
0.7268741.5980041.566344e-08
0.7287381.5979531.558906e-08
0.7306071.5979031.551449e-08
0.732481.5978531.543972e-08
0.7343581.5978031.536477e-08
0.7362411.5977531.528962e-08
0.7381291.5977041.521428e-08
0.7400221.5976541.513874e-08
0.7419191.5976051.506301e-08
0.7438211.5975561.498709e-08
0.7457291.5975071.491097e-08
0.7476411.5974591.483466e-08
0.7495581.597411.475815e-08
0.751481.5973621.468145e-08
0.7534061.5973141.460455e-08
0.7553381.5972661.452745e-08
0.7572751.5972181.445015e-08
0.7592171.597171.437266e-08
0.7611631.5971231.429497e-08
0.7631151.5970751.421707e-08
0.7650721.5970281.413898e-08
0.7670341.5969811.406069e-08
0.7691.5969341.398220e-08
0.7709721.5968871.390350e-08
0.7729491.5968411.382461e-08
0.7749311.5967951.374551e-08
0.7769181.5967481.366621e-08
0.778911.5967021.358671e-08
0.7809071.5966561.350700e-08
0.7829091.5966111.342709e-08
0.7849171.5965651.334697e-08
0.7869291.5965191.326665e-08
0.7889471.5964741.318612e-08
0.790971.5964291.310538e-08
0.7929981.5963841.302444e-08
0.7950321.5963391.294329e-08
0.797071.5962941.286193e-08
0.7991141.596251.278037e-08
0.81.596231.274500e-08
0.8011631.5962051.276354e-08
0.8032171.5961611.279628e-08
0.8052771.5961161.282911e-08
0.8073411.5960721.286202e-08
0.8094111.5960281.289502e-08
0.8114871.5959851.292810e-08
0.8135681.5959411.296127e-08
0.8156541.5958971.299452e-08
0.8177451.5958541.302786e-08
0.8198421.5958111.306128e-08
0.8219441.5957681.309479e-08
0.8240521.5957251.312838e-08
0.8261641.5956821.316206e-08
0.8282831.5956391.319583e-08
0.8304071.5955961.322968e-08
0.8325361.5955541.326362e-08
0.8346711.5955111.329765e-08
0.8368111.5954691.333176e-08
0.8389561.5954271.336596e-08
0.8411081.5953851.340025e-08
0.8432641.5953431.343463e-08
0.8454261.5953011.346910e-08
0.8475941.5952591.350365e-08
0.8497671.5952181.353829e-08
0.851.5952131.354200e-08
0.8519461.5951761.357299e-08
0.8541311.5951351.360776e-08
0.8563211.5950931.364263e-08
0.8585171.5950521.367758e-08
0.8607181.5950111.371263e-08
0.8629251.594971.374776e-08
0.8651371.5949291.378299e-08
0.8673561.5948891.381830e-08
0.869581.5948481.385371e-08
0.8718091.5948081.388920e-08
0.8740451.5947671.392479e-08
0.8762861.5947271.396047e-08
0.8785331.5946871.399624e-08
0.8807851.5946461.403210e-08
0.8830441.5946061.406806e-08
0.8853081.5945661.410410e-08
0.8875781.5945271.414024e-08
0.8898541.5944871.417647e-08
0.8921351.5944471.421280e-08
0.8944231.5944081.424921e-08
0.8967161.5943681.428572e-08
0.8990161.5943291.432233e-08
0.91.5943121.433800e-08
0.9013211.5942891.435905e-08
0.9036321.594251.439589e-08
0.9059491.5942111.443282e-08
0.9082721.5941721.446985e-08
0.9106011.5941331.450697e-08
0.9129351.5940941.454419e-08
0.9152761.5940551.458150e-08
0.9176231.5940171.461891e-08
0.9199761.5939781.465642e-08
0.9223351.593941.469402e-08
0.92471.5939011.473172e-08
0.9270711.5938631.476951e-08
0.9294481.5938241.480740e-08
0.9318311.5937861.484539e-08
0.934221.5937481.488347e-08
0.9366161.593711.492166e-08
0.9390171.5936721.495994e-08
0.9414251.5936341.499832e-08
0.9438391.5935961.503679e-08
0.9462591.5935581.507537e-08
0.9486851.5935211.511405e-08
0.951.59351.513500e-08
0.9511181.5934831.515280e-08
0.9535571.5934451.519162e-08
0.9560021.5934081.523055e-08
0.9584531.593371.526957e-08
0.9609111.5933331.530870e-08
0.9633741.5932951.534792e-08
0.9658451.5932581.538725e-08
0.9683211.5932211.542667e-08
0.9708041.5931841.546620e-08
0.9732931.5931471.550583e-08
0.9757891.593111.554556e-08
0.9782911.5930731.558539e-08
0.9807991.5930361.562532e-08
0.9833141.5929991.566536e-08
0.9858351.5929621.570550e-08
0.9883631.5929251.574574e-08
0.9908971.5928881.578609e-08
0.9934381.5928521.582653e-08
0.9959851.5928151.586709e-08
0.9985391.5927791.590774e-08
11.5927581.593100e-08
1.00111.5927421.594852e-08
1.003671.5927061.598942e-08
1.006241.5926691.603042e-08
1.008821.5926331.607153e-08
1.011411.5925961.611275e-08
1.0141.592561.615407e-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
—