Optical constants

Refractive index of H-ZK9A (CDGM)

H-ZK9A: 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
1.62041
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.62573
Permittivity ε2
6.07376e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
60.368
Chromatic dispersion dn/dλ
-0.0531857 µm⁻¹
Group index ng
1.65166
Group velocity dispersion
91.474 fs²/mm
Dispersion parameter D
-499.039 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-ZK9A (CDGM): H-ZK9A
cdgm_h_zk9a = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZK9A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zk9a.range_nm)  # (365, 1014) nm
eps = cdgm_h_zk9a.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=2.58407802−0.0111281379⁢λ2.0+0.0154281597⁢λ−2.0+2.64033929×10-5⁢λ−4.0+2.77466467×10-5⁢λ−6.0−1.24493904×10-6⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C12.58407802
C2-0.0111281379
C32.0
C40.0154281597
C5-2.0
C62.64033929e-05
C7-4.0
C82.77466467e-05
C9-6.0
C10-1.24493904e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.4e-06 1.73e-08 1.08e-10 5.4e-07 7.75e-10 0.097
nd
1.620412
Vd
60.368242
glass code
620603
density
value: 3530
thermal expansion
value: 6e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
-0.0031
resistance
climatic: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -9.96e-09 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-ZK9A (CDGM), H-ZK9A: n and k versus wavelength
λ (µm)nk
0.3651.64552.739350e-07
0.3659361.6452832.597010e-07
0.3668741.6450682.454306e-07
0.3678151.6448542.311235e-07
0.3687581.6446412.167798e-07
0.3697041.6444292.023992e-07
0.371.6443631.978900e-07
0.3706511.6442191.928353e-07
0.3716021.6440091.854613e-07
0.3725551.6438011.780683e-07
0.373511.6435941.706565e-07
0.3744681.6433891.632256e-07
0.3754281.6431841.557756e-07
0.376391.6429811.483066e-07
0.3773561.6427791.408184e-07
0.3783231.6425781.333110e-07
0.3792931.6423781.257844e-07
0.381.6422341.203000e-07
0.3802661.642181.192760e-07
0.3812411.6419821.155181e-07
0.3822181.6417861.117506e-07
0.3831981.6415911.079734e-07
0.3841811.6413971.041865e-07
0.3851661.6412041.003900e-07
0.3861541.6410129.658367e-08
0.3871441.6408229.276761e-08
0.3881361.6406328.894176e-08
0.3891321.6404448.510610e-08
0.391.6402818.175900e-08
0.3901291.6402568.140751e-08
0.391131.640077.868853e-08
0.3921331.6398857.596257e-08
0.3931381.6397017.322963e-08
0.3941461.6395187.048967e-08
0.3951571.6393366.774270e-08
0.396171.6391556.498868e-08
0.3971861.6389756.222759e-08
0.3982041.6387965.945943e-08
0.3992251.6386185.668417e-08
0.41.6384845.457800e-08
0.4002491.6384415.435895e-08
0.4012751.6382655.345532e-08
0.4023041.638095.254937e-08
0.4033351.6379165.164110e-08
0.404371.6377445.073049e-08
0.4054071.6375724.981756e-08
0.4064461.6374014.890228e-08
0.4074881.6372314.798466e-08
0.4085331.6370624.706468e-08
0.4095811.6368944.614234e-08
0.4106311.6367274.521764e-08
0.4116841.6365614.429057e-08
0.4127391.6363964.336112e-08
0.4137981.6362324.242929e-08
0.4148591.6360694.149507e-08
0.4159221.6359064.055845e-08
0.4169891.6357453.961943e-08
0.4180581.6355843.867801e-08
0.419131.6354253.773417e-08
0.421.6352963.696800e-08
0.4202051.6352663.691367e-08
0.4212821.6351083.662744e-08
0.4223621.6349523.634049e-08
0.4234451.6347963.605280e-08
0.4245311.634643.576437e-08
0.4256191.6344863.547520e-08
0.4267111.6343333.518529e-08
0.4278051.634183.489463e-08
0.4289021.6340293.460323e-08
0.4300021.6338783.431109e-08
0.4311041.6337283.401819e-08
0.4322091.6335793.372455e-08
0.4333181.633433.343015e-08
0.4344291.6332833.313499e-08
0.4355431.6331363.283908e-08
0.4366591.6329913.254241e-08
0.4377791.6328463.224498e-08
0.4389021.6327013.194679e-08
0.441.6325613.165500e-08
0.4400271.6325583.164698e-08
0.4411551.6324153.131183e-08
0.4422861.6322743.097582e-08
0.443421.6321323.063895e-08
0.4445571.6319923.030121e-08
0.4456971.6318532.996261e-08
0.446841.6317142.962314e-08
0.4479861.6315762.928280e-08
0.4491351.6314392.894159e-08
0.4502861.6313022.859950e-08
0.4514411.6311672.825653e-08
0.4525981.6310322.791269e-08
0.4537591.6308982.756796e-08
0.4549221.6307642.722235e-08
0.4560891.6306312.687585e-08
0.4572581.6304992.652847e-08
0.4584311.6303682.618019e-08
0.4596061.6302382.583102e-08
0.461.6301942.571400e-08
0.4607851.6301082.560703e-08
0.4619661.6299792.544593e-08
0.4631511.629852.528442e-08
0.4643381.6297222.512250e-08
0.4655291.6295952.496016e-08
0.4667221.6294692.479741e-08
0.4679191.6293432.463424e-08
0.4691191.6292182.447064e-08
0.4703221.6290942.430663e-08
0.4715281.628972.414220e-08
0.4727371.6288472.397735e-08
0.4739491.6287252.381208e-08
0.4751641.6286032.364638e-08
0.4763821.6284822.348025e-08
0.4776041.6283612.331370e-08
0.4788291.6282422.314673e-08
0.481.6281282.298700e-08
0.4800561.6281232.297843e-08
0.4812871.6280042.279115e-08
0.4825211.6278862.260339e-08
0.4837581.6277692.241515e-08
0.4849991.6276522.222642e-08
0.4862421.6275362.203721e-08
0.4874891.6274212.184751e-08
0.4887391.6273062.165733e-08
0.4899921.6271922.146666e-08
0.4912491.6270782.127550e-08
0.4925081.6269652.108385e-08
0.4937711.6268532.089171e-08
0.4950371.6267412.069908e-08
0.4963071.626632.050595e-08
0.4975791.6265192.031233e-08
0.4988551.6264092.011821e-08
0.51.6263111.994400e-08
0.5001341.62631.993756e-08
0.5014161.6261911.987595e-08
0.5027021.6260821.981419e-08
0.5039911.6259751.975227e-08
0.5052831.6258671.969019e-08
0.5065791.6257611.962795e-08
0.5078781.6256551.956555e-08
0.509181.6255491.950299e-08
0.5104861.6254441.944027e-08
0.5117951.625341.937738e-08
0.5131071.6252361.931434e-08
0.5144231.6251321.925114e-08
0.5157421.6250291.918777e-08
0.5170641.6249271.912424e-08
0.518391.6248251.906055e-08
0.5197191.6247241.899670e-08
0.5210521.6246231.893268e-08
0.5223881.6245221.886850e-08
0.5237271.6244231.880415e-08
0.525071.6243231.873964e-08
0.5264161.6242251.867496e-08
0.5277661.6241261.861012e-08
0.5291191.6240281.854511e-08
0.5304761.6239311.847993e-08
0.5318361.6238341.841459e-08
0.53321.6237381.834908e-08
0.5345671.6236421.828340e-08
0.5359381.6235471.821755e-08
0.5373121.6234521.815154e-08
0.538691.6233571.808535e-08
0.5400711.6232631.801900e-08
0.5414561.623171.795247e-08
0.5428441.6230771.788577e-08
0.5442361.6229841.781891e-08
0.5456311.6228921.775187e-08
0.547031.62281.768466e-08
0.5484331.6227091.761728e-08
0.5498391.6226181.754972e-08
0.551.6226081.754200e-08
0.5512491.6225281.758185e-08
0.5526631.6224381.762694e-08
0.554081.6223481.767214e-08
0.55551.6222591.771746e-08
0.5569251.6221711.776290e-08
0.5583531.6220831.780845e-08
0.5597841.6219951.785412e-08
0.561221.6219081.789991e-08
0.5626591.6218211.794581e-08
0.5641011.6217341.799184e-08
0.5655481.6216481.803798e-08
0.5669981.6215621.808423e-08
0.5684521.6214771.813061e-08
0.5699091.6213921.817711e-08
0.5713711.6213081.822372e-08
0.5728361.6212241.827046e-08
0.5743041.621141.831731e-08
0.5757771.6210571.836429e-08
0.5772531.6209741.841138e-08
0.5787331.6208921.845860e-08
0.5802171.6208091.850594e-08
0.5817051.6207281.855339e-08
0.5831971.6206461.860097e-08
0.5846921.6205651.864868e-08
0.5861911.6204851.869650e-08
0.5876941.6204051.874445e-08
0.5892011.6203251.879252e-08
0.5907121.6202451.884071e-08
0.5922271.6201661.888903e-08
0.5937451.6200881.893747e-08
0.5952681.6200091.898603e-08
0.5967941.6199311.903472e-08
0.5983241.6198541.908354e-08
0.5998581.6197761.913248e-08
0.61.6197691.913700e-08
0.6013961.6196991.903658e-08
0.6029381.6196231.892567e-08
0.6044841.6195471.881449e-08
0.6060341.6194711.870301e-08
0.6075881.6193951.859126e-08
0.6091461.619321.847921e-08
0.6107081.6192451.836688e-08
0.6122741.619171.825426e-08
0.6138441.6190961.814135e-08
0.6154181.6190221.802815e-08
0.6169961.6189491.791466e-08
0.6185781.6188761.780088e-08
0.6201641.6188031.768681e-08
0.6217541.618731.757245e-08
0.6233481.6186581.745779e-08
0.6249471.6185861.734284e-08
0.6265491.6185141.722759e-08
0.6281561.6184431.711205e-08
0.6297661.6183721.699622e-08
0.6313811.6183011.688008e-08
0.6331.6182311.676365e-08
0.6346231.6181611.664692e-08
0.636251.6180911.652989e-08
0.6378821.6180211.641256e-08
0.6395171.6179521.629493e-08
0.6411571.6178831.617699e-08
0.6428011.6178151.605876e-08
0.6444491.6177461.594022e-08
0.6461021.6176781.582138e-08
0.6477581.617611.570223e-08
0.6494191.6175431.558278e-08
0.651.617521.554100e-08
0.6510841.6174761.544582e-08
0.6527541.6174091.529928e-08
0.6544271.6173421.515236e-08
0.6561051.6172761.500507e-08
0.6577881.617211.485739e-08
0.6594741.6171441.470934e-08
0.6611651.6170791.456091e-08
0.6628611.6170131.441210e-08
0.664561.6169481.426290e-08
0.6662641.6168841.411333e-08
0.6679731.6168191.396337e-08
0.6696851.6167551.381302e-08
0.6714021.6166911.366229e-08
0.6731241.6166271.351118e-08
0.674851.6165641.335967e-08
0.676581.6165011.320778e-08
0.6783151.6164381.305550e-08
0.6800541.6163751.290283e-08
0.6817981.6163131.274976e-08
0.6835461.616251.259631e-08
0.6852991.6161881.244246e-08
0.6870561.6161271.228821e-08
0.6888181.6160651.213358e-08
0.6905841.6160041.197854e-08
0.6923551.6159431.182311e-08
0.694131.6158821.166727e-08
0.695911.6158221.151104e-08
0.6976941.6157621.135441e-08
0.6994831.6157021.119738e-08
0.71.6156841.115200e-08
0.7012771.6156421.117234e-08
0.7030751.6155821.120098e-08
0.7048771.6155231.122970e-08
0.7066851.6154641.125849e-08
0.7084971.6154051.128735e-08
0.7103131.6153461.131629e-08
0.7121351.6152871.134531e-08
0.7139611.6152291.137440e-08
0.7157911.6151711.140356e-08
0.7176271.6151131.143279e-08
0.7194671.6150551.146211e-08
0.7213121.6149981.149149e-08
0.7231611.6149411.152096e-08
0.7250151.6148841.155049e-08
0.7268741.6148271.158011e-08
0.7287381.614771.160980e-08
0.7306071.6147141.163956e-08
0.732481.6146581.166941e-08
0.7343581.6146021.169933e-08
0.7362411.6145461.172932e-08
0.7381291.614491.175939e-08
0.7400221.6144351.178954e-08
0.7419191.6143791.181977e-08
0.7438211.6143241.185007e-08
0.7457291.614271.188046e-08
0.7476411.6142151.191092e-08
0.7495581.614161.194145e-08
0.751481.6141061.197207e-08
0.7534061.6140521.200277e-08
0.7553381.6139981.203354e-08
0.7572751.6139441.206439e-08
0.7592171.6138911.209532e-08
0.7611631.6138371.212633e-08
0.7631151.6137841.215742e-08
0.7650721.6137311.218859e-08
0.7670341.6136781.221984e-08
0.7691.6136251.225117e-08
0.7709721.6135731.228259e-08
0.7729491.613521.231408e-08
0.7749311.6134681.234565e-08
0.7769181.6134161.237730e-08
0.778911.6133641.240903e-08
0.7809071.6133121.244085e-08
0.7829091.6132611.247275e-08
0.7849171.6132091.250473e-08
0.7869291.6131581.253679e-08
0.7889471.6131071.256893e-08
0.790971.6130561.260115e-08
0.7929981.6130051.263346e-08
0.7950321.6129541.266585e-08
0.797071.6129041.269833e-08
0.7991141.6128531.273088e-08
0.81.6128311.274500e-08
0.8011631.6128031.276354e-08
0.8032171.6127531.279628e-08
0.8052771.6127031.282911e-08
0.8073411.6126531.286202e-08
0.8094111.6126031.289502e-08
0.8114871.6125541.292810e-08
0.8135681.6125051.296127e-08
0.8156541.6124551.299452e-08
0.8177451.6124061.302786e-08
0.8198421.6123571.306128e-08
0.8219441.6123081.309479e-08
0.8240521.612261.312838e-08
0.8261641.6122111.316206e-08
0.8282831.6121631.319583e-08
0.8304071.6121141.322968e-08
0.8325361.6120661.326362e-08
0.8346711.6120181.329765e-08
0.8368111.611971.333176e-08
0.8389561.6119221.336596e-08
0.8411081.6118741.340025e-08
0.8432641.6118271.343463e-08
0.8454261.6117791.346910e-08
0.8475941.6117321.350365e-08
0.8497671.6116851.353829e-08
0.851.611681.354200e-08
0.8519461.6116381.357299e-08
0.8541311.6115911.360776e-08
0.8563211.6115441.364263e-08
0.8585171.6114971.367758e-08
0.8607181.611451.371263e-08
0.8629251.6114041.374776e-08
0.8651371.6113571.378299e-08
0.8673561.6113111.381830e-08
0.869581.6112641.385371e-08
0.8718091.6112181.388920e-08
0.8740451.6111721.392479e-08
0.8762861.6111261.396047e-08
0.8785331.611081.399624e-08
0.8807851.6110341.403210e-08
0.8830441.6109891.406806e-08
0.8853081.6109431.410410e-08
0.8875781.6108981.414024e-08
0.8898541.6108521.417647e-08
0.8921351.6108071.421280e-08
0.8944231.6107621.424921e-08
0.8967161.6107171.428572e-08
0.8990161.6106721.432233e-08
0.91.6106521.433800e-08
0.9013211.6106271.435905e-08
0.9036321.6105821.439589e-08
0.9059491.6105371.443282e-08
0.9082721.6104921.446985e-08
0.9106011.6104481.450697e-08
0.9129351.6104031.454419e-08
0.9152761.6103591.458150e-08
0.9176231.6103141.461891e-08
0.9199761.610271.465642e-08
0.9223351.6102261.469402e-08
0.92471.6101811.473172e-08
0.9270711.6101371.476951e-08
0.9294481.6100931.480740e-08
0.9318311.6100491.484539e-08
0.934221.6100051.488347e-08
0.9366161.6099621.492166e-08
0.9390171.6099181.495994e-08
0.9414251.6098741.499832e-08
0.9438391.609831.503679e-08
0.9462591.6097871.507537e-08
0.9486851.6097431.511405e-08
0.951.609721.513500e-08
0.9511181.60971.515280e-08
0.9535571.6096571.519162e-08
0.9560021.6096131.523055e-08
0.9584531.609571.526957e-08
0.9609111.6095271.530870e-08
0.9633741.6094841.534792e-08
0.9658451.609441.538725e-08
0.9683211.6093971.542667e-08
0.9708041.6093541.546620e-08
0.9732931.6093111.550583e-08
0.9757891.6092691.554556e-08
0.9782911.6092261.558539e-08
0.9807991.6091831.562532e-08
0.9833141.609141.566536e-08
0.9858351.6090971.570550e-08
0.9883631.6090551.574574e-08
0.9908971.6090121.578609e-08
0.9934381.6089691.582653e-08
0.9959851.6089271.586709e-08
0.9985391.6088841.590774e-08
11.608861.593100e-08
1.00111.6088421.594852e-08
1.003671.6087991.598942e-08
1.006241.6087571.603042e-08
1.008821.6087151.607153e-08
1.011411.6086721.611275e-08
1.0141.608631.615407e-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
—