Optical constants

Refractive index of H-ZK21 (CDGM)

H-ZK21: n,k 0.302–2.325 µm

Data
formula 2 + tabulated k
Range
0.302–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.302–2.325 µm
Refractive index n
1.62299
Extinction coefficient k
2.81403e-08
Permittivity ε1
2.63409
Permittivity ε2
9.13427e-08
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
58.121
Chromatic dispersion dn/dλ
-0.0553438 µm⁻¹
Group index ng
1.65551
Group velocity dispersion
97.0619 fs²/mm
Dispersion parameter D
-529.524 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-ZK21 (CDGM): H-ZK21
cdgm_h_zk21 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZK21", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zk21.range_nm)  # (302, 2325) nm
eps = cdgm_h_zk21.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=0.894248925λ2λ2−0.00384521718+0.696413489λ2λ2−0.0174130132+1.07122355λ2λ2−102.205952

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.894248925
C30.00384521718
C40.696413489
C50.0174130132
C61.07122355
C7102.205952

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 8.71e-07 1.71e-08 -8.72e-11 4.27e-07 -7.8e-10 0.222
nd
1.622990
Vd
58.120667
glass code
623581
glass status
standard
density
value: 3560
thermal expansion
value: 6.2e-06, temperature range: 243 343; value: 7.5e-06, temperature range: 293 573
dPgF
-0.0024
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.05e-06 K⁻¹ at 633 nm, dn/dT = 5.55e-07 K⁻¹ at 1310 nm, dn/dT = 5.16e-07 K⁻¹ at 1550 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 431 wavelengths, the same grid as the API and the library
H-ZK21 (CDGM), H-ZK21: n and k versus wavelength
λ (µm)nk
0.3021.6713488.075200e-06
0.3035491.6706037.508800e-06
0.3051061.6698686.939494e-06
0.306671.6691436.367269e-06
0.3082431.6684285.792110e-06
0.3098241.6677235.214001e-06
0.311.6676455.149600e-06
0.3114131.6670274.824196e-06
0.313011.666344.456355e-06
0.3146151.6656634.086628e-06
0.3162291.6649953.715005e-06
0.317851.6643363.341475e-06
0.3194811.6636852.966031e-06
0.321.663482.846400e-06
0.3211191.6630432.704627e-06
0.3227661.662412.495986e-06
0.3244211.6617852.286275e-06
0.3260851.6611682.075488e-06
0.3277571.6605591.863621e-06
0.3294381.6599581.650666e-06
0.331.659761.579500e-06
0.3311281.6593651.501604e-06
0.3328261.6587791.384312e-06
0.3345331.6582021.266418e-06
0.3362491.6576311.147919e-06
0.3379731.6570681.028813e-06
0.3397061.6565129.090953e-07
0.341.6564198.888100e-07
0.3414481.6559648.304068e-07
0.34321.6554227.598015e-07
0.344961.6548876.888341e-07
0.3467291.6543596.175027e-07
0.3485071.6538375.458055e-07
0.351.6534064.856100e-07
0.3502941.6533224.791754e-07
0.3520911.6528144.399078e-07
0.3538971.6523124.004387e-07
0.3557121.6518163.607672e-07
0.3575361.6513263.208923e-07
0.3593691.6508432.808128e-07
0.361.6506782.670300e-07
0.3612121.6503652.533412e-07
0.3630651.6498932.324267e-07
0.3649271.6494282.114049e-07
0.3667981.6489671.902753e-07
0.368681.6485131.690373e-07
0.371.6481991.541300e-07
0.370571.6480641.504146e-07
0.3724711.647621.380351e-07
0.3743811.6471821.255921e-07
0.3763011.6467491.130853e-07
0.3782311.6463221.005143e-07
0.381.6459368.899100e-08
0.3801711.6458998.854214e-08
0.382121.6454828.341615e-08
0.384081.645077.826388e-08
0.386051.6446627.308518e-08
0.388031.644266.787992e-08
0.391.6438666.270000e-08
0.390021.6438626.266473e-08
0.392021.6434695.909993e-08
0.394031.6430815.551686e-08
0.3960511.6426975.191540e-08
0.3980821.6423184.829548e-08
0.41.6419654.487800e-08
0.4001241.6419434.480801e-08
0.4021761.6415724.364994e-08
0.4042391.6412064.248594e-08
0.4063121.6408454.131596e-08
0.4083961.6404874.013998e-08
0.410491.6401343.895797e-08
0.4125951.6397843.776990e-08
0.4147111.6394393.657573e-08
0.4168381.6390983.537544e-08
0.4189761.638763.416900e-08
0.421.6386013.359100e-08
0.4211251.6384273.348214e-08
0.4232841.6380973.327308e-08
0.4254551.6377713.306295e-08
0.4276371.6374493.285173e-08
0.429831.6371313.263944e-08
0.4320351.6368163.242605e-08
0.434251.6365043.221157e-08
0.4364771.6361963.199599e-08
0.4387161.6358923.177931e-08
0.441.635723.165500e-08
0.4409661.6355913.119021e-08
0.4432271.6352943.010187e-08
0.44551.6349992.900794e-08
0.4477851.6347082.790840e-08
0.4500821.6344212.680322e-08
0.452391.6341362.569238e-08
0.454711.6338552.457583e-08
0.4570421.6335762.345356e-08
0.4593861.6333012.232554e-08
0.461.633232.203000e-08
0.4617421.6330292.211335e-08
0.464111.632762.222666e-08
0.466491.6324942.234055e-08
0.4688831.632232.245503e-08
0.4712871.631972.257009e-08
0.4737041.6317122.268575e-08
0.4761341.6314572.280199e-08
0.4785751.6312052.291883e-08
0.481.631062.298700e-08
0.481031.6309562.303633e-08
0.4834971.6307092.315450e-08
0.4859761.6304652.327327e-08
0.4884691.6302232.339265e-08
0.4909741.6299842.351265e-08
0.4934921.6297482.363326e-08
0.4960231.6295142.375449e-08
0.4985671.6292832.387634e-08
0.51.6291542.394500e-08
0.5011231.6290542.399881e-08
0.5036931.6288272.412192e-08
0.5062771.6286032.424565e-08
0.5088731.6283812.437002e-08
0.5114831.6281622.449503e-08
0.5141061.6279452.462068e-08
0.5167431.627732.474697e-08
0.5193931.6275172.487391e-08
0.5220561.6273072.500151e-08
0.5247341.6270982.512975e-08
0.5274251.6268922.525866e-08
0.530131.6266882.538822e-08
0.5328491.6264862.551845e-08
0.5355811.6262862.564935e-08
0.5383281.6260882.578092e-08
0.5410891.6258922.591316e-08
0.5438641.6256982.604608e-08
0.5466531.6255062.617969e-08
0.5494571.6253162.631397e-08
0.551.6252792.634000e-08
0.5522751.6251282.644891e-08
0.5551071.6249412.658452e-08
0.5579541.6247572.672083e-08
0.5608151.6245742.685783e-08
0.5636911.6243932.699554e-08
0.5665821.6242142.713396e-08
0.5694881.6240372.727309e-08
0.5724091.6238612.741293e-08
0.5753441.6236872.755348e-08
0.5782951.6235152.769476e-08
0.5812611.6233442.783676e-08
0.5842421.6231752.797949e-08
0.5872381.6230082.812296e-08
0.590251.6228422.826715e-08
0.5932771.6226782.841209e-08
0.5963191.6225152.855777e-08
0.5993781.6223542.870420e-08
0.61.6223222.873400e-08
0.6024521.6221952.859642e-08
0.6055411.6220372.842303e-08
0.6086471.621882.824874e-08
0.6117681.6217252.807357e-08
0.6149061.6215712.789749e-08
0.6180591.6214192.772052e-08
0.6212291.6212682.754263e-08
0.6244151.6211182.736383e-08
0.6276171.620972.718412e-08
0.6308361.6208232.700348e-08
0.6340711.6206772.682192e-08
0.6373231.6205332.663943e-08
0.6405921.620392.645600e-08
0.6438771.6202482.627163e-08
0.6471791.6201082.608631e-08
0.651.6199892.592800e-08
0.6504981.6199682.594787e-08
0.6538341.619832.608091e-08
0.6571871.6196932.621463e-08
0.6605581.6195582.634905e-08
0.6639451.6194232.648415e-08
0.6673511.619292.661994e-08
0.6707731.6191572.675643e-08
0.6742131.6190262.689362e-08
0.6776711.6188962.703151e-08
0.6811461.6187672.717011e-08
0.684641.6186392.730943e-08
0.6881511.6185122.744945e-08
0.691681.6183862.759020e-08
0.6952271.6182622.773166e-08
0.6987931.6181382.787385e-08
0.71.6180962.792200e-08
0.7023761.6180152.786482e-08
0.7059791.6178932.777815e-08
0.7095991.6177722.769104e-08
0.7132381.6176522.760348e-08
0.7168961.6175332.751548e-08
0.7205731.6174152.742702e-08
0.7242681.6172972.733810e-08
0.7279831.6171812.724873e-08
0.7317161.6170652.715891e-08
0.7354691.6169512.706862e-08
0.7392411.6168372.697787e-08
0.7430321.6167242.688665e-08
0.7468431.6166122.679497e-08
0.7506731.61652.670281e-08
0.7545231.616392.661019e-08
0.7583921.616282.651708e-08
0.7622821.6161712.642350e-08
0.7661911.6160632.632944e-08
0.770121.6159552.623490e-08
0.774071.6158482.613988e-08
0.778041.6157422.604436e-08
0.782031.6156372.594836e-08
0.7860411.6155322.585186e-08
0.7900721.6154282.575487e-08
0.7941241.6153242.565738e-08
0.7981961.6152222.555939e-08
0.81.6151772.551600e-08
0.802291.615122.527816e-08
0.8064051.6150182.485082e-08
0.810541.6149172.442129e-08
0.8146971.6148172.398956e-08
0.8188751.6147172.355561e-08
0.8230751.6146182.311944e-08
0.8272961.614522.268103e-08
0.8315391.6144222.224037e-08
0.8358031.6143242.179745e-08
0.840091.6142272.135227e-08
0.8443981.6141312.090479e-08
0.8487291.6140352.045503e-08
0.851.6140072.032300e-08
0.8530821.613942.039665e-08
0.8574571.6138452.050121e-08
0.8618541.6137512.060631e-08
0.8662741.6136572.071195e-08
0.8707171.6135632.081813e-08
0.8751821.613472.092486e-08
0.8796711.6133782.103213e-08
0.8841821.6132862.113995e-08
0.8887171.6131942.124833e-08
0.8932741.6131032.135726e-08
0.8978561.6130122.146675e-08
0.91.6129692.151800e-08
0.902461.6129212.195011e-08
0.9070881.6128312.276302e-08
0.9117411.6127412.358010e-08
0.9164161.6126522.440137e-08
0.9211161.6125632.522686e-08
0.925841.6124742.605657e-08
0.9305881.6123862.689054e-08
0.9353611.6122972.772879e-08
0.9401581.612212.857134e-08
0.944981.6121222.941821e-08
0.9498261.6120353.026942e-08
0.951.6120323.030000e-08
0.9546971.6119483.044984e-08
0.9595931.6118613.060603e-08
0.9645151.6117753.076301e-08
0.9694611.6116893.092081e-08
0.9744331.6116033.107941e-08
0.979431.6115173.123883e-08
0.9844531.6114313.139906e-08
0.9895021.6113463.156012e-08
0.9945771.6112613.172200e-08
0.9996781.6111763.188471e-08
11.6111713.189500e-08
1.00481.6110913.204826e-08
1.009961.6110073.221265e-08
1.015141.6109223.237788e-08
1.020341.6108383.254395e-08
1.025581.6107543.271088e-08
1.030841.610673.287866e-08
1.036121.6105863.304731e-08
1.041441.6105023.321682e-08
1.046781.6104193.338720e-08
1.052151.6103353.355845e-08
1.057541.6102523.373058e-08
1.061.6102143.380900e-08
1.062971.6101683.390357e-08
1.068421.6100853.407743e-08
1.07391.6100023.425219e-08
1.07941.6099183.442784e-08
1.084941.6098353.460439e-08
1.09051.6097523.478184e-08
1.09611.6096693.496021e-08
1.101721.6095863.513949e-08
1.107371.6095033.531969e-08
1.113051.6094193.550081e-08
1.118761.6093363.568287e-08
1.124491.6092533.586585e-08
1.130261.609173.604978e-08
1.136061.6090863.623465e-08
1.141881.6090033.642046e-08
1.147741.608923.660723e-08
1.153621.6088363.679496e-08
1.159541.6087533.698365e-08
1.165491.6086693.717331e-08
1.171471.6085853.736394e-08
1.177471.6085013.755555e-08
1.183511.6084173.774814e-08
1.189581.6083333.794172e-08
1.195681.6082493.813629e-08
1.21.6081893.827400e-08
1.201811.6081644.007165e-08
1.207981.608084.617896e-08
1.214171.6079955.231759e-08
1.22041.607915.848771e-08
1.226661.6078256.468946e-08
1.232951.607747.092303e-08
1.239271.6076547.718856e-08
1.245631.6075688.348623e-08
1.252021.6074828.981619e-08
1.258441.6073969.617862e-08
1.264891.6073091.025737e-07
1.271381.6072231.090015e-07
1.27791.6071361.154623e-07
1.284451.6070481.219563e-07
1.291041.6069611.284836e-07
1.297661.6068731.350443e-07
1.304321.6067851.416387e-07
1.311011.6066961.482669e-07
1.317731.6066081.549291e-07
1.324491.6065181.616254e-07
1.331281.6064291.683561e-07
1.338111.6063391.751213e-07
1.344971.6062491.819213e-07
1.351871.6061581.887560e-07
1.35881.6060671.956259e-07
1.365771.6059762.025310e-07
1.372771.6058842.094714e-07
1.379811.6057922.164475e-07
1.386891.6056992.234594e-07
1.3941.6056062.305072e-07
1.41.6055272.364500e-07
1.401151.6055122.360478e-07
1.408341.6054182.335385e-07
1.415561.6053242.310164e-07
1.422821.6052292.284813e-07
1.430121.6051332.259332e-07
1.437451.6050372.233720e-07
1.444821.6049412.207977e-07
1.452231.6048442.182102e-07
1.459681.6047462.156095e-07
1.467171.6046482.129953e-07
1.474691.6045492.103678e-07
1.482251.604452.077268e-07
1.489861.604352.050723e-07
1.49751.604252.024042e-07
1.505181.6041491.997223e-07
1.51291.6040471.970267e-07
1.520651.6039451.943173e-07
1.528451.6038421.915940e-07
1.536291.6037381.888567e-07
1.544171.6036341.861054e-07
1.552091.6035291.833400e-07
1.560051.6034231.805604e-07
1.568051.6033171.777665e-07
1.576091.603211.749584e-07
1.584181.6031021.721358e-07
1.59231.6029931.692987e-07
1.61.602891.666100e-07
1.600471.6028841.671702e-07
1.608671.6027741.770273e-07
1.616921.6026631.869348e-07
1.625221.6025511.968932e-07
1.633551.6024382.069026e-07
1.641931.6023252.169634e-07
1.650351.6022112.270758e-07
1.658811.6020962.372400e-07
1.667321.601982.474564e-07
1.675871.6018632.577251e-07
1.684471.6017452.680465e-07
1.693111.6016272.784209e-07
1.701791.6015072.888485e-07
1.710521.6013872.993295e-07
1.719291.6012653.098643e-07
1.728111.6011433.204531e-07
1.736971.6010193.310962e-07
1.745881.6008953.417939e-07
1.754831.6007693.525465e-07
1.763831.6006433.633542e-07
1.772881.6005153.742173e-07
1.781971.6003873.851362e-07
1.791111.6002573.961110e-07
1.81.6001314.067900e-07
1.800291.6001264.074644e-07
1.809531.5999944.286957e-07
1.818811.5998614.500360e-07
1.828131.5997274.714857e-07
1.837511.5995924.930454e-07
1.846931.5994555.147156e-07
1.856411.5993185.364970e-07
1.865931.5991795.583901e-07
1.87551.5990395.803955e-07
1.885111.5988976.025137e-07
1.894781.5987556.247454e-07
1.90451.5986116.470911e-07
1.914271.5984656.695514e-07
1.924081.5983196.921269e-07
1.933951.5981717.148181e-07
1.943871.5980227.376257e-07
1.953841.5978717.605503e-07
1.963861.5977197.835925e-07
1.973931.5975658.067528e-07
1.984051.597418.300319e-07
1.994231.5972548.534304e-07
21.5971658.667000e-07
2.004461.5970969.182044e-07
2.014741.5969371.036999e-06
2.025071.5967761.156402e-06
2.035461.5966131.276418e-06
2.045891.5964491.397050e-06
2.056391.5962841.518300e-06
2.066931.5961161.640172e-06
2.077531.5959481.762669e-06
2.088191.5957771.885794e-06
2.09891.5956052.009551e-06
2.109661.5954312.133942e-06
2.120481.5952552.258972e-06
2.131361.5950782.384642e-06
2.142291.5948992.510957e-06
2.153271.5947182.637920e-06
2.164321.5945352.765534e-06
2.175421.594352.893802e-06
2.186571.5941643.022729e-06
2.197791.5939753.152316e-06
2.21.5939383.177900e-06
2.209061.5937853.319314e-06
2.220391.5935933.496197e-06
2.231771.5933983.673987e-06
2.243221.5932023.852688e-06
2.254721.5930044.032306e-06
2.266291.5928034.212845e-06
2.277911.5926014.394310e-06
2.289591.5923964.576706e-06
2.301331.5921894.760037e-06
2.313141.591984.944309e-06
2.3251.5917695.129525e-06

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
—