Optical constants

Refractive index of H-ZK20 (CDGM)

H-ZK20: 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
1.6172
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.61533
Permittivity ε2
6.06172e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
53.914
Chromatic dispersion dn/dλ
-0.0588387 µm⁻¹
Group index ng
1.65177
Group velocity dispersion
106.921 fs²/mm
Dispersion parameter D
-583.313 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-ZK20 (CDGM): H-ZK20
cdgm_h_zk20 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZK20", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zk20.range_nm)  # (302, 2325) nm
eps = cdgm_h_zk20.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=0.812249368λ2λ2−0.0181753969+0.755251214λ2λ2−0.00247827771+1.15073913λ2λ2−144.030731

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.812249368
C30.0181753969
C40.755251214
C50.00247827771
C61.15073913
C7144.030731

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.38e-07 1.59e-08 -2.45e-11 6.4e-07 4.47e-10 0.192
nd
1.617200
Vd
53.913743
glass code
617539
density
value: 3660
thermal expansion
value: 7.8e-06, temperature range: 243 343; value: 9e-06, temperature range: 293 573
dPgF
-0.0009

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.04e-06 K⁻¹ at 633 nm, dn/dT = 3.51e-07 K⁻¹ at 1310 nm, dn/dT = 2.96e-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-ZK20 (CDGM), H-ZK20: n and k versus wavelength
λ (µm)nk
0.3021.6703355.263420e-06
0.3035491.66954.887771e-06
0.3051061.6686764.510196e-06
0.306671.6678634.130684e-06
0.3082431.6670633.749226e-06
0.3098241.6662733.365812e-06
0.311.6661863.323100e-06
0.3114131.6654953.102980e-06
0.313011.6647272.854155e-06
0.3146151.663972.604052e-06
0.3162291.6632242.352668e-06
0.317851.6624882.099994e-06
0.3194811.6617621.846024e-06
0.321.6615341.765100e-06
0.3211191.6610461.672392e-06
0.3227661.660341.535958e-06
0.3244211.6596441.398824e-06
0.3260851.6589571.260986e-06
0.3277571.6582791.122442e-06
0.3294381.657619.831870e-07
0.331.657399.366500e-07
0.3311281.6569518.853095e-07
0.3328261.65638.080026e-07
0.3345331.6556587.302992e-07
0.3362491.6550246.521974e-07
0.3379731.6543995.736950e-07
0.3397061.6537824.947900e-07
0.341.6536794.814200e-07
0.3414481.6531744.475238e-07
0.34321.6525734.065458e-07
0.344961.651983.653576e-07
0.3467291.6513953.239581e-07
0.3485071.6508182.823464e-07
0.351.6503412.474100e-07
0.3502941.6502482.440982e-07
0.3520911.6496852.238877e-07
0.3538971.649132.035735e-07
0.3557121.6485821.831552e-07
0.3575361.6480411.626321e-07
0.3593691.6475071.420038e-07
0.361.6473251.349100e-07
0.3612121.646981.275909e-07
0.3630651.6464591.164084e-07
0.3649271.6459451.051685e-07
0.3667981.6454379.387103e-08
0.368681.6449368.251558e-08
0.371.644597.454500e-08
0.370571.6444427.325046e-08
0.3724711.6439536.893714e-08
0.3743811.6434716.460170e-08
0.3763011.6429946.024403e-08
0.3782311.6425245.586400e-08
0.381.64215.184900e-08
0.3801711.6420595.165712e-08
0.382121.64164.946584e-08
0.384081.6411474.726332e-08
0.386051.64074.504951e-08
0.388031.6402584.282434e-08
0.391.6398254.061000e-08
0.390021.6398214.059294e-08
0.392021.639393.886895e-08
0.394031.6389643.713612e-08
0.3960511.6385433.539440e-08
0.3980821.6381273.364375e-08
0.41.6377413.199100e-08
0.4001241.6377163.193821e-08
0.4021761.6373113.106476e-08
0.4042391.636913.018683e-08
0.4063121.6365142.930440e-08
0.4083961.6361232.841744e-08
0.410491.6357362.752593e-08
0.4125951.6353542.662985e-08
0.4147111.6349772.572917e-08
0.4168381.6346042.482388e-08
0.4189761.6342352.391394e-08
0.421.6340612.347800e-08
0.4211251.6338712.354086e-08
0.4232841.6335112.366159e-08
0.4254551.6331562.378294e-08
0.4276371.6328042.390491e-08
0.429831.6324572.402751e-08
0.4320351.6321142.415073e-08
0.434251.6317742.427459e-08
0.4364771.6314392.439908e-08
0.4387161.6311082.452421e-08
0.441.630922.459600e-08
0.4409661.630782.447209e-08
0.4432271.6304562.418194e-08
0.44551.6301362.389030e-08
0.4477851.629822.359717e-08
0.4500821.6295072.330253e-08
0.452391.6291982.300638e-08
0.454711.6288932.270871e-08
0.4570421.628592.240952e-08
0.4593861.6282922.210879e-08
0.461.6282142.203000e-08
0.4617421.6279962.177882e-08
0.464111.6277052.143735e-08
0.466491.6274162.109413e-08
0.4688831.627132.074914e-08
0.4712871.6268482.040239e-08
0.4737041.6265692.005386e-08
0.4761341.6262931.970354e-08
0.4785751.6260211.935142e-08
0.481.6258631.914600e-08
0.481031.6257511.918709e-08
0.4834971.6254841.928552e-08
0.4859761.625221.938446e-08
0.4884691.6249591.948390e-08
0.4909741.6247011.958386e-08
0.4934921.6244461.968432e-08
0.4960231.6241941.978531e-08
0.4985671.6239441.988681e-08
0.51.6238051.994400e-08
0.5011231.6236971.989003e-08
0.5036931.6234531.976656e-08
0.5062771.6232111.964247e-08
0.5088731.6229731.951773e-08
0.5114831.6227361.939236e-08
0.5141061.6225021.926634e-08
0.5167431.6222711.913968e-08
0.5193931.6220421.901237e-08
0.5220561.6218161.888441e-08
0.5247341.6215921.875578e-08
0.5274251.6213711.862650e-08
0.530131.6211521.849656e-08
0.5328491.6209351.836595e-08
0.5355811.620721.823467e-08
0.5383281.6205081.810272e-08
0.5410891.6202981.797009e-08
0.5438641.620091.783678e-08
0.5466531.6198851.770278e-08
0.5494571.6196811.756810e-08
0.551.6196421.754200e-08
0.5522751.619481.761456e-08
0.5551071.619281.770491e-08
0.5579541.6190831.779573e-08
0.5608151.6188881.788701e-08
0.5636911.6186951.797876e-08
0.5665821.6185041.807098e-08
0.5694881.6183151.816367e-08
0.5724091.6181271.825684e-08
0.5753441.6179421.835048e-08
0.5782951.6177581.844461e-08
0.5812611.6175771.853922e-08
0.5842421.6173971.863431e-08
0.5872381.6172191.872989e-08
0.590251.6170431.882596e-08
0.5932771.6168681.892253e-08
0.5963191.6166961.901959e-08
0.5993781.6165251.911715e-08
0.61.616491.913700e-08
0.6024521.6163561.921520e-08
0.6055411.6161881.931377e-08
0.6086471.6160221.941283e-08
0.6117681.6158581.951241e-08
0.6149061.6156951.961249e-08
0.6180591.6155341.971309e-08
0.6212291.6153741.981420e-08
0.6244151.6152161.991584e-08
0.6276171.615062.001799e-08
0.6308361.6149052.012067e-08
0.6340711.6147512.022387e-08
0.6373231.6145992.032761e-08
0.6405921.6144492.043187e-08
0.6438771.61432.053667e-08
0.6471791.6141522.064201e-08
0.651.6140272.073200e-08
0.6504981.6140052.069219e-08
0.6538341.613862.042557e-08
0.6571871.6137172.015758e-08
0.6605581.6135741.988822e-08
0.6639451.6134331.961748e-08
0.6673511.6132941.934534e-08
0.6707731.6131551.907182e-08
0.6742131.6130181.879689e-08
0.6776711.6128821.852055e-08
0.6811461.6127471.824279e-08
0.684641.6126141.796361e-08
0.6881511.6124821.768299e-08
0.691681.6123511.740094e-08
0.6952271.6122211.711744e-08
0.6987931.6120921.683249e-08
0.71.6120491.673600e-08
0.7023761.6119641.679282e-08
0.7059791.6118381.687895e-08
0.7095991.6117121.696552e-08
0.7132381.6115881.705253e-08
0.7168961.6114641.713999e-08
0.7205731.6113421.722790e-08
0.7242681.6112211.731626e-08
0.7279831.6111011.740507e-08
0.7317161.6109811.749434e-08
0.7354691.6108631.758406e-08
0.7392411.6107461.767425e-08
0.7430321.610631.776489e-08
0.7468431.6105141.785601e-08
0.7506731.61041.794759e-08
0.7545231.6102871.803964e-08
0.7583921.6101741.813216e-08
0.7622821.6100621.822515e-08
0.7661911.6099521.831863e-08
0.770121.6098421.841258e-08
0.774071.6097331.850701e-08
0.778041.6096241.860193e-08
0.782031.6095171.869734e-08
0.7860411.6094111.879323e-08
0.7900721.6093051.888962e-08
0.7941241.60921.898650e-08
0.7981961.6090961.908388e-08
0.81.609051.912700e-08
0.802291.6089921.887120e-08
0.8064051.608891.841161e-08
0.810541.6087881.794965e-08
0.8146971.6086871.748533e-08
0.8188751.6085861.701863e-08
0.8230751.6084861.654953e-08
0.8272961.6083871.607803e-08
0.8315391.6082891.560411e-08
0.8358031.6081911.512776e-08
0.840091.6080941.464896e-08
0.8443981.6079981.416771e-08
0.8487291.6079021.368399e-08
0.851.6078741.354200e-08
0.8530821.6078071.359106e-08
0.8574571.6077121.366071e-08
0.8618541.6076181.373072e-08
0.8662741.6075251.380108e-08
0.8707171.6074321.387181e-08
0.8751821.607341.394290e-08
0.8796711.6072491.401436e-08
0.8841821.6071581.408618e-08
0.8887171.6070671.415837e-08
0.8932741.6069771.423093e-08
0.8978561.6068881.430386e-08
0.91.6068461.433800e-08
0.902461.6067991.437722e-08
0.9070881.606711.445099e-08
0.9117411.6066221.452514e-08
0.9164161.6065351.459968e-08
0.9211161.6064481.467459e-08
0.925841.6063611.474989e-08
0.9305881.6062751.482558e-08
0.9353611.606191.490165e-08
0.9401581.6061041.497812e-08
0.944981.606021.505497e-08
0.9498261.6059351.513222e-08
0.951.6059321.513500e-08
0.9546971.6058511.520978e-08
0.9595931.6057681.528772e-08
0.9645151.6056841.536607e-08
0.9694611.6056021.544482e-08
0.9744331.6055191.552397e-08
0.979431.6054371.560353e-08
0.9844531.6053551.568350e-08
0.9895021.6052741.576387e-08
0.9945771.6051931.584466e-08
0.9996781.6051121.592587e-08
11.6051071.593100e-08
1.00481.6050311.600755e-08
1.009961.6049511.608966e-08
1.015141.6048711.617219e-08
1.020341.6047921.625514e-08
1.025581.6047121.633851e-08
1.030841.6046331.642232e-08
1.036121.6045541.650655e-08
1.041441.6044761.659122e-08
1.046781.6043971.667632e-08
1.052151.6043191.676185e-08
1.057541.6042411.684783e-08
1.061.6042061.688700e-08
1.062971.6041641.693425e-08
1.068421.6040861.702113e-08
1.07391.6040091.710844e-08
1.07941.6039321.719621e-08
1.084941.6038551.728443e-08
1.09051.6037781.737309e-08
1.09611.6037021.746222e-08
1.101721.6036251.755180e-08
1.107371.6035491.764184e-08
1.113051.6034731.773234e-08
1.118761.6033971.782330e-08
1.124491.6033211.791474e-08
1.130261.6032451.800664e-08
1.136061.6031691.809901e-08
1.141881.6030931.819185e-08
1.147741.6030181.828518e-08
1.153621.6029421.837898e-08
1.159541.6028671.847326e-08
1.165491.6027921.856802e-08
1.171471.6027161.866328e-08
1.177471.6026411.875902e-08
1.183511.6025661.885525e-08
1.189581.602491.895197e-08
1.195681.6024151.904919e-08
1.21.6023621.911800e-08
1.201811.602341.975630e-08
1.207981.6022652.192484e-08
1.214171.602192.410450e-08
1.22041.6021142.629535e-08
1.226661.6020392.849743e-08
1.232951.6019643.071080e-08
1.239271.6018883.293552e-08
1.245631.6018133.517165e-08
1.252021.6017383.741925e-08
1.258441.6016623.967838e-08
1.264891.6015864.194910e-08
1.271381.6015114.423145e-08
1.27791.6014354.652552e-08
1.284451.6013594.883135e-08
1.291041.6012835.114900e-08
1.297661.6012075.347854e-08
1.304321.6011315.582003e-08
1.311011.6010545.817353e-08
1.317731.6009786.053909e-08
1.324491.6009016.291679e-08
1.331281.6008246.530668e-08
1.338111.6007476.770883e-08
1.344971.600677.012330e-08
1.351871.6005937.255015e-08
1.35881.6005157.498945e-08
1.365771.6004377.744126e-08
1.372771.6003597.990564e-08
1.379811.6002818.238266e-08
1.386891.6002028.487238e-08
1.3941.6001248.737487e-08
1.41.6000578.948500e-08
1.401151.6000458.926357e-08
1.408341.5999668.788199e-08
1.415561.5998868.649332e-08
1.422821.5998068.509753e-08
1.430121.5997268.369458e-08
1.437451.5996468.228444e-08
1.444821.5995658.086706e-08
1.452231.5994847.944242e-08
1.459681.5994037.801047e-08
1.467171.5993217.657117e-08
1.474691.5992397.512450e-08
1.482251.5991577.367040e-08
1.489861.5990747.220885e-08
1.49751.5989917.073980e-08
1.505181.5989086.926322e-08
1.51291.5988246.777906e-08
1.520651.598746.628729e-08
1.528451.5986556.478788e-08
1.536291.598576.328077e-08
1.544171.5984856.176593e-08
1.552091.5983996.024333e-08
1.560051.5983135.871291e-08
1.568051.5982265.717465e-08
1.576091.5981395.562850e-08
1.584181.5980515.407442e-08
1.59231.5979635.251237e-08
1.61.5978795.103200e-08
1.600471.5978745.151986e-08
1.608671.5977856.010331e-08
1.616921.5976956.873078e-08
1.625221.5976057.740250e-08
1.633551.5975148.611869e-08
1.641931.5974229.487958e-08
1.650351.5973311.036854e-07
1.658811.5972381.125364e-07
1.667321.5971451.214328e-07
1.675871.5970511.303748e-07
1.684471.5969571.393626e-07
1.693111.5968621.483966e-07
1.701791.5967671.574769e-07
1.710521.5966711.666037e-07
1.719291.5965741.757774e-07
1.728111.5964761.849981e-07
1.736971.5963781.942661e-07
1.745881.5962792.035816e-07
1.754831.596182.129449e-07
1.763831.596082.223562e-07
1.772881.5959792.318158e-07
1.781971.5958772.413239e-07
1.791111.5957752.508808e-07
1.81.5956752.601800e-07
1.800291.5956722.606541e-07
1.809531.5955682.755813e-07
1.818811.5954632.905850e-07
1.828131.5953583.056657e-07
1.837511.5952523.208238e-07
1.846931.5951443.360595e-07
1.856411.5950373.513734e-07
1.865931.5949283.667658e-07
1.87551.5948183.822372e-07
1.885111.5947083.977879e-07
1.894781.5945964.134184e-07
1.90451.5944844.291291e-07
1.914271.5943714.449203e-07
1.924081.5942574.607925e-07
1.933951.5941424.767460e-07
1.943871.5940264.927815e-07
1.953841.5939095.088991e-07
1.963861.5937915.250994e-07
1.973931.5936725.413828e-07
1.984051.5935535.577497e-07
1.994231.5934325.742005e-07
21.5933635.835300e-07
2.004461.593316.022084e-07
2.014741.5931876.452898e-07
2.025071.5930636.885922e-07
2.035461.5929387.321167e-07
2.045891.5928117.758644e-07
2.056391.5926848.198365e-07
2.066931.5925558.640341e-07
2.077531.5924269.084583e-07
2.088191.5922959.531104e-07
2.09891.5921639.979915e-07
2.109661.592031.043103e-06
2.120481.5918961.088445e-06
2.131361.591761.134020e-06
2.142291.5916231.179829e-06
2.153271.5914851.225873e-06
2.164321.5913461.272153e-06
2.175421.5912051.318670e-06
2.186571.5910631.365426e-06
2.197791.590921.412422e-06
2.21.5908911.421700e-06
2.209061.5907751.462006e-06
2.220391.5906291.512421e-06
2.231771.5904821.563094e-06
2.243221.5903331.614027e-06
2.254721.5901821.665222e-06
2.266291.5900311.716679e-06
2.277911.5898781.768400e-06
2.289591.5897231.820386e-06
2.301331.5895671.872639e-06
2.313141.5894091.925160e-06
2.3251.589251.977950e-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
—