Optical constants

Refractive index of H-ZK50 (CDGM)

H-ZK50: 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
1.60738
Extinction coefficient k
2.81403e-08
Permittivity ε1
2.58366
Permittivity ε2
9.04642e-08
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
56.655
Chromatic dispersion dn/dλ
-0.0552393 µm⁻¹
Group index ng
1.63984
Group velocity dispersion
98.53 fs²/mm
Dispersion parameter D
-537.533 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-ZK50 (CDGM): H-ZK50
cdgm_h_zk50 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZK50", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zk50.range_nm)  # (302, 2325) nm
eps = cdgm_h_zk50.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=0.434311306λ2λ2+0.00192252587+1.10560033λ2λ2−0.0147271072+0.988776159λ2λ2−110.41165

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.434311306
C3-0.00192252587
C41.10560033
C50.0147271072
C60.988776159
C7110.41165

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.24e-06 1.77e-08 -2.57e-11 5.34e-07 1.22e-10 0.194
nd
1.607380
Vd
56.654511
glass code
607567
density
value: 3540
thermal expansion
value: 6.8e-06, temperature range: 243 343; value: 7.7e-06, temperature range: 293 573
dPgF
-0.001
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.31e-06 K⁻¹ at 633 nm, dn/dT = 1.71e-06 K⁻¹ at 1310 nm, dn/dT = 1.66e-06 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-ZK50 (CDGM), H-ZK50: n and k versus wavelength
λ (µm)nk
0.3021.656216.288640e-06
0.3035491.6554565.796459e-06
0.3051061.6547125.301753e-06
0.306671.6539784.804511e-06
0.3082431.6532544.304718e-06
0.3098241.652543.802362e-06
0.311.6524613.746400e-06
0.3114131.6518353.496470e-06
0.313011.651143.213945e-06
0.3146151.6504542.929972e-06
0.3162291.6497772.644542e-06
0.317851.649112.357649e-06
0.3194811.6484512.069284e-06
0.321.6482431.977400e-06
0.3211191.6478011.872489e-06
0.3227661.6471591.718096e-06
0.3244211.6465261.562910e-06
0.3260851.6459011.406929e-06
0.3277571.6452851.250148e-06
0.3294381.6446761.092563e-06
0.331.6444751.039900e-06
0.3311281.6440769.857918e-07
0.3328261.6434839.043176e-07
0.3345331.6428988.224255e-07
0.3362491.642327.401134e-07
0.3379731.641756.573792e-07
0.3397061.6411875.742207e-07
0.341.6410925.601300e-07
0.3414481.6406315.219506e-07
0.34321.6400834.757945e-07
0.344961.6395414.294017e-07
0.3467291.6390063.827709e-07
0.3485071.6384783.359010e-07
0.351.6380422.965500e-07
0.3502941.6379572.926804e-07
0.3520911.6374422.690655e-07
0.3538971.6369342.453295e-07
0.3557121.6364322.214718e-07
0.3575361.6359361.974918e-07
0.3593691.6354471.733887e-07
0.361.6352811.651000e-07
0.3612121.6349641.570617e-07
0.3630651.6344861.447803e-07
0.3649271.6340151.324359e-07
0.3667981.6335491.200282e-07
0.368681.6330891.075568e-07
0.371.6327719.880300e-08
0.370571.6326359.665204e-08
0.3724711.6321868.948515e-08
0.3743811.6317438.228151e-08
0.3763011.6313057.504093e-08
0.3782311.6308736.776321e-08
0.381.6304836.109200e-08
0.3801711.6304466.095748e-08
0.382121.6300245.942131e-08
0.384081.6296075.787725e-08
0.386051.6291955.632528e-08
0.388031.6287885.476534e-08
0.391.628395.321300e-08
0.390021.6283865.319012e-08
0.392021.6279885.087766e-08
0.394031.6275964.855335e-08
0.3960511.6272084.621711e-08
0.3980821.6268254.386889e-08
0.41.6264694.165200e-08
0.4001241.6264464.158109e-08
0.4021761.6260724.040773e-08
0.4042391.6257023.922836e-08
0.4063121.6253363.804293e-08
0.4083961.6249753.685143e-08
0.410491.6246183.565382e-08
0.4125951.6242663.445006e-08
0.4147111.6239173.324013e-08
0.4168381.6235723.202400e-08
0.4189761.6232323.080163e-08
0.421.6230713.021600e-08
0.4211251.6228953.029691e-08
0.4232841.6225623.045230e-08
0.4254551.6222343.060850e-08
0.4276371.6219083.076549e-08
0.429831.6215873.092328e-08
0.4320351.6212693.108189e-08
0.434251.6209553.124131e-08
0.4364771.6206453.140155e-08
0.4387161.6203383.156260e-08
0.441.6201643.165500e-08
0.4409661.6200343.136811e-08
0.4432271.6197343.069633e-08
0.44551.6194383.002111e-08
0.4477851.6191442.934242e-08
0.4500821.6188542.866026e-08
0.452391.6185682.797459e-08
0.454711.6182842.728541e-08
0.4570421.6180042.659269e-08
0.4593861.6177272.589642e-08
0.461.6176552.571400e-08
0.4617421.6174532.547650e-08
0.464111.6171822.515361e-08
0.466491.6169132.482907e-08
0.4688831.6166482.450287e-08
0.4712871.6163862.417499e-08
0.4737041.6161272.384544e-08
0.4761341.615872.351419e-08
0.4785751.6156172.318124e-08
0.481.6154712.298700e-08
0.481031.6153662.303633e-08
0.4834971.6151182.315450e-08
0.4859761.6148722.327327e-08
0.4884691.6146292.339265e-08
0.4909741.6143892.351265e-08
0.4934921.6141522.363326e-08
0.4960231.6139172.375449e-08
0.4985671.6136842.387634e-08
0.51.6135552.394500e-08
0.5011231.6134542.399881e-08
0.5036931.6132272.412192e-08
0.5062771.6130022.424565e-08
0.5088731.6127792.437002e-08
0.5114831.6125592.449503e-08
0.5141061.6123412.462068e-08
0.5167431.6121252.474697e-08
0.5193931.6119112.487391e-08
0.5220561.61172.500151e-08
0.5247341.6114912.512975e-08
0.5274251.6112842.525866e-08
0.530131.611082.538822e-08
0.5328491.6108772.551845e-08
0.5355811.6106772.564935e-08
0.5383281.6104782.578092e-08
0.5410891.6102822.591316e-08
0.5438641.6100882.604608e-08
0.5466531.6098952.617969e-08
0.5494571.6097052.631397e-08
0.551.6096692.634000e-08
0.5522751.6095172.644891e-08
0.5551071.609332.658452e-08
0.5579541.6091462.672083e-08
0.5608151.6089632.685783e-08
0.5636911.6087822.699554e-08
0.5665821.6086032.713396e-08
0.5694881.6084252.727309e-08
0.5724091.608252.741293e-08
0.5753441.6080762.755348e-08
0.5782951.6079042.769476e-08
0.5812611.6077342.783676e-08
0.5842421.6075652.797949e-08
0.5872381.6073982.812296e-08
0.590251.6072322.826715e-08
0.5932771.6070692.841209e-08
0.5963191.6069062.855777e-08
0.5993781.6067462.870420e-08
0.61.6067132.873400e-08
0.6024521.6065872.885143e-08
0.6055411.6064292.899943e-08
0.6086471.6062732.914818e-08
0.6117681.6061182.929770e-08
0.6149061.6059652.944798e-08
0.6180591.6058142.959904e-08
0.6212291.6056632.975087e-08
0.6244151.6055142.990348e-08
0.6276171.6053673.005687e-08
0.6308361.6052213.021105e-08
0.6340711.6050763.036601e-08
0.6373231.6049333.052178e-08
0.6405921.6047913.067834e-08
0.6438771.604653.083570e-08
0.6471791.604513.099388e-08
0.651.6043933.112900e-08
0.6504981.6043723.104130e-08
0.6538341.6042353.045395e-08
0.6571871.6040992.986358e-08
0.6605581.6039652.927019e-08
0.6639451.6038312.867376e-08
0.6673511.6036992.807426e-08
0.6707731.6035682.747170e-08
0.6742131.6034382.686604e-08
0.6776711.6033092.625727e-08
0.6811461.6031822.564539e-08
0.684641.6030552.503036e-08
0.6881511.602932.441218e-08
0.691681.6028052.379083e-08
0.6952271.6026822.316630e-08
0.6987931.602562.253856e-08
0.71.6025182.232600e-08
0.7023761.6024382.224998e-08
0.7059791.6023182.213474e-08
0.7095991.6021992.201892e-08
0.7132381.602082.190250e-08
0.7168961.6019632.178549e-08
0.7205731.6018462.166787e-08
0.7242681.6017312.154965e-08
0.7279831.6016162.143083e-08
0.7317161.6015032.131140e-08
0.7354691.601392.119135e-08
0.7392411.6012782.107069e-08
0.7430321.6011672.094941e-08
0.7468431.6010572.082751e-08
0.7506731.6009472.070498e-08
0.7545231.6008392.058182e-08
0.7583921.6007312.045803e-08
0.7622821.6006242.033361e-08
0.7661911.6005182.020855e-08
0.770121.6004132.008285e-08
0.774071.6003081.995650e-08
0.778041.6002041.982951e-08
0.782031.6001011.970186e-08
0.7860411.5999991.957356e-08
0.7900721.5998971.944460e-08
0.7941241.5997961.931498e-08
0.7981961.5996961.918469e-08
0.81.5996521.912700e-08
0.802291.5995961.918178e-08
0.8064051.5994971.928020e-08
0.810541.5993991.937912e-08
0.8146971.5993021.947856e-08
0.8188751.5992051.957850e-08
0.8230751.5991081.967895e-08
0.8272961.5990121.977992e-08
0.8315391.5989171.988141e-08
0.8358031.5988231.998342e-08
0.840091.5987292.008595e-08
0.8443981.5986352.018901e-08
0.8487291.5985422.029259e-08
0.851.5985152.032300e-08
0.8530821.598452.039665e-08
0.8574571.5983582.050121e-08
0.8618541.5982672.060631e-08
0.8662741.5981762.071195e-08
0.8707171.5980862.081813e-08
0.8751821.5979962.092486e-08
0.8796711.5979072.103213e-08
0.8841821.5978182.113995e-08
0.8887171.597732.124833e-08
0.8932741.5976422.135726e-08
0.8978561.5975542.146675e-08
0.91.5975142.151800e-08
0.902461.5974672.157685e-08
0.9070881.5973812.168756e-08
0.9117411.5972942.179883e-08
0.9164161.5972092.191068e-08
0.9211161.5971232.202310e-08
0.925841.5970382.213610e-08
0.9305881.5969532.224967e-08
0.9353611.5968692.236383e-08
0.9401581.5967852.247858e-08
0.944981.5967012.259391e-08
0.9498261.5966182.270984e-08
0.951.5966152.271400e-08
0.9546971.5965352.282626e-08
0.9595931.5964532.294328e-08
0.9645151.596372.306090e-08
0.9694611.5962882.317912e-08
0.9744331.5962062.329795e-08
0.979431.5961252.341739e-08
0.9844531.5960442.353744e-08
0.9895021.5959632.365810e-08
0.9945771.5958822.377939e-08
0.9996781.5958022.390129e-08
11.5957972.390900e-08
1.00481.5957212.402391e-08
1.009961.5956412.414715e-08
1.015141.5955622.427103e-08
1.020341.5954822.439554e-08
1.025581.5954032.452070e-08
1.030841.5953232.464649e-08
1.036121.5952442.477293e-08
1.041441.5951652.490002e-08
1.046781.5950872.502776e-08
1.052151.5950082.515615e-08
1.057541.594932.528520e-08
1.061.5948942.534400e-08
1.062971.5948522.541489e-08
1.068421.5947732.554522e-08
1.07391.5946952.567622e-08
1.07941.5946172.580788e-08
1.084941.594542.594023e-08
1.09051.5944622.607325e-08
1.09611.5943842.620695e-08
1.101721.5943072.634135e-08
1.107371.5942292.647642e-08
1.113051.5941522.661220e-08
1.118761.5940742.674867e-08
1.124491.5939972.688583e-08
1.130261.5939192.702371e-08
1.136061.5938422.716229e-08
1.141881.5937652.730157e-08
1.147741.5936872.744158e-08
1.153621.593612.758230e-08
1.159541.5935332.772374e-08
1.165491.5934552.786591e-08
1.171471.5933782.800881e-08
1.177471.59332.815244e-08
1.183511.5932232.829681e-08
1.189581.5931452.844192e-08
1.195681.5930682.858777e-08
1.21.5930132.869100e-08
1.201811.592992.954856e-08
1.207981.5929123.246203e-08
1.214171.5928343.539043e-08
1.22041.5927563.833386e-08
1.226661.5926784.129238e-08
1.232951.59264.426608e-08
1.239271.5925224.725502e-08
1.245631.5924435.025930e-08
1.252021.5923655.327898e-08
1.258441.5922865.631415e-08
1.264891.5922075.936488e-08
1.271381.5921286.243126e-08
1.27791.5920486.551337e-08
1.284451.5919696.861128e-08
1.291041.5918897.172508e-08
1.297661.5918097.485485e-08
1.304321.5917297.800067e-08
1.311011.5916498.116262e-08
1.317731.5915688.434079e-08
1.324491.5914888.753526e-08
1.331281.5914069.074611e-08
1.338111.5913259.397343e-08
1.344971.5912439.721730e-08
1.351871.5911621.004778e-07
1.35881.5910791.037550e-07
1.365771.5909971.070491e-07
1.372771.5909141.103600e-07
1.379811.5908311.136879e-07
1.386891.5907481.170329e-07
1.3941.5906641.203950e-07
1.41.5905931.232300e-07
1.401151.590581.230354e-07
1.408341.5904951.218214e-07
1.415561.590411.206011e-07
1.422821.5903251.193746e-07
1.430121.5902391.181418e-07
1.437451.5901531.169026e-07
1.444821.5900671.156571e-07
1.452231.589981.144052e-07
1.459681.5898931.131469e-07
1.467171.5898051.118822e-07
1.474691.5897171.106109e-07
1.482251.5896281.093332e-07
1.489861.5895391.080488e-07
1.49751.5894491.067579e-07
1.505181.5893591.054604e-07
1.51291.5892691.041562e-07
1.520651.5891781.028454e-07
1.528451.5890861.015278e-07
1.536291.5889941.002034e-07
1.544171.5889019.887228e-08
1.552091.5888089.753432e-08
1.560051.5887149.618949e-08
1.568051.588629.483776e-08
1.576091.5885259.347911e-08
1.584181.5884299.211348e-08
1.59231.5883339.074085e-08
1.61.5882428.944000e-08
1.600471.5882378.973636e-08
1.608671.5881399.495050e-08
1.616921.5880411.001914e-07
1.625221.5879421.054591e-07
1.633551.5878431.107539e-07
1.641931.5877431.160759e-07
1.650351.5876421.214251e-07
1.658811.5875411.268017e-07
1.667321.5874391.322060e-07
1.675871.5873361.376379e-07
1.684471.5872321.430977e-07
1.693111.5871281.485855e-07
1.701791.5870221.541015e-07
1.710521.5869171.596457e-07
1.719291.586811.652184e-07
1.728111.5867021.708197e-07
1.736971.5865941.764496e-07
1.745881.5864851.821085e-07
1.754831.5863751.877964e-07
1.763831.5862641.935134e-07
1.772881.5861521.992598e-07
1.781971.586042.050356e-07
1.791111.5859262.108411e-07
1.81.5858152.164900e-07
1.800291.5858122.168353e-07
1.809531.5856962.277070e-07
1.818811.585582.386344e-07
1.828131.5854632.496178e-07
1.837511.5853442.606576e-07
1.846931.5852252.717540e-07
1.856411.5851052.829073e-07
1.865931.5849842.941179e-07
1.87551.5848613.053859e-07
1.885111.5847383.167117e-07
1.894781.5846143.280955e-07
1.90451.5844883.395378e-07
1.914271.5843623.510387e-07
1.924081.5842343.625987e-07
1.933951.5841053.742179e-07
1.943871.5839763.858967e-07
1.953841.5838453.976354e-07
1.963861.5837124.094342e-07
1.973931.5835794.212937e-07
1.984051.5834444.332139e-07
1.994231.5833084.451952e-07
21.5832314.519900e-07
2.004461.5831714.765747e-07
2.014741.5830335.332791e-07
2.025071.5828935.902743e-07
2.035461.5827526.475617e-07
2.045891.582617.051430e-07
2.056391.5824667.630196e-07
2.066931.5823228.211930e-07
2.077531.5821758.796648e-07
2.088191.5820289.384364e-07
2.09891.5818789.975095e-07
2.109661.5817281.056885e-06
2.120481.5815761.116566e-06
2.131361.5814221.176553e-06
2.142291.5812681.236847e-06
2.153271.5811111.297450e-06
2.164321.5809531.358364e-06
2.175421.5807941.419591e-06
2.186571.5806321.481132e-06
2.197791.580471.542988e-06
2.21.5804371.555200e-06
2.209061.5803051.610206e-06
2.220391.5801391.679008e-06
2.231771.5799721.748163e-06
2.243221.5798021.817673e-06
2.254721.5796311.887539e-06
2.266291.5794591.957763e-06
2.277911.5792842.028348e-06
2.289591.5791082.099295e-06
2.301331.578932.170605e-06
2.313141.578752.242281e-06
2.3251.5785682.314325e-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
—