Optical constants

Refractive index of H-ZK4 (CDGM)

H-ZK4: 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
1.60881
Extinction coefficient k
2.23480e-08
Permittivity ε1
2.58826
Permittivity ε2
7.19074e-08
Absorption coefficient α
0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk)
4.18468e+09 nm
Abbe number Vd
58.856
Chromatic dispersion dn/dλ
-0.0534007 µm⁻¹
Group index ng
1.64019
Group velocity dispersion
93.985 fs²/mm
Dispersion parameter D
-512.738 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-ZK4 (CDGM): H-ZK4
cdgm_h_zk4 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZK4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zk4.range_nm)  # (302, 2325) nm
eps = cdgm_h_zk4.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=0.805862971λ2λ2−0.00365339732+0.74036711λ2λ2−0.0162978769+0.904054991λ2λ2−95.9876087

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.805862971
C30.00365339732
C40.74036711
C50.0162978769
C60.904054991
C795.9876087

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 6.94e-07 1.7e-08 -7.12e-11 3.52e-07 4e-11 0.267
nd
1.608810
Vd
58.855991
glass code
609589
density
value: 3530
thermal expansion
value: 6.3e-06, temperature range: 243 343; value: 7.9e-06, temperature range: 293 573
dPgF
-0.001
resistance
climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 8.67e-07 K⁻¹ at 633 nm, dn/dT = 4.38e-07 K⁻¹ at 1310 nm, dn/dT = 4.06e-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-ZK4 (CDGM), H-ZK4: n and k versus wavelength
λ (µm)nk
0.3021.655327.786060e-06
0.3035491.6546087.332847e-06
0.3051061.6539066.877309e-06
0.306671.6532126.419435e-06
0.3082431.6525295.959213e-06
0.3098241.6518545.496631e-06
0.311.6517795.445100e-06
0.3114131.6511885.133782e-06
0.313011.6505314.781864e-06
0.3146151.6498834.428142e-06
0.3162291.6492434.072605e-06
0.317851.6486123.715245e-06
0.3194811.6479893.356052e-06
0.321.6477933.241600e-06
0.3211191.6473743.088480e-06
0.3227661.6467672.863140e-06
0.3244211.6461682.636644e-06
0.3260851.6455772.408986e-06
0.3277571.6449932.180161e-06
0.3294381.6444171.950162e-06
0.331.6442271.873300e-06
0.3311281.6438481.779716e-06
0.3328261.6432861.638800e-06
0.3345331.6427321.497161e-06
0.3362491.6421851.354796e-06
0.3379731.6416441.211700e-06
0.3397061.6411111.067871e-06
0.341.6410221.043500e-06
0.3414481.6405849.773618e-07
0.34321.6400648.974055e-07
0.344961.639558.170392e-07
0.3467291.6390437.362606e-07
0.3485071.6385426.550678e-07
0.351.6381285.869000e-07
0.3502941.6380485.793559e-07
0.3520911.6375595.333173e-07
0.3538971.6370774.870425e-07
0.3557121.63664.405304e-07
0.3575361.6361293.937798e-07
0.3593691.6356653.467894e-07
0.361.6355073.306300e-07
0.3612121.6352053.130116e-07
0.3630651.6347522.860932e-07
0.3649271.6343042.590367e-07
0.3667981.6338612.318414e-07
0.368681.6334242.045067e-07
0.371.6331211.853200e-07
0.370571.6329921.812526e-07
0.3724711.6325651.677003e-07
0.3743811.6321441.540785e-07
0.3763011.6317271.403869e-07
0.3782311.6313161.266250e-07
0.381.6309441.140100e-07
0.3801711.6309091.134050e-07
0.382121.6305071.064960e-07
0.384081.630119.955158e-08
0.386051.6297189.257154e-08
0.388031.629338.555570e-08
0.391.6289517.857400e-08
0.390021.6289477.852011e-08
0.392021.6285697.307290e-08
0.394031.6281956.759776e-08
0.3960511.6278256.209454e-08
0.3980821.6274595.656309e-08
0.41.627125.134100e-08
0.4001241.6270985.125188e-08
0.4021761.6267414.977718e-08
0.4042391.6263894.829492e-08
0.4063121.626044.680505e-08
0.4083961.6256954.530755e-08
0.410491.6253554.380236e-08
0.4125951.6250184.228945e-08
0.4147111.6246854.076879e-08
0.4168381.6243563.924033e-08
0.4189761.6240313.770403e-08
0.421.6238773.696800e-08
0.4211251.6237093.666926e-08
0.4232841.6233913.609553e-08
0.4254551.6230773.551885e-08
0.4276371.6227663.493921e-08
0.429831.6224593.435661e-08
0.4320351.6221553.377101e-08
0.434251.6218553.318241e-08
0.4364771.6215583.259079e-08
0.4387161.6212643.199614e-08
0.441.6210983.165500e-08
0.4409661.6209743.154620e-08
0.4432271.6206873.129145e-08
0.44551.6204033.103538e-08
0.4477851.6201223.077800e-08
0.4500821.6198443.051931e-08
0.452391.619573.025928e-08
0.454711.6192982.999792e-08
0.4570421.619032.973522e-08
0.4593861.6187642.947118e-08
0.461.6186952.940200e-08
0.4617421.6185012.917817e-08
0.464111.6182422.887388e-08
0.466491.6179852.856802e-08
0.4688831.617732.826060e-08
0.4712871.6174792.795160e-08
0.4737041.617232.764101e-08
0.4761341.6169842.732884e-08
0.4785751.6167412.701506e-08
0.481.6166012.683200e-08
0.481031.61652.668335e-08
0.4834971.6162622.632724e-08
0.4859761.6160262.596931e-08
0.4884691.6157932.560954e-08
0.4909741.6155622.524792e-08
0.4934921.6153342.488445e-08
0.4960231.6151082.451912e-08
0.4985671.6148852.415192e-08
0.51.6147612.394500e-08
0.5011231.6146642.380113e-08
0.5036931.6144452.347201e-08
0.5062771.6142292.314121e-08
0.5088731.6140152.280870e-08
0.5114831.6138032.247450e-08
0.5141061.6135932.213858e-08
0.5167431.6133862.180094e-08
0.5193931.613182.146156e-08
0.5220561.6129772.112045e-08
0.5247341.6127762.077758e-08
0.5274251.6125772.043296e-08
0.530131.612382.008657e-08
0.5328491.6121841.973840e-08
0.5355811.6119911.938845e-08
0.5383281.61181.903670e-08
0.5410891.6116111.868315e-08
0.5438641.6114241.832779e-08
0.5466531.6112381.797060e-08
0.5494571.6110551.761158e-08
0.551.611021.754200e-08
0.5522751.6108731.783273e-08
0.5551071.6106931.819476e-08
0.5579541.6105151.855865e-08
0.5608151.6103391.892441e-08
0.5636911.6101641.929204e-08
0.5665821.6099911.966155e-08
0.5694881.609822.003296e-08
0.5724091.6096512.040627e-08
0.5753441.6094832.078150e-08
0.5782951.6093172.115866e-08
0.5812611.6091522.153775e-08
0.5842421.6089892.191878e-08
0.5872381.6088272.230176e-08
0.590251.6086672.268671e-08
0.5932771.6085092.307364e-08
0.5963191.6083522.346255e-08
0.5993781.6081972.385345e-08
0.61.6081652.393300e-08
0.6024521.6080432.403082e-08
0.6055411.607892.415410e-08
0.6086471.6077392.427801e-08
0.6117681.607592.440255e-08
0.6149061.6074412.452774e-08
0.6180591.6072942.465356e-08
0.6212291.6071492.478004e-08
0.6244151.6070042.490716e-08
0.6276171.6068622.503493e-08
0.6308361.606722.516336e-08
0.6340711.606582.529244e-08
0.6373231.6064412.542219e-08
0.6405921.6063032.555261e-08
0.6438771.6061662.568369e-08
0.6471791.6060312.581544e-08
0.651.6059162.592800e-08
0.6504981.6058962.594787e-08
0.6538341.6057632.608091e-08
0.6571871.6056322.621463e-08
0.6605581.6055012.634905e-08
0.6639451.6053712.648415e-08
0.6673511.6052432.661994e-08
0.6707731.6051152.675643e-08
0.6742131.6049892.689362e-08
0.6776711.6048642.703151e-08
0.6811461.604742.717011e-08
0.684641.6046172.730943e-08
0.6881511.6044942.744945e-08
0.691681.6043732.759020e-08
0.6952271.6042532.773166e-08
0.6987931.6041342.787385e-08
0.71.6040942.792200e-08
0.7023761.6040162.786482e-08
0.7059791.6038992.777815e-08
0.7095991.6037822.769104e-08
0.7132381.6036672.760348e-08
0.7168961.6035522.751548e-08
0.7205731.6034392.742702e-08
0.7242681.6033262.733810e-08
0.7279831.6032142.724873e-08
0.7317161.6031032.715891e-08
0.7354691.6029932.706862e-08
0.7392411.6028842.697787e-08
0.7430321.6027752.688665e-08
0.7468431.6026682.679497e-08
0.7506731.6025612.670281e-08
0.7545231.6024552.661019e-08
0.7583921.6023492.651708e-08
0.7622821.6022452.642350e-08
0.7661911.6021412.632944e-08
0.770121.6020382.623490e-08
0.774071.6019352.613988e-08
0.778041.6018332.604436e-08
0.782031.6017322.594836e-08
0.7860411.6016322.585186e-08
0.7900721.6015322.575487e-08
0.7941241.6014332.565738e-08
0.7981961.6013352.555939e-08
0.81.6012922.551600e-08
0.802291.6012372.652357e-08
0.8064051.601142.833389e-08
0.810541.6010433.015350e-08
0.8146971.6009473.198244e-08
0.8188751.6008523.382076e-08
0.8230751.6007573.566851e-08
0.8272961.6006633.752573e-08
0.8315391.600573.939248e-08
0.8358031.6004764.126880e-08
0.840091.6003844.315474e-08
0.8443981.6002924.505036e-08
0.8487291.60024.695569e-08
0.851.6001744.751500e-08
0.8530821.6001094.679917e-08
0.8574571.6000194.578284e-08
0.8618541.5999294.476131e-08
0.8662741.5998394.373454e-08
0.8707171.599754.270250e-08
0.8751821.5996614.166516e-08
0.8796711.5995734.062251e-08
0.8841821.5994853.957451e-08
0.8887171.5993983.852114e-08
0.8932741.5993113.746236e-08
0.8978561.5992243.639816e-08
0.91.5991843.590000e-08
0.902461.5991383.599811e-08
0.9070881.5990523.618269e-08
0.9117411.5989673.636821e-08
0.9164161.5988823.655469e-08
0.9211161.5987973.674212e-08
0.925841.5987133.693051e-08
0.9305881.5986293.711986e-08
0.9353611.5985453.731019e-08
0.9401581.5984623.750150e-08
0.944981.5983793.769378e-08
0.9498261.5982963.788706e-08
0.951.5982933.789400e-08
0.9546971.5982133.658022e-08
0.9595931.5981313.521076e-08
0.9645151.5980493.383428e-08
0.9694611.5979683.245074e-08
0.9744331.5978863.106010e-08
0.979431.5978052.966232e-08
0.9844531.5977242.825738e-08
0.9895021.5976432.684524e-08
0.9945771.5975632.542585e-08
0.9996781.5974822.399919e-08
11.5974772.390900e-08
1.00481.5974022.334672e-08
1.009961.5973222.274363e-08
1.015141.5972422.213745e-08
1.020341.5971632.152816e-08
1.025581.5970832.091574e-08
1.030841.5970042.030018e-08
1.036121.5969251.968146e-08
1.041441.5968461.905958e-08
1.046781.5967671.843450e-08
1.052151.5966881.780622e-08
1.057541.596611.717471e-08
1.061.5965741.688700e-08
1.062971.5965311.693425e-08
1.068421.5964521.702113e-08
1.07391.5963741.710844e-08
1.07941.5962961.719621e-08
1.084941.5962171.728443e-08
1.09051.5961391.737309e-08
1.09611.5960611.746222e-08
1.101721.5959831.755180e-08
1.107371.5959051.764184e-08
1.113051.5958271.773234e-08
1.118761.5957481.782330e-08
1.124491.595671.791474e-08
1.130261.5955921.800664e-08
1.136061.5955141.809901e-08
1.141881.5954361.819185e-08
1.147741.5953581.828518e-08
1.153621.595281.837898e-08
1.159541.5952011.847326e-08
1.165491.5951231.856802e-08
1.171471.5950441.866328e-08
1.177471.5949661.875902e-08
1.183511.5948871.885525e-08
1.189581.5948091.895197e-08
1.195681.594731.904919e-08
1.21.5946741.911800e-08
1.201811.5946511.914690e-08
1.207981.5945721.924509e-08
1.214171.5944931.934377e-08
1.22041.5944131.944297e-08
1.226661.5943341.954267e-08
1.232951.5942541.964289e-08
1.239271.5941751.974361e-08
1.245631.5940951.984486e-08
1.252021.5940141.994662e-08
1.258441.5939342.004891e-08
1.264891.5938542.015172e-08
1.271381.5937732.025506e-08
1.27791.5936922.035893e-08
1.284451.5936112.046333e-08
1.291041.5935292.056826e-08
1.297661.5934472.067374e-08
1.304321.5933652.077975e-08
1.311011.5932832.088631e-08
1.317731.5932012.099342e-08
1.324491.5931182.110107e-08
1.331281.5930352.120928e-08
1.338111.5929512.131804e-08
1.344971.5928682.142736e-08
1.351871.5927842.153724e-08
1.35881.5926992.164769e-08
1.365771.5926142.175870e-08
1.372771.5925292.187028e-08
1.379811.5924442.198243e-08
1.386891.5923582.209515e-08
1.3941.5922722.220846e-08
1.41.5921992.230400e-08
1.401151.5921852.246943e-08
1.408341.5920982.350160e-08
1.415561.5920112.453906e-08
1.422821.5919232.558185e-08
1.430121.5918342.662999e-08
1.437451.5917462.768349e-08
1.444821.5916572.874241e-08
1.452231.5915672.980675e-08
1.459681.5914773.087655e-08
1.467171.5913863.195184e-08
1.474691.5912953.303264e-08
1.482251.5912033.411899e-08
1.489861.5911113.521091e-08
1.49751.5910183.630842e-08
1.505181.5909253.741157e-08
1.51291.5908313.852037e-08
1.520651.5907373.963486e-08
1.528451.5906424.075507e-08
1.536291.5905464.188102e-08
1.544171.590454.301274e-08
1.552091.5903534.415027e-08
1.560051.5902564.529364e-08
1.568051.5901584.644286e-08
1.576091.5900594.759798e-08
1.584181.589964.875903e-08
1.59231.589864.992603e-08
1.61.5897655.103200e-08
1.600471.5897595.145189e-08
1.608671.5896585.883943e-08
1.616921.5895566.626486e-08
1.625221.5894537.372837e-08
1.633551.589358.123016e-08
1.641931.5892468.877042e-08
1.650351.5891419.634936e-08
1.658811.5890351.039672e-07
1.667321.5889281.116240e-07
1.675871.5888211.193202e-07
1.684471.5887131.270558e-07
1.693111.5886041.348311e-07
1.701791.5884941.426462e-07
1.710521.5883831.505014e-07
1.719291.5882721.583970e-07
1.728111.5881591.663330e-07
1.736971.5880461.743097e-07
1.745881.5879321.823273e-07
1.754831.5878171.903861e-07
1.763831.5877011.984861e-07
1.772881.5875842.066277e-07
1.781971.5874662.148111e-07
1.791111.5873472.230364e-07
1.81.5872312.310400e-07
1.800291.5872272.314843e-07
1.809531.5871062.454735e-07
1.818811.5869842.595343e-07
1.828131.5868612.736673e-07
1.837511.5867372.878728e-07
1.846931.5866123.021511e-07
1.856411.5864863.165026e-07
1.865931.5863583.309278e-07
1.87551.586233.454269e-07
1.885111.58613.600004e-07
1.894781.5859693.746486e-07
1.90451.5858383.893719e-07
1.914271.5857054.041708e-07
1.924081.585574.190455e-07
1.933951.5854354.339966e-07
1.943871.5852984.490243e-07
1.953841.585164.641291e-07
1.963861.5850214.793113e-07
1.973931.584884.945714e-07
1.984051.5847385.099098e-07
1.994231.5845955.253268e-07
21.5845145.340700e-07
2.004461.5844515.606808e-07
2.014741.5843056.220584e-07
2.025071.5841576.837508e-07
2.035461.5840097.457596e-07
2.045891.5838598.080864e-07
2.056391.5837078.707328e-07
2.066931.5835549.337006e-07
2.077531.5833999.969912e-07
2.088191.5832431.060606e-06
2.09891.5830861.124548e-06
2.109661.5829271.188817e-06
2.120481.5827661.253416e-06
2.131361.5826041.318347e-06
2.142291.582441.383610e-06
2.153271.5822741.449208e-06
2.164321.5821071.515142e-06
2.175421.5819381.581415e-06
2.186571.5817671.648028e-06
2.197791.5815951.714982e-06
2.21.5815611.728200e-06
2.209061.5814211.813182e-06
2.220391.5812451.919478e-06
2.231771.5810672.026319e-06
2.243221.5808872.133708e-06
2.254721.5807062.241648e-06
2.266291.5805232.350142e-06
2.277911.5803382.459192e-06
2.289591.580152.568801e-06
2.301331.5799612.678972e-06
2.313141.579772.789708e-06
2.3251.5795772.901012e-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
—