Optical constants

Refractive index of H-ZK2 (CDGM)

H-ZK2: 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
1.58313
Extinction coefficient k
1.98319e-08
Permittivity ε1
2.50629
Permittivity ε2
6.27929e-08
Absorption coefficient α
0.00424123 cm⁻¹
Penetration depth δ = λ/(2πk)
4.71561e+09 nm
Abbe number Vd
59.46
Chromatic dispersion dn/dλ
-0.0506745 µm⁻¹
Group index ng
1.6129
Group velocity dispersion
88.4213 fs²/mm
Dispersion parameter D
-482.385 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-ZK2 (CDGM): H-ZK2
cdgm_h_zk2 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZK2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zk2.range_nm)  # (302, 2325) nm
eps = cdgm_h_zk2.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=0.427442699λ2λ2−0.0191755139+0.907023646λ2λ2−94.6355569+1.04012009λ2λ2−0.00552619449

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.427442699
C30.0191755139
C40.907023646
C594.6355569
C61.04012009
C70.00552619449

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.23e-06 2.61e-08 -7.02e-11 4.76e-07 -6.76e-10 0.184
nd
1.583130
Vd
59.460082
glass code
583595
density
value: 3240
thermal expansion
value: 6.1e-06, temperature range: 243 343; value: 7.8e-06, temperature range: 293 573
dPgF
-0.0016
resistance
climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.67e-06 K⁻¹ at 633 nm, dn/dT = 1.17e-06 K⁻¹ at 1310 nm, dn/dT = 1.13e-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-ZK2 (CDGM), H-ZK2: n and k versus wavelength
λ (µm)nk
0.3021.6271354.643460e-06
0.3035491.626464.319495e-06
0.3051061.6257933.993869e-06
0.306671.6251363.666572e-06
0.3082431.6244883.337597e-06
0.3098241.6238483.006935e-06
0.311.6237782.970100e-06
0.3114131.6232172.792733e-06
0.313011.6225942.592235e-06
0.3146151.621982.390708e-06
0.3162291.6213742.188148e-06
0.317851.6207761.984550e-06
0.3194811.6201861.779907e-06
0.321.621.714700e-06
0.3211191.6196031.627632e-06
0.3227661.6190291.499498e-06
0.3244211.6184611.370707e-06
0.3260851.6179021.241255e-06
0.3277571.6173491.111139e-06
0.3294381.6168049.803558e-07
0.331.6166249.366500e-07
0.3311281.6162658.897157e-07
0.3328261.6157348.190437e-07
0.3345331.6152097.480092e-07
0.3362491.6146926.766104e-07
0.3379731.614186.048455e-07
0.3397061.6136765.327125e-07
0.341.6135915.204900e-07
0.3414481.6131774.862607e-07
0.34321.6126854.448799e-07
0.344961.6121994.032868e-07
0.3467291.611723.614805e-07
0.3485071.6112463.194598e-07
0.351.6108552.841800e-07
0.3502941.6107782.805850e-07
0.3520911.6103162.586463e-07
0.3538971.609862.365950e-07
0.3557121.6094092.144307e-07
0.3575361.6089641.921527e-07
0.3593691.6085251.697604e-07
0.361.6083761.620600e-07
0.3612121.6080911.536527e-07
0.3630651.6076621.408076e-07
0.3649271.6072391.278966e-07
0.3667981.606821.149194e-07
0.368681.6064071.018756e-07
0.371.6061219.272000e-08
0.370571.6059999.109208e-08
0.3724711.6055958.566793e-08
0.3743811.6051978.021596e-08
0.3763011.6048037.473604e-08
0.3782311.6044146.922801e-08
0.381.6040646.417900e-08
0.3801711.604036.388409e-08
0.382121.603656.051615e-08
0.384081.6032755.713095e-08
0.386051.6029045.372838e-08
0.388031.6025385.030837e-08
0.391.602184.690500e-08
0.390021.6021764.688185e-08
0.392021.6018194.454219e-08
0.394031.6014654.219053e-08
0.3960511.6011163.982681e-08
0.3980821.600773.745097e-08
0.41.600453.520800e-08
0.4001241.6004293.517705e-08
0.4021761.6000923.466486e-08
0.4042391.5997593.415004e-08
0.4063121.5994293.363258e-08
0.4083961.5991043.311247e-08
0.410491.5987823.258970e-08
0.4125951.5984633.206424e-08
0.4147111.5981493.153608e-08
0.4168381.5978383.100522e-08
0.4189761.5975313.047164e-08
0.421.5973853.021600e-08
0.4211251.5972273.029691e-08
0.4232841.5969263.045230e-08
0.4254551.5966293.060850e-08
0.4276371.5963363.076549e-08
0.429831.5960453.092328e-08
0.4320351.5957583.108189e-08
0.434251.5954743.124131e-08
0.4364771.5951943.140155e-08
0.4387161.5949163.156260e-08
0.441.5947593.165500e-08
0.4409661.5946423.136811e-08
0.4432271.5943713.069633e-08
0.44551.5941023.002111e-08
0.4477851.5938372.934242e-08
0.4500821.5935742.866026e-08
0.452391.5933152.797459e-08
0.454711.5930582.728541e-08
0.4570421.5928042.659269e-08
0.4593861.5925532.589642e-08
0.461.5924882.571400e-08
0.4617421.5923052.581137e-08
0.464111.5920592.594374e-08
0.466491.5918162.607680e-08
0.4688831.5915762.621053e-08
0.4712871.5913382.634495e-08
0.4737041.5911032.648006e-08
0.4761341.590872.661587e-08
0.4785751.590642.675237e-08
0.481.5905082.683200e-08
0.481031.5904122.647733e-08
0.4834971.5901872.562771e-08
0.4859761.5899642.477373e-08
0.4884691.5897442.391536e-08
0.4909741.5895262.305260e-08
0.4934921.589312.218541e-08
0.4960231.5890962.131378e-08
0.4985671.5888852.043767e-08
0.51.5887671.994400e-08
0.5011231.5886761.998883e-08
0.5036931.5884692.009137e-08
0.5062771.5882642.019444e-08
0.5088731.5880612.029804e-08
0.5114831.5878612.040217e-08
0.5141061.5876622.050683e-08
0.5167431.5874662.061203e-08
0.5193931.5872712.071777e-08
0.5220561.5870792.082405e-08
0.5247341.5868882.093088e-08
0.5274251.58672.103826e-08
0.530131.5865132.114618e-08
0.5328491.5863292.125466e-08
0.5355811.5861462.136370e-08
0.5383281.5859652.147329e-08
0.5410891.5857852.158345e-08
0.5438641.5856082.169417e-08
0.5466531.5854322.180546e-08
0.5494571.5852592.191732e-08
0.551.5852252.193900e-08
0.5522751.5850862.181153e-08
0.5551071.5849162.165281e-08
0.5579541.5847472.149327e-08
0.5608151.584582.133291e-08
0.5636911.5844142.117173e-08
0.5665821.584252.100973e-08
0.5694881.5840882.084689e-08
0.5724091.5839272.068322e-08
0.5753441.5837682.051871e-08
0.5782951.583612.035335e-08
0.5812611.5834542.018715e-08
0.5842421.58332.002009e-08
0.5872381.5831461.985218e-08
0.590251.5829951.968341e-08
0.5932771.5828441.951377e-08
0.5963191.5826951.934326e-08
0.5993781.5825481.917188e-08
0.61.5825181.913700e-08
0.6024521.5824021.921520e-08
0.6055411.5822571.931377e-08
0.6086471.5821131.941283e-08
0.6117681.5819711.951241e-08
0.6149061.581831.961249e-08
0.6180591.5816911.971309e-08
0.6212291.5815521.981420e-08
0.6244151.5814151.991584e-08
0.6276171.5812792.001799e-08
0.6308361.5811452.012067e-08
0.6340711.5810112.022387e-08
0.6373231.5808792.032761e-08
0.6405921.5807482.043187e-08
0.6438771.5806182.053667e-08
0.6471791.5804892.064201e-08
0.651.580382.073200e-08
0.6504981.5803612.069219e-08
0.6538341.5802352.042557e-08
0.6571871.5801092.015758e-08
0.6605581.5799851.988822e-08
0.6639451.5798611.961748e-08
0.6673511.5797391.934534e-08
0.6707731.5796171.907182e-08
0.6742131.5794971.879689e-08
0.6776711.5793781.852055e-08
0.6811461.5792591.824279e-08
0.684641.5791421.796361e-08
0.6881511.5790251.768299e-08
0.691681.578911.740094e-08
0.6952271.5787951.711744e-08
0.6987931.5786821.683249e-08
0.71.5786431.673600e-08
0.7023761.5785691.679282e-08
0.7059791.5784571.687895e-08
0.7095991.5783461.696552e-08
0.7132381.5782351.705253e-08
0.7168961.5781261.713999e-08
0.7205731.5780181.722790e-08
0.7242681.577911.731626e-08
0.7279831.5778031.740507e-08
0.7317161.5776971.749434e-08
0.7354691.5775911.758406e-08
0.7392411.5774871.767425e-08
0.7430321.5773831.776489e-08
0.7468431.577281.785601e-08
0.7506731.5771771.794759e-08
0.7545231.5770761.803964e-08
0.7583921.5769751.813216e-08
0.7622821.5768741.822515e-08
0.7661911.5767751.831863e-08
0.770121.5766761.841258e-08
0.774071.5765781.850701e-08
0.778041.576481.860193e-08
0.782031.5763831.869734e-08
0.7860411.5762871.879323e-08
0.7900721.5761911.888962e-08
0.7941241.5760961.898650e-08
0.7981961.5760011.908388e-08
0.81.575961.912700e-08
0.802291.5759071.887120e-08
0.8064051.5758141.841161e-08
0.810541.5757211.794965e-08
0.8146971.5756291.748533e-08
0.8188751.5755371.701863e-08
0.8230751.5754461.654953e-08
0.8272961.5753551.607803e-08
0.8315391.5752651.560411e-08
0.8358031.5751751.512776e-08
0.840091.5750861.464896e-08
0.8443981.5749971.416771e-08
0.8487291.5749081.368399e-08
0.851.5748831.354200e-08
0.8530821.5748211.359106e-08
0.8574571.5747331.366071e-08
0.8618541.5746461.373072e-08
0.8662741.574561.380108e-08
0.8707171.5744731.387181e-08
0.8751821.5743881.394290e-08
0.8796711.5743021.401436e-08
0.8841821.5742171.408618e-08
0.8887171.5741331.415837e-08
0.8932741.5740481.423093e-08
0.8978561.5739651.430386e-08
0.91.5739261.433800e-08
0.902461.5738811.437722e-08
0.9070881.5737981.445099e-08
0.9117411.5737151.452514e-08
0.9164161.5736321.459968e-08
0.9211161.573551.467459e-08
0.925841.5734681.474989e-08
0.9305881.5733871.482558e-08
0.9353611.5733051.490165e-08
0.9401581.5732241.497812e-08
0.944981.5731431.505497e-08
0.9498261.5730631.513222e-08
0.951.573061.513500e-08
0.9546971.5729821.520978e-08
0.9595931.5729021.528772e-08
0.9645151.5728221.536607e-08
0.9694611.5727431.544482e-08
0.9744331.5726631.552397e-08
0.979431.5725841.560353e-08
0.9844531.5725051.568350e-08
0.9895021.5724261.576387e-08
0.9945771.5723471.584466e-08
0.9996781.5722681.592587e-08
11.5722641.593100e-08
1.00481.572191.600755e-08
1.009961.5721121.608966e-08
1.015141.5720341.617219e-08
1.020341.5719561.625514e-08
1.025581.5718781.633851e-08
1.030841.57181.642232e-08
1.036121.5717221.650655e-08
1.041441.5716451.659122e-08
1.046781.5715671.667632e-08
1.052151.571491.676185e-08
1.057541.5714121.684783e-08
1.061.5713771.688700e-08
1.062971.5713351.693425e-08
1.068421.5712581.702113e-08
1.07391.5711811.710844e-08
1.07941.5711031.719621e-08
1.084941.5710261.728443e-08
1.09051.5709491.737309e-08
1.09611.5708721.746222e-08
1.101721.5707951.755180e-08
1.107371.5707181.764184e-08
1.113051.5706411.773234e-08
1.118761.5705631.782330e-08
1.124491.5704861.791474e-08
1.130261.5704091.800664e-08
1.136061.5703321.809901e-08
1.141881.5702541.819185e-08
1.147741.5701771.828518e-08
1.153621.5700991.837898e-08
1.159541.5700211.847326e-08
1.165491.5699441.856802e-08
1.171471.5698661.866328e-08
1.177471.5697881.875902e-08
1.183511.569711.885525e-08
1.189581.5696321.895197e-08
1.195681.5695531.904919e-08
1.21.5694981.911800e-08
1.201811.5694751.914690e-08
1.207981.5693961.924509e-08
1.214171.5693171.934377e-08
1.22041.5692381.944297e-08
1.226661.5691591.954267e-08
1.232951.569081.964289e-08
1.239271.5691.974361e-08
1.245631.568921.984486e-08
1.252021.568841.994662e-08
1.258441.568762.004891e-08
1.264891.5686792.015172e-08
1.271381.5685982.025506e-08
1.27791.5685172.035893e-08
1.284451.5684362.046333e-08
1.291041.5683552.056826e-08
1.297661.5682732.067374e-08
1.304321.5681912.077975e-08
1.311011.5681082.088631e-08
1.317731.5680252.099342e-08
1.324491.5679422.110107e-08
1.331281.5678592.120928e-08
1.338111.5677752.131804e-08
1.344971.5676912.142736e-08
1.351871.5676062.153724e-08
1.35881.5675212.164769e-08
1.365771.5674362.175870e-08
1.372771.567352.187028e-08
1.379811.5672642.198243e-08
1.386891.5671782.209515e-08
1.3941.5670912.220846e-08
1.41.5670182.230400e-08
1.401151.5670042.232235e-08
1.408341.5669162.243682e-08
1.415561.5668272.255187e-08
1.422821.5667392.266752e-08
1.430121.566652.278376e-08
1.437451.566562.290060e-08
1.444821.566472.301803e-08
1.452231.5663792.313607e-08
1.459681.5662882.325472e-08
1.467171.5661962.337397e-08
1.474691.5661042.349383e-08
1.482251.5660112.361431e-08
1.489861.5659182.373541e-08
1.49751.5658242.385712e-08
1.505181.5657292.397946e-08
1.51291.5656342.410243e-08
1.520651.5655382.422603e-08
1.528451.5654422.435027e-08
1.536291.5653452.447514e-08
1.544171.5652482.460065e-08
1.552091.5651492.472680e-08
1.560051.565052.485360e-08
1.568051.5649512.498105e-08
1.576091.564852.510916e-08
1.584181.564752.523792e-08
1.59231.5646482.536735e-08
1.61.5645512.549000e-08
1.600471.5645452.583392e-08
1.608671.5644423.188487e-08
1.616921.5643383.796685e-08
1.625221.5642344.408003e-08
1.633551.5641285.022455e-08
1.641931.5640225.640059e-08
1.650351.5639156.260830e-08
1.658811.5638076.884785e-08
1.667321.5636987.511940e-08
1.675871.5635898.142311e-08
1.684471.5634798.775915e-08
1.693111.5633679.412768e-08
1.701791.5632551.005289e-07
1.710521.5631421.069629e-07
1.719291.5630281.134299e-07
1.728111.5629131.199301e-07
1.736971.5627981.264636e-07
1.745881.5626811.330307e-07
1.754831.5625631.396314e-07
1.763831.5624451.462659e-07
1.772881.5623251.529345e-07
1.781971.5622041.596373e-07
1.791111.5620821.663745e-07
1.81.5619641.729300e-07
1.800291.561961.733152e-07
1.809531.5618361.854425e-07
1.818811.5617111.976320e-07
1.828131.5615852.098841e-07
1.837511.5614582.221989e-07
1.846931.561332.345770e-07
1.856411.56122.470185e-07
1.865931.561072.595238e-07
1.87551.5609382.720932e-07
1.885111.5608052.847271e-07
1.894781.5606712.974258e-07
1.90451.5605363.101897e-07
1.914271.5603993.230190e-07
1.924081.5602623.359140e-07
1.933951.5601233.488753e-07
1.943871.5599823.619029e-07
1.953841.559843.749974e-07
1.963861.5596973.881591e-07
1.973931.5595534.013883e-07
1.984051.5594074.146853e-07
1.994231.559264.280504e-07
21.5591764.356300e-07
2.004461.5591124.635743e-07
2.014741.5589625.280277e-07
2.025071.558815.928116e-07
2.035461.5586576.579277e-07
2.045891.5585037.233778e-07
2.056391.5583477.891636e-07
2.066931.558198.552868e-07
2.077531.5580319.217490e-07
2.088191.557879.885521e-07
2.09891.5577081.055698e-06
2.109661.5575441.123188e-06
2.120481.5573791.191024e-06
2.131361.5572111.259208e-06
2.142291.5570431.327742e-06
2.153271.5568721.396627e-06
2.164321.55671.465866e-06
2.175421.5565261.535459e-06
2.186571.556351.605410e-06
2.197791.5561721.675719e-06
2.21.5561371.689600e-06
2.209061.5559931.772163e-06
2.220391.5558121.875435e-06
2.231771.5556281.979235e-06
2.243221.5554432.083569e-06
2.254721.5552562.188437e-06
2.266291.5550672.293843e-06
2.277911.5548762.399790e-06
2.289591.5546832.506280e-06
2.301331.5544882.613316e-06
2.313141.5542912.720901e-06
2.3251.5540922.829037e-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
—