Optical constants

Refractive index of H-ZPK7 (CDGM)

H-ZPK7: 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
1.56907
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.46198
Permittivity ε2
5.88132e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
71.304
Chromatic dispersion dn/dλ
-0.0411887 µm⁻¹
Group index ng
1.59327
Group velocity dispersion
73.2209 fs²/mm
Dispersion parameter D
-399.459 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-ZPK7 (CDGM): H-ZPK7
cdgm_h_zpk7 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZPK7", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zpk7.range_nm)  # (302, 2325) nm
eps = cdgm_h_zpk7.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=0.725400532λ2λ2−0.00296983783+0.703767661λ2λ2−0.013434264+0.77228314λ2λ2−135.211711

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.725400532
C30.00296983783
C40.703767661
C50.013434264
C60.77228314
C7135.211711

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.47e-05 -2.21e-09 5.2e-12 4.58e-07 5.69e-10 0.082
nd
1.569070
Vd
71.304254
glass code
569713
density
value: 4360
thermal expansion
value: 1.34e-05, temperature range: 243 343; value: 1.59e-05, temperature range: 293 573
dPgF
0.02
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.09e-05 K⁻¹ at 633 nm, dn/dT = -1.12e-05 K⁻¹ at 1310 nm, dn/dT = -1.12e-05 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-ZPK7 (CDGM), H-ZPK7: n and k versus wavelength
λ (µm)nk
0.3021.6045672.224820e-06
0.3035491.6040342.104570e-06
0.3051061.6035071.983704e-06
0.306671.6029881.862218e-06
0.3082431.6024751.740108e-06
0.3098241.6019681.617373e-06
0.311.6019121.603700e-06
0.3114131.6014681.499837e-06
0.313011.6009741.382429e-06
0.3146151.6004871.264418e-06
0.3162291.6000051.145803e-06
0.317851.599531.026579e-06
0.3194811.5990619.067439e-07
0.321.5989138.685600e-07
0.3211191.5985978.247078e-07
0.3227661.5981397.601721e-07
0.3244211.5976876.953055e-07
0.3260851.5972416.301062e-07
0.3277571.59685.645725e-07
0.3294381.5963644.987027e-07
0.331.596224.766900e-07
0.3311281.5959344.507034e-07
0.3328261.5955094.115736e-07
0.3345331.595093.722431e-07
0.3362491.5946753.327110e-07
0.3379731.5942652.929761e-07
0.3397061.5938612.530374e-07
0.341.5937932.462700e-07
0.3414481.5934612.295964e-07
0.34321.5930672.094392e-07
0.344961.5926771.891787e-07
0.3467291.5922911.688142e-07
0.3485071.5919111.483453e-07
0.351.5915961.311600e-07
0.3502941.5915351.292612e-07
0.3520911.5911631.176739e-07
0.3538971.5907961.060271e-07
0.3557121.5904339.432058e-08
0.3575361.5900758.255403e-08
0.3593691.5897217.072713e-08
0.361.58966.666000e-08
0.3612121.5893716.324908e-08
0.3630651.5890255.803768e-08
0.3649271.5886835.279954e-08
0.3667981.5883454.753454e-08
0.368681.5880124.224254e-08
0.371.5877813.852800e-08
0.370571.5876823.736842e-08
0.3724711.5873563.350475e-08
0.3743811.5870342.962127e-08
0.3763011.5867152.571787e-08
0.3782311.5864012.179445e-08
0.381.5861171.819800e-08
0.3801711.586091.809968e-08
0.382121.5857821.697684e-08
0.384081.5854781.584824e-08
0.386051.5851781.471386e-08
0.388031.5848811.357365e-08
0.391.5845911.243900e-08
0.390021.5845881.243963e-08
0.392021.5842981.250344e-08
0.394031.5840111.256757e-08
0.3960511.5837271.263204e-08
0.3980821.5834471.269683e-08
0.41.5831871.275800e-08
0.4001241.583171.276196e-08
0.4021761.5828961.282742e-08
0.4042391.5826251.289321e-08
0.4063121.5823581.295935e-08
0.4083961.5820931.302582e-08
0.410491.5818311.309263e-08
0.4125951.5815721.315979e-08
0.4147111.5813171.322729e-08
0.4168381.5810641.329513e-08
0.4189761.5808141.336333e-08
0.421.5806951.339600e-08
0.4211251.5805661.343187e-08
0.4232841.5803221.350077e-08
0.4254551.580081.357002e-08
0.4276371.5798411.363962e-08
0.429831.5796041.370958e-08
0.4320351.579371.377990e-08
0.434251.5791391.385058e-08
0.4364771.578911.392163e-08
0.4387161.5786841.399304e-08
0.441.5785561.403400e-08
0.4409661.578461.406481e-08
0.4432271.5782391.413695e-08
0.44551.578021.420946e-08
0.4477851.5778041.428235e-08
0.4500821.577591.435560e-08
0.452391.5773781.442924e-08
0.454711.5771691.450325e-08
0.4570421.5769621.457764e-08
0.4593861.5767571.465241e-08
0.461.5767041.467200e-08
0.4617421.5765541.472757e-08
0.464111.5763541.480311e-08
0.466491.5761551.487903e-08
0.4688831.5759591.495535e-08
0.4712871.5757651.503206e-08
0.4737041.5755731.510916e-08
0.4761341.5753831.518666e-08
0.4785751.5751951.526456e-08
0.481.5750871.531000e-08
0.481031.5750091.534280e-08
0.4834971.5748251.542137e-08
0.4859761.5746431.550035e-08
0.4884691.5744631.557973e-08
0.4909741.5742851.565952e-08
0.4934921.5741091.573971e-08
0.4960231.5739351.582032e-08
0.4985671.5737621.590135e-08
0.51.5736661.594700e-08
0.5011231.5735911.598284e-08
0.5036931.5734221.606482e-08
0.5062771.5732551.614723e-08
0.5088731.573091.623005e-08
0.5114831.5729261.631330e-08
0.5141061.5727641.639698e-08
0.5167431.5726041.648109e-08
0.5193931.5724451.656563e-08
0.5220561.5722881.665060e-08
0.5247341.5721321.673601e-08
0.5274251.5719791.682186e-08
0.530131.5718261.690814e-08
0.5328491.5716761.699487e-08
0.5355811.5715261.708205e-08
0.5383281.5713791.716967e-08
0.5410891.5712331.725774e-08
0.5438641.5710881.734626e-08
0.5466531.5709451.743524e-08
0.5494571.5708031.752467e-08
0.551.5707761.754200e-08
0.5522751.5706631.761456e-08
0.5551071.5705241.770491e-08
0.5579541.5703861.779573e-08
0.5608151.570251.788701e-08
0.5636911.5701151.797876e-08
0.5665821.5699821.807098e-08
0.5694881.569851.816367e-08
0.5724091.5697191.825684e-08
0.5753441.5695891.835048e-08
0.5782951.5694611.844461e-08
0.5812611.5693341.853922e-08
0.5842421.5692081.863431e-08
0.5872381.5690831.872989e-08
0.590251.568961.882596e-08
0.5932771.5688381.892253e-08
0.5963191.5687171.901959e-08
0.5993781.5685971.911715e-08
0.61.5685731.913700e-08
0.6024521.5684791.921520e-08
0.6055411.5683611.931377e-08
0.6086471.5682451.941283e-08
0.6117681.5681291.951241e-08
0.6149061.5680151.961249e-08
0.6180591.5679021.971309e-08
0.6212291.567791.981420e-08
0.6244151.5676791.991584e-08
0.6276171.5675692.001799e-08
0.6308361.567462.012067e-08
0.6340711.5673522.022387e-08
0.6373231.5672452.032761e-08
0.6405921.5671392.043187e-08
0.6438771.5670342.053667e-08
0.6471791.566932.064201e-08
0.651.5668422.073200e-08
0.6504981.5668272.074788e-08
0.6538341.5667252.085423e-08
0.6571871.5666242.096113e-08
0.6605581.5665232.106858e-08
0.6639451.5664242.117658e-08
0.6673511.5663252.128514e-08
0.6707731.5662282.139425e-08
0.6742131.5661312.150391e-08
0.6776711.5660352.161415e-08
0.6811461.565942.172494e-08
0.684641.5658462.183631e-08
0.6881511.5657522.194825e-08
0.691681.565662.206076e-08
0.6952271.5655682.217384e-08
0.6987931.5654772.228751e-08
0.71.5654462.232600e-08
0.7023761.5653862.240181e-08
0.7059791.5652972.251672e-08
0.7095991.5652082.263222e-08
0.7132381.565122.274831e-08
0.7168961.5650332.286499e-08
0.7205731.5649462.298228e-08
0.7242681.564862.310016e-08
0.7279831.5647752.321865e-08
0.7317161.5646912.333775e-08
0.7354691.5646072.345746e-08
0.7392411.5645242.357778e-08
0.7430321.5644412.369872e-08
0.7468431.564362.382028e-08
0.7506731.5642792.394246e-08
0.7545231.5641982.406527e-08
0.7583921.5641182.418871e-08
0.7622821.5640392.431278e-08
0.7661911.563962.443749e-08
0.770121.5638822.456284e-08
0.774071.5638052.468883e-08
0.778041.5637282.481547e-08
0.782031.5636512.494276e-08
0.7860411.5635762.507070e-08
0.7900721.56352.519929e-08
0.7941241.5634262.532855e-08
0.7981961.5633522.545847e-08
0.81.5633192.551600e-08
0.802291.5632782.558905e-08
0.8064051.5632052.572031e-08
0.810541.5631322.585223e-08
0.8146971.563062.598484e-08
0.8188751.5629892.611812e-08
0.8230751.5629182.625209e-08
0.8272961.5628472.638674e-08
0.8315391.5627772.652209e-08
0.8358031.5627072.665813e-08
0.840091.5626382.679487e-08
0.8443981.5625692.693231e-08
0.8487291.5625012.707045e-08
0.851.5624812.711100e-08
0.8530821.5624332.720924e-08
0.8574571.5623662.734871e-08
0.8618541.5622992.748891e-08
0.8662741.5622322.762982e-08
0.8707171.5621662.777145e-08
0.8751821.56212.791381e-08
0.8796711.5620342.805690e-08
0.8841821.5619692.820072e-08
0.8887171.5619052.834528e-08
0.8932741.561842.849059e-08
0.8978561.5617762.863663e-08
0.91.5617472.870500e-08
0.902461.5617132.878348e-08
0.9070881.5616492.893112e-08
0.9117411.5615862.907952e-08
0.9164161.5615242.922868e-08
0.9211161.5614622.937861e-08
0.925841.56142.952930e-08
0.9305881.5613382.968077e-08
0.9353611.5612762.983301e-08
0.9401581.5612152.998604e-08
0.944981.5611553.013985e-08
0.9498261.5610943.029445e-08
0.951.5610923.030000e-08
0.9546971.5610342.969962e-08
0.9595931.5609742.907379e-08
0.9645151.5609142.844475e-08
0.9694611.5608552.781248e-08
0.9744331.5607962.717698e-08
0.979431.5607372.653821e-08
0.9844531.5606782.589617e-08
0.9895021.5606192.525083e-08
0.9945771.5605612.460219e-08
0.9996781.5605032.395021e-08
11.5604992.390900e-08
1.00481.5604452.334672e-08
1.009961.5603872.274363e-08
1.015141.560332.213745e-08
1.020341.5602732.152816e-08
1.025581.5602162.091574e-08
1.030841.5601592.030018e-08
1.036121.5601021.968146e-08
1.041441.5600451.905958e-08
1.046781.5599891.843450e-08
1.052151.5599331.780622e-08
1.057541.5598771.717471e-08
1.061.5598511.688700e-08
1.062971.5598211.693425e-08
1.068421.5597651.702113e-08
1.07391.5597091.710844e-08
1.07941.5596531.719621e-08
1.084941.5595981.728443e-08
1.09051.5595431.737309e-08
1.09611.5594871.746222e-08
1.101721.5594321.755180e-08
1.107371.5593771.764184e-08
1.113051.5593221.773234e-08
1.118761.5592671.782330e-08
1.124491.5592121.791474e-08
1.130261.5591571.800664e-08
1.136061.5591031.809901e-08
1.141881.5590481.819185e-08
1.147741.5589931.828518e-08
1.153621.5589391.837898e-08
1.159541.5588841.847326e-08
1.165491.558831.856802e-08
1.171471.5587751.866328e-08
1.177471.5587211.875902e-08
1.183511.5586661.885525e-08
1.189581.5586121.895197e-08
1.195681.5585571.904919e-08
1.21.5585191.911800e-08
1.201811.5585031.914690e-08
1.207981.5584481.924509e-08
1.214171.5583941.934377e-08
1.22041.5583391.944297e-08
1.226661.5582851.954267e-08
1.232951.558231.964289e-08
1.239271.5581761.974361e-08
1.245631.5581211.984486e-08
1.252021.5580661.994662e-08
1.258441.5580112.004891e-08
1.264891.5579572.015172e-08
1.271381.5579022.025506e-08
1.27791.5578472.035893e-08
1.284451.5577922.046333e-08
1.291041.5577362.056826e-08
1.297661.5576812.067374e-08
1.304321.5576262.077975e-08
1.311011.557572.088631e-08
1.317731.5575152.099342e-08
1.324491.5574592.110107e-08
1.331281.5574032.120928e-08
1.338111.5573472.131804e-08
1.344971.5572912.142736e-08
1.351871.5572352.153724e-08
1.35881.5571782.164769e-08
1.365771.5571212.175870e-08
1.372771.5570652.187028e-08
1.379811.5570082.198243e-08
1.386891.5569512.209515e-08
1.3941.5568932.220846e-08
1.41.5568452.230400e-08
1.401151.5568362.232235e-08
1.408341.5567782.243682e-08
1.415561.556722.255187e-08
1.422821.5566622.266752e-08
1.430121.5566042.278376e-08
1.437451.5565452.290060e-08
1.444821.5564862.301803e-08
1.452231.5564272.313607e-08
1.459681.5563682.325472e-08
1.467171.5563092.337397e-08
1.474691.5562492.349383e-08
1.482251.5561892.361431e-08
1.489861.5561282.373541e-08
1.49751.5560682.385712e-08
1.505181.5560072.397946e-08
1.51291.5559462.410243e-08
1.520651.5558842.422603e-08
1.528451.5558232.435027e-08
1.536291.5557612.447514e-08
1.544171.5556982.460065e-08
1.552091.5556352.472680e-08
1.560051.5555722.485360e-08
1.568051.5555092.498105e-08
1.576091.5554452.510916e-08
1.584181.5553812.523792e-08
1.59231.5553172.536735e-08
1.61.5552552.549000e-08
1.600471.5552522.549743e-08
1.608671.5551862.562823e-08
1.616921.5551212.575969e-08
1.625221.5550552.589183e-08
1.633551.5549882.602465e-08
1.641931.5549222.615815e-08
1.650351.5548542.629233e-08
1.658811.5547872.642720e-08
1.667321.5547192.656277e-08
1.675871.554652.669903e-08
1.684471.5545812.683598e-08
1.693111.5545122.697364e-08
1.701791.5544422.711201e-08
1.710521.5543712.725108e-08
1.719291.5543012.739087e-08
1.728111.5542292.753138e-08
1.736971.5541572.767260e-08
1.745881.5540852.781455e-08
1.754831.5540122.795723e-08
1.763831.5539392.810064e-08
1.772881.5538652.824479e-08
1.781971.553792.838967e-08
1.791111.5537152.853530e-08
1.81.5536422.867700e-08
1.800291.553642.868167e-08
1.809531.5535642.882875e-08
1.818811.5534872.897658e-08
1.828131.553412.912518e-08
1.837511.5533322.927453e-08
1.846931.5532532.942465e-08
1.856411.5531742.957554e-08
1.865931.5530942.972720e-08
1.87551.5530142.987964e-08
1.885111.5529333.003286e-08
1.894781.5528513.018687e-08
1.90451.5527693.034167e-08
1.914271.5526863.049726e-08
1.924081.5526023.065365e-08
1.933951.5525183.081085e-08
1.943871.5524333.096885e-08
1.953841.5523473.112765e-08
1.963861.552263.128728e-08
1.973931.5521733.144772e-08
1.984051.5520853.160898e-08
1.994231.5519963.177108e-08
21.5519463.186300e-08
2.004461.5519073.232512e-08
2.014741.5518163.339099e-08
2.025071.5517253.446232e-08
2.035461.5516333.553916e-08
2.045891.5515413.662151e-08
2.056391.5514473.770941e-08
2.066931.5513533.880290e-08
2.077531.5512573.990199e-08
2.088191.5511614.100672e-08
2.09891.5510644.211711e-08
2.109661.5509674.323320e-08
2.120481.5508684.435501e-08
2.131361.5507684.548258e-08
2.142291.5506684.661593e-08
2.153271.5505664.775509e-08
2.164321.5504644.890009e-08
2.175421.550365.005096e-08
2.186571.5502565.120774e-08
2.197791.550155.237045e-08
2.21.550135.260000e-08
2.209061.5500445.455334e-08
2.220391.5499375.699659e-08
2.231771.5498285.945237e-08
2.243221.5497196.192075e-08
2.254721.5496086.440178e-08
2.266291.5494976.689554e-08
2.277911.5493846.940209e-08
2.289591.549277.192150e-08
2.301331.5491557.445382e-08
2.313141.5490397.699913e-08
2.3251.5489227.955750e-08

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
—