Optical constants

Refractive index of H-ZPK1A (CDGM)

H-ZPK1A: 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
1.618
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.61792
Permittivity ε2
3.02933e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
63.393
Chromatic dispersion dn/dλ
-0.0503517 µm⁻¹
Group index ng
1.64758
Group velocity dispersion
88.5412 fs²/mm
Dispersion parameter D
-483.039 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-ZPK1A (CDGM): H-ZPK1A
cdgm_h_zpk1a = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZPK1A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zpk1a.range_nm)  # (302, 2325) nm
eps = cdgm_h_zpk1a.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=0.944049498λ2λ2−109.035762+1.05017122λ2λ2−0.0132903754+0.527568709λ2λ2−0.000741462968

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.944049498
C3109.035762
C41.05017122
C50.0132903754
C60.527568709
C70.000741462968

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.09e-05 1.14e-08 -4.44e-11 4.52e-07 3.49e-10 0.159
nd
1.618000
Vd
63.392702
glass code
618634
glass status
standard
density
value: 3610
thermal expansion
value: 9.9e-06, temperature range: 243 343; value: 1.14e-05, temperature range: 293 573
dPgF
0.0054
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -4.83e-06 K⁻¹ at 633 nm, dn/dT = -5.21e-06 K⁻¹ at 1310 nm, dn/dT = -5.23e-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-ZPK1A (CDGM), H-ZPK1A: n and k versus wavelength
λ (µm)nk
0.3021.6614487.185540e-06
0.3035491.6607916.889361e-06
0.3051061.6601426.591663e-06
0.306671.6595026.292438e-06
0.3082431.6588715.991678e-06
0.3098241.6582475.689376e-06
0.311.6581785.655700e-06
0.3114131.6576315.401390e-06
0.313011.6570245.113914e-06
0.3146151.6564244.824965e-06
0.3162291.6558314.534533e-06
0.317851.6552474.242612e-06
0.3194811.6546693.949194e-06
0.321.6544883.855700e-06
0.3211191.65413.696448e-06
0.3227661.6535373.462083e-06
0.3244211.6529813.226516e-06
0.3260851.6524332.989740e-06
0.3277571.6518912.751751e-06
0.3294381.6513562.512541e-06
0.331.6511792.432600e-06
0.3311281.6508282.321332e-06
0.3328261.6503062.153788e-06
0.3345331.6497911.985385e-06
0.3362491.6492821.816118e-06
0.3379731.648781.645983e-06
0.3397061.6482841.474976e-06
0.341.64821.446000e-06
0.3414481.6477931.355308e-06
0.34321.6473091.245669e-06
0.344961.6468311.135467e-06
0.3467291.6463591.024700e-06
0.3485071.6458929.133647e-07
0.351.6455078.198900e-07
0.3502941.6454318.090639e-07
0.3520911.6449767.429962e-07
0.3538971.6445266.765896e-07
0.3557121.6440826.098425e-07
0.3575361.6436435.427531e-07
0.3593691.6432094.753196e-07
0.361.6430624.521300e-07
0.3612121.6427814.266900e-07
0.3630651.6423573.878212e-07
0.3649271.6419393.487530e-07
0.3667981.6415263.094845e-07
0.368681.6411172.700146e-07
0.371.6408352.423100e-07
0.370571.6407142.360700e-07
0.3724711.6403152.152788e-07
0.3743811.6399211.943810e-07
0.3763011.6395321.733760e-07
0.3782311.6391471.522633e-07
0.381.63881.329100e-07
0.3801711.6387671.319823e-07
0.382121.6383911.213884e-07
0.384081.6380191.107401e-07
0.386051.6376521.000372e-07
0.388031.637298.927942e-08
0.391.6369357.857400e-08
0.390021.6369317.852651e-08
0.392021.6365777.372678e-08
0.394031.6362266.890243e-08
0.3960511.635886.405334e-08
0.3980821.6355385.917938e-08
0.41.635225.457800e-08
0.4001241.6351995.444787e-08
0.4021761.6348655.229456e-08
0.4042391.6345345.013020e-08
0.4063121.6342074.795475e-08
0.4083961.6338844.576814e-08
0.410491.6335654.357032e-08
0.4125951.6332494.136122e-08
0.4147111.6329373.914079e-08
0.4168381.6326283.690898e-08
0.4189761.6323233.466572e-08
0.421.6321783.359100e-08
0.4211251.6320213.368091e-08
0.4232841.6317233.385358e-08
0.4254551.6314283.402714e-08
0.4276371.6311363.420158e-08
0.429831.6308473.437692e-08
0.4320351.6305623.455317e-08
0.434251.630283.473031e-08
0.4364771.6300013.490836e-08
0.4387161.6297253.508733e-08
0.441.6295693.519000e-08
0.4409661.6294533.473241e-08
0.4432271.6291833.366091e-08
0.44551.6289163.258392e-08
0.4477851.6286523.150140e-08
0.4500821.6283913.041333e-08
0.452391.6281332.931968e-08
0.454711.6278782.822042e-08
0.4570421.6276252.711553e-08
0.4593861.6273752.600496e-08
0.461.6273112.571400e-08
0.4617421.6271282.547650e-08
0.464111.6268842.515361e-08
0.466491.6266422.482907e-08
0.4688831.6264032.450287e-08
0.4712871.6261672.417499e-08
0.4737041.6259332.384544e-08
0.4761341.6257012.351419e-08
0.4785751.6254722.318124e-08
0.481.625342.298700e-08
0.481031.6252452.283031e-08
0.4834971.6250212.245496e-08
0.4859761.6247992.207769e-08
0.4884691.624582.169848e-08
0.4909741.6243632.131733e-08
0.4934921.6241482.093422e-08
0.4960231.6239352.054914e-08
0.4985671.6237252.016210e-08
0.51.6236081.994400e-08
0.5011231.6235171.969275e-08
0.5036931.6233111.911801e-08
0.5062771.6231071.854032e-08
0.5088731.6229051.795966e-08
0.5114831.6227061.737603e-08
0.5141061.6225081.678941e-08
0.5167431.6223131.619977e-08
0.5193931.6221191.560711e-08
0.5220561.6219281.501142e-08
0.5247341.6217381.441267e-08
0.5274251.6215511.381084e-08
0.530131.6213651.320593e-08
0.5328491.6211811.259792e-08
0.5355811.6209991.198679e-08
0.5383281.6208191.137253e-08
0.5410891.6206411.075511e-08
0.5438641.6204641.013453e-08
0.5466531.6202899.510771e-09
0.5494571.6201168.883809e-09
0.551.6200838.762300e-09
0.5522751.6199458.798538e-09
0.5551071.6197768.843663e-09
0.5579541.6196088.889020e-09
0.5608151.6194418.934609e-09
0.5636911.6192778.980431e-09
0.5665821.6191149.026489e-09
0.5694881.6189529.072783e-09
0.5724091.6187939.119315e-09
0.5753441.6186349.166085e-09
0.5782951.6184789.213095e-09
0.5812611.6183229.260346e-09
0.5842421.6181699.307839e-09
0.5872381.6180169.355576e-09
0.590251.6178669.403558e-09
0.5932771.6177169.451786e-09
0.5963191.6175689.500261e-09
0.5993781.6174229.548985e-09
0.61.6173929.558900e-09
0.6024521.6172779.597934e-09
0.6055411.6171339.647128e-09
0.6086471.616999.696574e-09
0.6117681.6168499.746274e-09
0.6149061.6167099.796228e-09
0.6180591.6165719.846439e-09
0.6212291.6164349.896908e-09
0.6244151.6162989.947635e-09
0.6276171.6161639.998622e-09
0.6308361.6160291.004987e-08
0.6340711.6158971.010138e-08
0.6373231.6157661.015316e-08
0.6405921.6156361.020520e-08
0.6438771.6155071.025751e-08
0.6471791.6153791.031008e-08
0.651.6152721.035500e-08
0.6504981.6152531.036294e-08
0.6538341.6151271.041612e-08
0.6571871.6150031.046957e-08
0.6605581.614881.052329e-08
0.6639451.6147581.057729e-08
0.6673511.6146371.063157e-08
0.6707731.6145161.068612e-08
0.6742131.6143971.074096e-08
0.6776711.6142791.079607e-08
0.6811461.6141621.085147e-08
0.684641.6140461.090715e-08
0.6881511.6139311.096312e-08
0.691681.6138171.101938e-08
0.6952271.6137041.107592e-08
0.6987931.6135921.113276e-08
0.71.6135541.115200e-08
0.7023761.613481.118986e-08
0.7059791.613371.124724e-08
0.7095991.613261.130492e-08
0.7132381.6131511.136289e-08
0.7168961.6130441.142116e-08
0.7205731.6129371.147973e-08
0.7242681.612831.153860e-08
0.7279831.6127251.159777e-08
0.7317161.612621.165724e-08
0.7354691.6125171.171702e-08
0.7392411.6124141.177711e-08
0.7430321.6123121.183750e-08
0.7468431.612211.189820e-08
0.7506731.612111.195922e-08
0.7545231.612011.202055e-08
0.7583921.611911.208219e-08
0.7622821.6118121.214415e-08
0.7661911.6117141.220642e-08
0.770121.6116171.226902e-08
0.774071.6115211.233194e-08
0.778041.6114251.239517e-08
0.782031.611331.245874e-08
0.7860411.6112361.252263e-08
0.7900721.6111421.258685e-08
0.7941241.6110491.265139e-08
0.7981961.6109561.271627e-08
0.81.6109151.274500e-08
0.802291.6108641.278150e-08
0.8064051.6107731.284709e-08
0.810541.6106821.291301e-08
0.8146971.6105921.297927e-08
0.8188751.6105021.304587e-08
0.8230751.6104131.311281e-08
0.8272961.6103251.318010e-08
0.8315391.6102371.324773e-08
0.8358031.6101491.331571e-08
0.840091.6100621.338403e-08
0.8443981.6099761.345271e-08
0.8487291.609891.352174e-08
0.851.6098651.354200e-08
0.8530821.6098041.359106e-08
0.8574571.6097191.366071e-08
0.8618541.6096351.373072e-08
0.8662741.6095511.380108e-08
0.8707171.6094671.387181e-08
0.8751821.6093841.394290e-08
0.8796711.6093011.401436e-08
0.8841821.6092191.408618e-08
0.8887171.6091371.415837e-08
0.8932741.6090551.423093e-08
0.8978561.6089741.430386e-08
0.91.6089361.433800e-08
0.902461.6088931.437722e-08
0.9070881.6088131.445099e-08
0.9117411.6087331.452514e-08
0.9164161.6086531.459968e-08
0.9211161.6085741.467459e-08
0.925841.6084951.474989e-08
0.9305881.6084161.482558e-08
0.9353611.6083381.490165e-08
0.9401581.608261.497812e-08
0.944981.6081821.505497e-08
0.9498261.6081041.513222e-08
0.951.6081021.513500e-08
0.9546971.6080271.520978e-08
0.9595931.607951.528772e-08
0.9645151.6078741.536607e-08
0.9694611.6077971.544482e-08
0.9744331.6077211.552397e-08
0.979431.6076451.560353e-08
0.9844531.6075691.568350e-08
0.9895021.6074941.576387e-08
0.9945771.6074191.584466e-08
0.9996781.6073441.592587e-08
11.6073391.593100e-08
1.00481.6072691.600755e-08
1.009961.6071941.608966e-08
1.015141.607121.617219e-08
1.020341.6070451.625514e-08
1.025581.6069711.633851e-08
1.030841.6068971.642232e-08
1.036121.6068231.650655e-08
1.041441.606751.659122e-08
1.046781.6066761.667632e-08
1.052151.6066031.676185e-08
1.057541.6065291.684783e-08
1.061.6064961.688700e-08
1.062971.6064561.693425e-08
1.068421.6063831.702113e-08
1.07391.606311.710844e-08
1.07941.6062371.719621e-08
1.084941.6061641.728443e-08
1.09051.6060911.737309e-08
1.09611.6060181.746222e-08
1.101721.6059461.755180e-08
1.107371.6058731.764184e-08
1.113051.60581.773234e-08
1.118761.6057281.782330e-08
1.124491.6056551.791474e-08
1.130261.6055821.800664e-08
1.136061.605511.809901e-08
1.141881.6054371.819185e-08
1.147741.6053651.828518e-08
1.153621.6052921.837898e-08
1.159541.6052191.847326e-08
1.165491.6051471.856802e-08
1.171471.6050741.866328e-08
1.177471.6050011.875902e-08
1.183511.6049281.885525e-08
1.189581.6048551.895197e-08
1.195681.6047821.904919e-08
1.21.604731.911800e-08
1.201811.6047091.914690e-08
1.207981.6046361.924509e-08
1.214171.6045621.934377e-08
1.22041.6044891.944297e-08
1.226661.6044151.954267e-08
1.232951.6043421.964289e-08
1.239271.6042681.974361e-08
1.245631.6041941.984486e-08
1.252021.604121.994662e-08
1.258441.6040452.004891e-08
1.264891.6039712.015172e-08
1.271381.6038962.025506e-08
1.27791.6038212.035893e-08
1.284451.6037462.046333e-08
1.291041.6036712.056826e-08
1.297661.6035952.067374e-08
1.304321.603522.077975e-08
1.311011.6034442.088631e-08
1.317731.6033682.099342e-08
1.324491.6032912.110107e-08
1.331281.6032152.120928e-08
1.338111.6031382.131804e-08
1.344971.603062.142736e-08
1.351871.6029832.153724e-08
1.35881.6029052.164769e-08
1.365771.6028272.175870e-08
1.372771.6027492.187028e-08
1.379811.602672.198243e-08
1.386891.6025912.209515e-08
1.3941.6025112.220846e-08
1.41.6024452.230400e-08
1.401151.6024322.261679e-08
1.408341.6023522.456846e-08
1.415561.6022712.653014e-08
1.422821.602192.850189e-08
1.430121.6021093.048374e-08
1.437451.6020283.247575e-08
1.444821.6019463.447799e-08
1.452231.6018633.649049e-08
1.459681.601783.851331e-08
1.467171.6016974.054651e-08
1.474691.6016134.259013e-08
1.482251.6015294.464423e-08
1.489861.6014444.670887e-08
1.49751.6013594.878410e-08
1.505181.6012745.086997e-08
1.51291.6011885.296654e-08
1.520651.6011015.507386e-08
1.528451.6010145.719199e-08
1.536291.6009275.932098e-08
1.544171.6008386.146089e-08
1.552091.600756.361177e-08
1.560051.6006616.577368e-08
1.568051.6005716.794668e-08
1.576091.600487.013083e-08
1.584181.6003897.232618e-08
1.59231.6002987.453278e-08
1.61.6002117.662400e-08
1.600471.6002067.705216e-08
1.608671.6001138.458532e-08
1.616921.600029.215710e-08
1.625221.5999269.976772e-08
1.633551.5998311.074174e-07
1.641931.5997361.151063e-07
1.650351.599641.228346e-07
1.658811.5995431.306025e-07
1.667321.5994461.384103e-07
1.675871.5993481.462581e-07
1.684471.5992491.541462e-07
1.693111.5991491.620748e-07
1.701791.5990491.700439e-07
1.710521.5989481.780540e-07
1.719291.5988461.861052e-07
1.728111.5987441.941976e-07
1.736971.598642.023315e-07
1.745881.5985362.105072e-07
1.754831.5984312.187248e-07
1.763831.5983252.269845e-07
1.772881.5982192.352866e-07
1.781971.5981112.436312e-07
1.791111.5980032.520187e-07
1.81.5978972.601800e-07
1.800291.5978932.606058e-07
1.809531.5977832.740100e-07
1.818811.5976722.874830e-07
1.828131.597563.010250e-07
1.837511.5974473.146365e-07
1.846931.5973333.283179e-07
1.856411.5972193.420693e-07
1.865931.5971033.558914e-07
1.87551.5969863.697843e-07
1.885111.5968683.837484e-07
1.894781.5967493.977842e-07
1.90451.5966294.118919e-07
1.914271.5965084.260720e-07
1.924081.5963864.403248e-07
1.933951.5962634.546507e-07
1.943871.5961394.690501e-07
1.953841.5960144.835234e-07
1.963861.5958874.980708e-07
1.973931.595765.126929e-07
1.984051.5956315.273900e-07
1.994231.5955015.421624e-07
21.5954275.505400e-07
2.004461.595375.657462e-07
2.014741.5952376.008191e-07
2.025071.5951046.360719e-07
2.035461.5949696.715055e-07
2.045891.5948337.071208e-07
2.056391.5946957.429188e-07
2.066931.5945577.789003e-07
2.077531.5944178.150664e-07
2.088191.5942758.514180e-07
2.09891.5941328.879560e-07
2.109661.5939889.246813e-07
2.120481.5938439.615951e-07
2.131361.5936969.986981e-07
2.142291.5935471.035991e-06
2.153271.5933981.073476e-06
2.164321.5932461.111153e-06
2.175421.5930941.149023e-06
2.186571.5929391.187087e-06
2.197791.5927831.225347e-06
2.21.5927521.232900e-06
2.209061.5926261.267232e-06
2.220391.5924671.310176e-06
2.231771.5923061.353339e-06
2.243221.5921441.396724e-06
2.254721.591981.440331e-06
2.266291.5918151.484162e-06
2.277911.5916471.528218e-06
2.289591.5914781.572500e-06
2.301331.5913081.617009e-06
2.313141.5911351.661746e-06
2.3251.5909611.706713e-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
—