Optical constants

Refractive index of H-ZPK3 (CDGM)

H-ZPK3: 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. Note: k data cover 310-2400 nm only; k = 0 elsewhere in the n range 302-2325 nm.

At one wavelength

Range 0.302–2.325 µm
Refractive index n
1.59349
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.5392
Permittivity ε2
4.47727e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
67.285
Chromatic dispersion dn/dλ
-0.0457165 µm⁻¹
Group index ng
1.62035
Group velocity dispersion
78.0203 fs²/mm
Dispersion parameter D
-425.642 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-ZPK3 (CDGM): H-ZPK3
cdgm_h_zpk3 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZPK3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zpk3.range_nm)  # (302, 2325) nm
eps = cdgm_h_zpk3.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=0.814545367λ2λ2−0.00353645413+1.105589λ2λ2−111.251357+0.690102416λ2λ2−0.0141865271

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.814545367
C30.00353645413
C41.105589
C5111.251357
C60.690102416
C70.0141865271

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -8.45e-06 1e-08 -1.93e-11 3.72e-07 2.45e-10 0.181
nd
1.593490
Vd
67.285372
glass code
593673
density
value: 3360
thermal expansion
value: 9.6e-06, temperature range: 243 343; value: 1.15e-05, temperature range: 293 573
dPgF
0.0057
resistance
climatic: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -3.58e-06 K⁻¹ at 633 nm, dn/dT = -3.89e-06 K⁻¹ at 1310 nm, dn/dT = -3.91e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 310-2400 nm only; k = 0 elsewhere in the n range 302-2325 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-ZPK3 (CDGM), H-ZPK3: n and k versus wavelength
λ (µm)nk
0.3021.6320890
0.3035491.6315110
0.3051061.6309410
0.306671.6303770
0.3082431.6298210
0.3098241.6292720
0.311.6292125.705000e-06
0.3114131.628735.360834e-06
0.313011.6281954.971784e-06
0.3146151.6276674.580738e-06
0.3162291.6271454.187688e-06
0.317851.626633.792621e-06
0.3194811.6261213.395528e-06
0.321.6259613.269000e-06
0.3211191.6256193.106290e-06
0.3227661.6251232.866836e-06
0.3244211.6246332.626154e-06
0.3260851.6241492.384238e-06
0.3277571.6236712.141080e-06
0.3294381.6231991.896676e-06
0.331.6230431.815000e-06
0.3311281.6227331.720451e-06
0.3328261.6222731.578083e-06
0.3345331.6218181.434985e-06
0.3362491.6213691.291153e-06
0.3379731.6209251.146583e-06
0.3397061.6204871.001272e-06
0.341.6204139.766500e-07
0.3414481.6200549.074497e-07
0.34321.6196268.237915e-07
0.344961.6192047.397043e-07
0.3467291.6187866.551858e-07
0.3485071.6183745.702339e-07
0.351.6180334.989100e-07
0.3502941.6179664.917145e-07
0.3520911.6175644.478029e-07
0.3538971.6171664.036661e-07
0.3557121.6167733.593029e-07
0.3575361.6163843.147122e-07
0.3593691.6162.698928e-07
0.361.615872.544800e-07
0.3612121.6156212.393157e-07
0.3630651.6152462.161466e-07
0.3649271.6148761.928588e-07
0.3667981.614511.694515e-07
0.368681.6141481.459242e-07
0.371.6138981.294100e-07
0.370571.6137911.256893e-07
0.3724711.6134371.132924e-07
0.3743811.6130881.008318e-07
0.3763011.6127438.830731e-08
0.3782311.6124017.571860e-08
0.381.6120946.417900e-08
0.3801711.6120646.383032e-08
0.382121.6117315.984843e-08
0.384081.6114015.584611e-08
0.386051.6110765.182327e-08
0.388031.6107544.777979e-08
0.391.6104384.375600e-08
0.390021.6104354.372000e-08
0.392021.610124.008180e-08
0.394031.6098093.642494e-08
0.3960511.6095023.274932e-08
0.3980821.6091982.905485e-08
0.41.6089152.556700e-08
0.4001241.6088972.553319e-08
0.4021761.60862.497370e-08
0.4042391.6083062.441134e-08
0.4063121.6080152.384610e-08
0.4083961.6077282.327796e-08
0.410491.6074442.270690e-08
0.4125951.6071632.213292e-08
0.4147111.6068852.155599e-08
0.4168381.606612.097610e-08
0.4189761.6063382.039324e-08
0.421.606212.011400e-08
0.4211251.606072.036601e-08
0.4232841.6058042.085001e-08
0.4254551.6055412.133649e-08
0.4276371.6052812.182547e-08
0.429831.6050242.231695e-08
0.4320351.604772.281095e-08
0.434251.6045182.330749e-08
0.4364771.6042692.380657e-08
0.4387161.6040232.430822e-08
0.441.6038842.459600e-08
0.4409661.603782.411677e-08
0.4432271.6035392.299462e-08
0.44551.6033012.186671e-08
0.4477851.6030662.073301e-08
0.4500821.6028331.959350e-08
0.452391.6026021.844815e-08
0.454711.6023741.729692e-08
0.4570421.6021481.613979e-08
0.4593861.6019251.497672e-08
0.461.6018671.467200e-08
0.4617421.6017041.472757e-08
0.464111.6014851.480311e-08
0.466491.6012691.487903e-08
0.4688831.6010551.495535e-08
0.4712871.6008441.503206e-08
0.4737041.6006341.510916e-08
0.4761341.6004271.518666e-08
0.4785751.6002221.526456e-08
0.481.6001031.531000e-08
0.481031.6000191.513725e-08
0.4834971.5998181.472341e-08
0.4859761.5996191.430746e-08
0.4884691.5994221.388937e-08
0.4909741.5992271.346913e-08
0.4934921.5990351.304675e-08
0.4960231.5988441.262219e-08
0.4985671.5986551.219546e-08
0.51.598551.195500e-08
0.5011231.5984681.198185e-08
0.5036931.5982831.204327e-08
0.5062771.59811.210501e-08
0.5088731.5979191.216707e-08
0.5114831.5977391.222944e-08
0.5141061.5975621.229213e-08
0.5167431.5973861.235515e-08
0.5193931.5972121.241849e-08
0.5220561.5970391.248215e-08
0.5247341.5968691.254614e-08
0.5274251.59671.261046e-08
0.530131.5965331.267510e-08
0.5328491.5963671.274008e-08
0.5355811.5962031.280540e-08
0.5383281.596041.287104e-08
0.5410891.595881.293703e-08
0.5438641.595721.300335e-08
0.5466531.5955621.307001e-08
0.5494571.5954061.313701e-08
0.551.5953761.315000e-08
0.5522751.5952521.320436e-08
0.5551071.5950981.327206e-08
0.5579541.5949461.334010e-08
0.5608151.5947961.340848e-08
0.5636911.5946471.347722e-08
0.5665821.59451.354632e-08
0.5694881.5943541.361576e-08
0.5724091.5942091.368557e-08
0.5753441.5940651.375573e-08
0.5782951.5939231.382625e-08
0.5812611.5937831.389713e-08
0.5842421.5936431.396838e-08
0.5872381.5935051.403999e-08
0.590251.5933681.411197e-08
0.5932771.5932321.418432e-08
0.5963191.5930981.425703e-08
0.5993781.5929641.433013e-08
0.61.5929381.434500e-08
0.6024521.5928321.465816e-08
0.6055411.5927021.505284e-08
0.6086471.5925721.544954e-08
0.6117681.5924431.584827e-08
0.6149061.5923161.624905e-08
0.6180591.5921891.665189e-08
0.6212291.5920641.705679e-08
0.6244151.591941.746377e-08
0.6276171.5918171.787283e-08
0.6308361.5916951.828399e-08
0.6340711.5915741.869726e-08
0.6373231.5914541.911265e-08
0.6405921.5913351.953018e-08
0.6438771.5912171.994984e-08
0.6471791.59112.037165e-08
0.651.5910012.073200e-08
0.6504981.5909842.074788e-08
0.6538341.5908692.085423e-08
0.6571871.5907552.096113e-08
0.6605581.5906422.106858e-08
0.6639451.590532.117658e-08
0.6673511.5904182.128514e-08
0.6707731.5903082.139425e-08
0.6742131.5901982.150391e-08
0.6776711.5900892.161415e-08
0.6811461.5899812.172494e-08
0.684641.5898742.183631e-08
0.6881511.5897682.194825e-08
0.691681.5896632.206076e-08
0.6952271.5895582.217384e-08
0.6987931.5894542.228751e-08
0.71.5894192.232600e-08
0.7023761.5893512.240181e-08
0.7059791.5892492.251672e-08
0.7095991.5891472.263222e-08
0.7132381.5890462.274831e-08
0.7168961.5889462.286499e-08
0.7205731.5888472.298228e-08
0.7242681.5887482.310016e-08
0.7279831.588652.321865e-08
0.7317161.5885532.333775e-08
0.7354691.5884562.345746e-08
0.7392411.588362.357778e-08
0.7430321.5882652.369872e-08
0.7468431.588172.382028e-08
0.7506731.5880762.394246e-08
0.7545231.5879832.406527e-08
0.7583921.587892.418871e-08
0.7622821.5877972.431278e-08
0.7661911.5877062.443749e-08
0.770121.5876152.456284e-08
0.774071.5875242.468883e-08
0.778041.5874342.481547e-08
0.782031.5873442.494276e-08
0.7860411.5872562.507070e-08
0.7900721.5871672.519929e-08
0.7941241.5870792.532855e-08
0.7981961.5869922.545847e-08
0.81.5869532.551600e-08
0.802291.5869052.496758e-08
0.8064051.5868182.398223e-08
0.810541.5867322.299182e-08
0.8146971.5866472.199633e-08
0.8188751.5865622.099574e-08
0.8230751.5864771.999002e-08
0.8272961.5863931.897914e-08
0.8315391.5863091.796307e-08
0.8358031.5862261.694179e-08
0.840091.5861431.591528e-08
0.8443981.586061.488350e-08
0.8487291.5859781.384643e-08
0.851.5859541.354200e-08
0.8530821.5858961.359106e-08
0.8574571.5858141.366071e-08
0.8618541.5857331.373072e-08
0.8662741.5856521.380108e-08
0.8707171.5855721.387181e-08
0.8751821.5854921.394290e-08
0.8796711.5854121.401436e-08
0.8841821.5853331.408618e-08
0.8887171.5852531.415837e-08
0.8932741.5851751.423093e-08
0.8978561.5850961.430386e-08
0.91.5850591.433800e-08
0.902461.5850181.437722e-08
0.9070881.5849391.445099e-08
0.9117411.5848621.452514e-08
0.9164161.5847841.459968e-08
0.9211161.5847071.467459e-08
0.925841.584631.474989e-08
0.9305881.5845531.482558e-08
0.9353611.5844761.490165e-08
0.9401581.58441.497812e-08
0.944981.5843231.505497e-08
0.9498261.5842471.513222e-08
0.951.5842451.513500e-08
0.9546971.5841711.520978e-08
0.9595931.5840961.528772e-08
0.9645151.584021.536607e-08
0.9694611.5839451.544482e-08
0.9744331.5838691.552397e-08
0.979431.5837941.560353e-08
0.9844531.5837191.568350e-08
0.9895021.5836441.576387e-08
0.9945771.583571.584466e-08
0.9996781.5834951.592587e-08
11.583491.593100e-08
1.00481.5834211.600755e-08
1.009961.5833461.608966e-08
1.015141.5832721.617219e-08
1.020341.5831971.625514e-08
1.025581.5831231.633851e-08
1.030841.5830491.642232e-08
1.036121.5829751.650655e-08
1.041441.5829011.659122e-08
1.046781.5828261.667632e-08
1.052151.5827521.676185e-08
1.057541.5826781.684783e-08
1.061.5826451.688700e-08
1.062971.5826041.693425e-08
1.068421.582531.702113e-08
1.07391.5824561.710844e-08
1.07941.5823821.719621e-08
1.084941.5823081.728443e-08
1.09051.5822341.737309e-08
1.09611.582161.746222e-08
1.101721.5820851.755180e-08
1.107371.5820111.764184e-08
1.113051.5819371.773234e-08
1.118761.5818621.782330e-08
1.124491.5817881.791474e-08
1.130261.5817131.800664e-08
1.136061.5816381.809901e-08
1.141881.5815631.819185e-08
1.147741.5814881.828518e-08
1.153621.5814131.837898e-08
1.159541.5813381.847326e-08
1.165491.5812631.856802e-08
1.171471.5811871.866328e-08
1.177471.5811111.875902e-08
1.183511.5810351.885525e-08
1.189581.5809591.895197e-08
1.195681.5808831.904919e-08
1.21.5808291.911800e-08
1.201811.5808071.945114e-08
1.207981.580732.058295e-08
1.214171.5806532.172056e-08
1.22041.5805762.286401e-08
1.226661.5804992.401332e-08
1.232951.5804212.516852e-08
1.239271.5803442.632965e-08
1.245631.5802662.749674e-08
1.252021.5801872.866980e-08
1.258441.5801092.984889e-08
1.264891.580033.103402e-08
1.271381.5799513.222523e-08
1.27791.5798713.342255e-08
1.284451.5797913.462601e-08
1.291041.5797113.583565e-08
1.297661.5796313.705148e-08
1.304321.579553.827355e-08
1.311011.5794693.950189e-08
1.317731.5793884.073653e-08
1.324491.5793064.197750e-08
1.331281.5792244.322483e-08
1.338111.5791414.447857e-08
1.344971.5790584.573873e-08
1.351871.5789754.700535e-08
1.35881.5788914.827847e-08
1.365771.5788074.955812e-08
1.372771.5787225.084433e-08
1.379811.5786375.213714e-08
1.386891.5785515.343658e-08
1.3941.5784655.474268e-08
1.41.5783935.584400e-08
1.401151.5783795.640755e-08
1.408341.5782925.992379e-08
1.415561.5782056.345806e-08
1.422821.5781176.701046e-08
1.430121.5780287.058108e-08
1.437451.5779397.417001e-08
1.444821.577857.777735e-08
1.452231.577768.140318e-08
1.459681.5776698.504762e-08
1.467171.5775788.871074e-08
1.474691.5774869.239265e-08
1.482251.5773949.609344e-08
1.489861.5773019.981321e-08
1.49751.5772081.035521e-07
1.505181.5771141.073101e-07
1.51291.5770191.110874e-07
1.520651.5769231.148840e-07
1.528451.5768271.187002e-07
1.536291.5767311.225359e-07
1.544171.5766331.263913e-07
1.552091.5765351.302664e-07
1.560051.5764371.341615e-07
1.568051.5763371.380765e-07
1.576091.5762371.420115e-07
1.584181.5761361.459668e-07
1.59231.5760341.499423e-07
1.61.5759381.537100e-07
1.600471.5759321.545072e-07
1.608671.5758291.685339e-07
1.616921.5757251.826325e-07
1.625221.575621.968035e-07
1.633551.5755152.110471e-07
1.641931.5754082.253637e-07
1.650351.5753012.397538e-07
1.658811.5751932.542176e-07
1.667321.5750842.687557e-07
1.675871.5749752.833683e-07
1.684471.5748642.980558e-07
1.693111.5747523.128187e-07
1.701791.574643.276573e-07
1.710521.5745273.425720e-07
1.719291.5744123.575631e-07
1.728111.5742973.726312e-07
1.736971.5741813.877765e-07
1.745881.5740644.029995e-07
1.754831.5739454.183006e-07
1.763831.5738264.336802e-07
1.772881.5737064.491386e-07
1.781971.5735854.646763e-07
1.791111.5734634.802937e-07
1.81.5733434.954900e-07
1.800291.5733394.962572e-07
1.809531.5732155.204107e-07
1.818811.5730895.446882e-07
1.828131.5729635.690901e-07
1.837511.5728355.936172e-07
1.846931.5727066.182700e-07
1.856411.5725766.430493e-07
1.865931.5724446.679557e-07
1.87551.5723126.929898e-07
1.885111.5721787.181523e-07
1.894781.5720437.434438e-07
1.90451.5719077.688651e-07
1.914271.571777.944167e-07
1.924081.5716318.200994e-07
1.933951.5714918.459138e-07
1.943871.571358.718605e-07
1.953841.5712078.979404e-07
1.963861.5710639.241539e-07
1.973931.5709189.505020e-07
1.984051.5707719.769851e-07
1.994231.5706231.003604e-06
21.5705391.018700e-06
2.004461.5704731.049435e-06
2.014741.5703221.120325e-06
2.025071.570171.191579e-06
2.035461.5700161.263198e-06
2.045891.569861.335184e-06
2.056391.5697031.407540e-06
2.066931.5695451.480267e-06
2.077531.5693841.553366e-06
2.088191.5692231.626841e-06
2.09891.5690591.700692e-06
2.109661.5688941.774922e-06
2.120481.5687281.849533e-06
2.131361.5685591.924526e-06
2.142291.5683891.999904e-06
2.153271.5682182.075669e-06
2.164321.5680442.151822e-06
2.175421.5678692.228366e-06
2.186571.5676922.305302e-06
2.197791.5675132.382633e-06
2.21.5674772.397900e-06
2.209061.5673322.457793e-06
2.220391.567152.532707e-06
2.231771.5669652.608005e-06
2.243221.5667792.683690e-06
2.254721.566592.759763e-06
2.266291.56642.836226e-06
2.277911.5662082.913081e-06
2.289591.5660132.990330e-06
2.301331.5658173.067975e-06
2.313141.5656193.146019e-06
2.3251.5654183.224463e-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
—