Optical constants

Refractive index of D-ZPK5 (CDGM)

D-ZPK5: 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
1.5928
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.53701
Permittivity ε2
4.47533e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
68.342
Chromatic dispersion dn/dλ
-0.0447598 µm⁻¹
Group index ng
1.6191
Group velocity dispersion
79.5764 fs²/mm
Dispersion parameter D
-434.131 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

# D-ZPK5 (CDGM): D-ZPK5
cdgm_d_zpk5 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZPK5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zpk5.range_nm)  # (302, 2325) nm
eps = cdgm_d_zpk5.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=0.259562934λ2λ2−0.0196231869+1.24131969λ2λ2−0.00619669959+0.78723739λ2λ2−123.753444

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.259562934
C30.0196231869
C41.24131969
C50.00619669959
C60.78723739
C7123.753444

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.01e-05 4.05e-09 -1.52e-11 4e-07 1.43e-10 0.192
nd
1.592800
Vd
68.342024
glass code
593683
density
value: 4290
thermal expansion
value: 1.23e-05, temperature range: 243 343; value: 1.43e-05, temperature range: 293 573
dPgF
0.0154
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -9.14e-06 K⁻¹ at 633 nm, dn/dT = -9.41e-06 K⁻¹ at 1310 nm, dn/dT = -9.41e-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
D-ZPK5 (CDGM), D-ZPK5: n and k versus wavelength
λ (µm)nk
0.3021.6315474.299340e-06
0.3035491.6309614.121490e-06
0.3051061.6303823.942728e-06
0.306671.629813.763049e-06
0.3082431.6292473.582448e-06
0.3098241.628693.400922e-06
0.311.6286293.380700e-06
0.3114131.6281413.206709e-06
0.313011.6275993.010028e-06
0.3146151.6270642.812339e-06
0.3162291.6265352.613635e-06
0.317851.6260142.413912e-06
0.3194811.6254992.213165e-06
0.321.6253372.149200e-06
0.3211191.6249912.054439e-06
0.3227661.6244891.914982e-06
0.3244211.6239931.774811e-06
0.3260851.6235041.633920e-06
0.3277571.6230211.492307e-06
0.3294381.6225441.349968e-06
0.331.6223861.302400e-06
0.3311281.6220731.238857e-06
0.3328261.6216081.143175e-06
0.3345331.6211481.047003e-06
0.3362491.6206959.503381e-07
0.3379731.6202478.531771e-07
0.3397061.6198047.555177e-07
0.341.619737.389700e-07
0.3414481.6193676.890419e-07
0.34321.6189366.286824e-07
0.344961.6185095.680134e-07
0.3467291.6180885.070332e-07
0.3485071.6176724.457403e-07
0.351.6173283.942800e-07
0.3502941.6172613.887933e-07
0.3520911.6168553.553104e-07
0.3538971.6164543.216557e-07
0.3557121.6160582.878284e-07
0.3575361.6156672.538276e-07
0.3593691.615282.196524e-07
0.361.6151482.079000e-07
0.3612121.6148981.950418e-07
0.3630651.614521.753962e-07
0.3649271.6141471.556498e-07
0.3667981.6137791.358022e-07
0.368681.6134141.158528e-07
0.371.6131631.018500e-07
0.370571.6130559.917360e-08
0.3724711.6126999.025600e-08
0.3743811.6123488.129266e-08
0.3763011.6127.228336e-08
0.3782311.6116576.322785e-08
0.381.6113485.492700e-08
0.3801711.6113185.457532e-08
0.382121.6109835.055911e-08
0.384081.6106524.652230e-08
0.386051.6103244.246479e-08
0.388031.6100013.838647e-08
0.391.6096843.432800e-08
0.390021.6096813.431702e-08
0.392021.6093653.320689e-08
0.394031.6090523.209108e-08
0.3960511.6087433.096954e-08
0.3980821.6084382.984225e-08
0.41.6081542.877800e-08
0.4001241.6081362.874514e-08
0.4021761.6078382.820135e-08
0.4042391.6075432.765477e-08
0.4063121.6072512.710538e-08
0.4083961.6069632.655318e-08
0.410491.6066782.599815e-08
0.4125951.6063962.544027e-08
0.4147111.6061182.487953e-08
0.4168381.6058422.431591e-08
0.4189761.605572.374941e-08
0.421.6054412.347800e-08
0.4211251.6053012.354086e-08
0.4232841.6050342.366159e-08
0.4254551.6047712.378294e-08
0.4276371.6045112.390491e-08
0.429831.6042542.402751e-08
0.4320351.6039992.415073e-08
0.434251.6037472.427459e-08
0.4364771.6034992.439908e-08
0.4387161.6032522.452421e-08
0.441.6031132.459600e-08
0.4409661.6030092.447209e-08
0.4432271.6027682.418194e-08
0.44551.602532.389030e-08
0.4477851.6022952.359717e-08
0.4500821.6020622.330253e-08
0.452391.6018322.300638e-08
0.454711.6016042.270871e-08
0.4570421.6013792.240952e-08
0.4593861.6011562.210879e-08
0.461.6010982.203000e-08
0.4617421.6009352.177882e-08
0.464111.6007172.143735e-08
0.466491.6005022.109413e-08
0.4688831.6002882.074914e-08
0.4712871.6000772.040239e-08
0.4737041.5998682.005386e-08
0.4761341.5996621.970354e-08
0.4785751.5994581.935142e-08
0.481.599341.914600e-08
0.481031.5992551.898128e-08
0.4834971.5990551.858669e-08
0.4859761.5988581.819007e-08
0.4884691.5986621.779142e-08
0.4909741.5984681.739073e-08
0.4934921.5982771.698798e-08
0.4960231.5980871.658317e-08
0.4985671.5978991.617628e-08
0.51.5977951.594700e-08
0.5011231.5977141.588415e-08
0.5036931.597531.574039e-08
0.5062771.5973481.559588e-08
0.5088731.5971681.545064e-08
0.5114831.596991.530465e-08
0.5141061.5968141.515791e-08
0.5167431.596641.501042e-08
0.5193931.5964681.486217e-08
0.5220561.5962971.471316e-08
0.5247341.5961281.456339e-08
0.5274251.5959611.441285e-08
0.530131.5957951.426153e-08
0.5328491.5956311.410945e-08
0.5355811.5954691.395658e-08
0.5383281.5953091.380292e-08
0.5410891.595151.364848e-08
0.5438641.5949931.349325e-08
0.5466531.5948371.333722e-08
0.5494571.5946831.318039e-08
0.551.5946531.315000e-08
0.5522751.5945311.320436e-08
0.5551071.594381.327206e-08
0.5579541.594231.334010e-08
0.5608151.5940821.340848e-08
0.5636911.5939361.347722e-08
0.5665821.5937911.354632e-08
0.5694881.5936471.361576e-08
0.5724091.5935051.368557e-08
0.5753441.5933641.375573e-08
0.5782951.5932251.382625e-08
0.5812611.5930871.389713e-08
0.5842421.592951.396838e-08
0.5872381.5928141.403999e-08
0.590251.592681.411197e-08
0.5932771.5925481.418432e-08
0.5963191.5924161.425703e-08
0.5993781.5922861.433013e-08
0.61.592261.434500e-08
0.6024521.5921571.440364e-08
0.6055411.5920291.447755e-08
0.6086471.5919031.455183e-08
0.6117681.5917781.462650e-08
0.6149061.5916531.470154e-08
0.6180591.5915311.477698e-08
0.6212291.5914091.485280e-08
0.6244151.5912881.492901e-08
0.6276171.5911691.500561e-08
0.6308361.591051.508260e-08
0.6340711.5909331.515998e-08
0.6373231.5908171.523777e-08
0.6405921.5907021.531595e-08
0.6438771.5905871.539454e-08
0.6471791.5904741.547352e-08
0.651.5903791.554100e-08
0.6504981.5903621.555291e-08
0.6538341.5902511.563264e-08
0.6571871.5901411.571278e-08
0.6605581.5900321.579333e-08
0.6639451.5899241.587430e-08
0.6673511.5898171.595568e-08
0.6707731.5897111.603748e-08
0.6742131.5896061.611969e-08
0.6776711.5895021.620233e-08
0.6811461.5893981.628540e-08
0.684641.5892961.636889e-08
0.6881511.5891941.645280e-08
0.691681.5890941.653715e-08
0.6952271.5889941.662193e-08
0.6987931.5888951.670715e-08
0.71.5888611.673600e-08
0.7023761.5887971.679282e-08
0.7059791.5886991.687895e-08
0.7095991.5886031.696552e-08
0.7132381.5885071.705253e-08
0.7168961.5884121.713999e-08
0.7205731.5883181.722790e-08
0.7242681.5882251.731626e-08
0.7279831.5881321.740507e-08
0.7317161.588041.749434e-08
0.7354691.5879491.758406e-08
0.7392411.5878591.767425e-08
0.7430321.5877691.776489e-08
0.7468431.587681.785601e-08
0.7506731.5875921.794759e-08
0.7545231.5875051.803964e-08
0.7583921.5874181.813216e-08
0.7622821.5873311.822515e-08
0.7661911.5872461.831863e-08
0.770121.5871611.841258e-08
0.774071.5870771.850701e-08
0.778041.5869931.860193e-08
0.782031.586911.869734e-08
0.7860411.5868281.879323e-08
0.7900721.5867461.888962e-08
0.7941241.5866651.898650e-08
0.7981961.5865841.908388e-08
0.81.5865491.912700e-08
0.802291.5865041.887120e-08
0.8064051.5864251.841161e-08
0.810541.5863461.794965e-08
0.8146971.5862671.748533e-08
0.8188751.5861891.701863e-08
0.8230751.5861121.654953e-08
0.8272961.5860351.607803e-08
0.8315391.5859591.560411e-08
0.8358031.5858831.512776e-08
0.840091.5858081.464896e-08
0.8443981.5857331.416771e-08
0.8487291.5856591.368399e-08
0.851.5856371.354200e-08
0.8530821.5855851.359106e-08
0.8574571.5855111.366071e-08
0.8618541.5854381.373072e-08
0.8662741.5853661.380108e-08
0.8707171.5852941.387181e-08
0.8751821.5852221.394290e-08
0.8796711.5851511.401436e-08
0.8841821.585081.408618e-08
0.8887171.585011.415837e-08
0.8932741.584941.423093e-08
0.8978561.584871.430386e-08
0.91.5848381.433800e-08
0.902461.5848011.437722e-08
0.9070881.5847321.445099e-08
0.9117411.5846631.452514e-08
0.9164161.5845951.459968e-08
0.9211161.5845271.467459e-08
0.925841.584461.474989e-08
0.9305881.5843921.482558e-08
0.9353611.5843261.490165e-08
0.9401581.5842591.497812e-08
0.944981.5841931.505497e-08
0.9498261.5841271.513222e-08
0.951.5841251.513500e-08
0.9546971.5840611.520978e-08
0.9595931.5839961.528772e-08
0.9645151.5839311.536607e-08
0.9694611.5838661.544482e-08
0.9744331.5838021.552397e-08
0.979431.5837371.560353e-08
0.9844531.5836731.568350e-08
0.9895021.583611.576387e-08
0.9945771.5835461.584466e-08
0.9996781.5834831.592587e-08
11.5834791.593100e-08
1.00481.583421.600755e-08
1.009961.5833571.608966e-08
1.015141.5832941.617219e-08
1.020341.5832321.625514e-08
1.025581.5831691.633851e-08
1.030841.5831071.642232e-08
1.036121.5830461.650655e-08
1.041441.5829841.659122e-08
1.046781.5829221.667632e-08
1.052151.5828611.676185e-08
1.057541.58281.684783e-08
1.061.5827721.688700e-08
1.062971.5827391.693425e-08
1.068421.5826781.702113e-08
1.07391.5826171.710844e-08
1.07941.5825561.719621e-08
1.084941.5824961.728443e-08
1.09051.5824351.737309e-08
1.09611.5823751.746222e-08
1.101721.5823151.755180e-08
1.107371.5822551.764184e-08
1.113051.5821951.773234e-08
1.118761.5821351.782330e-08
1.124491.5820751.791474e-08
1.130261.5820151.800664e-08
1.136061.5819551.809901e-08
1.141881.5818951.819185e-08
1.147741.5818361.828518e-08
1.153621.5817761.837898e-08
1.159541.5817171.847326e-08
1.165491.5816571.856802e-08
1.171471.5815981.866328e-08
1.177471.5815381.875902e-08
1.183511.5814791.885525e-08
1.189581.5814191.895197e-08
1.195681.581361.904919e-08
1.21.5813181.911800e-08
1.201811.58131.914690e-08
1.207981.581241.924509e-08
1.214171.5811811.934377e-08
1.22041.5811211.944297e-08
1.226661.5810621.954267e-08
1.232951.5810021.964289e-08
1.239271.5809421.974361e-08
1.245631.5808821.984486e-08
1.252021.5808231.994662e-08
1.258441.5807632.004891e-08
1.264891.5807032.015172e-08
1.271381.5806432.025506e-08
1.27791.5805822.035893e-08
1.284451.5805222.046333e-08
1.291041.5804622.056826e-08
1.297661.5804012.067374e-08
1.304321.5803412.077975e-08
1.311011.580282.088631e-08
1.317731.5802192.099342e-08
1.324491.5801582.110107e-08
1.331281.5800972.120928e-08
1.338111.5800362.131804e-08
1.344971.5799742.142736e-08
1.351871.5799122.153724e-08
1.35881.5798512.164769e-08
1.365771.5797892.175870e-08
1.372771.5797262.187028e-08
1.379811.5796642.198243e-08
1.386891.5796022.209515e-08
1.3941.5795392.220846e-08
1.41.5794862.230400e-08
1.401151.5794762.232235e-08
1.408341.5794132.243682e-08
1.415561.5793492.255187e-08
1.422821.5792852.266752e-08
1.430121.5792212.278376e-08
1.437451.5791572.290060e-08
1.444821.5790932.301803e-08
1.452231.5790282.313607e-08
1.459681.5789632.325472e-08
1.467171.5788982.337397e-08
1.474691.5788322.349383e-08
1.482251.5787672.361431e-08
1.489861.57872.373541e-08
1.49751.5786342.385712e-08
1.505181.5785672.397946e-08
1.51291.57852.410243e-08
1.520651.5784332.422603e-08
1.528451.5783652.435027e-08
1.536291.5782972.447514e-08
1.544171.5782282.460065e-08
1.552091.5781592.472680e-08
1.560051.578092.485360e-08
1.568051.5780212.498105e-08
1.576091.5779512.510916e-08
1.584181.577882.523792e-08
1.59231.5778092.536735e-08
1.61.5777422.549000e-08
1.600471.5777382.553093e-08
1.608671.5776672.625102e-08
1.616921.5775942.697480e-08
1.625221.5775222.770229e-08
1.633551.5774492.843352e-08
1.641931.5773762.916849e-08
1.650351.5773022.990724e-08
1.658811.5772273.064977e-08
1.667321.5771533.139611e-08
1.675871.5770773.214628e-08
1.684471.5770013.290030e-08
1.693111.5769253.365818e-08
1.701791.5768483.441995e-08
1.710521.5767713.518563e-08
1.719291.5766933.595523e-08
1.728111.5766153.672878e-08
1.736971.5765363.750630e-08
1.745881.5764563.828781e-08
1.754831.5763763.907332e-08
1.763831.5762953.986286e-08
1.772881.5762144.065645e-08
1.781971.5761324.145411e-08
1.791111.5760494.225586e-08
1.81.5759694.303600e-08
1.800291.5759664.308987e-08
1.809531.5758824.478599e-08
1.818811.5757984.649081e-08
1.828131.5757134.820437e-08
1.837511.5756274.992671e-08
1.846931.5755415.165789e-08
1.856411.5754545.339795e-08
1.865931.5753665.514693e-08
1.87551.5752775.690489e-08
1.885111.5751885.867185e-08
1.894781.5750986.044788e-08
1.90451.5750086.223302e-08
1.914271.5749166.402732e-08
1.924081.5748246.583081e-08
1.933951.5747316.764356e-08
1.943871.5746376.946560e-08
1.953841.5745437.129698e-08
1.963861.5744477.313776e-08
1.973931.5743517.498798e-08
1.984051.5742547.684769e-08
1.994231.5741567.871693e-08
21.5741017.977700e-08
2.004461.5740588.152641e-08
2.014741.5739588.556143e-08
2.025071.5738588.961713e-08
2.035461.5737569.369363e-08
2.045891.5736549.779104e-08
2.056391.5735511.019095e-07
2.066931.5734471.060490e-07
2.077531.5733421.102098e-07
2.088191.5732361.143919e-07
2.09891.5731291.185955e-07
2.109661.5730211.228206e-07
2.120481.5729121.270674e-07
2.131361.5728021.313359e-07
2.142291.5726911.356264e-07
2.153271.5725791.399389e-07
2.164321.5724661.442734e-07
2.175421.5723521.486302e-07
2.186571.5722361.530094e-07
2.197791.572121.574110e-07
2.21.5720971.582800e-07
2.209061.5720021.659422e-07
2.220391.5718841.755261e-07
2.231771.5717641.851592e-07
2.243221.5716431.948417e-07
2.254721.5715212.045738e-07
2.266291.5713982.143558e-07
2.277911.5712732.241881e-07
2.289591.5711472.340707e-07
2.301331.571022.440040e-07
2.313141.5708922.539883e-07
2.3251.5707632.640238e-07

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
—