Optical constants

Refractive index of D-ZK2L (CDGM)

D-ZK2L: 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
1.587
Extinction coefficient k
2.34385e-08
Permittivity ε1
2.51856
Permittivity ε2
7.43937e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
59.6
Chromatic dispersion dn/dλ
-0.0509444 µm⁻¹
Group index ng
1.61693
Group velocity dispersion
88.1472 fs²/mm
Dispersion parameter D
-480.89 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-ZK2L (CDGM): D-ZK2L
cdgm_d_zk2l = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZK2L", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zk2l.range_nm)  # (302, 2325) nm
eps = cdgm_d_zk2l.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=0.512521894λ2λ2−0.0176943616+0.967402158λ2λ2−0.00510795325+1.12488967λ2λ2−109.10377

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.512521894
C30.0176943616
C40.967402158
C50.00510795325
C61.12488967
C7109.10377

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.09e-06 1.37e-08 -3.16e-11 4.84e-07 4.03e-10 0.189
nd
1.587000
Vd
59.600321
glass code
587596
density
value: 2990
thermal expansion
value: 9e-06, temperature range: 293 573
dPgF
-0.0033

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.63e-06 K⁻¹ at 633 nm, dn/dT = 1.11e-06 K⁻¹ at 1310 nm, dn/dT = 1.07e-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-ZK2L (CDGM), D-ZK2L: n and k versus wavelength
λ (µm)nk
0.3021.6308735.803900e-06
0.3035491.6302035.382159e-06
0.3051061.6295434.958254e-06
0.306671.6288924.532176e-06
0.3082431.6282494.103913e-06
0.3098241.6276153.673453e-06
0.311.6275453.625500e-06
0.3114131.6269893.392651e-06
0.313011.6263723.129435e-06
0.3146151.6257632.864870e-06
0.3162291.6251612.598947e-06
0.317851.6245682.331661e-06
0.3194811.6239822.063004e-06
0.321.6237981.977400e-06
0.3211191.6234041.878230e-06
0.3227661.6228331.732285e-06
0.3244211.622271.585591e-06
0.3260851.6217141.438145e-06
0.3277571.6211651.289943e-06
0.3294381.6206241.140981e-06
0.331.6204451.091200e-06
0.3311281.6200891.032434e-06
0.3328261.6195619.439463e-07
0.3345331.6190398.550047e-07
0.3362491.6185257.656069e-07
0.3379731.6180166.757507e-07
0.3397061.6175145.854337e-07
0.341.617435.701300e-07
0.3414481.6170195.309512e-07
0.34321.6165294.835868e-07
0.344961.6160464.359795e-07
0.3467291.6155693.881280e-07
0.3485071.6150983.400311e-07
0.351.6147082.996500e-07
0.3502941.6146322.956891e-07
0.3520911.6141722.715173e-07
0.3538971.6137182.472216e-07
0.3557121.613272.228013e-07
0.3575361.6128271.982557e-07
0.3593691.6123891.735842e-07
0.361.612241.651000e-07
0.3612121.6119571.563241e-07
0.3630651.611531.429159e-07
0.3649271.6111081.294388e-07
0.3667981.6106911.158927e-07
0.368681.6102791.022770e-07
0.371.6099949.272000e-08
0.370571.6098729.109208e-08
0.3724711.609478.566793e-08
0.3743811.6090738.021596e-08
0.3763011.6086817.473604e-08
0.3782311.6082936.922801e-08
0.381.6079436.417900e-08
0.3801711.607916.388409e-08
0.382121.6075316.051615e-08
0.384081.6071575.713095e-08
0.386051.6067885.372838e-08
0.388031.6064225.030837e-08
0.391.6060654.690500e-08
0.390021.6060614.688822e-08
0.392021.6057044.519264e-08
0.394031.6053524.348835e-08
0.3960511.6050034.177533e-08
0.3980821.6046584.005352e-08
0.41.6043383.842800e-08
0.4001241.6043183.837708e-08
0.4021761.6039813.753451e-08
0.4042391.6036493.668762e-08
0.4063121.603323.583639e-08
0.4083961.6029953.498079e-08
0.410491.6026733.412081e-08
0.4125951.6023553.325641e-08
0.4147111.6020413.238758e-08
0.4168381.6017313.151429e-08
0.4189761.6014243.063653e-08
0.421.6012783.021600e-08
0.4211251.601123.029691e-08
0.4232841.600823.045230e-08
0.4254551.6005233.060850e-08
0.4276371.600233.076549e-08
0.429831.599943.092328e-08
0.4320351.5996533.108189e-08
0.434251.5993693.124131e-08
0.4364771.5990893.140155e-08
0.4387161.5988113.156260e-08
0.441.5986543.165500e-08
0.4409661.5985373.154620e-08
0.4432271.5982653.129145e-08
0.44551.5979973.103538e-08
0.4477851.5977323.077800e-08
0.4500821.5974693.051931e-08
0.452391.597213.025928e-08
0.454711.5969532.999792e-08
0.4570421.5966992.973522e-08
0.4593861.5964482.947118e-08
0.461.5963832.940200e-08
0.4617421.5961992.917817e-08
0.464111.5959532.887388e-08
0.466491.595712.856802e-08
0.4688831.595472.826060e-08
0.4712871.5952322.795160e-08
0.4737041.5949962.764101e-08
0.4761341.5947632.732884e-08
0.4785751.5945332.701506e-08
0.481.59442.683200e-08
0.481031.5943052.668335e-08
0.4834971.5940792.632724e-08
0.4859761.5938562.596931e-08
0.4884691.5936352.560954e-08
0.4909741.5934172.524792e-08
0.4934921.5932012.488445e-08
0.4960231.5929872.451912e-08
0.4985671.5927752.415192e-08
0.51.5926572.394500e-08
0.5011231.5925652.389993e-08
0.5036931.5923582.379682e-08
0.5062771.5921532.369318e-08
0.5088731.591952.358901e-08
0.5114831.5917492.348431e-08
0.5141061.591552.337906e-08
0.5167431.5913532.327328e-08
0.5193931.5911582.316696e-08
0.5220561.5909652.306009e-08
0.5247341.5907742.295268e-08
0.5274251.5905852.284471e-08
0.530131.5903982.273619e-08
0.5328491.5902122.262711e-08
0.5355811.5900292.251747e-08
0.5383281.5898472.240728e-08
0.5410891.5896672.229651e-08
0.5438641.5894892.218518e-08
0.5466531.5893132.207328e-08
0.5494571.5891382.196080e-08
0.551.5891052.193900e-08
0.5522751.5889662.202971e-08
0.5551071.5887942.214266e-08
0.5579541.5886252.225620e-08
0.5608151.5884572.237031e-08
0.5636911.5882912.248501e-08
0.5665821.5881262.260030e-08
0.5694881.5879632.271618e-08
0.5724091.5878022.283266e-08
0.5753441.5876422.294973e-08
0.5782951.5874832.306740e-08
0.5812611.5873262.318568e-08
0.5842421.5871712.330456e-08
0.5872381.5870172.342405e-08
0.590251.5868642.354416e-08
0.5932771.5867132.366488e-08
0.5963191.5865632.378622e-08
0.5993781.5864152.390818e-08
0.61.5863852.393300e-08
0.6024521.5862682.403082e-08
0.6055411.5861222.415410e-08
0.6086471.5859782.427801e-08
0.6117681.5858352.440255e-08
0.6149061.5856932.452774e-08
0.6180591.5855522.465356e-08
0.6212291.5854132.478004e-08
0.6244151.5852752.490716e-08
0.6276171.5851382.503493e-08
0.6308361.5850032.516336e-08
0.6340711.5848682.529244e-08
0.6373231.5847352.542219e-08
0.6405921.5846032.555261e-08
0.6438771.5844722.568369e-08
0.6471791.5843422.581544e-08
0.651.5842322.592800e-08
0.6504981.5842132.589212e-08
0.6538341.5840862.565178e-08
0.6571871.5839592.541022e-08
0.6605581.5838332.516742e-08
0.6639451.5837092.492337e-08
0.6673511.5835862.467807e-08
0.6707731.5834632.443151e-08
0.6742131.5833422.418369e-08
0.6776711.5832212.393459e-08
0.6811461.5831022.368422e-08
0.684641.5829832.343257e-08
0.6881511.5828652.317962e-08
0.691681.5827492.292538e-08
0.6952271.5826332.266983e-08
0.6987931.5825182.241297e-08
0.71.5824792.232600e-08
0.7023761.5824042.224998e-08
0.7059791.5822912.213474e-08
0.7095991.5821792.201892e-08
0.7132381.5820672.190250e-08
0.7168961.5819562.178549e-08
0.7205731.5818472.166787e-08
0.7242681.5817382.154965e-08
0.7279831.5816292.143083e-08
0.7317161.5815222.131140e-08
0.7354691.5814152.119135e-08
0.7392411.5813092.107069e-08
0.7430321.5812042.094941e-08
0.7468431.58112.082751e-08
0.7506731.5809962.070498e-08
0.7545231.5808932.058182e-08
0.7583921.5807912.045803e-08
0.7622821.5806892.033361e-08
0.7661911.5805882.020855e-08
0.770121.5804882.008285e-08
0.774071.5803881.995650e-08
0.778041.5802891.982951e-08
0.782031.580191.970186e-08
0.7860411.5800921.957356e-08
0.7900721.5799951.944460e-08
0.7941241.5798991.931498e-08
0.7981961.5798021.918469e-08
0.81.579761.912700e-08
0.802291.5797071.887120e-08
0.8064051.5796121.841161e-08
0.810541.5795181.794965e-08
0.8146971.5794241.748533e-08
0.8188751.579331.701863e-08
0.8230751.5792371.654953e-08
0.8272961.5791451.607803e-08
0.8315391.5790531.560411e-08
0.8358031.5789621.512776e-08
0.840091.5788711.464896e-08
0.8443981.578781.416771e-08
0.8487291.578691.368399e-08
0.851.5786641.354200e-08
0.8530821.5786011.359106e-08
0.8574571.5785121.366071e-08
0.8618541.5784231.373072e-08
0.8662741.5783351.380108e-08
0.8707171.5782471.387181e-08
0.8751821.5781591.394290e-08
0.8796711.5780721.401436e-08
0.8841821.5779851.408618e-08
0.8887171.5778991.415837e-08
0.8932741.5778121.423093e-08
0.8978561.5777271.430386e-08
0.91.5776871.433800e-08
0.902461.5776411.437722e-08
0.9070881.5775561.445099e-08
0.9117411.5774711.452514e-08
0.9164161.5773871.459968e-08
0.9211161.5773031.467459e-08
0.925841.5772191.474989e-08
0.9305881.5771351.482558e-08
0.9353611.5770511.490165e-08
0.9401581.5769681.497812e-08
0.944981.5768851.505497e-08
0.9498261.5768031.513222e-08
0.951.57681.513500e-08
0.9546971.576721.520978e-08
0.9595931.5766381.528772e-08
0.9645151.5765561.536607e-08
0.9694611.5764741.544482e-08
0.9744331.5763921.552397e-08
0.979431.5763111.560353e-08
0.9844531.576231.568350e-08
0.9895021.5761481.576387e-08
0.9945771.5760671.584466e-08
0.9996781.5759861.592587e-08
11.5759811.593100e-08
1.00481.5759061.600755e-08
1.009961.5758251.608966e-08
1.015141.5757451.617219e-08
1.020341.5756641.625514e-08
1.025581.5755841.633851e-08
1.030841.5755041.642232e-08
1.036121.5754241.650655e-08
1.041441.5753431.659122e-08
1.046781.5752631.667632e-08
1.052151.5751841.676185e-08
1.057541.5751041.684783e-08
1.061.5750671.688700e-08
1.062971.5750241.693425e-08
1.068421.5749441.702113e-08
1.07391.5748641.710844e-08
1.07941.5747841.719621e-08
1.084941.5747041.728443e-08
1.09051.5746241.737309e-08
1.09611.5745451.746222e-08
1.101721.5744651.755180e-08
1.107371.5743851.764184e-08
1.113051.5743051.773234e-08
1.118761.5742251.782330e-08
1.124491.5741451.791474e-08
1.130261.5740641.800664e-08
1.136061.5739841.809901e-08
1.141881.5739041.819185e-08
1.147741.5738231.828518e-08
1.153621.5737431.837898e-08
1.159541.5736621.847326e-08
1.165491.5735811.856802e-08
1.171471.57351.866328e-08
1.177471.5734191.875902e-08
1.183511.5733381.885525e-08
1.189581.5732571.895197e-08
1.195681.5731751.904919e-08
1.21.5731171.911800e-08
1.201811.5730931.914690e-08
1.207981.5730111.924509e-08
1.214171.5729291.934377e-08
1.22041.5728471.944297e-08
1.226661.5727641.954267e-08
1.232951.5726811.964289e-08
1.239271.5725981.974361e-08
1.245631.5725151.984486e-08
1.252021.5724311.994662e-08
1.258441.5723482.004891e-08
1.264891.5722642.015172e-08
1.271381.5721792.025506e-08
1.27791.5720942.035893e-08
1.284451.5720092.046333e-08
1.291041.5719242.056826e-08
1.297661.5718382.067374e-08
1.304321.5717532.077975e-08
1.311011.5716662.088631e-08
1.317731.571582.099342e-08
1.324491.5714932.110107e-08
1.331281.5714052.120928e-08
1.338111.5713172.131804e-08
1.344971.5712292.142736e-08
1.351871.5711412.153724e-08
1.35881.5710522.164769e-08
1.365771.5709622.175870e-08
1.372771.5708722.187028e-08
1.379811.5707822.198243e-08
1.386891.5706912.209515e-08
1.3941.57062.220846e-08
1.41.5705232.230400e-08
1.401151.5705082.239585e-08
1.408341.5704162.296896e-08
1.415561.5703242.354500e-08
1.422821.570232.412400e-08
1.430121.5701372.470597e-08
1.437451.5700422.529092e-08
1.444821.5699482.587888e-08
1.452231.5698522.646984e-08
1.459681.5697562.706384e-08
1.467171.569662.766089e-08
1.474691.5695632.826100e-08
1.482251.5694652.886418e-08
1.489861.5693672.947046e-08
1.49751.5692683.007985e-08
1.505181.5691693.069236e-08
1.51291.5690693.130802e-08
1.520651.5689683.192683e-08
1.528451.5688663.254881e-08
1.536291.5687643.317399e-08
1.544171.5686613.380237e-08
1.552091.5685583.443397e-08
1.560051.5684543.506882e-08
1.568051.5683493.570692e-08
1.576091.5682433.634829e-08
1.584181.5681373.699295e-08
1.59231.5680293.764092e-08
1.61.5679283.825500e-08
1.600471.5679213.877266e-08
1.608671.5678134.788048e-08
1.616921.5677035.703501e-08
1.625221.5675936.623649e-08
1.633551.5674817.548516e-08
1.641931.5673698.478127e-08
1.650351.5672569.412504e-08
1.658811.5671431.035167e-07
1.667321.5670281.129566e-07
1.675871.5669121.224449e-07
1.684471.5667961.319818e-07
1.693111.5666781.415677e-07
1.701791.566561.512027e-07
1.710521.5664411.608871e-07
1.719291.566321.706212e-07
1.728111.5661991.804052e-07
1.736971.5660771.902394e-07
1.745881.5659542.001240e-07
1.754831.5658292.100593e-07
1.763831.5657042.200456e-07
1.772881.5655782.300830e-07
1.781971.565452.401720e-07
1.791111.5653212.503127e-07
1.81.5651962.601800e-07
1.800291.5651922.607026e-07
1.809531.5650612.771555e-07
1.818811.5649292.936928e-07
1.828131.5647963.103149e-07
1.837511.5646623.270222e-07
1.846931.5645263.438153e-07
1.856411.5643893.606944e-07
1.865931.5642523.776601e-07
1.87551.5641123.947128e-07
1.885111.5639724.118530e-07
1.894781.563834.290811e-07
1.90451.5636874.463975e-07
1.914271.5635434.638028e-07
1.924081.5633984.812973e-07
1.933951.5632514.988815e-07
1.943871.5631025.165559e-07
1.953841.5629525.343210e-07
1.963861.5628015.521772e-07
1.973931.5626495.701249e-07
1.984051.5624955.881647e-07
1.994231.5623396.062970e-07
21.5622516.165800e-07
2.004461.5621826.553825e-07
2.014741.5620247.448803e-07
2.025071.5618648.348370e-07
2.035461.5617029.252551e-07
2.045891.5615391.016137e-06
2.056391.5613741.107485e-06
2.066931.5612081.199301e-06
2.077531.561041.291588e-06
2.088191.5608711.384349e-06
2.09891.5606991.477585e-06
2.109661.5605261.571299e-06
2.120481.5603521.665495e-06
2.131361.5601751.760173e-06
2.142291.5599971.855336e-06
2.153271.5598171.950988e-06
2.164321.5596352.047130e-06
2.175421.5594512.143766e-06
2.186571.5592662.240897e-06
2.197791.5590782.338526e-06
2.21.5590412.357800e-06
2.209061.5588892.465924e-06
2.220391.5586972.601166e-06
2.231771.5585042.737102e-06
2.243221.5583092.873734e-06
2.254721.5581113.011068e-06
2.266291.5579123.149106e-06
2.277911.557713.287852e-06
2.289591.5575073.427309e-06
2.301331.5573013.567482e-06
2.313141.5570933.708373e-06
2.3251.5568833.849988e-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
—