Optical constants

Refractive index of D-ZK2L-25 (CDGM)

D-ZK2L-25: 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
1.58625
Extinction coefficient k
2.34385e-08
Permittivity ε1
2.51618
Permittivity ε2
7.43585e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
59.525
Chromatic dispersion dn/dλ
-0.0509434 µm⁻¹
Group index ng
1.61618
Group velocity dispersion
88.1498 fs²/mm
Dispersion parameter D
-480.904 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-25 (CDGM): D-ZK2L-25
cdgm_d_zk2l_25 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZK2L-25", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zk2l_25.range_nm)  # (302, 2325) nm
eps = cdgm_d_zk2l_25.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=0.530248488λ2λ2−0.0175027403+1.12537335λ2λ2−109.192004+0.947317341λ2λ2−0.00498306497

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.530248488
C30.0175027403
C41.12537335
C5109.192004
C60.947317341
C70.00498306497

Comments and conditions

anneal rate:25°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
1.586250
Vd
59.524868
glass code
586595
density
value: 2990
thermal expansion
value: 9e-06, temperature range: 293 573
dPgF
-0.0035

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-25 (CDGM), D-ZK2L-25: n and k versus wavelength
λ (µm)nk
0.3021.6301225.803900e-06
0.3035491.6294535.382159e-06
0.3051061.6287934.958254e-06
0.306671.6281424.532176e-06
0.3082431.6274994.103913e-06
0.3098241.6268653.673453e-06
0.311.6267953.625500e-06
0.3114131.6262393.392651e-06
0.313011.6256223.129435e-06
0.3146151.6250132.864870e-06
0.3162291.6244112.598947e-06
0.317851.6238182.331661e-06
0.3194811.6232322.063004e-06
0.321.6230481.977400e-06
0.3211191.6226541.878230e-06
0.3227661.6220841.732285e-06
0.3244211.621521.585591e-06
0.3260851.6209651.438145e-06
0.3277571.6204161.289943e-06
0.3294381.6198741.140981e-06
0.331.6196951.091200e-06
0.3311281.6193391.032434e-06
0.3328261.6188119.439463e-07
0.3345331.618298.550047e-07
0.3362491.6177757.656069e-07
0.3379731.6172676.757507e-07
0.3397061.6167655.854337e-07
0.341.6166815.701300e-07
0.3414481.6162695.309512e-07
0.34321.615784.835868e-07
0.344961.6152964.359795e-07
0.3467291.6148193.881280e-07
0.3485071.6143483.400311e-07
0.351.6139582.996500e-07
0.3502941.6138822.956891e-07
0.3520911.6134232.715173e-07
0.3538971.6129682.472216e-07
0.3557121.612522.228013e-07
0.3575361.6120771.982557e-07
0.3593691.6116391.735842e-07
0.361.611491.651000e-07
0.3612121.6112071.563241e-07
0.3630651.610781.429159e-07
0.3649271.6103581.294388e-07
0.3667981.6099411.158927e-07
0.368681.6095291.022770e-07
0.371.6092449.272000e-08
0.370571.6091229.109208e-08
0.3724711.6087218.566793e-08
0.3743811.6083238.021596e-08
0.3763011.6079317.473604e-08
0.3782311.6075436.922801e-08
0.381.6071946.417900e-08
0.3801711.607166.388409e-08
0.382121.6067826.051615e-08
0.384081.6064075.713095e-08
0.386051.6060385.372838e-08
0.388031.6056725.030837e-08
0.391.6053154.690500e-08
0.390021.6053114.688822e-08
0.392021.6049544.519264e-08
0.394031.6046024.348835e-08
0.3960511.6042534.177533e-08
0.3980821.6039084.005352e-08
0.41.6035883.842800e-08
0.4001241.6035683.837708e-08
0.4021761.6032313.753451e-08
0.4042391.6028993.668762e-08
0.4063121.602573.583639e-08
0.4083961.6022443.498079e-08
0.410491.6019233.412081e-08
0.4125951.6016053.325641e-08
0.4147111.6012913.238758e-08
0.4168381.6009813.151429e-08
0.4189761.6006743.063653e-08
0.421.6005283.021600e-08
0.4211251.600373.029691e-08
0.4232841.600073.045230e-08
0.4254551.5997733.060850e-08
0.4276371.599483.076549e-08
0.429831.599193.092328e-08
0.4320351.5989033.108189e-08
0.434251.5986193.124131e-08
0.4364771.5983383.140155e-08
0.4387161.5980613.156260e-08
0.441.5979043.165500e-08
0.4409661.5977873.154620e-08
0.4432271.5975153.129145e-08
0.44551.5972473.103538e-08
0.4477851.5969823.077800e-08
0.4500821.5967193.051931e-08
0.452391.596463.025928e-08
0.454711.5962032.999792e-08
0.4570421.5959492.973522e-08
0.4593861.5956982.947118e-08
0.461.5956322.940200e-08
0.4617421.5954492.917817e-08
0.464111.5952032.887388e-08
0.466491.594962.856802e-08
0.4688831.594722.826060e-08
0.4712871.5944822.795160e-08
0.4737041.5942462.764101e-08
0.4761341.5940132.732884e-08
0.4785751.5937832.701506e-08
0.481.593652.683200e-08
0.481031.5935552.668335e-08
0.4834971.5933292.632724e-08
0.4859761.5931062.596931e-08
0.4884691.5928852.560954e-08
0.4909741.5926672.524792e-08
0.4934921.592452.488445e-08
0.4960231.5922362.451912e-08
0.4985671.5920252.415192e-08
0.51.5919072.394500e-08
0.5011231.5918152.389993e-08
0.5036931.5916082.379682e-08
0.5062771.5914032.369318e-08
0.5088731.5911992.358901e-08
0.5114831.5909982.348431e-08
0.5141061.5907992.337906e-08
0.5167431.5906022.327328e-08
0.5193931.5904082.316696e-08
0.5220561.5902152.306009e-08
0.5247341.5900242.295268e-08
0.5274251.5898342.284471e-08
0.530131.5896472.273619e-08
0.5328491.5894622.262711e-08
0.5355811.5892792.251747e-08
0.5383281.5890972.240728e-08
0.5410891.5889172.229651e-08
0.5438641.5887392.218518e-08
0.5466531.5885632.207328e-08
0.5494571.5883882.196080e-08
0.551.5883552.193900e-08
0.5522751.5882152.202971e-08
0.5551071.5880442.214266e-08
0.5579541.5878752.225620e-08
0.5608151.5877072.237031e-08
0.5636911.5875412.248501e-08
0.5665821.5873762.260030e-08
0.5694881.5872132.271618e-08
0.5724091.5870512.283266e-08
0.5753441.5868912.294973e-08
0.5782951.5867332.306740e-08
0.5812611.5865762.318568e-08
0.5842421.5864212.330456e-08
0.5872381.5862672.342405e-08
0.590251.5861142.354416e-08
0.5932771.5859632.366488e-08
0.5963191.5858132.378622e-08
0.5993781.5856652.390818e-08
0.61.5856352.393300e-08
0.6024521.5855182.403082e-08
0.6055411.5853722.415410e-08
0.6086471.5852282.427801e-08
0.6117681.5850842.440255e-08
0.6149061.5849432.452774e-08
0.6180591.5848022.465356e-08
0.6212291.5846632.478004e-08
0.6244151.5845252.490716e-08
0.6276171.5843882.503493e-08
0.6308361.5842532.516336e-08
0.6340711.5841182.529244e-08
0.6373231.5839852.542219e-08
0.6405921.5838532.555261e-08
0.6438771.5837222.568369e-08
0.6471791.5835922.581544e-08
0.651.5834822.592800e-08
0.6504981.5834632.589212e-08
0.6538341.5833352.565178e-08
0.6571871.5832092.541022e-08
0.6605581.5830832.516742e-08
0.6639451.5829592.492337e-08
0.6673511.5828352.467807e-08
0.6707731.5827132.443151e-08
0.6742131.5825912.418369e-08
0.6776711.5824712.393459e-08
0.6811461.5823512.368422e-08
0.684641.5822332.343257e-08
0.6881511.5821152.317962e-08
0.691681.5819992.292538e-08
0.6952271.5818832.266983e-08
0.6987931.5817682.241297e-08
0.71.5817292.232600e-08
0.7023761.5816542.224998e-08
0.7059791.5815412.213474e-08
0.7095991.5814282.201892e-08
0.7132381.5813172.190250e-08
0.7168961.5812062.178549e-08
0.7205731.5810972.166787e-08
0.7242681.5809882.154965e-08
0.7279831.5808792.143083e-08
0.7317161.5807722.131140e-08
0.7354691.5806652.119135e-08
0.7392411.5805592.107069e-08
0.7430321.5804542.094941e-08
0.7468431.580352.082751e-08
0.7506731.5802462.070498e-08
0.7545231.5801432.058182e-08
0.7583921.5800412.045803e-08
0.7622821.5799392.033361e-08
0.7661911.5798382.020855e-08
0.770121.5797382.008285e-08
0.774071.5796381.995650e-08
0.778041.5795391.982951e-08
0.782031.579441.970186e-08
0.7860411.5793431.957356e-08
0.7900721.5792451.944460e-08
0.7941241.5791491.931498e-08
0.7981961.5790531.918469e-08
0.81.579011.912700e-08
0.802291.5789571.887120e-08
0.8064051.5788621.841161e-08
0.810541.5787681.794965e-08
0.8146971.5786741.748533e-08
0.8188751.578581.701863e-08
0.8230751.5784871.654953e-08
0.8272961.5783951.607803e-08
0.8315391.5783031.560411e-08
0.8358031.5782121.512776e-08
0.840091.5781211.464896e-08
0.8443981.578031.416771e-08
0.8487291.577941.368399e-08
0.851.5779141.354200e-08
0.8530821.5778511.359106e-08
0.8574571.5777621.366071e-08
0.8618541.5776731.373072e-08
0.8662741.5775851.380108e-08
0.8707171.5774971.387181e-08
0.8751821.5774091.394290e-08
0.8796711.5773221.401436e-08
0.8841821.5772351.408618e-08
0.8887171.5771491.415837e-08
0.8932741.5770631.423093e-08
0.8978561.5769771.430386e-08
0.91.5769371.433800e-08
0.902461.5768911.437722e-08
0.9070881.5768061.445099e-08
0.9117411.5767211.452514e-08
0.9164161.5766371.459968e-08
0.9211161.5765531.467459e-08
0.925841.5764691.474989e-08
0.9305881.5763851.482558e-08
0.9353611.5763021.490165e-08
0.9401581.5762181.497812e-08
0.944981.5761361.505497e-08
0.9498261.5760531.513222e-08
0.951.576051.513500e-08
0.9546971.575971.520978e-08
0.9595931.5758881.528772e-08
0.9645151.5758061.536607e-08
0.9694611.5757241.544482e-08
0.9744331.5756431.552397e-08
0.979431.5755611.560353e-08
0.9844531.575481.568350e-08
0.9895021.5753991.576387e-08
0.9945771.5753181.584466e-08
0.9996781.5752371.592587e-08
11.5752321.593100e-08
1.00481.5751561.600755e-08
1.009961.5750751.608966e-08
1.015141.5749951.617219e-08
1.020341.5749141.625514e-08
1.025581.5748341.633851e-08
1.030841.5747541.642232e-08
1.036121.5746741.650655e-08
1.041441.5745941.659122e-08
1.046781.5745141.667632e-08
1.052151.5744341.676185e-08
1.057541.5743541.684783e-08
1.061.5743181.688700e-08
1.062971.5742741.693425e-08
1.068421.5741941.702113e-08
1.07391.5741141.710844e-08
1.07941.5740341.719621e-08
1.084941.5739551.728443e-08
1.09051.5738751.737309e-08
1.09611.5737951.746222e-08
1.101721.5737151.755180e-08
1.107371.5736351.764184e-08
1.113051.5735551.773234e-08
1.118761.5734751.782330e-08
1.124491.5733951.791474e-08
1.130261.5733151.800664e-08
1.136061.5732341.809901e-08
1.141881.5731541.819185e-08
1.147741.5730741.828518e-08
1.153621.5729931.837898e-08
1.159541.5729121.847326e-08
1.165491.5728321.856802e-08
1.171471.5727511.866328e-08
1.177471.572671.875902e-08
1.183511.5725881.885525e-08
1.189581.5725071.895197e-08
1.195681.5724251.904919e-08
1.21.5723681.911800e-08
1.201811.5723441.914690e-08
1.207981.5722621.924509e-08
1.214171.5721791.934377e-08
1.22041.5720971.944297e-08
1.226661.5720141.954267e-08
1.232951.5719321.964289e-08
1.239271.5718491.974361e-08
1.245631.5717651.984486e-08
1.252021.5716821.994662e-08
1.258441.5715982.004891e-08
1.264891.5715142.015172e-08
1.271381.5714292.025506e-08
1.27791.5713452.035893e-08
1.284451.571262.046333e-08
1.291041.5711742.056826e-08
1.297661.5710892.067374e-08
1.304321.5710032.077975e-08
1.311011.5709162.088631e-08
1.317731.570832.099342e-08
1.324491.5707432.110107e-08
1.331281.5706552.120928e-08
1.338111.5705682.131804e-08
1.344971.5704792.142736e-08
1.351871.5703912.153724e-08
1.35881.5703022.164769e-08
1.365771.5702122.175870e-08
1.372771.5701232.187028e-08
1.379811.5700322.198243e-08
1.386891.5699422.209515e-08
1.3941.569852.220846e-08
1.41.5697732.230400e-08
1.401151.5697592.239585e-08
1.408341.5696662.296896e-08
1.415561.5695742.354500e-08
1.422821.5694812.412400e-08
1.430121.5693872.470597e-08
1.437451.5692932.529092e-08
1.444821.5691982.587888e-08
1.452231.5691032.646984e-08
1.459681.5690072.706384e-08
1.467171.568912.766089e-08
1.474691.5688132.826100e-08
1.482251.5687162.886418e-08
1.489861.5686172.947046e-08
1.49751.5685183.007985e-08
1.505181.5684193.069236e-08
1.51291.5683193.130802e-08
1.520651.5682183.192683e-08
1.528451.5681173.254881e-08
1.536291.5680143.317399e-08
1.544171.5679123.380237e-08
1.552091.5678083.443397e-08
1.560051.5677043.506882e-08
1.568051.5675993.570692e-08
1.576091.5674933.634829e-08
1.584181.5673873.699295e-08
1.59231.567283.764092e-08
1.61.5671783.825500e-08
1.600471.5671723.877266e-08
1.608671.5670634.788048e-08
1.616921.5669535.703501e-08
1.625221.5668436.623649e-08
1.633551.5667317.548516e-08
1.641931.5666198.478127e-08
1.650351.5665069.412504e-08
1.658811.5663931.035167e-07
1.667321.5662781.129566e-07
1.675871.5661621.224449e-07
1.684471.5660461.319818e-07
1.693111.5659281.415677e-07
1.701791.565811.512027e-07
1.710521.5656911.608871e-07
1.719291.5655711.706212e-07
1.728111.5654491.804052e-07
1.736971.5653271.902394e-07
1.745881.5652042.001240e-07
1.754831.5650792.100593e-07
1.763831.5649542.200456e-07
1.772881.5648282.300830e-07
1.781971.56472.401720e-07
1.791111.5645722.503127e-07
1.81.5644462.601800e-07
1.800291.5644422.607026e-07
1.809531.5643112.771555e-07
1.818811.5641792.936928e-07
1.828131.5640463.103149e-07
1.837511.5639123.270222e-07
1.846931.5637763.438153e-07
1.856411.563643.606944e-07
1.865931.5635023.776601e-07
1.87551.5633623.947128e-07
1.885111.5632224.118530e-07
1.894781.563084.290811e-07
1.90451.5629374.463975e-07
1.914271.5627934.638028e-07
1.924081.5626484.812973e-07
1.933951.5625014.988815e-07
1.943871.5623525.165559e-07
1.953841.5622025.343210e-07
1.963861.5620515.521772e-07
1.973931.5618995.701249e-07
1.984051.5617455.881647e-07
1.994231.5615896.062970e-07
21.5615016.165800e-07
2.004461.5614326.553825e-07
2.014741.5612747.448803e-07
2.025071.5611148.348370e-07
2.035461.5609529.252551e-07
2.045891.5607891.016137e-06
2.056391.5606241.107485e-06
2.066931.5604581.199301e-06
2.077531.560291.291588e-06
2.088191.5601211.384349e-06
2.09891.5599491.477585e-06
2.109661.5597761.571299e-06
2.120481.5596011.665495e-06
2.131361.5594251.760173e-06
2.142291.5592471.855336e-06
2.153271.5590671.950988e-06
2.164321.5588852.047130e-06
2.175421.5587012.143766e-06
2.186571.5585152.240897e-06
2.197791.5583282.338526e-06
2.21.5582912.357800e-06
2.209061.5581382.465924e-06
2.220391.5579472.601166e-06
2.231771.5577542.737102e-06
2.243221.5575582.873734e-06
2.254721.5573613.011068e-06
2.266291.5571623.149106e-06
2.277911.556963.287852e-06
2.289591.5567563.427309e-06
2.301331.5565513.567482e-06
2.313141.5563433.708373e-06
2.3251.5561323.849988e-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
—