Optical constants

Refractive index of D-ZK21-25 (CDGM)

D-ZK21-25: 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
1.62346
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.63562
Permittivity ε2
4.56148e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
58.115
Chromatic dispersion dn/dλ
-0.0555217 µm⁻¹
Group index ng
1.65608
Group velocity dispersion
95.3351 fs²/mm
Dispersion parameter D
-520.104 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-ZK21-25 (CDGM): D-ZK21-25
cdgm_d_zk21_25 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZK21-25", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zk21_25.range_nm)  # (302, 2325) nm
eps = cdgm_d_zk21_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=1.08777542λ2λ2−0.0143531981+0.505694645λ2λ2+0.000448862561+1.31533152λ2λ2−104.063333

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.08777542
C30.0143531981
C40.505694645
C5-0.000448862561
C61.31533152
C7104.063333

Comments and conditions

anneal rate:25°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.26e-06 1.53e-08 -2.43e-11 4.86e-07 2.51e-10 0.199
nd
1.623460
Vd
58.115078
glass code
623581
density
value: 2990
thermal expansion
value: 6.1e-06, temperature range: 243 343; value: 8.4e-06, temperature range: 293 573
dPgF
-0.0066
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.82e-06 K⁻¹ at 633 nm, dn/dT = 2.24e-06 K⁻¹ at 1310 nm, dn/dT = 2.19e-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-ZK21-25 (CDGM), D-ZK21-25: n and k versus wavelength
λ (µm)nk
0.3021.6712271.765180e-06
0.3035491.6704981.668209e-06
0.3051061.6697791.570740e-06
0.306671.6690691.472772e-06
0.3082431.6683691.374301e-06
0.3098241.6676781.275326e-06
0.311.6676021.264300e-06
0.3114131.6669961.198408e-06
0.313011.6663241.123923e-06
0.3146151.665661.049056e-06
0.3162291.6650049.738057e-07
0.317851.6643588.981689e-07
0.3194811.663728.221443e-07
0.321.6635197.979200e-07
0.3211191.663097.630314e-07
0.3227661.6624687.116871e-07
0.3244211.6618546.600795e-07
0.3260851.6612486.082072e-07
0.3277571.660655.560689e-07
0.3294381.660065.036632e-07
0.331.6598654.861500e-07
0.3311281.6594774.634723e-07
0.3328261.6589024.293250e-07
0.3345331.6583343.950026e-07
0.3362491.6577733.605042e-07
0.3379731.6572193.258288e-07
0.3397061.6566722.909757e-07
0.341.6565812.850700e-07
0.3414481.6561322.674549e-07
0.34321.6555992.461595e-07
0.344961.6550732.247548e-07
0.3467291.6545532.032404e-07
0.3485071.6540391.816157e-07
0.351.6536151.634600e-07
0.3502941.6535321.612168e-07
0.3520911.6530311.475274e-07
0.3538971.6525371.337677e-07
0.3557121.6520481.199375e-07
0.3575361.6515661.060364e-07
0.3593691.6510899.206395e-08
0.361.6509278.725900e-08
0.3612121.6506188.280027e-08
0.3630651.6501537.598794e-08
0.3649271.6496936.914068e-08
0.3667981.649246.225831e-08
0.368681.6487915.534063e-08
0.371.6484815.048500e-08
0.370571.6483484.933893e-08
0.3724711.6479114.552031e-08
0.3743811.6474784.168210e-08
0.3763011.6470513.782420e-08
0.3782311.6466293.394652e-08
0.381.6462483.039200e-08
0.3801711.6462123.024533e-08
0.382121.6457992.857033e-08
0.384081.6453922.688674e-08
0.386051.644992.519452e-08
0.388031.6445922.349362e-08
0.391.6442032.180100e-08
0.390021.6441992.179577e-08
0.392021.643812.126671e-08
0.394031.6434272.073493e-08
0.3960511.6430472.020044e-08
0.3980821.6426721.966319e-08
0.41.6423241.915600e-08
0.4001241.6423021.914110e-08
0.4021761.6419351.889455e-08
0.4042391.6415731.864673e-08
0.4063121.6412151.839764e-08
0.4083961.6408621.814728e-08
0.410491.6405121.789563e-08
0.4125951.6401661.764269e-08
0.4147111.6398241.738845e-08
0.4168381.6394861.713291e-08
0.4189761.6391521.687606e-08
0.421.6389941.675300e-08
0.4211251.6388221.660012e-08
0.4232841.6384961.630650e-08
0.4254551.6381731.601138e-08
0.4276371.6378541.571474e-08
0.429831.6375381.541658e-08
0.4320351.6372261.511690e-08
0.434251.6369171.481567e-08
0.4364771.6366121.451290e-08
0.4387161.636311.420858e-08
0.441.6361391.403400e-08
0.4409661.6360121.388739e-08
0.4432271.6357171.354410e-08
0.44551.6354251.319904e-08
0.4477851.6351361.285221e-08
0.4500821.6348511.250361e-08
0.452391.6345691.215322e-08
0.454711.6342891.180103e-08
0.4570421.6340131.144703e-08
0.4593861.633741.109122e-08
0.461.6336691.099800e-08
0.4617421.633471.103963e-08
0.464111.6332021.109623e-08
0.466491.6329381.115311e-08
0.4688831.6326761.121029e-08
0.4712871.6324171.126776e-08
0.4737041.6321611.132553e-08
0.4761341.6319081.138359e-08
0.4785751.6316581.144195e-08
0.481.6315131.147600e-08
0.481031.631411.150066e-08
0.4834971.6311641.155975e-08
0.4859761.6309221.161913e-08
0.4884691.6306811.167883e-08
0.4909741.6304441.173882e-08
0.4934921.6302081.179913e-08
0.4960231.6299761.185974e-08
0.4985671.6297451.192067e-08
0.51.6296171.195500e-08
0.5011231.6295181.198185e-08
0.5036931.6292921.204327e-08
0.5062771.6290691.210501e-08
0.5088731.6288481.216707e-08
0.5114831.6286291.222944e-08
0.5141061.6284131.229213e-08
0.5167431.6281981.235515e-08
0.5193931.6279861.241849e-08
0.5220561.6277761.248215e-08
0.5247341.6275691.254614e-08
0.5274251.6273631.261046e-08
0.530131.6271591.267510e-08
0.5328491.6269571.274008e-08
0.5355811.6267581.280540e-08
0.5383281.626561.287104e-08
0.5410891.6263641.293703e-08
0.5438641.6261711.300335e-08
0.5466531.6259791.307001e-08
0.5494571.6257891.313701e-08
0.551.6257521.315000e-08
0.5522751.6256011.320436e-08
0.5551071.6254141.327206e-08
0.5579541.625231.334010e-08
0.5608151.6250471.340848e-08
0.5636911.6248661.347722e-08
0.5665821.6246871.354632e-08
0.5694881.6245091.361576e-08
0.5724091.6243331.368557e-08
0.5753441.6241591.375573e-08
0.5782951.6239861.382625e-08
0.5812611.6238151.389713e-08
0.5842421.6236461.396838e-08
0.5872381.6234781.403999e-08
0.590251.6233121.411197e-08
0.5932771.6231471.418432e-08
0.5963191.6229841.425703e-08
0.5993781.6228221.433013e-08
0.61.6227891.434500e-08
0.6024521.6226621.414937e-08
0.6055411.6225031.390281e-08
0.6086471.6223451.365499e-08
0.6117681.6221891.340590e-08
0.6149061.6220341.315553e-08
0.6180591.6218811.290387e-08
0.6212291.6217291.265093e-08
0.6244151.6215781.239669e-08
0.6276171.6214291.214114e-08
0.6308361.6212811.188429e-08
0.6340711.6211341.162611e-08
0.6373231.6209891.136662e-08
0.6405921.6208441.110579e-08
0.6438771.6207011.084362e-08
0.6471791.6205591.058011e-08
0.651.620441.035500e-08
0.6504981.6204191.036294e-08
0.6538341.6202791.041612e-08
0.6571871.6201411.046957e-08
0.6605581.6200031.052329e-08
0.6639451.6198671.057729e-08
0.6673511.6197321.063157e-08
0.6707731.6195981.068612e-08
0.6742131.6194651.074096e-08
0.6776711.6193331.079607e-08
0.6811461.6192021.085147e-08
0.684641.6190731.090715e-08
0.6881511.6189441.096312e-08
0.691681.6188161.101938e-08
0.6952271.6186891.107592e-08
0.6987931.6185631.113276e-08
0.71.6185211.115200e-08
0.7023761.6184381.118986e-08
0.7059791.6183141.124724e-08
0.7095991.6181911.130492e-08
0.7132381.6180681.136289e-08
0.7168961.6179471.142116e-08
0.7205731.6178261.147973e-08
0.7242681.6177071.153860e-08
0.7279831.6175881.159777e-08
0.7317161.617471.165724e-08
0.7354691.6173521.171702e-08
0.7392411.6172361.177711e-08
0.7430321.617121.183750e-08
0.7468431.6170051.189820e-08
0.7506731.6168911.195922e-08
0.7545231.6167781.202055e-08
0.7583921.6166651.208219e-08
0.7622821.6165531.214415e-08
0.7661911.6164421.220642e-08
0.770121.6163311.226902e-08
0.774071.6162211.233194e-08
0.778041.6161121.239517e-08
0.782031.6160031.245874e-08
0.7860411.6158951.252263e-08
0.7900721.6157881.258685e-08
0.7941241.6156811.265139e-08
0.7981961.6155751.271627e-08
0.81.6155281.274500e-08
0.802291.6154691.278150e-08
0.8064051.6153641.284709e-08
0.810541.615261.291301e-08
0.8146971.6151561.297927e-08
0.8188751.6150521.304587e-08
0.8230751.614951.311281e-08
0.8272961.6148471.318010e-08
0.8315391.6147451.324773e-08
0.8358031.6146441.331571e-08
0.840091.6145431.338403e-08
0.8443981.6144431.345271e-08
0.8487291.6143431.352174e-08
0.851.6143131.354200e-08
0.8530821.6142431.359106e-08
0.8574571.6141441.366071e-08
0.8618541.6140451.373072e-08
0.8662741.6139471.380108e-08
0.8707171.6138491.387181e-08
0.8751821.6137521.394290e-08
0.8796711.6136541.401436e-08
0.8841821.6135581.408618e-08
0.8887171.6134611.415837e-08
0.8932741.6133651.423093e-08
0.8978561.6132691.430386e-08
0.91.6132251.433800e-08
0.902461.6131741.437722e-08
0.9070881.6130791.445099e-08
0.9117411.6129841.452514e-08
0.9164161.612891.459968e-08
0.9211161.6127951.467459e-08
0.925841.6127011.474989e-08
0.9305881.6126081.482558e-08
0.9353611.6125141.490165e-08
0.9401581.6124211.497812e-08
0.944981.6123281.505497e-08
0.9498261.6122351.513222e-08
0.951.6122321.513500e-08
0.9546971.6121421.520978e-08
0.9595931.612051.528772e-08
0.9645151.6119581.536607e-08
0.9694611.6118661.544482e-08
0.9744331.6117741.552397e-08
0.979431.6116821.560353e-08
0.9844531.611591.568350e-08
0.9895021.6114991.576387e-08
0.9945771.6114071.584466e-08
0.9996781.6113161.592587e-08
11.611311.593100e-08
1.00481.6112251.600755e-08
1.009961.6111341.608966e-08
1.015141.6110431.617219e-08
1.020341.6109521.625514e-08
1.025581.6108611.633851e-08
1.030841.610771.642232e-08
1.036121.6106791.650655e-08
1.041441.6105891.659122e-08
1.046781.6104981.667632e-08
1.052151.6104071.676185e-08
1.057541.6103161.684783e-08
1.061.6102751.688700e-08
1.062971.6102261.693425e-08
1.068421.6101351.702113e-08
1.07391.6100441.710844e-08
1.07941.6099531.719621e-08
1.084941.6098621.728443e-08
1.09051.6097711.737309e-08
1.09611.609681.746222e-08
1.101721.6095891.755180e-08
1.107371.6094981.764184e-08
1.113051.6094071.773234e-08
1.118761.6093151.782330e-08
1.124491.6092241.791474e-08
1.130261.6091321.800664e-08
1.136061.609041.809901e-08
1.141881.6089481.819185e-08
1.147741.6088561.828518e-08
1.153621.6087631.837898e-08
1.159541.6086711.847326e-08
1.165491.6085781.856802e-08
1.171471.6084851.866328e-08
1.177471.6083921.875902e-08
1.183511.6082991.885525e-08
1.189581.6082051.895197e-08
1.195681.6081111.904919e-08
1.21.6080451.911800e-08
1.201811.6080171.955275e-08
1.207981.6079222.102978e-08
1.214171.6078282.251438e-08
1.22041.6077332.400660e-08
1.226661.6076372.550646e-08
1.232951.6075422.701402e-08
1.239271.6074462.852932e-08
1.245631.6073493.005238e-08
1.252021.6072533.158325e-08
1.258441.6071563.312198e-08
1.264891.6070583.466860e-08
1.271381.6069613.622314e-08
1.27791.6068623.778566e-08
1.284451.6067643.935620e-08
1.291041.6066654.093479e-08
1.297661.6065654.252147e-08
1.304321.6064664.411629e-08
1.311011.6063654.571930e-08
1.317731.6062654.733052e-08
1.324491.6061634.895000e-08
1.331281.6060625.057779e-08
1.338111.6059595.221393e-08
1.344971.6058575.385846e-08
1.351871.6057535.551143e-08
1.35881.605655.717287e-08
1.365771.6055455.884283e-08
1.372771.6054416.052136e-08
1.379811.6053356.220849e-08
1.386891.6052296.390428e-08
1.3941.6051226.560876e-08
1.41.6050336.704600e-08
1.401151.6050156.702744e-08
1.408341.6049076.691160e-08
1.415561.6047996.679517e-08
1.422821.604696.667814e-08
1.430121.604586.656052e-08
1.437451.604476.644229e-08
1.444821.6043596.632345e-08
1.452231.6042476.620400e-08
1.459681.6041346.608395e-08
1.467171.6040216.596327e-08
1.474691.6039076.584198e-08
1.482251.6037926.572006e-08
1.489861.6036776.559752e-08
1.49751.6035616.547435e-08
1.505181.6034446.535055e-08
1.51291.6033266.522612e-08
1.520651.6032076.510104e-08
1.528451.6030886.497533e-08
1.536291.6029686.484897e-08
1.544171.6028466.472196e-08
1.552091.6027246.459430e-08
1.560051.6026016.446599e-08
1.568051.6024786.433702e-08
1.576091.6023536.420738e-08
1.584181.6022276.407708e-08
1.59231.6021016.394612e-08
1.61.601986.382200e-08
1.600471.6019736.404271e-08
1.608671.6018446.792584e-08
1.616921.6017157.182888e-08
1.625221.6015847.575194e-08
1.633551.6014537.969513e-08
1.641931.601328.365853e-08
1.650351.6011868.764226e-08
1.658811.6010529.164642e-08
1.667321.6009169.567112e-08
1.675871.6007799.971646e-08
1.684471.6006411.037825e-07
1.693111.6005021.078695e-07
1.701791.6003611.119774e-07
1.710521.600221.161063e-07
1.719291.6000771.202565e-07
1.728111.5999331.244279e-07
1.736971.5997881.286207e-07
1.745881.5996411.328350e-07
1.754831.5994941.370710e-07
1.763831.5993451.413286e-07
1.772881.5991941.456081e-07
1.781971.5990431.499096e-07
1.791111.598891.542331e-07
1.81.5987411.584400e-07
1.800291.5987361.588704e-07
1.809531.598581.724219e-07
1.818811.5984231.860429e-07
1.828131.5982641.997338e-07
1.837511.5981052.134948e-07
1.846931.5979432.273264e-07
1.856411.597782.412290e-07
1.865931.5976162.552029e-07
1.87551.597452.692484e-07
1.885111.5972832.833660e-07
1.894781.5971142.975559e-07
1.90451.5969433.118187e-07
1.914271.5967713.261546e-07
1.924081.5965973.405640e-07
1.933951.5964223.550473e-07
1.943871.5962453.696049e-07
1.953841.5960663.842371e-07
1.963861.5958853.989444e-07
1.973931.5957034.137271e-07
1.984051.5955194.285856e-07
1.994231.5953334.435204e-07
21.5952274.519900e-07
2.004461.5951464.774282e-07
2.014741.5949565.361012e-07
2.025071.5947655.950751e-07
2.035461.5945716.543514e-07
2.045891.5943767.139317e-07
2.056391.5941797.738176e-07
2.066931.593988.340106e-07
2.077531.5937798.945123e-07
2.088191.5935769.553243e-07
2.09891.5933711.016448e-06
2.109661.5931631.077886e-06
2.120481.5929541.139638e-06
2.131361.5927431.201707e-06
2.142291.5925291.264095e-06
2.153271.5923131.326802e-06
2.164321.5920951.389831e-06
2.175421.5918751.453183e-06
2.186571.5916521.516860e-06
2.197791.5914271.580864e-06
2.21.5913821.593500e-06
2.209061.59121.812705e-06
2.220391.590972.086888e-06
2.231771.5907382.362477e-06
2.243221.5905032.639480e-06
2.254721.5902662.917904e-06
2.266291.5900273.197755e-06
2.277911.5897853.479041e-06
2.289591.589543.761771e-06
2.301331.5892934.045950e-06
2.313141.5890434.331586e-06
2.3251.588794.618687e-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
—