Optical constants

Refractive index of H-ZK9B (CDGM)

H-ZK9B: 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
1.62041
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.62572
Permittivity ε2
3.03384e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
60.339
Chromatic dispersion dn/dλ
-0.0531714 µm⁻¹
Group index ng
1.65165
Group velocity dispersion
92.1452 fs²/mm
Dispersion parameter D
-502.701 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-ZK9B (CDGM): H-ZK9B
cdgm_h_zk9b = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZK9B", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zk9b.range_nm)  # (302, 2325) nm
eps = cdgm_h_zk9b.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=0.874918734λ2λ2−0.00373965378+0.7096273λ2λ2−0.0163972089+1.09453882λ2λ2−100.204324

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.874918734
C30.00373965378
C40.7096273
C50.0163972089
C61.09453882
C7100.204324

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -9.86e-07 1.83e-08 -3.36e-11 3.65e-07 9.55e-11 0.222
nd
1.620410
Vd
60.339343
glass code
620603
glass status
standard
density
value: 3580
thermal expansion
value: 6.2e-06, temperature range: 243 343; value: 7.7e-06, temperature range: 293 573
dPgF
-0.0016
resistance
climatic: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.64e-08 K⁻¹ at 633 nm, dn/dT = -3.76e-07 K⁻¹ at 1310 nm, dn/dT = -4.06e-07 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
H-ZK9B (CDGM), H-ZK9B: n and k versus wavelength
λ (µm)nk
0.3021.6662844.884020e-06
0.3035491.6655844.585502e-06
0.3051061.6648934.285453e-06
0.306671.6642123.983865e-06
0.3082431.6635393.680731e-06
0.3098241.6628763.376042e-06
0.311.6628023.342100e-06
0.3114131.6622213.156397e-06
0.313011.6615752.946476e-06
0.3146151.6609372.735479e-06
0.3162291.6603082.523399e-06
0.317851.6596872.310232e-06
0.3194811.6590742.095971e-06
0.321.6588812.027700e-06
0.3211191.6584691.934248e-06
0.3227661.6578721.796718e-06
0.3244211.6572831.658484e-06
0.3260851.6567011.519540e-06
0.3277571.6561271.379883e-06
0.3294381.655561.239511e-06
0.331.6553731.192600e-06
0.3311281.6551.135090e-06
0.3328261.6544481.048494e-06
0.3345331.6539029.614543e-07
0.3362491.6533638.739678e-07
0.3379731.6528327.860326e-07
0.3397061.6523076.976465e-07
0.341.6522186.826700e-07
0.3414481.6517886.381187e-07
0.34321.6512765.842594e-07
0.344961.650775.301239e-07
0.3467291.6502714.757107e-07
0.3485071.6497784.210185e-07
0.351.6493713.751000e-07
0.3502941.6492913.699969e-07
0.3520911.648813.388548e-07
0.3538971.6483353.075529e-07
0.3557121.6478662.760905e-07
0.3575361.6474022.444667e-07
0.3593691.6469442.126808e-07
0.361.6467892.017500e-07
0.3612121.6464921.900072e-07
0.3630651.6460451.720659e-07
0.3649271.6456041.540326e-07
0.3667981.6451681.359068e-07
0.368681.6447371.176881e-07
0.371.6444391.049000e-07
0.370571.6443121.024013e-07
0.3724711.6438919.407567e-08
0.3743811.6434768.570737e-08
0.3763011.6430667.729615e-08
0.3782311.642666.884179e-08
0.381.6422946.109200e-08
0.3801711.6422596.074232e-08
0.382121.6418635.674892e-08
0.384081.6414725.273504e-08
0.386051.6410864.870057e-08
0.388031.6407044.464542e-08
0.391.640334.061000e-08
0.390021.6403264.058023e-08
0.392021.6399533.757130e-08
0.394031.6395843.454693e-08
0.3960511.6392193.150705e-08
0.3980821.6388592.845159e-08
0.41.6385252.556700e-08
0.4001241.6385032.551235e-08
0.4021761.6381512.460801e-08
0.4042391.6378032.369904e-08
0.4063121.6374592.278541e-08
0.4083961.6371192.186709e-08
0.410491.6367832.094406e-08
0.4125951.6364512.001629e-08
0.4147111.6361231.908377e-08
0.4168381.6357981.814647e-08
0.4189761.6354771.720436e-08
0.421.6353251.675300e-08
0.4211251.635161.660012e-08
0.4232841.6348461.630650e-08
0.4254551.6345361.601138e-08
0.4276371.6342291.571474e-08
0.429831.6339261.541658e-08
0.4320351.6336261.511690e-08
0.434251.633331.481567e-08
0.4364771.6330361.451290e-08
0.4387161.6327461.420858e-08
0.441.6325821.403400e-08
0.4409661.632461.371019e-08
0.4432271.6321761.295197e-08
0.44551.6318961.218986e-08
0.4477851.6316181.142384e-08
0.4500821.6313441.065389e-08
0.452391.6310739.879987e-09
0.454711.6308059.102119e-09
0.4570421.6305398.320262e-09
0.4593861.6302777.534395e-09
0.461.6302097.328500e-09
0.4617421.6300177.356248e-09
0.464111.629767.393971e-09
0.466491.6295067.431887e-09
0.4688831.6292557.469998e-09
0.4712871.6290067.508305e-09
0.4737041.628767.546808e-09
0.4761341.6285177.585508e-09
0.4785751.6282767.624407e-09
0.481.6281377.647100e-09
0.481031.6280387.663505e-09
0.4834971.6278027.702804e-09
0.4859761.6275697.742304e-09
0.4884691.6273387.782007e-09
0.4909741.627117.821914e-09
0.4934921.6268847.862025e-09
0.4960231.6266617.902342e-09
0.4985671.626447.942866e-09
0.51.6263177.965700e-09
0.5011231.6262217.983599e-09
0.5036931.6260048.024545e-09
0.5062771.625798.065700e-09
0.5088731.6255788.107067e-09
0.5114831.6253688.148646e-09
0.5141061.625168.190438e-09
0.5167431.6249548.232444e-09
0.5193931.6247518.274666e-09
0.5220561.6245498.317104e-09
0.5247341.624358.359760e-09
0.5274251.6241528.402635e-09
0.530131.6239578.445729e-09
0.5328491.6237638.489045e-09
0.5355811.6235728.532583e-09
0.5383281.6233828.576344e-09
0.5410891.6231948.620329e-09
0.5438641.6230088.664540e-09
0.5466531.6228248.708978e-09
0.5494571.6226428.753644e-09
0.551.6226078.762300e-09
0.5522751.6224628.798538e-09
0.5551071.6222838.843663e-09
0.5579541.6221068.889020e-09
0.5608151.6219318.934609e-09
0.5636911.6217578.980431e-09
0.5665821.6215859.026489e-09
0.5694881.6214159.072783e-09
0.5724091.6212479.119315e-09
0.5753441.621089.166085e-09
0.5782951.6209149.213095e-09
0.5812611.620759.260346e-09
0.5842421.6205889.307839e-09
0.5872381.6204279.355576e-09
0.590251.6202689.403558e-09
0.5932771.620119.451786e-09
0.5963191.6199549.500261e-09
0.5993781.6197999.548985e-09
0.61.6197689.558900e-09
0.6024521.6196469.852210e-09
0.6055411.6194941.022187e-08
0.6086471.6193431.059342e-08
0.6117681.6191941.096687e-08
0.6149061.6190461.134225e-08
0.6180591.6188991.171954e-08
0.6212291.6187541.209878e-08
0.6244151.618611.247995e-08
0.6276171.6184671.286309e-08
0.6308361.6183261.324818e-08
0.6340711.6181851.363525e-08
0.6373231.6180461.402431e-08
0.6405921.6179081.441536e-08
0.6438771.6177721.480842e-08
0.6471791.6176361.520350e-08
0.651.6175221.554100e-08
0.6504981.6175021.566434e-08
0.6538341.6173691.649043e-08
0.6571871.6172371.732075e-08
0.6605581.6171061.815532e-08
0.6639451.6169761.899418e-08
0.6673511.6168471.983734e-08
0.6707731.6167192.068482e-08
0.6742131.6165932.153665e-08
0.6776711.6164672.239285e-08
0.6811461.6163422.325344e-08
0.684641.6162192.411845e-08
0.6881511.6160962.498789e-08
0.691681.6159742.586178e-08
0.6952271.6158532.674016e-08
0.6987931.6157342.762305e-08
0.71.6156932.792200e-08
0.7023761.6156152.756132e-08
0.7059791.6154972.701462e-08
0.7095991.615382.646512e-08
0.7132381.6152632.591280e-08
0.7168961.6151482.535765e-08
0.7205731.6150332.479965e-08
0.7242681.614922.423879e-08
0.7279831.6148072.367505e-08
0.7317161.6146952.310842e-08
0.7354691.6145842.253889e-08
0.7392411.6144732.196643e-08
0.7430321.6143642.139104e-08
0.7468431.6142552.081270e-08
0.7506731.6141462.023139e-08
0.7545231.6140391.964710e-08
0.7583921.6139321.905981e-08
0.7622821.6138261.846952e-08
0.7661911.6137211.787619e-08
0.770121.6136161.727982e-08
0.774071.6135121.668039e-08
0.778041.6134091.607789e-08
0.782031.6133071.547230e-08
0.7860411.6132051.486361e-08
0.7900721.6131031.425179e-08
0.7941241.6130021.363683e-08
0.7981961.6129021.301872e-08
0.81.6128581.274500e-08
0.802291.6128031.278150e-08
0.8064051.6127041.284709e-08
0.810541.6126051.291301e-08
0.8146971.6125071.297927e-08
0.8188751.612411.304587e-08
0.8230751.6123131.311281e-08
0.8272961.6122171.318010e-08
0.8315391.6121211.324773e-08
0.8358031.6120261.331571e-08
0.840091.6119311.338403e-08
0.8443981.6118371.345271e-08
0.8487291.6117431.352174e-08
0.851.6117161.354200e-08
0.8530821.611651.359106e-08
0.8574571.6115571.366071e-08
0.8618541.6114641.373072e-08
0.8662741.6113721.380108e-08
0.8707171.6112811.387181e-08
0.8751821.611191.394290e-08
0.8796711.6110991.401436e-08
0.8841821.6110081.408618e-08
0.8887171.6109181.415837e-08
0.8932741.6108281.423093e-08
0.8978561.6107391.430386e-08
0.91.6106981.433800e-08
0.902461.610651.437722e-08
0.9070881.6105611.445099e-08
0.9117411.6104731.452514e-08
0.9164161.6103851.459968e-08
0.9211161.6102971.467459e-08
0.925841.610211.474989e-08
0.9305881.6101231.482558e-08
0.9353611.6100361.490165e-08
0.9401581.6099491.497812e-08
0.944981.6098631.505497e-08
0.9498261.6097761.513222e-08
0.951.6097731.513500e-08
0.9546971.6096911.520978e-08
0.9595931.6096051.528772e-08
0.9645151.6095191.536607e-08
0.9694611.6094341.544482e-08
0.9744331.6093491.552397e-08
0.979431.6092641.560353e-08
0.9844531.6091791.568350e-08
0.9895021.6090951.576387e-08
0.9945771.6090111.584466e-08
0.9996781.6089261.592587e-08
11.6089211.593100e-08
1.00481.6088421.600755e-08
1.009961.6087581.608966e-08
1.015141.6086741.617219e-08
1.020341.6085911.625514e-08
1.025581.6085071.633851e-08
1.030841.6084241.642232e-08
1.036121.608341.650655e-08
1.041441.6082571.659122e-08
1.046781.6081731.667632e-08
1.052151.608091.676185e-08
1.057541.6080071.684783e-08
1.061.6079691.688700e-08
1.062971.6079241.693425e-08
1.068421.6078411.702113e-08
1.07391.6077571.710844e-08
1.07941.6076741.719621e-08
1.084941.6075911.728443e-08
1.09051.6075081.737309e-08
1.09611.6074251.746222e-08
1.101721.6073421.755180e-08
1.107371.6072581.764184e-08
1.113051.6071751.773234e-08
1.118761.6070921.782330e-08
1.124491.6070081.791474e-08
1.130261.6069251.800664e-08
1.136061.6068411.809901e-08
1.141881.6067581.819185e-08
1.147741.6066741.828518e-08
1.153621.606591.837898e-08
1.159541.6065061.847326e-08
1.165491.6064221.856802e-08
1.171471.6063371.866328e-08
1.177471.6062531.875902e-08
1.183511.6061681.885525e-08
1.189581.6060841.895197e-08
1.195681.6059991.904919e-08
1.21.6059391.911800e-08
1.201811.6059142.047195e-08
1.207981.6058282.507185e-08
1.214171.6057432.969534e-08
1.22041.6056573.434254e-08
1.226661.6055713.901357e-08
1.232951.6054854.370856e-08
1.239271.6053984.842763e-08
1.245631.6053115.317090e-08
1.252021.6052245.793850e-08
1.258441.6051376.273054e-08
1.264891.6050496.754716e-08
1.271381.6049627.238849e-08
1.27791.6048737.725464e-08
1.284451.6047858.214575e-08
1.291041.6046968.706194e-08
1.297661.6046079.200335e-08
1.304321.6045179.697010e-08
1.311011.6044281.019623e-07
1.317731.6043371.069801e-07
1.324491.6042471.120237e-07
1.331281.6041561.170931e-07
1.338111.6040641.221885e-07
1.344971.6039721.273101e-07
1.351871.603881.324579e-07
1.35881.6037871.376321e-07
1.365771.6036941.428329e-07
1.372771.6036011.480603e-07
1.379811.6035071.533146e-07
1.386891.6034121.585957e-07
1.3941.6033171.639040e-07
1.41.6032371.683800e-07
1.401151.6032221.680733e-07
1.408341.6031261.661593e-07
1.415561.6030291.642355e-07
1.422821.6029321.623019e-07
1.430121.6028341.603584e-07
1.437451.6027361.584049e-07
1.444821.6026381.564413e-07
1.452231.6025381.544677e-07
1.459681.6024381.524840e-07
1.467171.6023381.504901e-07
1.474691.6022371.484860e-07
1.482251.6021351.464716e-07
1.489861.6020331.444469e-07
1.49751.601931.424118e-07
1.505181.6018261.403662e-07
1.51291.6017221.383102e-07
1.520651.6016171.362436e-07
1.528451.6015111.341664e-07
1.536291.6014051.320786e-07
1.544171.6012971.299800e-07
1.552091.601191.278707e-07
1.560051.6010811.257506e-07
1.568051.6009721.236196e-07
1.576091.6008611.214777e-07
1.584181.600751.193247e-07
1.59231.6006391.171608e-07
1.61.6005331.151100e-07
1.600471.6005261.155506e-07
1.608671.6004131.233031e-07
1.616921.6002981.310953e-07
1.625221.6001831.389275e-07
1.633551.6000671.467999e-07
1.641931.5999511.547126e-07
1.650351.5998331.626659e-07
1.658811.5997141.706600e-07
1.667321.5995951.786951e-07
1.675871.5994741.867715e-07
1.684471.5993531.948892e-07
1.693111.599232.030485e-07
1.701791.5991072.112497e-07
1.710521.5989822.194930e-07
1.719291.5988572.277786e-07
1.728111.598732.361066e-07
1.736971.5986032.444773e-07
1.745881.5984742.528910e-07
1.754831.5983452.613478e-07
1.763831.5982142.698480e-07
1.772881.5980822.783918e-07
1.781971.5979492.869794e-07
1.791111.5978152.956111e-07
1.81.5976843.040100e-07
1.800291.5976793.045899e-07
1.809531.5975433.228483e-07
1.818811.5974053.412004e-07
1.828131.5972663.596465e-07
1.837511.5971263.781872e-07
1.846931.5969853.968231e-07
1.856411.5968424.155545e-07
1.865931.5966984.343819e-07
1.87551.5965534.533060e-07
1.885111.5964064.723270e-07
1.894781.5962584.914457e-07
1.90451.5961095.106624e-07
1.914271.5959585.299776e-07
1.924081.5958065.493919e-07
1.933951.5956535.689057e-07
1.943871.5954985.885197e-07
1.953841.5953426.082342e-07
1.963861.5951846.280498e-07
1.973931.5950246.479671e-07
1.984051.5948646.679865e-07
1.994231.5947016.881086e-07
21.5946096.995200e-07
2.004461.5945377.414148e-07
2.014741.5943728.380447e-07
2.025071.5942049.351702e-07
2.035461.5940361.032794e-06
2.045891.5938651.130918e-06
2.056391.5936931.229546e-06
2.066931.5935191.328679e-06
2.077531.5933431.428321e-06
2.088191.5931661.528473e-06
2.09891.5929871.629140e-06
2.109661.5928061.730322e-06
2.120481.5926231.832024e-06
2.131361.5924391.934247e-06
2.142291.5922522.036994e-06
2.153271.5920642.140269e-06
2.164321.5918742.244073e-06
2.175421.5916822.348409e-06
2.186571.5914872.453280e-06
2.197791.5912912.558690e-06
2.21.5912522.579500e-06
2.209061.5910932.725457e-06
2.220391.5908932.908021e-06
2.231771.590693.091521e-06
2.243221.5904863.275963e-06
2.254721.5902793.461350e-06
2.266291.590073.647689e-06
2.277911.5898593.834982e-06
2.289591.5896464.023237e-06
2.301331.5894314.212457e-06
2.313141.5892134.402647e-06
2.3251.5889934.593812e-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
—