Optical constants

Refractive index of H-ZK3A (CDGM)

H-ZK3A: 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
1.58913
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.52533
Permittivity ε2
4.46502e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
61.253
Chromatic dispersion dn/dλ
-0.0497654 µm⁻¹
Group index ng
1.61837
Group velocity dispersion
85.9385 fs²/mm
Dispersion parameter D
-468.84 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-ZK3A (CDGM): H-ZK3A
cdgm_h_zk3a = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZK3A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zk3a.range_nm)  # (302, 2325) nm
eps = cdgm_h_zk3a.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=0.964352845λ2λ2−94.8895042+0.77489966λ2λ2−0.014985413+0.712663198λ2λ2−0.00294423381

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.964352845
C394.8895042
C40.77489966
C50.014985413
C60.712663198
C70.00294423381

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.86e-06 1.8e-08 -8.52e-12 4.69e-07 3.35e-10 0.137
nd
1.589130
Vd
61.253100
glass code
589613
glass status
standard
density
value: 3310
thermal expansion
value: 5.5e-06, temperature range: 243 343; value: 6.8e-06, temperature range: 293 573
dPgF
-0.0013
resistance
climatic: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.48e-06 K⁻¹ at 633 nm, dn/dT = 1.00e-06 K⁻¹ at 1310 nm, dn/dT = 9.61e-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-ZK3A (CDGM), H-ZK3A: n and k versus wavelength
λ (µm)nk
0.3021.6317974.510400e-06
0.3035491.631154.202729e-06
0.3051061.6305123.893479e-06
0.306671.6298823.582644e-06
0.3082431.629263.270214e-06
0.3098241.6286462.956183e-06
0.311.6285782.921200e-06
0.3114131.628042.747930e-06
0.313011.6274422.552063e-06
0.3146151.6268522.355192e-06
0.3162291.626272.157312e-06
0.317851.6256951.958416e-06
0.3194811.6251281.758500e-06
0.321.6249491.694800e-06
0.3211191.6245671.613336e-06
0.3227661.6240141.493450e-06
0.3244211.6234681.372948e-06
0.3260851.6229291.251829e-06
0.3277571.6223971.130088e-06
0.3294381.6218711.007723e-06
0.331.6216989.668300e-07
0.3311281.6213539.202127e-07
0.3328261.620848.500178e-07
0.3345331.6203347.794630e-07
0.3362491.6198357.085463e-07
0.3379731.6193416.372659e-07
0.3397061.6188545.656200e-07
0.341.6187735.534800e-07
0.3414481.6183735.176124e-07
0.34321.6178984.742511e-07
0.344961.6174294.306674e-07
0.3467291.6169653.868602e-07
0.3485071.6165073.428283e-07
0.351.6161293.058600e-07
0.3502941.6160553.018055e-07
0.3520911.6156082.770624e-07
0.3538971.6151672.521925e-07
0.3557121.6147312.271950e-07
0.3575361.61432.020693e-07
0.3593691.6138751.768147e-07
0.361.613731.681300e-07
0.3612121.6134551.597243e-07
0.3630651.6130391.468816e-07
0.3649271.6126291.339730e-07
0.3667981.6122241.209982e-07
0.368681.6118231.079569e-07
0.371.6115469.880300e-08
0.370571.6114289.665204e-08
0.3724711.6110378.948515e-08
0.3743811.610658.228151e-08
0.3763011.6102697.504093e-08
0.3782311.6098916.776321e-08
0.381.6095516.109200e-08
0.3801711.6095196.090362e-08
0.382121.609155.875231e-08
0.384081.6087865.658996e-08
0.386051.6084265.441653e-08
0.388031.6080715.223195e-08
0.391.6077235.005800e-08
0.390021.6077195.002861e-08
0.392021.6073724.705828e-08
0.394031.6070284.407272e-08
0.3960511.6066894.107184e-08
0.3980821.6063533.805558e-08
0.41.6060423.520800e-08
0.4001241.6060223.517705e-08
0.4021761.6056943.466486e-08
0.4042391.605373.415004e-08
0.4063121.6050493.363258e-08
0.4083961.6047333.311247e-08
0.410491.604423.258970e-08
0.4125951.604113.206424e-08
0.4147111.6038043.153608e-08
0.4168381.6035013.100522e-08
0.4189761.6032023.047164e-08
0.421.6030613.021600e-08
0.4211251.6029073.029691e-08
0.4232841.6026143.045230e-08
0.4254551.6023253.060850e-08
0.4276371.6020393.076549e-08
0.429831.6017563.092328e-08
0.4320351.6014763.108189e-08
0.434251.60123.124131e-08
0.4364771.6009263.140155e-08
0.4387161.6006563.156260e-08
0.441.6005033.165500e-08
0.4409661.6003893.119021e-08
0.4432271.6001243.010187e-08
0.44551.5998622.900794e-08
0.4477851.5996042.790840e-08
0.4500821.5993482.680322e-08
0.452391.5990952.569238e-08
0.454711.5988442.457583e-08
0.4570421.5985962.345356e-08
0.4593861.5983512.232554e-08
0.461.5982882.203000e-08
0.4617421.5981092.177882e-08
0.464111.5978692.143735e-08
0.466491.5976322.109413e-08
0.4688831.5973982.074914e-08
0.4712871.5971652.040239e-08
0.4737041.5969362.005386e-08
0.4761341.5967091.970354e-08
0.4785751.5964841.935142e-08
0.481.5963541.914600e-08
0.481031.5962611.898128e-08
0.4834971.5960411.858669e-08
0.4859761.5958231.819007e-08
0.4884691.5956081.779142e-08
0.4909741.5953951.739073e-08
0.4934921.5951841.698798e-08
0.4960231.5949751.658317e-08
0.4985671.5947681.617628e-08
0.51.5946531.594700e-08
0.5011231.5945641.588415e-08
0.5036931.5943611.574039e-08
0.5062771.5941611.559588e-08
0.5088731.5939631.545064e-08
0.5114831.5937671.530465e-08
0.5141061.5935721.515791e-08
0.5167431.593381.501042e-08
0.5193931.593191.486217e-08
0.5220561.5930011.471316e-08
0.5247341.5928151.456339e-08
0.5274251.592631.441285e-08
0.530131.5924481.426153e-08
0.5328491.5922671.410945e-08
0.5355811.5920881.395658e-08
0.5383281.591911.380292e-08
0.5410891.5917351.364848e-08
0.5438641.5915611.349325e-08
0.5466531.5913891.333722e-08
0.5494571.5912181.318039e-08
0.551.5911861.315000e-08
0.5522751.591051.320436e-08
0.5551071.5908821.327206e-08
0.5579541.5907171.334010e-08
0.5608151.5905531.340848e-08
0.5636911.5903911.347722e-08
0.5665821.590231.354632e-08
0.5694881.5900711.361576e-08
0.5724091.5899131.368557e-08
0.5753441.5897571.375573e-08
0.5782951.5896021.382625e-08
0.5812611.5894481.389713e-08
0.5842421.5892971.396838e-08
0.5872381.5891461.403999e-08
0.590251.5889971.411197e-08
0.5932771.5888491.418432e-08
0.5963191.5887031.425703e-08
0.5993781.5885581.433013e-08
0.61.5885291.434500e-08
0.6024521.5884141.440364e-08
0.6055411.5882721.447755e-08
0.6086471.5881311.455183e-08
0.6117681.5879911.462650e-08
0.6149061.5878531.470154e-08
0.6180591.5877151.477698e-08
0.6212291.5875791.485280e-08
0.6244151.5874441.492901e-08
0.6276171.5873111.500561e-08
0.6308361.5871781.508260e-08
0.6340711.5870471.515998e-08
0.6373231.5869171.523777e-08
0.6405921.5867881.531595e-08
0.6438771.586661.539454e-08
0.6471791.5865331.547352e-08
0.651.5864261.554100e-08
0.6504981.5864071.549727e-08
0.6538341.5862821.520443e-08
0.6571871.5861581.491009e-08
0.6605581.5860361.461424e-08
0.6639451.5859141.431687e-08
0.6673511.5857931.401797e-08
0.6707731.5856731.371754e-08
0.6742131.5855551.341557e-08
0.6776711.5854371.311205e-08
0.6811461.585321.280698e-08
0.684641.5852041.250034e-08
0.6881511.5850891.219213e-08
0.691681.5849751.188234e-08
0.6952271.5848621.157095e-08
0.6987931.5847491.125798e-08
0.71.5847121.115200e-08
0.7023761.5846381.118986e-08
0.7059791.5845271.124724e-08
0.7095991.5844171.130492e-08
0.7132381.5843081.136289e-08
0.7168961.58421.142116e-08
0.7205731.5840931.147973e-08
0.7242681.5839861.153860e-08
0.7279831.583881.159777e-08
0.7317161.5837751.165724e-08
0.7354691.5836711.171702e-08
0.7392411.5835671.177711e-08
0.7430321.5834641.183750e-08
0.7468431.5833621.189820e-08
0.7506731.5832611.195922e-08
0.7545231.583161.202055e-08
0.7583921.583061.208219e-08
0.7622821.582961.214415e-08
0.7661911.5828621.220642e-08
0.770121.5827631.226902e-08
0.774071.5826661.233194e-08
0.778041.5825691.239517e-08
0.782031.5824721.245874e-08
0.7860411.5823771.252263e-08
0.7900721.5822821.258685e-08
0.7941241.5821871.265139e-08
0.7981961.5820931.271627e-08
0.81.5820521.274500e-08
0.802291.5819991.278150e-08
0.8064051.5819061.284709e-08
0.810541.5818141.291301e-08
0.8146971.5817221.297927e-08
0.8188751.5816311.304587e-08
0.8230751.581541.311281e-08
0.8272961.5814491.318010e-08
0.8315391.5813591.324773e-08
0.8358031.581271.331571e-08
0.840091.5811811.338403e-08
0.8443981.5810921.345271e-08
0.8487291.5810041.352174e-08
0.851.5809781.354200e-08
0.8530821.5809161.359106e-08
0.8574571.5808291.366071e-08
0.8618541.5807421.373072e-08
0.8662741.5806561.380108e-08
0.8707171.5805691.387181e-08
0.8751821.5804841.394290e-08
0.8796711.5803981.401436e-08
0.8841821.5803131.408618e-08
0.8887171.5802281.415837e-08
0.8932741.5801441.423093e-08
0.8978561.580061.430386e-08
0.91.5800211.433800e-08
0.902461.5799761.437722e-08
0.9070881.5798931.445099e-08
0.9117411.579811.452514e-08
0.9164161.5797271.459968e-08
0.9211161.5796441.467459e-08
0.925841.5795621.474989e-08
0.9305881.579481.482558e-08
0.9353611.5793981.490165e-08
0.9401581.5793171.497812e-08
0.944981.5792351.505497e-08
0.9498261.5791541.513222e-08
0.951.5791511.513500e-08
0.9546971.5790731.520978e-08
0.9595931.5789931.528772e-08
0.9645151.5789121.536607e-08
0.9694611.5788321.544482e-08
0.9744331.5787521.552397e-08
0.979431.5786721.560353e-08
0.9844531.5785921.568350e-08
0.9895021.5785131.576387e-08
0.9945771.5784331.584466e-08
0.9996781.5783541.592587e-08
11.5783491.593100e-08
1.00481.5782751.600755e-08
1.009961.5781951.608966e-08
1.015141.5781161.617219e-08
1.020341.5780381.625514e-08
1.025581.5779591.633851e-08
1.030841.577881.642232e-08
1.036121.5778011.650655e-08
1.041441.5777231.659122e-08
1.046781.5776441.667632e-08
1.052151.5775661.676185e-08
1.057541.5774871.684783e-08
1.061.5774521.688700e-08
1.062971.5774091.693425e-08
1.068421.577331.702113e-08
1.07391.5772521.710844e-08
1.07941.5771741.719621e-08
1.084941.5770951.728443e-08
1.09051.5770171.737309e-08
1.09611.5769381.746222e-08
1.101721.576861.755180e-08
1.107371.5767811.764184e-08
1.113051.5767031.773234e-08
1.118761.5766241.782330e-08
1.124491.5765451.791474e-08
1.130261.5764671.800664e-08
1.136061.5763881.809901e-08
1.141881.5763091.819185e-08
1.147741.576231.828518e-08
1.153621.576151.837898e-08
1.159541.5760711.847326e-08
1.165491.5759921.856802e-08
1.171471.5759121.866328e-08
1.177471.5758321.875902e-08
1.183511.5757521.885525e-08
1.189581.5756721.895197e-08
1.195681.5755921.904919e-08
1.21.5755351.911800e-08
1.201811.5755122.078018e-08
1.207981.5754312.642726e-08
1.214171.575353.210330e-08
1.22041.5752693.780846e-08
1.226661.5751884.354287e-08
1.232951.5751064.930669e-08
1.239271.5750255.510007e-08
1.245631.5749436.092316e-08
1.252021.574866.677611e-08
1.258441.5747787.265908e-08
1.264891.5746957.857223e-08
1.271381.5746128.451570e-08
1.27791.5745289.048964e-08
1.284451.5744459.649423e-08
1.291041.5743611.025296e-07
1.297661.5742761.085959e-07
1.304321.5741921.146934e-07
1.311011.5741071.208221e-07
1.317731.5740211.269823e-07
1.324491.5739361.331740e-07
1.331281.5738491.393975e-07
1.338111.5737631.456529e-07
1.344971.5736761.519404e-07
1.351871.5735891.582601e-07
1.35881.5735011.646123e-07
1.365771.5734131.709970e-07
1.372771.5733241.774145e-07
1.379811.5732351.838649e-07
1.386891.5731461.903483e-07
1.3941.5730561.968650e-07
1.41.572982.023600e-07
1.401151.5729652.017836e-07
1.408341.5728741.981875e-07
1.415561.5727831.945729e-07
1.422821.5726911.909398e-07
1.430121.5725991.872880e-07
1.437451.5725061.836175e-07
1.444821.5724121.799282e-07
1.452231.5723181.762200e-07
1.459681.5722231.724927e-07
1.467171.5721281.687464e-07
1.474691.5720321.649808e-07
1.482251.5719361.611959e-07
1.489861.5718391.573916e-07
1.49751.5717411.535678e-07
1.505181.5716431.497244e-07
1.51291.5715441.458612e-07
1.520651.5714451.419783e-07
1.528451.5713441.380754e-07
1.536291.5712441.341525e-07
1.544171.5711421.302095e-07
1.552091.571041.262463e-07
1.560051.5709371.222628e-07
1.568051.5708331.182588e-07
1.576091.5707281.142343e-07
1.584181.5706231.101892e-07
1.59231.5705171.061233e-07
1.61.5704161.022700e-07
1.600471.570411.025364e-07
1.608671.5703031.072240e-07
1.616921.5701941.119357e-07
1.625221.5700851.166715e-07
1.633551.5699751.214316e-07
1.641931.5698641.262161e-07
1.650351.5697521.310251e-07
1.658811.569641.358588e-07
1.667321.5695261.407173e-07
1.675871.5694121.456007e-07
1.684471.5692971.505092e-07
1.693111.569181.554428e-07
1.701791.5690631.604017e-07
1.710521.5689451.653861e-07
1.719291.5688261.703960e-07
1.728111.5687061.754316e-07
1.736971.5685851.804931e-07
1.745881.5684631.855805e-07
1.754831.5683391.906940e-07
1.763831.5682151.958337e-07
1.772881.568092.009997e-07
1.781971.5679642.061923e-07
1.791111.5678362.114115e-07
1.81.5677122.164900e-07
1.800291.5677082.169075e-07
1.809531.5675782.300504e-07
1.818811.5674472.432607e-07
1.828131.5673152.565388e-07
1.837511.5671822.698850e-07
1.846931.5670472.832996e-07
1.856411.5669122.967831e-07
1.865931.5667753.103356e-07
1.87551.5666373.239577e-07
1.885111.5664983.376497e-07
1.894781.5663573.514118e-07
1.90451.5662153.652446e-07
1.914271.5660723.791483e-07
1.924081.5659273.931233e-07
1.933951.5657814.071699e-07
1.943871.5656344.212886e-07
1.953841.5654854.354797e-07
1.963861.5653354.497436e-07
1.973931.5651834.640807e-07
1.984051.565034.784912e-07
1.994231.5648764.929757e-07
21.5647885.011900e-07
2.004461.564725.381249e-07
2.014741.5645626.233148e-07
2.025071.5644037.089417e-07
2.035461.5642427.950076e-07
2.045891.564088.815150e-07
2.056391.5639169.684660e-07
2.066931.5637511.055863e-06
2.077531.5635841.143708e-06
2.088191.5634151.232004e-06
2.09891.5632441.320752e-06
2.109661.5630721.409956e-06
2.120481.5628981.499617e-06
2.131361.5627231.589738e-06
2.142291.5625451.680321e-06
2.153271.5623661.771369e-06
2.164321.5621841.862884e-06
2.175421.5620011.954868e-06
2.186571.5618162.047323e-06
2.197791.5616292.140253e-06
2.21.5615922.158600e-06
2.209061.5614412.263631e-06
2.220391.561252.395004e-06
2.231771.5610572.527051e-06
2.243221.5608622.659775e-06
2.254721.5606652.793180e-06
2.266291.5604662.927269e-06
2.277911.5602653.062046e-06
2.289591.5600623.197513e-06
2.301331.5598563.333676e-06
2.313141.5596493.470537e-06
2.3251.5594393.608100e-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
—