Optical constants

Refractive index of D-ZPK3 (CDGM)

D-ZPK3: 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
1.59419
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.54144
Permittivity ε2
4.47924e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
67.295
Chromatic dispersion dn/dλ
-0.0457647 µm⁻¹
Group index ng
1.62108
Group velocity dispersion
78.1217 fs²/mm
Dispersion parameter D
-426.195 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-ZPK3 (CDGM): D-ZPK3
cdgm_d_zpk3 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZPK3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zpk3.range_nm)  # (302, 2325) nm
eps = cdgm_d_zpk3.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=0.922289896λ2λ2−0.0126503387+0.584492874λ2λ2−0.00176614589+1.04970792λ2λ2−106.089243

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.922289896
C30.0126503387
C40.584492874
C50.00176614589
C61.04970792
C7106.089243

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -8.61e-06 1.14e-08 -3.06e-11 3.5e-07 1.08e-10 0.215
nd
1.594190
Vd
67.295385
glass code
594673
density
value: 3370
thermal expansion
value: 9.2e-06, temperature range: 243 343; value: 1.15e-05, temperature range: 293 573
dPgF
0.0057
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -3.68e-06 K⁻¹ at 633 nm, dn/dT = -3.98e-06 K⁻¹ at 1310 nm, dn/dT = -3.99e-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-ZPK3 (CDGM), D-ZPK3: n and k versus wavelength
λ (µm)nk
0.3021.6327731.618620e-06
0.3035491.6321971.564582e-06
0.3051061.6316281.510267e-06
0.306671.6310661.455673e-06
0.3082431.6305121.400799e-06
0.3098241.6299641.345644e-06
0.311.6299041.339500e-06
0.3114131.6294241.251362e-06
0.313011.628891.151729e-06
0.3146151.6283631.051586e-06
0.3162291.6278429.509285e-07
0.317851.6273288.497551e-07
0.3194811.626827.480629e-07
0.321.6266617.156600e-07
0.3211191.6263196.829882e-07
0.3227661.6258246.349064e-07
0.3244211.6253355.865779e-07
0.3260851.6248525.380016e-07
0.3277571.6243754.891762e-07
0.3294381.6239044.401004e-07
0.331.6237484.237000e-07
0.3311281.6234394.030208e-07
0.3328261.6229793.718827e-07
0.3345331.6225253.405849e-07
0.3362491.6220763.091266e-07
0.3379731.6216332.775070e-07
0.3397061.6211952.457252e-07
0.341.6211222.403400e-07
0.3414481.6207632.249483e-07
0.34321.6203362.063409e-07
0.344961.6199131.876380e-07
0.3467291.6194961.688392e-07
0.3485071.6190841.499440e-07
0.351.6187441.340800e-07
0.3502941.6186771.324413e-07
0.3520911.6182751.224408e-07
0.3538971.6178771.123889e-07
0.3557121.6174841.022856e-07
0.3575361.6170969.213041e-08
0.3593691.6167128.192315e-08
0.361.6165827.841300e-08
0.3612121.6163337.502682e-08
0.3630651.6159596.985320e-08
0.3649271.6155886.465305e-08
0.3667981.6152235.942623e-08
0.368681.6148615.417261e-08
0.371.6146115.048500e-08
0.370571.6145034.916480e-08
0.3724711.614154.476596e-08
0.3743811.6138014.034455e-08
0.3763011.6134563.590048e-08
0.3782311.6131153.143361e-08
0.381.6128072.733900e-08
0.3801711.6127772.719112e-08
0.382121.6124442.550228e-08
0.384081.6121142.380477e-08
0.386051.6117892.209857e-08
0.388031.6114672.038361e-08
0.391.6111511.867700e-08
0.390021.6111481.867795e-08
0.392021.6108341.877376e-08
0.394031.6105221.887006e-08
0.3960511.6102151.896686e-08
0.3980821.6099111.906415e-08
0.41.6096281.915600e-08
0.4001241.609611.912028e-08
0.4021761.6093121.852930e-08
0.4042391.6090181.793528e-08
0.4063121.6087281.733821e-08
0.4083961.608441.673808e-08
0.410491.6081561.613488e-08
0.4125951.6078751.552858e-08
0.4147111.6075971.491917e-08
0.4168381.6073221.430664e-08
0.4189761.607051.369096e-08
0.421.6069211.339600e-08
0.4211251.6067811.362962e-08
0.4232841.6065151.407831e-08
0.4254551.6062521.452930e-08
0.4276371.6059921.498260e-08
0.429831.6057351.543822e-08
0.4320351.6054811.589619e-08
0.434251.6052291.635650e-08
0.4364771.604981.681917e-08
0.4387161.6047341.728421e-08
0.441.6045941.755100e-08
0.4409661.604491.741197e-08
0.4432271.6042491.708643e-08
0.44551.6040111.675922e-08
0.4477851.6037751.643033e-08
0.4500821.6035421.609975e-08
0.452391.6033111.576748e-08
0.454711.6030831.543350e-08
0.4570421.6028571.509781e-08
0.4593861.6026341.476040e-08
0.461.6025761.467200e-08
0.4617421.6024131.506165e-08
0.464111.6021941.559139e-08
0.466491.6019771.612384e-08
0.4688831.6017631.665902e-08
0.4712871.6015511.719694e-08
0.4737041.6013421.773763e-08
0.4761341.6011341.828108e-08
0.4785751.6009291.882733e-08
0.481.6008111.914600e-08
0.481031.6007261.898128e-08
0.4834971.6005251.858669e-08
0.4859761.6003261.819007e-08
0.4884691.6001291.779142e-08
0.4909741.5999341.739073e-08
0.4934921.5997411.698798e-08
0.4960231.599551.658317e-08
0.4985671.5993611.617628e-08
0.51.5992561.594700e-08
0.5011231.5991741.588415e-08
0.5036931.5989891.574039e-08
0.5062771.5988051.559588e-08
0.5088731.5986241.545064e-08
0.5114831.5984441.530465e-08
0.5141061.5982661.515791e-08
0.5167431.598091.501042e-08
0.5193931.5979161.486217e-08
0.5220561.5977431.471316e-08
0.5247341.5975731.456339e-08
0.5274251.5974031.441285e-08
0.530131.5972361.426153e-08
0.5328491.597071.410945e-08
0.5355811.5969061.395658e-08
0.5383281.5967431.380292e-08
0.5410891.5965821.364848e-08
0.5438641.5964231.349325e-08
0.5466531.5962651.333722e-08
0.5494571.5961091.318039e-08
0.551.5960781.315000e-08
0.5522751.5959541.320436e-08
0.5551071.59581.327206e-08
0.5579541.5956481.334010e-08
0.5608151.5954981.340848e-08
0.5636911.5953491.347722e-08
0.5665821.5952011.354632e-08
0.5694881.5950551.361576e-08
0.5724091.594911.368557e-08
0.5753441.5947661.375573e-08
0.5782951.5946241.382625e-08
0.5812611.5944831.389713e-08
0.5842421.5943431.396838e-08
0.5872381.5942051.403999e-08
0.590251.5940681.411197e-08
0.5932771.5939321.418432e-08
0.5963191.5937981.425703e-08
0.5993781.5936641.433013e-08
0.61.5936371.434500e-08
0.6024521.5935321.414937e-08
0.6055411.5934011.390281e-08
0.6086471.5932711.365499e-08
0.6117681.5931421.340590e-08
0.6149061.5930151.315553e-08
0.6180591.5928881.290387e-08
0.6212291.5927631.265093e-08
0.6244151.5926391.239669e-08
0.6276171.5925161.214114e-08
0.6308361.5923931.188429e-08
0.6340711.5922721.162611e-08
0.6373231.5921521.136662e-08
0.6405921.5920331.110579e-08
0.6438771.5919151.084362e-08
0.6471791.5917981.058011e-08
0.651.5916991.035500e-08
0.6504981.5916821.036294e-08
0.6538341.5915671.041612e-08
0.6571871.5914531.046957e-08
0.6605581.5913391.052329e-08
0.6639451.5912271.057729e-08
0.6673511.5911151.063157e-08
0.6707731.5910051.068612e-08
0.6742131.5908951.074096e-08
0.6776711.5907861.079607e-08
0.6811461.5906781.085147e-08
0.684641.5905711.090715e-08
0.6881511.5904651.096312e-08
0.691681.5903591.101938e-08
0.6952271.5902551.107592e-08
0.6987931.5901511.113276e-08
0.71.5901161.115200e-08
0.7023761.5900471.118986e-08
0.7059791.5899451.124724e-08
0.7095991.5898431.130492e-08
0.7132381.5897431.136289e-08
0.7168961.5896421.142116e-08
0.7205731.5895431.147973e-08
0.7242681.5894441.153860e-08
0.7279831.5893461.159777e-08
0.7317161.5892491.165724e-08
0.7354691.5891521.171702e-08
0.7392411.5890561.177711e-08
0.7430321.5889611.183750e-08
0.7468431.5888661.189820e-08
0.7506731.5887721.195922e-08
0.7545231.5886781.202055e-08
0.7583921.5885851.208219e-08
0.7622821.5884931.214415e-08
0.7661911.5884011.220642e-08
0.770121.588311.226902e-08
0.774071.5882191.233194e-08
0.778041.5881291.239517e-08
0.782031.588041.245874e-08
0.7860411.5879511.252263e-08
0.7900721.5878621.258685e-08
0.7941241.5877741.265139e-08
0.7981961.5876871.271627e-08
0.81.5876481.274500e-08
0.802291.58761.278150e-08
0.8064051.5875131.284709e-08
0.810541.5874271.291301e-08
0.8146971.5873421.297927e-08
0.8188751.5872561.304587e-08
0.8230751.5871721.311281e-08
0.8272961.5870881.318010e-08
0.8315391.5870041.324773e-08
0.8358031.586921.331571e-08
0.840091.5868371.338403e-08
0.8443981.5867551.345271e-08
0.8487291.5866721.352174e-08
0.851.5866491.354200e-08
0.8530821.5865911.359106e-08
0.8574571.5865091.366071e-08
0.8618541.5864281.373072e-08
0.8662741.5863471.380108e-08
0.8707171.5862671.387181e-08
0.8751821.5861871.394290e-08
0.8796711.5861071.401436e-08
0.8841821.5860271.408618e-08
0.8887171.5859481.415837e-08
0.8932741.5858691.423093e-08
0.8978561.5857911.430386e-08
0.91.5857541.433800e-08
0.902461.5857121.437722e-08
0.9070881.5856341.445099e-08
0.9117411.5855571.452514e-08
0.9164161.5854791.459968e-08
0.9211161.5854021.467459e-08
0.925841.5853251.474989e-08
0.9305881.5852481.482558e-08
0.9353611.5851711.490165e-08
0.9401581.5850951.497812e-08
0.944981.5850181.505497e-08
0.9498261.5849421.513222e-08
0.951.584941.513500e-08
0.9546971.5848671.520978e-08
0.9595931.5847911.528772e-08
0.9645151.5847151.536607e-08
0.9694611.584641.544482e-08
0.9744331.5845651.552397e-08
0.979431.584491.560353e-08
0.9844531.5844151.568350e-08
0.9895021.584341.576387e-08
0.9945771.5842651.584466e-08
0.9996781.5841911.592587e-08
11.5841861.593100e-08
1.00481.5841161.600755e-08
1.009961.5840421.608966e-08
1.015141.5839671.617219e-08
1.020341.5838931.625514e-08
1.025581.5838191.633851e-08
1.030841.5837451.642232e-08
1.036121.5836711.650655e-08
1.041441.5835971.659122e-08
1.046781.5835231.667632e-08
1.052151.5834481.676185e-08
1.057541.5833751.684783e-08
1.061.5833411.688700e-08
1.062971.5833011.693425e-08
1.068421.5832271.702113e-08
1.07391.5831531.710844e-08
1.07941.5830791.719621e-08
1.084941.5830041.728443e-08
1.09051.582931.737309e-08
1.09611.5828561.746222e-08
1.101721.5827821.755180e-08
1.107371.5827081.764184e-08
1.113051.5826341.773234e-08
1.118761.5825591.782330e-08
1.124491.5824851.791474e-08
1.130261.582411.800664e-08
1.136061.5823361.809901e-08
1.141881.5822611.819185e-08
1.147741.5821861.828518e-08
1.153621.5821111.837898e-08
1.159541.5820361.847326e-08
1.165491.581961.856802e-08
1.171471.5818851.866328e-08
1.177471.5818091.875902e-08
1.183511.5817341.885525e-08
1.189581.5816581.895197e-08
1.195681.5815821.904919e-08
1.21.5815281.911800e-08
1.201811.5815051.934963e-08
1.207981.5814292.013655e-08
1.214171.5813522.092752e-08
1.22041.5812752.172254e-08
1.226661.5811982.252164e-08
1.232951.581122.332483e-08
1.239271.5810432.413215e-08
1.245631.5809652.494360e-08
1.252021.5808872.575922e-08
1.258441.5808082.657902e-08
1.264891.580732.740302e-08
1.271381.5806512.823125e-08
1.27791.5805712.906373e-08
1.284451.5804922.990047e-08
1.291041.5804123.074151e-08
1.297661.5803313.158686e-08
1.304321.5802513.243655e-08
1.311011.580173.329059e-08
1.317731.5800883.414902e-08
1.324491.5800073.501184e-08
1.331281.5799253.587910e-08
1.338111.5798423.675080e-08
1.344971.5797593.762697e-08
1.351871.5796763.850763e-08
1.35881.5795933.939281e-08
1.365771.5795094.028253e-08
1.372771.5794244.117681e-08
1.379811.5793394.207568e-08
1.386891.5792544.297916e-08
1.3941.5791684.388727e-08
1.41.5790964.465300e-08
1.401151.5790824.520682e-08
1.408341.5789954.866238e-08
1.415561.5789085.213566e-08
1.422821.578825.562675e-08
1.430121.5787325.913574e-08
1.437451.5786436.266274e-08
1.444821.5785546.620782e-08
1.452231.5784646.977108e-08
1.459681.5783737.335261e-08
1.467171.5782827.695251e-08
1.474691.5781918.057088e-08
1.482251.5780998.420780e-08
1.489861.5780068.786337e-08
1.49751.5779139.153770e-08
1.505181.5778199.523086e-08
1.51291.5777249.894297e-08
1.520651.5776291.026741e-07
1.528451.5775331.064244e-07
1.536291.5774371.101939e-07
1.544171.5773391.139827e-07
1.552091.5772411.177910e-07
1.560051.5771431.216188e-07
1.568051.5770441.254663e-07
1.576091.5769441.293334e-07
1.584181.5768431.332204e-07
1.59231.5767421.371274e-07
1.61.5766451.408300e-07
1.600471.5766391.415882e-07
1.608671.5765361.549274e-07
1.616921.5764331.683351e-07
1.625221.5763281.818115e-07
1.633551.5762231.953571e-07
1.641931.5761172.089721e-07
1.650351.576012.226569e-07
1.658811.5759022.364119e-07
1.667321.5757932.502375e-07
1.675871.5756832.641340e-07
1.684471.5755732.781017e-07
1.693111.5754622.921411e-07
1.701791.5753493.062525e-07
1.710521.5752363.204362e-07
1.719291.5751223.346927e-07
1.728111.5750073.490223e-07
1.736971.5748913.634254e-07
1.745881.5747743.779023e-07
1.754831.5746563.924535e-07
1.763831.5745374.070793e-07
1.772881.5744174.217802e-07
1.781971.5742964.365564e-07
1.791111.5741744.514084e-07
1.81.5740554.658600e-07
1.800291.5740514.666457e-07
1.809531.5739274.913823e-07
1.818811.5738015.162458e-07
1.828131.5736755.412368e-07
1.837511.5735475.663559e-07
1.846931.5734185.916039e-07
1.856411.5732886.169813e-07
1.865931.5731576.424889e-07
1.87551.5730256.681273e-07
1.885111.5728926.938972e-07
1.894781.5727577.197993e-07
1.90451.5726217.458342e-07
1.914271.5724847.720026e-07
1.924081.5723457.983053e-07
1.933951.5722058.247428e-07
1.943871.5720648.513159e-07
1.953841.5719228.780253e-07
1.963861.5717789.048717e-07
1.973931.5716339.318557e-07
1.984051.5714869.589781e-07
1.994231.5713389.862397e-07
21.5712541.001700e-06
2.004461.5711881.031472e-06
2.014741.5710381.100142e-06
2.025071.5708851.169164e-06
2.035461.5707311.238540e-06
2.045891.5705761.308271e-06
2.056391.5704191.378360e-06
2.066931.5702611.448809e-06
2.077531.5701011.519619e-06
2.088191.5699391.590792e-06
2.09891.5697761.662330e-06
2.109661.5696111.734235e-06
2.120481.5694441.806509e-06
2.131361.5692761.879154e-06
2.142291.5691061.952171e-06
2.153271.5689342.025562e-06
2.164321.5687612.099330e-06
2.175421.5685862.173476e-06
2.186571.5684092.248003e-06
2.197791.568232.322911e-06
2.21.5681952.337700e-06
2.209061.5680492.392991e-06
2.220391.5678672.462150e-06
2.231771.5676822.531664e-06
2.243221.5674962.601534e-06
2.254721.5673082.671763e-06
2.266291.5671172.742352e-06
2.277911.5669252.813302e-06
2.289591.5667312.884617e-06
2.301331.5665342.956297e-06
2.313141.5663363.028345e-06
2.3251.5661353.100762e-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
—