Optical constants

Refractive index of D-ZK3L (CDGM)

D-ZK3L: 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
1.5917
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.5335
Permittivity ε2
4.47224e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
60.701
Chromatic dispersion dn/dλ
-0.0505009 µm⁻¹
Group index ng
1.62137
Group velocity dispersion
86.1621 fs²/mm
Dispersion parameter D
-470.06 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-ZK3L (CDGM): D-ZK3L
cdgm_d_zk3l = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZK3L", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zk3l.range_nm)  # (302, 2325) nm
eps = cdgm_d_zk3l.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=0.638506128λ2λ2−0.00216674072+0.857387558λ2λ2−0.0144860621+1.23664057λ2λ2−107.881152

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.638506128
C30.00216674072
C40.857387558
C50.0144860621
C61.23664057
C7107.881152

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.09e-06 1.33e-08 5.99e-11 4.94e-07 2.85e-10 0.176
nd
1.591700
Vd
60.701147
glass code
592607
density
value: 2840
thermal expansion
value: 9.2e-06, temperature range: 293 573
dPgF
-0.0045

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.65e-06 K⁻¹ at 633 nm, dn/dT = 1.12e-06 K⁻¹ at 1310 nm, dn/dT = 1.08e-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-ZK3L (CDGM), D-ZK3L: n and k versus wavelength
λ (µm)nk
0.3021.6347116.595680e-06
0.3035491.634066.165017e-06
0.3051061.6334175.732146e-06
0.306671.6327835.297055e-06
0.3082431.6321584.859732e-06
0.3098241.631544.420167e-06
0.311.6314724.371200e-06
0.3114131.6309314.121185e-06
0.313011.6303293.838565e-06
0.3146151.6297363.554495e-06
0.3162291.6291493.268968e-06
0.317851.6285712.981978e-06
0.3194811.6282.693515e-06
0.321.627822.601600e-06
0.3211191.6274362.475662e-06
0.3227661.6268792.290324e-06
0.3244211.626332.104035e-06
0.3260851.6257871.916791e-06
0.3277571.6252521.728587e-06
0.3294381.6247231.539418e-06
0.331.6245481.476200e-06
0.3311281.62421.397498e-06
0.3328261.6236851.278991e-06
0.3345331.6231751.159877e-06
0.3362491.6226731.040151e-06
0.3379731.6221769.198119e-07
0.3397061.6216857.988553e-07
0.341.6216037.783600e-07
0.3414481.6212017.259941e-07
0.34321.6207236.626875e-07
0.344961.620255.990562e-07
0.3467291.6197835.350985e-07
0.3485071.6193224.708129e-07
0.351.6189424.168400e-07
0.3502941.6188674.111437e-07
0.3520911.6184173.763817e-07
0.3538971.6179733.414413e-07
0.3557121.6175343.063218e-07
0.3575361.61712.710221e-07
0.3593691.6166722.355414e-07
0.361.6165262.233400e-07
0.3612121.6162492.108334e-07
0.3630651.6158311.917250e-07
0.3649271.6154171.725186e-07
0.3667981.6150091.532138e-07
0.368681.6146061.338099e-07
0.371.6143271.201900e-07
0.370571.6142071.173480e-07
0.3724711.6138131.078785e-07
0.3743811.6134249.836040e-08
0.3763011.613048.879352e-08
0.3782311.612667.917757e-08
0.381.6123177.036300e-08
0.3801711.6122846.996251e-08
0.382121.6119136.538887e-08
0.384081.6115466.079179e-08
0.386051.6111845.617112e-08
0.388031.6108255.152676e-08
0.391.6104754.690500e-08
0.390021.6104714.688185e-08
0.392021.6101214.454219e-08
0.394031.6097754.219053e-08
0.3960511.6094333.982681e-08
0.3980821.6090953.745097e-08
0.41.6087813.520800e-08
0.4001241.6087613.515615e-08
0.4021761.608433.429819e-08
0.4042391.6081043.343583e-08
0.4063121.6077813.256905e-08
0.4083961.6074623.169782e-08
0.410491.6071463.082213e-08
0.4125951.6068342.994194e-08
0.4147111.6065262.905724e-08
0.4168381.6062212.816801e-08
0.4189761.6059192.727421e-08
0.421.6057762.684600e-08
0.4211251.6056212.671949e-08
0.4232841.6053262.647652e-08
0.4254551.6050342.623230e-08
0.4276371.6047462.598683e-08
0.429831.6044612.574010e-08
0.4320351.6041792.549211e-08
0.434251.60392.524284e-08
0.4364771.6036242.499230e-08
0.4387161.6033512.474047e-08
0.441.6031972.459600e-08
0.4409661.6030812.429433e-08
0.4432271.6028152.358796e-08
0.44551.6025512.287795e-08
0.4477851.602292.216431e-08
0.4500821.6020312.144701e-08
0.452391.6017762.072602e-08
0.454711.6015232.000134e-08
0.4570421.6012731.927295e-08
0.4593861.6010261.854082e-08
0.461.6009621.834900e-08
0.4617421.6007821.808432e-08
0.464111.600541.772450e-08
0.466491.60031.736283e-08
0.4688831.6000631.699930e-08
0.4712871.5998291.663391e-08
0.4737041.5995971.626665e-08
0.4761341.5993681.589750e-08
0.4785751.5991411.552646e-08
0.481.599011.531000e-08
0.481031.5989161.534280e-08
0.4834971.5986941.542137e-08
0.4859761.5984741.550035e-08
0.4884691.5982561.557973e-08
0.4909741.5980411.565952e-08
0.4934921.5978281.573971e-08
0.4960231.5976171.582032e-08
0.4985671.5974081.590135e-08
0.51.5972911.594700e-08
0.5011231.5972011.588415e-08
0.5036931.5969961.574039e-08
0.5062771.5967941.559588e-08
0.5088731.5965941.545064e-08
0.5114831.5963951.530465e-08
0.5141061.5961991.515791e-08
0.5167431.5960041.501042e-08
0.5193931.5958121.486217e-08
0.5220561.5956221.471316e-08
0.5247341.5954331.456339e-08
0.5274251.5952461.441285e-08
0.530131.5950611.426153e-08
0.5328491.5948781.410945e-08
0.5355811.5946971.395658e-08
0.5383281.5945171.380292e-08
0.5410891.594341.364848e-08
0.5438641.5941641.349325e-08
0.5466531.5939891.333722e-08
0.5494571.5938171.318039e-08
0.551.5937841.315000e-08
0.5522751.5936461.320436e-08
0.5551071.5934771.327206e-08
0.5579541.5933091.334010e-08
0.5608151.5931431.340848e-08
0.5636911.5929781.347722e-08
0.5665821.5928151.354632e-08
0.5694881.5926541.361576e-08
0.5724091.5924941.368557e-08
0.5753441.5923361.375573e-08
0.5782951.5921791.382625e-08
0.5812611.5920231.389713e-08
0.5842421.5918691.396838e-08
0.5872381.5917161.403999e-08
0.590251.5915651.411197e-08
0.5932771.5914151.418432e-08
0.5963191.5912671.425703e-08
0.5993781.5911191.433013e-08
0.61.591091.434500e-08
0.6024521.5909741.440364e-08
0.6055411.5908291.447755e-08
0.6086471.5906861.455183e-08
0.6117681.5905441.462650e-08
0.6149061.5904031.470154e-08
0.6180591.5902631.477698e-08
0.6212291.5901251.485280e-08
0.6244151.5899881.492901e-08
0.6276171.5898521.500561e-08
0.6308361.5897171.508260e-08
0.6340711.5895831.515998e-08
0.6373231.5894511.523777e-08
0.6405921.5893191.531595e-08
0.6438771.5891891.539454e-08
0.6471791.589061.547352e-08
0.651.588951.554100e-08
0.6504981.5889311.549727e-08
0.6538341.5888041.520443e-08
0.6571871.5886781.491009e-08
0.6605581.5885531.461424e-08
0.6639451.5884291.431687e-08
0.6673511.5883061.401797e-08
0.6707731.5881831.371754e-08
0.6742131.5880621.341557e-08
0.6776711.5879421.311205e-08
0.6811461.5878231.280698e-08
0.684641.5877041.250034e-08
0.6881511.5875871.219213e-08
0.691681.587471.188234e-08
0.6952271.5873541.157095e-08
0.6987931.5872391.125798e-08
0.71.5872011.115200e-08
0.7023761.5871251.118986e-08
0.7059791.5870121.124724e-08
0.7095991.58691.130492e-08
0.7132381.5867881.136289e-08
0.7168961.5866771.142116e-08
0.7205731.5865671.147973e-08
0.7242681.5864581.153860e-08
0.7279831.586351.159777e-08
0.7317161.5862421.165724e-08
0.7354691.5861351.171702e-08
0.7392411.5860281.177711e-08
0.7430321.5859231.183750e-08
0.7468431.5858181.189820e-08
0.7506731.5857131.195922e-08
0.7545231.585611.202055e-08
0.7583921.5855071.208219e-08
0.7622821.5854051.214415e-08
0.7661911.5853031.220642e-08
0.770121.5852021.226902e-08
0.774071.5851011.233194e-08
0.778041.5850011.239517e-08
0.782031.5849021.245874e-08
0.7860411.5848031.252263e-08
0.7900721.5847051.258685e-08
0.7941241.5846081.265139e-08
0.7981961.5845111.271627e-08
0.81.5844681.274500e-08
0.802291.5844141.278150e-08
0.8064051.5843181.284709e-08
0.810541.5842221.291301e-08
0.8146971.5841271.297927e-08
0.8188751.5840331.304587e-08
0.8230751.5839391.311281e-08
0.8272961.5838451.318010e-08
0.8315391.5837521.324773e-08
0.8358031.5836591.331571e-08
0.840091.5835671.338403e-08
0.8443981.5834751.345271e-08
0.8487291.5833831.352174e-08
0.851.5833571.354200e-08
0.8530821.5832921.359106e-08
0.8574571.5832021.366071e-08
0.8618541.5831111.373072e-08
0.8662741.5830211.380108e-08
0.8707171.5829321.387181e-08
0.8751821.5828421.394290e-08
0.8796711.5827541.401436e-08
0.8841821.5826651.408618e-08
0.8887171.5825771.415837e-08
0.8932741.5824891.423093e-08
0.8978561.5824011.430386e-08
0.91.582361.433800e-08
0.902461.5823141.437722e-08
0.9070881.5822261.445099e-08
0.9117411.582141.452514e-08
0.9164161.5820531.459968e-08
0.9211161.5819671.467459e-08
0.925841.581881.474989e-08
0.9305881.5817951.482558e-08
0.9353611.5817091.490165e-08
0.9401581.5816231.497812e-08
0.944981.5815381.505497e-08
0.9498261.5814531.513222e-08
0.951.581451.513500e-08
0.9546971.5813681.520978e-08
0.9595931.5812831.528772e-08
0.9645151.5811991.536607e-08
0.9694611.5811141.544482e-08
0.9744331.581031.552397e-08
0.979431.5809461.560353e-08
0.9844531.5808621.568350e-08
0.9895021.5807781.576387e-08
0.9945771.5806941.584466e-08
0.9996781.580611.592587e-08
11.5806051.593100e-08
1.00481.5805271.600755e-08
1.009961.5804431.608966e-08
1.015141.580361.617219e-08
1.020341.5802761.625514e-08
1.025581.5801931.633851e-08
1.030841.580111.642232e-08
1.036121.5800261.650655e-08
1.041441.5799431.659122e-08
1.046781.579861.667632e-08
1.052151.5797761.676185e-08
1.057541.5796931.684783e-08
1.061.5796551.688700e-08
1.062971.579611.693425e-08
1.068421.5795261.702113e-08
1.07391.5794431.710844e-08
1.07941.5793591.719621e-08
1.084941.5792761.728443e-08
1.09051.5791921.737309e-08
1.09611.5791091.746222e-08
1.101721.5790251.755180e-08
1.107371.5789411.764184e-08
1.113051.5788571.773234e-08
1.118761.5787731.782330e-08
1.124491.5786891.791474e-08
1.130261.5786051.800664e-08
1.136061.578521.809901e-08
1.141881.5784361.819185e-08
1.147741.5783511.828518e-08
1.153621.5782661.837898e-08
1.159541.5781811.847326e-08
1.165491.5780961.856802e-08
1.171471.578011.866328e-08
1.177471.5779251.875902e-08
1.183511.5778391.885525e-08
1.189581.5777531.895197e-08
1.195681.5776661.904919e-08
1.21.5776051.911800e-08
1.201811.577581.945114e-08
1.207981.5774932.058295e-08
1.214171.5774062.172056e-08
1.22041.5773182.286401e-08
1.226661.5772312.401332e-08
1.232951.5771432.516852e-08
1.239271.5770542.632965e-08
1.245631.5769662.749674e-08
1.252021.5768772.866980e-08
1.258441.5767882.984889e-08
1.264891.5766983.103402e-08
1.271381.5766083.222523e-08
1.27791.5765183.342255e-08
1.284451.5764273.462601e-08
1.291041.5763363.583565e-08
1.297661.5762453.705148e-08
1.304321.5761533.827355e-08
1.311011.576063.950189e-08
1.317731.5759684.073653e-08
1.324491.5758754.197750e-08
1.331281.5757814.322483e-08
1.338111.5756874.447857e-08
1.344971.5755924.573873e-08
1.351871.5754974.700535e-08
1.35881.5754024.827847e-08
1.365771.5753064.955812e-08
1.372771.5752095.084433e-08
1.379811.5751125.213714e-08
1.386891.5750155.343658e-08
1.3941.5749165.474268e-08
1.41.5748345.584400e-08
1.401151.5748185.581629e-08
1.408341.5747195.564340e-08
1.415561.5746195.546962e-08
1.422821.5745185.529495e-08
1.430121.5744175.511939e-08
1.437451.5743155.494292e-08
1.444821.5742135.476555e-08
1.452231.574115.458727e-08
1.459681.5740075.440808e-08
1.467171.5739025.422797e-08
1.474691.5737975.404693e-08
1.482251.5736925.386496e-08
1.489861.5735855.368207e-08
1.49751.5734785.349823e-08
1.505181.5733715.331345e-08
1.51291.5732625.312772e-08
1.520651.5731535.294104e-08
1.528451.5730435.275341e-08
1.536291.5729325.256481e-08
1.544171.572825.237524e-08
1.552091.5727085.218470e-08
1.560051.5725955.199319e-08
1.568051.5724815.180069e-08
1.576091.5723665.160720e-08
1.584181.572255.141273e-08
1.59231.5721335.121725e-08
1.61.5720235.103200e-08
1.600471.5720165.141795e-08
1.608671.5718985.820836e-08
1.616921.5717786.503359e-08
1.625221.5716587.189383e-08
1.633551.5715377.878925e-08
1.641931.5714158.572004e-08
1.650351.5712919.268637e-08
1.658811.5711679.968842e-08
1.667321.5710421.067264e-07
1.675871.5709161.138004e-07
1.684471.5707891.209108e-07
1.693111.5706611.280576e-07
1.701791.5705311.352411e-07
1.710521.5704011.424614e-07
1.719291.5702691.497187e-07
1.728111.5701371.570132e-07
1.736971.5700031.643452e-07
1.745881.5698681.717147e-07
1.754831.5697321.791221e-07
1.763831.5695951.865674e-07
1.772881.5694561.940510e-07
1.781971.5693172.015729e-07
1.791111.5691762.091334e-07
1.81.5690382.164900e-07
1.800291.5690342.170767e-07
1.809531.568892.355465e-07
1.818811.5687462.541110e-07
1.828131.56862.727708e-07
1.837511.5684532.915262e-07
1.846931.5683043.103778e-07
1.856411.5681543.293262e-07
1.865931.5680033.483717e-07
1.87551.567853.675148e-07
1.885111.5676963.867562e-07
1.894781.567544.060962e-07
1.90451.5673834.255354e-07
1.914271.5672244.450743e-07
1.924081.5670644.647134e-07
1.933951.5669034.844532e-07
1.943871.566745.042943e-07
1.953841.5665755.242371e-07
1.963861.5664095.442822e-07
1.973931.5662415.644301e-07
1.984051.5660715.846813e-07
1.994231.56596.050364e-07
21.5658036.165800e-07
2.004461.5657276.571720e-07
2.014741.5655537.507971e-07
2.025071.5653778.449024e-07
2.035461.5651999.394903e-07
2.045891.5650191.034563e-06
2.056391.5648381.130124e-06
2.066931.5646541.226174e-06
2.077531.5644691.322718e-06
2.088191.5642821.419756e-06
2.09891.5640931.517292e-06
2.109661.5639031.615328e-06
2.120481.563711.713867e-06
2.131361.5635151.812912e-06
2.142291.5633181.912464e-06
2.153271.563122.012527e-06
2.164321.5629192.113103e-06
2.175421.5627162.214195e-06
2.186571.5625112.315805e-06
2.197791.5623042.417937e-06
2.21.5622632.438100e-06
2.209061.5620952.611818e-06
2.220391.5618842.829106e-06
2.231771.561673.047509e-06
2.243221.5614543.267031e-06
2.254721.5612363.487680e-06
2.266291.5610163.709459e-06
2.277911.5607933.932377e-06
2.289591.5605684.156437e-06
2.301331.5603414.381647e-06
2.313141.5601114.608012e-06
2.3251.5598784.835537e-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
—