Optical constants

Refractive index of D-ZK3L-25 (CDGM)

D-ZK3L-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
1.5909
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.53096
Permittivity ε2
4.46999e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
60.619
Chromatic dispersion dn/dλ
-0.0505013 µm⁻¹
Group index ng
1.62057
Group velocity dispersion
86.1637 fs²/mm
Dispersion parameter D
-470.069 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-25 (CDGM): D-ZK3L-25
cdgm_d_zk3l_25 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZK3L-25", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zk3l_25.range_nm)  # (302, 2325) nm
eps = cdgm_d_zk3l_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=0.636443631λ2λ2−0.0021737174+0.856921557λ2λ2−0.0144861653+1.23247717λ2λ2−107.585666

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.636443631
C30.0021737174
C40.856921557
C50.0144861653
C61.23247717
C7107.585666

Comments and conditions

anneal rate:25°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
1.590900
Vd
60.618517
glass code
591606
density
value: 2840
thermal expansion
value: 9.2e-06, temperature range: 293 573
dPgF
-0.0046

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.64e-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-25 (CDGM), D-ZK3L-25: n and k versus wavelength
λ (µm)nk
0.3021.6339116.595680e-06
0.3035491.633266.165017e-06
0.3051061.6326185.732146e-06
0.306671.6319845.297055e-06
0.3082431.6313584.859732e-06
0.3098241.6307414.420167e-06
0.311.6306734.371200e-06
0.3114131.6301314.121185e-06
0.313011.629533.838565e-06
0.3146151.6289363.554495e-06
0.3162291.628353.268968e-06
0.317851.6277712.981978e-06
0.3194811.62722.693515e-06
0.321.627022.601600e-06
0.3211191.6266362.475662e-06
0.3227661.626082.290324e-06
0.3244211.625532.104035e-06
0.3260851.6249881.916791e-06
0.3277571.6244521.728587e-06
0.3294381.6239231.539418e-06
0.331.6237481.476200e-06
0.3311281.6234011.397498e-06
0.3328261.6228851.278991e-06
0.3345331.6223761.159877e-06
0.3362491.6218731.040151e-06
0.3379731.6213769.198119e-07
0.3397061.6208867.988553e-07
0.341.6208047.783600e-07
0.3414481.6204017.259941e-07
0.34321.6199236.626875e-07
0.344961.619455.990562e-07
0.3467291.6189845.350985e-07
0.3485071.6185234.708129e-07
0.351.6181424.168400e-07
0.3502941.6180674.111437e-07
0.3520911.6176183.763817e-07
0.3538971.6171733.414413e-07
0.3557121.6167343.063218e-07
0.3575361.6163012.710221e-07
0.3593691.6158722.355414e-07
0.361.6157272.233400e-07
0.3612121.6154492.108334e-07
0.3630651.6150311.917250e-07
0.3649271.6146181.725186e-07
0.3667981.6142091.532138e-07
0.368681.6138061.338099e-07
0.371.6135271.201900e-07
0.370571.6134081.173480e-07
0.3724711.6130141.078785e-07
0.3743811.6126259.836040e-08
0.3763011.612248.879352e-08
0.3782311.611867.917757e-08
0.381.6115177.036300e-08
0.3801711.6114846.996251e-08
0.382121.6111136.538887e-08
0.384081.6107466.079179e-08
0.386051.6103845.617112e-08
0.388031.6100265.152676e-08
0.391.6096754.690500e-08
0.390021.6096714.688185e-08
0.392021.6093214.454219e-08
0.394031.6089754.219053e-08
0.3960511.6086333.982681e-08
0.3980821.6082953.745097e-08
0.41.6079813.520800e-08
0.4001241.6079613.515615e-08
0.4021761.6076313.429819e-08
0.4042391.6073043.343583e-08
0.4063121.6069813.256905e-08
0.4083961.6066623.169782e-08
0.410491.6063463.082213e-08
0.4125951.6060342.994194e-08
0.4147111.6057262.905724e-08
0.4168381.6054212.816801e-08
0.4189761.6051192.727421e-08
0.421.6049762.684600e-08
0.4211251.6048212.671949e-08
0.4232841.6045262.647652e-08
0.4254551.6042342.623230e-08
0.4276371.6039462.598683e-08
0.429831.6036612.574010e-08
0.4320351.6033792.549211e-08
0.434251.60312.524284e-08
0.4364771.6028242.499230e-08
0.4387161.6025512.474047e-08
0.441.6023972.459600e-08
0.4409661.6022822.429433e-08
0.4432271.6020152.358796e-08
0.44551.6017512.287795e-08
0.4477851.601492.216431e-08
0.4500821.6012312.144701e-08
0.452391.6009762.072602e-08
0.454711.6007232.000134e-08
0.4570421.6004731.927295e-08
0.4593861.6002261.854082e-08
0.461.6001621.834900e-08
0.4617421.5999821.808432e-08
0.464111.599741.772450e-08
0.466491.59951.736283e-08
0.4688831.5992631.699930e-08
0.4712871.5990291.663391e-08
0.4737041.5987971.626665e-08
0.4761341.5985681.589750e-08
0.4785751.5983411.552646e-08
0.481.598211.531000e-08
0.481031.5981161.534280e-08
0.4834971.5978941.542137e-08
0.4859761.5976741.550035e-08
0.4884691.5974561.557973e-08
0.4909741.5972411.565952e-08
0.4934921.5970281.573971e-08
0.4960231.5968171.582032e-08
0.4985671.5966081.590135e-08
0.51.5964911.594700e-08
0.5011231.5964011.588415e-08
0.5036931.5961971.574039e-08
0.5062771.5959941.559588e-08
0.5088731.5957941.545064e-08
0.5114831.5955951.530465e-08
0.5141061.5953991.515791e-08
0.5167431.5952041.501042e-08
0.5193931.5950121.486217e-08
0.5220561.5948221.471316e-08
0.5247341.5946331.456339e-08
0.5274251.5944461.441285e-08
0.530131.5942611.426153e-08
0.5328491.5940781.410945e-08
0.5355811.5938971.395658e-08
0.5383281.5937171.380292e-08
0.5410891.593541.364848e-08
0.5438641.5933641.349325e-08
0.5466531.5931891.333722e-08
0.5494571.5930171.318039e-08
0.551.5929841.315000e-08
0.5522751.5928461.320436e-08
0.5551071.5926771.327206e-08
0.5579541.5925091.334010e-08
0.5608151.5923431.340848e-08
0.5636911.5921781.347722e-08
0.5665821.5920151.354632e-08
0.5694881.5918541.361576e-08
0.5724091.5916941.368557e-08
0.5753441.5915351.375573e-08
0.5782951.5913791.382625e-08
0.5812611.5912231.389713e-08
0.5842421.5910691.396838e-08
0.5872381.5909161.403999e-08
0.590251.5907651.411197e-08
0.5932771.5906151.418432e-08
0.5963191.5904671.425703e-08
0.5993781.5903191.433013e-08
0.61.590291.434500e-08
0.6024521.5901731.440364e-08
0.6055411.5900291.447755e-08
0.6086471.5898861.455183e-08
0.6117681.5897441.462650e-08
0.6149061.5896031.470154e-08
0.6180591.5894631.477698e-08
0.6212291.5893251.485280e-08
0.6244151.5891881.492901e-08
0.6276171.5890521.500561e-08
0.6308361.5889171.508260e-08
0.6340711.5887831.515998e-08
0.6373231.5886511.523777e-08
0.6405921.5885191.531595e-08
0.6438771.5883891.539454e-08
0.6471791.5882591.547352e-08
0.651.588151.554100e-08
0.6504981.5881311.549727e-08
0.6538341.5880041.520443e-08
0.6571871.5878781.491009e-08
0.6605581.5877531.461424e-08
0.6639451.5876291.431687e-08
0.6673511.5875061.401797e-08
0.6707731.5873831.371754e-08
0.6742131.5872621.341557e-08
0.6776711.5871421.311205e-08
0.6811461.5870231.280698e-08
0.684641.5869041.250034e-08
0.6881511.5867871.219213e-08
0.691681.586671.188234e-08
0.6952271.5865541.157095e-08
0.6987931.5864391.125798e-08
0.71.5864011.115200e-08
0.7023761.5863251.118986e-08
0.7059791.5862121.124724e-08
0.7095991.58611.130492e-08
0.7132381.5859881.136289e-08
0.7168961.5858771.142116e-08
0.7205731.5857671.147973e-08
0.7242681.5856581.153860e-08
0.7279831.5855491.159777e-08
0.7317161.5854421.165724e-08
0.7354691.5853351.171702e-08
0.7392411.5852281.177711e-08
0.7430321.5851231.183750e-08
0.7468431.5850181.189820e-08
0.7506731.5849131.195922e-08
0.7545231.584811.202055e-08
0.7583921.5847071.208219e-08
0.7622821.5846051.214415e-08
0.7661911.5845031.220642e-08
0.770121.5844021.226902e-08
0.774071.5843011.233194e-08
0.778041.5842011.239517e-08
0.782031.5841021.245874e-08
0.7860411.5840031.252263e-08
0.7900721.5839051.258685e-08
0.7941241.5838081.265139e-08
0.7981961.5837111.271627e-08
0.81.5836681.274500e-08
0.802291.5836141.278150e-08
0.8064051.5835181.284709e-08
0.810541.5834221.291301e-08
0.8146971.5833271.297927e-08
0.8188751.5832331.304587e-08
0.8230751.5831391.311281e-08
0.8272961.5830451.318010e-08
0.8315391.5829521.324773e-08
0.8358031.5828591.331571e-08
0.840091.5827671.338403e-08
0.8443981.5826751.345271e-08
0.8487291.5825831.352174e-08
0.851.5825571.354200e-08
0.8530821.5824921.359106e-08
0.8574571.5824021.366071e-08
0.8618541.5823111.373072e-08
0.8662741.5822211.380108e-08
0.8707171.5821321.387181e-08
0.8751821.5820421.394290e-08
0.8796711.5819541.401436e-08
0.8841821.5818651.408618e-08
0.8887171.5817771.415837e-08
0.8932741.5816891.423093e-08
0.8978561.5816011.430386e-08
0.91.581561.433800e-08
0.902461.5815141.437722e-08
0.9070881.5814261.445099e-08
0.9117411.581341.452514e-08
0.9164161.5812531.459968e-08
0.9211161.5811671.467459e-08
0.925841.581081.474989e-08
0.9305881.5809951.482558e-08
0.9353611.5809091.490165e-08
0.9401581.5808231.497812e-08
0.944981.5807381.505497e-08
0.9498261.5806531.513222e-08
0.951.580651.513500e-08
0.9546971.5805681.520978e-08
0.9595931.5804831.528772e-08
0.9645151.5803991.536607e-08
0.9694611.5803141.544482e-08
0.9744331.580231.552397e-08
0.979431.5801461.560353e-08
0.9844531.5800621.568350e-08
0.9895021.5799781.576387e-08
0.9945771.5798941.584466e-08
0.9996781.579811.592587e-08
11.5798051.593100e-08
1.00481.5797271.600755e-08
1.009961.5796431.608966e-08
1.015141.579561.617219e-08
1.020341.5794761.625514e-08
1.025581.5793931.633851e-08
1.030841.579311.642232e-08
1.036121.5792261.650655e-08
1.041441.5791431.659122e-08
1.046781.579061.667632e-08
1.052151.5789761.676185e-08
1.057541.5788931.684783e-08
1.061.5788551.688700e-08
1.062971.578811.693425e-08
1.068421.5787261.702113e-08
1.07391.5786431.710844e-08
1.07941.5785591.719621e-08
1.084941.5784761.728443e-08
1.09051.5783921.737309e-08
1.09611.5783091.746222e-08
1.101721.5782251.755180e-08
1.107371.5781411.764184e-08
1.113051.5780571.773234e-08
1.118761.5779731.782330e-08
1.124491.5778891.791474e-08
1.130261.5778051.800664e-08
1.136061.577721.809901e-08
1.141881.5776361.819185e-08
1.147741.5775511.828518e-08
1.153621.5774661.837898e-08
1.159541.5773811.847326e-08
1.165491.5772961.856802e-08
1.171471.577211.866328e-08
1.177471.5771251.875902e-08
1.183511.5770391.885525e-08
1.189581.5769531.895197e-08
1.195681.5768661.904919e-08
1.21.5768051.911800e-08
1.201811.576781.945114e-08
1.207981.5766932.058295e-08
1.214171.5766062.172056e-08
1.22041.5765182.286401e-08
1.226661.5764312.401332e-08
1.232951.5763432.516852e-08
1.239271.5762552.632965e-08
1.245631.5761662.749674e-08
1.252021.5760772.866980e-08
1.258441.5759882.984889e-08
1.264891.5758983.103402e-08
1.271381.5758083.222523e-08
1.27791.5757183.342255e-08
1.284451.5756273.462601e-08
1.291041.5755363.583565e-08
1.297661.5754453.705148e-08
1.304321.5753533.827355e-08
1.311011.5752613.950189e-08
1.317731.5751684.073653e-08
1.324491.5750754.197750e-08
1.331281.5749814.322483e-08
1.338111.5748874.447857e-08
1.344971.5747924.573873e-08
1.351871.5746974.700535e-08
1.35881.5746024.827847e-08
1.365771.5745064.955812e-08
1.372771.5744095.084433e-08
1.379811.5743125.213714e-08
1.386891.5742155.343658e-08
1.3941.5741175.474268e-08
1.41.5740345.584400e-08
1.401151.5740185.581629e-08
1.408341.5739195.564340e-08
1.415561.5738195.546962e-08
1.422821.5737185.529495e-08
1.430121.5736175.511939e-08
1.437451.5735165.494292e-08
1.444821.5734135.476555e-08
1.452231.573315.458727e-08
1.459681.5732075.440808e-08
1.467171.5731035.422797e-08
1.474691.5729985.404693e-08
1.482251.5728925.386496e-08
1.489861.5727865.368207e-08
1.49751.5726795.349823e-08
1.505181.5725715.331345e-08
1.51291.5724625.312772e-08
1.520651.5723535.294104e-08
1.528451.5722435.275341e-08
1.536291.5721325.256481e-08
1.544171.5720215.237524e-08
1.552091.5719085.218470e-08
1.560051.5717955.199319e-08
1.568051.5716815.180069e-08
1.576091.5715665.160720e-08
1.584181.571455.141273e-08
1.59231.5713345.121725e-08
1.61.5712235.103200e-08
1.600471.5712165.141795e-08
1.608671.5710985.820836e-08
1.616921.5709786.503359e-08
1.625221.5708587.189383e-08
1.633551.5707377.878925e-08
1.641931.5706158.572004e-08
1.650351.5704919.268637e-08
1.658811.5703679.968842e-08
1.667321.5702421.067264e-07
1.675871.5701161.138004e-07
1.684471.5699891.209108e-07
1.693111.5698611.280576e-07
1.701791.5697311.352411e-07
1.710521.5696011.424614e-07
1.719291.5694691.497187e-07
1.728111.5693371.570132e-07
1.736971.5692031.643452e-07
1.745881.5690681.717147e-07
1.754831.5689321.791221e-07
1.763831.5687951.865674e-07
1.772881.5686571.940510e-07
1.781971.5685172.015729e-07
1.791111.5683762.091334e-07
1.81.5682382.164900e-07
1.800291.5682342.170767e-07
1.809531.5680912.355465e-07
1.818811.5679462.541110e-07
1.828131.56782.727708e-07
1.837511.5676532.915262e-07
1.846931.5675043.103778e-07
1.856411.5673543.293262e-07
1.865931.5672033.483717e-07
1.87551.567053.675148e-07
1.885111.5668963.867562e-07
1.894781.566744.060962e-07
1.90451.5665834.255354e-07
1.914271.5664244.450743e-07
1.924081.5662644.647134e-07
1.933951.5661034.844532e-07
1.943871.565945.042943e-07
1.953841.5657755.242371e-07
1.963861.5656095.442822e-07
1.973931.5654415.644301e-07
1.984051.5652715.846813e-07
1.994231.56516.050364e-07
21.5650036.165800e-07
2.004461.5649276.571720e-07
2.014741.5647537.507971e-07
2.025071.5645778.449024e-07
2.035461.5643999.394903e-07
2.045891.5642191.034563e-06
2.056391.5640371.130124e-06
2.066931.5638541.226174e-06
2.077531.5636691.322718e-06
2.088191.5634821.419756e-06
2.09891.5632931.517292e-06
2.109661.5631021.615328e-06
2.120481.5629091.713867e-06
2.131361.5627151.812912e-06
2.142291.5625181.912464e-06
2.153271.5623192.012527e-06
2.164321.5621192.113103e-06
2.175421.5619162.214195e-06
2.186571.5617112.315805e-06
2.197791.5615042.417937e-06
2.21.5614632.438100e-06
2.209061.5612952.611818e-06
2.220391.5610832.829106e-06
2.231771.560873.047509e-06
2.243221.5606543.267031e-06
2.254721.5604363.487680e-06
2.266291.5602153.709459e-06
2.277911.5599923.932377e-06
2.289591.5597674.156437e-06
2.301331.559544.381647e-06
2.313141.559314.608012e-06
2.3251.5590774.835537e-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
—