Optical constants

Refractive index of D-ZK2 (CDGM)

D-ZK2: 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
1.58313
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.50629
Permittivity ε2
4.44816e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
59.382
Chromatic dispersion dn/dλ
-0.0507844 µm⁻¹
Group index ng
1.61297
Group velocity dispersion
88.0453 fs²/mm
Dispersion parameter D
-480.334 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-ZK2 (CDGM): D-ZK2
cdgm_d_zk2 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZK2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zk2.range_nm)  # (302, 2325) nm
eps = cdgm_d_zk2.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=0.402765796λ2λ2−0.019063471+1.01706887λ2λ2−101.270923+1.06495499λ2λ2−0.00590052089

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.402765796
C30.019063471
C41.01706887
C5101.270923
C61.06495499
C70.00590052089

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2e-06 1.15e-08 4.47e-11 6.34e-07 6.43e-10 0.089
nd
1.583130
Vd
59.381686
glass code
583594
density
value: 2960
thermal expansion
value: 7.3e-06, temperature range: 243 343; value: 9.2e-06, temperature range: 293 573
dPgF
-0.0033
resistance
climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.71e-06 K⁻¹ at 633 nm, dn/dT = 1.10e-06 K⁻¹ at 1310 nm, dn/dT = 1.05e-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-ZK2 (CDGM), D-ZK2: n and k versus wavelength
λ (µm)nk
0.3021.626933.379180e-06
0.3035491.6262613.137008e-06
0.3051061.6256012.893594e-06
0.306671.624952.648931e-06
0.3082431.6243072.403014e-06
0.3098241.6236732.155835e-06
0.311.6236042.128300e-06
0.3114131.6230481.993261e-06
0.313011.6224311.840612e-06
0.3146151.6218221.687180e-06
0.3162291.6212211.532960e-06
0.317851.6206281.377950e-06
0.3194811.6200431.222145e-06
0.321.6198591.172500e-06
0.3211191.6194651.112054e-06
0.3227661.6188951.023099e-06
0.3244211.6183339.336876e-07
0.3260851.6177778.438174e-07
0.3277571.6172297.534864e-07
0.3294381.6166886.626921e-07
0.331.6165096.323500e-07
0.3311281.6161535.996947e-07
0.3328261.6156265.505235e-07
0.3345331.6151055.011001e-07
0.3362491.6145914.514233e-07
0.3379731.6140834.014917e-07
0.3397061.6135823.513040e-07
0.341.6134983.428000e-07
0.3414481.6130873.198284e-07
0.34321.6125982.920573e-07
0.344961.6121162.641438e-07
0.3467291.6116392.360871e-07
0.3485071.6111692.078866e-07
0.351.610781.842100e-07
0.3502941.6107041.817917e-07
0.3520911.6102451.670335e-07
0.3538971.6097911.521996e-07
0.3557121.6093431.372897e-07
0.3575361.6089011.223033e-07
0.3593691.6084641.072401e-07
0.361.6083151.020600e-07
0.3612121.6080329.726226e-08
0.3630651.6076068.993198e-08
0.3649271.6071858.256411e-08
0.3667981.6067697.515845e-08
0.368681.6063586.771482e-08
0.371.6060736.249000e-08
0.370571.6059516.118263e-08
0.3724711.605555.682655e-08
0.3743811.6051545.244813e-08
0.3763011.6047624.804725e-08
0.3782311.6043754.362381e-08
0.381.6040263.956900e-08
0.3801711.6039923.947952e-08
0.382121.6036153.845768e-08
0.384081.6032413.743059e-08
0.386051.6028723.639824e-08
0.388031.6025073.536060e-08
0.391.602153.432800e-08
0.390021.6021473.431702e-08
0.392021.6017913.320689e-08
0.394031.6014393.209108e-08
0.3960511.6010913.096954e-08
0.3980821.6007472.984225e-08
0.41.6004272.877800e-08
0.4001241.6004072.876602e-08
0.4021761.6000712.856779e-08
0.4042391.5997392.836855e-08
0.4063121.5994112.816828e-08
0.4083961.5990862.796699e-08
0.410491.5987652.776467e-08
0.4125951.5984482.756130e-08
0.4147111.5981352.735690e-08
0.4168381.5978252.715144e-08
0.4189761.5975182.694494e-08
0.421.5973732.684600e-08
0.4211251.5972162.691786e-08
0.4232841.5969162.705587e-08
0.4254551.596622.719458e-08
0.4276371.5963272.733401e-08
0.429831.5960382.747415e-08
0.4320351.5957512.761501e-08
0.434251.5954682.775659e-08
0.4364771.5951882.789890e-08
0.4387161.5949112.804194e-08
0.441.5947552.812400e-08
0.4409661.5946382.765197e-08
0.4432271.5943672.654666e-08
0.44551.5940992.543568e-08
0.4477851.5938342.431901e-08
0.4500821.5935722.319661e-08
0.452391.5933132.206845e-08
0.454711.5930572.093451e-08
0.4570421.5928041.979475e-08
0.4593861.5925531.864915e-08
0.461.5924881.834900e-08
0.4617421.5923051.808432e-08
0.464111.592061.772450e-08
0.466491.5918171.736283e-08
0.4688831.5915771.699930e-08
0.4712871.591341.663391e-08
0.4737041.5911051.626665e-08
0.4761341.5908731.589750e-08
0.4785751.5906431.552646e-08
0.481.590511.531000e-08
0.481031.5904151.513725e-08
0.4834971.590191.472341e-08
0.4859761.5899681.430746e-08
0.4884691.5897471.388937e-08
0.4909741.5895291.346913e-08
0.4934921.5893141.304675e-08
0.4960231.58911.262219e-08
0.4985671.5888891.219546e-08
0.51.5887711.195500e-08
0.5011231.588681.198185e-08
0.5036931.5884731.204327e-08
0.5062771.5882681.210501e-08
0.5088731.5880661.216707e-08
0.5114831.5878651.222944e-08
0.5141061.5876671.229213e-08
0.5167431.587471.235515e-08
0.5193931.5872761.241849e-08
0.5220561.5870831.248215e-08
0.5247341.5868931.254614e-08
0.5274251.5867041.261046e-08
0.530131.5865181.267510e-08
0.5328491.5863331.274008e-08
0.5355811.586151.280540e-08
0.5383281.5859691.287104e-08
0.5410891.5857891.293703e-08
0.5438641.5856121.300335e-08
0.5466531.5854361.307001e-08
0.5494571.5852621.313701e-08
0.551.5852281.315000e-08
0.5522751.5850891.320436e-08
0.5551071.5849191.327206e-08
0.5579541.584751.334010e-08
0.5608151.5845821.340848e-08
0.5636911.5844171.347722e-08
0.5665821.5842531.354632e-08
0.5694881.584091.361576e-08
0.5724091.5839291.368557e-08
0.5753441.5837691.375573e-08
0.5782951.5836111.382625e-08
0.5812611.5834551.389713e-08
0.5842421.58331.396838e-08
0.5872381.5831461.403999e-08
0.590251.5829941.411197e-08
0.5932771.5828441.418432e-08
0.5963191.5826941.425703e-08
0.5993781.5825461.433013e-08
0.61.5825171.434500e-08
0.6024521.58241.440364e-08
0.6055411.5822551.447755e-08
0.6086471.5821111.455183e-08
0.6117681.5819681.462650e-08
0.6149061.5818271.470154e-08
0.6180591.5816871.477698e-08
0.6212291.5815481.485280e-08
0.6244151.5814111.492901e-08
0.6276171.5812741.500561e-08
0.6308361.5811391.508260e-08
0.6340711.5810051.515998e-08
0.6373231.5808721.523777e-08
0.6405921.5807411.531595e-08
0.6438771.580611.539454e-08
0.6471791.5804811.547352e-08
0.651.5803721.554100e-08
0.6504981.5803531.549727e-08
0.6538341.5802261.520443e-08
0.6571871.5800991.491009e-08
0.6605581.5799741.461424e-08
0.6639451.579851.431687e-08
0.6673511.5797271.401797e-08
0.6707731.5796051.371754e-08
0.6742131.5794841.341557e-08
0.6776711.5793641.311205e-08
0.6811461.5792451.280698e-08
0.684641.5791271.250034e-08
0.6881511.579011.219213e-08
0.691681.5788941.188234e-08
0.6952271.5787791.157095e-08
0.6987931.5786641.125798e-08
0.71.5786261.115200e-08
0.7023761.5785511.118986e-08
0.7059791.5784381.124724e-08
0.7095991.5783261.130492e-08
0.7132381.5782161.136289e-08
0.7168961.5781051.142116e-08
0.7205731.5779961.147973e-08
0.7242681.5778881.153860e-08
0.7279831.577781.159777e-08
0.7317161.5776731.165724e-08
0.7354691.5775671.171702e-08
0.7392411.5774621.177711e-08
0.7430321.5773571.183750e-08
0.7468431.5772531.189820e-08
0.7506731.577151.195922e-08
0.7545231.5770471.202055e-08
0.7583921.5769461.208219e-08
0.7622821.5768441.214415e-08
0.7661911.5767441.220642e-08
0.770121.5766441.226902e-08
0.774071.5765451.233194e-08
0.778041.5764471.239517e-08
0.782031.5763491.245874e-08
0.7860411.5762511.252263e-08
0.7900721.5761551.258685e-08
0.7941241.5760591.265139e-08
0.7981961.5759631.271627e-08
0.81.5759211.274500e-08
0.802291.5758681.278150e-08
0.8064051.5757741.284709e-08
0.810541.575681.291301e-08
0.8146971.5755871.297927e-08
0.8188751.5754941.304587e-08
0.8230751.5754021.311281e-08
0.8272961.575311.318010e-08
0.8315391.5752191.324773e-08
0.8358031.5751281.331571e-08
0.840091.5750381.338403e-08
0.8443981.5749481.345271e-08
0.8487291.5748581.352174e-08
0.851.5748321.354200e-08
0.8530821.5747691.359106e-08
0.8574571.5746811.366071e-08
0.8618541.5745931.373072e-08
0.8662741.5745051.380108e-08
0.8707171.5744181.387181e-08
0.8751821.5743311.394290e-08
0.8796711.5742441.401436e-08
0.8841821.5741581.408618e-08
0.8887171.5740721.415837e-08
0.8932741.5739871.423093e-08
0.8978561.5739021.430386e-08
0.91.5738621.433800e-08
0.902461.5738171.437722e-08
0.9070881.5737331.445099e-08
0.9117411.5736491.452514e-08
0.9164161.5735651.459968e-08
0.9211161.5734811.467459e-08
0.925841.5733981.474989e-08
0.9305881.5733151.482558e-08
0.9353611.5732321.490165e-08
0.9401581.573151.497812e-08
0.944981.5730681.505497e-08
0.9498261.5729861.513222e-08
0.951.5729831.513500e-08
0.9546971.5729041.520978e-08
0.9595931.5728231.528772e-08
0.9645151.5727411.536607e-08
0.9694611.572661.544482e-08
0.9744331.5725791.552397e-08
0.979431.5724991.560353e-08
0.9844531.5724181.568350e-08
0.9895021.5723381.576387e-08
0.9945771.5722571.584466e-08
0.9996781.5721771.592587e-08
11.5721721.593100e-08
1.00481.5720971.600755e-08
1.009961.5720181.608966e-08
1.015141.5719381.617219e-08
1.020341.5718581.625514e-08
1.025581.5717791.633851e-08
1.030841.57171.642232e-08
1.036121.571621.650655e-08
1.041441.5715411.659122e-08
1.046781.5714621.667632e-08
1.052151.5713831.676185e-08
1.057541.5713041.684783e-08
1.061.5712681.688700e-08
1.062971.5712251.693425e-08
1.068421.5711461.702113e-08
1.07391.5710671.710844e-08
1.07941.5709881.719621e-08
1.084941.5709091.728443e-08
1.09051.570831.737309e-08
1.09611.5707511.746222e-08
1.101721.5706721.755180e-08
1.107371.5705931.764184e-08
1.113051.5705141.773234e-08
1.118761.5704351.782330e-08
1.124491.5703561.791474e-08
1.130261.5702771.800664e-08
1.136061.5701981.809901e-08
1.141881.5701181.819185e-08
1.147741.5700391.828518e-08
1.153621.569961.837898e-08
1.159541.569881.847326e-08
1.165491.56981.856802e-08
1.171471.569721.866328e-08
1.177471.569641.875902e-08
1.183511.569561.885525e-08
1.189581.569481.895197e-08
1.195681.5693991.904919e-08
1.21.5693421.911800e-08
1.201811.5693192.036936e-08
1.207981.5692382.462071e-08
1.214171.5691572.889386e-08
1.22041.5690753.318893e-08
1.226661.5689943.750603e-08
1.232951.5689124.184527e-08
1.239271.568834.620676e-08
1.245631.5687485.059062e-08
1.252021.5686665.499696e-08
1.258441.5685835.942590e-08
1.264891.56856.387755e-08
1.271381.5684176.835203e-08
1.27791.5683347.284947e-08
1.284451.568257.736996e-08
1.291041.5681668.191364e-08
1.297661.5680828.648062e-08
1.304321.5679979.107103e-08
1.311011.5679129.568497e-08
1.317731.5678261.003226e-07
1.324491.5677411.049840e-07
1.331281.5676551.096693e-07
1.338111.5675681.143786e-07
1.344971.5674811.191121e-07
1.351871.5673941.238698e-07
1.35881.5673071.286520e-07
1.365771.5672191.334587e-07
1.372771.567131.382900e-07
1.379811.5670411.431461e-07
1.386891.5669521.480271e-07
1.3941.5668621.529332e-07
1.41.5667861.570700e-07
1.401151.5667721.567544e-07
1.408341.5666811.547855e-07
1.415561.566591.528065e-07
1.422821.5664981.508173e-07
1.430121.5664061.488180e-07
1.437451.5663131.468084e-07
1.444821.566221.447884e-07
1.452231.5661261.427582e-07
1.459681.5660321.407175e-07
1.467171.5659371.386663e-07
1.474691.5658421.366046e-07
1.482251.5657461.345324e-07
1.489861.5656491.324495e-07
1.49751.5655521.303559e-07
1.505181.5654541.282516e-07
1.51291.5653551.261365e-07
1.520651.5652561.240106e-07
1.528451.5651561.218737e-07
1.536291.5650561.197259e-07
1.544171.5649551.175671e-07
1.552091.5648531.153972e-07
1.560051.5647511.132162e-07
1.568051.5646471.110240e-07
1.576091.5645431.088205e-07
1.584181.5644391.066058e-07
1.59231.5643331.043797e-07
1.61.5642331.022700e-07
1.600471.5642271.026383e-07
1.608671.564121.091190e-07
1.616921.5640131.156329e-07
1.625221.5639041.221801e-07
1.633551.5637951.287610e-07
1.641931.5636841.353756e-07
1.650351.5635731.420241e-07
1.658811.5634621.487068e-07
1.667321.5633491.554237e-07
1.675871.5632351.621750e-07
1.684471.5631211.689610e-07
1.693111.5630051.757818e-07
1.701791.5628891.826375e-07
1.710521.5627721.895285e-07
1.719291.5626531.964547e-07
1.728111.5625342.034165e-07
1.736971.5624142.104140e-07
1.745881.5622932.174473e-07
1.754831.5621712.245168e-07
1.763831.5620482.316225e-07
1.772881.5619232.387646e-07
1.781971.5617982.459434e-07
1.791111.5616722.531590e-07
1.81.5615482.601800e-07
1.800291.5615442.606058e-07
1.809531.5614162.740100e-07
1.818811.5612862.874830e-07
1.828131.5611553.010250e-07
1.837511.5610233.146365e-07
1.846931.560893.283179e-07
1.856411.5607553.420693e-07
1.865931.560623.558914e-07
1.87551.5604833.697843e-07
1.885111.5603453.837484e-07
1.894781.5602063.977842e-07
1.90451.5600654.118919e-07
1.914271.5599234.260720e-07
1.924081.559784.403248e-07
1.933951.5596364.546507e-07
1.943871.559494.690501e-07
1.953841.5593434.835234e-07
1.963861.5591944.980708e-07
1.973931.5590445.126929e-07
1.984051.5588935.273900e-07
1.994231.558745.421624e-07
21.5586535.505400e-07
2.004461.5585855.846124e-07
2.014741.558436.632001e-07
2.025071.5582727.421908e-07
2.035461.5581138.215866e-07
2.045891.5579539.013897e-07
2.056391.5577919.816019e-07
2.066931.5576271.062226e-06
2.077531.5574621.143263e-06
2.088191.5572951.224715e-06
2.09891.5571271.306586e-06
2.109661.5569571.388876e-06
2.120481.5567851.471589e-06
2.131361.5566111.554725e-06
2.142291.5564361.638288e-06
2.153271.5562591.722280e-06
2.164321.556081.806702e-06
2.175421.5558991.891557e-06
2.186571.5557161.976847e-06
2.197791.5555322.062575e-06
2.21.5554952.079500e-06
2.209061.5553452.174015e-06
2.220391.5551572.292235e-06
2.231771.5549672.411061e-06
2.243221.5547742.530497e-06
2.254721.554582.650545e-06
2.266291.5543842.771209e-06
2.277911.5541852.892492e-06
2.289591.5539853.014397e-06
2.301331.5537823.136927e-06
2.313141.5535773.260085e-06
2.3251.553373.383875e-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
—