Optical constants

Refractive index of ZBAF17 (CDGM)

ZBAF17: n,k 0.365–1.014 µm

Data
formula 3 + tabulated k
Range
0.365–1.014 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–1.014 µm
Refractive index n
1.66755
Extinction coefficient k
4.48047e-08
Permittivity ε1
2.78073
Permittivity ε2
1.49428e-07
Absorption coefficient α
0.00958189 cm⁻¹
Penetration depth δ = λ/(2πk)
2.08727e+09 nm
Abbe number Vd
41.957
Chromatic dispersion dn/dλ
-0.0810418 µm⁻¹
Group index ng
1.71517
Group velocity dispersion
153.911 fs²/mm
Dispersion parameter D
-839.668 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

# ZBAF17 (CDGM): ZBAF17
cdgm_zbaf17 = ls.fetch_refractiveindex("specs", "CDGM-optical", "ZBAF17", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_zbaf17.range_nm)  # (365, 1014) nm
eps = cdgm_zbaf17.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

Polynomial (formula 3), λ in µm
n2=2.7114815−0.0083031047⁢λ2.0+0.023733195⁢λ−2.0+0.00028197729⁢λ−4.0+3.9409899×10-5⁢λ−6.0+7.1756265×10-7⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C12.7114815
C2-0.0083031047
C32.0
C40.023733195
C5-2.0
C60.00028197729
C7-4.0
C83.9409899e-05
C9-6.0
C107.1756265e-07
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.29e-08 1.54e-08 -1.58e-11 7.94e-07 1.05e-09 0.24
nd
1.667554
Vd
41.957211
glass code
668419
glass status
preferred
density
value: 3800
thermal expansion
value: 7.8e-06, temperature range: 243 343; value: 9.1e-06, temperature range: 293 573
dPgF
-0.0014
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.25e-06 K⁻¹ at 633 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 418 wavelengths, the same grid as the API and the library
ZBAF17 (CDGM), ZBAF17: n and k versus wavelength
λ (µm)nk
0.3651.7097812.757100e-06
0.3659361.7093782.550830e-06
0.3668741.7089782.344030e-06
0.3678151.7085812.136701e-06
0.3687581.7081881.928839e-06
0.3697041.7077971.720445e-06
0.371.7076751.655100e-06
0.3706511.7074091.601340e-06
0.3716021.7070251.522912e-06
0.3725551.7066431.444284e-06
0.373511.7062641.365454e-06
0.3744681.7058891.286421e-06
0.3754281.7055161.207186e-06
0.376391.7051451.127748e-06
0.3773561.7047781.048107e-06
0.3783231.7044149.682606e-07
0.3792931.7040528.882099e-07
0.381.7037918.298800e-07
0.3802661.7036938.196936e-07
0.3812411.7033377.823127e-07
0.3822181.7029837.448360e-07
0.3831981.7026327.072633e-07
0.3841811.7022836.695941e-07
0.3851661.7019386.318284e-07
0.3861541.7015945.939659e-07
0.3871441.7012545.560062e-07
0.3881361.7009165.179493e-07
0.3891321.700584.797947e-07
0.391.700294.465000e-07
0.3901291.7002474.440689e-07
0.391131.6999164.252628e-07
0.3921331.6995874.064084e-07
0.3931381.6992623.875058e-07
0.3941461.6989383.685546e-07
0.3951571.6986173.495549e-07
0.396171.6982983.305064e-07
0.3971861.6979813.114091e-07
0.3982041.6976672.922629e-07
0.3992251.6973552.730675e-07
0.41.697122.585000e-07
0.4002491.6970452.567658e-07
0.4012751.6967382.496116e-07
0.4023041.6964322.424391e-07
0.4033351.6961292.352483e-07
0.404371.6958282.280389e-07
0.4054071.6955292.208111e-07
0.4064461.6952322.135648e-07
0.4074881.6949372.062999e-07
0.4085331.6946451.990163e-07
0.4095811.6943541.917141e-07
0.4106311.6940661.843932e-07
0.4116841.6937791.770535e-07
0.4127391.6934951.696949e-07
0.4137981.6932121.623175e-07
0.4148591.6929321.549212e-07
0.4159221.6926531.475059e-07
0.4169891.6923761.400716e-07
0.4180581.6921021.326183e-07
0.419131.6918291.251458e-07
0.421.6916091.190800e-07
0.4202051.6915581.186588e-07
0.4212821.6912891.164398e-07
0.4223621.6910211.142152e-07
0.4234451.6907561.119849e-07
0.4245311.6904921.097488e-07
0.4256191.690231.075071e-07
0.4267111.689971.052595e-07
0.4278051.6897121.030062e-07
0.4289021.6894551.007472e-07
0.4300021.68929.848231e-08
0.4311041.6889479.621164e-08
0.4322091.6886969.393515e-08
0.4333181.6884469.165282e-08
0.4344291.6881988.936464e-08
0.4355431.6879528.707059e-08
0.4366591.6877078.477066e-08
0.4377791.6874648.246483e-08
0.4389021.6872228.015309e-08
0.441.6869887.789100e-08
0.4400271.6869827.787059e-08
0.4411551.6867447.701728e-08
0.4422861.6865077.616179e-08
0.443421.6862727.530410e-08
0.4445571.6860387.444421e-08
0.4456971.6858067.358212e-08
0.446841.6855757.271781e-08
0.4479861.6853467.185129e-08
0.4491351.6851187.098255e-08
0.4502861.6848927.011158e-08
0.4514411.6846676.923838e-08
0.4525981.6844446.836293e-08
0.4537591.6842226.748525e-08
0.4549221.6840026.660531e-08
0.4560891.6837836.572312e-08
0.4572581.6835656.483866e-08
0.4584311.6833496.395194e-08
0.4596061.6831346.306294e-08
0.461.6830636.276500e-08
0.4607851.6829216.226357e-08
0.4619661.6827096.150842e-08
0.4631511.6824986.075133e-08
0.4643381.6822895.999231e-08
0.4655291.6820815.923133e-08
0.4667221.6818745.846841e-08
0.4679191.6816695.770353e-08
0.4691191.6814645.693669e-08
0.4703221.6812615.616788e-08
0.4715281.681065.539710e-08
0.4727371.680865.462434e-08
0.4739491.680665.384960e-08
0.4751641.6804635.307288e-08
0.4763821.6802665.229416e-08
0.4776041.6800715.151345e-08
0.4788291.6798765.073074e-08
0.481.6796924.998200e-08
0.4800561.6796834.996519e-08
0.4812871.6794924.959764e-08
0.4825211.6793014.922915e-08
0.4837581.6791124.885971e-08
0.4849991.6789234.848933e-08
0.4862421.6787364.811800e-08
0.4874891.678554.774571e-08
0.4887391.6783654.737247e-08
0.4899921.6781824.699828e-08
0.4912491.6779994.662312e-08
0.4925081.6778174.624700e-08
0.4937711.6776374.586992e-08
0.4950371.6774584.549187e-08
0.4963071.677284.511285e-08
0.4975791.6771024.473286e-08
0.4988551.6769264.435190e-08
0.51.676774.401000e-08
0.5001341.6767514.398625e-08
0.5014161.6765774.375914e-08
0.5027021.6764044.353145e-08
0.5039911.6762324.330317e-08
0.5052831.6760624.307431e-08
0.5065791.6758924.284486e-08
0.5078781.6757234.261482e-08
0.509181.6755554.238420e-08
0.5104861.6753884.215298e-08
0.5117951.6752224.192117e-08
0.5131071.6750574.168876e-08
0.5144231.6748934.145576e-08
0.5157421.674734.122216e-08
0.5170641.6745684.098796e-08
0.518391.6744074.075316e-08
0.5197191.6742474.051776e-08
0.5210521.6740884.028176e-08
0.5223881.673934.004515e-08
0.5237271.6737733.980793e-08
0.525071.6736163.957011e-08
0.5264161.6734613.933167e-08
0.5277661.6733063.909263e-08
0.5291191.6731523.885297e-08
0.5304761.6729993.861270e-08
0.5318361.6728473.837181e-08
0.53321.6726963.813030e-08
0.5345671.6725463.788818e-08
0.5359381.6723973.764543e-08
0.5373121.6722483.740206e-08
0.538691.6721013.715807e-08
0.5400711.6719543.691345e-08
0.5414561.6718083.666820e-08
0.5428441.6716633.642233e-08
0.5442361.6715183.617582e-08
0.5456311.6713753.592868e-08
0.547031.6712323.568091e-08
0.5484331.671093.543251e-08
0.5498391.6709493.518346e-08
0.551.6709333.515500e-08
0.5512491.6708093.547557e-08
0.5526631.6706693.583832e-08
0.554081.6705313.620200e-08
0.55551.6703933.656661e-08
0.5569251.6702563.693215e-08
0.5583531.6701193.729864e-08
0.5597841.6699833.766606e-08
0.561221.6698493.803442e-08
0.5626591.6697143.840373e-08
0.5641011.6695813.877399e-08
0.5655481.6694483.914519e-08
0.5669981.6693163.951735e-08
0.5684521.6691853.989046e-08
0.5699091.6690554.026453e-08
0.5713711.6689254.063956e-08
0.5728361.6687964.101554e-08
0.5743041.6686674.139250e-08
0.5757771.668544.177042e-08
0.5772531.6684134.214930e-08
0.5787331.6682864.252916e-08
0.5802171.6681614.291000e-08
0.5817051.6680364.329181e-08
0.5831971.6679124.367460e-08
0.5846921.6677884.405837e-08
0.5861911.6676654.444312e-08
0.5876941.6675434.482886e-08
0.5892011.6674214.521560e-08
0.5907121.6673014.560332e-08
0.5922271.667184.599203e-08
0.5937451.6670614.638175e-08
0.5952681.6669424.677246e-08
0.5967941.6668234.716417e-08
0.5983241.6667064.755689e-08
0.5998581.6665884.795062e-08
0.61.6665784.798700e-08
0.6013961.6664724.809868e-08
0.6029381.6663564.822201e-08
0.6044841.6662414.834566e-08
0.6060341.6661264.846962e-08
0.6075881.6660124.859391e-08
0.6091461.6658994.871851e-08
0.6107081.6657864.884343e-08
0.6122741.6656744.896867e-08
0.6138441.6655624.909423e-08
0.6154181.6654514.922012e-08
0.6169961.665344.934632e-08
0.6185781.665234.947285e-08
0.6201641.6651214.959971e-08
0.6217541.6650124.972689e-08
0.6233481.6649044.985440e-08
0.6249471.6647964.998223e-08
0.6265491.6646895.011039e-08
0.6281561.6645835.023888e-08
0.6297661.6644775.036770e-08
0.6313811.6643715.049685e-08
0.6331.6642665.062633e-08
0.6346231.6641625.075614e-08
0.636251.6640585.088629e-08
0.6378821.6639555.101677e-08
0.6395171.6638525.114758e-08
0.6411571.663755.127873e-08
0.6428011.6636485.141022e-08
0.6444491.6635475.154204e-08
0.6461021.6634465.167420e-08
0.6477581.6633465.180670e-08
0.6494191.6632465.193954e-08
0.651.6632115.198600e-08
0.6510841.6631475.207272e-08
0.6527541.6630485.220624e-08
0.6544271.662955.234011e-08
0.6561051.6628525.247431e-08
0.6577881.6627555.260886e-08
0.6594741.6626585.274376e-08
0.6611651.6625625.287900e-08
0.6628611.6624665.301459e-08
0.664561.662375.315053e-08
0.6662641.6622765.328681e-08
0.6679731.6621815.342345e-08
0.6696851.6620875.356043e-08
0.6714021.6619945.369777e-08
0.6731241.6619015.383546e-08
0.674851.6618085.397350e-08
0.676581.6617165.411189e-08
0.6783151.6616245.425064e-08
0.6800541.6615335.438975e-08
0.6817981.6614425.452921e-08
0.6835461.6613525.466903e-08
0.6852991.6612625.480921e-08
0.6870561.6611725.494975e-08
0.6888181.6610835.509065e-08
0.6905841.6609955.523191e-08
0.6923551.6609075.537353e-08
0.694131.6608195.551551e-08
0.695911.6607315.565786e-08
0.6976941.6606445.580058e-08
0.6994831.6605585.594366e-08
0.71.6605335.598500e-08
0.7012771.6604725.592307e-08
0.7030751.6603865.583584e-08
0.7048771.6603015.574839e-08
0.7066851.6602165.566072e-08
0.7084971.6601315.557282e-08
0.7103131.6600475.548469e-08
0.7121351.6599635.539634e-08
0.7139611.659885.530776e-08
0.7157911.6597975.521896e-08
0.7176271.6597155.512992e-08
0.7194671.6596325.504066e-08
0.7213121.6595515.495117e-08
0.7231611.6594695.486145e-08
0.7250151.6593885.477150e-08
0.7268741.6593075.468132e-08
0.7287381.6592275.459091e-08
0.7306071.6591475.450027e-08
0.732481.6590675.440939e-08
0.7343581.6589885.431829e-08
0.7362411.6589095.422694e-08
0.7381291.6588315.413537e-08
0.7400221.6587535.404356e-08
0.7419191.6586755.395151e-08
0.7438211.6585975.385923e-08
0.7457291.658525.376671e-08
0.7476411.6584445.367395e-08
0.7495581.6583675.358096e-08
0.751481.6582915.348772e-08
0.7534061.6582155.339425e-08
0.7553381.658145.330054e-08
0.7572751.6580655.320659e-08
0.7592171.657995.311239e-08
0.7611631.6579155.301796e-08
0.7631151.6578415.292328e-08
0.7650721.6577685.282837e-08
0.7670341.6576945.273320e-08
0.7691.6576215.263780e-08
0.7709721.6575485.254214e-08
0.7729491.6574765.244625e-08
0.7749311.6574035.235011e-08
0.7769181.6573315.225372e-08
0.778911.657265.215708e-08
0.7809071.6571895.206020e-08
0.7829091.6571185.196307e-08
0.7849171.6570475.186568e-08
0.7869291.6569765.176805e-08
0.7889471.6569065.167017e-08
0.790971.6568375.157204e-08
0.7929981.6567675.147366e-08
0.7950321.6566985.137502e-08
0.797071.6566295.127613e-08
0.7991141.656565.117699e-08
0.81.6565315.113400e-08
0.8011631.6564925.184393e-08
0.8032171.6564245.309809e-08
0.8052771.6563565.435547e-08
0.8073411.6562885.561607e-08
0.8094111.6562215.687990e-08
0.8114871.6561545.814697e-08
0.8135681.6560875.941730e-08
0.8156541.6560216.069088e-08
0.8177451.6559556.196772e-08
0.8198421.6558896.324784e-08
0.8219441.6558236.453124e-08
0.8240521.6557586.581793e-08
0.8261641.6556936.710793e-08
0.8282831.6556286.840122e-08
0.8304071.6555636.969784e-08
0.8325361.6554997.099778e-08
0.8346711.6554357.230105e-08
0.8368111.6553717.360767e-08
0.8389561.6553077.491763e-08
0.8411081.6552447.623096e-08
0.8432641.6551817.754765e-08
0.8454261.6551187.886771e-08
0.8475941.6550558.019117e-08
0.8497671.6549938.151801e-08
0.851.6549868.166000e-08
0.8519461.654938.043966e-08
0.8541311.6548687.907001e-08
0.8563211.6548077.769684e-08
0.8585171.6547457.632014e-08
0.8607181.6546847.493992e-08
0.8629251.6546237.355616e-08
0.8651371.6545627.216885e-08
0.8673561.6545027.077799e-08
0.869581.6544416.938356e-08
0.8718091.6543816.798555e-08
0.8740451.6543216.658396e-08
0.8762861.6542616.517877e-08
0.8785331.6542026.376998e-08
0.8807851.6541436.235758e-08
0.8830441.6540836.094156e-08
0.8853081.6540255.952191e-08
0.8875781.6539665.809861e-08
0.8898541.6539075.667167e-08
0.8921351.6538495.524107e-08
0.8944231.6537915.380680e-08
0.8967161.6537335.236885e-08
0.8990161.6536765.092722e-08
0.91.6536515.031000e-08
0.9013211.6536184.958105e-08
0.9036321.6535614.830553e-08
0.9059491.6535044.702673e-08
0.9082721.6534474.574466e-08
0.9106011.653394.445930e-08
0.9129351.6533344.317065e-08
0.9152761.6532774.187869e-08
0.9176231.6532214.058342e-08
0.9199761.6531653.928482e-08
0.9223351.653113.798290e-08
0.92471.6530543.667764e-08
0.9270711.6529993.536903e-08
0.9294481.6529433.405707e-08
0.9318311.6528883.274174e-08
0.934221.6528333.142304e-08
0.9366161.6527793.010096e-08
0.9390171.6527242.877549e-08
0.9414251.652672.744662e-08
0.9438391.6526162.611434e-08
0.9462591.6525622.477865e-08
0.9486851.6525082.343953e-08
0.951.6524792.271400e-08
0.9511181.6524542.256234e-08
0.9535571.6524012.223150e-08
0.9560021.6523472.189981e-08
0.9584531.6522942.156727e-08
0.9609111.6522412.123388e-08
0.9633741.6521882.089963e-08
0.9658451.6521352.056453e-08
0.9683211.6520832.022856e-08
0.9708041.652031.989174e-08
0.9732931.6519781.955405e-08
0.9757891.6519261.921550e-08
0.9782911.6518741.887608e-08
0.9807991.6518221.853578e-08
0.9833141.651771.819462e-08
0.9858351.6517191.785258e-08
0.9883631.6516671.750966e-08
0.9908971.6516161.716587e-08
0.9934381.6515651.682119e-08
0.9959851.6515141.647563e-08
0.9985391.6514631.612918e-08
11.6514341.593100e-08
1.00111.6514121.594852e-08
1.003671.6513611.598942e-08
1.006241.6513111.603042e-08
1.008821.6512611.607153e-08
1.011411.651211.611275e-08
1.0141.651161.615407e-08

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
—