Optical constants

Refractive index of H-ZF52A (CDGM)

H-ZF52A: n,k 0.4047–1.014 µm

Data
formula 3 + tabulated k
Range
0.4047–1.014 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4047–1.014 µm
Refractive index n
1.84666
Extinction coefficient k
3.72280e-08
Permittivity ε1
3.41017
Permittivity ε2
1.37495e-07
Absorption coefficient α
0.00796155 cm⁻¹
Penetration depth δ = λ/(2πk)
2.51207e+09 nm
Abbe number Vd
23.791
Chromatic dispersion dn/dλ
-0.177743 µm⁻¹
Group index ng
1.95111
Group velocity dispersion
369.615 fs²/mm
Dispersion parameter D
-2016.44 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

# H-ZF52A (CDGM): H-ZF52A
cdgm_h_zf52a = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZF52A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zf52a.range_nm)  # (404.7, 1014) nm
eps = cdgm_h_zf52a.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=3.2506862−0.0133942217⁢λ2.0+0.0483625913⁢λ−2.0+0.00314442751⁢λ−4.0−0.000197073674⁢λ−6.0+3.47645679×10-5⁢λ−8.0

Valid from 0.4047 to 1.014 µm.

Coefficients as stored
CiValue
C13.2506862
C2-0.0133942217
C32.0
C40.0483625913
C5-2.0
C60.00314442751
C7-4.0
C8-0.000197073674
C9-6.0
C103.47645679e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -6.9e-06 1.71e-08 -4.57e-11 1.16e-06 8.99e-10 0.285
nd
1.846670
Vd
23.791236
glass code
847238
glass status
preferred
density
value: 3520
thermal expansion
value: 8.4e-06, temperature range: 243 343; value: 1.04e-05, temperature range: 293 573
dPgF
0.0151
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -2.12e-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 414 wavelengths, the same grid as the API and the library
H-ZF52A (CDGM), H-ZF52A: n and k versus wavelength
λ (µm)nk
0.40471.9142778.407902e-07
0.4056331.913578.174408e-07
0.4065681.9128697.940376e-07
0.4075051.9121737.705805e-07
0.4084441.9114847.470693e-07
0.4093851.91087.235039e-07
0.4103291.9101216.998842e-07
0.4112741.9094496.762101e-07
0.4122221.9087816.524814e-07
0.4131721.908126.286980e-07
0.4141241.9074636.048598e-07
0.4150791.9068125.809667e-07
0.4160351.9061665.570185e-07
0.4169941.9055265.330151e-07
0.4179551.904895.089564e-07
0.4189191.904264.848422e-07
0.4198841.9036354.606725e-07
0.421.903564.577700e-07
0.4208521.9030144.494172e-07
0.4218221.9023994.399056e-07
0.4227941.9017884.303720e-07
0.4237681.9011824.208165e-07
0.4247451.9005814.112390e-07
0.4257241.8999854.016393e-07
0.4267051.8993933.920176e-07
0.4276881.8988063.823737e-07
0.4286741.8982233.727075e-07
0.4296621.8976453.630191e-07
0.4306521.8970723.533083e-07
0.4316451.8965023.435752e-07
0.432641.8959373.338196e-07
0.4336371.8953773.240416e-07
0.4346361.894823.142410e-07
0.4356381.8942683.044178e-07
0.4366421.893722.945720e-07
0.4376481.8931762.847035e-07
0.4386571.8926362.748123e-07
0.4396681.89212.648982e-07
0.441.8919252.616400e-07
0.4406811.8915682.587313e-07
0.4416971.891042.543935e-07
0.4427151.8905162.500457e-07
0.4437351.8899962.456879e-07
0.4447581.889482.413201e-07
0.4457831.8889672.369422e-07
0.446811.8884582.325542e-07
0.447841.8879532.281562e-07
0.4488721.8874512.237479e-07
0.4499061.8869542.193295e-07
0.4509431.8864592.149010e-07
0.4519831.8859682.104622e-07
0.4530241.8854812.060132e-07
0.4540681.8849972.015539e-07
0.4551151.8845171.970844e-07
0.4561641.884041.926045e-07
0.4572151.8835661.881144e-07
0.4582691.8830961.836139e-07
0.4593251.8826291.791030e-07
0.461.8823331.762200e-07
0.4603841.8821651.753744e-07
0.4614451.8817051.730353e-07
0.4625081.8812471.706909e-07
0.4635741.8807931.683410e-07
0.4646421.8803421.659857e-07
0.4657131.8798951.636250e-07
0.4667871.879451.612589e-07
0.4678621.8790081.588873e-07
0.4689411.8785691.565102e-07
0.4700211.8781341.541277e-07
0.4711051.8777011.517397e-07
0.472191.8772711.493461e-07
0.4732791.8768441.469471e-07
0.4743691.876421.445425e-07
0.4754631.8759991.421324e-07
0.4765591.8755811.397167e-07
0.4776571.8751651.372955e-07
0.4787581.8747521.348686e-07
0.4798611.8743421.324362e-07
0.481.8742911.321300e-07
0.4809671.8739351.306123e-07
0.4820761.873531.288725e-07
0.4831871.8731281.271287e-07
0.48431.8727291.253809e-07
0.4854161.8723321.236291e-07
0.4865351.8719381.218733e-07
0.4876561.8715461.201134e-07
0.488781.8711581.183494e-07
0.4899071.8707711.165814e-07
0.4910361.8703871.148093e-07
0.4921671.8700061.130331e-07
0.4933021.8696271.112529e-07
0.4944391.869251.094685e-07
0.4955781.8688761.076800e-07
0.496721.8685041.058874e-07
0.4978651.8681351.040907e-07
0.4990131.8677681.022898e-07
0.51.8674541.007400e-07
0.5001631.8674031.005698e-07
0.5013151.8670419.936338e-08
0.5024711.866689.815419e-08
0.5036291.8663239.694221e-08
0.5047891.8659679.572744e-08
0.5059531.8656149.450986e-08
0.5071191.8652639.328949e-08
0.5082881.8649149.206629e-08
0.5094591.8645679.084028e-08
0.5106331.8642228.961145e-08
0.511811.863888.837978e-08
0.512991.8635398.714528e-08
0.5141721.8632018.590792e-08
0.5153571.8628658.466772e-08
0.5165451.8625318.342466e-08
0.5177351.8621998.217873e-08
0.5189281.8618698.092994e-08
0.5201241.8615417.967826e-08
0.5213231.8612157.842370e-08
0.5225251.8608917.716625e-08
0.5237291.8605697.590590e-08
0.5249361.8602497.464264e-08
0.5261461.8599317.337648e-08
0.5273581.8596147.210739e-08
0.5285741.85937.083538e-08
0.5297921.8589886.956044e-08
0.5310131.8586776.828257e-08
0.5322371.8583686.700174e-08
0.5334631.8580616.571797e-08
0.5346931.8577566.443123e-08
0.5359251.8574536.314153e-08
0.537161.8571526.184886e-08
0.5383981.8568526.055321e-08
0.5396391.8565545.925457e-08
0.5408831.8562585.795294e-08
0.5421291.8559645.664831e-08
0.5433791.8556715.534067e-08
0.5446311.855385.403002e-08
0.5458861.8550915.271635e-08
0.5471441.8548035.139965e-08
0.5484051.8545175.007992e-08
0.5496691.8542334.875714e-08
0.551.8541594.841100e-08
0.5509361.8539514.813259e-08
0.5522061.853674.775495e-08
0.5534781.853394.737643e-08
0.5547541.8531134.699704e-08
0.5560331.8528374.661678e-08
0.5573141.8525624.623564e-08
0.5585991.8522894.585363e-08
0.5598861.8520184.547073e-08
0.5611761.8517484.508695e-08
0.562471.851484.470229e-08
0.5637661.8512134.431674e-08
0.5650651.8509484.393030e-08
0.5663681.8506844.354297e-08
0.5676731.8504224.315475e-08
0.5689811.8501614.276563e-08
0.5702921.8499024.237561e-08
0.5716071.8496444.198470e-08
0.5729241.8493884.159289e-08
0.5742451.8491334.120017e-08
0.5755681.8488794.080655e-08
0.5768951.8486274.041202e-08
0.5782241.8483774.001658e-08
0.5795571.8481273.962023e-08
0.5808921.8478793.922297e-08
0.5822311.8476333.882479e-08
0.5835731.8473883.842570e-08
0.5849181.8471443.802568e-08
0.5862661.8469023.762474e-08
0.5876171.8466613.722288e-08
0.5889721.8464213.682009e-08
0.5903291.8461823.641637e-08
0.5916891.8459453.601173e-08
0.5930531.8457093.560615e-08
0.594421.8454753.519963e-08
0.595791.8452423.479218e-08
0.5971631.845013.438379e-08
0.5985391.8447793.397446e-08
0.5999191.844553.356419e-08
0.61.8445363.354000e-08
0.6013011.8443213.347725e-08
0.6026871.8440943.341043e-08
0.6040761.8438693.334345e-08
0.6054681.8436443.327632e-08
0.6068641.8434213.320903e-08
0.6082621.8431993.314159e-08
0.6096641.8429783.307399e-08
0.6110691.8427583.300624e-08
0.6124781.8425393.293833e-08
0.6138891.8423223.287026e-08
0.6153041.8421063.280204e-08
0.6167221.8418913.273366e-08
0.6181431.8416773.266512e-08
0.6195681.8414643.259643e-08
0.6209961.8412523.252757e-08
0.6224271.8410423.245856e-08
0.6238621.8408323.238939e-08
0.62531.8406243.232006e-08
0.6267411.8404173.225057e-08
0.6281851.8402113.218092e-08
0.6296331.8400063.211110e-08
0.6310841.8398023.204113e-08
0.6325381.8395993.197100e-08
0.6339961.8393973.190070e-08
0.6354571.8391963.183025e-08
0.6369221.8389973.175963e-08
0.638391.8387983.168884e-08
0.6398611.83863.161790e-08
0.6413361.8384043.154679e-08
0.6428141.8382083.147552e-08
0.6442951.8380133.140408e-08
0.645781.837823.133248e-08
0.6472691.8376273.126071e-08
0.648761.8374353.118878e-08
0.651.8372773.112900e-08
0.6502551.8372453.108402e-08
0.6517541.8370553.082017e-08
0.6532561.8368673.055571e-08
0.6547621.8366793.029064e-08
0.6562711.8364923.002497e-08
0.6577831.8363062.975867e-08
0.6592991.8361212.949177e-08
0.6608191.8359382.922425e-08
0.6623421.8357552.895611e-08
0.6638681.8355722.868736e-08
0.6653981.8353912.841799e-08
0.6669321.8352112.814799e-08
0.6684691.8350322.787738e-08
0.6700091.8348532.760614e-08
0.6715541.8346762.733427e-08
0.6731011.8344992.706178e-08
0.6746531.8343242.678866e-08
0.6762071.8341492.651491e-08
0.6777661.8339752.624053e-08
0.6793281.8338022.596552e-08
0.6808941.8336292.568987e-08
0.6824631.8334582.541359e-08
0.6840361.8332872.513667e-08
0.6856121.8331182.485912e-08
0.6871921.8329492.458092e-08
0.6887761.8327812.430208e-08
0.6903631.8326142.402260e-08
0.6919551.8324472.374248e-08
0.6935491.8322822.346171e-08
0.6951481.8321172.318029e-08
0.696751.8319532.289823e-08
0.6983561.831792.261551e-08
0.6999651.8316282.233214e-08
0.71.8316242.232600e-08
0.7015781.8314662.217478e-08
0.7031951.8313052.201987e-08
0.7048161.8311452.186459e-08
0.706441.8309862.170896e-08
0.7080681.8308282.155297e-08
0.70971.830672.139662e-08
0.7113361.8305132.123991e-08
0.7129751.8303572.108284e-08
0.7146181.8302012.092540e-08
0.7162651.8300472.076761e-08
0.7179161.8298932.060945e-08
0.7195711.829742.045092e-08
0.7212291.8295872.029203e-08
0.7228911.8294352.013278e-08
0.7245571.8292841.997315e-08
0.7262271.8291341.981316e-08
0.7279011.8289841.965280e-08
0.7295791.8288361.949207e-08
0.731261.8286871.933097e-08
0.7329451.828541.916950e-08
0.7346351.8283931.900766e-08
0.7363281.8282471.884544e-08
0.7380251.8281021.868285e-08
0.7397261.8279571.851989e-08
0.741431.8278131.835655e-08
0.7431391.8276691.819283e-08
0.7448521.8275271.802874e-08
0.7465691.8273851.786426e-08
0.7482891.8272431.769941e-08
0.7500141.8271031.753418e-08
0.7517421.8269621.736857e-08
0.7534751.8268231.720258e-08
0.7552111.8266841.703620e-08
0.7569521.8265461.686944e-08
0.7586961.8264081.670230e-08
0.7604451.8262721.653477e-08
0.7621981.8261351.636685e-08
0.7639541.8261.619855e-08
0.7657151.8258651.602986e-08
0.767481.825731.586078e-08
0.7692481.8255961.569131e-08
0.7710211.8254631.552145e-08
0.7727981.825331.535120e-08
0.7745791.8251981.518056e-08
0.7763641.8250671.500952e-08
0.7781541.8249361.483809e-08
0.7799471.8248061.466626e-08
0.7817451.8246761.449404e-08
0.7835461.8245471.432142e-08
0.7853521.8244181.414841e-08
0.7871621.824291.397499e-08
0.7889761.8241631.380118e-08
0.7907951.8240361.362696e-08
0.7926171.823911.345235e-08
0.7944441.8237841.327733e-08
0.7962751.8236591.310190e-08
0.798111.8235341.292608e-08
0.7999491.823411.274984e-08
0.81.8234071.274500e-08
0.8017931.8232871.277358e-08
0.8036411.8231641.280304e-08
0.8054931.8230411.283256e-08
0.807351.8229191.286215e-08
0.809211.8227981.289181e-08
0.8110751.8226771.292154e-08
0.8129441.8225571.295133e-08
0.8148181.8224371.298120e-08
0.8166961.8223171.301113e-08
0.8185781.8221981.304114e-08
0.8204651.822081.307121e-08
0.8223561.8219621.310135e-08
0.8242511.8218451.313156e-08
0.8261511.8217281.316184e-08
0.8280551.8216121.319219e-08
0.8299631.8214961.322261e-08
0.8318761.821381.325310e-08
0.8337931.8212651.328366e-08
0.8357151.8211511.331429e-08
0.8376411.8210371.334499e-08
0.8395711.8209241.337576e-08
0.8415061.8208111.340661e-08
0.8434461.8206981.343752e-08
0.8453891.8205861.346851e-08
0.8473381.8204741.349956e-08
0.8492911.8203631.353069e-08
0.851.8203231.354200e-08
0.8512481.8202521.356187e-08
0.853211.8201421.359310e-08
0.8551761.8200321.362441e-08
0.8571471.8199231.365578e-08
0.8591231.8198141.368723e-08
0.8611031.8197051.371875e-08
0.8630871.8195971.375035e-08
0.8650761.819491.378202e-08
0.867071.8193831.381376e-08
0.8690681.8192761.384557e-08
0.8710711.8191691.387746e-08
0.8730791.8190631.390942e-08
0.8750911.8189581.394145e-08
0.8771081.8188531.397356e-08
0.8791291.8187481.400574e-08
0.8811551.8186441.403799e-08
0.8831861.818541.407032e-08
0.8852221.8184361.410273e-08
0.8872621.8183331.413521e-08
0.8893071.8182311.416776e-08
0.8913561.8181281.420039e-08
0.8934111.8180261.423310e-08
0.895471.8179251.426588e-08
0.8975331.8178241.429873e-08
0.8996021.8177231.433166e-08
0.91.8177041.433800e-08
0.9016751.8176231.436470e-08
0.9037531.8175231.439783e-08
0.9058361.8174231.443103e-08
0.9079241.8173241.446431e-08
0.9100161.8172251.449766e-08
0.9121141.8171261.453109e-08
0.9142161.8170281.456460e-08
0.9163231.816931.459818e-08
0.9184351.8168331.463185e-08
0.9205511.8167361.466559e-08
0.9226731.8166391.469941e-08
0.9247991.8165431.473330e-08
0.9269311.8164471.476728e-08
0.9290671.8163511.480133e-08
0.9312081.8162561.483546e-08
0.9333541.8161611.486967e-08
0.9355051.8160661.490396e-08
0.9376611.8159721.493832e-08
0.9398221.8158781.497277e-08
0.9419881.8157841.500730e-08
0.9441591.8156911.504190e-08
0.9463351.8155981.507659e-08
0.9485161.8155051.511135e-08
0.951.8154421.513500e-08
0.9507031.8154121.514618e-08
0.9528941.815321.518107e-08
0.955091.8152291.521603e-08
0.9572911.8151371.525107e-08
0.9594971.8150461.528619e-08
0.9617081.8149551.532140e-08
0.9639251.8148651.535668e-08
0.9661461.8147751.539205e-08
0.9683731.8146851.542750e-08
0.9706051.8145951.546303e-08
0.9728421.8145061.549864e-08
0.9750841.8144171.553434e-08
0.9773311.8143281.557011e-08
0.9795841.814241.560597e-08
0.9818411.8141521.564191e-08
0.9841041.8140641.567794e-08
0.9863721.8139761.571405e-08
0.9886451.8138891.575024e-08
0.9909241.8138021.578651e-08
0.9932081.8137151.582287e-08
0.9954971.8136291.585931e-08
0.9977911.8135421.589583e-08
11.813461.593100e-08
1.000091.8134561.593245e-08
1.00241.8133711.596917e-08
1.004711.8132851.600598e-08
1.007021.81321.604287e-08
1.009341.8131151.607985e-08
1.011671.8130311.611692e-08
1.0141.8129461.615407e-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
—