Optical constants

Refractive index of ZF52 (CDGM)

ZF52: 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
1.84666
Extinction coefficient k
1.40486e-08
Permittivity ε1
3.41016
Permittivity ε2
5.18862e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
23.828
Chromatic dispersion dn/dλ
-0.177487 µm⁻¹
Group index ng
1.95095
Group velocity dispersion
369.604 fs²/mm
Dispersion parameter D
-2016.38 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

# ZF52 (CDGM): ZF52
cdgm_zf52 = ls.fetch_refractiveindex("specs", "CDGM-optical", "ZF52", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_zf52.range_nm)  # (365, 1014) nm
eps = cdgm_zf52.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=3.242645−0.00779545833⁢λ2.0+0.0533808621⁢λ−2.0+0.00151154152⁢λ−4.0+7.22194744×10-5⁢λ−6.0+1.6602659×10-5⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C13.242645
C2-0.00779545833
C32.0
C40.0533808621
C5-2.0
C60.00151154152
C7-4.0
C87.22194744e-05
C9-6.0
C101.6602659e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 5.94e-06 2.59e-08 -2.29e-10 1.88e-06 1.39e-09 0.284
nd
1.846669
Vd
23.827549
glass code
847238
glass status
preferred
density
value: 5490
thermal expansion
value: 8.6e-06, temperature range: 243 343; value: 9.9e-06, temperature range: 293 573
dPgF
0.014
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 7.66e-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
ZF52 (CDGM), ZF52: n and k versus wavelength
λ (µm)nk
0.3651.95219.294400e-06
0.3659361.9509598.564667e-06
0.3668741.9498297.833063e-06
0.3678151.9487117.099582e-06
0.3687581.9476056.364222e-06
0.3697041.9465095.626975e-06
0.371.9461685.395800e-06
0.3706511.9454245.197259e-06
0.3716021.9443514.907621e-06
0.3725551.9432884.617239e-06
0.373511.9422354.326114e-06
0.3744681.9411944.034242e-06
0.3754281.9401623.741621e-06
0.376391.9391413.448250e-06
0.3773561.9381293.154127e-06
0.3783231.9371282.859250e-06
0.3792931.9361362.563617e-06
0.381.9354212.348200e-06
0.3802661.9351542.316406e-06
0.3812411.9341822.199734e-06
0.3822181.9332192.082762e-06
0.3831981.9322651.965490e-06
0.3841811.9313211.847918e-06
0.3851661.9303851.730044e-06
0.3861541.9294591.611868e-06
0.3871441.9285411.493389e-06
0.3881361.9276321.374606e-06
0.3891321.9267321.255519e-06
0.391.9259551.151600e-06
0.3901291.925841.144877e-06
0.391131.9249561.092869e-06
0.3921331.9240811.040728e-06
0.3931381.9232149.884527e-07
0.3941461.9223559.360437e-07
0.3951571.9215038.835004e-07
0.396171.920668.308223e-07
0.3971861.9198257.780091e-07
0.3982041.9189977.250605e-07
0.3992251.9181776.719762e-07
0.41.917566.316900e-07
0.4002491.9173646.268495e-07
0.4012751.9165586.068813e-07
0.4023041.915765.868620e-07
0.4033351.9149695.667912e-07
0.404371.9141865.466691e-07
0.4054071.9134095.264953e-07
0.4064461.9126395.062698e-07
0.4074881.9118764.859925e-07
0.4085331.911124.656631e-07
0.4095811.910374.452816e-07
0.4106311.9096274.248479e-07
0.4116841.9088914.043618e-07
0.4127391.9081613.838231e-07
0.4137981.9074373.632318e-07
0.4148591.906723.425877e-07
0.4159221.9060093.218906e-07
0.4169891.9053043.011405e-07
0.4180581.9046052.803372e-07
0.419131.9039122.594805e-07
0.421.9033562.425500e-07
0.4202051.9032252.411971e-07
0.4212821.9025442.340704e-07
0.4223621.9018692.269254e-07
0.4234451.90122.197621e-07
0.4245311.9005362.125804e-07
0.4256191.8998772.053803e-07
0.4267111.8992251.981617e-07
0.4278051.8985771.909246e-07
0.4289021.8979361.836690e-07
0.4300021.8972991.763947e-07
0.4311041.8966681.691019e-07
0.4322091.8960421.617903e-07
0.4333181.8954211.544599e-07
0.4344291.8948051.471108e-07
0.4355431.8941941.397428e-07
0.4366591.8935881.323560e-07
0.4377791.8929881.249501e-07
0.4389021.8923921.175254e-07
0.441.8918151.102600e-07
0.4400271.8918011.101959e-07
0.4411551.8912141.075166e-07
0.4422861.8906331.048303e-07
0.443421.8900561.021372e-07
0.4445571.8894839.943722e-08
0.4456971.8889159.673028e-08
0.446841.8883529.401640e-08
0.4479861.8877939.129557e-08
0.4491351.8872398.856775e-08
0.4502861.8866898.583294e-08
0.4514411.8861438.309112e-08
0.4525981.8856018.034227e-08
0.4537591.8850647.758637e-08
0.4549221.8845317.482341e-08
0.4560891.8840027.205336e-08
0.4572581.8834776.927621e-08
0.4584311.8829566.649193e-08
0.4596061.882446.370052e-08
0.461.8822686.276500e-08
0.4607851.8819276.180882e-08
0.4619661.8814186.036882e-08
0.4631511.8809135.892513e-08
0.4643381.8804125.747773e-08
0.4655291.8799145.602662e-08
0.4667221.8794215.457180e-08
0.4679191.8789315.311324e-08
0.4691191.8784445.165094e-08
0.4703221.8779625.018490e-08
0.4715281.8774834.871509e-08
0.4727371.8770074.724151e-08
0.4739491.8765354.576416e-08
0.4751641.8760674.428302e-08
0.4763821.8756024.279808e-08
0.4776041.8751414.130933e-08
0.4788291.8746833.981677e-08
0.481.8742493.838900e-08
0.4800561.8742283.835961e-08
0.4812871.8737763.771714e-08
0.4825211.8733283.707302e-08
0.4837581.8728833.642725e-08
0.4849991.8724423.577983e-08
0.4862421.8720033.513074e-08
0.4874891.8715683.447999e-08
0.4887391.8711363.382757e-08
0.4899921.8707073.317348e-08
0.4912491.8702813.251771e-08
0.4925081.8698583.186026e-08
0.4937711.8694383.120113e-08
0.4950371.8690213.054030e-08
0.4963071.8686072.987778e-08
0.4975791.8681962.921356e-08
0.4988551.8677882.854764e-08
0.51.8674252.795000e-08
0.5001341.8673832.791031e-08
0.5014161.866982.753072e-08
0.5027021.8665812.715016e-08
0.5039911.8661842.676863e-08
0.5052831.865792.638611e-08
0.5065791.8653992.600262e-08
0.5078781.865012.561814e-08
0.509181.8646242.523268e-08
0.5104861.8642412.484622e-08
0.5117951.863862.445878e-08
0.5131071.8634822.407034e-08
0.5144231.8631072.368091e-08
0.5157421.8627342.329048e-08
0.5170641.8623642.289905e-08
0.518391.8619962.250661e-08
0.5197191.8616312.211317e-08
0.5210521.8612682.171872e-08
0.5223881.8609082.132326e-08
0.5237271.860552.092678e-08
0.525071.8601942.052929e-08
0.5264161.8598412.013078e-08
0.5277661.859491.973124e-08
0.5291191.8591421.933068e-08
0.5304761.8587961.892910e-08
0.5318361.8584521.852648e-08
0.53321.8581111.812284e-08
0.5345671.8577711.771815e-08
0.5359381.8574341.731243e-08
0.5373121.8570991.690567e-08
0.538691.8567671.649787e-08
0.5400711.8564371.608902e-08
0.5414561.8561081.567912e-08
0.5428441.8557821.526818e-08
0.5442361.8554581.485617e-08
0.5456311.8551361.444312e-08
0.547031.8548171.402900e-08
0.5484331.8544991.361382e-08
0.5498391.8541831.319757e-08
0.551.8541471.315000e-08
0.5512491.853871.317985e-08
0.5526631.8535581.321364e-08
0.554081.8532491.324750e-08
0.55551.8529411.328146e-08
0.5569251.8526351.331550e-08
0.5583531.8523321.334963e-08
0.5597841.852031.338385e-08
0.561221.851731.341815e-08
0.5626591.8514321.345254e-08
0.5641011.8511361.348702e-08
0.5655481.8508421.352159e-08
0.5669981.850551.355625e-08
0.5684521.850261.359100e-08
0.5699091.8499711.362583e-08
0.5713711.8496841.366076e-08
0.5728361.8493991.369577e-08
0.5743041.8491161.373088e-08
0.5757771.8488351.376607e-08
0.5772531.8485551.380136e-08
0.5787331.8482771.383673e-08
0.5802171.8480011.387220e-08
0.5817051.8477261.390775e-08
0.5831971.8474531.394340e-08
0.5846921.8471821.397914e-08
0.5861911.8469131.401497e-08
0.5876941.8466451.405089e-08
0.5892011.8463791.408691e-08
0.5907121.8461141.412302e-08
0.5922271.8458521.415922e-08
0.5937451.845591.419551e-08
0.5952681.8453311.423189e-08
0.5967941.8450721.426837e-08
0.5983241.8448161.430495e-08
0.5998581.8445611.434161e-08
0.61.8445371.434500e-08
0.6013961.8443071.437840e-08
0.6029381.8440561.441529e-08
0.6044841.8438051.445227e-08
0.6060341.8435561.448934e-08
0.6075881.8433091.452651e-08
0.6091461.8430631.456378e-08
0.6107081.8428181.460114e-08
0.6122741.8425761.463859e-08
0.6138441.8423341.467614e-08
0.6154181.8420941.471379e-08
0.6169961.8418551.475154e-08
0.6185781.8416181.478938e-08
0.6201641.8413821.482732e-08
0.6217541.8411481.486536e-08
0.6233481.8409151.490349e-08
0.6249471.8406831.494172e-08
0.6265491.8404531.498005e-08
0.6281561.8402241.501848e-08
0.6297661.8399961.505701e-08
0.6313811.839771.509563e-08
0.6331.8395451.513436e-08
0.6346231.8393211.517318e-08
0.636251.8390991.521210e-08
0.6378821.8388781.525113e-08
0.6395171.8386581.529025e-08
0.6411571.838441.532947e-08
0.6428011.8382221.536880e-08
0.6444491.8380071.540822e-08
0.6461021.8377921.544775e-08
0.6477581.8375781.548738e-08
0.6494191.8373661.552710e-08
0.651.8372921.554100e-08
0.6510841.8371551.556691e-08
0.6527541.8369451.560681e-08
0.6544271.8367371.564682e-08
0.6561051.8365291.568692e-08
0.6577881.8363231.572713e-08
0.6594741.8361181.576744e-08
0.6611651.8359141.580785e-08
0.6628611.8357111.584837e-08
0.664561.835511.588899e-08
0.6662641.8353091.592971e-08
0.6679731.835111.597054e-08
0.6696851.8349121.601148e-08
0.6714021.8347151.605252e-08
0.6731241.8345191.609366e-08
0.674851.8343241.613491e-08
0.676581.834131.617627e-08
0.6783151.8339381.621773e-08
0.6800541.8337461.625930e-08
0.6817981.8335561.630097e-08
0.6835461.8333661.634276e-08
0.6852991.8331781.638464e-08
0.6870561.832991.642664e-08
0.6888181.8328041.646874e-08
0.6905841.8326191.651096e-08
0.6923551.8324351.655328e-08
0.694131.8322511.659571e-08
0.695911.8320691.663824e-08
0.6976941.8318881.668089e-08
0.6994831.8317081.672365e-08
0.71.8316561.673600e-08
0.7012771.8315281.684809e-08
0.7030751.831351.700596e-08
0.7048771.8311731.716424e-08
0.7066851.8309971.732293e-08
0.7084971.8308211.748202e-08
0.7103131.8306471.764152e-08
0.7121351.8304731.780144e-08
0.7139611.8303011.796176e-08
0.7157911.8301291.812249e-08
0.7176271.8299591.828363e-08
0.7194671.8297891.844519e-08
0.7213121.829621.860716e-08
0.7231611.8294521.876955e-08
0.7250151.8292851.893235e-08
0.7268741.8291191.909557e-08
0.7287381.8289541.925921e-08
0.7306071.828791.942327e-08
0.732481.8286261.958775e-08
0.7343581.8284641.975265e-08
0.7362411.8283021.991797e-08
0.7381291.8281412.008372e-08
0.7400221.8279812.024989e-08
0.7419191.8278222.041649e-08
0.7438211.8276642.058351e-08
0.7457291.8275072.075097e-08
0.7476411.827352.091885e-08
0.7495581.8271942.108717e-08
0.751481.8270392.125591e-08
0.7534061.8268852.142509e-08
0.7553381.8267322.159470e-08
0.7572751.8265792.176475e-08
0.7592171.8264282.193523e-08
0.7611631.8262772.210615e-08
0.7631151.8261262.227751e-08
0.7650721.8259772.244931e-08
0.7670341.8258292.262155e-08
0.7691.8256812.279423e-08
0.7709721.8255342.296735e-08
0.7729491.8253872.314091e-08
0.7749311.8252422.331493e-08
0.7769181.8250972.348938e-08
0.778911.8249532.366429e-08
0.7809071.824812.383964e-08
0.7829091.8246672.401544e-08
0.7849171.8245252.419170e-08
0.7869291.8243842.436840e-08
0.7889471.8242442.454556e-08
0.790971.8241042.472318e-08
0.7929981.8239652.490124e-08
0.7950321.8238272.507977e-08
0.797071.8236892.525875e-08
0.7991141.8235522.543819e-08
0.81.8234932.551600e-08
0.8011631.8234162.523753e-08
0.8032171.8232812.474557e-08
0.8052771.8231462.425236e-08
0.8073411.8230122.375788e-08
0.8094111.8228782.326214e-08
0.8114871.8227462.276512e-08
0.8135681.8226132.226683e-08
0.8156541.8224822.176726e-08
0.8177451.8223512.126641e-08
0.8198421.8222212.076428e-08
0.8219441.8220922.026085e-08
0.8240521.8219631.975614e-08
0.8261641.8218341.925014e-08
0.8282831.8217071.874283e-08
0.8304071.821581.823423e-08
0.8325361.8214531.772432e-08
0.8346711.8213281.721310e-08
0.8368111.8212031.670057e-08
0.8389561.8210781.618673e-08
0.8411081.8209541.567157e-08
0.8432641.8208311.515509e-08
0.8454261.8207081.463729e-08
0.8475941.8205861.411816e-08
0.8497671.8204651.359770e-08
0.851.8204521.354200e-08
0.8519461.8203441.357299e-08
0.8541311.8202231.360776e-08
0.8563211.8201041.364263e-08
0.8585171.8199841.367758e-08
0.8607181.8198661.371263e-08
0.8629251.8197481.374776e-08
0.8651371.819631.378299e-08
0.8673561.8195131.381830e-08
0.869581.8193971.385371e-08
0.8718091.8192811.388920e-08
0.8740451.8191661.392479e-08
0.8762861.8190511.396047e-08
0.8785331.8189371.399624e-08
0.8807851.8188231.403210e-08
0.8830441.818711.406806e-08
0.8853081.8185981.410410e-08
0.8875781.8184861.414024e-08
0.8898541.8183741.417647e-08
0.8921351.8182631.421280e-08
0.8944231.8181531.424921e-08
0.8967161.8180431.428572e-08
0.8990161.8179331.432233e-08
0.91.8178861.433800e-08
0.9013211.8178241.435905e-08
0.9036321.8177161.439589e-08
0.9059491.8176081.443282e-08
0.9082721.81751.446985e-08
0.9106011.8173931.450697e-08
0.9129351.8172871.454419e-08
0.9152761.8171811.458150e-08
0.9176231.8170751.461891e-08
0.9199761.816971.465642e-08
0.9223351.8168661.469402e-08
0.92471.8167611.473172e-08
0.9270711.8166581.476951e-08
0.9294481.8165551.480740e-08
0.9318311.8164521.484539e-08
0.934221.816351.488347e-08
0.9366161.8162481.492166e-08
0.9390171.8161461.495994e-08
0.9414251.8160451.499832e-08
0.9438391.8159451.503679e-08
0.9462591.8158451.507537e-08
0.9486851.8157451.511405e-08
0.951.8156921.513500e-08
0.9511181.8156461.515280e-08
0.9535571.8155481.519162e-08
0.9560021.8154491.523055e-08
0.9584531.8153511.526957e-08
0.9609111.8152541.530870e-08
0.9633741.8151571.534792e-08
0.9658451.815061.538725e-08
0.9683211.8149641.542667e-08
0.9708041.8148681.546620e-08
0.9732931.8147731.550583e-08
0.9757891.8146781.554556e-08
0.9782911.8145831.558539e-08
0.9807991.8144891.562532e-08
0.9833141.8143961.566536e-08
0.9858351.8143021.570550e-08
0.9883631.8142091.574574e-08
0.9908971.8141171.578609e-08
0.9934381.8140241.582653e-08
0.9959851.8139331.586709e-08
0.9985391.8138411.590774e-08
11.8137891.593100e-08
1.00111.813751.594852e-08
1.003671.8136591.598942e-08
1.006241.8135691.603042e-08
1.008821.8134791.607153e-08
1.011411.8133891.611275e-08
1.0141.81331.615407e-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
—