Optical constants

Refractive index of H-ZLAF69A (CDGM)

H-ZLAF69A: n,k 0.365–2.325 µm

Data
formula 2 + tabulated k
Range
0.365–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.325 µm
Refractive index n
1.816
Extinction coefficient k
2.92327e-08
Permittivity ε1
3.29784
Permittivity ε2
1.06173e-07
Absorption coefficient α
0.00625169 cm⁻¹
Penetration depth δ = λ/(2πk)
3.19914e+09 nm
Abbe number Vd
46.556
Chromatic dispersion dn/dλ
-0.0899097 µm⁻¹
Group index ng
1.86883
Group velocity dispersion
164.872 fs²/mm
Dispersion parameter D
-899.462 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-ZLAF69A (CDGM): H-ZLAF69A
cdgm_h_zlaf69a = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF69A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf69a.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf69a.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=1.39269903λ2λ2−0.00593335223+0.823697428λ2λ2−0.0240980834+1.29547295λ2λ2−95.3762858

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.39269903
C30.00593335223
C40.823697428
C50.0240980834
C61.29547295
C795.3762858

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.27e-06 1.3e-08 -2.95e-11 6.42e-07 8.08e-10 0.182
nd
1.816000
Vd
46.556066
glass code
816466
density
value: 5060
thermal expansion
value: 6.4e-06, temperature range: 243 343; value: 7.8e-06, temperature range: 293 573
dPgF
-0.0089
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.90e-06 K⁻¹ at 633 nm, dn/dT = 1.02e-06 K⁻¹ at 1310 nm, dn/dT = 9.46e-07 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 425 wavelengths, the same grid as the API and the library
H-ZLAF69A (CDGM), H-ZLAF69A: n and k versus wavelength
λ (µm)nk
0.3651.8604838.003000e-07
0.3666981.8597597.306249e-07
0.3684031.8590446.606258e-07
0.371.8583865.951000e-07
0.3701171.8583385.925012e-07
0.3718381.857645.542400e-07
0.3735681.856955.158009e-07
0.3753061.8562694.771830e-07
0.3770511.8555964.383855e-07
0.3788051.854933.994075e-07
0.381.8544833.728500e-07
0.3805671.8542733.656184e-07
0.3823371.8536233.430420e-07
0.3841161.852983.203606e-07
0.3859021.8523452.975736e-07
0.3876971.8517182.746807e-07
0.38951.8510982.516814e-07
0.391.8509282.453100e-07
0.3913121.8504852.354257e-07
0.3931321.8498792.217147e-07
0.3949611.849282.079399e-07
0.3967981.8486871.941011e-07
0.3986441.8481021.801979e-07
0.41.8476781.699800e-07
0.4004981.8475231.683689e-07
0.4023611.8469511.623398e-07
0.4042321.8463851.562826e-07
0.4061121.8458261.501973e-07
0.4080011.8452731.440837e-07
0.4098991.8447261.379416e-07
0.4118061.8441851.317710e-07
0.4137211.8436511.255716e-07
0.4156451.8431221.193435e-07
0.4175791.8425991.130863e-07
0.4195211.8420821.068001e-07
0.421.8419561.052500e-07
0.4214721.8415711.034995e-07
0.4234331.8410651.011689e-07
0.4254021.8405659.882744e-08
0.4273811.840079.647508e-08
0.4293691.8395819.411177e-08
0.4313661.8390979.173748e-08
0.4333721.8386198.935214e-08
0.4353881.8381468.695570e-08
0.4374131.8376778.454812e-08
0.4394481.8372148.212934e-08
0.441.837098.147300e-08
0.4414921.8367568.007744e-08
0.4435451.8363037.815658e-08
0.4456091.8358557.622678e-08
0.4476811.8354117.428800e-08
0.4497641.8349727.234020e-08
0.4518561.8345387.038335e-08
0.4539571.8341096.841739e-08
0.4560691.8336846.644229e-08
0.458191.8332636.445800e-08
0.461.832916.276500e-08
0.4603211.8328476.255966e-08
0.4624621.8324366.119117e-08
0.4646131.8320285.981632e-08
0.4667751.8316255.843507e-08
0.4689461.8312275.704740e-08
0.4711271.8308325.565327e-08
0.4733181.8304425.425266e-08
0.475521.8300555.284553e-08
0.4777321.8296735.143186e-08
0.4799541.8292945.001161e-08
0.481.8292864.998200e-08
0.4821861.828924.801200e-08
0.4844291.8285494.599089e-08
0.4866821.8281824.396039e-08
0.4889461.8278194.192044e-08
0.491221.827463.987100e-08
0.4935051.8271043.781203e-08
0.49581.8267523.574348e-08
0.4981071.8264033.366531e-08
0.51.8261213.195900e-08
0.5004231.8260583.194872e-08
0.5027511.8257163.189221e-08
0.5050891.8253783.183543e-08
0.5074391.8250443.177839e-08
0.5097991.8247123.172108e-08
0.512171.8243843.166350e-08
0.5145531.824063.160566e-08
0.5169461.8237383.154755e-08
0.519351.823423.148917e-08
0.5217661.8231053.143052e-08
0.5241931.8227933.137159e-08
0.5266311.8224843.131239e-08
0.5290811.8221783.125292e-08
0.5315421.8218753.119317e-08
0.5340141.8215753.113314e-08
0.5364981.8212783.107283e-08
0.5389931.8209843.101224e-08
0.54151.8206923.095137e-08
0.5440191.8204043.089022e-08
0.5465491.8201183.082878e-08
0.5490921.8198353.076705e-08
0.551.8197353.074500e-08
0.5516461.8195553.067881e-08
0.5542121.8192783.057561e-08
0.5567891.8190033.047193e-08
0.5593791.8187313.036777e-08
0.5619811.8184613.026312e-08
0.5645951.8181943.015799e-08
0.5672211.8179293.005237e-08
0.5698591.8176672.994625e-08
0.572511.8174082.983964e-08
0.5751731.817152.973254e-08
0.5778481.8168962.962494e-08
0.5805361.8166432.951684e-08
0.5832361.8163932.940823e-08
0.5859491.8161462.929912e-08
0.5886751.81592.918951e-08
0.5914131.8156572.907938e-08
0.5941641.8154162.896874e-08
0.5969271.8151772.885759e-08
0.5997041.8149412.874591e-08
0.61.8149162.873400e-08
0.6024931.8147072.859408e-08
0.6052961.8144742.843681e-08
0.6081111.8142442.827881e-08
0.610941.8140162.812007e-08
0.6137811.813792.796060e-08
0.6166361.8135662.780038e-08
0.6195041.8133442.763942e-08
0.6223861.8131242.747771e-08
0.6252811.8129062.731525e-08
0.6281891.812692.715203e-08
0.6311111.8124762.698805e-08
0.6340471.8122642.682331e-08
0.6369961.8120532.665780e-08
0.6399591.8118442.649152e-08
0.6429351.8116382.632447e-08
0.6459261.8114332.615665e-08
0.648931.8112292.598804e-08
0.651.8111582.592800e-08
0.6519491.8110282.578763e-08
0.6549811.8108282.556917e-08
0.6580281.810632.534970e-08
0.6610881.8104342.512921e-08
0.6641631.8102392.490769e-08
0.6672521.8100462.468514e-08
0.6703561.8098542.446155e-08
0.6734741.8096642.423693e-08
0.6766071.8094762.401126e-08
0.6797541.8092892.378454e-08
0.6829151.8091042.355677e-08
0.6860921.808922.332794e-08
0.6892831.8087382.309804e-08
0.6924891.8085582.286707e-08
0.695711.8083782.263503e-08
0.6989461.8082012.240191e-08
0.71.8081432.232600e-08
0.7021971.8080242.239609e-08
0.7054631.8078492.250028e-08
0.7087451.8076762.260496e-08
0.7120411.8075042.271012e-08
0.7153531.8073332.281577e-08
0.7186811.8071632.292191e-08
0.7220231.8069952.302855e-08
0.7253821.8068282.313568e-08
0.7287561.8066632.324331e-08
0.7321461.8064982.335144e-08
0.7355511.8063352.346008e-08
0.7389721.8061732.356922e-08
0.7424091.8060132.367886e-08
0.7458631.8058532.378902e-08
0.7493321.8056952.389969e-08
0.7528171.8055382.401087e-08
0.7563191.8053822.412257e-08
0.7598371.8052272.423479e-08
0.7633711.8050742.434754e-08
0.7669221.8049212.446080e-08
0.7704891.804772.457460e-08
0.7740731.8046192.468892e-08
0.7776731.804472.480378e-08
0.781291.8043222.491916e-08
0.7849241.8041742.503509e-08
0.7885751.8040282.515156e-08
0.7922431.8038832.526856e-08
0.7959281.8037392.538611e-08
0.799631.8035962.550421e-08
0.81.8035812.551600e-08
0.803351.8034532.516809e-08
0.8070861.8033122.478000e-08
0.810841.8031712.439011e-08
0.8146121.8030322.399840e-08
0.8184011.8028932.360487e-08
0.8222081.8027562.320952e-08
0.8260321.8026192.281232e-08
0.8298741.8024832.241327e-08
0.8337341.8023482.201237e-08
0.8376121.8022132.160960e-08
0.8415081.802082.120496e-08
0.8454221.8019472.079844e-08
0.8493551.8018152.039003e-08
0.851.8017942.032300e-08
0.8533051.8016842.040200e-08
0.8572741.8015542.049685e-08
0.8612621.8014242.059215e-08
0.8652681.8012962.068790e-08
0.8692921.8011682.078409e-08
0.8733361.801042.088072e-08
0.8773981.8009142.097781e-08
0.8814791.8007882.107535e-08
0.8855791.8006622.117334e-08
0.8896981.8005382.127179e-08
0.8938361.8004142.137069e-08
0.8979941.8002912.147006e-08
0.91.8002322.151800e-08
0.9021711.8001682.156993e-08
0.9063671.8000462.167030e-08
0.9105831.7999252.177114e-08
0.9148181.7998042.187245e-08
0.9190731.7996842.197424e-08
0.9233481.7995642.207649e-08
0.9276431.7994452.217922e-08
0.9319581.7993272.228243e-08
0.9362931.7992092.238612e-08
0.9406481.7990912.249030e-08
0.9450231.7989742.259495e-08
0.9494191.7988582.270009e-08
0.951.7988432.271400e-08
0.9538351.7987422.280565e-08
0.9582711.7986272.291169e-08
0.9627291.7985122.301821e-08
0.9672071.7983972.312524e-08
0.9717051.7982832.323276e-08
0.9762251.798172.334078e-08
0.9807661.7980572.344930e-08
0.9853281.7979442.355833e-08
0.9899111.7978322.366787e-08
0.9945151.797722.377791e-08
0.9991411.7976082.388847e-08
11.7975882.390900e-08
1.003791.7974972.399960e-08
1.008461.7973872.411127e-08
1.013151.7972762.422345e-08
1.017861.7971662.433616e-08
1.022591.7970572.444939e-08
1.027351.7969472.456315e-08
1.032131.7968382.467744e-08
1.036931.796732.479226e-08
1.041751.7966212.490761e-08
1.04661.7965132.502350e-08
1.051471.7964052.513993e-08
1.056361.7962982.525690e-08
1.061.7962182.534400e-08
1.061271.796192.537440e-08
1.066211.7960832.549241e-08
1.071171.7959772.561097e-08
1.076151.795872.573009e-08
1.081151.7957642.584976e-08
1.086181.7956572.596998e-08
1.091241.7955522.609076e-08
1.096311.7954462.621211e-08
1.101411.795342.633402e-08
1.106531.7952352.645650e-08
1.111681.7951292.657954e-08
1.116851.7950242.670316e-08
1.122051.7949192.682736e-08
1.127271.7948152.695213e-08
1.132511.794712.707748e-08
1.137781.7946052.720341e-08
1.143071.7945012.732993e-08
1.148391.7943962.745704e-08
1.153731.7942922.758474e-08
1.159091.7941882.771304e-08
1.164481.7940842.784193e-08
1.16991.7939792.797142e-08
1.175341.7938752.810151e-08
1.180811.7937712.823221e-08
1.18631.7936672.836352e-08
1.191821.7935632.849543e-08
1.197361.7934592.862796e-08
1.21.793412.869100e-08
1.202931.7933552.876112e-08
1.208531.7932512.889490e-08
1.214151.7931472.902931e-08
1.21981.7930432.916434e-08
1.225471.7929392.929999e-08
1.231171.7928342.943628e-08
1.23691.792732.957320e-08
1.242651.7926262.971076e-08
1.248431.7925212.984896e-08
1.254241.7924172.998781e-08
1.260071.7923123.012729e-08
1.265931.7922073.026743e-08
1.271821.7921033.040822e-08
1.277741.7919983.054966e-08
1.283681.7918923.069176e-08
1.289651.7917873.083453e-08
1.295651.7916823.097795e-08
1.301671.7915763.112204e-08
1.307731.791473.126681e-08
1.313811.7913643.141225e-08
1.319921.7912583.155836e-08
1.326061.7911513.170515e-08
1.332231.7910453.185263e-08
1.338431.7909383.200079e-08
1.344651.7908313.214964e-08
1.350911.7907233.229918e-08
1.357191.7906163.244942e-08
1.36351.7905083.260036e-08
1.369851.79043.275200e-08
1.376221.7902913.290434e-08
1.382621.7901823.305740e-08
1.389051.7900733.321116e-08
1.395511.7899643.336564e-08
1.41.7898883.347300e-08
1.4021.7898543.364868e-08
1.408521.7897443.422120e-08
1.415071.7896333.479639e-08
1.421661.7895223.537426e-08
1.428271.7894113.595481e-08
1.434911.7892993.653806e-08
1.441591.7891873.712403e-08
1.448291.7890753.771272e-08
1.455031.7889623.830415e-08
1.46181.7888493.889833e-08
1.468591.7887353.949527e-08
1.475431.7886214.009499e-08
1.482291.7885064.069750e-08
1.489181.7883914.130281e-08
1.496111.7882754.191094e-08
1.503071.7881594.252190e-08
1.510061.7880434.313570e-08
1.517081.7879254.375235e-08
1.524141.7878084.437187e-08
1.531231.787694.499428e-08
1.538351.7875714.561957e-08
1.545511.7874514.624778e-08
1.55271.7873314.687891e-08
1.559921.7872114.751297e-08
1.567171.787094.814999e-08
1.574461.7869684.878996e-08
1.581791.7868464.943292e-08
1.589141.7867235.007886e-08
1.596541.7865995.072781e-08
1.61.7865415.103200e-08
1.603961.7864755.287254e-08
1.611421.786355.633902e-08
1.618921.7862245.982161e-08
1.626451.7860976.332041e-08
1.634011.785976.683547e-08
1.641611.7858427.036689e-08
1.649251.7857147.391473e-08
1.656921.7855857.747908e-08
1.664631.7854548.106001e-08
1.672371.7853248.465759e-08
1.680151.7851928.827190e-08
1.687961.7850599.190303e-08
1.695811.7849269.555104e-08
1.70371.7847929.921602e-08
1.711631.7846571.028981e-07
1.719591.7845211.065972e-07
1.727591.7843841.103136e-07
1.735621.7842471.140472e-07
1.743691.7841081.177982e-07
1.751811.7839691.215667e-07
1.759951.7838281.253527e-07
1.768141.7836871.291563e-07
1.776361.7835451.329776e-07
1.784631.7834021.368167e-07
1.792931.7832581.406736e-07
1.81.7831341.439600e-07
1.801271.7831121.460142e-07
1.809641.7829661.596042e-07
1.818061.7828191.732574e-07
1.826521.782671.869741e-07
1.835011.7825212.007547e-07
1.843551.7823712.145993e-07
1.852121.7822192.285083e-07
1.860741.7820662.424820e-07
1.869391.7819132.565207e-07
1.878091.7817582.706247e-07
1.886821.7816022.847943e-07
1.89561.7814442.990298e-07
1.904421.7812863.133315e-07
1.913281.7811263.276998e-07
1.922181.7809653.421348e-07
1.931121.7808033.566371e-07
1.94011.780643.712067e-07
1.949121.7804753.858442e-07
1.958191.7803094.005497e-07
1.96731.7801414.153236e-07
1.976451.7799734.301663e-07
1.985641.7798034.450780e-07
1.994881.7796314.600590e-07
21.7795364.683700e-07
2.004161.7794594.846439e-07
2.013481.7792845.211549e-07
2.022841.7791095.578357e-07
2.032251.7789325.946871e-07
2.04171.7787536.317099e-07
2.05121.7785736.689049e-07
2.060741.7783927.062729e-07
2.070331.7782097.438148e-07
2.079961.7780247.815312e-07
2.089631.7778388.194231e-07
2.099351.777658.574912e-07
2.109121.7774618.957364e-07
2.118931.777279.341595e-07
2.128781.7770779.727613e-07
2.138681.7768831.011543e-06
2.148631.7766861.050504e-06
2.158621.7764891.089647e-06
2.168671.7762891.128972e-06
2.178751.7760881.168480e-06
2.188891.7758851.208172e-06
2.199071.775681.248048e-06
2.21.7756611.251700e-06
2.20931.7754731.445360e-06
2.219571.7752651.659433e-06
2.22991.7750541.874502e-06
2.240271.7748422.090571e-06
2.250691.7746272.307645e-06
2.261161.7744112.525729e-06
2.271671.7741932.744827e-06
2.282241.7739732.964944e-06
2.292861.773753.186086e-06
2.303521.7735263.408255e-06
2.314241.77333.631459e-06
2.3251.7730713.855700e-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
—