Optical constants

Refractive index of H-ZLAF76 (CDGM)

H-ZLAF76: 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
1.85012
Extinction coefficient k
4.41435e-08
Permittivity ε1
3.42296
Permittivity ε2
1.63342e-07
Absorption coefficient α
0.0094405 cm⁻¹
Penetration depth δ = λ/(2πk)
2.11853e+09 nm
Abbe number Vd
30.056
Chromatic dispersion dn/dλ
-0.142456 µm⁻¹
Group index ng
1.93383
Group velocity dispersion
284.74 fs²/mm
Dispersion parameter D
-1553.41 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-ZLAF76 (CDGM): H-ZLAF76
cdgm_h_zlaf76 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF76", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf76.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf76.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=0.279518569λ2λ2−0.0593856526+2.01429741λ2λ2−0.012625744+1.5507336λ2λ2−100.032291

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.279518569
C30.0593856526
C42.01429741
C50.012625744
C61.5507336
C7100.032291

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -8.76e-07 1.45e-08 -5.38e-11 7.77e-07 8.1e-10 0.291
nd
1.850130
Vd
30.055517
glass code
850301
density
value: 3980
thermal expansion
value: 6.8e-06, temperature range: 243 343; value: 8.3e-06, temperature range: 293 573
dPgF
0.0056
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.03e-06 K⁻¹ at 633 nm, dn/dT = -2.52e-07 K⁻¹ at 1310 nm, dn/dT = -3.40e-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-ZLAF76 (CDGM), H-ZLAF76: n and k versus wavelength
λ (µm)nk
0.3651.9306567.704500e-06
0.3666981.929136.515236e-06
0.3684031.9276325.320441e-06
0.371.9262614.202000e-06
0.3701171.9261624.175313e-06
0.3718381.9247173.782424e-06
0.3735681.9232983.387708e-06
0.3753061.9219042.991156e-06
0.3770511.9205342.592759e-06
0.3788051.9191882.192509e-06
0.381.9182871.919800e-06
0.3805671.9178641.873708e-06
0.3823371.9165631.729813e-06
0.3841161.9152841.585249e-06
0.3859021.9140261.440012e-06
0.3876971.9127891.294100e-06
0.38951.9115721.147509e-06
0.391.9112391.106900e-06
0.3913121.9103741.060113e-06
0.3931321.9091969.952130e-07
0.3949611.9080379.300111e-07
0.3967981.9068968.645058e-07
0.3986441.9057737.986959e-07
0.41.9049627.503300e-07
0.4004981.9046677.422885e-07
0.4023611.9035797.121961e-07
0.4042321.9025076.819637e-07
0.4061121.9014516.515906e-07
0.4080011.9004126.210763e-07
0.4098991.8993885.904201e-07
0.4118061.898385.596213e-07
0.4137211.8973865.286792e-07
0.4156451.8964074.975932e-07
0.4175791.8954424.663626e-07
0.4195211.8944924.349867e-07
0.421.894264.272500e-07
0.4214721.8935554.164500e-07
0.4234331.8926314.020704e-07
0.4254021.8917213.876239e-07
0.4273811.8908243.731102e-07
0.4293691.8899393.585291e-07
0.4313661.8890673.438801e-07
0.4333721.8882063.291629e-07
0.4353881.8873583.143773e-07
0.4374131.8865212.995230e-07
0.4394481.8856962.845995e-07
0.441.8854752.805500e-07
0.4414921.8848822.747807e-07
0.4435451.8840792.668397e-07
0.4456091.8832872.588618e-07
0.4476811.8825062.508468e-07
0.4497641.8817352.427945e-07
0.4518561.8809742.347047e-07
0.4539571.8802232.265773e-07
0.4560691.8794822.184121e-07
0.458191.878752.102090e-07
0.461.8781372.032100e-07
0.4603211.8780292.024505e-07
0.4624621.8773161.973889e-07
0.4646131.8766131.923038e-07
0.4667751.8759181.871950e-07
0.4689461.8752331.820625e-07
0.4711271.8745561.769061e-07
0.4733181.8738881.717257e-07
0.475521.8732281.665212e-07
0.4777321.8725761.612925e-07
0.4799541.8719331.560395e-07
0.481.8719191.559300e-07
0.4821861.8712971.516846e-07
0.4844291.8706691.473291e-07
0.4866821.8700491.429533e-07
0.4889461.8694371.385571e-07
0.491221.8688321.341405e-07
0.4935051.8682341.297034e-07
0.49581.8676441.252456e-07
0.4981071.867061.207671e-07
0.51.8665891.170900e-07
0.5004231.8664841.166210e-07
0.5027511.8659151.140429e-07
0.5050891.8653521.114527e-07
0.5074391.8647961.088505e-07
0.5097991.8642461.062361e-07
0.512171.8637031.036097e-07
0.5145531.8631661.009710e-07
0.5169461.8626369.831999e-08
0.519351.8621129.565668e-08
0.5217661.8615939.298099e-08
0.5241931.8610819.029285e-08
0.5266311.8605758.759221e-08
0.5290811.8600748.487900e-08
0.5315421.8595798.215318e-08
0.5340141.859097.941468e-08
0.5364981.8586067.666344e-08
0.5389931.8581277.389940e-08
0.54151.8576547.112251e-08
0.5440191.8571876.833270e-08
0.5465491.8567246.552991e-08
0.5490921.8562676.271409e-08
0.551.8561056.170800e-08
0.5516461.8558146.093923e-08
0.5542121.8553675.974060e-08
0.5567891.8549245.853640e-08
0.5593791.8544875.732660e-08
0.5619811.8540545.611117e-08
0.5645951.8536255.489008e-08
0.5672211.8532025.366332e-08
0.5698591.8527835.243084e-08
0.572511.8523685.119264e-08
0.5751731.8519584.994868e-08
0.5778481.8515524.869893e-08
0.5805361.8511514.744337e-08
0.5832361.8507544.618197e-08
0.5859491.8503614.491470e-08
0.5886751.8499724.364153e-08
0.5914131.8495874.236245e-08
0.5941641.8492064.107741e-08
0.5969271.8488293.978640e-08
0.5997041.8484563.848938e-08
0.61.8484173.835100e-08
0.6024931.8480873.799088e-08
0.6052961.8477223.758611e-08
0.6081111.847363.717945e-08
0.610941.8470033.677089e-08
0.6137811.8466483.636044e-08
0.6166361.8462983.594808e-08
0.6195041.8459513.553380e-08
0.6223861.8456073.511759e-08
0.6252811.8452673.469945e-08
0.6281891.844933.427936e-08
0.6311111.8445963.385732e-08
0.6340471.8442663.343332e-08
0.6369961.8439393.300734e-08
0.6399591.8436163.257938e-08
0.6429351.8432953.214943e-08
0.6459261.8429783.171749e-08
0.648931.8426643.128353e-08
0.651.8425533.112900e-08
0.6519491.8423523.078594e-08
0.6549811.8420443.025205e-08
0.6580281.8417392.971568e-08
0.6610881.8414362.917681e-08
0.6641631.8411372.863544e-08
0.6672521.840842.809154e-08
0.6703561.8405472.754512e-08
0.6734741.8402552.699616e-08
0.6766071.8399672.644464e-08
0.6797541.8396822.589056e-08
0.6829151.8393992.533390e-08
0.6860921.8391182.477465e-08
0.6892831.838842.421280e-08
0.6924891.8385652.364834e-08
0.695711.8382922.308125e-08
0.6989461.8380222.251152e-08
0.71.8379352.232600e-08
0.7021971.8377552.225571e-08
0.7054631.8374892.215123e-08
0.7087451.8372262.204625e-08
0.7120411.8369662.194080e-08
0.7153531.8367072.183485e-08
0.7186811.8364512.172841e-08
0.7220231.8361982.162147e-08
0.7253821.8359462.151403e-08
0.7287561.8356972.140610e-08
0.7321461.835452.129766e-08
0.7355511.8352052.118872e-08
0.7389721.8349622.107928e-08
0.7424091.8347212.096932e-08
0.7458631.8344822.085885e-08
0.7493321.8342452.074787e-08
0.7528171.8340112.063637e-08
0.7563191.8337782.052436e-08
0.7598371.8335472.041182e-08
0.7633711.8333182.029876e-08
0.7669221.8330912.018517e-08
0.7704891.8328662.007106e-08
0.7740731.8326431.995641e-08
0.7776731.8324211.984123e-08
0.781291.8322021.972552e-08
0.7849241.8319841.960927e-08
0.7885751.8317681.949247e-08
0.7922431.8315531.937514e-08
0.7959281.831341.925725e-08
0.799631.8311291.913882e-08
0.81.8311081.912700e-08
0.803351.830921.875283e-08
0.8070861.8307121.833545e-08
0.810841.8305061.791612e-08
0.8146121.8303011.749485e-08
0.8184011.8300981.707161e-08
0.8222081.8298961.664641e-08
0.8260321.8296961.621923e-08
0.8298741.8294971.579006e-08
0.8337341.82931.535890e-08
0.8376121.8291051.492573e-08
0.8415081.828911.449054e-08
0.8454221.8287171.405333e-08
0.8493551.8285261.361409e-08
0.851.8284951.354200e-08
0.8533051.8283361.359462e-08
0.8572741.8281471.365781e-08
0.8612621.8279591.372129e-08
0.8652681.8277731.378506e-08
0.8692921.8275881.384913e-08
0.8733361.8274051.391350e-08
0.8773981.8272221.397817e-08
0.8814791.8270411.404315e-08
0.8855791.8268611.410842e-08
0.8896981.8266821.417399e-08
0.8938361.8265051.423988e-08
0.8979941.8263281.430606e-08
0.91.8262441.433800e-08
0.9021711.8261531.437260e-08
0.9063671.8259781.443949e-08
0.9105831.8258051.450669e-08
0.9148181.8256331.457420e-08
0.9190731.8254621.464203e-08
0.9233481.8252921.471017e-08
0.9276431.8251231.477863e-08
0.9319581.8249551.484741e-08
0.9362931.8247881.491651e-08
0.9406481.8246221.498593e-08
0.9450231.8244571.505567e-08
0.9494191.8242931.512573e-08
0.951.8242711.513500e-08
0.9538351.8241291.519605e-08
0.9582711.8239671.526668e-08
0.9627291.8238061.533764e-08
0.9672071.8236451.540893e-08
0.9717051.8234851.548055e-08
0.9762251.8233261.555250e-08
0.9807661.8231681.562479e-08
0.9853281.8230111.569742e-08
0.9899111.8228551.577038e-08
0.9945151.8226991.584368e-08
0.9991411.8225441.591732e-08
11.8225151.593100e-08
1.003791.822391.599136e-08
1.008461.8222361.606575e-08
1.013151.8220831.614049e-08
1.017861.8219311.621558e-08
1.022591.821781.629101e-08
1.027351.8216291.636680e-08
1.032131.8214791.644293e-08
1.036931.8213291.651943e-08
1.041751.8211811.659628e-08
1.04661.8210321.667348e-08
1.051471.8208851.675105e-08
1.056361.8207371.682897e-08
1.061.8206291.688700e-08
1.061271.8205911.690726e-08
1.066211.8204451.698593e-08
1.071171.82031.706496e-08
1.076151.8201551.714435e-08
1.081151.820011.722412e-08
1.086181.8198661.730426e-08
1.091241.8197231.738477e-08
1.096311.819581.746565e-08
1.101411.8194371.754691e-08
1.106531.8192951.762855e-08
1.111681.8191531.771057e-08
1.116851.8190121.779297e-08
1.122051.8188711.787576e-08
1.127271.8187311.795892e-08
1.132511.818591.804248e-08
1.137781.8184511.812642e-08
1.143071.8183111.821076e-08
1.148391.8181721.829549e-08
1.153731.8180331.838061e-08
1.159091.8178951.846612e-08
1.164481.8177561.855204e-08
1.16991.8176181.863835e-08
1.175341.8174811.872507e-08
1.180811.8173431.881219e-08
1.18631.8172061.889971e-08
1.191821.8170691.898764e-08
1.197361.8169321.907598e-08
1.21.8168671.911800e-08
1.202931.8167961.916472e-08
1.208531.8166591.925385e-08
1.214151.8165231.934340e-08
1.21981.8163871.943336e-08
1.225471.8162511.952374e-08
1.231171.8161151.961454e-08
1.23691.8159791.970577e-08
1.242651.8158431.979742e-08
1.248431.8157081.988949e-08
1.254241.8155721.998199e-08
1.260071.8154372.007493e-08
1.265931.8153022.016829e-08
1.271821.8151662.026209e-08
1.277741.8150312.035633e-08
1.283681.8148962.045101e-08
1.289651.814762.054612e-08
1.295651.8146252.064168e-08
1.301671.8144892.073768e-08
1.307731.8143542.083413e-08
1.313811.8142192.093103e-08
1.319921.8140832.102837e-08
1.326061.8139472.112617e-08
1.332231.8138122.122443e-08
1.338431.8136762.132314e-08
1.344651.813542.142231e-08
1.350911.8134042.152195e-08
1.357191.8132682.162204e-08
1.36351.8131312.172260e-08
1.369851.8129952.182363e-08
1.376221.8128582.192513e-08
1.382621.8127212.202711e-08
1.389051.8125842.212955e-08
1.395511.8124472.223247e-08
1.41.8123512.230400e-08
1.4021.8123092.233588e-08
1.408521.8121712.243976e-08
1.415071.8120332.254412e-08
1.421661.8118952.264897e-08
1.428271.8117562.275431e-08
1.434911.8116172.286014e-08
1.441591.8114782.296646e-08
1.448291.8113382.307328e-08
1.455031.8111982.318059e-08
1.46181.8110582.328840e-08
1.468591.8109172.339671e-08
1.475431.8107762.350553e-08
1.482291.8106342.361485e-08
1.489181.8104922.372468e-08
1.496111.810352.383503e-08
1.503071.8102072.394588e-08
1.510061.8100642.405725e-08
1.517081.809922.416914e-08
1.524141.8097762.428155e-08
1.531231.8096312.439448e-08
1.538351.8094862.450794e-08
1.545511.809342.462193e-08
1.55271.8091942.473644e-08
1.559921.8090472.485149e-08
1.567171.80892.496707e-08
1.574461.8087522.508319e-08
1.581791.8086032.519985e-08
1.589141.8084542.531706e-08
1.596541.8083042.543481e-08
1.61.8082342.549000e-08
1.603961.8081542.726384e-08
1.611421.8080023.060467e-08
1.618921.8078513.396105e-08
1.626451.8076983.733304e-08
1.634011.8075454.072071e-08
1.641611.8073914.412413e-08
1.649251.8072364.754339e-08
1.656921.8070815.097856e-08
1.664631.8069255.442970e-08
1.672371.8067685.789689e-08
1.680151.806616.138021e-08
1.687961.8064526.487973e-08
1.695811.8062926.839553e-08
1.70371.8061327.192769e-08
1.711631.8059717.547627e-08
1.719591.8058097.904136e-08
1.727591.8056468.262303e-08
1.735621.8054828.622136e-08
1.743691.8053188.983642e-08
1.751811.8051529.346830e-08
1.759951.8049859.711708e-08
1.768141.8048181.007828e-07
1.776361.8046491.044656e-07
1.784631.804481.081655e-07
1.792931.8043091.118827e-07
1.81.8041641.150500e-07
1.801271.8041371.172873e-07
1.809641.8039651.320884e-07
1.818061.8037911.469583e-07
1.826521.8036161.618974e-07
1.835011.803441.769060e-07
1.843551.8032631.919843e-07
1.852121.8030852.071329e-07
1.860741.8029052.223518e-07
1.869391.8027252.376416e-07
1.878091.8025432.530025e-07
1.886821.802362.684348e-07
1.89561.8021752.839389e-07
1.904421.801992.995152e-07
1.913281.8018033.151639e-07
1.922181.8016153.308853e-07
1.931121.8014253.466799e-07
1.94011.8012343.625480e-07
1.949121.8010423.784898e-07
1.958191.8008483.945059e-07
1.96731.8006534.105964e-07
1.976451.8004574.267617e-07
1.985641.8002594.430023e-07
1.994881.8000594.593184e-07
21.7999484.683700e-07
2.004161.7998584.913461e-07
2.013481.7996565.428934e-07
2.022841.7994525.946805e-07
2.032251.7992466.467084e-07
2.04171.7990396.989784e-07
2.05121.7988317.514915e-07
2.060741.798628.042489e-07
2.070331.7984088.572516e-07
2.079961.7981959.105009e-07
2.089631.7979799.639978e-07
2.099351.7977621.017744e-06
2.109121.7975431.071739e-06
2.118931.7973231.125986e-06
2.128781.79711.180486e-06
2.138681.7968761.235238e-06
2.148631.796651.290246e-06
2.158621.7964221.345509e-06
2.168671.7961921.401029e-06
2.178751.795961.456808e-06
2.188891.7957271.512846e-06
2.199071.7954911.569145e-06
2.21.7954691.574300e-06
2.20931.7952531.768424e-06
2.219571.7950141.983011e-06
2.22991.7947722.198596e-06
2.240271.7945282.415184e-06
2.250691.7942822.632779e-06
2.261161.7940342.851387e-06
2.271671.7937833.071011e-06
2.282241.7935313.291657e-06
2.292861.7932763.513328e-06
2.303521.7930193.736032e-06
2.314241.792763.959770e-06
2.3251.7924984.184550e-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
—