Optical constants

Refractive index of H-ZLAF68N (CDGM)

H-ZLAF68N: 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
1.883
Extinction coefficient k
2.81403e-08
Permittivity ε1
3.54567
Permittivity ε2
1.05976e-07
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
39.218
Chromatic dispersion dn/dλ
-0.114686 µm⁻¹
Group index ng
1.95039
Group velocity dispersion
218.633 fs²/mm
Dispersion parameter D
-1192.76 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-ZLAF68N (CDGM): H-ZLAF68N
cdgm_h_zlaf68n = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF68N", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf68n.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf68n.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=1.49455025λ2λ2−109.762523+2.07574257λ2λ2−0.010404077+0.361138143λ2λ2−0.041262142

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.49455025
C3109.762523
C42.07574257
C50.010404077
C60.361138143
C70.041262142

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -9.92e-09 1.31e-08 -2.62e-11 7.34e-07 7.89e-10 0.237
nd
1.883000
Vd
39.218200
glass code
883392
density
value: 5170
thermal expansion
value: 5.8e-06, temperature range: 243 343; value: 8.6e-06, temperature range: 293 573
dPgF
-0.006
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.43e-06 K⁻¹ at 633 nm, dn/dT = 2.84e-07 K⁻¹ at 1310 nm, dn/dT = 1.98e-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-ZLAF68N (CDGM), H-ZLAF68N: n and k versus wavelength
λ (µm)nk
0.3651.9424051.408850e-06
0.3666981.9413911.271486e-06
0.3684031.9403911.133484e-06
0.371.9394721.004300e-06
0.3701171.9394059.996167e-07
0.3718381.9384329.306675e-07
0.3735681.9374738.613975e-07
0.3753061.9365277.918054e-07
0.3770511.9355937.218895e-07
0.3788051.9346726.516485e-07
0.381.9340536.037900e-07
0.3805671.9337635.920495e-07
0.3823371.9328665.553969e-07
0.3841161.931985.185739e-07
0.3859021.9311074.815795e-07
0.3876971.9302454.444131e-07
0.38951.9293944.070738e-07
0.391.9291613.967300e-07
0.3913121.9285543.813189e-07
0.3931321.9277253.599416e-07
0.3949611.9269073.384648e-07
0.3967981.9260993.168882e-07
0.3986441.9253012.952112e-07
0.41.9247232.792800e-07
0.4004981.9245132.763335e-07
0.4023611.9237362.653073e-07
0.4042321.9229682.542298e-07
0.4061121.9222092.431008e-07
0.4080011.9214612.319201e-07
0.4098991.9207212.206873e-07
0.4118061.9199912.094023e-07
0.4137211.9192691.980647e-07
0.4156451.9185571.866745e-07
0.4175791.9178531.752313e-07
0.4195211.9171581.637348e-07
0.421.9169881.609000e-07
0.4214721.9164711.574384e-07
0.4234331.9157921.528295e-07
0.4254021.9151221.481991e-07
0.4273811.914461.435472e-07
0.4293691.9138051.388737e-07
0.4313661.9131591.341784e-07
0.4333721.912521.294613e-07
0.4353881.9118891.247223e-07
0.4374131.9112651.199612e-07
0.4394481.9106481.151779e-07
0.441.9104821.138800e-07
0.4414921.9100391.111803e-07
0.4435451.9094361.074645e-07
0.4456091.9088411.037314e-07
0.4476811.9082539.998085e-08
0.4497641.9076719.621291e-08
0.4518561.9070979.242744e-08
0.4539571.9065288.862436e-08
0.4560691.9059678.480359e-08
0.458191.9054118.096505e-08
0.461.9049457.769000e-08
0.4603211.9048627.736937e-08
0.4624621.904327.523254e-08
0.4646131.9037837.308578e-08
0.4667751.9032537.092903e-08
0.4689461.9027286.876225e-08
0.4711271.9022096.658539e-08
0.4733181.9016966.439841e-08
0.475521.9011896.220125e-08
0.4777321.9006885.999388e-08
0.4799541.9001925.777623e-08
0.481.9001815.773000e-08
0.4821861.8997015.535175e-08
0.4844291.8992165.291180e-08
0.4866821.8987365.046050e-08
0.4889461.8982614.799780e-08
0.491221.8977924.552364e-08
0.4935051.8973284.303798e-08
0.49581.8968694.054075e-08
0.4981071.8964143.803191e-08
0.51.8960473.597200e-08
0.5004231.8959653.589044e-08
0.5027511.895523.544204e-08
0.5050891.8950813.499156e-08
0.5074391.8946463.453899e-08
0.5097991.8942153.408431e-08
0.512171.8937893.362751e-08
0.5145531.8933683.316859e-08
0.5169461.8929513.270753e-08
0.519351.8925393.224433e-08
0.5217661.8921313.177898e-08
0.5241931.8917273.131146e-08
0.5266311.8913273.084176e-08
0.5290811.8909323.036989e-08
0.5315421.8905412.989581e-08
0.5340141.8901532.941953e-08
0.5364981.889772.894104e-08
0.5389931.8893912.846032e-08
0.54151.8890152.797736e-08
0.5440191.8886442.749216e-08
0.5465491.8882762.700470e-08
0.5490921.8879122.651498e-08
0.551.8877842.634000e-08
0.5516461.8875522.641880e-08
0.5542121.8871962.654165e-08
0.5567891.8868432.666508e-08
0.5593791.8864932.678908e-08
0.5619811.8861472.691365e-08
0.5645951.8858052.703881e-08
0.5672211.8854662.716455e-08
0.5698591.885132.729087e-08
0.572511.8847982.741778e-08
0.5751731.8844692.754528e-08
0.5778481.8841432.767338e-08
0.5805361.8838212.780207e-08
0.5832361.8835022.793136e-08
0.5859491.8831862.806125e-08
0.5886751.8828722.819174e-08
0.5914131.8825622.832284e-08
0.5941641.8822552.845455e-08
0.5969271.8819522.858688e-08
0.5997041.881652.871982e-08
0.61.8816192.873400e-08
0.6024931.8813522.859408e-08
0.6052961.8810572.843681e-08
0.6081111.8807652.827881e-08
0.610941.8804752.812007e-08
0.6137811.8801882.796060e-08
0.6166361.8799042.780038e-08
0.6195041.8796222.763942e-08
0.6223861.8793442.747771e-08
0.6252811.8790682.731525e-08
0.6281891.8787942.715203e-08
0.6311111.8785232.698805e-08
0.6340471.8782542.682331e-08
0.6369961.8779892.665780e-08
0.6399591.8777252.649152e-08
0.6429351.8774642.632447e-08
0.6459261.8772052.615665e-08
0.648931.8769492.598804e-08
0.651.8768592.592800e-08
0.6519491.8766952.600571e-08
0.6549811.8764432.612664e-08
0.6580281.8761942.624814e-08
0.6610881.8759472.637020e-08
0.6641631.8757022.649283e-08
0.6672521.8754592.661603e-08
0.6703561.8752192.673980e-08
0.6734741.8749812.686415e-08
0.6766071.8747452.698907e-08
0.6797541.874512.711458e-08
0.6829151.8742782.724067e-08
0.6860921.8740482.736735e-08
0.6892831.873822.749461e-08
0.6924891.8735942.762247e-08
0.695711.873372.775093e-08
0.6989461.8731482.787998e-08
0.71.8730772.792200e-08
0.7021971.8729282.786913e-08
0.7054631.872712.779055e-08
0.7087451.8724932.771160e-08
0.7120411.8722792.763228e-08
0.7153531.8720662.755260e-08
0.7186811.8718552.747254e-08
0.7220231.8716462.739212e-08
0.7253821.8714392.731131e-08
0.7287561.8712332.723013e-08
0.7321461.8710292.714858e-08
0.7355511.8708272.706664e-08
0.7389721.8706262.698433e-08
0.7424091.8704272.690163e-08
0.7458631.870232.681854e-08
0.7493321.8700342.673507e-08
0.7528171.869842.665122e-08
0.7563191.8696472.656697e-08
0.7598371.8694562.648233e-08
0.7633711.8692672.639729e-08
0.7669221.8690782.631186e-08
0.7704891.8688922.622604e-08
0.7740731.8687072.613981e-08
0.7776731.8685232.605318e-08
0.781291.8683412.596615e-08
0.7849241.868162.587872e-08
0.7885751.867982.579088e-08
0.7922431.8678022.570263e-08
0.7959281.8676262.561396e-08
0.799631.867452.552489e-08
0.81.8674332.551600e-08
0.803351.8672762.471379e-08
0.8070861.8671032.381894e-08
0.810841.8669312.291993e-08
0.8146121.8667612.201673e-08
0.8184011.8665922.110933e-08
0.8222081.8664242.019772e-08
0.8260321.8662581.928186e-08
0.8298741.8660921.836174e-08
0.8337341.8659281.743734e-08
0.8376121.8657651.650865e-08
0.8415081.8656031.557563e-08
0.8454221.8654421.463827e-08
0.8493551.8652821.369656e-08
0.851.8652561.354200e-08
0.8533051.8651231.359462e-08
0.8572741.8649661.365781e-08
0.8612621.8648091.372129e-08
0.8652681.8646531.378506e-08
0.8692921.8644991.384913e-08
0.8733361.8643451.391350e-08
0.8773981.8641931.397817e-08
0.8814791.8640411.404315e-08
0.8855791.8638911.410842e-08
0.8896981.8637411.417399e-08
0.8938361.8635921.423988e-08
0.8979941.8634451.430606e-08
0.91.8633741.433800e-08
0.9021711.8632981.437260e-08
0.9063671.8631521.443949e-08
0.9105831.8630071.450669e-08
0.9148181.8628631.457420e-08
0.9190731.8627191.464203e-08
0.9233481.8625771.471017e-08
0.9276431.8624351.477863e-08
0.9319581.8622941.484741e-08
0.9362931.8621541.491651e-08
0.9406481.8620141.498593e-08
0.9450231.8618761.505567e-08
0.9494191.8617381.512573e-08
0.951.861721.513500e-08
0.9538351.8616011.519605e-08
0.9582711.8614641.526668e-08
0.9627291.8613291.533764e-08
0.9672071.8611941.540893e-08
0.9717051.861061.548055e-08
0.9762251.8609261.555250e-08
0.9807661.8607931.562479e-08
0.9853281.8606611.569742e-08
0.9899111.8605291.577038e-08
0.9945151.8603981.584368e-08
0.9991411.8602671.591732e-08
11.8602431.593100e-08
1.003791.8601381.599136e-08
1.008461.8600081.606575e-08
1.013151.859881.614049e-08
1.017861.8597511.621558e-08
1.022591.8596241.629101e-08
1.027351.8594971.636680e-08
1.032131.859371.644293e-08
1.036931.8592441.651943e-08
1.041751.8591191.659628e-08
1.04661.8589941.667348e-08
1.051471.8588691.675105e-08
1.056361.8587451.682897e-08
1.061.8586531.688700e-08
1.061271.8586211.690726e-08
1.066211.8584981.698593e-08
1.071171.8583751.706496e-08
1.076151.8582531.714435e-08
1.081151.8581311.722412e-08
1.086181.8580091.730426e-08
1.091241.8578881.738477e-08
1.096311.8577671.746565e-08
1.101411.8576471.754691e-08
1.106531.8575261.762855e-08
1.111681.8574071.771057e-08
1.116851.8572871.779297e-08
1.122051.8571681.787576e-08
1.127271.8570491.795892e-08
1.132511.856931.804248e-08
1.137781.8568121.812642e-08
1.143071.8566941.821076e-08
1.148391.8565761.829549e-08
1.153731.8564591.838061e-08
1.159091.8563411.846612e-08
1.164481.8562241.855204e-08
1.16991.8561081.863835e-08
1.175341.8559911.872507e-08
1.180811.8558741.881219e-08
1.18631.8557581.889971e-08
1.191821.8556421.898764e-08
1.197361.8555261.907598e-08
1.21.8554711.911800e-08
1.202931.855411.916472e-08
1.208531.8552941.925385e-08
1.214151.8551791.934340e-08
1.21981.8550631.943336e-08
1.225471.8549481.952374e-08
1.231171.8548331.961454e-08
1.23691.8547181.970577e-08
1.242651.8546021.979742e-08
1.248431.8544871.988949e-08
1.254241.8543721.998199e-08
1.260071.8542572.007493e-08
1.265931.8541422.016829e-08
1.271821.8540282.026209e-08
1.277741.8539132.035633e-08
1.283681.8537982.045101e-08
1.289651.8536832.054612e-08
1.295651.8535682.064168e-08
1.301671.8534532.073768e-08
1.307731.8533382.083413e-08
1.313811.8532232.093103e-08
1.319921.8531072.102837e-08
1.326061.8529922.112617e-08
1.332231.8528772.122443e-08
1.338431.8527612.132314e-08
1.344651.8526462.142231e-08
1.350911.852532.152195e-08
1.357191.8524142.162204e-08
1.36351.8522982.172260e-08
1.369851.8521822.182363e-08
1.376221.8520662.192513e-08
1.382621.8519492.202711e-08
1.389051.8518332.212955e-08
1.395511.8517162.223247e-08
1.41.8516352.230400e-08
1.4021.8515992.233588e-08
1.408521.8514812.243976e-08
1.415071.8513642.254412e-08
1.421661.8512462.264897e-08
1.428271.8511282.275431e-08
1.434911.851012.286014e-08
1.441591.8508912.296646e-08
1.448291.8507722.307328e-08
1.455031.8506532.318059e-08
1.46181.8505332.328840e-08
1.468591.8504142.339671e-08
1.475431.8502932.350553e-08
1.482291.8501732.361485e-08
1.489181.8500522.372468e-08
1.496111.8499312.383503e-08
1.503071.8498092.394588e-08
1.510061.8496872.405725e-08
1.517081.8495652.416914e-08
1.524141.8494422.428155e-08
1.531231.8493192.439448e-08
1.538351.8491952.450794e-08
1.545511.8490712.462193e-08
1.55271.8489462.473644e-08
1.559921.8488212.485149e-08
1.567171.8486952.496707e-08
1.574461.8485692.508319e-08
1.581791.8484432.519985e-08
1.589141.8483162.531706e-08
1.596541.8481882.543481e-08
1.61.8481282.549000e-08
1.603961.848062.640720e-08
1.611421.8479312.813466e-08
1.618921.8478022.987015e-08
1.626451.8476723.161371e-08
1.634011.8475413.336538e-08
1.641611.847413.512520e-08
1.649251.8472783.689320e-08
1.656921.8471463.866943e-08
1.664631.8470134.045392e-08
1.672371.8468794.224671e-08
1.680151.8467444.404784e-08
1.687961.8466094.585734e-08
1.695811.8464734.767526e-08
1.70371.8463374.950164e-08
1.711631.84625.133652e-08
1.719591.8460615.317993e-08
1.727591.8459235.503191e-08
1.735621.8457835.689250e-08
1.743691.8456435.876176e-08
1.751811.8455026.063970e-08
1.759951.845366.252638e-08
1.768141.8452176.442184e-08
1.776361.8450736.632611e-08
1.784631.8449296.823924e-08
1.792931.8447837.016127e-08
1.81.8446597.179900e-08
1.801271.8446377.348324e-08
1.809641.844498.462556e-08
1.818061.8443429.581971e-08
1.826521.8441931.070659e-07
1.835011.8440431.183645e-07
1.843551.8438921.297155e-07
1.852121.843741.411194e-07
1.860741.8435871.525763e-07
1.869391.8434331.640866e-07
1.878091.8432781.756503e-07
1.886821.8431221.872678e-07
1.89561.8429651.989394e-07
1.904421.8428072.106653e-07
1.913281.8426482.224457e-07
1.922181.8424872.342809e-07
1.931121.8423262.461711e-07
1.94011.8421632.581167e-07
1.949121.8422.701178e-07
1.958191.8418352.821747e-07
1.96731.8416692.942877e-07
1.976451.8415013.064571e-07
1.985641.8413333.186831e-07
1.994881.8411633.309659e-07
21.8410693.377800e-07
2.004161.8409923.490361e-07
2.013481.8408193.742893e-07
2.022841.8406463.996601e-07
2.032251.8404714.251488e-07
2.04171.8402954.507561e-07
2.05121.8401174.764825e-07
2.060741.8399385.023285e-07
2.070331.8397575.282948e-07
2.079961.8395765.543819e-07
2.089631.8393925.805903e-07
2.099351.8392086.069206e-07
2.109121.8390216.333733e-07
2.118931.8388346.599491e-07
2.128781.8386456.866486e-07
2.138681.8384547.134722e-07
2.148631.8382617.404205e-07
2.158621.8380687.674943e-07
2.168671.8378727.946939e-07
2.178751.8376758.220201e-07
2.188891.8374768.494734e-07
2.199071.8372768.770543e-07
2.21.8372578.795800e-07
2.20931.8370741.013786e-06
2.219571.836871.162139e-06
2.22991.8366641.311182e-06
2.240271.8364571.460918e-06
2.250691.8362481.611351e-06
2.261161.8360371.762483e-06
2.271671.8358251.914319e-06
2.282241.835612.066860e-06
2.292861.8353942.220111e-06
2.303521.8351752.374075e-06
2.314241.8349552.528755e-06
2.3251.8347332.684155e-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
—