Optical constants

Refractive index of H-ZLAF78B (CDGM)

H-ZLAF78B: 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
1.90069
Extinction coefficient k
2.81403e-08
Permittivity ε1
3.6126
Permittivity ε2
1.06972e-07
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
37.051
Chromatic dispersion dn/dλ
-0.12355 µm⁻¹
Group index ng
1.97328
Group velocity dispersion
238.191 fs²/mm
Dispersion parameter D
-1299.46 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-ZLAF78B (CDGM): H-ZLAF78B
cdgm_h_zlaf78b = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF78B", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf78b.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf78b.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=0.299636528λ2λ2−0.047054626+2.19452718λ2λ2−0.011540397+1.53572385λ2λ2−112.608928

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.299636528
C30.047054626
C42.19452718
C50.011540397
C61.53572385
C7112.608928

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -4.39e-07 1.46e-08 -2.76e-11 8.87e-07 7.53e-10 0.22
nd
1.900690
Vd
37.050531
glass code
901371
density
value: 4950
thermal expansion
value: 6.8e-06, temperature range: 243 343; value: 8.6e-06, temperature range: 293 573
dPgF
-0.0046
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.42e-06 K⁻¹ at 633 nm, dn/dT = 6.20e-08 K⁻¹ at 1310 nm, dn/dT = -4.13e-08 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-ZLAF78B (CDGM), H-ZLAF78B: n and k versus wavelength
λ (µm)nk
0.3651.9657292.234100e-06
0.3666981.9645982.014956e-06
0.3684031.9634841.794793e-06
0.371.962461.588700e-06
0.3701171.9623851.581690e-06
0.3718381.9613031.478480e-06
0.3735681.9602351.374790e-06
0.3753061.9591831.270619e-06
0.3770511.9581461.165962e-06
0.3788051.9571241.060819e-06
0.381.9564389.891800e-07
0.3805671.9561169.710448e-07
0.3823371.9551219.144285e-07
0.3841161.9541418.575489e-07
0.3859021.9531748.004048e-07
0.3876971.952227.429948e-07
0.38951.9512796.853178e-07
0.391.9510226.693400e-07
0.3913121.9503516.435368e-07
0.3931321.9494356.077441e-07
0.3949611.9485325.717849e-07
0.3967981.9476415.356585e-07
0.3986441.9467614.993640e-07
0.41.9461254.726900e-07
0.4004981.9458934.680423e-07
0.4023611.9450374.506498e-07
0.4042321.9441914.331764e-07
0.4061121.9433574.156218e-07
0.4080011.9425333.979855e-07
0.4098991.941723.802671e-07
0.4118061.9409183.624664e-07
0.4137211.9401253.445828e-07
0.4156451.9393433.266161e-07
0.4175791.9385713.085658e-07
0.4195211.9378082.904316e-07
0.421.9376222.859600e-07
0.4214721.9370552.794903e-07
0.4234331.9363112.708763e-07
0.4254021.9355772.622222e-07
0.4273811.9348522.535278e-07
0.4293691.9341352.447930e-07
0.4313661.9334282.360176e-07
0.4333721.9327292.272014e-07
0.4353881.9320382.183441e-07
0.4374131.9313562.094457e-07
0.4394481.9306832.005059e-07
0.441.9305021.980800e-07
0.4414921.9300171.938824e-07
0.4435451.9293591.881049e-07
0.4456091.9287091.823004e-07
0.4476811.9280671.764689e-07
0.4497641.9274331.706103e-07
0.4518561.9268061.647245e-07
0.4539571.9261871.588113e-07
0.4560691.9255741.528706e-07
0.458191.9249691.469022e-07
0.461.9244611.418100e-07
0.4603211.9243711.410855e-07
0.4624621.923781.362570e-07
0.4646131.9231961.314060e-07
0.4667751.9226191.265324e-07
0.4689461.9220481.216362e-07
0.4711271.9214841.167173e-07
0.4733181.9209261.117754e-07
0.475521.9203741.068106e-07
0.4777321.9198291.018226e-07
0.4799541.919299.681148e-08
0.481.9192799.670700e-08
0.4821861.9187579.315132e-08
0.4844291.918238.950339e-08
0.4866821.9177098.583850e-08
0.4889461.9171948.215656e-08
0.491221.9166857.845749e-08
0.4935051.9161817.474122e-08
0.49581.9156837.100766e-08
0.4981071.915196.725674e-08
0.51.9147916.417700e-08
0.5004231.9147036.385661e-08
0.5027511.9142216.209520e-08
0.5050891.9137446.032559e-08
0.5074391.9132735.854775e-08
0.5097991.9128065.676164e-08
0.512171.9123455.496723e-08
0.5145531.9118895.316447e-08
0.5169461.9114385.135332e-08
0.519351.9109914.953375e-08
0.5217661.9105494.770572e-08
0.5241931.9101124.586918e-08
0.5266311.909684.402410e-08
0.5290811.9092524.217044e-08
0.5315421.9088294.030815e-08
0.5340141.9084113.843721e-08
0.5364981.9079963.655756e-08
0.5389931.9075863.466917e-08
0.54151.9071813.277199e-08
0.5440191.9067793.086600e-08
0.5465491.9063822.895113e-08
0.5490921.9059892.702736e-08
0.551.905852.634000e-08
0.5516461.90562.641880e-08
0.5542121.9052152.654165e-08
0.5567891.9048342.666508e-08
0.5593791.9044572.678908e-08
0.5619811.9040842.691365e-08
0.5645951.9037142.703881e-08
0.5672211.9033492.716455e-08
0.5698591.9029872.729087e-08
0.572511.9026282.741778e-08
0.5751731.9022742.754528e-08
0.5778481.9019232.767338e-08
0.5805361.9015752.780207e-08
0.5832361.9012312.793136e-08
0.5859491.900892.806125e-08
0.5886751.9005532.819174e-08
0.5914131.9002192.832284e-08
0.5941641.8998882.845455e-08
0.5969271.8995612.858688e-08
0.5997041.8992372.871982e-08
0.61.8992032.873400e-08
0.6024931.8989162.833499e-08
0.6052961.8985982.788650e-08
0.6081111.8982842.743591e-08
0.610941.8979722.698324e-08
0.6137811.8976632.652845e-08
0.6166361.8973582.607156e-08
0.6195041.8970552.561253e-08
0.6223861.8967552.515137e-08
0.6252811.8964582.468807e-08
0.6281891.8961642.422261e-08
0.6311111.8958732.375499e-08
0.6340471.8955852.328519e-08
0.6369961.8952992.281321e-08
0.6399591.8950162.233903e-08
0.6429351.8947352.186264e-08
0.6459261.8944582.138404e-08
0.648931.8941822.090322e-08
0.651.8940852.073200e-08
0.6519491.893912.079412e-08
0.6549811.893642.089079e-08
0.6580281.8933722.098792e-08
0.6610881.8931072.108549e-08
0.6641631.8928442.118352e-08
0.6672521.8925842.128201e-08
0.6703561.8923262.138095e-08
0.6734741.8920712.148035e-08
0.6766071.8918172.158022e-08
0.6797541.8915662.168055e-08
0.6829151.8913182.178135e-08
0.6860921.8910712.188261e-08
0.6892831.8908272.198435e-08
0.6924891.8905852.208656e-08
0.695711.8903452.218924e-08
0.6989461.8901072.229241e-08
0.71.890032.232600e-08
0.7021971.8898712.211548e-08
0.7054631.8896382.180255e-08
0.7087451.8894062.148816e-08
0.7120411.8891762.117232e-08
0.7153531.8889492.085500e-08
0.7186811.8887232.053621e-08
0.7220231.8884992.021593e-08
0.7253821.8882781.989417e-08
0.7287561.8880581.957090e-08
0.7321461.887841.924614e-08
0.7355511.8876231.891986e-08
0.7389721.8874091.859207e-08
0.7424091.8871961.826275e-08
0.7458631.8869851.793190e-08
0.7493321.8867761.759951e-08
0.7528171.8865691.726557e-08
0.7563191.8863631.693009e-08
0.7598371.8861591.659304e-08
0.7633711.8859571.625442e-08
0.7669221.8857561.591423e-08
0.7704891.8855571.557245e-08
0.7740731.885361.522909e-08
0.7776731.8851641.488413e-08
0.781291.8849691.453756e-08
0.7849241.8847771.418939e-08
0.7885751.8845851.383959e-08
0.7922431.8843951.348817e-08
0.7959281.8842071.313511e-08
0.799631.884021.278041e-08
0.81.8840021.274500e-08
0.803351.8838351.279840e-08
0.8070861.8836511.285796e-08
0.810841.8834681.291780e-08
0.8146121.8832871.297791e-08
0.8184011.8831071.303831e-08
0.8222081.8829281.309899e-08
0.8260321.8827511.315995e-08
0.8298741.8825751.322119e-08
0.8337341.88241.328272e-08
0.8376121.8822271.334454e-08
0.8415081.8820551.340664e-08
0.8454221.8818841.346903e-08
0.8493551.8817141.353171e-08
0.851.8816861.354200e-08
0.8533051.8815451.359462e-08
0.8572741.8813781.365781e-08
0.8612621.8812121.372129e-08
0.8652681.8810471.378506e-08
0.8692921.8808831.384913e-08
0.8733361.880721.391350e-08
0.8773981.8805581.397817e-08
0.8814791.8803971.404315e-08
0.8855791.8802381.410842e-08
0.8896981.8800791.417399e-08
0.8938361.8799221.423988e-08
0.8979941.8797651.430606e-08
0.91.879691.433800e-08
0.9021711.879611.437260e-08
0.9063671.8794551.443949e-08
0.9105831.8793021.450669e-08
0.9148181.8791491.457420e-08
0.9190731.8789971.464203e-08
0.9233481.8788461.471017e-08
0.9276431.8786971.477863e-08
0.9319581.8785481.484741e-08
0.9362931.87841.491651e-08
0.9406481.8782521.498593e-08
0.9450231.8781061.505567e-08
0.9494191.877961.512573e-08
0.951.8779411.513500e-08
0.9538351.8778161.519605e-08
0.9582711.8776721.526668e-08
0.9627291.8775291.533764e-08
0.9672071.8773861.540893e-08
0.9717051.8772451.548055e-08
0.9762251.8771041.555250e-08
0.9807661.8769641.562479e-08
0.9853281.8768241.569742e-08
0.9899111.8766861.577038e-08
0.9945151.8765481.584368e-08
0.9991411.876411.591732e-08
11.8763851.593100e-08
1.003791.8762741.599136e-08
1.008461.8761381.606575e-08
1.013151.8760021.614049e-08
1.017861.8758681.621558e-08
1.022591.8757341.629101e-08
1.027351.87561.636680e-08
1.032131.8754671.644293e-08
1.036931.8753351.651943e-08
1.041751.8752031.659628e-08
1.04661.8750721.667348e-08
1.051471.8749411.675105e-08
1.056361.8748111.682897e-08
1.061.8747151.688700e-08
1.061271.8746821.690726e-08
1.066211.8745521.698593e-08
1.071171.8744241.706496e-08
1.076151.8742961.714435e-08
1.081151.8741681.722412e-08
1.086181.8740411.730426e-08
1.091241.8739141.738477e-08
1.096311.8737881.746565e-08
1.101411.8736621.754691e-08
1.106531.8735361.762855e-08
1.111681.8734111.771057e-08
1.116851.8732861.779297e-08
1.122051.8731621.787576e-08
1.127271.8730381.795892e-08
1.132511.8729141.804248e-08
1.137781.8727911.812642e-08
1.143071.8726681.821076e-08
1.148391.8725451.829549e-08
1.153731.8724231.838061e-08
1.159091.8723011.846612e-08
1.164481.8721791.855204e-08
1.16991.8720571.863835e-08
1.175341.8719361.872507e-08
1.180811.8718151.881219e-08
1.18631.8716941.889971e-08
1.191821.8715731.898764e-08
1.197361.8714531.907598e-08
1.21.8713961.911800e-08
1.202931.8713331.916472e-08
1.208531.8712131.925385e-08
1.214151.8710931.934340e-08
1.21981.8709731.943336e-08
1.225471.8708531.952374e-08
1.231171.8707341.961454e-08
1.23691.8706151.970577e-08
1.242651.8704961.979742e-08
1.248431.8703771.988949e-08
1.254241.8702581.998199e-08
1.260071.8701392.007493e-08
1.265931.870022.016829e-08
1.271821.8699012.026209e-08
1.277741.8697822.035633e-08
1.283681.8696642.045101e-08
1.289651.8695452.054612e-08
1.295651.8694272.064168e-08
1.301671.8693082.073768e-08
1.307731.8691892.083413e-08
1.313811.8690712.093103e-08
1.319921.8689522.102837e-08
1.326061.8688332.112617e-08
1.332231.8687152.122443e-08
1.338431.8685962.132314e-08
1.344651.8684772.142231e-08
1.350911.8683582.152195e-08
1.357191.8682392.162204e-08
1.36351.868122.172260e-08
1.369851.8680012.182363e-08
1.376221.8678812.192513e-08
1.382621.8677622.202711e-08
1.389051.8676422.212955e-08
1.395511.8675222.223247e-08
1.41.8674392.230400e-08
1.4021.8674022.233588e-08
1.408521.8672822.243976e-08
1.415071.8671622.254412e-08
1.421661.8670412.264897e-08
1.428271.866922.275431e-08
1.434911.8667992.286014e-08
1.441591.8666782.296646e-08
1.448291.8665562.307328e-08
1.455031.8664342.318059e-08
1.46181.8663122.328840e-08
1.468591.866192.339671e-08
1.475431.8660672.350553e-08
1.482291.8659442.361485e-08
1.489181.8658212.372468e-08
1.496111.8656972.383503e-08
1.503071.8655732.394588e-08
1.510061.8654492.405725e-08
1.517081.8653242.416914e-08
1.524141.8651992.428155e-08
1.531231.8650742.439448e-08
1.538351.8649482.450794e-08
1.545511.8648212.462193e-08
1.55271.8646952.473644e-08
1.559921.8645672.485149e-08
1.567171.864442.496707e-08
1.574461.8643122.508319e-08
1.581791.8641832.519985e-08
1.589141.8640542.531706e-08
1.596541.8639242.543481e-08
1.61.8638642.549000e-08
1.603961.8637942.669249e-08
1.611421.8636642.895725e-08
1.618921.8635323.123255e-08
1.626451.8634013.351843e-08
1.634011.8632683.581494e-08
1.641611.8631353.812214e-08
1.649251.8630024.044006e-08
1.656921.8628684.276877e-08
1.664631.8627334.510831e-08
1.672371.8625984.745873e-08
1.680151.8624624.982008e-08
1.687961.8623255.219242e-08
1.695811.8621885.457579e-08
1.70371.862055.697025e-08
1.711631.8619115.937584e-08
1.719591.8617726.179263e-08
1.727591.8616316.422065e-08
1.735621.8614916.665997e-08
1.743691.8613496.911064e-08
1.751811.8612067.157270e-08
1.759951.8610637.404622e-08
1.768141.8609197.653124e-08
1.776361.8607747.902782e-08
1.784631.8606298.153601e-08
1.792931.8604828.405587e-08
1.81.8603578.620300e-08
1.801271.8603358.769320e-08
1.809641.8601879.755180e-08
1.818061.8600371.074563e-07
1.826521.8598871.174068e-07
1.835011.8597371.274036e-07
1.843551.8595851.374469e-07
1.852121.8594321.475369e-07
1.860741.8592781.576739e-07
1.869391.8591231.678580e-07
1.878091.8589681.780895e-07
1.886821.8588111.883685e-07
1.89561.8586531.986954e-07
1.904421.8584942.090703e-07
1.913281.8583342.194935e-07
1.922181.8581732.299651e-07
1.931121.8580112.404855e-07
1.94011.8578482.510548e-07
1.949121.8576842.616732e-07
1.958191.8575182.723411e-07
1.96731.8573522.830585e-07
1.976451.8571842.938258e-07
1.985641.8570153.046432e-07
1.994881.8568453.155109e-07
21.856753.215400e-07
2.004161.8566733.331335e-07
2.013481.85653.591437e-07
2.022841.8563273.852749e-07
2.032251.8561514.115276e-07
2.04171.8559754.379024e-07
2.05121.8557974.644000e-07
2.060741.8556184.910207e-07
2.070331.8554375.177653e-07
2.079961.8552555.446343e-07
2.089631.8550725.716283e-07
2.099351.8548875.987478e-07
2.109121.8547016.259935e-07
2.118931.8545136.533659e-07
2.128781.8543246.808656e-07
2.138681.8541337.084932e-07
2.148631.8539417.362494e-07
2.158621.8537477.641346e-07
2.168671.8535527.921495e-07
2.178751.8533558.202948e-07
2.188891.8531578.485709e-07
2.199071.8529568.769786e-07
2.21.8529388.795800e-07
2.20931.8527559.966487e-07
2.219571.8525511.126058e-06
2.22991.8523461.256068e-06
2.240271.8521391.386684e-06
2.250691.8519311.517907e-06
2.261161.851721.649740e-06
2.271671.8515081.782187e-06
2.282241.8512941.915249e-06
2.292861.8510782.048931e-06
2.303521.8508612.183234e-06
2.314241.8506412.318162e-06
2.3251.850422.453717e-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
—