Optical constants

Refractive index of D-ZLAF81 (CDGM)

D-ZLAF81: 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
1.8088
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.27174
Permittivity ε2
3.38655e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
40.999
Chromatic dispersion dn/dλ
-0.100633 µm⁻¹
Group index ng
1.86793
Group velocity dispersion
189.917 fs²/mm
Dispersion parameter D
-1036.1 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

# D-ZLAF81 (CDGM): D-ZLAF81
cdgm_d_zlaf81 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZLAF81", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zlaf81.range_nm)  # (365, 2325) nm
eps = cdgm_d_zlaf81.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=1.8861875λ2λ2−0.00991169457+0.294671919λ2λ2−0.0409687583+1.27989084λ2λ2−97.797523

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.8861875
C30.00991169457
C40.294671919
C50.0409687583
C61.27989084
C797.797523

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 5.18e-06 1.52e-08 1.59e-10 5.99e-07 9.97e-11 0.282
nd
1.808800
Vd
40.999441
glass code
809410
density
value: 4550
thermal expansion
value: 6.4e-06, temperature range: 243 343; value: 8.1e-06, temperature range: 293 573
dPgF
-0.0059

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.41e-06 K⁻¹ at 633 nm, dn/dT = 3.39e-06 K⁻¹ at 1310 nm, dn/dT = 3.31e-06 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
D-ZLAF81 (CDGM), D-ZLAF81: n and k versus wavelength
λ (µm)nk
0.3651.8605329.455600e-07
0.3666981.8596548.475871e-07
0.3684031.8587877.491584e-07
0.371.8579916.570200e-07
0.3701171.8579336.539782e-07
0.3718381.857096.091959e-07
0.3735681.8562585.642053e-07
0.3753061.8554385.190054e-07
0.3770511.8546284.735953e-07
0.3788051.8538294.279739e-07
0.381.8532933.968900e-07
0.3805671.8530413.892501e-07
0.3823371.8522633.653992e-07
0.3841161.8514953.414374e-07
0.3859021.8507373.173641e-07
0.3876971.8499892.931788e-07
0.38951.8492512.688810e-07
0.391.8490482.621500e-07
0.3913121.8485222.527079e-07
0.3931321.8478022.396103e-07
0.3949611.8470912.264517e-07
0.3967981.846392.132320e-07
0.3986441.8456971.999508e-07
0.41.8451951.901900e-07
0.4004981.8450131.884201e-07
0.4023611.8443371.817967e-07
0.4042321.843671.751425e-07
0.4061121.8430111.684574e-07
0.4080011.842361.617412e-07
0.4098991.8417181.549938e-07
0.4118061.8410831.482149e-07
0.4137211.8404561.414046e-07
0.4156451.8398361.345625e-07
0.4175791.8392241.276887e-07
0.4195211.8386191.207828e-07
0.421.8384721.190800e-07
0.4214721.8380221.168396e-07
0.4234331.8374321.138566e-07
0.4254021.8368491.108598e-07
0.4273811.8362721.078490e-07
0.4293691.8357031.048243e-07
0.4313661.835141.017854e-07
0.4333721.8345849.873245e-08
0.4353881.8340349.566527e-08
0.4374131.8334919.258383e-08
0.4394481.8329548.948805e-08
0.441.832818.864800e-08
0.4414921.8324248.699509e-08
0.4435451.8318998.471999e-08
0.4456091.8313818.243430e-08
0.4476811.8308688.013799e-08
0.4497641.8303627.783099e-08
0.4518561.8298617.551327e-08
0.4539571.8293667.318476e-08
0.4560691.8288767.084543e-08
0.458191.8283926.849521e-08
0.461.8279856.649000e-08
0.4603211.8279136.616269e-08
0.4624621.827446.398133e-08
0.4646131.8269726.178982e-08
0.4667751.826515.958812e-08
0.4689461.8260525.737618e-08
0.4711271.82565.515396e-08
0.4733181.8251525.292139e-08
0.475521.824715.067844e-08
0.4777321.8242724.842506e-08
0.4799541.8238394.616120e-08
0.481.823834.611400e-08
0.4821861.8234114.456679e-08
0.4844291.8229884.297944e-08
0.4866821.8225694.138471e-08
0.4889461.8221553.978257e-08
0.491221.8217453.817297e-08
0.4935051.8213393.655588e-08
0.49581.8209383.493127e-08
0.4981071.8205413.329911e-08
0.51.820223.195900e-08
0.5004231.8201493.176258e-08
0.5027511.8197613.068271e-08
0.5050891.8193762.959782e-08
0.5074391.8189962.850788e-08
0.5097991.818622.741287e-08
0.512171.8182482.631277e-08
0.5145531.817882.520756e-08
0.5169461.8175152.409720e-08
0.519351.8171542.298167e-08
0.5217661.8167982.186096e-08
0.5241931.8164442.073504e-08
0.5266311.8160951.960388e-08
0.5290811.8157491.846745e-08
0.5315421.8154071.732575e-08
0.5340141.8150681.617873e-08
0.5364981.8147321.502637e-08
0.5389931.8144011.386866e-08
0.54151.8140721.270556e-08
0.5440191.8137471.153705e-08
0.5465491.8134251.036310e-08
0.5490921.8131069.183700e-09
0.551.8129938.762300e-09
0.5516461.8127918.788519e-09
0.5542121.8124788.829399e-09
0.5567891.8121698.870469e-09
0.5593791.8118638.911730e-09
0.5619811.811568.953182e-09
0.5645951.811268.994828e-09
0.5672211.8109639.036667e-09
0.5698591.8106699.078701e-09
0.572511.8103779.120931e-09
0.5751731.8100899.163356e-09
0.5778481.8098039.205980e-09
0.5805361.809529.248801e-09
0.5832361.809249.291822e-09
0.5859491.8089639.335042e-09
0.5886751.8086889.378464e-09
0.5914131.8084169.422088e-09
0.5941641.8081479.465915e-09
0.5969271.807889.509945e-09
0.5997041.8076169.554180e-09
0.61.8075889.558900e-09
0.6024931.8073549.598596e-09
0.6052961.8070949.643216e-09
0.6081111.8068389.688043e-09
0.610941.8065839.733079e-09
0.6137811.8063319.778324e-09
0.6166361.8060819.823780e-09
0.6195041.8058349.869447e-09
0.6223861.8055899.915327e-09
0.6252811.8053469.961420e-09
0.6281891.8051061.000773e-08
0.6311111.8048671.005425e-08
0.6340471.8046311.010099e-08
0.6369961.8043971.014795e-08
0.6399591.8041651.019512e-08
0.6429351.8039351.024251e-08
0.6459261.8037081.029013e-08
0.648931.8034821.033797e-08
0.651.8034021.035500e-08
0.6519491.8032581.038606e-08
0.6549811.8030371.043440e-08
0.6580281.8028171.048296e-08
0.6610881.8025991.053175e-08
0.6641631.8023841.058076e-08
0.6672521.802171.063000e-08
0.6703561.8019581.067947e-08
0.6734741.8017481.072918e-08
0.6766071.8015391.077911e-08
0.6797541.8013331.082927e-08
0.6829151.8011281.087967e-08
0.6860921.8009251.093031e-08
0.6892831.8007241.098117e-08
0.6924891.8005241.103228e-08
0.695711.8003261.108362e-08
0.6989461.800131.113520e-08
0.71.8000671.115200e-08
0.7021971.7999361.118700e-08
0.7054631.7997431.123903e-08
0.7087451.7995521.129130e-08
0.7120411.7993621.134382e-08
0.7153531.7991741.139658e-08
0.7186811.7989871.144958e-08
0.7220231.7988021.150283e-08
0.7253821.7986191.155633e-08
0.7287561.7984371.161008e-08
0.7321461.7982561.166408e-08
0.7355511.7980771.171833e-08
0.7389721.7978991.177283e-08
0.7424091.7977231.182758e-08
0.7458631.7975481.188259e-08
0.7493321.7973741.193786e-08
0.7528171.7972021.199338e-08
0.7563191.7970311.204916e-08
0.7598371.7968621.210520e-08
0.7633711.7966941.216150e-08
0.7669221.7965271.221806e-08
0.7704891.7963611.227489e-08
0.7740731.7961961.233198e-08
0.7776731.7960331.238933e-08
0.781291.7958711.244696e-08
0.7849241.795711.250485e-08
0.7885751.7955511.256301e-08
0.7922431.7953921.262144e-08
0.7959281.7952351.268014e-08
0.799631.7950791.273911e-08
0.81.7950631.274500e-08
0.803351.7949241.279840e-08
0.8070861.794771.285796e-08
0.810841.7946171.291780e-08
0.8146121.7944651.297791e-08
0.8184011.7943141.303831e-08
0.8222081.7941651.309899e-08
0.8260321.7940161.315995e-08
0.8298741.7938681.322119e-08
0.8337341.7937221.328272e-08
0.8376121.7935761.334454e-08
0.8415081.7934311.340664e-08
0.8454221.7932871.346903e-08
0.8493551.7931441.353171e-08
0.851.7931211.354200e-08
0.8533051.7930021.359462e-08
0.8572741.7928611.365781e-08
0.8612621.7927211.372129e-08
0.8652681.7925821.378506e-08
0.8692921.7924431.384913e-08
0.8733361.7923061.391350e-08
0.8773981.7921691.397817e-08
0.8814791.7920331.404315e-08
0.8855791.7918981.410842e-08
0.8896981.7917641.417399e-08
0.8938361.791631.423988e-08
0.8979941.7914971.430606e-08
0.91.7914341.433800e-08
0.9021711.7913651.437260e-08
0.9063671.7912341.443949e-08
0.9105831.7911041.450669e-08
0.9148181.7909741.457420e-08
0.9190731.7908451.464203e-08
0.9233481.7907161.471017e-08
0.9276431.7905881.477863e-08
0.9319581.7904611.484741e-08
0.9362931.7903351.491651e-08
0.9406481.7902091.498593e-08
0.9450231.7900841.505567e-08
0.9494191.7899591.512573e-08
0.951.7899431.513500e-08
0.9538351.7898351.519605e-08
0.9582711.7897121.526668e-08
0.9627291.7895891.533764e-08
0.9672071.7894671.540893e-08
0.9717051.7893461.548055e-08
0.9762251.7892241.555250e-08
0.9807661.7891041.562479e-08
0.9853281.7889841.569742e-08
0.9899111.7888641.577038e-08
0.9945151.7887451.584368e-08
0.9991411.7886271.591732e-08
11.7886051.593100e-08
1.003791.7885091.599136e-08
1.008461.7883911.606575e-08
1.013151.7882741.614049e-08
1.017861.7881571.621558e-08
1.022591.7880411.629101e-08
1.027351.7879251.636680e-08
1.032131.787811.644293e-08
1.036931.7876951.651943e-08
1.041751.787581.659628e-08
1.04661.7874661.667348e-08
1.051471.7873521.675105e-08
1.056361.7872391.682897e-08
1.061.7871551.688700e-08
1.061271.7871251.690726e-08
1.066211.7870131.698593e-08
1.071171.78691.706496e-08
1.076151.7867881.714435e-08
1.081151.7866761.722412e-08
1.086181.7865641.730426e-08
1.091241.7864531.738477e-08
1.096311.7863421.746565e-08
1.101411.7862311.754691e-08
1.106531.7861211.762855e-08
1.111681.786011.771057e-08
1.116851.78591.779297e-08
1.122051.785791.787576e-08
1.127271.7856811.795892e-08
1.132511.7855711.804248e-08
1.137781.7854621.812642e-08
1.143071.7853531.821076e-08
1.148391.7852441.829549e-08
1.153731.7851351.838061e-08
1.159091.7850261.846612e-08
1.164481.7849181.855204e-08
1.16991.784811.863835e-08
1.175341.7847011.872507e-08
1.180811.7845931.881219e-08
1.18631.7844851.889971e-08
1.191821.7843771.898764e-08
1.197361.7842691.907598e-08
1.21.7842181.911800e-08
1.202931.7841611.916472e-08
1.208531.7840541.925385e-08
1.214151.7839461.934340e-08
1.21981.7838381.943336e-08
1.225471.7837311.952374e-08
1.231171.7836231.961454e-08
1.23691.7835151.970577e-08
1.242651.7834081.979742e-08
1.248431.78331.988949e-08
1.254241.7831921.998199e-08
1.260071.7830842.007493e-08
1.265931.7829772.016829e-08
1.271821.7828692.026209e-08
1.277741.7827612.035633e-08
1.283681.7826532.045101e-08
1.289651.7825452.054612e-08
1.295651.7824372.064168e-08
1.301671.7823282.073768e-08
1.307731.782222.083413e-08
1.313811.7821112.093103e-08
1.319921.7820032.102837e-08
1.326061.7818942.112617e-08
1.332231.7817852.122443e-08
1.338431.7816762.132314e-08
1.344651.7815672.142231e-08
1.350911.7814572.152195e-08
1.357191.7813472.162204e-08
1.36351.7812372.172260e-08
1.369851.7811272.182363e-08
1.376221.7810172.192513e-08
1.382621.7809062.202711e-08
1.389051.7807952.212955e-08
1.395511.7806842.223247e-08
1.41.7806072.230400e-08
1.4021.7805732.233588e-08
1.408521.7804612.243976e-08
1.415071.7803492.254412e-08
1.421661.7802372.264897e-08
1.428271.7801242.275431e-08
1.434911.7800112.286014e-08
1.441591.7798982.296646e-08
1.448291.7797842.307328e-08
1.455031.779672.318059e-08
1.46181.7795562.328840e-08
1.468591.7794412.339671e-08
1.475431.7793262.350553e-08
1.482291.779212.361485e-08
1.489181.7790952.372468e-08
1.496111.7789782.383503e-08
1.503071.7788612.394588e-08
1.510061.7787442.405725e-08
1.517081.7786262.416914e-08
1.524141.7785082.428155e-08
1.531231.7783892.439448e-08
1.538351.778272.450794e-08
1.545511.778152.462193e-08
1.55271.778032.473644e-08
1.559921.7779092.485149e-08
1.567171.7777882.496707e-08
1.574461.7776662.508319e-08
1.581791.7775442.519985e-08
1.589141.7774212.531706e-08
1.596541.7772972.543481e-08
1.61.7772392.549000e-08
1.603961.7771732.612223e-08
1.611421.7770482.731297e-08
1.618921.7769232.850925e-08
1.626451.7767972.971110e-08
1.634011.776673.091853e-08
1.641611.7765433.213158e-08
1.649251.7764143.335028e-08
1.656921.7762863.457464e-08
1.664631.7761563.580469e-08
1.672371.7760263.704047e-08
1.680151.7758953.828200e-08
1.687961.7757633.952930e-08
1.695811.7756314.078240e-08
1.70371.7754984.204133e-08
1.711631.7753644.330612e-08
1.719591.7752294.457679e-08
1.727591.7750934.585337e-08
1.735621.7749574.713589e-08
1.743691.774824.842437e-08
1.751811.7746824.971885e-08
1.759951.7745435.101934e-08
1.768141.7744035.232589e-08
1.776361.7742625.363851e-08
1.784631.774125.495724e-08
1.792931.7739785.628210e-08
1.81.7738565.741100e-08
1.801271.7738345.970242e-08
1.809641.773697.486163e-08
1.818061.7735449.009135e-08
1.826521.7733981.053919e-07
1.835011.7732511.207636e-07
1.843551.7731021.362069e-07
1.852121.7729531.517219e-07
1.860741.7728021.673091e-07
1.869391.7726511.829689e-07
1.878091.7724981.987014e-07
1.886821.7723442.145072e-07
1.89561.7721892.303864e-07
1.904421.7720332.463395e-07
1.913281.7718762.623668e-07
1.922181.7717182.784687e-07
1.931121.7715592.946455e-07
1.94011.7713983.108975e-07
1.949121.7712363.272251e-07
1.958191.7710733.436286e-07
1.96731.7709093.601085e-07
1.976451.7707433.766650e-07
1.985641.7705763.932985e-07
1.994881.7704084.100093e-07
21.7703144.192800e-07
2.004161.7702384.354041e-07
2.013481.7700684.715791e-07
2.022841.7698955.079222e-07
2.032251.7697225.444344e-07
2.04171.7695475.811165e-07
2.05121.7693716.179691e-07
2.060741.7691936.549932e-07
2.070331.7690146.921895e-07
2.079961.7688337.295588e-07
2.089631.7686517.671019e-07
2.099351.7684678.048196e-07
2.109121.7682828.427128e-07
2.118931.7680958.807822e-07
2.128781.7679069.190287e-07
2.138681.7677179.574531e-07
2.148631.7675259.960563e-07
2.158621.7673321.034839e-06
2.168671.7671371.073802e-06
2.178751.766941.112946e-06
2.188891.7667421.152273e-06
2.199071.7665421.191782e-06
2.21.7665241.195400e-06
2.20931.766341.383463e-06
2.219571.7661371.591350e-06
2.22991.7659311.800204e-06
2.240271.7657242.010029e-06
2.250691.7655152.220830e-06
2.261161.7653042.432612e-06
2.271671.7650922.645379e-06
2.282241.7648772.859135e-06
2.292861.764663.073886e-06
2.303521.7644423.289636e-06
2.314241.7642213.506389e-06
2.3251.7639993.724150e-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
—