Optical constants

Refractive index of D-ZLAF81-25 (CDGM)

D-ZLAF81-25: 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
1.80757
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.2673
Permittivity ε2
3.38425e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
40.973
Chromatic dispersion dn/dλ
-0.100552 µm⁻¹
Group index ng
1.86665
Group velocity dispersion
189.687 fs²/mm
Dispersion parameter D
-1034.84 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-ZLAF81-25 (CDGM): D-ZLAF81-25
cdgm_d_zlaf81_25 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZLAF81-25", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zlaf81_25.range_nm)  # (365, 2325) nm
eps = cdgm_d_zlaf81_25.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=1.90958888λ2λ2−0.0102182926+0.266893034λ2λ2−0.0421328894+1.26585975λ2λ2−97.0733228

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.90958888
C30.0102182926
C40.266893034
C50.0421328894
C61.26585975
C797.0733228

Comments and conditions

anneal rate:25°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
1.807570
Vd
40.973340
glass code
808410
density
value: 4550
thermal expansion
value: 6.4e-06, temperature range: 243 343; value: 8.1e-06, temperature range: 293 573
dPgF
-0.006

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.40e-06 K⁻¹ at 633 nm, dn/dT = 3.38e-06 K⁻¹ at 1310 nm, dn/dT = 3.30e-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-ZLAF81-25 (CDGM), D-ZLAF81-25: n and k versus wavelength
λ (µm)nk
0.3651.8592539.455600e-07
0.3666981.8583758.475871e-07
0.3684031.8575097.491584e-07
0.371.8567136.570200e-07
0.3701171.8566556.539782e-07
0.3718381.8558136.091959e-07
0.3735681.8549825.642053e-07
0.3753061.8541625.190054e-07
0.3770511.8533534.735953e-07
0.3788051.8525544.279739e-07
0.381.8520193.968900e-07
0.3805671.8517673.892501e-07
0.3823371.8509893.653992e-07
0.3841161.8502223.414374e-07
0.3859021.8494653.173641e-07
0.3876971.8487172.931788e-07
0.38951.8479792.688810e-07
0.391.8477772.621500e-07
0.3913121.8472512.527079e-07
0.3931321.8465322.396103e-07
0.3949611.8458222.264517e-07
0.3967981.8451212.132320e-07
0.3986441.8444291.999508e-07
0.41.8439281.901900e-07
0.4004981.8437461.884201e-07
0.4023611.8430711.817967e-07
0.4042321.8424041.751425e-07
0.4061121.8417461.684574e-07
0.4080011.8410961.617412e-07
0.4098991.8404541.549938e-07
0.4118061.839821.482149e-07
0.4137211.8391931.414046e-07
0.4156451.8385741.345625e-07
0.4175791.8379631.276887e-07
0.4195211.8373591.207828e-07
0.421.8372121.190800e-07
0.4214721.8367621.168396e-07
0.4234331.8361731.138566e-07
0.4254021.835591.108598e-07
0.4273811.8350141.078490e-07
0.4293691.8344461.048243e-07
0.4313661.8338831.017854e-07
0.4333721.8333289.873245e-08
0.4353881.8327799.566527e-08
0.4374131.8322369.258383e-08
0.4394481.83178.948805e-08
0.441.8315568.864800e-08
0.4414921.831178.699509e-08
0.4435451.8306468.471999e-08
0.4456091.8301288.243430e-08
0.4476811.8296168.013799e-08
0.4497641.829117.783099e-08
0.4518561.828617.551327e-08
0.4539571.8281157.318476e-08
0.4560691.8276267.084543e-08
0.458191.8271436.849521e-08
0.461.8267366.649000e-08
0.4603211.8266656.616269e-08
0.4624621.8261926.398133e-08
0.4646131.8257256.178982e-08
0.4667751.8252635.958812e-08
0.4689461.8248065.737618e-08
0.4711271.8243545.515396e-08
0.4733181.8239075.292139e-08
0.475521.8234655.067844e-08
0.4777321.8230274.842506e-08
0.4799541.8225954.616120e-08
0.481.8225864.611400e-08
0.4821861.8221674.456679e-08
0.4844291.8217444.297944e-08
0.4866821.8213264.138471e-08
0.4889461.8209123.978257e-08
0.491221.8205033.817297e-08
0.4935051.8200983.655588e-08
0.49581.8196973.493127e-08
0.4981071.8193013.329911e-08
0.51.818983.195900e-08
0.5004231.8189093.176258e-08
0.5027511.8185213.068271e-08
0.5050891.8181372.959782e-08
0.5074391.8177572.850788e-08
0.5097991.8173812.741287e-08
0.512171.8170092.631277e-08
0.5145531.8166412.520756e-08
0.5169461.8162772.409720e-08
0.519351.8159172.298167e-08
0.5217661.8155612.186096e-08
0.5241931.8152082.073504e-08
0.5266311.8148591.960388e-08
0.5290811.8145131.846745e-08
0.5315421.8141711.732575e-08
0.5340141.8138321.617873e-08
0.5364981.8134971.502637e-08
0.5389931.8131661.386866e-08
0.54151.8128381.270556e-08
0.5440191.8125131.153705e-08
0.5465491.8121911.036310e-08
0.5490921.8118739.183700e-09
0.551.811768.762300e-09
0.5516461.8115578.788519e-09
0.5542121.8112458.829399e-09
0.5567891.8109368.870469e-09
0.5593791.810638.911730e-09
0.5619811.8103288.953182e-09
0.5645951.8100288.994828e-09
0.5672211.8097319.036667e-09
0.5698591.8094379.078701e-09
0.572511.8091469.120931e-09
0.5751731.8088589.163356e-09
0.5778481.8085739.205980e-09
0.5805361.808299.248801e-09
0.5832361.808019.291822e-09
0.5859491.8077339.335042e-09
0.5886751.8074589.378464e-09
0.5914131.8071879.422088e-09
0.5941641.8069179.465915e-09
0.5969271.8066519.509945e-09
0.5997041.8063879.554180e-09
0.61.8063599.558900e-09
0.6024931.8061259.598596e-09
0.6052961.8058669.643216e-09
0.6081111.8056099.688043e-09
0.610941.8053559.733079e-09
0.6137811.8051039.778324e-09
0.6166361.8048549.823780e-09
0.6195041.8046069.869447e-09
0.6223861.8043629.915327e-09
0.6252811.8041199.961420e-09
0.6281891.8038791.000773e-08
0.6311111.803641.005425e-08
0.6340471.8034041.010099e-08
0.6369961.8031711.014795e-08
0.6399591.8029391.019512e-08
0.6429351.8027091.024251e-08
0.6459261.8024821.029013e-08
0.648931.8022561.033797e-08
0.651.8021771.035500e-08
0.6519491.8020331.038606e-08
0.6549811.8018111.043440e-08
0.6580281.8015921.048296e-08
0.6610881.8013741.053175e-08
0.6641631.8011591.058076e-08
0.6672521.8009451.063000e-08
0.6703561.8007331.067947e-08
0.6734741.8005231.072918e-08
0.6766071.8003151.077911e-08
0.6797541.8001081.082927e-08
0.6829151.7999041.087967e-08
0.6860921.7997011.093031e-08
0.6892831.79951.098117e-08
0.6924891.79931.103228e-08
0.695711.7991031.108362e-08
0.6989461.7989071.113520e-08
0.71.7988431.115200e-08
0.7021971.7987121.118700e-08
0.7054631.798521.123903e-08
0.7087451.7983281.129130e-08
0.7120411.7981391.134382e-08
0.7153531.7979511.139658e-08
0.7186811.7977641.144958e-08
0.7220231.7975791.150283e-08
0.7253821.7973961.155633e-08
0.7287561.7972141.161008e-08
0.7321461.7970341.166408e-08
0.7355511.7968551.171833e-08
0.7389721.7966771.177283e-08
0.7424091.7965011.182758e-08
0.7458631.7963261.188259e-08
0.7493321.7961531.193786e-08
0.7528171.795981.199338e-08
0.7563191.795811.204916e-08
0.7598371.795641.210520e-08
0.7633711.7954721.216150e-08
0.7669221.7953051.221806e-08
0.7704891.795141.227489e-08
0.7740731.7949751.233198e-08
0.7776731.7948121.238933e-08
0.781291.794651.244696e-08
0.7849241.794491.250485e-08
0.7885751.794331.256301e-08
0.7922431.7941721.262144e-08
0.7959281.7940151.268014e-08
0.799631.7938581.273911e-08
0.81.7938431.274500e-08
0.803351.7937031.279840e-08
0.8070861.793551.285796e-08
0.810841.7933971.291780e-08
0.8146121.7932451.297791e-08
0.8184011.7930941.303831e-08
0.8222081.7929451.309899e-08
0.8260321.7927961.315995e-08
0.8298741.7926491.322119e-08
0.8337341.7925021.328272e-08
0.8376121.7923561.334454e-08
0.8415081.7922121.340664e-08
0.8454221.7920681.346903e-08
0.8493551.7919251.353171e-08
0.851.7919021.354200e-08
0.8533051.7917831.359462e-08
0.8572741.7916421.365781e-08
0.8612621.7915021.372129e-08
0.8652681.7913631.378506e-08
0.8692921.7912251.384913e-08
0.8733361.7910871.391350e-08
0.8773981.7909511.397817e-08
0.8814791.7908151.404315e-08
0.8855791.790681.410842e-08
0.8896981.7905451.417399e-08
0.8938361.7904121.423988e-08
0.8979941.7902791.430606e-08
0.91.7902161.433800e-08
0.9021711.7901471.437260e-08
0.9063671.7900161.443949e-08
0.9105831.7898861.450669e-08
0.9148181.7897561.457420e-08
0.9190731.7896271.464203e-08
0.9233481.7894991.471017e-08
0.9276431.7893711.477863e-08
0.9319581.7892441.484741e-08
0.9362931.7891181.491651e-08
0.9406481.7889921.498593e-08
0.9450231.7888671.505567e-08
0.9494191.7887421.512573e-08
0.951.7887261.513500e-08
0.9538351.7886191.519605e-08
0.9582711.7884951.526668e-08
0.9627291.7883731.533764e-08
0.9672071.7882511.540893e-08
0.9717051.7881291.548055e-08
0.9762251.7880081.555250e-08
0.9807661.7878881.562479e-08
0.9853281.7877681.569742e-08
0.9899111.7876481.577038e-08
0.9945151.7875291.584368e-08
0.9991411.7874111.591732e-08
11.7873891.593100e-08
1.003791.7872931.599136e-08
1.008461.7871761.606575e-08
1.013151.7870591.614049e-08
1.017861.7869421.621558e-08
1.022591.7868261.629101e-08
1.027351.786711.636680e-08
1.032131.7865951.644293e-08
1.036931.786481.651943e-08
1.041751.7863651.659628e-08
1.04661.7862511.667348e-08
1.051471.7861371.675105e-08
1.056361.7860241.682897e-08
1.061.785941.688700e-08
1.061271.7859111.690726e-08
1.066211.7857981.698593e-08
1.071171.7856861.706496e-08
1.076151.7855741.714435e-08
1.081151.7854621.722412e-08
1.086181.785351.730426e-08
1.091241.7852391.738477e-08
1.096311.7851281.746565e-08
1.101411.7850171.754691e-08
1.106531.7849071.762855e-08
1.111681.7847971.771057e-08
1.116851.7846871.779297e-08
1.122051.7845771.787576e-08
1.127271.7844681.795892e-08
1.132511.7843581.804248e-08
1.137781.7842491.812642e-08
1.143071.784141.821076e-08
1.148391.7840311.829549e-08
1.153731.7839231.838061e-08
1.159091.7838141.846612e-08
1.164481.7837061.855204e-08
1.16991.7835971.863835e-08
1.175341.7834891.872507e-08
1.180811.7833811.881219e-08
1.18631.7832731.889971e-08
1.191821.7831661.898764e-08
1.197361.7830581.907598e-08
1.21.7830071.911800e-08
1.202931.782951.916472e-08
1.208531.7828421.925385e-08
1.214151.7827351.934340e-08
1.21981.7826271.943336e-08
1.225471.782521.952374e-08
1.231171.7824121.961454e-08
1.23691.7823051.970577e-08
1.242651.7821971.979742e-08
1.248431.782091.988949e-08
1.254241.7819821.998199e-08
1.260071.7818752.007493e-08
1.265931.7817672.016829e-08
1.271821.7816592.026209e-08
1.277741.7815512.035633e-08
1.283681.7814442.045101e-08
1.289651.7813362.054612e-08
1.295651.7812282.064168e-08
1.301671.781122.073768e-08
1.307731.7810112.083413e-08
1.313811.7809032.093103e-08
1.319921.7807942.102837e-08
1.326061.7806862.112617e-08
1.332231.7805772.122443e-08
1.338431.7804682.132314e-08
1.344651.7803592.142231e-08
1.350911.7802492.152195e-08
1.357191.780142.162204e-08
1.36351.780032.172260e-08
1.369851.779922.182363e-08
1.376221.779812.192513e-08
1.382621.7796992.202711e-08
1.389051.7795892.212955e-08
1.395511.7794782.223247e-08
1.41.7794012.230400e-08
1.4021.7793672.233588e-08
1.408521.7792552.243976e-08
1.415071.7791432.254412e-08
1.421661.7790312.264897e-08
1.428271.7789192.275431e-08
1.434911.7788062.286014e-08
1.441591.7786932.296646e-08
1.448291.7785792.307328e-08
1.455031.7784662.318059e-08
1.46181.7783512.328840e-08
1.468591.7782372.339671e-08
1.475431.7781222.350553e-08
1.482291.7780062.361485e-08
1.489181.7778912.372468e-08
1.496111.7777742.383503e-08
1.503071.7776582.394588e-08
1.510061.7775412.405725e-08
1.517081.7774232.416914e-08
1.524141.7773052.428155e-08
1.531231.7771872.439448e-08
1.538351.7770682.450794e-08
1.545511.7769482.462193e-08
1.55271.7768282.473644e-08
1.559921.7767082.485149e-08
1.567171.7765872.496707e-08
1.574461.7764652.508319e-08
1.581791.7763432.519985e-08
1.589141.776222.531706e-08
1.596541.7760972.543481e-08
1.61.7760392.549000e-08
1.603961.7759732.612223e-08
1.611421.7758482.731297e-08
1.618921.7757232.850925e-08
1.626451.7755972.971110e-08
1.634011.775473.091853e-08
1.641611.7753433.213158e-08
1.649251.7752153.335028e-08
1.656921.7750873.457464e-08
1.664631.7749583.580469e-08
1.672371.7748283.704047e-08
1.680151.7746973.828200e-08
1.687961.7745663.952930e-08
1.695811.7744334.078240e-08
1.70371.77434.204133e-08
1.711631.7741674.330612e-08
1.719591.7740324.457679e-08
1.727591.7738974.585337e-08
1.735621.7737614.713589e-08
1.743691.7736244.842437e-08
1.751811.7734864.971885e-08
1.759951.7733475.101934e-08
1.768141.7732085.232589e-08
1.776361.7730675.363851e-08
1.784631.7729265.495724e-08
1.792931.7727835.628210e-08
1.81.7726625.741100e-08
1.801271.772645.970242e-08
1.809641.7724967.486163e-08
1.818061.7723519.009135e-08
1.826521.7722051.053919e-07
1.835011.7720581.207636e-07
1.843551.7719091.362069e-07
1.852121.771761.517219e-07
1.860741.771611.673091e-07
1.869391.7714591.829689e-07
1.878091.7713061.987014e-07
1.886821.7711532.145072e-07
1.89561.7709982.303864e-07
1.904421.7708432.463395e-07
1.913281.7706862.623668e-07
1.922181.7705282.784687e-07
1.931121.7703692.946455e-07
1.94011.7702093.108975e-07
1.949121.7700473.272251e-07
1.958191.7698843.436286e-07
1.96731.769723.601085e-07
1.976451.7695553.766650e-07
1.985641.7693883.932985e-07
1.994881.7692214.100093e-07
21.7691274.192800e-07
2.004161.7690514.354041e-07
2.013481.7688814.715791e-07
2.022841.7687095.079222e-07
2.032251.7685365.444344e-07
2.04171.7683615.811165e-07
2.05121.7681856.179691e-07
2.060741.7680086.549932e-07
2.070331.7678296.921895e-07
2.079961.7676497.295588e-07
2.089631.7674677.671019e-07
2.099351.7672838.048196e-07
2.109121.7670988.427128e-07
2.118931.7669128.807822e-07
2.128781.7667249.190287e-07
2.138681.7665349.574531e-07
2.148631.7663439.960563e-07
2.158621.766151.034839e-06
2.168671.7659561.073802e-06
2.178751.765761.112946e-06
2.188891.7655621.152273e-06
2.199071.7653621.191782e-06
2.21.7653441.195400e-06
2.20931.7651611.383463e-06
2.219571.7649581.591350e-06
2.22991.7647531.800204e-06
2.240271.7645462.010029e-06
2.250691.7643372.220830e-06
2.261161.7641272.432612e-06
2.271671.7639152.645379e-06
2.282241.76372.859135e-06
2.292861.7634843.073886e-06
2.303521.7632663.289636e-06
2.314241.7630463.506389e-06
2.3251.7628243.724150e-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
—