Optical constants

Refractive index of D-ZLAF61 (CDGM)

D-ZLAF61: 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
1.82241
Extinction coefficient k
2.81403e-08
Permittivity ε1
3.32117
Permittivity ε2
1.02566e-07
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
42.715
Chromatic dispersion dn/dλ
-0.0983633 µm⁻¹
Group index ng
1.8802
Group velocity dispersion
184.575 fs²/mm
Dispersion parameter D
-1006.95 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-ZLAF61 (CDGM): D-ZLAF61
cdgm_d_zlaf61 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZLAF61", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zlaf61.range_nm)  # (365, 2325) nm
eps = cdgm_d_zlaf61.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=0.42742586λ2λ2−0.0344432015+1.80371405λ2λ2−0.00878105468+1.2694916λ2λ2−99.795367

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.42742586
C30.0344432015
C41.80371405
C50.00878105468
C61.2694916
C799.795367

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.38e-06 1.46e-08 -1.77e-11 7.39e-07 6.32e-10 0.229
nd
1.822410
Vd
42.714541
glass code
822427
density
value: 4920
thermal expansion
value: 6.6e-06, temperature range: 243 343; value: 8.5e-06, temperature range: 293 573
dPgF
-0.0068
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.12e-06 K⁻¹ at 633 nm, dn/dT = 2.99e-06 K⁻¹ at 1310 nm, dn/dT = 2.90e-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-ZLAF61 (CDGM), D-ZLAF61: n and k versus wavelength
λ (µm)nk
0.3651.8723658.873200e-07
0.3666981.8715317.917782e-07
0.3684031.8707076.957921e-07
0.371.8699496.059400e-07
0.3701171.8698946.029751e-07
0.3718381.8690915.593256e-07
0.3735681.8682995.154730e-07
0.3753061.8675164.714165e-07
0.3770511.8667444.271550e-07
0.3788051.8659813.826877e-07
0.381.8654693.523900e-07
0.3805671.8652283.459380e-07
0.3823371.8644853.257955e-07
0.3841161.863753.055594e-07
0.3859021.8630252.852291e-07
0.3876971.8623092.648043e-07
0.38951.8616022.442845e-07
0.391.8614082.386000e-07
0.3913121.8609032.295961e-07
0.3931321.8602132.171064e-07
0.3949611.8595322.045587e-07
0.3967981.8588591.919525e-07
0.3986441.8581941.792878e-07
0.41.8577121.699800e-07
0.4004981.8575371.684547e-07
0.4023611.8568871.627470e-07
0.4042321.8562461.570127e-07
0.4061121.8556121.512517e-07
0.4080011.8549861.454639e-07
0.4098991.8543681.396492e-07
0.4118061.8537561.338074e-07
0.4137211.8531521.279385e-07
0.4156451.8525551.220423e-07
0.4175791.8519661.161187e-07
0.4195211.8513821.101675e-07
0.421.851241.087000e-07
0.4214721.8508061.069596e-07
0.4234331.8502371.046423e-07
0.4254021.8496741.023142e-07
0.4273811.8491179.997527e-08
0.4293691.8485679.762548e-08
0.4313661.8480249.526477e-08
0.4333721.8474869.289307e-08
0.4353881.8469559.051034e-08
0.4374131.8464298.811653e-08
0.4394481.845918.571159e-08
0.441.8457718.505900e-08
0.4414921.8453978.339594e-08
0.4435451.8448898.110688e-08
0.4456091.8443877.880717e-08
0.4476811.8438917.649676e-08
0.4497641.84347.417560e-08
0.4518561.8429157.184365e-08
0.4539571.8424356.950085e-08
0.4560691.841966.714716e-08
0.458191.8414916.478252e-08
0.461.8410966.276500e-08
0.4603211.8410276.255966e-08
0.4624621.8405686.119117e-08
0.4646131.8401145.981632e-08
0.4667751.8396655.843507e-08
0.4689461.8392215.704740e-08
0.4711271.8387815.565327e-08
0.4733181.8383475.425266e-08
0.475521.8379175.284553e-08
0.4777321.8374925.143186e-08
0.4799541.8370715.001161e-08
0.481.8370624.998200e-08
0.4821861.8366554.757380e-08
0.4844291.8362434.510312e-08
0.4866821.8358364.262095e-08
0.4889461.8354334.012724e-08
0.491221.8350343.762193e-08
0.4935051.834643.510496e-08
0.49581.834253.257629e-08
0.4981071.8338643.003586e-08
0.51.8335512.795000e-08
0.5004231.8334822.793637e-08
0.5027511.8331042.786142e-08
0.5050891.8327292.778612e-08
0.5074391.8323592.771047e-08
0.5097991.8319932.763447e-08
0.512171.831632.755812e-08
0.5145531.8312712.748141e-08
0.5169461.8309162.740434e-08
0.519351.8305652.732692e-08
0.5217661.8302172.724913e-08
0.5241931.8298732.717098e-08
0.5266311.8295322.709248e-08
0.5290811.8291952.701360e-08
0.5315421.8288612.693436e-08
0.5340141.828532.685475e-08
0.5364981.8282032.677477e-08
0.5389931.8278792.669441e-08
0.54151.8275592.661369e-08
0.5440191.8272422.653259e-08
0.5465491.8269272.645111e-08
0.5490921.8266162.636925e-08
0.551.8265062.634000e-08
0.5516461.8263082.641880e-08
0.5542121.8260032.654165e-08
0.5567891.8257022.666508e-08
0.5593791.8254032.678908e-08
0.5619811.8251072.691365e-08
0.5645951.8248142.703881e-08
0.5672211.8245232.716455e-08
0.5698591.8242362.729087e-08
0.572511.8239512.741778e-08
0.5751731.823672.754528e-08
0.5778481.8233912.767338e-08
0.5805361.8231142.780207e-08
0.5832361.8228412.793136e-08
0.5859491.8225692.806125e-08
0.5886751.8223012.819174e-08
0.5914131.8220352.832284e-08
0.5941641.8217722.845455e-08
0.5969271.8215112.858688e-08
0.5997041.8212522.871982e-08
0.61.8212252.873400e-08
0.6024931.8209962.833499e-08
0.6052961.8207432.788650e-08
0.6081111.8204922.743591e-08
0.610941.8202432.698324e-08
0.6137811.8199962.652845e-08
0.6166361.8197522.607156e-08
0.6195041.819512.561253e-08
0.6223861.819272.515137e-08
0.6252811.8190332.468807e-08
0.6281891.8187972.422261e-08
0.6311111.8185642.375499e-08
0.6340471.8183332.328519e-08
0.6369961.8181042.281321e-08
0.6399591.8178772.233903e-08
0.6429351.8176522.186264e-08
0.6459261.8174292.138404e-08
0.648931.8172082.090322e-08
0.651.817132.073200e-08
0.6519491.816992.057627e-08
0.6549811.8167732.033392e-08
0.6580281.8165582.009044e-08
0.6610881.8163441.984583e-08
0.6641631.8161331.960008e-08
0.6672521.8159241.935319e-08
0.6703561.8157161.910515e-08
0.6734741.8155111.885595e-08
0.6766071.8153071.860560e-08
0.6797541.8151041.835408e-08
0.6829151.8149041.810139e-08
0.6860921.8147051.784753e-08
0.6892831.8145081.759249e-08
0.6924891.8143131.733626e-08
0.695711.8141191.707884e-08
0.6989461.8139271.682022e-08
0.71.8138651.673600e-08
0.7021971.8137361.664831e-08
0.7054631.8135471.651795e-08
0.7087451.813361.638700e-08
0.7120411.8131741.625543e-08
0.7153531.812991.612325e-08
0.7186811.8128071.599045e-08
0.7220231.8126261.585704e-08
0.7253821.8124461.572301e-08
0.7287561.8122681.558835e-08
0.7321461.8120911.545307e-08
0.7355511.8119161.531716e-08
0.7389721.8117411.518062e-08
0.7424091.8115691.504344e-08
0.7458631.8113971.490562e-08
0.7493321.8112271.476716e-08
0.7528171.8110591.462806e-08
0.7563191.8108911.448831e-08
0.7598371.8107251.434791e-08
0.7633711.8105611.420686e-08
0.7669221.8103971.406515e-08
0.7704891.8102351.392279e-08
0.7740731.8100741.377976e-08
0.7776731.8099141.363606e-08
0.781291.8097551.349170e-08
0.7849241.8095971.334666e-08
0.7885751.8094411.320096e-08
0.7922431.8092861.305457e-08
0.7959281.8091321.290750e-08
0.799631.8089791.275975e-08
0.81.8089641.274500e-08
0.803351.8088271.279840e-08
0.8070861.8086761.285796e-08
0.810841.8085261.291780e-08
0.8146121.8083781.297791e-08
0.8184011.808231.303831e-08
0.8222081.8080831.309899e-08
0.8260321.8079381.315995e-08
0.8298741.8077931.322119e-08
0.8337341.8076491.328272e-08
0.8376121.8075071.334454e-08
0.8415081.8073651.340664e-08
0.8454221.8072241.346903e-08
0.8493551.8070841.353171e-08
0.851.8070611.354200e-08
0.8533051.8069451.359462e-08
0.8572741.8068071.365781e-08
0.8612621.8066691.372129e-08
0.8652681.8065331.378506e-08
0.8692921.8063981.384913e-08
0.8733361.8062631.391350e-08
0.8773981.8061291.397817e-08
0.8814791.8059961.404315e-08
0.8855791.8058641.410842e-08
0.8896981.8057321.417399e-08
0.8938361.8056011.423988e-08
0.8979941.8054711.430606e-08
0.91.8054091.433800e-08
0.9021711.8053421.437260e-08
0.9063671.8052141.443949e-08
0.9105831.8050861.450669e-08
0.9148181.8049591.457420e-08
0.9190731.8048321.464203e-08
0.9233481.8047071.471017e-08
0.9276431.8045821.477863e-08
0.9319581.8044571.484741e-08
0.9362931.8043341.491651e-08
0.9406481.804211.498593e-08
0.9450231.8040881.505567e-08
0.9494191.8039661.512573e-08
0.951.803951.513500e-08
0.9538351.8038451.519605e-08
0.9582711.8037241.526668e-08
0.9627291.8036041.533764e-08
0.9672071.8034851.540893e-08
0.9717051.8033661.548055e-08
0.9762251.8032471.555250e-08
0.9807661.8031291.562479e-08
0.9853281.8030121.569742e-08
0.9899111.8028951.577038e-08
0.9945151.8027791.584368e-08
0.9991411.8026631.591732e-08
11.8026411.593100e-08
1.003791.8025471.599136e-08
1.008461.8024321.606575e-08
1.013151.8023181.614049e-08
1.017861.8022041.621558e-08
1.022591.802091.629101e-08
1.027351.8019771.636680e-08
1.032131.8018641.644293e-08
1.036931.8017521.651943e-08
1.041751.801641.659628e-08
1.04661.8015281.667348e-08
1.051471.8014171.675105e-08
1.056361.8013061.682897e-08
1.061.8012241.688700e-08
1.061271.8011951.690726e-08
1.066211.8010851.698593e-08
1.071171.8009751.706496e-08
1.076151.8008661.714435e-08
1.081151.8007561.722412e-08
1.086181.8006471.730426e-08
1.091241.8005391.738477e-08
1.096311.800431.746565e-08
1.101411.8003221.754691e-08
1.106531.8002141.762855e-08
1.111681.8001071.771057e-08
1.116851.7999991.779297e-08
1.122051.7998921.787576e-08
1.127271.7997851.795892e-08
1.132511.7996781.804248e-08
1.137781.7995711.812642e-08
1.143071.7994651.821076e-08
1.148391.7993591.829549e-08
1.153731.7992531.838061e-08
1.159091.7991471.846612e-08
1.164481.7990411.855204e-08
1.16991.7989351.863835e-08
1.175341.798831.872507e-08
1.180811.7987241.881219e-08
1.18631.7986191.889971e-08
1.191821.7985141.898764e-08
1.197361.7984091.907598e-08
1.21.7983591.911800e-08
1.202931.7983031.916472e-08
1.208531.7981981.925385e-08
1.214151.7980931.934340e-08
1.21981.7979891.943336e-08
1.225471.7978841.952374e-08
1.231171.7977791.961454e-08
1.23691.7976741.970577e-08
1.242651.7975691.979742e-08
1.248431.7974641.988949e-08
1.254241.7973591.998199e-08
1.260071.7972542.007493e-08
1.265931.797152.016829e-08
1.271821.7970452.026209e-08
1.277741.796942.035633e-08
1.283681.7968342.045101e-08
1.289651.7967292.054612e-08
1.295651.7966242.064168e-08
1.301671.7965192.073768e-08
1.307731.7964132.083413e-08
1.313811.7963082.093103e-08
1.319921.7962022.102837e-08
1.326061.7960962.112617e-08
1.332231.795992.122443e-08
1.338431.7958842.132314e-08
1.344651.7957782.142231e-08
1.350911.7956712.152195e-08
1.357191.7955652.162204e-08
1.36351.7954582.172260e-08
1.369851.7953512.182363e-08
1.376221.7952442.192513e-08
1.382621.7951362.202711e-08
1.389051.7950282.212955e-08
1.395511.794922.223247e-08
1.41.7948452.230400e-08
1.4021.7948122.246359e-08
1.408521.7947042.298368e-08
1.415071.7945952.350620e-08
1.421661.7944862.403115e-08
1.428271.7943762.455853e-08
1.434911.7942672.508837e-08
1.441591.7941572.562068e-08
1.448291.7940462.615546e-08
1.455031.7939362.669273e-08
1.46181.7938252.723249e-08
1.468591.7937132.777477e-08
1.475431.7936022.831957e-08
1.482291.793492.886690e-08
1.489181.7933772.941678e-08
1.496111.7932642.996922e-08
1.503071.7931513.052423e-08
1.510061.7930373.108182e-08
1.517081.7929233.164200e-08
1.524141.7928083.220479e-08
1.531231.7926933.277019e-08
1.538351.7925783.333823e-08
1.545511.7924623.390891e-08
1.55271.7923453.448224e-08
1.559921.7922283.505824e-08
1.567171.792113.563691e-08
1.574461.7919923.621828e-08
1.581791.7918743.680236e-08
1.589141.7917553.738915e-08
1.596541.7916353.797867e-08
1.61.7915793.825500e-08
1.603961.7915153.977601e-08
1.611421.7913944.264068e-08
1.618921.7912724.551867e-08
1.626451.791154.841005e-08
1.634011.7910275.131487e-08
1.641611.7909045.423321e-08
1.649251.790785.716512e-08
1.656921.7906556.011067e-08
1.664631.790536.306992e-08
1.672371.7904046.604293e-08
1.680151.7902776.902977e-08
1.687961.790157.203051e-08
1.695811.7900227.504520e-08
1.70371.7898937.807392e-08
1.711631.7897638.111672e-08
1.719591.7896338.417367e-08
1.727591.7895028.724485e-08
1.735621.789379.033031e-08
1.743691.7892379.343012e-08
1.751811.7891039.654435e-08
1.759951.7889699.967306e-08
1.768141.7888341.028163e-07
1.776361.7886981.059742e-07
1.784631.7885611.091468e-07
1.792931.7884231.123341e-07
1.81.7883051.150500e-07
1.801271.7882841.170800e-07
1.809641.7881441.305095e-07
1.818061.7880041.440015e-07
1.826521.7878621.575563e-07
1.835011.787721.711741e-07
1.843551.7875761.848553e-07
1.852121.7874321.986001e-07
1.860741.7872872.124088e-07
1.869391.787142.262818e-07
1.878091.7869932.402193e-07
1.886821.7868442.542216e-07
1.89561.7866952.682890e-07
1.904421.7865442.824219e-07
1.913281.7863922.966205e-07
1.922181.7862393.108852e-07
1.931121.7860853.252162e-07
1.94011.785933.396139e-07
1.949121.7857743.540785e-07
1.958191.7856173.686104e-07
1.96731.7854583.832099e-07
1.976451.7852983.978773e-07
1.985641.7851374.126129e-07
1.994881.7849754.274171e-07
21.7848844.356300e-07
2.004161.7848114.498584e-07
2.013481.7846464.817801e-07
2.022841.784485.138504e-07
2.032251.7843135.460698e-07
2.04171.7841445.784390e-07
2.05121.7839746.109588e-07
2.060741.7838026.436299e-07
2.070331.7836296.764530e-07
2.079961.7834557.094287e-07
2.089631.7832797.425578e-07
2.099351.7831027.758410e-07
2.109121.7829238.092790e-07
2.118931.7827438.428725e-07
2.128781.7825618.766223e-07
2.138681.7823789.105290e-07
2.148631.7821949.445935e-07
2.158621.7820079.788164e-07
2.168671.7818191.013199e-06
2.178751.781631.047741e-06
2.188891.7814391.082443e-06
2.199071.7812461.117307e-06
2.21.7812281.120500e-06
2.20931.7810521.284444e-06
2.219571.7808551.465670e-06
2.22991.7806571.647738e-06
2.240271.7804581.830653e-06
2.250691.7802562.014419e-06
2.261161.7800532.199040e-06
2.271671.7798482.384519e-06
2.282241.7796412.570861e-06
2.292861.7794332.758070e-06
2.303521.7792222.946150e-06
2.314241.779013.135104e-06
2.3251.7787953.324938e-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
—