Optical constants

Refractive index of D-ZLAF85L (CDGM)

D-ZLAF85L: 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
1.8537
Extinction coefficient k
4.80922e-08
Permittivity ε1
3.43619
Permittivity ε2
1.78296e-07
Absorption coefficient α
0.010285 cm⁻¹
Penetration depth δ = λ/(2πk)
1.94459e+09 nm
Abbe number Vd
40.579
Chromatic dispersion dn/dλ
-0.107361 µm⁻¹
Group index ng
1.91678
Group velocity dispersion
202.954 fs²/mm
Dispersion parameter D
-1107.22 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-ZLAF85L (CDGM): D-ZLAF85L
cdgm_d_zlaf85l = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZLAF85L", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zlaf85l.range_nm)  # (365, 2325) nm
eps = cdgm_d_zlaf85l.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=0.516695305λ2λ2−0.0340497474+1.81900011λ2λ2−0.00895670808+1.42320717λ2λ2−110.045928

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.516695305
C30.0340497474
C41.81900011
C50.00895670808
C61.42320717
C7110.045928

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.58e-06 1.63e-08 -3.37e-11 8.32e-07 7.24e-10 0.214
nd
1.853700
Vd
40.579411
glass code
854406
density
value: 5280
thermal expansion
value: 6.3e-06, temperature range: 243 343; value: 7.7e-06, temperature range: 293 573
dPgF
-0.0081
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.53e-06 K⁻¹ at 633 nm, dn/dT = 3.24e-06 K⁻¹ at 1310 nm, dn/dT = 3.14e-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-ZLAF85L (CDGM), D-ZLAF85L: n and k versus wavelength
λ (µm)nk
0.3651.9085261.008825e-06
0.3666981.9076079.019441e-07
0.3684031.90677.945660e-07
0.371.9058656.940500e-07
0.3701171.9058046.909399e-07
0.3718381.904926.451522e-07
0.3735681.9040485.991516e-07
0.3753061.9031865.529369e-07
0.3770511.9023365.065073e-07
0.3788051.9014974.598618e-07
0.381.9009334.280800e-07
0.3805671.9006684.205972e-07
0.3823371.8998493.972366e-07
0.3841161.8990413.737674e-07
0.3859021.8982433.501890e-07
0.3876971.8974553.265009e-07
0.38951.8966773.027027e-07
0.391.8964642.961100e-07
0.3913121.8959092.862217e-07
0.3931321.895152.725053e-07
0.3949611.89442.587251e-07
0.3967981.893662.448807e-07
0.3986441.8929282.309720e-07
0.41.8923992.207500e-07
0.4004981.8922062.190858e-07
0.4023611.8914922.128583e-07
0.4042321.8907872.066019e-07
0.4061121.8900912.003163e-07
0.4080011.8894021.940015e-07
0.4098991.8887221.876573e-07
0.4118061.8880511.812837e-07
0.4137211.8873871.748803e-07
0.4156451.8867311.684472e-07
0.4175791.8860831.619842e-07
0.4195211.8854421.554911e-07
0.421.8852861.538900e-07
0.4214721.8848091.517447e-07
0.4234331.8841831.488884e-07
0.4254021.8835651.460188e-07
0.4273811.8829541.431359e-07
0.4293691.882351.402395e-07
0.4313661.8817531.373297e-07
0.4333721.8811631.344063e-07
0.4353881.8805791.314694e-07
0.4374131.8800031.285187e-07
0.4394481.8794331.255544e-07
0.441.879281.247500e-07
0.4414921.8788691.231991e-07
0.4435451.8783121.210645e-07
0.4456091.8777611.189199e-07
0.4476811.8772171.167654e-07
0.4497641.8766781.146008e-07
0.4518561.8761461.124262e-07
0.4539571.8756191.102414e-07
0.4560691.8750991.080465e-07
0.458191.8745841.058414e-07
0.461.8741511.039600e-07
0.4603211.8740751.036550e-07
0.4624621.8735711.016222e-07
0.4646131.8730739.957999e-08
0.4667751.8725819.752827e-08
0.4689461.8720949.546701e-08
0.4711271.8716129.339616e-08
0.4733181.8711369.131568e-08
0.475521.8706658.922552e-08
0.4777321.8701998.712563e-08
0.4799541.8697388.501598e-08
0.481.8697288.497200e-08
0.4821861.8692828.314114e-08
0.4844291.8688318.126279e-08
0.4866821.8683857.937571e-08
0.4889461.8679437.747984e-08
0.491221.8675077.557516e-08
0.4935051.8670757.366162e-08
0.49581.8666477.173917e-08
0.4981071.8662246.980779e-08
0.51.8658826.822200e-08
0.5004231.8658066.805425e-08
0.5027511.8653926.713199e-08
0.5050891.8649826.620545e-08
0.5074391.8645776.527459e-08
0.5097991.8641766.433941e-08
0.512171.8637796.339987e-08
0.5145531.8633866.245597e-08
0.5169461.8629986.150768e-08
0.519351.8626136.055497e-08
0.5217661.8622325.959783e-08
0.5241931.8618565.863624e-08
0.5266311.8614835.767018e-08
0.5290811.8611145.669963e-08
0.5315421.8607495.572456e-08
0.5340141.8603875.474495e-08
0.5364981.860035.376079e-08
0.5389931.8596755.277205e-08
0.54151.8593255.177872e-08
0.5440191.8589785.078076e-08
0.5465491.8586344.977816e-08
0.5490921.8582944.877089e-08
0.551.8581744.841100e-08
0.5516461.8579584.839704e-08
0.5542121.8576254.837529e-08
0.5567891.8572954.835343e-08
0.5593791.8569684.833146e-08
0.5619811.8566454.830940e-08
0.5645951.8563254.828723e-08
0.5672211.8560084.826496e-08
0.5698591.8556944.824259e-08
0.572511.8553834.822011e-08
0.5751731.8550754.819753e-08
0.5778481.854774.817485e-08
0.5805361.8544694.815205e-08
0.5832361.854174.812916e-08
0.5859491.8538744.810615e-08
0.5886751.8535814.808304e-08
0.5914131.8532914.805982e-08
0.5941641.8530034.803649e-08
0.5969271.8527194.801306e-08
0.5997041.8524374.798951e-08
0.61.8524074.798700e-08
0.6024931.8521574.792602e-08
0.6052961.8518814.785747e-08
0.6081111.8516074.778860e-08
0.610941.8513354.771942e-08
0.6137811.8510674.764991e-08
0.6166361.85084.758008e-08
0.6195041.8505364.750993e-08
0.6223861.8502754.743944e-08
0.6252811.8500164.736863e-08
0.6281891.849764.729749e-08
0.6311111.8495064.722602e-08
0.6340471.8492544.715422e-08
0.6369961.8490044.708209e-08
0.6399591.8487574.700961e-08
0.6429351.8485124.693680e-08
0.6459261.848274.686366e-08
0.648931.8480294.679017e-08
0.651.8479444.676400e-08
0.6519491.8477914.646650e-08
0.6549811.8475554.600351e-08
0.6580281.8473214.553836e-08
0.6610881.8470894.507105e-08
0.6641631.8468594.460157e-08
0.6672521.8466314.412991e-08
0.6703561.8464054.365605e-08
0.6734741.8461824.317998e-08
0.6766071.845964.270170e-08
0.6797541.845744.222120e-08
0.6829151.8455224.173846e-08
0.6860921.8453064.125348e-08
0.6892831.8450924.076624e-08
0.6924891.8448794.027674e-08
0.695711.8446693.978496e-08
0.6989461.844463.929089e-08
0.71.8443933.913000e-08
0.7021971.8442533.911203e-08
0.7054631.8440483.908531e-08
0.7087451.8438453.905847e-08
0.7120411.8436433.903150e-08
0.7153531.8434433.900441e-08
0.7186811.8432453.897719e-08
0.7220231.8430483.894985e-08
0.7253821.8428533.892238e-08
0.7287561.8426593.889478e-08
0.7321461.8424683.886705e-08
0.7355511.8422773.883919e-08
0.7389721.8420893.881121e-08
0.7424091.8419013.878309e-08
0.7458631.8417163.875484e-08
0.7493321.8415313.872646e-08
0.7528171.8413493.869795e-08
0.7563191.8411673.866931e-08
0.7598371.8409883.864054e-08
0.7633711.8408093.861162e-08
0.7669221.8406323.858258e-08
0.7704891.8404563.855340e-08
0.7740731.8402823.852408e-08
0.7776731.8401093.849463e-08
0.781291.8399373.846504e-08
0.7849241.8397673.843532e-08
0.7885751.8395983.840545e-08
0.7922431.839433.837545e-08
0.7959281.8392643.834531e-08
0.799631.8390983.831502e-08
0.81.8390823.831200e-08
0.803351.8389343.665252e-08
0.8070861.8387713.480138e-08
0.810841.838613.294164e-08
0.8146121.8384493.107324e-08
0.8184011.838292.919616e-08
0.8222081.8381312.731034e-08
0.8260321.8379742.541575e-08
0.8298741.8378182.351235e-08
0.8337341.8376632.160010e-08
0.8376121.8375091.967895e-08
0.8415081.8373571.774887e-08
0.8454221.8372051.580981e-08
0.8493551.8370541.386173e-08
0.851.837031.354200e-08
0.8533051.8369041.359462e-08
0.8572741.8367561.365781e-08
0.8612621.8366081.372129e-08
0.8652681.8364611.378506e-08
0.8692921.8363151.384913e-08
0.8733361.836171.391350e-08
0.8773981.8360261.397817e-08
0.8814791.8358831.404315e-08
0.8855791.8357411.410842e-08
0.8896981.83561.417399e-08
0.8938361.835461.423988e-08
0.8979941.835321.430606e-08
0.91.8352531.433800e-08
0.9021711.8351811.437260e-08
0.9063671.8350431.443949e-08
0.9105831.8349061.450669e-08
0.9148181.834771.457420e-08
0.9190731.8346351.464203e-08
0.9233481.83451.471017e-08
0.9276431.8343661.477863e-08
0.9319581.8342331.484741e-08
0.9362931.83411.491651e-08
0.9406481.8339681.498593e-08
0.9450231.8338371.505567e-08
0.9494191.8337071.512573e-08
0.951.833691.513500e-08
0.9538351.8335771.519605e-08
0.9582711.8334481.526668e-08
0.9627291.833321.533764e-08
0.9672071.8331921.540893e-08
0.9717051.8330651.548055e-08
0.9762251.8329391.555250e-08
0.9807661.8328131.562479e-08
0.9853281.8326881.569742e-08
0.9899111.8325631.577038e-08
0.9945151.8324391.584368e-08
0.9991411.8323161.591732e-08
11.8322931.593100e-08
1.003791.8321931.599136e-08
1.008461.832071.606575e-08
1.013151.8319481.614049e-08
1.017861.8318271.621558e-08
1.022591.8317061.629101e-08
1.027351.8315861.636680e-08
1.032131.8314661.644293e-08
1.036931.8313461.651943e-08
1.041751.8312271.659628e-08
1.04661.8311091.667348e-08
1.051471.8309911.675105e-08
1.056361.8308731.682897e-08
1.061.8307861.688700e-08
1.061271.8307561.690726e-08
1.066211.8306391.698593e-08
1.071171.8305231.706496e-08
1.076151.8304071.714435e-08
1.081151.8302911.722412e-08
1.086181.8301751.730426e-08
1.091241.830061.738477e-08
1.096311.8299461.746565e-08
1.101411.8298311.754691e-08
1.106531.8297171.762855e-08
1.111681.8296041.771057e-08
1.116851.829491.779297e-08
1.122051.8293771.787576e-08
1.127271.8292641.795892e-08
1.132511.8291521.804248e-08
1.137781.8290391.812642e-08
1.143071.8289271.821076e-08
1.148391.8288151.829549e-08
1.153731.8287041.838061e-08
1.159091.8285921.846612e-08
1.164481.8284811.855204e-08
1.16991.828371.863835e-08
1.175341.8282591.872507e-08
1.180811.8281481.881219e-08
1.18631.8280381.889971e-08
1.191821.8279271.898764e-08
1.197361.8278171.907598e-08
1.21.8277651.911800e-08
1.202931.8277071.916472e-08
1.208531.8275971.925385e-08
1.214151.8274871.934340e-08
1.21981.8273771.943336e-08
1.225471.8272671.952374e-08
1.231171.8271571.961454e-08
1.23691.8270481.970577e-08
1.242651.8269381.979742e-08
1.248431.8268291.988949e-08
1.254241.8267191.998199e-08
1.260071.826612.007493e-08
1.265931.82652.016829e-08
1.271821.8263912.026209e-08
1.277741.8262812.035633e-08
1.283681.8261722.045101e-08
1.289651.8260622.054612e-08
1.295651.8259532.064168e-08
1.301671.8258432.073768e-08
1.307731.8257332.083413e-08
1.313811.8256242.093103e-08
1.319921.8255142.102837e-08
1.326061.8254042.112617e-08
1.332231.8252942.122443e-08
1.338431.8251842.132314e-08
1.344651.8250742.142231e-08
1.350911.8249632.152195e-08
1.357191.8248532.162204e-08
1.36351.8247422.172260e-08
1.369851.8246312.182363e-08
1.376221.824522.192513e-08
1.382621.8244092.202711e-08
1.389051.8242982.212955e-08
1.395511.8241862.223247e-08
1.41.8241092.230400e-08
1.4021.8240742.233588e-08
1.408521.8239622.243976e-08
1.415071.823852.254412e-08
1.421661.8237382.264897e-08
1.428271.8236252.275431e-08
1.434911.8235122.286014e-08
1.441591.8233982.296646e-08
1.448291.8232852.307328e-08
1.455031.8231712.318059e-08
1.46181.8230572.328840e-08
1.468591.8229422.339671e-08
1.475431.8228272.350553e-08
1.482291.8227122.361485e-08
1.489181.8225972.372468e-08
1.496111.8224812.383503e-08
1.503071.8223642.394588e-08
1.510061.8222482.405725e-08
1.517081.822132.416914e-08
1.524141.8220132.428155e-08
1.531231.8218952.439448e-08
1.538351.8217772.450794e-08
1.545511.8216582.462193e-08
1.55271.8215392.473644e-08
1.559921.8214192.485149e-08
1.567171.8212992.496707e-08
1.574461.8211782.508319e-08
1.581791.8210572.519985e-08
1.589141.8209352.531706e-08
1.596541.8208132.543481e-08
1.61.8207552.549000e-08
1.603961.820692.583752e-08
1.611421.8205672.649203e-08
1.618921.8204432.714959e-08
1.626451.8203182.781021e-08
1.634011.8201932.847390e-08
1.641611.8200672.914068e-08
1.649251.8199412.981055e-08
1.656921.8198143.048355e-08
1.664631.8196873.115967e-08
1.672371.8195593.183894e-08
1.680151.819433.252137e-08
1.687961.81933.320697e-08
1.695811.819173.389577e-08
1.70371.8190393.458776e-08
1.711631.8189073.528298e-08
1.719591.8187753.598143e-08
1.727591.8186423.668312e-08
1.735621.8185083.738808e-08
1.743691.8183743.809632e-08
1.751811.8182383.880786e-08
1.759951.8181023.952270e-08
1.768141.8179654.024087e-08
1.776361.8178274.096238e-08
1.784631.8176894.168724e-08
1.792931.8175494.241548e-08
1.81.817434.303600e-08
1.801271.8174094.449148e-08
1.809641.8172675.412039e-08
1.818061.8171256.379409e-08
1.826521.8169827.351278e-08
1.835011.8168388.327668e-08
1.843551.8166949.308600e-08
1.852121.8165481.029409e-07
1.860741.8164011.128417e-07
1.869391.8162531.227885e-07
1.878091.8161041.327816e-07
1.886821.8159551.428212e-07
1.89561.8158041.529075e-07
1.904421.8156521.630407e-07
1.913281.8154991.732210e-07
1.922181.8153451.834487e-07
1.931121.815191.937239e-07
1.94011.8150342.040470e-07
1.949121.8148772.144180e-07
1.958191.8147182.248373e-07
1.96731.8145592.353051e-07
1.976451.8143982.458215e-07
1.985641.8142362.563869e-07
1.994881.8140732.670014e-07
21.8139822.728900e-07
2.004161.8139082.854942e-07
2.013481.8137433.137720e-07
2.022841.8135763.421813e-07
2.032251.8134083.707227e-07
2.04171.8132383.993969e-07
2.05121.8130684.282045e-07
2.060741.8128964.571461e-07
2.070331.8127224.862223e-07
2.079961.8125475.154337e-07
2.089631.8123715.447810e-07
2.099351.8121945.742648e-07
2.109121.8120156.038858e-07
2.118931.8118346.336445e-07
2.128781.8116526.635417e-07
2.138681.8114696.935779e-07
2.148631.8112847.237538e-07
2.158621.8110987.540700e-07
2.168671.810917.845273e-07
2.178751.810728.151263e-07
2.188891.8105298.458676e-07
2.199071.8103368.767518e-07
2.21.8103198.795800e-07
2.20931.8101421.020294e-06
2.219571.8099461.175840e-06
2.22991.8097481.332110e-06
2.240271.8095491.489106e-06
2.250691.8093481.646833e-06
2.261161.8091451.805294e-06
2.271671.8089411.964491e-06
2.282241.8087342.124429e-06
2.292861.8085262.285111e-06
2.303521.8083162.446540e-06
2.314241.8081042.608720e-06
2.3251.807892.771655e-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
—