Optical constants

Refractive index of D-ZLAF52LA-25 (CDGM)

D-ZLAF52LA-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
1.80882
Extinction coefficient k
2.34385e-08
Permittivity ε1
3.27182
Permittivity ε2
8.47918e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
40.97
Chromatic dispersion dn/dλ
-0.100702 µm⁻¹
Group index ng
1.86799
Group velocity dispersion
190.115 fs²/mm
Dispersion parameter D
-1037.18 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-ZLAF52LA-25 (CDGM): D-ZLAF52LA-25
mat = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZLAF52LA-25", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(mat.range_nm)  # (365, 2325) nm
eps = mat.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=1.85743559λ2λ2−0.00962363637+0.323469816λ2λ2−0.0398398385+1.2894946λ2λ2−98.4654718

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.85743559
C30.00962363637
C40.323469816
C50.0398398385
C61.2894946
C798.4654718

Comments and conditions

anneal rate:25°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 5.23e-06 1.56e-08 -3.55e-11 8.33e-07 7.37e-10 0.217
nd
1.808820
Vd
40.970313
glass code
809410
density
value: 4560
thermal expansion
value: 6.6e-06, temperature range: 243 343; value: 8.3e-06, temperature range: 293 573
dPgF
-0.0058
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.74e-06 K⁻¹ at 633 nm, dn/dT = 3.50e-06 K⁻¹ at 1310 nm, dn/dT = 3.39e-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-ZLAF52LA-25 (CDGM), D-ZLAF52LA-25: n and k versus wavelength
λ (µm)nk
0.3651.8605859.862750e-07
0.3666981.8597078.870508e-07
0.3684031.8588417.873652e-07
0.371.8580446.940500e-07
0.3701171.8579866.908585e-07
0.3718381.8571436.438726e-07
0.3735681.8563125.966682e-07
0.3753061.8554915.492442e-07
0.3770511.8546815.015996e-07
0.3788051.8538824.537334e-07
0.381.8533464.211200e-07
0.3805671.8530934.132590e-07
0.3823371.8523153.887177e-07
0.3841161.8515473.640623e-07
0.3859021.8507893.392922e-07
0.3876971.850043.144069e-07
0.38951.8493022.894059e-07
0.391.8490992.824800e-07
0.3913121.8485722.725930e-07
0.3931321.8478522.588784e-07
0.3949611.8471412.451000e-07
0.3967981.8464392.312575e-07
0.3986441.8457462.173506e-07
0.41.8452442.071300e-07
0.4004981.8450612.052839e-07
0.4023611.8443851.983755e-07
0.4042321.8437181.914350e-07
0.4061121.8430591.844622e-07
0.4080011.8424071.774570e-07
0.4098991.8417641.704192e-07
0.4118061.8411291.633487e-07
0.4137211.8405011.562453e-07
0.4156451.8398811.491088e-07
0.4175791.8392691.419391e-07
0.4195211.8386641.347361e-07
0.421.8385161.329600e-07
0.4214721.8380661.304921e-07
0.4234331.8374751.272063e-07
0.4254021.8368911.239052e-07
0.4273811.8363151.205887e-07
0.4293691.8357451.172568e-07
0.4313661.8351821.139094e-07
0.4333721.8346251.105464e-07
0.4353881.8340751.071678e-07
0.4374131.8335311.037735e-07
0.4394481.8329941.003633e-07
0.441.832859.943800e-08
0.4414921.8324639.753690e-08
0.4435451.8319389.492020e-08
0.4456091.8314199.229132e-08
0.4476811.8309068.965022e-08
0.4497641.8303998.699683e-08
0.4518561.8298988.433110e-08
0.4539571.8294028.165298e-08
0.4560691.8289127.896239e-08
0.458191.8284287.625929e-08
0.461.8280217.395300e-08
0.4603211.8279497.369240e-08
0.4624621.8274757.195564e-08
0.4646131.8270077.021080e-08
0.4667751.8265446.845785e-08
0.4689461.8260866.669675e-08
0.4711271.8256336.492745e-08
0.4733181.8251856.314992e-08
0.475521.8247426.136413e-08
0.4777321.8243045.957002e-08
0.4799541.8238715.776758e-08
0.481.8238625.773000e-08
0.4821861.8234435.579082e-08
0.4844291.8230195.380134e-08
0.4866821.82265.180261e-08
0.4889461.8221854.979457e-08
0.491221.8217754.777720e-08
0.4935051.8213694.575045e-08
0.49581.8209684.371426e-08
0.4981071.8205714.166861e-08
0.51.8202493.998900e-08
0.5004231.8201783.983616e-08
0.5027511.8197893.899588e-08
0.5050891.8194043.815170e-08
0.5074391.8190243.730359e-08
0.5097991.8186483.645153e-08
0.512171.8182753.559551e-08
0.5145531.8179063.473551e-08
0.5169461.8175423.387151e-08
0.519351.8171813.300349e-08
0.5217661.8168243.213144e-08
0.5241931.816473.125532e-08
0.5266311.816123.037513e-08
0.5290811.8157742.949085e-08
0.5315421.8154322.860246e-08
0.5340141.8150932.770993e-08
0.5364981.8147572.681325e-08
0.5389931.8144252.591240e-08
0.54151.8140962.500736e-08
0.5440191.813772.409811e-08
0.5465491.8134482.318463e-08
0.5490921.8131292.226690e-08
0.551.8130162.193900e-08
0.5516461.8128142.200463e-08
0.5542121.8125012.210696e-08
0.5567891.8121922.220976e-08
0.5593791.8118852.231304e-08
0.5619811.8115822.241680e-08
0.5645951.8112822.252105e-08
0.5672211.8109842.262578e-08
0.5698591.810692.273100e-08
0.572511.8103982.283670e-08
0.5751731.810112.294290e-08
0.5778481.8098242.304959e-08
0.5805361.8095412.315678e-08
0.5832361.8092612.326447e-08
0.5859491.8089832.337265e-08
0.5886751.8087082.348134e-08
0.5914131.8084362.359054e-08
0.5941641.8081662.370024e-08
0.5969271.8078992.381046e-08
0.5997041.8076352.392119e-08
0.61.8076072.393300e-08
0.6024931.8073732.377339e-08
0.6052961.8071132.359398e-08
0.6081111.8068562.341373e-08
0.610941.8066022.323265e-08
0.6137811.806352.305073e-08
0.6166361.80612.286796e-08
0.6195041.8058522.268434e-08
0.6223861.8056072.249986e-08
0.6252811.8053642.231453e-08
0.6281891.8051232.212833e-08
0.6311111.8048852.194127e-08
0.6340471.8046482.175334e-08
0.6369961.8044142.156454e-08
0.6399591.8041822.137485e-08
0.6429351.8039522.118429e-08
0.6459261.8037252.099283e-08
0.648931.8034992.080049e-08
0.651.8034192.073200e-08
0.6519491.8032752.057627e-08
0.6549811.8030532.033392e-08
0.6580281.8028332.009044e-08
0.6610881.8026161.984583e-08
0.6641631.80241.960008e-08
0.6672521.8021861.935319e-08
0.6703561.8019741.910515e-08
0.6734741.8017631.885595e-08
0.6766071.8015551.860560e-08
0.6797541.8013481.835408e-08
0.6829151.8011431.810139e-08
0.6860921.800941.784753e-08
0.6892831.8007391.759249e-08
0.6924891.8005391.733626e-08
0.695711.8003421.707884e-08
0.6989461.8001451.682022e-08
0.71.8000821.673600e-08
0.7021971.7999511.664831e-08
0.7054631.7997581.651795e-08
0.7087451.7995661.638700e-08
0.7120411.7993771.625543e-08
0.7153531.7991881.612325e-08
0.7186811.7990021.599045e-08
0.7220231.7988171.585704e-08
0.7253821.7986331.572301e-08
0.7287561.7984511.558835e-08
0.7321461.798271.545307e-08
0.7355511.7980911.531716e-08
0.7389721.7979131.518062e-08
0.7424091.7977371.504344e-08
0.7458631.7975621.490562e-08
0.7493321.7973881.476716e-08
0.7528171.7972161.462806e-08
0.7563191.7970451.448831e-08
0.7598371.7968751.434791e-08
0.7633711.7967071.420686e-08
0.7669221.796541.406515e-08
0.7704891.7963741.392279e-08
0.7740731.796211.377976e-08
0.7776731.7960461.363606e-08
0.781291.7958841.349170e-08
0.7849241.7957231.334666e-08
0.7885751.7955641.320096e-08
0.7922431.7954051.305457e-08
0.7959281.7952481.290750e-08
0.799631.7950921.275975e-08
0.81.7950761.274500e-08
0.803351.7949361.279840e-08
0.8070861.7947821.285796e-08
0.810841.794631.291780e-08
0.8146121.7944781.297791e-08
0.8184011.7943271.303831e-08
0.8222081.7941771.309899e-08
0.8260321.7940281.315995e-08
0.8298741.7938811.322119e-08
0.8337341.7937341.328272e-08
0.8376121.7935881.334454e-08
0.8415081.7934431.340664e-08
0.8454221.7932991.346903e-08
0.8493551.7931561.353171e-08
0.851.7931331.354200e-08
0.8533051.7930141.359462e-08
0.8572741.7928731.365781e-08
0.8612621.7927331.372129e-08
0.8652681.7925941.378506e-08
0.8692921.7924551.384913e-08
0.8733361.7923181.391350e-08
0.8773981.7921811.397817e-08
0.8814791.7920451.404315e-08
0.8855791.791911.410842e-08
0.8896981.7917751.417399e-08
0.8938361.7916421.423988e-08
0.8979941.7915091.430606e-08
0.91.7914451.433800e-08
0.9021711.7913771.437260e-08
0.9063671.7912461.443949e-08
0.9105831.7911151.450669e-08
0.9148181.7909851.457420e-08
0.9190731.7908561.464203e-08
0.9233481.7907271.471017e-08
0.9276431.79061.477863e-08
0.9319581.7904731.484741e-08
0.9362931.7903461.491651e-08
0.9406481.790221.498593e-08
0.9450231.7900951.505567e-08
0.9494191.789971.512573e-08
0.951.7899541.513500e-08
0.9538351.7898461.519605e-08
0.9582711.7897231.526668e-08
0.9627291.78961.533764e-08
0.9672071.7894781.540893e-08
0.9717051.7893561.548055e-08
0.9762251.7892351.555250e-08
0.9807661.7891151.562479e-08
0.9853281.7889951.569742e-08
0.9899111.7888751.577038e-08
0.9945151.7887561.584368e-08
0.9991411.7886381.591732e-08
11.7886161.593100e-08
1.003791.7885191.599136e-08
1.008461.7884021.606575e-08
1.013151.7882851.614049e-08
1.017861.7881681.621558e-08
1.022591.7880521.629101e-08
1.027351.7879361.636680e-08
1.032131.787821.644293e-08
1.036931.7877051.651943e-08
1.041751.7875911.659628e-08
1.04661.7874761.667348e-08
1.051471.7873621.675105e-08
1.056361.7872491.682897e-08
1.061.7871651.688700e-08
1.061271.7871361.690726e-08
1.066211.7870231.698593e-08
1.071171.786911.706496e-08
1.076151.7867981.714435e-08
1.081151.7866861.722412e-08
1.086181.7865741.730426e-08
1.091241.7864631.738477e-08
1.096311.7863521.746565e-08
1.101411.7862411.754691e-08
1.106531.7861311.762855e-08
1.111681.786021.771057e-08
1.116851.785911.779297e-08
1.122051.78581.787576e-08
1.127271.785691.795892e-08
1.132511.7855811.804248e-08
1.137781.7854721.812642e-08
1.143071.7853631.821076e-08
1.148391.7852541.829549e-08
1.153731.7851451.838061e-08
1.159091.7850361.846612e-08
1.164481.7849281.855204e-08
1.16991.7848191.863835e-08
1.175341.7847111.872507e-08
1.180811.7846031.881219e-08
1.18631.7844951.889971e-08
1.191821.7843871.898764e-08
1.197361.7842791.907598e-08
1.21.7842281.911800e-08
1.202931.7841711.949243e-08
1.208531.7840632.020680e-08
1.214151.7839552.092450e-08
1.21981.7838482.164553e-08
1.225471.783742.236991e-08
1.231171.7836322.309767e-08
1.23691.7835252.382881e-08
1.242651.7834172.456335e-08
1.248431.7833092.530131e-08
1.254241.7832012.604270e-08
1.260071.7830942.678754e-08
1.265931.7829862.753585e-08
1.271821.7828782.828763e-08
1.277741.782772.904291e-08
1.283681.7826622.980171e-08
1.289651.7825543.056403e-08
1.295651.7824463.132990e-08
1.301671.7823373.209933e-08
1.307731.7822293.287234e-08
1.313811.782123.364895e-08
1.319921.7820123.442917e-08
1.326061.7819033.521302e-08
1.332231.7817943.600051e-08
1.338431.7816853.679167e-08
1.344651.7815753.758650e-08
1.350911.7814663.838504e-08
1.357191.7813563.918728e-08
1.36351.7812463.999326e-08
1.369851.7811364.080299e-08
1.376221.7810264.161648e-08
1.382621.7809154.243376e-08
1.389051.7808044.325484e-08
1.395511.7806934.407974e-08
1.41.7806164.465300e-08
1.4021.7805814.446128e-08
1.408521.780474.383645e-08
1.415071.7803584.320872e-08
1.421661.7802454.257807e-08
1.428271.7801334.194448e-08
1.434911.780024.130795e-08
1.441591.7799064.066845e-08
1.448291.7797934.002599e-08
1.455031.7796793.938053e-08
1.46181.7795643.873207e-08
1.468591.779453.808060e-08
1.475431.7793343.742609e-08
1.482291.7792193.676855e-08
1.489181.7791033.610794e-08
1.496111.7789863.544426e-08
1.503071.778873.477749e-08
1.510061.7787523.410762e-08
1.517081.7786343.343464e-08
1.524141.7785163.275852e-08
1.531231.7783973.207927e-08
1.538351.7782783.139685e-08
1.545511.7781583.071125e-08
1.55271.7780383.002247e-08
1.559921.7779172.933049e-08
1.567171.7777962.863528e-08
1.574461.7776742.793684e-08
1.581791.7775522.723516e-08
1.589141.7774292.653021e-08
1.596541.7773052.582198e-08
1.61.7772472.549000e-08
1.603961.7771812.726384e-08
1.611421.7770563.060467e-08
1.618921.7769313.396105e-08
1.626451.7768043.733304e-08
1.634011.7766784.072071e-08
1.641611.776554.412413e-08
1.649251.7764224.754339e-08
1.656921.7762935.097856e-08
1.664631.7761645.442970e-08
1.672371.7760345.789689e-08
1.680151.7759036.138021e-08
1.687961.7757716.487973e-08
1.695811.7756396.839553e-08
1.70371.7755057.192769e-08
1.711631.7753717.547627e-08
1.719591.7752377.904136e-08
1.727591.7751018.262303e-08
1.735621.7749648.622136e-08
1.743691.7748278.983642e-08
1.751811.7746899.346830e-08
1.759951.774559.711708e-08
1.768141.774411.007828e-07
1.776361.7742691.044656e-07
1.784631.7741281.081655e-07
1.792931.7739851.118827e-07
1.81.7738631.150500e-07
1.801271.7738421.174951e-07
1.809641.7736971.336711e-07
1.818061.7735521.499223e-07
1.826521.7734051.662490e-07
1.835011.7732581.826518e-07
1.843551.7731091.991308e-07
1.852121.772962.156865e-07
1.860741.7728092.323191e-07
1.869391.7726582.490292e-07
1.878091.7725052.658169e-07
1.886821.7723512.826828e-07
1.89561.7721962.996271e-07
1.904421.772043.166502e-07
1.913281.7718833.337525e-07
1.922181.7717253.509343e-07
1.931121.7715653.681961e-07
1.94011.7714053.855381e-07
1.949121.7712434.029608e-07
1.958191.771084.204646e-07
1.96731.7709164.380498e-07
1.976451.770754.557167e-07
1.985641.7705834.734659e-07
1.994881.7704154.912976e-07
21.7703215.011900e-07
2.004161.7702455.195265e-07
2.013481.7700745.606649e-07
2.022841.7699026.019947e-07
2.032251.7697296.435166e-07
2.04171.7695546.852317e-07
2.05121.7693777.271409e-07
2.060741.76927.692450e-07
2.070331.769028.115449e-07
2.079961.768848.540416e-07
2.089631.7686578.967359e-07
2.099351.7684749.396288e-07
2.109121.7682889.827212e-07
2.118931.7681021.026014e-06
2.128781.7679131.069508e-06
2.138681.7677231.113205e-06
2.148631.7675321.157105e-06
2.158621.7673381.201209e-06
2.168671.7671441.245518e-06
2.178751.7669471.290033e-06
2.188891.7667491.334755e-06
2.199071.7665491.379686e-06
2.21.766531.383800e-06
2.20931.7663471.574861e-06
2.219571.7661441.786062e-06
2.22991.7659381.998246e-06
2.240271.7657312.211416e-06
2.250691.7655222.425578e-06
2.261161.7653112.640735e-06
2.271671.7650992.856894e-06
2.282241.7648843.074058e-06
2.292861.7646673.292232e-06
2.303521.7644493.511421e-06
2.314241.7642283.731630e-06
2.3251.7640063.952862e-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
—