Optical constants

Refractive index of H-LAF51 (CDGM)

H-LAF51: 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
1.7
Extinction coefficient k
2.34385e-08
Permittivity ε1
2.88999
Permittivity ε2
7.96907e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
48.08
Chromatic dispersion dn/dλ
-0.074573 µm⁻¹
Group index ng
1.74382
Group velocity dispersion
137.297 fs²/mm
Dispersion parameter D
-749.028 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

# H-LAF51 (CDGM): H-LAF51
cdgm_h_laf51 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-LAF51", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_laf51.range_nm)  # (365, 2325) nm
eps = cdgm_h_laf51.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=1.16091555λ2λ2−102.913644+1.53441573λ2λ2−0.00759735684+0.293141701λ2λ2−0.0338071716

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.16091555
C3102.913644
C41.53441573
C50.00759735684
C60.293141701
C70.0338071716

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.02e-06 1.89e-08 -1.3e-10 4.46e-07 1.77e-10 0.281
nd
1.700000
Vd
48.079839
glass code
700481
density
value: 3820
thermal expansion
value: 8e-06, temperature range: 243 343; value: 9.4e-06, temperature range: 293 573
dPgF
-0.0024
resistance
climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -3.51e-07 K⁻¹ at 633 nm, dn/dT = -9.47e-07 K⁻¹ at 1310 nm, dn/dT = -9.87e-07 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
H-LAF51 (CDGM), H-LAF51: n and k versus wavelength
λ (µm)nk
0.3651.7373928.940750e-07
0.3666981.7367727.816085e-07
0.3684031.736166.686189e-07
0.371.7355975.628500e-07
0.3701171.7355565.596032e-07
0.3718381.734965.118031e-07
0.3735681.7343714.637805e-07
0.3753061.733794.155347e-07
0.3770511.7332153.670644e-07
0.3788051.7326483.183687e-07
0.381.7322682.851900e-07
0.3805671.7320882.786025e-07
0.3823371.7315352.580370e-07
0.3841161.7309892.373758e-07
0.3859021.7304492.166185e-07
0.3876971.7299161.957647e-07
0.38951.729391.748139e-07
0.391.7292461.690100e-07
0.3913121.728871.608485e-07
0.3931321.7283561.495273e-07
0.3949611.7278481.381535e-07
0.3967981.7273471.267268e-07
0.3986441.7268511.152469e-07
0.41.7264921.068100e-07
0.4004981.7263611.056625e-07
0.4023611.7258771.013686e-07
0.4042321.7253999.705465e-08
0.4061121.7249279.272066e-08
0.4080011.724468.836651e-08
0.4098991.7239988.399210e-08
0.4118061.7235427.959735e-08
0.4137211.7230917.518215e-08
0.4156451.7226457.074642e-08
0.4175791.7222056.629006e-08
0.4195211.721776.181297e-08
0.421.7216636.070900e-08
0.4214721.7213395.961265e-08
0.4234331.7209145.815293e-08
0.4254021.7204935.668642e-08
0.4273811.7200775.521309e-08
0.4293691.7196665.373291e-08
0.4313661.719265.224584e-08
0.4333721.7188585.075186e-08
0.4353881.7184614.925093e-08
0.4374131.7180684.774301e-08
0.4394481.7176794.622808e-08
0.441.7175754.581700e-08
0.4414921.7172954.541955e-08
0.4435451.7169154.487249e-08
0.4456091.7165394.432289e-08
0.4476811.7161684.377073e-08
0.4497641.71584.321600e-08
0.4518561.7154374.265869e-08
0.4539571.7150774.209879e-08
0.4560691.7147224.153628e-08
0.458191.714374.097116e-08
0.461.7140744.048900e-08
0.4603211.7140224.033145e-08
0.4624621.7136783.928145e-08
0.4646131.7133383.822657e-08
0.4667751.7130013.716678e-08
0.4689461.7126683.610206e-08
0.4711271.7123383.503239e-08
0.4733181.7120123.395774e-08
0.475521.7116893.287810e-08
0.4777321.711373.179343e-08
0.4799541.7110543.070372e-08
0.481.7110483.068100e-08
0.4821861.7107422.994472e-08
0.4844291.7104332.918935e-08
0.4866821.7101272.843045e-08
0.4889461.7098242.766803e-08
0.491221.7095252.690207e-08
0.4935051.7092282.613254e-08
0.49581.7089352.535943e-08
0.4981071.7086442.458272e-08
0.51.7084092.394500e-08
0.5004231.7083572.392801e-08
0.5027511.7080732.383463e-08
0.5050891.7077912.374081e-08
0.5074391.7075132.364655e-08
0.5097991.7072372.355186e-08
0.512171.7069642.345673e-08
0.5145531.7066942.336115e-08
0.5169461.7064262.326513e-08
0.519351.7061612.316866e-08
0.5217661.7058992.307174e-08
0.5241931.705642.297438e-08
0.5266311.7053832.287656e-08
0.5290811.7051292.277828e-08
0.5315421.7048772.267955e-08
0.5340141.7046282.258036e-08
0.5364981.7043812.248070e-08
0.5389931.7041372.238059e-08
0.54151.7038952.228000e-08
0.5440191.7036552.217895e-08
0.5465491.7034182.207743e-08
0.5490921.7031832.197544e-08
0.551.70312.193900e-08
0.5516461.702952.200463e-08
0.5542121.702722.210696e-08
0.5567891.7024922.220976e-08
0.5593791.7022662.231304e-08
0.5619811.7020422.241680e-08
0.5645951.701822.252105e-08
0.5672211.7016012.262578e-08
0.5698591.7013832.273100e-08
0.572511.7011682.283670e-08
0.5751731.7009542.294290e-08
0.5778481.7007432.304959e-08
0.5805361.7005342.315678e-08
0.5832361.7003262.326447e-08
0.5859491.7001212.337265e-08
0.5886751.6999172.348134e-08
0.5914131.6997162.359054e-08
0.5941641.6995162.370024e-08
0.5969271.6993182.381046e-08
0.5997041.6991222.392119e-08
0.61.6991012.393300e-08
0.6024931.6989272.377339e-08
0.6052961.6987352.359398e-08
0.6081111.6985442.341373e-08
0.610941.6983552.323265e-08
0.6137811.6981682.305073e-08
0.6166361.6979822.286796e-08
0.6195041.6977982.268434e-08
0.6223861.6976152.249986e-08
0.6252811.6974352.231453e-08
0.6281891.6972552.212833e-08
0.6311111.6970782.194127e-08
0.6340471.6969022.175334e-08
0.6369961.6967272.156454e-08
0.6399591.6965542.137485e-08
0.6429351.6963832.118429e-08
0.6459261.6962132.099283e-08
0.648931.6960442.080049e-08
0.651.6959852.073200e-08
0.6519491.6958772.057627e-08
0.6549811.6957122.033392e-08
0.6580281.6955482.009044e-08
0.6610881.6953851.984583e-08
0.6641631.6952231.960008e-08
0.6672521.6950631.935319e-08
0.6703561.6949041.910515e-08
0.6734741.6947471.885595e-08
0.6766071.6945911.860560e-08
0.6797541.6944361.835408e-08
0.6829151.6942821.810139e-08
0.6860921.694131.784753e-08
0.6892831.6939791.759249e-08
0.6924891.6938291.733626e-08
0.695711.6936811.707884e-08
0.6989461.6935331.682022e-08
0.71.6934851.673600e-08
0.7021971.6933871.664831e-08
0.7054631.6932421.651795e-08
0.7087451.6930981.638700e-08
0.7120411.6929551.625543e-08
0.7153531.6928131.612325e-08
0.7186811.6926721.599045e-08
0.7220231.6925331.585704e-08
0.7253821.6923941.572301e-08
0.7287561.6922571.558835e-08
0.7321461.6921211.545307e-08
0.7355511.6919851.531716e-08
0.7389721.6918511.518062e-08
0.7424091.6917171.504344e-08
0.7458631.6915851.490562e-08
0.7493321.6914541.476716e-08
0.7528171.6913231.462806e-08
0.7563191.6911941.448831e-08
0.7598371.6910651.434791e-08
0.7633711.6909371.420686e-08
0.7669221.6908111.406515e-08
0.7704891.6906851.392279e-08
0.7740731.690561.377976e-08
0.7776731.6904361.363606e-08
0.781291.6903121.349170e-08
0.7849241.690191.334666e-08
0.7885751.6900681.320096e-08
0.7922431.6899481.305457e-08
0.7959281.6898281.290750e-08
0.799631.6897081.275975e-08
0.81.6896971.274500e-08
0.803351.689591.279840e-08
0.8070861.6894721.285796e-08
0.810841.6893561.291780e-08
0.8146121.6892391.297791e-08
0.8184011.6891241.303831e-08
0.8222081.6890091.309899e-08
0.8260321.6888951.315995e-08
0.8298741.6887821.322119e-08
0.8337341.688671.328272e-08
0.8376121.6885581.334454e-08
0.8415081.6884461.340664e-08
0.8454221.6883361.346903e-08
0.8493551.6882261.353171e-08
0.851.6882081.354200e-08
0.8533051.6881171.359462e-08
0.8572741.6880081.365781e-08
0.8612621.68791.372129e-08
0.8652681.6877921.378506e-08
0.8692921.6876851.384913e-08
0.8733361.6875791.391350e-08
0.8773981.6874731.397817e-08
0.8814791.6873681.404315e-08
0.8855791.6872641.410842e-08
0.8896981.687161.417399e-08
0.8938361.6870561.423988e-08
0.8979941.6869531.430606e-08
0.91.6869041.433800e-08
0.9021711.686851.437260e-08
0.9063671.6867481.443949e-08
0.9105831.6866471.450669e-08
0.9148181.6865461.457420e-08
0.9190731.6864451.464203e-08
0.9233481.6863451.471017e-08
0.9276431.6862451.477863e-08
0.9319581.6861461.484741e-08
0.9362931.6860471.491651e-08
0.9406481.6859491.498593e-08
0.9450231.6858511.505567e-08
0.9494191.6857531.512573e-08
0.951.6857411.513500e-08
0.9538351.6856561.519605e-08
0.9582711.685561.526668e-08
0.9627291.6854631.533764e-08
0.9672071.6853671.540893e-08
0.9717051.6852711.548055e-08
0.9762251.6851761.555250e-08
0.9807661.6850811.562479e-08
0.9853281.6849861.569742e-08
0.9899111.6848921.577038e-08
0.9945151.6847981.584368e-08
0.9991411.6847041.591732e-08
11.6846871.593100e-08
1.003791.6846111.599136e-08
1.008461.6845181.606575e-08
1.013151.6844251.614049e-08
1.017861.6843321.621558e-08
1.022591.684241.629101e-08
1.027351.6841481.636680e-08
1.032131.6840561.644293e-08
1.036931.6839641.651943e-08
1.041751.6838731.659628e-08
1.04661.6837821.667348e-08
1.051471.6836911.675105e-08
1.056361.68361.682897e-08
1.061.6835331.688700e-08
1.061271.6835091.690726e-08
1.066211.6834191.698593e-08
1.071171.6833291.706496e-08
1.076151.6832391.714435e-08
1.081151.6831491.722412e-08
1.086181.6830591.730426e-08
1.091241.6829691.738477e-08
1.096311.682881.746565e-08
1.101411.682791.754691e-08
1.106531.6827011.762855e-08
1.111681.6826121.771057e-08
1.116851.6825231.779297e-08
1.122051.6824341.787576e-08
1.127271.6823451.795892e-08
1.132511.6822561.804248e-08
1.137781.6821681.812642e-08
1.143071.6820791.821076e-08
1.148391.681991.829549e-08
1.153731.6819021.838061e-08
1.159091.6818131.846612e-08
1.164481.6817241.855204e-08
1.16991.6816361.863835e-08
1.175341.6815471.872507e-08
1.180811.6814591.881219e-08
1.18631.681371.889971e-08
1.191821.6812821.898764e-08
1.197361.6811931.907598e-08
1.21.6811511.911800e-08
1.202931.6811041.965653e-08
1.208531.6810162.068398e-08
1.214151.6809272.171621e-08
1.21981.6808382.275325e-08
1.225471.6807492.379510e-08
1.231171.6806612.484181e-08
1.23691.6805722.589338e-08
1.242651.6804822.694984e-08
1.248431.6803932.801122e-08
1.254241.6803042.907753e-08
1.260071.6802143.014881e-08
1.265931.6801253.122506e-08
1.271821.6800353.230632e-08
1.277741.6799453.339262e-08
1.283681.6798553.448396e-08
1.289651.6797653.558038e-08
1.295651.6796753.668190e-08
1.301671.6795843.778855e-08
1.307731.6794943.890034e-08
1.313811.6794034.001730e-08
1.319921.6793124.113946e-08
1.326061.679224.226684e-08
1.332231.6791294.339946e-08
1.338431.6790374.453735e-08
1.344651.6789454.568053e-08
1.350911.6788534.682903e-08
1.357191.678764.798287e-08
1.36351.6786684.914208e-08
1.369851.6785755.030668e-08
1.376221.6784815.147670e-08
1.382621.6783885.265216e-08
1.389051.6782945.383308e-08
1.395511.67825.501950e-08
1.41.6781345.584400e-08
1.4021.6781055.630849e-08
1.408521.678015.782225e-08
1.415071.6779155.934305e-08
1.421661.6778196.087092e-08
1.428271.6777246.240590e-08
1.434911.6776276.394802e-08
1.441591.6775316.549732e-08
1.448291.6774346.705382e-08
1.455031.6773366.861756e-08
1.46181.6772387.018857e-08
1.468591.677147.176689e-08
1.475431.6770427.335255e-08
1.482291.6769437.494559e-08
1.489181.6768437.654603e-08
1.496111.6767437.815392e-08
1.503071.6766437.976929e-08
1.510061.6765428.139218e-08
1.517081.6764418.302261e-08
1.524141.6763398.466062e-08
1.531231.6762368.630626e-08
1.538351.6761348.795955e-08
1.545511.676038.962052e-08
1.55271.6759269.128923e-08
1.559921.6758229.296569e-08
1.567171.6757179.464996e-08
1.574461.6756119.634206e-08
1.581791.6755059.804202e-08
1.589141.6753999.974990e-08
1.596541.6752911.014657e-07
1.61.6752411.022700e-07
1.603961.6751841.062657e-07
1.611421.6750751.137912e-07
1.618921.6749661.213516e-07
1.626451.6748561.289472e-07
1.634011.6747461.365782e-07
1.641611.6746351.442447e-07
1.649251.6745231.519468e-07
1.656921.6744111.596847e-07
1.664631.6742981.674586e-07
1.672371.6741841.752687e-07
1.680151.674071.831151e-07
1.687961.6739551.909981e-07
1.695811.6738391.989176e-07
1.70371.6737222.068740e-07
1.711631.6736052.148675e-07
1.719591.6734872.228981e-07
1.727591.6733682.309660e-07
1.735621.6732482.390715e-07
1.743691.6731272.472147e-07
1.751811.6730062.553958e-07
1.759951.6728842.636149e-07
1.768141.6727612.718722e-07
1.776361.6726372.801680e-07
1.784631.6725122.885023e-07
1.792931.6723872.968754e-07
1.81.6722793.040100e-07
1.801271.672263.064091e-07
1.809641.6721333.222810e-07
1.818061.6720043.382266e-07
1.826521.6718753.542464e-07
1.835011.6717453.703408e-07
1.843551.6716143.865099e-07
1.852121.6714824.027543e-07
1.860741.6713484.190743e-07
1.869391.6712144.354702e-07
1.878091.6710794.519423e-07
1.886821.6709434.684910e-07
1.89561.6708064.851168e-07
1.904421.6706685.018198e-07
1.913281.6705285.186006e-07
1.922181.6703885.354594e-07
1.931121.6702465.523966e-07
1.94011.6701045.694126e-07
1.949121.669965.865077e-07
1.958191.6698156.036824e-07
1.96731.6696696.209369e-07
1.976451.6695226.382717e-07
1.985641.6693736.556871e-07
1.994881.6692246.731835e-07
21.669146.828900e-07
2.004161.6690737.106793e-07
2.013481.6689217.730252e-07
2.022841.6687678.356611e-07
2.032251.6686138.985884e-07
2.04171.6684579.618083e-07
2.05121.6682991.025322e-06
2.060741.6681411.089132e-06
2.070331.6679811.153238e-06
2.079961.667821.217642e-06
2.089631.6676571.282346e-06
2.099351.6674931.347351e-06
2.109121.6673271.412659e-06
2.118931.6671611.478270e-06
2.128781.6669921.544186e-06
2.138681.6668221.610409e-06
2.148631.6666511.676940e-06
2.158621.6664781.743780e-06
2.168671.6663041.810931e-06
2.178751.6661281.878395e-06
2.188891.6659511.946172e-06
2.199071.6657712.014265e-06
2.21.6657552.020500e-06
2.20931.6655912.191486e-06
2.219571.6654092.380496e-06
2.22991.6652252.570384e-06
2.240271.6650392.761156e-06
2.250691.6648522.952815e-06
2.261161.6646633.145366e-06
2.271671.6644723.338813e-06
2.282241.6642793.533159e-06
2.292861.6640853.728409e-06
2.303521.6638893.924567e-06
2.314241.6636914.121638e-06
2.3251.6634914.319625e-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
—