Optical constants

Refractive index of H-LAF55 (CDGM)

H-LAF55: 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
1.762
Extinction coefficient k
2.34385e-08
Permittivity ε1
3.10463
Permittivity ε2
8.25971e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
40.105
Chromatic dispersion dn/dλ
-0.0967008 µm⁻¹
Group index ng
1.81882
Group velocity dispersion
185.121 fs²/mm
Dispersion parameter D
-1009.93 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-LAF55 (CDGM): H-LAF55
cdgm_h_laf55 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-LAF55", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_laf55.range_nm)  # (365, 2325) nm
eps = cdgm_h_laf55.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=1.73920103λ2λ2−0.00974400845+1.16162575λ2λ2−111.118099+0.279488106λ2λ2−0.0423325277

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.73920103
C30.00974400845
C41.16162575
C5111.118099
C60.279488106
C70.0423325277

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.76e-06 1.53e-08 -4.05e-11 7.53e-07 5.1e-10 0.241
nd
1.762000
Vd
40.105472
glass code
762401
density
value: 4300
thermal expansion
value: 8.2e-06, temperature range: 243 343; value: 9.5e-06, temperature range: 293 573
dPgF
-0.0027
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -3.34e-07 K⁻¹ at 633 nm, dn/dT = -1.34e-06 K⁻¹ at 1310 nm, dn/dT = -1.41e-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
H-LAF55 (CDGM), H-LAF55: n and k versus wavelength
λ (µm)nk
0.3651.8123761.214060e-06
0.3666981.8115111.060537e-06
0.3684031.8106589.063003e-07
0.371.8098747.619200e-07
0.3701171.8098177.576919e-07
0.3718381.8089876.954446e-07
0.3735681.808176.329078e-07
0.3753061.8073635.700801e-07
0.3770511.8065675.069601e-07
0.3788051.8057824.435466e-07
0.381.8052564.003400e-07
0.3805671.8050083.907899e-07
0.3823371.8042443.609753e-07
0.3841161.8034913.310222e-07
0.3859021.8027473.009296e-07
0.3876971.8020132.706972e-07
0.38951.8012892.403240e-07
0.391.8010912.319100e-07
0.3913121.8005752.211492e-07
0.3931321.7998692.062223e-07
0.3949611.7991731.912261e-07
0.3967981.7984861.761601e-07
0.3986441.7978081.610240e-07
0.41.7973171.499000e-07
0.4004981.7971391.482751e-07
0.4023611.7964781.421947e-07
0.4042321.7958261.360860e-07
0.4061121.7951811.299489e-07
0.4080011.7945451.237832e-07
0.4098991.7939171.175889e-07
0.4118061.7932971.113657e-07
0.4137211.7926841.051136e-07
0.4156451.792089.883242e-08
0.4175791.7914829.252202e-08
0.4195211.7908928.618226e-08
0.421.7907488.461900e-08
0.4214721.7903098.307151e-08
0.4234331.7897348.101112e-08
0.4254021.7891657.894115e-08
0.4273811.7886037.686155e-08
0.4293691.7880487.477228e-08
0.4313661.78757.267329e-08
0.4333721.7869587.056453e-08
0.4353881.7864236.844597e-08
0.4374131.7858946.631756e-08
0.4394481.7853726.417924e-08
0.441.7852316.359900e-08
0.4414921.7848556.215130e-08
0.4435451.7843456.015866e-08
0.4456091.7838415.815676e-08
0.4476811.7833425.614554e-08
0.4497641.782855.412497e-08
0.4518561.7823635.209500e-08
0.4539571.7818825.005558e-08
0.4560691.7814064.800668e-08
0.458191.7809364.594826e-08
0.461.7805414.419200e-08
0.4603211.7804714.409878e-08
0.4624621.7800124.347754e-08
0.4646131.7795584.285341e-08
0.4667751.7791094.222637e-08
0.4689461.7786654.159642e-08
0.4711271.7782264.096354e-08
0.4733181.7777924.032772e-08
0.475521.7773633.968893e-08
0.4777321.7769383.904718e-08
0.4799541.7765193.840244e-08
0.481.776513.838900e-08
0.4821861.7761043.768617e-08
0.4844291.7756943.696511e-08
0.4866821.7752883.624069e-08
0.4889461.7748873.551291e-08
0.491221.774493.478173e-08
0.4935051.7740973.404716e-08
0.49581.7737093.330917e-08
0.4981071.7733253.256775e-08
0.51.7730143.195900e-08
0.5004231.7729453.187415e-08
0.5027511.7725693.140770e-08
0.5050891.7721983.093907e-08
0.5074391.771833.046826e-08
0.5097991.7714672.999526e-08
0.512171.7711072.952007e-08
0.5145531.7707512.904266e-08
0.5169461.7703992.856303e-08
0.519351.770052.808117e-08
0.5217661.7697062.759707e-08
0.5241931.7693652.711072e-08
0.5266311.7690272.662211e-08
0.5290811.7686932.613122e-08
0.5315421.7683632.563805e-08
0.5340141.7680362.514258e-08
0.5364981.7677122.464482e-08
0.5389931.7673922.414473e-08
0.54151.7670752.364232e-08
0.5440191.7667622.313757e-08
0.5465491.7664512.263048e-08
0.5490921.7661442.212103e-08
0.551.7660362.193900e-08
0.5516461.765842.200463e-08
0.5542121.7655392.210696e-08
0.5567891.7652412.220976e-08
0.5593791.7649472.231304e-08
0.5619811.7646552.241680e-08
0.5645951.7643662.252105e-08
0.5672211.764082.262578e-08
0.5698591.7637972.273100e-08
0.572511.7635172.283670e-08
0.5751731.7632392.294290e-08
0.5778481.7629642.304959e-08
0.5805361.7626932.315678e-08
0.5832361.7624232.326447e-08
0.5859491.7621572.337265e-08
0.5886751.7618932.348134e-08
0.5914131.7616312.359054e-08
0.5941641.7613732.370024e-08
0.5969271.7611162.381046e-08
0.5997041.7608632.392119e-08
0.61.7608362.393300e-08
0.6024931.7606112.403248e-08
0.6052961.7603622.414429e-08
0.6081111.7601162.425663e-08
0.610941.7598722.436949e-08
0.6137811.759632.448287e-08
0.6166361.7593912.459678e-08
0.6195041.7591532.471122e-08
0.6223861.7589182.482619e-08
0.6252811.7586862.494170e-08
0.6281891.7584552.505775e-08
0.6311111.7582272.517433e-08
0.6340471.7580012.529146e-08
0.6369961.7577772.540913e-08
0.6399591.7575552.552735e-08
0.6429351.7573352.564612e-08
0.6459261.7571172.576544e-08
0.648931.7569012.588531e-08
0.651.7568252.592800e-08
0.6519491.7566872.578763e-08
0.6549811.7564762.556917e-08
0.6580281.7562662.534970e-08
0.6610881.7560582.512921e-08
0.6641631.7558522.490769e-08
0.6672521.7556472.468514e-08
0.6703561.7554452.446155e-08
0.6734741.7552442.423693e-08
0.6766071.7550452.401126e-08
0.6797541.7548482.378454e-08
0.6829151.7546532.355677e-08
0.6860921.754462.332794e-08
0.6892831.7542682.309804e-08
0.6924891.7540782.286707e-08
0.695711.7538892.263503e-08
0.6989461.7537022.240191e-08
0.71.7536422.232600e-08
0.7021971.7535172.239609e-08
0.7054631.7533332.250028e-08
0.7087451.7531512.260496e-08
0.7120411.7529712.271012e-08
0.7153531.7527922.281577e-08
0.7186811.7526152.292191e-08
0.7220231.7524392.302855e-08
0.7253821.7522642.313568e-08
0.7287561.7520912.324331e-08
0.7321461.751922.335144e-08
0.7355511.751752.346008e-08
0.7389721.7515812.356922e-08
0.7424091.7514142.367886e-08
0.7458631.7512482.378902e-08
0.7493321.7510832.389969e-08
0.7528171.750922.401087e-08
0.7563191.7507582.412257e-08
0.7598371.7505982.423479e-08
0.7633711.7504382.434754e-08
0.7669221.750282.446080e-08
0.7704891.7501242.457460e-08
0.7740731.7499682.468892e-08
0.7776731.7498142.480378e-08
0.781291.7496612.491916e-08
0.7849241.7495092.503509e-08
0.7885751.7493582.515156e-08
0.7922431.7492082.526856e-08
0.7959281.749062.538611e-08
0.799631.7489132.550421e-08
0.81.7488982.551600e-08
0.803351.7487672.471379e-08
0.8070861.7486212.381894e-08
0.810841.7484772.291993e-08
0.8146121.7483342.201673e-08
0.8184011.7481922.110933e-08
0.8222081.7480522.019772e-08
0.8260321.7479121.928186e-08
0.8298741.7477731.836174e-08
0.8337341.7476351.743734e-08
0.8376121.7474981.650865e-08
0.8415081.7473621.557563e-08
0.8454221.7472271.463827e-08
0.8493551.7470931.369656e-08
0.851.7470711.354200e-08
0.8533051.746961.359462e-08
0.8572741.7468281.365781e-08
0.8612621.7466961.372129e-08
0.8652681.7465661.378506e-08
0.8692921.7464371.384913e-08
0.8733361.7463081.391350e-08
0.8773981.746181.397817e-08
0.8814791.7460531.404315e-08
0.8855791.7459271.410842e-08
0.8896981.7458011.417399e-08
0.8938361.7456771.423988e-08
0.8979941.7455531.430606e-08
0.91.7454941.433800e-08
0.9021711.745431.437260e-08
0.9063671.7453081.443949e-08
0.9105831.7451861.450669e-08
0.9148181.7450651.457420e-08
0.9190731.7449451.464203e-08
0.9233481.7448261.471017e-08
0.9276431.7447071.477863e-08
0.9319581.7445891.484741e-08
0.9362931.7444721.491651e-08
0.9406481.7443551.498593e-08
0.9450231.7442391.505567e-08
0.9494191.7441241.512573e-08
0.951.7441091.513500e-08
0.9538351.7440091.519605e-08
0.9582711.7438951.526668e-08
0.9627291.7437811.533764e-08
0.9672071.7436681.540893e-08
0.9717051.7435561.548055e-08
0.9762251.7434441.555250e-08
0.9807661.7433331.562479e-08
0.9853281.7432221.569742e-08
0.9899111.7431121.577038e-08
0.9945151.7430031.584368e-08
0.9991411.7428941.591732e-08
11.7428741.593100e-08
1.003791.7427851.599136e-08
1.008461.7426771.606575e-08
1.013151.742571.614049e-08
1.017861.7424621.621558e-08
1.022591.7423561.629101e-08
1.027351.742251.636680e-08
1.032131.7421441.644293e-08
1.036931.7420391.651943e-08
1.041751.7419341.659628e-08
1.04661.7418291.667348e-08
1.051471.7417251.675105e-08
1.056361.7416221.682897e-08
1.061.7415451.688700e-08
1.061271.7415191.690726e-08
1.066211.7414161.698593e-08
1.071171.7413131.706496e-08
1.076151.7412111.714435e-08
1.081151.7411091.722412e-08
1.086181.7410081.730426e-08
1.091241.7409071.738477e-08
1.096311.7408061.746565e-08
1.101411.7407061.754691e-08
1.106531.7406051.762855e-08
1.111681.7405061.771057e-08
1.116851.7404061.779297e-08
1.122051.7403071.787576e-08
1.127271.7402081.795892e-08
1.132511.7401091.804248e-08
1.137781.740011.812642e-08
1.143071.7399121.821076e-08
1.148391.7398141.829549e-08
1.153731.7397161.838061e-08
1.159091.7396181.846612e-08
1.164481.7395211.855204e-08
1.16991.7394231.863835e-08
1.175341.7393261.872507e-08
1.180811.7392291.881219e-08
1.18631.7391331.889971e-08
1.191821.7390361.898764e-08
1.197361.7389391.907598e-08
1.21.7388941.911800e-08
1.202931.7388431.949243e-08
1.208531.7387472.020680e-08
1.214151.7386512.092450e-08
1.21981.7385552.164553e-08
1.225471.7384592.236991e-08
1.231171.7383632.309767e-08
1.23691.7382672.382881e-08
1.242651.7381722.456335e-08
1.248431.7380762.530131e-08
1.254241.7379812.604270e-08
1.260071.7378852.678754e-08
1.265931.737792.753585e-08
1.271821.7376942.828763e-08
1.277741.7375992.904291e-08
1.283681.7375032.980171e-08
1.289651.7374083.056403e-08
1.295651.7373133.132990e-08
1.301671.7372173.209933e-08
1.307731.7371223.287234e-08
1.313811.7370263.364895e-08
1.319921.7369313.442917e-08
1.326061.7368353.521302e-08
1.332231.7367393.600051e-08
1.338431.7366443.679167e-08
1.344651.7365483.758650e-08
1.350911.7364523.838504e-08
1.357191.7363563.918728e-08
1.36351.736263.999326e-08
1.369851.7361644.080299e-08
1.376221.7360674.161648e-08
1.382621.7359714.243376e-08
1.389051.7358744.325484e-08
1.395511.7357784.407974e-08
1.41.735714.465300e-08
1.4021.7356814.497287e-08
1.408521.7355834.601531e-08
1.415071.7354864.706260e-08
1.421661.7353894.811476e-08
1.428271.7352914.917182e-08
1.434911.7351935.023379e-08
1.441591.7350955.130070e-08
1.448291.7349975.237258e-08
1.455031.7348985.344944e-08
1.46181.7347995.453130e-08
1.468591.73475.561821e-08
1.475431.7346015.671016e-08
1.482291.7345015.780720e-08
1.489181.7344015.890934e-08
1.496111.7343016.001660e-08
1.503071.7342016.112902e-08
1.510061.73416.224661e-08
1.517081.7339996.336939e-08
1.524141.7338976.449740e-08
1.531231.7337956.563066e-08
1.538351.7336936.676919e-08
1.545511.7335916.791301e-08
1.55271.7334886.906215e-08
1.559921.7333857.021664e-08
1.567171.7332817.137650e-08
1.574461.7331777.254176e-08
1.581791.7330727.371243e-08
1.589141.7329687.488855e-08
1.596541.7328627.607014e-08
1.61.7328137.662400e-08
1.603961.7327568.054851e-08
1.611421.732658.793990e-08
1.618921.7325449.536568e-08
1.626451.7324361.028260e-07
1.634011.7323291.103210e-07
1.641611.7322211.178509e-07
1.649251.7321121.254158e-07
1.656921.7320031.330159e-07
1.664631.7318931.406513e-07
1.672371.7317831.483223e-07
1.680151.7316721.560289e-07
1.687961.7315611.637714e-07
1.695811.7314491.715499e-07
1.70371.7313371.793645e-07
1.711631.7312231.872155e-07
1.719591.731111.951031e-07
1.727591.7309962.030273e-07
1.735621.7308812.109884e-07
1.743691.7307652.189865e-07
1.751811.7306492.270218e-07
1.759951.7305322.350945e-07
1.768141.7304152.432048e-07
1.776361.7302962.513527e-07
1.784631.7301772.595386e-07
1.792931.7300582.677625e-07
1.81.7299562.747700e-07
1.801271.7299382.769344e-07
1.809641.7298172.912533e-07
1.818061.7296953.056388e-07
1.826521.7295723.200912e-07
1.835011.7294493.346109e-07
1.843551.7293253.491981e-07
1.852121.72923.638531e-07
1.860741.7290743.785763e-07
1.869391.7289483.933680e-07
1.878091.728824.082285e-07
1.886821.7286924.231581e-07
1.89561.7285634.381571e-07
1.904421.7284334.532259e-07
1.913281.7283024.683648e-07
1.922181.7281714.835741e-07
1.931121.7280384.988542e-07
1.94011.7279055.142053e-07
1.949121.727775.296278e-07
1.958191.7276355.451221e-07
1.96731.7274985.606884e-07
1.976451.7273615.763272e-07
1.985641.7272225.920387e-07
1.994881.7270836.078232e-07
21.7270066.165800e-07
2.004161.7269436.356813e-07
2.013481.7268016.785354e-07
2.022841.7266597.215888e-07
2.032251.7265157.648425e-07
2.04171.726378.082974e-07
2.05121.7262258.519544e-07
2.060741.7260788.958144e-07
2.070331.725939.398785e-07
2.079961.7257819.841475e-07
2.089631.725631.028622e-06
2.099351.7254791.073304e-06
2.109121.7253261.118194e-06
2.118931.7251721.163292e-06
2.128781.7250171.208601e-06
2.138681.7248611.254119e-06
2.148631.7247031.299850e-06
2.158621.7245441.345794e-06
2.168671.7243841.391951e-06
2.178751.7242221.438322e-06
2.188891.7240591.484910e-06
2.199071.7238951.531714e-06
2.21.723881.536000e-06
2.20931.7237291.646203e-06
2.219571.7235621.768021e-06
2.22991.7233941.890407e-06
2.240271.7232242.013361e-06
2.250691.7230532.136888e-06
2.261161.722882.260989e-06
2.271671.7227062.385668e-06
2.282241.722532.510926e-06
2.292861.7223532.636767e-06
2.303521.7221742.763193e-06
2.314241.7219942.890207e-06
2.3251.7218123.017812e-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
—