Optical constants

Refractive index of H-LAF4 (CDGM)

H-LAF4: 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
1.7495
Extinction coefficient k
2.09233e-08
Permittivity ε1
3.06074
Permittivity ε2
7.32106e-08
Absorption coefficient α
0.00447465 cm⁻¹
Penetration depth δ = λ/(2πk)
4.46962e+09 nm
Abbe number Vd
34.989
Chromatic dispersion dn/dλ
-0.108361 µm⁻¹
Group index ng
1.81317
Group velocity dispersion
213.006 fs²/mm
Dispersion parameter D
-1162.06 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-LAF4 (CDGM): H-LAF4
cdgm_h_laf4 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-LAF4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_laf4.range_nm)  # (365, 2325) nm
eps = cdgm_h_laf4.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=0.210645313λ2λ2−0.0542759294+1.75547352λ2λ2−0.0112370777+1.28979005λ2λ2−119.852069

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.210645313
C30.0542759294
C41.75547352
C50.0112370777
C61.28979005
C7119.852069

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 6.53e-07 1.81e-08 -1.59e-10 9.02e-07 8.16e-10 0.246
nd
1.749500
Vd
34.989266
glass code
750350
density
value: 3920
thermal expansion
value: 8e-06, temperature range: 243 343; value: 9.5e-06, temperature range: 293 573
dPgF
0.0031
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.94e-06 K⁻¹ at 633 nm, dn/dT = 6.84e-07 K⁻¹ at 1310 nm, dn/dT = 5.90e-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-LAF4 (CDGM), H-LAF4: n and k versus wavelength
λ (µm)nk
0.3651.8086483.923550e-06
0.3666981.8075733.329292e-06
0.3684031.8065162.732269e-06
0.371.8055462.173400e-06
0.3701171.8054762.159357e-06
0.3718381.8044521.952609e-06
0.3735681.8034461.744899e-06
0.3753061.8024551.536224e-06
0.3770511.801481.326578e-06
0.3788051.800521.115956e-06
0.381.7998779.724500e-07
0.3805671.7995759.479926e-07
0.3823371.7986458.716393e-07
0.3841161.7977297.949308e-07
0.3859021.7968277.178655e-07
0.3876971.7959386.404418e-07
0.38951.7950635.626579e-07
0.391.7948245.411100e-07
0.3913121.7942015.141141e-07
0.3931321.7933524.766669e-07
0.3949611.7925154.390455e-07
0.3967981.791694.012492e-07
0.3986441.7908773.632770e-07
0.41.790293.353700e-07
0.4004981.7900763.314650e-07
0.4023611.7892873.168519e-07
0.4042321.7885083.021708e-07
0.4061121.7877412.874214e-07
0.4080011.7869842.726035e-07
0.4098991.7862382.577166e-07
0.4118061.7855032.427604e-07
0.4137211.7847772.277347e-07
0.4156451.7840622.126391e-07
0.4175791.7833561.974733e-07
0.4195211.782661.822370e-07
0.421.782491.784800e-07
0.4214721.7819731.739907e-07
0.4234331.7812961.680134e-07
0.4254021.7806271.620083e-07
0.4273811.7799681.559753e-07
0.4293691.7793171.499142e-07
0.4313661.7786751.438249e-07
0.4333721.7780411.377073e-07
0.4353881.7774151.315613e-07
0.4374131.7767981.253867e-07
0.4394481.7761881.191833e-07
0.441.7760251.175000e-07
0.4414921.7755861.156483e-07
0.4435451.7749921.130996e-07
0.4456091.7744061.105390e-07
0.4476811.7738271.079665e-07
0.4497641.7732551.053820e-07
0.4518561.7726911.027855e-07
0.4539571.7721331.001770e-07
0.4560691.7715839.755627e-08
0.458191.7710399.492338e-08
0.461.7705839.267700e-08
0.4603211.7705029.236530e-08
0.4624621.7699729.028800e-08
0.4646131.7694488.820104e-08
0.4667751.768938.610436e-08
0.4689461.7684198.399794e-08
0.4711271.7679148.188172e-08
0.4733181.7674157.975566e-08
0.475521.7669227.761970e-08
0.4777321.7664357.547382e-08
0.4799541.7659547.331795e-08
0.481.7659447.327300e-08
0.4821861.7654787.051437e-08
0.4844291.7650086.768417e-08
0.4866821.7645436.484081e-08
0.4889461.7640846.198422e-08
0.491221.7636315.911434e-08
0.4935051.7631825.623112e-08
0.49581.7627395.333449e-08
0.4981071.7623015.042438e-08
0.51.7619474.803500e-08
0.5004231.7618684.785130e-08
0.5027511.761444.684133e-08
0.5050891.7610174.582668e-08
0.5074391.7605984.480730e-08
0.5097991.7601854.378318e-08
0.512171.7597764.275430e-08
0.5145531.7593714.172063e-08
0.5169461.7589714.068215e-08
0.519351.7585763.963885e-08
0.5217661.7581853.859069e-08
0.5241931.7577993.753765e-08
0.5266311.7574163.647972e-08
0.5290811.7570383.541687e-08
0.5315421.7566643.434907e-08
0.5340141.7562943.327630e-08
0.5364981.7559293.219855e-08
0.5389931.7555673.111578e-08
0.54151.7552093.002798e-08
0.5440191.7548552.893512e-08
0.5465491.7545052.783717e-08
0.5490921.7541582.673412e-08
0.551.7540362.634000e-08
0.5516461.7538162.610292e-08
0.5542121.7534762.573328e-08
0.5567891.7531412.536192e-08
0.5593791.7528092.498883e-08
0.5619811.7524812.461401e-08
0.5645951.7521562.423744e-08
0.5672211.7518342.385912e-08
0.5698591.7515162.347904e-08
0.572511.7512012.309720e-08
0.5751731.750892.271358e-08
0.5778481.7505822.232817e-08
0.5805361.7502762.194097e-08
0.5832361.7499742.155197e-08
0.5859491.7496762.116116e-08
0.5886751.749382.076853e-08
0.5914131.7490872.037408e-08
0.5941641.7487971.997779e-08
0.5969271.748511.957966e-08
0.5997041.7482261.917968e-08
0.61.7481961.913700e-08
0.6024931.7479451.921653e-08
0.6052961.7476671.930593e-08
0.6081111.7473921.939574e-08
0.610941.7471191.948597e-08
0.6137811.7468491.957662e-08
0.6166361.7465811.966769e-08
0.6195041.7463171.975919e-08
0.6223861.7460551.985111e-08
0.6252811.7457951.994346e-08
0.6281891.7455382.003623e-08
0.6311111.7452842.012944e-08
0.6340471.7450322.022308e-08
0.6369961.7447822.031716e-08
0.6399591.7445352.041168e-08
0.6429351.744292.050663e-08
0.6459261.7440482.060203e-08
0.648931.7438082.069787e-08
0.651.7437232.073200e-08
0.6519491.743572.057627e-08
0.6549811.7433342.033392e-08
0.6580281.7431012.009044e-08
0.6610881.742871.984583e-08
0.6641631.7426411.960008e-08
0.6672521.7424141.935319e-08
0.6703561.742191.910515e-08
0.6734741.7419671.885595e-08
0.6766071.7417461.860560e-08
0.6797541.7415281.835408e-08
0.6829151.7413111.810139e-08
0.6860921.7410971.784753e-08
0.6892831.7408841.759249e-08
0.6924891.7406741.733626e-08
0.695711.7404651.707884e-08
0.6989461.7402581.682022e-08
0.71.7401911.673600e-08
0.7021971.7400531.664831e-08
0.7054631.739851.651795e-08
0.7087451.7396491.638700e-08
0.7120411.7394491.625543e-08
0.7153531.7392511.612325e-08
0.7186811.7390551.599045e-08
0.7220231.7388611.585704e-08
0.7253821.7386681.572301e-08
0.7287561.7384771.558835e-08
0.7321461.7382881.545307e-08
0.7355511.73811.531716e-08
0.7389721.7379141.518062e-08
0.7424091.7377291.504344e-08
0.7458631.7375461.490562e-08
0.7493321.7373651.476716e-08
0.7528171.7371851.462806e-08
0.7563191.7370071.448831e-08
0.7598371.736831.434791e-08
0.7633711.7366541.420686e-08
0.7669221.736481.406515e-08
0.7704891.7363081.392279e-08
0.7740731.7361371.377976e-08
0.7776731.7359671.363606e-08
0.781291.7357981.349170e-08
0.7849241.7356311.334666e-08
0.7885751.7354661.320096e-08
0.7922431.7353011.305457e-08
0.7959281.7351381.290750e-08
0.799631.7349761.275975e-08
0.81.734961.274500e-08
0.803351.7348161.279840e-08
0.8070861.7346561.285796e-08
0.810841.7344981.291780e-08
0.8146121.7343411.297791e-08
0.8184011.7341861.303831e-08
0.8222081.7340311.309899e-08
0.8260321.7338781.315995e-08
0.8298741.7337261.322119e-08
0.8337341.7335741.328272e-08
0.8376121.7334241.334454e-08
0.8415081.7332761.340664e-08
0.8454221.7331281.346903e-08
0.8493551.7329811.353171e-08
0.851.7329571.354200e-08
0.8533051.7328351.359462e-08
0.8572741.7326911.365781e-08
0.8612621.7325471.372129e-08
0.8652681.7324041.378506e-08
0.8692921.7322631.384913e-08
0.8733361.7321221.391350e-08
0.8773981.7319821.397817e-08
0.8814791.7318441.404315e-08
0.8855791.7317061.410842e-08
0.8896981.7315691.417399e-08
0.8938361.7314331.423988e-08
0.8979941.7312981.430606e-08
0.91.7312331.433800e-08
0.9021711.7311631.437260e-08
0.9063671.731031.443949e-08
0.9105831.7308971.450669e-08
0.9148181.7307661.457420e-08
0.9190731.7306351.464203e-08
0.9233481.7305051.471017e-08
0.9276431.7303751.477863e-08
0.9319581.7302471.484741e-08
0.9362931.7301191.491651e-08
0.9406481.7299921.498593e-08
0.9450231.7298661.505567e-08
0.9494191.729741.512573e-08
0.951.7297241.513500e-08
0.9538351.7296161.519605e-08
0.9582711.7294911.526668e-08
0.9627291.7293681.533764e-08
0.9672071.7292451.540893e-08
0.9717051.7291231.548055e-08
0.9762251.7290021.555250e-08
0.9807661.7288811.562479e-08
0.9853281.7287611.569742e-08
0.9899111.7286421.577038e-08
0.9945151.7285231.584368e-08
0.9991411.7284041.591732e-08
11.7283831.593100e-08
1.003791.7282871.599136e-08
1.008461.728171.606575e-08
1.013151.7280531.614049e-08
1.017861.7279371.621558e-08
1.022591.7278221.629101e-08
1.027351.7277071.636680e-08
1.032131.7275921.644293e-08
1.036931.7274781.651943e-08
1.041751.7273651.659628e-08
1.04661.7272521.667348e-08
1.051471.727141.675105e-08
1.056361.7270281.682897e-08
1.061.7269451.688700e-08
1.061271.7269161.690726e-08
1.066211.7268051.698593e-08
1.071171.7266941.706496e-08
1.076151.7265841.714435e-08
1.081151.7264741.722412e-08
1.086181.7263651.730426e-08
1.091241.7262561.738477e-08
1.096311.7261471.746565e-08
1.101411.7260391.754691e-08
1.106531.7259311.762855e-08
1.111681.7258231.771057e-08
1.116851.7257161.779297e-08
1.122051.7256091.787576e-08
1.127271.7255021.795892e-08
1.132511.7253961.804248e-08
1.137781.725291.812642e-08
1.143071.7251841.821076e-08
1.148391.7250791.829549e-08
1.153731.7249741.838061e-08
1.159091.7248691.846612e-08
1.164481.7247641.855204e-08
1.16991.7246591.863835e-08
1.175341.7245551.872507e-08
1.180811.7244511.881219e-08
1.18631.7243471.889971e-08
1.191821.7242441.898764e-08
1.197361.724141.907598e-08
1.21.7240911.911800e-08
1.202931.7240371.916472e-08
1.208531.7239341.925385e-08
1.214151.7238311.934340e-08
1.21981.7237281.943336e-08
1.225471.7236261.952374e-08
1.231171.7235231.961454e-08
1.23691.7234211.970577e-08
1.242651.7233181.979742e-08
1.248431.7232161.988949e-08
1.254241.7231141.998199e-08
1.260071.7230122.007493e-08
1.265931.722912.016829e-08
1.271821.7228082.026209e-08
1.277741.7227062.035633e-08
1.283681.7226052.045101e-08
1.289651.7225032.054612e-08
1.295651.7224012.064168e-08
1.301671.7222992.073768e-08
1.307731.7221972.083413e-08
1.313811.7220962.093103e-08
1.319921.7219942.102837e-08
1.326061.7218922.112617e-08
1.332231.721792.122443e-08
1.338431.7216882.132314e-08
1.344651.7215872.142231e-08
1.350911.7214852.152195e-08
1.357191.7213822.162204e-08
1.36351.721282.172260e-08
1.369851.7211782.182363e-08
1.376221.7210762.192513e-08
1.382621.7209732.202711e-08
1.389051.7208712.212955e-08
1.395511.7207682.223247e-08
1.41.7206972.230400e-08
1.4021.7206652.271939e-08
1.408521.7205622.407312e-08
1.415071.7204592.543314e-08
1.421661.7203562.679949e-08
1.428271.7202522.817220e-08
1.434911.7201482.955129e-08
1.441591.7200443.093680e-08
1.448291.719943.232875e-08
1.455031.7198363.372718e-08
1.46181.7197313.513211e-08
1.468591.7196273.654357e-08
1.475431.7195213.796160e-08
1.482291.7194163.938623e-08
1.489181.7193114.081748e-08
1.496111.7192054.225539e-08
1.503071.7190984.369999e-08
1.510061.7189924.515131e-08
1.517081.7188854.660938e-08
1.524141.7187784.807423e-08
1.531231.7186714.954589e-08
1.538351.7185635.102440e-08
1.545511.7184555.250978e-08
1.55271.7183465.400208e-08
1.559921.7182375.550131e-08
1.567171.7181285.700752e-08
1.574461.7180185.852074e-08
1.581791.7179086.004099e-08
1.589141.7177986.156832e-08
1.596541.7176876.310275e-08
1.61.7176356.382200e-08
1.603961.7175766.713394e-08
1.611421.7174647.337164e-08
1.618921.7173527.963834e-08
1.626451.7172398.593420e-08
1.634011.7171269.225934e-08
1.641611.7170129.861390e-08
1.649251.7168981.049980e-07
1.656921.7167831.114118e-07
1.664631.7166681.178555e-07
1.672371.7165521.243291e-07
1.680151.7164361.308328e-07
1.687961.7163191.373668e-07
1.695811.7162021.439312e-07
1.70371.7160841.505261e-07
1.711631.7159651.571517e-07
1.719591.7158461.638080e-07
1.727591.7157261.704954e-07
1.735621.7156061.772139e-07
1.743691.7154851.839636e-07
1.751811.7153631.907447e-07
1.759951.7152411.975573e-07
1.768141.7151172.044017e-07
1.776361.7149942.112778e-07
1.784631.7148692.181860e-07
1.792931.7147442.251263e-07
1.81.7146372.310400e-07
1.801271.7146182.325428e-07
1.809641.7144922.424849e-07
1.818061.7143642.524732e-07
1.826521.7142362.625080e-07
1.835011.7141072.725895e-07
1.843551.7139772.827179e-07
1.852121.7138472.928933e-07
1.860741.7137163.031161e-07
1.869391.7135833.133865e-07
1.878091.713453.237046e-07
1.886821.7133163.340707e-07
1.89561.7131823.444851e-07
1.904421.7130463.549478e-07
1.913281.712913.654593e-07
1.922181.7127723.760196e-07
1.931121.7126343.866291e-07
1.94011.7124953.972879e-07
1.949121.7123544.079962e-07
1.958191.7122134.187544e-07
1.96731.7120714.295626e-07
1.976451.7119284.404211e-07
1.985641.7117844.513301e-07
1.994881.7116384.622899e-07
21.7115584.683700e-07
2.004161.7114924.866031e-07
2.013481.7113455.275093e-07
2.022841.7111965.686059e-07
2.032251.7110476.098936e-07
2.04171.7108966.513733e-07
2.05121.7107456.930460e-07
2.060741.7105927.349125e-07
2.070331.7104387.769738e-07
2.079961.7102838.192306e-07
2.089631.7101268.616841e-07
2.099351.7099699.043350e-07
2.109121.709819.471843e-07
2.118931.709659.902329e-07
2.128781.7094891.033482e-06
2.138681.7093261.076932e-06
2.148631.7091621.120584e-06
2.158621.7089971.164439e-06
2.168671.7088311.208498e-06
2.178751.7086631.252762e-06
2.188891.7084941.297232e-06
2.199071.7083231.341909e-06
2.21.7083081.346000e-06
2.20931.7081511.437159e-06
2.219571.7079781.537927e-06
2.22991.7078031.639164e-06
2.240271.7076271.740872e-06
2.250691.707451.843052e-06
2.261161.707271.945708e-06
2.271671.707092.048842e-06
2.282241.7069072.152455e-06
2.292861.7067242.256550e-06
2.303521.7065382.361130e-06
2.314241.7063512.466196e-06
2.3251.7061632.571750e-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
—