Optical constants

Refractive index of H-F51 (CDGM)

H-F51: 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
1.6398
Extinction coefficient k
2.34385e-08
Permittivity ε1
2.68893
Permittivity ε2
7.68687e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
34.465
Chromatic dispersion dn/dλ
-0.0938196 µm⁻¹
Group index ng
1.69492
Group velocity dispersion
184.361 fs²/mm
Dispersion parameter D
-1005.79 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-F51 (CDGM): H-F51
cdgm_h_f51 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-F51", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_f51.range_nm)  # (365, 2325) nm
eps = cdgm_h_f51.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=1.19880199λ2λ2−118.703083+0.146782039λ2λ2−0.0586919967+1.46655148λ2λ2−0.0111709187

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.19880199
C3118.703083
C40.146782039
C50.0586919967
C61.46655148
C70.0111709187

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.03e-06 1.5e-08 -4.64e-11 7.77e-07 8.08e-10 0.275
nd
1.639800
Vd
34.464570
glass code
640345
density
value: 2760
thermal expansion
value: 8.4e-06, temperature range: 243 343; value: 1.02e-05, temperature range: 293 573
dPgF
0.0054
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.85e-07 K⁻¹ at 633 nm, dn/dT = -7.76e-07 K⁻¹ at 1310 nm, dn/dT = -8.41e-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-F51 (CDGM), H-F51: n and k versus wavelength
λ (µm)nk
0.3651.6916856.156250e-06
0.3666981.6907215.115487e-06
0.3684031.6897744.069883e-06
0.371.6889073.091100e-06
0.3701171.6888443.068076e-06
0.3718381.6879292.729105e-06
0.3735681.687032.388558e-06
0.3753061.6861472.046427e-06
0.3770511.6852781.702705e-06
0.3788051.6844231.357383e-06
0.381.6838511.122100e-06
0.3805671.6835831.086661e-06
0.3823371.6827569.760257e-07
0.3841161.6819428.648754e-07
0.3859021.6811427.532081e-07
0.3876971.6803546.410214e-07
0.38951.6795795.283128e-07
0.391.6793674.970900e-07
0.3913121.6788154.644270e-07
0.3931321.6780644.191187e-07
0.3949611.6773243.735996e-07
0.3967981.6765963.278689e-07
0.3986441.6758782.819254e-07
0.41.675362.481600e-07
0.4004981.6751712.443458e-07
0.4023611.6744752.300725e-07
0.4042321.6737892.157328e-07
0.4061121.6731132.013263e-07
0.4080011.6724471.868529e-07
0.4098991.6717911.723122e-07
0.4118061.6711441.577038e-07
0.4137211.6705071.430275e-07
0.4156451.6698791.282829e-07
0.4175791.6692591.134697e-07
0.4195211.6686489.858764e-08
0.421.6684999.491800e-08
0.4214721.6680469.234999e-08
0.4234331.6674528.893085e-08
0.4254021.6668668.549580e-08
0.4273811.6662898.204477e-08
0.4293691.6657197.857769e-08
0.4313661.6651577.509448e-08
0.4333721.6646027.159508e-08
0.4353881.6640556.807939e-08
0.4374131.6635156.454735e-08
0.4394481.6629836.099889e-08
0.441.662846.003600e-08
0.4414921.6624575.913062e-08
0.4435451.6619385.788444e-08
0.4456091.6614275.663246e-08
0.4476811.6609215.537466e-08
0.4497641.6604235.411101e-08
0.4518561.659935.284148e-08
0.4539571.6594445.156604e-08
0.4560691.6589645.028468e-08
0.458191.6584914.899735e-08
0.461.6580934.789900e-08
0.4603211.6580234.774623e-08
0.4624621.6575614.672814e-08
0.4646131.6571054.570531e-08
0.4667751.6566544.467772e-08
0.4689461.6562094.364535e-08
0.4711271.655774.260818e-08
0.4733181.6553364.156618e-08
0.475521.6549074.051934e-08
0.4777321.6544843.946763e-08
0.4799541.6540653.841103e-08
0.481.6540573.838900e-08
0.4821861.6536523.768617e-08
0.4844291.6532433.696511e-08
0.4866821.652843.624069e-08
0.4889461.6524413.551291e-08
0.491221.6520473.478173e-08
0.4935051.6516583.404716e-08
0.49581.6512733.330917e-08
0.4981071.6508933.256775e-08
0.51.6505853.195900e-08
0.5004231.6505173.187415e-08
0.5027511.6501453.140770e-08
0.5050891.6497783.093907e-08
0.5074391.6494153.046826e-08
0.5097991.6490562.999526e-08
0.512171.6487022.952007e-08
0.5145531.6483512.904266e-08
0.5169461.6480042.856303e-08
0.519351.6476622.808117e-08
0.5217661.6473232.759707e-08
0.5241931.6469882.711072e-08
0.5266311.6466562.662211e-08
0.5290811.6463292.613122e-08
0.5315421.6460052.563805e-08
0.5340141.6456842.514258e-08
0.5364981.6453672.464482e-08
0.5389931.6450542.414473e-08
0.54151.6447442.364232e-08
0.5440191.6444372.313757e-08
0.5465491.6441342.263048e-08
0.5490921.6438342.212103e-08
0.551.6437272.193900e-08
0.5516461.6435372.200463e-08
0.5542121.6432432.210696e-08
0.5567891.6429532.220976e-08
0.5593791.6426652.231304e-08
0.5619811.6423812.241680e-08
0.5645951.6420992.252105e-08
0.5672211.6418212.262578e-08
0.5698591.6415462.273100e-08
0.572511.6412732.283670e-08
0.5751731.6410032.294290e-08
0.5778481.6407362.304959e-08
0.5805361.6404722.315678e-08
0.5832361.6402112.326447e-08
0.5859491.6399522.337265e-08
0.5886751.6396962.348134e-08
0.5914131.6394422.359054e-08
0.5941641.6391912.370024e-08
0.5969271.6389432.381046e-08
0.5997041.6386972.392119e-08
0.61.6386712.393300e-08
0.6024931.6384542.403248e-08
0.6052961.6382132.414429e-08
0.6081111.6379742.425663e-08
0.610941.6377382.436949e-08
0.6137811.6375042.448287e-08
0.6166361.6372732.459678e-08
0.6195041.6370442.471122e-08
0.6223861.6368172.482619e-08
0.6252811.6365922.494170e-08
0.6281891.6363692.505775e-08
0.6311111.6361492.517433e-08
0.6340471.6359312.529146e-08
0.6369961.6357142.540913e-08
0.6399591.63552.552735e-08
0.6429351.6352882.564612e-08
0.6459261.6350782.576544e-08
0.648931.634872.588531e-08
0.651.6347972.592800e-08
0.6519491.6346642.578763e-08
0.6549811.634462.556917e-08
0.6580281.6342572.534970e-08
0.6610881.6340572.512921e-08
0.6641631.6338592.490769e-08
0.6672521.6336622.468514e-08
0.6703561.6334672.446155e-08
0.6734741.6332742.423693e-08
0.6766071.6330832.401126e-08
0.6797541.6328932.378454e-08
0.6829151.6327052.355677e-08
0.6860921.6325192.332794e-08
0.6892831.6323352.309804e-08
0.6924891.6321522.286707e-08
0.695711.6319712.263503e-08
0.6989461.6317912.240191e-08
0.71.6317332.232600e-08
0.7021971.6316132.211548e-08
0.7054631.6314362.180255e-08
0.7087451.6312622.148816e-08
0.7120411.6310882.117232e-08
0.7153531.6309162.085500e-08
0.7186811.6307462.053621e-08
0.7220231.6305772.021593e-08
0.7253821.6304091.989417e-08
0.7287561.6302431.957090e-08
0.7321461.6300791.924614e-08
0.7355511.6299151.891986e-08
0.7389721.6297531.859207e-08
0.7424091.6295931.826275e-08
0.7458631.6294331.793190e-08
0.7493321.6292761.759951e-08
0.7528171.6291191.726557e-08
0.7563191.6289631.693009e-08
0.7598371.6288091.659304e-08
0.7633711.6286561.625442e-08
0.7669221.6285051.591423e-08
0.7704891.6283541.557245e-08
0.7740731.6282051.522909e-08
0.7776731.6280571.488413e-08
0.781291.627911.453756e-08
0.7849241.6277641.418939e-08
0.7885751.6276191.383959e-08
0.7922431.6274761.348817e-08
0.7959281.6273331.313511e-08
0.799631.6271921.278041e-08
0.81.6271781.274500e-08
0.803351.6270511.279840e-08
0.8070861.6269121.285796e-08
0.810841.6267741.291780e-08
0.8146121.6266371.297791e-08
0.8184011.62651.303831e-08
0.8222081.6263651.309899e-08
0.8260321.6262311.315995e-08
0.8298741.6260971.322119e-08
0.8337341.6259651.328272e-08
0.8376121.6258331.334454e-08
0.8415081.6257031.340664e-08
0.8454221.6255731.346903e-08
0.8493551.6254441.353171e-08
0.851.6254231.354200e-08
0.8533051.6253171.359462e-08
0.8572741.6251891.365781e-08
0.8612621.6250631.372129e-08
0.8652681.6249381.378506e-08
0.8692921.6248131.384913e-08
0.8733361.624691.391350e-08
0.8773981.6245671.397817e-08
0.8814791.6244451.404315e-08
0.8855791.6243231.410842e-08
0.8896981.6242021.417399e-08
0.8938361.6240831.423988e-08
0.8979941.6239631.430606e-08
0.91.6239061.433800e-08
0.9021711.6238451.437260e-08
0.9063671.6237271.443949e-08
0.9105831.623611.450669e-08
0.9148181.6234941.457420e-08
0.9190731.6233781.464203e-08
0.9233481.6232631.471017e-08
0.9276431.6231491.477863e-08
0.9319581.6230351.484741e-08
0.9362931.6229221.491651e-08
0.9406481.622811.498593e-08
0.9450231.6226981.505567e-08
0.9494191.6225861.512573e-08
0.951.6225721.513500e-08
0.9538351.6224761.519605e-08
0.9582711.6223651.526668e-08
0.9627291.6222561.533764e-08
0.9672071.6221471.540893e-08
0.9717051.6220381.548055e-08
0.9762251.621931.555250e-08
0.9807661.6218231.562479e-08
0.9853281.6217161.569742e-08
0.9899111.621611.577038e-08
0.9945151.6215041.584368e-08
0.9991411.6213981.591732e-08
11.6213791.593100e-08
1.003791.6212931.599136e-08
1.008461.6211881.606575e-08
1.013151.6210841.614049e-08
1.017861.6209811.621558e-08
1.022591.6208771.629101e-08
1.027351.6207741.636680e-08
1.032131.6206721.644293e-08
1.036931.620571.651943e-08
1.041751.6204681.659628e-08
1.04661.6203671.667348e-08
1.051471.6202661.675105e-08
1.056361.6201651.682897e-08
1.061.6200911.688700e-08
1.061271.6200651.690726e-08
1.066211.6199651.698593e-08
1.071171.6198651.706496e-08
1.076151.6197661.714435e-08
1.081151.6196671.722412e-08
1.086181.6195681.730426e-08
1.091241.619471.738477e-08
1.096311.6193721.746565e-08
1.101411.6192741.754691e-08
1.106531.6191761.762855e-08
1.111681.6190791.771057e-08
1.116851.6189821.779297e-08
1.122051.6188851.787576e-08
1.127271.6187881.795892e-08
1.132511.6186921.804248e-08
1.137781.6185961.812642e-08
1.143071.61851.821076e-08
1.148391.6184041.829549e-08
1.153731.6183081.838061e-08
1.159091.6182121.846612e-08
1.164481.6181171.855204e-08
1.16991.6180221.863835e-08
1.175341.6179271.872507e-08
1.180811.6178321.881219e-08
1.18631.6177371.889971e-08
1.191821.6176421.898764e-08
1.197361.6175471.907598e-08
1.21.6175031.911800e-08
1.202931.6174531.916472e-08
1.208531.6173581.925385e-08
1.214151.6172641.934340e-08
1.21981.617171.943336e-08
1.225471.6170751.952374e-08
1.231171.6169811.961454e-08
1.23691.6168871.970577e-08
1.242651.6167931.979742e-08
1.248431.6166991.988949e-08
1.254241.6166051.998199e-08
1.260071.616512.007493e-08
1.265931.6164162.016829e-08
1.271821.6163222.026209e-08
1.277741.6162282.035633e-08
1.283681.6161342.045101e-08
1.289651.616042.054612e-08
1.295651.6159452.064168e-08
1.301671.6158512.073768e-08
1.307731.6157572.083413e-08
1.313811.6156622.093103e-08
1.319921.6155672.102837e-08
1.326061.6154732.112617e-08
1.332231.6153782.122443e-08
1.338431.6152832.132314e-08
1.344651.6151882.142231e-08
1.350911.6150932.152195e-08
1.357191.6149982.162204e-08
1.36351.6149022.172260e-08
1.369851.6148072.182363e-08
1.376221.6147112.192513e-08
1.382621.6146152.202711e-08
1.389051.6145192.212955e-08
1.395511.6144222.223247e-08
1.41.6143562.230400e-08
1.4021.6143262.246359e-08
1.408521.6142292.298368e-08
1.415071.6141322.350620e-08
1.421661.6140352.403115e-08
1.428271.6139382.455853e-08
1.434911.613842.508837e-08
1.441591.6137422.562068e-08
1.448291.6136442.615546e-08
1.455031.6135452.669273e-08
1.46181.6134472.723249e-08
1.468591.6133482.777477e-08
1.475431.6132482.831957e-08
1.482291.6131492.886690e-08
1.489181.6130492.941678e-08
1.496111.6129482.996922e-08
1.503071.6128483.052423e-08
1.510061.6127463.108182e-08
1.517081.6126453.164200e-08
1.524141.6125433.220479e-08
1.531231.6124413.277019e-08
1.538351.6123393.333823e-08
1.545511.6122363.390891e-08
1.55271.6121323.448224e-08
1.559921.6120293.505824e-08
1.567171.6119243.563691e-08
1.574461.611823.621828e-08
1.581791.6117153.680236e-08
1.589141.6116093.738915e-08
1.596541.6115033.797867e-08
1.61.6114533.825500e-08
1.603961.6113964.468001e-08
1.611421.6112895.678084e-08
1.618921.6111826.893796e-08
1.626451.6110748.115162e-08
1.634011.6109659.342210e-08
1.641611.6108561.057496e-07
1.649251.6107471.181345e-07
1.656921.6106361.305770e-07
1.664631.6105261.430774e-07
1.672371.6104141.556359e-07
1.680151.6103021.682528e-07
1.687961.610191.809284e-07
1.695811.6100771.936630e-07
1.70371.6099632.064568e-07
1.711631.6098482.193101e-07
1.719591.6097332.322232e-07
1.727591.6096182.451964e-07
1.735621.6095012.582299e-07
1.743691.6093842.713240e-07
1.751811.6092662.844790e-07
1.759951.6091482.976952e-07
1.768141.6090293.109729e-07
1.776361.6089093.243124e-07
1.784631.6087883.377138e-07
1.792931.6086673.511777e-07
1.81.6085633.626500e-07
1.801271.6085453.655230e-07
1.809641.6084223.845295e-07
1.818061.6082984.036245e-07
1.826521.6081744.228083e-07
1.835011.6080484.420813e-07
1.843551.6079224.614439e-07
1.852121.6077954.808967e-07
1.860741.6076675.004399e-07
1.869391.6075395.200740e-07
1.878091.6074095.397994e-07
1.886821.6072795.596166e-07
1.89561.6071475.795259e-07
1.904421.6070155.995279e-07
1.913281.6068826.196229e-07
1.922181.6067486.398113e-07
1.931121.6066126.600937e-07
1.94011.6064766.804704e-07
1.949121.6063397.009419e-07
1.958191.6062017.215086e-07
1.96731.6060627.421710e-07
1.976451.6059227.629294e-07
1.985641.6057817.837845e-07
1.994881.6056398.047365e-07
21.6055598.163600e-07
2.004161.6054958.442455e-07
2.013481.6053519.068072e-07
2.022841.6052059.696599e-07
2.032251.6050591.032805e-06
2.04171.6049111.096244e-06
2.05121.6047621.159978e-06
2.060741.6046121.224008e-06
2.070331.6044611.288336e-06
2.079961.6043081.352963e-06
2.089631.6041551.417891e-06
2.099351.6041.483121e-06
2.109121.6038441.548655e-06
2.118931.6036861.614493e-06
2.128781.6035281.680637e-06
2.138681.6033681.747089e-06
2.148631.6032061.813850e-06
2.158621.6030441.880922e-06
2.168671.602881.948306e-06
2.178751.6027142.016003e-06
2.188891.6025482.084015e-06
2.199071.6023792.152343e-06
2.21.6023642.158600e-06
2.20931.602212.201493e-06
2.219571.6020392.248907e-06
2.22991.6018662.296542e-06
2.240271.6016922.344398e-06
2.250691.6015172.392477e-06
2.261161.601342.440780e-06
2.271671.6011612.489307e-06
2.282241.6009812.538060e-06
2.292861.60082.587040e-06
2.303521.6006172.636247e-06
2.314241.6004322.685684e-06
2.3251.6002452.735350e-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
—