Optical constants

Refractive index of H-QF50 (CDGM)

H-QF50: 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
1.58144
Extinction coefficient k
2.81403e-08
Permittivity ε1
2.50094
Permittivity ε2
8.90042e-08
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
40.889
Chromatic dispersion dn/dλ
-0.0723375 µm⁻¹
Group index ng
1.62394
Group velocity dispersion
137.472 fs²/mm
Dispersion parameter D
-749.983 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-QF50 (CDGM): H-QF50
cdgm_h_qf50 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-QF50", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_qf50.range_nm)  # (365, 2325) nm
eps = cdgm_h_qf50.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=1.29450546λ2λ2−0.00894503808+0.150752291λ2λ2−0.0483713581+1.08698065λ2λ2−113.959763

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.29450546
C30.00894503808
C40.150752291
C50.0483713581
C61.08698065
C7113.959763

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.05e-07 2.23e-09 5.39e-11 5.36e-07 1.83e-09 0.288
nd
1.581440
Vd
40.888972
glass code
581409
density
value: 2600
thermal expansion
value: 7.7e-06, temperature range: 243 343; value: 9.9e-06, temperature range: 293 573
dPgF
0.0013

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 9.88e-07 K⁻¹ at 633 nm, dn/dT = 3.38e-07 K⁻¹ at 1310 nm, dn/dT = 2.92e-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-QF50 (CDGM), H-QF50: n and k versus wavelength
λ (µm)nk
0.3651.6195977.586650e-06
0.3666981.6189266.357371e-06
0.3684031.6182655.122373e-06
0.371.6176583.966300e-06
0.3701171.6176143.936259e-06
0.3718381.6169723.493979e-06
0.3735681.616343.049642e-06
0.3753061.6157182.603238e-06
0.3770511.6151042.154758e-06
0.3788051.61451.704192e-06
0.381.6140941.397200e-06
0.3805671.6139041.334380e-06
0.3823371.6133171.138265e-06
0.3841161.6127389.412365e-07
0.3859021.6121677.432919e-07
0.3876971.6116045.444267e-07
0.38951.611053.446365e-07
0.391.6108982.892900e-07
0.3913121.6105032.727544e-07
0.3931321.6099632.498173e-07
0.3949611.6094312.267734e-07
0.3967981.6089072.036223e-07
0.3986441.6083891.803636e-07
0.41.6080151.632700e-07
0.4004981.6078781.613977e-07
0.4023611.6073751.543914e-07
0.4042321.6068781.473524e-07
0.4061121.6063871.402807e-07
0.4080011.6059041.331762e-07
0.4098991.6054261.260385e-07
0.4118061.6049551.188677e-07
0.4137211.604491.116635e-07
0.4156451.6040311.044258e-07
0.4175791.6035789.715449e-08
0.4195211.6031318.984932e-08
0.421.6030228.804800e-08
0.4214721.6026898.677364e-08
0.4234331.6022538.507691e-08
0.4254021.6018238.337228e-08
0.4273811.6013988.165973e-08
0.4293691.6009797.993921e-08
0.4313661.6005647.821069e-08
0.4333721.6001557.647413e-08
0.4353881.5997517.472949e-08
0.4374131.5993527.297673e-08
0.4394481.5989587.121583e-08
0.441.5988527.073800e-08
0.4414921.5985687.014324e-08
0.4435451.5981846.932460e-08
0.4456091.5978046.850216e-08
0.4476811.5974286.767589e-08
0.4497641.5970586.684577e-08
0.4518561.5966916.601180e-08
0.4539571.5963296.517394e-08
0.4560691.5959716.433219e-08
0.458191.5956186.348652e-08
0.461.5953216.276500e-08
0.4603211.5952686.262186e-08
0.4624621.5949236.166789e-08
0.4646131.5945826.070948e-08
0.4667751.5942455.974661e-08
0.4689461.5939115.877927e-08
0.4711271.5935825.780743e-08
0.4733181.5932565.683106e-08
0.475521.5929345.585016e-08
0.4777321.5926165.486469e-08
0.4799541.5923025.387464e-08
0.481.5922955.385400e-08
0.4821861.5919915.277800e-08
0.4844291.5916835.167409e-08
0.4866821.5913795.056505e-08
0.4889461.5910784.945085e-08
0.491221.5907814.833146e-08
0.4935051.5904874.720687e-08
0.49581.5901964.607705e-08
0.4981071.5899094.494197e-08
0.51.5896764.401000e-08
0.5004231.5896254.386038e-08
0.5027511.5893434.303779e-08
0.5050891.5890654.221138e-08
0.5074391.588794.138112e-08
0.5097991.5885184.054701e-08
0.512171.5882493.970901e-08
0.5145531.5879833.886711e-08
0.5169461.5877193.802130e-08
0.519351.5874593.717156e-08
0.5217661.5872013.631786e-08
0.5241931.5869463.546019e-08
0.5266311.5866943.459853e-08
0.5290811.5864443.373287e-08
0.5315421.5861973.286317e-08
0.5340141.5859523.198943e-08
0.5364981.5857113.111163e-08
0.5389931.5854713.022975e-08
0.54151.5852342.934376e-08
0.5440191.5852.845365e-08
0.5465491.5847682.755941e-08
0.5490921.5845382.666100e-08
0.551.5844572.634000e-08
0.5516461.5843112.641880e-08
0.5542121.5840862.654165e-08
0.5567891.5838642.666508e-08
0.5593791.5836432.678908e-08
0.5619811.5834252.691365e-08
0.5645951.5832092.703881e-08
0.5672211.5829952.716455e-08
0.5698591.5827842.729087e-08
0.572511.5825742.741778e-08
0.5751731.5823672.754528e-08
0.5778481.5821612.767338e-08
0.5805361.5819582.780207e-08
0.5832361.5817572.793136e-08
0.5859491.5815572.806125e-08
0.5886751.581362.819174e-08
0.5914131.5811642.832284e-08
0.5941641.5809712.845455e-08
0.5969271.5807792.858688e-08
0.5997041.5805892.871982e-08
0.61.5805692.873400e-08
0.6024931.5804012.859408e-08
0.6052961.5802142.843681e-08
0.6081111.580032.827881e-08
0.610941.5798472.812007e-08
0.6137811.5796662.796060e-08
0.6166361.5794872.780038e-08
0.6195041.5793092.763942e-08
0.6223861.5791332.747771e-08
0.6252811.5789592.731525e-08
0.6281891.5787862.715203e-08
0.6311111.5786152.698805e-08
0.6340471.5784452.682331e-08
0.6369961.5782772.665780e-08
0.6399591.578112.649152e-08
0.6429351.5779452.632447e-08
0.6459261.5777822.615665e-08
0.648931.577622.598804e-08
0.651.5775622.592800e-08
0.6519491.5774592.556978e-08
0.6549811.57732.501230e-08
0.6580281.5771422.445222e-08
0.6610881.5769862.388954e-08
0.6641631.5768312.332425e-08
0.6672521.5766772.275632e-08
0.6703561.5765252.218575e-08
0.6734741.5763742.161253e-08
0.6766071.5762242.103664e-08
0.6797541.5760762.045808e-08
0.6829151.5759281.987682e-08
0.6860921.5757821.929286e-08
0.6892831.5756381.870618e-08
0.6924891.5754941.811677e-08
0.695711.5753521.752463e-08
0.6989461.5752111.692972e-08
0.71.5751661.673600e-08
0.7021971.5750711.664831e-08
0.7054631.5749321.651795e-08
0.7087451.5747951.638700e-08
0.7120411.5746581.625543e-08
0.7153531.5745231.612325e-08
0.7186811.5743891.599045e-08
0.7220231.5742561.585704e-08
0.7253821.5741231.572301e-08
0.7287561.5739921.558835e-08
0.7321461.5738621.545307e-08
0.7355511.5737331.531716e-08
0.7389721.5736051.518062e-08
0.7424091.5734781.504344e-08
0.7458631.5733521.490562e-08
0.7493321.5732271.476716e-08
0.7528171.5731031.462806e-08
0.7563191.5729791.448831e-08
0.7598371.5728571.434791e-08
0.7633711.5727361.420686e-08
0.7669221.5726151.406515e-08
0.7704891.5724961.392279e-08
0.7740731.5723771.377976e-08
0.7776731.5722591.363606e-08
0.781291.5721421.349170e-08
0.7849241.5720261.334666e-08
0.7885751.571911.320096e-08
0.7922431.5717961.305457e-08
0.7959281.5716821.290750e-08
0.799631.5715691.275975e-08
0.81.5715581.274500e-08
0.803351.5714571.279840e-08
0.8070861.5713451.285796e-08
0.810841.5712341.291780e-08
0.8146121.5711241.297791e-08
0.8184011.5710151.303831e-08
0.8222081.5709071.309899e-08
0.8260321.5707991.315995e-08
0.8298741.5706921.322119e-08
0.8337341.5705851.328272e-08
0.8376121.5704791.334454e-08
0.8415081.5703741.340664e-08
0.8454221.570271.346903e-08
0.8493551.5701661.353171e-08
0.851.5701491.354200e-08
0.8533051.5700621.359462e-08
0.8572741.569961.365781e-08
0.8612621.5698581.372129e-08
0.8652681.5697561.378506e-08
0.8692921.5696561.384913e-08
0.8733361.5695551.391350e-08
0.8773981.5694561.397817e-08
0.8814791.5693561.404315e-08
0.8855791.5692581.410842e-08
0.8896981.569161.417399e-08
0.8938361.5690621.423988e-08
0.8979941.5689651.430606e-08
0.91.5689191.433800e-08
0.9021711.5688691.437260e-08
0.9063671.5687731.443949e-08
0.9105831.5686771.450669e-08
0.9148181.5685821.457420e-08
0.9190731.5684871.464203e-08
0.9233481.5683931.471017e-08
0.9276431.56831.477863e-08
0.9319581.5682061.484741e-08
0.9362931.5681141.491651e-08
0.9406481.5680211.498593e-08
0.9450231.5679291.505567e-08
0.9494191.5678381.512573e-08
0.951.5678261.513500e-08
0.9538351.5677461.519605e-08
0.9582711.5676561.526668e-08
0.9627291.5675651.533764e-08
0.9672071.5674751.540893e-08
0.9717051.5673851.548055e-08
0.9762251.5672961.555250e-08
0.9807661.5672071.562479e-08
0.9853281.5671181.569742e-08
0.9899111.567031.577038e-08
0.9945151.5669421.584368e-08
0.9991411.5668541.591732e-08
11.5668381.593100e-08
1.003791.5667671.599136e-08
1.008461.566681.606575e-08
1.013151.5665931.614049e-08
1.017861.5665061.621558e-08
1.022591.566421.629101e-08
1.027351.5663341.636680e-08
1.032131.5662481.644293e-08
1.036931.5661631.651943e-08
1.041751.5660771.659628e-08
1.04661.5659921.667348e-08
1.051471.5659071.675105e-08
1.056361.5658231.682897e-08
1.061.565761.688700e-08
1.061271.5657381.690726e-08
1.066211.5656541.698593e-08
1.071171.565571.706496e-08
1.076151.5654861.714435e-08
1.081151.5654021.722412e-08
1.086181.5653181.730426e-08
1.091241.5652351.738477e-08
1.096311.5651521.746565e-08
1.101411.5650681.754691e-08
1.106531.5649851.762855e-08
1.111681.5649021.771057e-08
1.116851.564821.779297e-08
1.122051.5647371.787576e-08
1.127271.5646541.795892e-08
1.132511.5645721.804248e-08
1.137781.5644891.812642e-08
1.143071.5644071.821076e-08
1.148391.5643251.829549e-08
1.153731.5642421.838061e-08
1.159091.564161.846612e-08
1.164481.5640781.855204e-08
1.16991.5639961.863835e-08
1.175341.5639141.872507e-08
1.180811.5638321.881219e-08
1.18631.563751.889971e-08
1.191821.5636681.898764e-08
1.197361.5635861.907598e-08
1.21.5635471.911800e-08
1.202931.5635041.965653e-08
1.208531.5634212.068398e-08
1.214151.5633392.171621e-08
1.21981.5632572.275325e-08
1.225471.5631752.379510e-08
1.231171.5630932.484181e-08
1.23691.563012.589338e-08
1.242651.5629282.694984e-08
1.248431.5628462.801122e-08
1.254241.5627632.907753e-08
1.260071.562683.014881e-08
1.265931.5625983.122506e-08
1.271821.5625153.230632e-08
1.277741.5624323.339262e-08
1.283681.5623493.448396e-08
1.289651.5622663.558038e-08
1.295651.5621823.668190e-08
1.301671.5620993.778855e-08
1.307731.5620153.890034e-08
1.313811.5619324.001730e-08
1.319921.5618484.113946e-08
1.326061.5617644.226684e-08
1.332231.5616794.339946e-08
1.338431.5615954.453735e-08
1.344651.561514.568053e-08
1.350911.5614254.682903e-08
1.357191.561344.798287e-08
1.36351.5612554.914208e-08
1.369851.5611695.030668e-08
1.376221.5610835.147670e-08
1.382621.5609975.265216e-08
1.389051.5609115.383308e-08
1.395511.5608245.501950e-08
1.41.5607645.584400e-08
1.4021.5607385.630849e-08
1.408521.560655.782225e-08
1.415071.5605635.934305e-08
1.421661.5604756.087092e-08
1.428271.5603876.240590e-08
1.434911.5602996.394802e-08
1.441591.560216.549732e-08
1.448291.5601216.705382e-08
1.455031.5600326.861756e-08
1.46181.5599427.018857e-08
1.468591.5598527.176689e-08
1.475431.5597627.335255e-08
1.482291.5596717.494559e-08
1.489181.559587.654603e-08
1.496111.5594887.815392e-08
1.503071.5593967.976929e-08
1.510061.5593048.139218e-08
1.517081.5592118.302261e-08
1.524141.5591188.466062e-08
1.531231.5590248.630626e-08
1.538351.558938.795955e-08
1.545511.5588368.962052e-08
1.55271.5587419.128923e-08
1.559921.5586459.296569e-08
1.567171.5585499.464996e-08
1.574461.5584539.634206e-08
1.581791.5583569.804202e-08
1.589141.5582589.974990e-08
1.596541.5581611.014657e-07
1.61.5581151.022700e-07
1.603961.5580621.077183e-07
1.611421.5579631.179795e-07
1.618921.5578631.282885e-07
1.626451.5577631.386454e-07
1.634011.5576631.490505e-07
1.641611.5575611.595040e-07
1.649251.5574591.700061e-07
1.656921.5573571.805571e-07
1.664631.5572541.911571e-07
1.672371.557152.018065e-07
1.680151.5570462.125054e-07
1.687961.5569412.232540e-07
1.695811.5568352.340526e-07
1.70371.5567292.449015e-07
1.711631.5566222.558008e-07
1.719591.5565142.667509e-07
1.727591.5564062.777518e-07
1.735621.5562972.888040e-07
1.743691.5561872.999075e-07
1.751811.5560773.110627e-07
1.759951.5559663.222697e-07
1.768141.5558543.335289e-07
1.776361.5557413.448405e-07
1.784631.5556273.562047e-07
1.792931.5555133.676217e-07
1.81.5554163.773500e-07
1.801271.5553983.807684e-07
1.809641.5552824.033835e-07
1.818061.5551664.261038e-07
1.826521.5550484.489297e-07
1.835011.554934.718619e-07
1.843551.5548114.949007e-07
1.852121.5546915.180466e-07
1.860741.554575.413002e-07
1.869391.5544485.646620e-07
1.878091.5543255.881324e-07
1.886821.5542026.117120e-07
1.89561.5540776.354013e-07
1.904421.5539526.592008e-07
1.913281.5538256.831110e-07
1.922181.5536987.071323e-07
1.931121.5535697.312655e-07
1.94011.553447.555108e-07
1.949121.553317.798690e-07
1.958191.5531788.043404e-07
1.96731.5530468.289257e-07
1.976451.5529128.536253e-07
1.985641.5527788.784398e-07
1.994881.5526429.033697e-07
21.5525679.172000e-07
2.004161.5525059.471289e-07
2.013481.5523681.014275e-06
2.022841.5522291.081734e-06
2.032251.5520891.149506e-06
2.04171.5519471.217594e-06
2.05121.5518051.285998e-06
2.060741.5516621.354721e-06
2.070331.5515171.423763e-06
2.079961.5513711.493126e-06
2.089631.5512241.562812e-06
2.099351.5510751.632822e-06
2.109121.5509261.703157e-06
2.118931.5507751.773820e-06
2.128781.5506221.844812e-06
2.138681.5504691.916133e-06
2.148631.5503141.987787e-06
2.158621.5501582.059774e-06
2.168671.552.132095e-06
2.178751.5498412.204753e-06
2.188891.5496812.277749e-06
2.199071.5495192.351084e-06
2.21.5495042.357800e-06
2.20931.5493562.396668e-06
2.219571.5491912.439632e-06
2.22991.5490252.482797e-06
2.240271.5488582.526162e-06
2.250691.5486892.569729e-06
2.261161.5485182.613499e-06
2.271671.5483462.657472e-06
2.282241.5481722.701650e-06
2.292861.5479972.746033e-06
2.303521.547822.790623e-06
2.314241.5476412.835420e-06
2.3251.5474612.880425e-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
—