Optical constants

Refractive index of F4 (CDGM)

F4: n,k 0.365–1.014 µm

Data
formula 3 + tabulated k
Range
0.365–1.014 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–1.014 µm
Refractive index n
1.62004
Extinction coefficient k
2.81403e-08
Permittivity ε1
2.62454
Permittivity ε2
9.11770e-08
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
36.357
Chromatic dispersion dn/dλ
-0.0864656 µm⁻¹
Group index ng
1.67085
Group velocity dispersion
168.248 fs²/mm
Dispersion parameter D
-917.884 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

# F4 (CDGM): F4
cdgm_f4 = ls.fetch_refractiveindex("specs", "CDGM-optical", "F4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_f4.range_nm)  # (365, 1014) nm
eps = cdgm_f4.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

Polynomial (formula 3), λ in µm
n2=2.5544667−0.00847847799⁢λ2.0+0.0232832892⁢λ−2.0+0.000583809482⁢λ−4.0+2.1963001×10-5⁢λ−6.0+1.96537708×10-6⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C12.5544667
C2-0.00847847799
C32.0
C40.0232832892
C5-2.0
C60.000583809482
C7-4.0
C82.1963001e-05
C9-6.0
C101.96537708e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.9e-06 2.24e-08 -2.95e-11 9.73e-07 8.74e-10 0.246
nd
1.620047
Vd
36.356730
glass code
620364
glass status
preferred
density
value: 3570
thermal expansion
value: 9.1e-06, temperature range: 243 343; value: 1.14e-05, temperature range: 293 573
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.98e-08 K⁻¹ at 633 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 418 wavelengths, the same grid as the API and the library
F4 (CDGM), F4: n and k versus wavelength
λ (µm)nk
0.3651.666291.640400e-07
0.3659361.665841.564069e-07
0.3668741.6653931.487542e-07
0.3678151.6649491.410818e-07
0.3687581.6645091.333898e-07
0.3697041.6640731.256781e-07
0.371.6639371.232600e-07
0.3706511.663641.212305e-07
0.3716021.6632111.182698e-07
0.3725551.6627851.153014e-07
0.373511.6623631.123255e-07
0.3744681.6619441.093420e-07
0.3754281.6615281.063507e-07
0.376391.6611161.033519e-07
0.3773561.6607071.003453e-07
0.3783231.6603019.733102e-08
0.3792931.6598989.430902e-08
0.381.6596089.210700e-08
0.3802661.6594999.132566e-08
0.3812411.6591038.845837e-08
0.3822181.6587098.558374e-08
0.3831981.6583198.270173e-08
0.3841811.6579327.981234e-08
0.3851661.6575487.691554e-08
0.3861541.6571677.401131e-08
0.3871441.6567897.109963e-08
0.3881361.6564136.818049e-08
0.3891321.6560416.525386e-08
0.391.6557196.270000e-08
0.3901291.6556716.251130e-08
0.391131.6553056.105163e-08
0.3921331.6549415.958821e-08
0.3931381.654585.812104e-08
0.3941461.6542215.665011e-08
0.3951571.6538655.517541e-08
0.396171.6535125.369693e-08
0.3971861.6531625.221465e-08
0.3982041.6528145.072857e-08
0.3992251.6524694.923869e-08
0.41.652214.810800e-08
0.4002491.6521274.801150e-08
0.4012751.6517874.761341e-08
0.4023041.6514494.721430e-08
0.4033351.6511144.681416e-08
0.404371.6507824.641300e-08
0.4054071.6504524.601081e-08
0.4064461.6501244.560759e-08
0.4074881.6497994.520333e-08
0.4085331.6494764.479804e-08
0.4095811.6491564.439171e-08
0.4106311.6488384.398434e-08
0.4116841.6485224.357592e-08
0.4127391.6482094.316646e-08
0.4137981.6478984.275594e-08
0.4148591.6475894.234438e-08
0.4159221.6472824.193176e-08
0.4169891.6469774.151808e-08
0.4180581.6466754.110334e-08
0.419131.6463754.068753e-08
0.421.6461334.035000e-08
0.4202051.6460774.033342e-08
0.4212821.6457814.024610e-08
0.4223621.6454874.015855e-08
0.4234451.6451964.007077e-08
0.4245311.6449063.998277e-08
0.4256191.6446183.989454e-08
0.4267111.6443333.980609e-08
0.4278051.6440493.971741e-08
0.4289021.6437683.962851e-08
0.4300021.6434883.953937e-08
0.4311041.6432113.945001e-08
0.4322091.6429353.936042e-08
0.4333181.6426613.927060e-08
0.4344291.6423893.918055e-08
0.4355431.6421193.909026e-08
0.4366591.6418513.899975e-08
0.4377791.6415853.890900e-08
0.4389021.6413213.881803e-08
0.441.6410643.872900e-08
0.4400271.6410583.872140e-08
0.4411551.6407973.840351e-08
0.4422861.6405383.808480e-08
0.443421.6402813.776528e-08
0.4445571.6400253.744494e-08
0.4456971.6397723.712378e-08
0.446841.639523.680179e-08
0.4479861.6392693.647898e-08
0.4491351.6390213.615534e-08
0.4502861.6387743.583087e-08
0.4514411.6385283.550557e-08
0.4525981.6382853.517944e-08
0.4537591.6380433.485247e-08
0.4549221.6378023.452466e-08
0.4560891.6375643.419601e-08
0.4572581.6373263.386652e-08
0.4584311.6370913.353618e-08
0.4596061.6368573.320499e-08
0.461.6367793.309400e-08
0.4607851.6366243.299935e-08
0.4619661.6363933.285680e-08
0.4631511.6361643.271389e-08
0.4643381.6359363.257061e-08
0.4655291.6357093.242696e-08
0.4667221.6354843.228295e-08
0.4679191.6352613.213856e-08
0.4691191.6350393.199381e-08
0.4703221.6348183.184869e-08
0.4715281.6345993.170319e-08
0.4727371.6343813.155732e-08
0.4739491.6341653.141107e-08
0.4751641.633953.126445e-08
0.4763821.6337373.111746e-08
0.4776041.6335243.097009e-08
0.4788291.6333143.082234e-08
0.481.6331143.068100e-08
0.4800561.6331043.067331e-08
0.4812871.6328963.050523e-08
0.4825211.6326893.033672e-08
0.4837581.6324843.016778e-08
0.4849991.632282.999840e-08
0.4862421.6320772.982859e-08
0.4874891.6318752.965834e-08
0.4887391.6316752.948766e-08
0.4899921.6314762.931654e-08
0.4912491.6312782.914498e-08
0.4925081.6310822.897298e-08
0.4937711.6308862.880054e-08
0.4950371.6306922.862766e-08
0.4963071.6304992.845434e-08
0.4975791.6303082.828057e-08
0.4988551.6301172.810635e-08
0.51.6299482.795000e-08
0.5001341.6299282.794568e-08
0.5014161.629742.790439e-08
0.5027021.6295532.786299e-08
0.5039911.6293672.782149e-08
0.5052831.6291832.777987e-08
0.5065791.6289992.773816e-08
0.5078781.6288172.769633e-08
0.509181.6286362.765440e-08
0.5104861.6284562.761236e-08
0.5117951.6282772.757021e-08
0.5131071.6280992.752796e-08
0.5144231.6279222.748559e-08
0.5157421.6277462.744312e-08
0.5170641.6275712.740054e-08
0.518391.6273982.735785e-08
0.5197191.6272252.731505e-08
0.5210521.6270542.727214e-08
0.5223881.6268832.722912e-08
0.5237271.6267142.718599e-08
0.525071.6265452.714275e-08
0.5264161.6263782.709940e-08
0.5277661.6262122.705593e-08
0.5291191.6260462.701236e-08
0.5304761.6258822.696867e-08
0.5318361.6257182.692487e-08
0.53321.6255562.688096e-08
0.5345671.6253942.683694e-08
0.5359381.6252342.679281e-08
0.5373121.6250742.674856e-08
0.538691.6249162.670419e-08
0.5400711.6247582.665972e-08
0.5414561.6246012.661513e-08
0.5428441.6244452.657042e-08
0.5442361.624292.652560e-08
0.5456311.6241362.648067e-08
0.547031.6239832.643562e-08
0.5484331.6238312.639046e-08
0.5498391.623682.634518e-08
0.551.6236622.634000e-08
0.5512491.6235292.639981e-08
0.5526631.623382.646748e-08
0.554081.6232312.653533e-08
0.55551.6230832.660336e-08
0.5569251.6229362.667155e-08
0.5583531.622792.673993e-08
0.5597841.6226452.680848e-08
0.561221.62252.687720e-08
0.5626591.6223562.694610e-08
0.5641011.6222142.701518e-08
0.5655481.6220722.708443e-08
0.5669981.621932.715386e-08
0.5684521.621792.722347e-08
0.5699091.6216512.729326e-08
0.5713711.6215122.736323e-08
0.5728361.6213742.743337e-08
0.5743041.6212372.750370e-08
0.5757771.62112.757420e-08
0.5772531.6209642.764489e-08
0.5787331.620832.771576e-08
0.5802171.6206952.778681e-08
0.5817051.6205622.785804e-08
0.5831971.6204292.792946e-08
0.5846921.6202972.800106e-08
0.5861911.6201662.807284e-08
0.5876941.6200362.814480e-08
0.5892011.6199062.821695e-08
0.5907121.6197772.828929e-08
0.5922271.6196492.836181e-08
0.5937451.6195212.843452e-08
0.5952681.6193952.850741e-08
0.5967941.6192682.858049e-08
0.5983241.6191432.865376e-08
0.5998581.6190182.872721e-08
0.61.6190072.873400e-08
0.6013961.6188942.880088e-08
0.6029381.6187712.887475e-08
0.6044841.6186482.894880e-08
0.6060341.6185262.902304e-08
0.6075881.6184052.909748e-08
0.6091461.6182842.917210e-08
0.6107081.6181642.924691e-08
0.6122741.6180442.932192e-08
0.6138441.6179262.939712e-08
0.6154181.6178082.947251e-08
0.6169961.617692.954810e-08
0.6185781.6175732.962388e-08
0.6201641.6174572.969985e-08
0.6217541.6173412.977602e-08
0.6233481.6172262.985238e-08
0.6249471.6171122.992894e-08
0.6265491.6169983.000570e-08
0.6281561.6168853.008265e-08
0.6297661.6167733.015980e-08
0.6313811.6166613.023715e-08
0.6331.6165493.031469e-08
0.6346231.6164393.039244e-08
0.636251.6163283.047038e-08
0.6378821.6162193.054853e-08
0.6395171.616113.062687e-08
0.6411571.6160013.070542e-08
0.6428011.6158933.078416e-08
0.6444491.6157863.086311e-08
0.6461021.6156793.094226e-08
0.6477581.6155733.102162e-08
0.6494191.6154673.110117e-08
0.651.6154313.112900e-08
0.6510841.6153623.118091e-08
0.6527541.6152583.126085e-08
0.6544271.6151543.134098e-08
0.6561051.615053.142133e-08
0.6577881.6149473.150188e-08
0.6594741.6148453.158263e-08
0.6611651.6147433.166360e-08
0.6628611.6146423.174477e-08
0.664561.6145413.182614e-08
0.6662641.614443.190773e-08
0.6679731.6143413.198953e-08
0.6696851.6142413.207153e-08
0.6714021.6141433.215375e-08
0.6731241.6140443.223618e-08
0.674851.6139463.231881e-08
0.676581.6138493.240166e-08
0.6783151.6137523.248473e-08
0.6800541.6136563.256800e-08
0.6817981.613563.265149e-08
0.6835461.6134653.273520e-08
0.6852991.613373.281911e-08
0.6870561.6132753.290325e-08
0.6888181.6131813.298760e-08
0.6905841.6130883.307216e-08
0.6923551.6129953.315694e-08
0.694131.6129023.324194e-08
0.695911.612813.332716e-08
0.6976941.6127183.341259e-08
0.6994831.6126273.349825e-08
0.71.6126013.352300e-08
0.7012771.6125363.358414e-08
0.7030751.6124463.367025e-08
0.7048771.6123563.375658e-08
0.7066851.6122673.384314e-08
0.7084971.6121783.392991e-08
0.7103131.6120893.401691e-08
0.7121351.6120013.410414e-08
0.7139611.6119133.419158e-08
0.7157911.6118263.427925e-08
0.7176271.6117393.436715e-08
0.7194671.6116523.445527e-08
0.7213121.6115663.454361e-08
0.7231611.611483.463219e-08
0.7250151.6113953.472099e-08
0.7268741.611313.481001e-08
0.7287381.6112263.489927e-08
0.7306071.6111423.498875e-08
0.732481.6110583.507847e-08
0.7343581.6109753.516841e-08
0.7362411.6108923.525859e-08
0.7381291.6108093.534899e-08
0.7400221.6107273.543963e-08
0.7419191.6106453.553050e-08
0.7438211.6105643.562160e-08
0.7457291.6104833.571294e-08
0.7476411.6104023.580451e-08
0.7495581.6103223.589632e-08
0.751481.6102423.598836e-08
0.7534061.6101633.608064e-08
0.7553381.6100843.617315e-08
0.7572751.6100053.626590e-08
0.7592171.6099263.635889e-08
0.7611631.6098483.645212e-08
0.7631151.6097713.654558e-08
0.7650721.6096933.663929e-08
0.7670341.6096163.673324e-08
0.7691.6095393.682742e-08
0.7709721.6094633.692185e-08
0.7729491.6093873.701652e-08
0.7749311.6093113.711144e-08
0.7769181.6092363.720659e-08
0.778911.6091613.730199e-08
0.7809071.6090863.739764e-08
0.7829091.6090123.749353e-08
0.7849171.6089383.758967e-08
0.7869291.6088643.768605e-08
0.7889471.6087913.778268e-08
0.790971.6087173.787956e-08
0.7929981.6086453.797669e-08
0.7950321.6085723.807406e-08
0.797071.60853.817169e-08
0.7991141.6084283.826956e-08
0.81.6083973.831200e-08
0.8011631.6083573.773593e-08
0.8032171.6082853.671826e-08
0.8052771.6082143.569797e-08
0.8073411.6081443.467507e-08
0.8094111.6080733.364955e-08
0.8114871.6080033.262140e-08
0.8135681.6079343.159061e-08
0.8156541.6078643.055717e-08
0.8177451.6077952.952109e-08
0.8198421.6077262.848235e-08
0.8219441.6076572.744095e-08
0.8240521.6075892.639688e-08
0.8261641.6075212.535013e-08
0.8282831.6074532.430069e-08
0.8304071.6073862.324857e-08
0.8325361.6073182.219375e-08
0.8346711.6072512.113622e-08
0.8368111.6071852.007598e-08
0.8389561.6071181.901302e-08
0.8411081.6070521.794734e-08
0.8432641.6069861.687893e-08
0.8454261.606921.580777e-08
0.8475941.6068551.473387e-08
0.8497671.606791.365721e-08
0.851.6067831.354200e-08
0.8519461.6067251.357299e-08
0.8541311.606661.360776e-08
0.8563211.6065961.364263e-08
0.8585171.6065321.367758e-08
0.8607181.6064681.371263e-08
0.8629251.6064041.374776e-08
0.8651371.6063411.378299e-08
0.8673561.6062771.381830e-08
0.869581.6062141.385371e-08
0.8718091.6061521.388920e-08
0.8740451.6060891.392479e-08
0.8762861.6060271.396047e-08
0.8785331.6059651.399624e-08
0.8807851.6059031.403210e-08
0.8830441.6058411.406806e-08
0.8853081.605781.410410e-08
0.8875781.6057191.414024e-08
0.8898541.6056581.417647e-08
0.8921351.6055971.421280e-08
0.8944231.6055371.424921e-08
0.8967161.6054761.428572e-08
0.8990161.6054161.432233e-08
0.91.6053911.433800e-08
0.9013211.6053571.415905e-08
0.9036321.6052971.384593e-08
0.9059491.6052371.353201e-08
0.9082721.6051781.321728e-08
0.9106011.6051191.290174e-08
0.9129351.605061.258540e-08
0.9152761.6050021.226824e-08
0.9176231.6049431.195027e-08
0.9199761.6048851.163149e-08
0.9223351.6048271.131188e-08
0.92471.6047691.099146e-08
0.9270711.6047111.067022e-08
0.9294481.6046541.034815e-08
0.9318311.6045971.002526e-08
0.934221.604549.701538e-09
0.9366161.6044839.376987e-09
0.9390171.6044269.051604e-09
0.9414251.6043698.725387e-09
0.9438391.6043138.398333e-09
0.9462591.6042578.070440e-09
0.9486851.6042017.741707e-09
0.951.6041717.563600e-09
0.9511181.6041457.572501e-09
0.9535571.6040897.591918e-09
0.9560021.6040347.611386e-09
0.9584531.6039787.630903e-09
0.9609111.6039237.650470e-09
0.9633741.6038687.670087e-09
0.9658451.6038137.689754e-09
0.9683211.6037597.709472e-09
0.9708041.6037047.729241e-09
0.9732931.603657.749060e-09
0.9757891.6035967.768930e-09
0.9782911.6035417.788851e-09
0.9807991.6034887.808823e-09
0.9833141.6034347.828846e-09
0.9858351.603387.848921e-09
0.9883631.6033277.869047e-09
0.9908971.6032737.889225e-09
0.9934381.603227.909454e-09
0.9959851.6031677.929735e-09
0.9985391.6031147.950069e-09
11.6030847.961700e-09
1.00111.6030627.970454e-09
1.003671.6030097.990891e-09
1.006241.6029578.011380e-09
1.008821.6029048.031922e-09
1.011411.6028528.052516e-09
1.0141.60288.073163e-09

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
—