Optical constants

Refractive index of F3 (CDGM)

F3: 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
1.61659
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.61336
Permittivity ε2
3.02669e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
36.627
Chromatic dispersion dn/dλ
-0.0854392 µm⁻¹
Group index ng
1.66679
Group velocity dispersion
165.638 fs²/mm
Dispersion parameter D
-903.642 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

# F3 (CDGM): F3
cdgm_f3 = ls.fetch_refractiveindex("specs", "CDGM-optical", "F3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_f3.range_nm)  # (365, 1014) nm
eps = cdgm_f3.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=2.54428229−0.00835307611⁢λ2.0+0.0228231808⁢λ−2.0+0.000670214922⁢λ−4.0+1.04294821×10-6⁢λ−6.0+3.03297376×10-6⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C12.54428229
C2-0.00835307611
C32.0
C40.0228231808
C5-2.0
C60.000670214922
C7-4.0
C81.04294821e-06
C9-6.0
C103.03297376e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.64e-07 1.78e-08 -2.72e-11 9.68e-07 1.31e-09 0.235
nd
1.616592
Vd
36.627394
glass code
617366
glass status
preferred
density
value: 3570
thermal expansion
value: 8.5e-06, temperature range: 243 343; value: 1e-05, temperature range: 293 573
dPgF
-0.0026

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.57e-06 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
F3 (CDGM), F3: n and k versus wavelength
λ (µm)nk
0.3651.6620211.794550e-07
0.3659361.6615791.712407e-07
0.3668741.6611411.630053e-07
0.3678151.6607071.547488e-07
0.3687581.6602761.464711e-07
0.3697041.6598481.381722e-07
0.371.6597151.355700e-07
0.3706511.6594251.337563e-07
0.3716021.6590041.311105e-07
0.3725551.6585871.284578e-07
0.373511.6581731.257984e-07
0.3744681.6577631.231321e-07
0.3754281.6573561.204590e-07
0.376391.6569521.177790e-07
0.3773561.6565511.150922e-07
0.3783231.6561541.123985e-07
0.3792931.6557591.096978e-07
0.381.6554751.077300e-07
0.3802661.6553681.066177e-07
0.3812411.654981.025360e-07
0.3822181.6545959.844389e-08
0.3831981.6542139.434124e-08
0.3841811.6538339.022808e-08
0.3851661.6534578.610437e-08
0.3861541.6530848.197008e-08
0.3871441.6527137.782520e-08
0.3881361.6523467.366968e-08
0.3891321.6519816.950351e-08
0.391.6516666.586800e-08
0.3901291.6516196.547152e-08
0.391131.651266.240453e-08
0.3921331.6509035.932966e-08
0.3931381.6505495.624692e-08
0.3941461.6501985.315627e-08
0.3951571.649855.005770e-08
0.396171.6495044.695118e-08
0.3971861.6491614.383669e-08
0.3982041.648824.071422e-08
0.3992251.6484823.758375e-08
0.41.6482273.520800e-08
0.4002491.6481463.510399e-08
0.4012751.6478133.467490e-08
0.4023041.6474823.424472e-08
0.4033351.6471543.381343e-08
0.404371.6468283.338104e-08
0.4054071.6465053.294753e-08
0.4064461.6461843.251292e-08
0.4074881.6458653.207719e-08
0.4085331.6455493.164035e-08
0.4095811.6452353.120238e-08
0.4106311.6449233.076329e-08
0.4116841.6446133.032308e-08
0.4127391.6443062.988173e-08
0.4137981.6440012.943926e-08
0.4148591.6436982.899565e-08
0.4159221.6433972.855090e-08
0.4169891.6430982.810502e-08
0.4180581.6428022.765799e-08
0.419131.6425082.720981e-08
0.421.6422712.684600e-08
0.4202051.6422152.678695e-08
0.4212821.6419252.647589e-08
0.4223621.6416372.616404e-08
0.4234451.6413512.585139e-08
0.4245311.6410672.553793e-08
0.4256191.6407842.522367e-08
0.4267111.6405042.490860e-08
0.4278051.6402262.459273e-08
0.4289021.639952.427605e-08
0.4300021.6396752.395855e-08
0.4311041.6394032.364024e-08
0.4322091.6391322.332112e-08
0.4333181.6388642.300117e-08
0.4344291.6385972.268041e-08
0.4355431.6383322.235882e-08
0.4366591.6380692.203641e-08
0.4377791.6378072.171317e-08
0.4389021.6375482.138911e-08
0.441.6372962.107200e-08
0.4400271.637292.106337e-08
0.4411551.6370342.070232e-08
0.4422861.6367792.034035e-08
0.443421.6365271.997745e-08
0.4445571.6362761.961362e-08
0.4456971.6360261.924886e-08
0.446841.6357791.888316e-08
0.4479861.6355331.851652e-08
0.4491351.6352881.814895e-08
0.4502861.6350461.778043e-08
0.4514411.6348051.741097e-08
0.4525981.6345651.704056e-08
0.4537591.6343281.666920e-08
0.4549221.6340911.629688e-08
0.4560891.6338571.592362e-08
0.4572581.6336231.554939e-08
0.4584311.6333921.517421e-08
0.4596061.6331621.479806e-08
0.461.6330851.467200e-08
0.4607851.6329331.469703e-08
0.4619661.6327061.473472e-08
0.4631511.632481.477250e-08
0.4643381.6322561.481039e-08
0.4655291.6320331.484837e-08
0.4667221.6318121.488644e-08
0.4679191.6315921.492462e-08
0.4691191.6313741.496289e-08
0.4703221.6311571.500126e-08
0.4715281.6309411.503973e-08
0.4727371.6307271.507830e-08
0.4739491.6305141.511697e-08
0.4751641.6303031.515573e-08
0.4763821.6300931.519460e-08
0.4776041.6298841.523357e-08
0.4788291.6296761.527263e-08
0.481.629481.531000e-08
0.4800561.629471.528933e-08
0.4812871.6292651.483732e-08
0.4825211.6290621.438415e-08
0.4837581.628861.392982e-08
0.4849991.6286591.347433e-08
0.4862421.6284591.301767e-08
0.4874891.628261.255984e-08
0.4887391.6280631.210083e-08
0.4899921.6278671.164065e-08
0.4912491.6276721.117929e-08
0.4925081.6274791.071674e-08
0.4937711.6272871.025301e-08
0.4950371.6270959.788091e-09
0.4963071.6269059.321979e-09
0.4975791.6267178.854671e-09
0.4988551.6265298.386165e-09
0.51.6263627.965700e-09
0.5001341.6263437.967836e-09
0.5014161.6261577.988267e-09
0.5027021.6259738.008751e-09
0.5039911.625798.029287e-09
0.5052831.6256088.049875e-09
0.5065791.6254278.070517e-09
0.5078781.6252488.091211e-09
0.509181.6250698.111958e-09
0.5104861.6248918.132759e-09
0.5117951.6247158.153613e-09
0.5131071.624548.174520e-09
0.5144231.6243658.195481e-09
0.5157421.6241928.216496e-09
0.5170641.624028.237564e-09
0.518391.6238498.258687e-09
0.5197191.6236788.279863e-09
0.5210521.6235098.301094e-09
0.5223881.6233418.322380e-09
0.5237271.6231748.343720e-09
0.525071.6230088.365115e-09
0.5264161.6228438.386564e-09
0.5277661.6226798.408069e-09
0.5291191.6225158.429629e-09
0.5304761.6223538.451244e-09
0.5318361.6221928.472914e-09
0.53321.6220328.494640e-09
0.5345671.6218728.516422e-09
0.5359381.6217148.538260e-09
0.5373121.6215578.560153e-09
0.538691.62148.582103e-09
0.5400711.6212448.604109e-09
0.5414561.621098.626172e-09
0.5428441.6209368.648291e-09
0.5442361.6207838.670466e-09
0.5456311.6206318.692699e-09
0.547031.620488.714989e-09
0.5484331.6203298.737335e-09
0.5498391.620188.759739e-09
0.551.6201638.762300e-09
0.5512491.6200318.782201e-09
0.5526631.6198848.804720e-09
0.554081.6197378.827297e-09
0.55551.6195918.849931e-09
0.5569251.6194468.872624e-09
0.5583531.6193028.895375e-09
0.5597841.6191588.918184e-09
0.561221.6190158.941052e-09
0.5626591.6188748.963979e-09
0.5641011.6187328.986964e-09
0.5655481.6185929.010008e-09
0.5669981.6184539.033111e-09
0.5684521.6183149.056273e-09
0.5699091.6181769.079495e-09
0.5713711.6180399.102777e-09
0.5728361.6179039.126118e-09
0.5743041.6177679.149519e-09
0.5757771.6176339.172980e-09
0.5772531.6174999.196501e-09
0.5787331.6173659.220082e-09
0.5802171.6172339.243724e-09
0.5817051.6171019.267426e-09
0.5831971.616979.291190e-09
0.5846921.616849.315014e-09
0.5861911.616719.338899e-09
0.5876941.6165819.362846e-09
0.5892011.6164539.386853e-09
0.5907121.6163269.410923e-09
0.5922271.6161999.435054e-09
0.5937451.6160739.459247e-09
0.5952681.6159479.483502e-09
0.5967941.6158239.507820e-09
0.5983241.6156999.532199e-09
0.5998581.6155759.556641e-09
0.61.6155649.558900e-09
0.6013961.6154539.581132e-09
0.6029381.6153319.605684e-09
0.6044841.615219.630300e-09
0.6060341.6150899.654978e-09
0.6075881.6149699.679719e-09
0.6091461.614859.704524e-09
0.6107081.6147319.729393e-09
0.6122741.6146139.754326e-09
0.6138441.6144959.779322e-09
0.6154181.6143799.804382e-09
0.6169961.6142639.829507e-09
0.6185781.6141479.854696e-09
0.6201641.6140329.879950e-09
0.6217541.6139189.905268e-09
0.6233481.6138049.930651e-09
0.6249471.6136919.956100e-09
0.6265491.6135799.981614e-09
0.6281561.6134671.000719e-08
0.6297661.6133551.003284e-08
0.6313811.6132451.005855e-08
0.6331.6131351.008432e-08
0.6346231.6130251.011017e-08
0.636251.6129161.013608e-08
0.6378821.6128081.016205e-08
0.6395171.61271.018809e-08
0.6411571.6125931.021420e-08
0.6428011.6124861.024038e-08
0.6444491.612381.026662e-08
0.6461021.6122741.029293e-08
0.6477581.6121691.031931e-08
0.6494191.6120651.034575e-08
0.651.6120291.035500e-08
0.6510841.6119611.037228e-08
0.6527541.6118581.039889e-08
0.6544271.6117551.042557e-08
0.6561051.6116521.045232e-08
0.6577881.6115511.047914e-08
0.6594741.6114491.050602e-08
0.6611651.6113481.053298e-08
0.6628611.6112481.056000e-08
0.664561.6111481.058709e-08
0.6662641.6110491.061425e-08
0.6679731.6109511.064148e-08
0.6696851.6108521.066878e-08
0.6714021.6107551.069615e-08
0.6731241.6106571.072360e-08
0.674851.6105611.075111e-08
0.676581.6104641.077869e-08
0.6783151.6103691.080634e-08
0.6800541.6102731.083407e-08
0.6817981.6101781.086186e-08
0.6835461.6100841.088973e-08
0.6852991.609991.091767e-08
0.6870561.6098971.094567e-08
0.6888181.6098041.097376e-08
0.6905841.6097111.100191e-08
0.6923551.6096191.103013e-08
0.694131.6095281.105843e-08
0.695911.6094371.108680e-08
0.6976941.6093461.111524e-08
0.6994831.6092561.114376e-08
0.71.609231.115200e-08
0.7012771.6091661.133537e-08
0.7030751.6090761.159366e-08
0.7048771.6089881.185260e-08
0.7066851.6088991.211221e-08
0.7084971.6088111.237249e-08
0.7103131.6087231.263343e-08
0.7121351.6086361.289504e-08
0.7139611.6085491.315733e-08
0.7157911.6084631.342028e-08
0.7176271.6083771.368391e-08
0.7194671.6082911.394822e-08
0.7213121.6082061.421320e-08
0.7231611.6081211.447886e-08
0.7250151.6080371.474521e-08
0.7268741.6079531.501223e-08
0.7287381.607871.527995e-08
0.7306071.6077861.554834e-08
0.732481.6077041.581743e-08
0.7343581.6076211.608721e-08
0.7362411.6075391.635767e-08
0.7381291.6074581.662884e-08
0.7400221.6073761.690069e-08
0.7419191.6072961.717325e-08
0.7438211.6072151.744650e-08
0.7457291.6071351.772045e-08
0.7476411.6070551.799511e-08
0.7495581.6069761.827047e-08
0.751481.6068971.854653e-08
0.7534061.6068181.882331e-08
0.7553381.606741.910079e-08
0.7572751.6066621.937899e-08
0.7592171.6065841.965790e-08
0.7611631.6065071.993752e-08
0.7631151.606432.021786e-08
0.7650721.6063542.049892e-08
0.7670341.6062772.078070e-08
0.7691.6062012.106320e-08
0.7709721.6061262.134643e-08
0.7729491.6060512.163038e-08
0.7749311.6059762.191506e-08
0.7769181.6059012.220047e-08
0.778911.6058272.248662e-08
0.7809071.6057532.277349e-08
0.7829091.605682.306111e-08
0.7849171.6056062.334945e-08
0.7869291.6055342.363854e-08
0.7889471.6054612.392837e-08
0.790971.6053892.421895e-08
0.7929981.6053172.451027e-08
0.7950321.6052452.480233e-08
0.797071.6051742.509515e-08
0.7991141.6051032.538871e-08
0.81.6050722.551600e-08
0.8011631.6050322.555309e-08
0.8032171.6049612.561862e-08
0.8052771.6048912.568432e-08
0.8073411.6048212.575019e-08
0.8094111.6047522.581623e-08
0.8114871.6046822.588243e-08
0.8135681.6046132.594881e-08
0.8156541.6045452.601535e-08
0.8177451.6044762.608207e-08
0.8198421.6044082.614895e-08
0.8219441.604342.621601e-08
0.8240521.6042732.628324e-08
0.8261641.6042052.635065e-08
0.8282831.6041382.641822e-08
0.8304071.6040722.648597e-08
0.8325361.6040052.655389e-08
0.8346711.6039392.662199e-08
0.8368111.6038732.669026e-08
0.8389561.6038072.675871e-08
0.8411081.6037422.682733e-08
0.8432641.6036772.689613e-08
0.8454261.6036122.696510e-08
0.8475941.6035472.703425e-08
0.8497671.6034832.710358e-08
0.851.6034762.711100e-08
0.8519461.6034182.717305e-08
0.8541311.6033542.724269e-08
0.8563211.6032912.731251e-08
0.8585171.6032272.738251e-08
0.8607181.6031642.745268e-08
0.8629251.6031012.752304e-08
0.8651371.6030382.759358e-08
0.8673561.6029762.766430e-08
0.869581.6029142.773520e-08
0.8718091.6028522.780628e-08
0.8740451.602792.787755e-08
0.8762861.6027282.794899e-08
0.8785331.6026672.802062e-08
0.8807851.6026062.809244e-08
0.8830441.6025452.816444e-08
0.8853081.6024842.823662e-08
0.8875781.6024242.830899e-08
0.8898541.6023642.838154e-08
0.8921351.6023042.845428e-08
0.8944231.6022442.852720e-08
0.8967161.6021842.860032e-08
0.8990161.6021252.867362e-08
0.91.60212.870500e-08
0.9013211.6020662.874713e-08
0.9036321.6020072.882086e-08
0.9059491.6019482.889477e-08
0.9082721.601892.896887e-08
0.9106011.6018312.904316e-08
0.9129351.6017732.911764e-08
0.9152761.6017152.919231e-08
0.9176231.6016572.926718e-08
0.9199761.60162.934224e-08
0.9223351.6015432.941748e-08
0.92471.6014852.949293e-08
0.9270711.6014282.956856e-08
0.9294481.6013722.964439e-08
0.9318311.6013152.972041e-08
0.934221.6012592.979663e-08
0.9366161.6012022.987305e-08
0.9390171.6011462.994966e-08
0.9414251.601093.002646e-08
0.9438391.6010353.010347e-08
0.9462591.6009793.018067e-08
0.9486851.6009243.025807e-08
0.951.6008943.030000e-08
0.9511181.6008693.033566e-08
0.9535571.6008143.041346e-08
0.9560021.6007593.049145e-08
0.9584531.6007043.056965e-08
0.9609111.600653.064805e-08
0.9633741.6005953.072664e-08
0.9658451.6005413.080544e-08
0.9683211.6004873.088444e-08
0.9708041.6004333.096365e-08
0.9732931.6003793.104305e-08
0.9757891.6003263.112266e-08
0.9782911.6002723.120248e-08
0.9807991.6002193.128249e-08
0.9833141.6001663.136272e-08
0.9858351.6001133.144315e-08
0.9883631.600063.152378e-08
0.9908971.6000083.160463e-08
0.9934381.5999553.168568e-08
0.9959851.5999033.176693e-08
0.9985391.5998513.184840e-08
11.5998213.189500e-08
1.00111.5997983.193007e-08
1.003671.5997473.201196e-08
1.006241.5996953.209405e-08
1.008821.5996433.217636e-08
1.011411.5995923.225887e-08
1.0141.599543.234160e-08

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
—