Optical constants

Refractive index of F2 (CDGM)

F2: 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
1.61293
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.60153
Permittivity ε2
1.50915e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
36.986
Chromatic dispersion dn/dλ
-0.0840949 µm⁻¹
Group index ng
1.66234
Group velocity dispersion
162.881 fs²/mm
Dispersion parameter D
-888.604 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

# F2 (CDGM): F2
cdgm_f2 = ls.fetch_refractiveindex("specs", "CDGM-optical", "F2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_f2.range_nm)  # (365, 1014) nm
eps = cdgm_f2.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=2.53265982−0.00773825354⁢λ2.0+0.0231731432⁢λ−2.0+0.000409362855⁢λ−4.0+3.78046829×10-5⁢λ−6.0+1.03464346×10-6⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C12.53265982
C2-0.00773825354
C32.0
C40.0231731432
C5-2.0
C60.000409362855
C7-4.0
C83.78046829e-05
C9-6.0
C101.03464346e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -3.84e-06 1.63e-08 -7.71e-11 9.44e-07 8.73e-10 0.251
nd
1.612929
Vd
36.986002
glass code
613370
glass status
preferred
density
value: 3500
thermal expansion
value: 1.01e-05, temperature range: 243 343; value: 1.21e-05, temperature range: 293 573
dPgF
-0.0014
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -5.16e-07 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
F2 (CDGM), F2: n and k versus wavelength
λ (µm)nk
0.3651.6576819.871050e-08
0.3659361.6572469.305781e-08
0.3668741.6568168.739063e-08
0.3678151.6563898.170891e-08
0.3687581.6559657.601263e-08
0.3697041.6555447.030174e-08
0.371.6554136.851100e-08
0.3706511.6551276.702513e-08
0.3716021.6547146.485750e-08
0.3725551.6543036.268431e-08
0.373511.6538966.050555e-08
0.3744681.6534925.832120e-08
0.3754281.6530915.613125e-08
0.376391.6526945.393569e-08
0.3773561.6522995.173450e-08
0.3783231.6519084.952766e-08
0.3792931.6515194.731516e-08
0.381.6512394.570300e-08
0.3802661.6511344.523417e-08
0.3812411.6507514.351373e-08
0.3822181.6503724.178887e-08
0.3831981.6499964.005959e-08
0.3841811.6496223.832587e-08
0.3851661.6492513.658771e-08
0.3861541.6488833.484509e-08
0.3871441.6485183.309801e-08
0.3881361.6481563.134644e-08
0.3891321.6477972.959038e-08
0.391.6474862.805800e-08
0.3901291.647442.790149e-08
0.391131.6470862.669080e-08
0.3921331.6467342.547700e-08
0.3931381.6463862.426009e-08
0.3941461.6460392.304006e-08
0.3951571.6456962.181690e-08
0.396171.6453552.059061e-08
0.3971861.6450161.936117e-08
0.3982041.6446811.812858e-08
0.3992251.6443471.689282e-08
0.41.6440961.595500e-08
0.4002491.6440161.583977e-08
0.4012751.6436881.536441e-08
0.4023041.6433621.488783e-08
0.4033351.6430381.441003e-08
0.404371.6427171.393101e-08
0.4054071.6423981.345075e-08
0.4064461.6420811.296927e-08
0.4074881.6417671.248655e-08
0.4085331.6414551.200259e-08
0.4095811.6411451.151739e-08
0.4106311.6408381.103095e-08
0.4116841.6405331.054326e-08
0.4127391.6402291.005432e-08
0.4137981.6399299.564130e-09
0.4148591.639639.072680e-09
0.4159221.6393338.579970e-09
0.4169891.6390398.085996e-09
0.4180581.6387467.590755e-09
0.419131.6384567.094245e-09
0.421.6382236.691200e-09
0.4202051.6381686.694458e-09
0.4212821.6378826.711622e-09
0.4223621.6375986.728829e-09
0.4234451.6373156.746081e-09
0.4245311.6370356.763377e-09
0.4256191.6367576.780718e-09
0.4267111.6364816.798102e-09
0.4278051.6362066.815532e-09
0.4289021.6359346.833006e-09
0.4300021.6356646.850525e-09
0.4311041.6353956.868088e-09
0.4322091.6351286.885697e-09
0.4333181.6348636.903351e-09
0.4344291.63466.921051e-09
0.4355431.6343396.938795e-09
0.4366591.6340796.956585e-09
0.4377791.6338226.974421e-09
0.4389021.6335666.992303e-09
0.441.6333177.009800e-09
0.4400271.6333117.010230e-09
0.4411551.6330597.028209e-09
0.4422861.6328087.046234e-09
0.443421.6325597.064305e-09
0.4445571.6323127.082423e-09
0.4456971.6320667.100587e-09
0.446841.6318227.118797e-09
0.4479861.631587.137055e-09
0.4491351.6313397.155359e-09
0.4502861.63117.173710e-09
0.4514411.6308627.192108e-09
0.4525981.6306267.210553e-09
0.4537591.6303927.229046e-09
0.4549221.6301597.247586e-09
0.4560891.6299277.266173e-09
0.4572581.6296987.284809e-09
0.4584311.6294697.303492e-09
0.4596061.6292437.322222e-09
0.461.6291677.328500e-09
0.4607851.6290177.190938e-09
0.4619661.6287946.983769e-09
0.4631511.6285716.776069e-09
0.4643381.628356.567837e-09
0.4655291.6281316.359071e-09
0.4667221.6279136.149769e-09
0.4679191.6276965.939931e-09
0.4691191.6274815.729555e-09
0.4703221.6272675.518639e-09
0.4715281.6270555.307183e-09
0.4727371.6268445.095184e-09
0.4739491.6266344.882642e-09
0.4751641.6264264.669555e-09
0.4763821.6262194.455921e-09
0.4776041.6260134.241740e-09
0.4788291.6258094.027009e-09
0.481.6256153.821600e-09
0.4800561.6256063.822048e-09
0.4812871.6254043.831853e-09
0.4825211.6252043.841682e-09
0.4837581.6250043.851536e-09
0.4849991.6248063.861416e-09
0.4862421.624613.871321e-09
0.4874891.6244143.881252e-09
0.4887391.624223.891208e-09
0.4899921.6240273.901189e-09
0.4912491.6238353.911196e-09
0.4925081.6236453.921229e-09
0.4937711.6234553.931288e-09
0.4950371.6232673.941372e-09
0.4963071.623083.951482e-09
0.4975791.6228943.961618e-09
0.4988551.6227093.971780e-09
0.51.6225453.980900e-09
0.5001341.6225263.981968e-09
0.5014161.6223433.992178e-09
0.5027021.6221624.002415e-09
0.5039911.6219824.012677e-09
0.5052831.6218034.022966e-09
0.5065791.6216254.033282e-09
0.5078781.6214484.043624e-09
0.509181.6212724.053992e-09
0.5104861.6210974.064387e-09
0.5117951.6209234.074809e-09
0.5131071.6207514.085258e-09
0.5144231.6205794.095733e-09
0.5157421.6204084.106235e-09
0.5170641.6202394.116764e-09
0.518391.620074.127320e-09
0.5197191.6199034.137903e-09
0.5210521.6197364.148513e-09
0.5223881.6195714.159150e-09
0.5237271.6194064.169815e-09
0.525071.6192434.180507e-09
0.5264161.619084.191227e-09
0.5277661.6189194.201973e-09
0.5291191.6187584.212748e-09
0.5304761.6185994.223550e-09
0.5318361.618444.234380e-09
0.53321.6182824.245237e-09
0.5345671.6181254.256123e-09
0.5359381.6179694.267036e-09
0.5373121.6178144.277977e-09
0.538691.617664.288947e-09
0.5400711.6175074.299944e-09
0.5414561.6173554.310970e-09
0.5428441.6172034.322024e-09
0.5442361.6170534.333106e-09
0.5456311.6169034.344217e-09
0.547031.6167544.355356e-09
0.5484331.6166074.366524e-09
0.5498391.616464.377720e-09
0.551.6164434.379000e-09
0.5512491.6163134.388943e-09
0.5526631.6161684.400194e-09
0.554081.6160234.411474e-09
0.55551.615884.422783e-09
0.5569251.6157374.434121e-09
0.5583531.6155954.445487e-09
0.5597841.6154544.456883e-09
0.561221.6153134.468309e-09
0.5626591.6151744.479763e-09
0.5641011.6150354.491247e-09
0.5655481.6148974.502761e-09
0.5669981.614764.514304e-09
0.5684521.6146234.525876e-09
0.5699091.6144874.537478e-09
0.5713711.6143534.549110e-09
0.5728361.6142184.560772e-09
0.5743041.6140854.572464e-09
0.5757771.6139524.584185e-09
0.5772531.613824.595937e-09
0.5787331.6136894.607719e-09
0.5802171.6135594.619531e-09
0.5817051.6134294.631373e-09
0.5831971.61334.643246e-09
0.5846921.6131724.655149e-09
0.5861911.6130444.667082e-09
0.5876941.6129174.679047e-09
0.5892011.6127914.691042e-09
0.5907121.6126664.703067e-09
0.5922271.6125414.715124e-09
0.5937451.6124174.727211e-09
0.5952681.6122944.739330e-09
0.5967941.6121714.751479e-09
0.5983241.6120494.763660e-09
0.5998581.6119284.775872e-09
0.61.6119164.777000e-09
0.6013961.6118074.788117e-09
0.6029381.6116874.800395e-09
0.6044841.6115674.812704e-09
0.6060341.6114494.825045e-09
0.6075881.6113314.837417e-09
0.6091461.6112134.849821e-09
0.6107081.6110964.862257e-09
0.6122741.610984.874725e-09
0.6138441.6108644.887225e-09
0.6154181.610754.899757e-09
0.6169961.6106354.912320e-09
0.6185781.6105214.924917e-09
0.6201641.6104084.937545e-09
0.6217541.6102964.950206e-09
0.6233481.6101844.962899e-09
0.6249471.6100734.975625e-09
0.6265491.6099624.988383e-09
0.6281561.6098525.001174e-09
0.6297661.6097425.013998e-09
0.6313811.6096335.026855e-09
0.6331.6095255.039745e-09
0.6346231.6094175.052668e-09
0.636251.609315.065624e-09
0.6378821.6092035.078613e-09
0.6395171.6090975.091636e-09
0.6411571.6089915.104692e-09
0.6428011.6088865.117781e-09
0.6444491.6087825.130904e-09
0.6461021.6086785.144060e-09
0.6477581.6085745.157251e-09
0.6494191.6084715.170475e-09
0.651.6084365.175100e-09
0.6510841.6083695.183733e-09
0.6527541.6082675.197025e-09
0.6544271.6081665.210351e-09
0.6561051.6080655.223711e-09
0.6577881.6079655.237106e-09
0.6594741.6078655.250535e-09
0.6611651.6077665.263998e-09
0.6628611.6076675.277496e-09
0.664561.6075695.291029e-09
0.6662641.6074715.304596e-09
0.6679731.6073745.318198e-09
0.6696851.6072775.331834e-09
0.6714021.6071815.345506e-09
0.6731241.6070855.359213e-09
0.674851.606995.372955e-09
0.676581.6068955.386732e-09
0.6783151.6068015.400545e-09
0.6800541.6067075.414393e-09
0.6817981.6066135.428276e-09
0.6835461.606525.442195e-09
0.6852991.6064285.456150e-09
0.6870561.6063365.470141e-09
0.6888181.6062445.484167e-09
0.6905841.6061535.498230e-09
0.6923551.6060635.512328e-09
0.694131.6059725.526463e-09
0.695911.6058835.540633e-09
0.6976941.6057935.554841e-09
0.6994831.6057045.569084e-09
0.71.6056795.573200e-09
0.7012771.6056165.583364e-09
0.7030751.6055285.597681e-09
0.7048771.605445.612035e-09
0.7066851.6053535.626425e-09
0.7084971.6052665.640852e-09
0.7103131.605185.655316e-09
0.7121351.6050945.669817e-09
0.7139611.6050085.684356e-09
0.7157911.6049235.698931e-09
0.7176271.6048395.713544e-09
0.7194671.6047545.728195e-09
0.7213121.604675.742883e-09
0.7231611.6045875.757609e-09
0.7250151.6045045.772372e-09
0.7268741.6044215.787174e-09
0.7287381.6043395.802013e-09
0.7306071.6042575.816890e-09
0.732481.6041755.831806e-09
0.7343581.6040945.846760e-09
0.7362411.6040135.861752e-09
0.7381291.6039335.876782e-09
0.7400221.6038535.891851e-09
0.7419191.6037735.906959e-09
0.7438211.6036945.922106e-09
0.7457291.6036155.937291e-09
0.7476411.6035365.952515e-09
0.7495581.6034585.967778e-09
0.751481.603385.983081e-09
0.7534061.6033035.998422e-09
0.7553381.6032266.013803e-09
0.7572751.6031496.029224e-09
0.7592171.6030726.044684e-09
0.7611631.6029966.060183e-09
0.7631151.602926.075723e-09
0.7650721.6028456.091302e-09
0.7670341.602776.106921e-09
0.7691.6026956.122580e-09
0.7709721.6026216.138280e-09
0.7729491.6025476.154019e-09
0.7749311.6024736.169799e-09
0.7769181.6023996.185620e-09
0.778911.6023266.201481e-09
0.7809071.6022536.217382e-09
0.7829091.6021816.233325e-09
0.7849171.6021096.249308e-09
0.7869291.6020376.265332e-09
0.7889471.6019656.281398e-09
0.790971.6018946.297504e-09
0.7929981.6018236.313652e-09
0.7950321.6017536.329841e-09
0.797071.6016826.346072e-09
0.7991141.6016126.362344e-09
0.81.6015826.369400e-09
0.8011631.6015436.378658e-09
0.8032171.6014736.395014e-09
0.8052771.6014046.411412e-09
0.8073411.6013356.427852e-09
0.8094111.6012676.444334e-09
0.8114871.6011986.460859e-09
0.8135681.601136.477425e-09
0.8156541.6010636.494034e-09
0.8177451.6009956.510686e-09
0.8198421.6009286.527381e-09
0.8219441.6008616.544118e-09
0.8240521.6007956.560898e-09
0.8261641.6007286.577721e-09
0.8282831.6006626.594588e-09
0.8304071.6005976.611497e-09
0.8325361.6005316.628450e-09
0.8346711.6004666.645447e-09
0.8368111.6004016.662487e-09
0.8389561.6003366.679570e-09
0.8411081.6002726.696698e-09
0.8432641.6002076.713869e-09
0.8454261.6001446.731085e-09
0.8475941.600086.748344e-09
0.8497671.6000166.765648e-09
0.851.600016.767500e-09
0.8519461.5999536.782997e-09
0.8541311.599896.800389e-09
0.8563211.5998286.817826e-09
0.8585171.5997656.835309e-09
0.8607181.5997036.852835e-09
0.8629251.5996416.870407e-09
0.8651371.5995796.888024e-09
0.8673561.5995186.905686e-09
0.869581.5994566.923393e-09
0.8718091.5993956.941146e-09
0.8740451.5993346.958944e-09
0.8762861.5992746.976788e-09
0.8785331.5992136.994678e-09
0.8807851.5991537.012613e-09
0.8830441.5990937.030594e-09
0.8853081.5990347.048622e-09
0.8875781.5989747.066696e-09
0.8898541.5989157.084816e-09
0.8921351.5988567.102983e-09
0.8944231.5987977.121196e-09
0.8967161.5987387.139456e-09
0.8990161.598687.157762e-09
0.91.5986557.165600e-09
0.9013211.5986227.176113e-09
0.9036321.5985647.194509e-09
0.9059491.5985067.212953e-09
0.9082721.5984487.231443e-09
0.9106011.5983917.249981e-09
0.9129351.5983347.268566e-09
0.9152761.5982777.287200e-09
0.9176231.598227.305880e-09
0.9199761.5981637.324609e-09
0.9223351.5981077.343386e-09
0.92471.5980517.362211e-09
0.9270711.5979957.381084e-09
0.9294481.5979397.400006e-09
0.9318311.5978837.418976e-09
0.934221.5978287.437995e-09
0.9366161.5977727.457062e-09
0.9390171.5977177.476179e-09
0.9414251.5976627.495344e-09
0.9438391.5976087.514559e-09
0.9462591.5975537.533823e-09
0.9486851.5974997.553136e-09
0.951.5974697.563600e-09
0.9511181.5974447.572501e-09
0.9535571.597397.591918e-09
0.9560021.5973367.611386e-09
0.9584531.5972837.630903e-09
0.9609111.5972297.650470e-09
0.9633741.5971767.670087e-09
0.9658451.5971237.689754e-09
0.9683211.597077.709472e-09
0.9708041.5970177.729241e-09
0.9732931.5969647.749060e-09
0.9757891.5969117.768930e-09
0.9782911.5968597.788851e-09
0.9807991.5968077.808823e-09
0.9833141.5967547.828846e-09
0.9858351.5967027.848921e-09
0.9883631.5966517.869047e-09
0.9908971.5965997.889225e-09
0.9934381.5965477.909454e-09
0.9959851.5964967.929735e-09
0.9985391.5964457.950069e-09
11.5964167.961700e-09
1.00111.5963947.970454e-09
1.003671.5963437.990891e-09
1.006241.5962928.011380e-09
1.008821.5962418.031922e-09
1.011411.5961918.052516e-09
1.0141.596148.073163e-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
—