Optical constants

Refractive index of QF1 (CDGM)

QF1: n,k 0.365–0.7065 µm

Data
formula 3 + tabulated k
Range
0.365–0.7065 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–0.7065 µm
Refractive index n
1.5481
Extinction coefficient k
2.81403e-08
Permittivity ε1
2.39661
Permittivity ε2
8.71278e-08
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
45.886
Chromatic dispersion dn/dλ
-0.0609525 µm⁻¹
Group index ng
1.58391
Group velocity dispersion
113.856 fs²/mm
Dispersion parameter D
-621.146 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

# QF1 (CDGM): QF1
cdgm_qf1 = ls.fetch_refractiveindex("specs", "CDGM-optical", "QF1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_qf1.range_nm)  # (365, 706.5) nm
eps = cdgm_qf1.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=2.3504951−0.0086857021⁢λ2.0+0.016092857⁢λ−2.0+0.00018705912⁢λ−4.0+4.2149581×10-5⁢λ−6.0−1.3216062×10-6⁢λ−8.0

Valid from 0.365 to 0.7065 µm.

Coefficients as stored
CiValue
C12.3504951
C2-0.0086857021
C32.0
C40.016092857
C5-2.0
C60.00018705912
C7-4.0
C84.2149581e-05
C9-6.0
C10-1.3216062e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.548100
Vd
45.886233
glass code
548459
glass status
preferred
density
value: 2940
thermal expansion
value: 7.7e-06, temperature range: 243 343; value: 9.3e-06, temperature range: 293 573
dPgF
0.0013

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 413 wavelengths, the same grid as the API and the library
QF1 (CDGM), QF1: n and k versus wavelength
λ (µm)nk
0.3651.5793366.153700e-08
0.3656051.5791486.056279e-08
0.366211.5789615.958696e-08
0.3668171.5787755.860952e-08
0.3674251.5785895.763046e-08
0.3680331.5784055.664978e-08
0.3686431.5782215.566747e-08
0.3692541.5780385.468354e-08
0.3698651.5778565.369798e-08
0.371.5778165.348100e-08
0.3704781.5776755.340298e-08
0.3710921.5774955.330282e-08
0.3717071.5773155.320250e-08
0.3723221.5771365.310201e-08
0.3729391.5769585.300135e-08
0.3735571.5767815.290052e-08
0.3741761.5766055.279953e-08
0.3747961.576435.269837e-08
0.3754161.5762555.259704e-08
0.3760381.5760815.249555e-08
0.3766611.5759085.239389e-08
0.3772851.5757355.229205e-08
0.377911.5755645.219005e-08
0.3785361.5753935.208789e-08
0.3791631.5752235.198555e-08
0.3797911.5750545.188304e-08
0.381.5749985.184900e-08
0.3804211.5748855.124417e-08
0.3810511.5747175.033789e-08
0.3816821.574554.943010e-08
0.3823141.5743844.852082e-08
0.3829481.5742184.761002e-08
0.3835821.5740544.669772e-08
0.3842171.573894.578390e-08
0.3848541.5737264.486858e-08
0.3854911.5735644.395173e-08
0.386131.5734024.303337e-08
0.386771.5732414.211348e-08
0.387411.573084.119207e-08
0.3880521.5729214.026914e-08
0.3886951.5727623.934468e-08
0.3893391.5726033.841868e-08
0.3899841.5724463.749115e-08
0.391.5724423.746800e-08
0.390631.5722893.712298e-08
0.3912771.5721333.676856e-08
0.3919251.5719773.641355e-08
0.3925741.5718223.605796e-08
0.3932251.5716683.570177e-08
0.3938761.5715153.534500e-08
0.3945291.5713623.498763e-08
0.3951821.571213.462968e-08
0.3958371.5710593.427112e-08
0.3964931.5709083.391198e-08
0.3971491.5707583.355224e-08
0.3978071.5706083.319190e-08
0.3984661.570463.283097e-08
0.3991261.5703113.246944e-08
0.3997881.5701643.210731e-08
0.41.5701173.199100e-08
0.400451.5700173.202699e-08
0.4011131.5698713.208006e-08
0.4017781.5697253.213322e-08
0.4024431.569583.218647e-08
0.403111.5694363.223980e-08
0.4037781.5692933.229322e-08
0.4044471.569153.234673e-08
0.4051171.5690073.240033e-08
0.4057881.5688653.245402e-08
0.406461.5687243.250780e-08
0.4071331.5685843.256167e-08
0.4078081.5684443.261562e-08
0.4084831.5683043.266967e-08
0.409161.5681663.272380e-08
0.4098381.5680273.277803e-08
0.4105171.567893.283234e-08
0.4111971.5677533.288674e-08
0.4118781.5676173.294124e-08
0.412561.5674813.299582e-08
0.4132441.5673463.305050e-08
0.4139281.5672113.310526e-08
0.4146141.5670773.316012e-08
0.4153011.5669443.321507e-08
0.4159891.5668113.327010e-08
0.4166781.5666793.332523e-08
0.4173681.5665473.338045e-08
0.418061.5664163.343577e-08
0.4187521.5662853.349117e-08
0.4194461.5661553.354667e-08
0.421.5660523.359100e-08
0.4201411.5660253.360225e-08
0.4208371.5658973.365789e-08
0.4215341.5657683.371363e-08
0.4222321.565643.376946e-08
0.4229321.5655133.382538e-08
0.4236321.5653863.388139e-08
0.4243341.565263.393750e-08
0.4250371.5651343.399370e-08
0.4257411.5650093.404999e-08
0.4264461.5648853.410638e-08
0.4271531.564763.416286e-08
0.427861.5646373.421943e-08
0.4285691.5645143.427610e-08
0.4292791.5643913.433286e-08
0.429991.5642693.438972e-08
0.4307031.5641483.444667e-08
0.4314161.5640273.450371e-08
0.4321311.5639063.456085e-08
0.4328471.5637863.461808e-08
0.4335641.5636673.467541e-08
0.4342821.5635483.473283e-08
0.4350011.5634293.479035e-08
0.4357221.5633113.484796e-08
0.4364441.5631943.490567e-08
0.4371671.5630773.496347e-08
0.4378911.562963.502137e-08
0.4386161.5628443.507937e-08
0.4393431.5627293.513746e-08
0.441.5626253.519000e-08
0.4400711.5626143.518260e-08
0.44081.5624993.510620e-08
0.441531.5623853.502967e-08
0.4422611.5622713.495302e-08
0.4429941.5621583.487624e-08
0.4437281.5620463.479933e-08
0.4444631.5619333.472229e-08
0.4451991.5618213.464513e-08
0.4459371.561713.456784e-08
0.4466751.5615993.449042e-08
0.4474151.5614893.441288e-08
0.4481561.5613793.433520e-08
0.4488991.5612693.425740e-08
0.4496431.561163.417946e-08
0.4503871.5610523.410140e-08
0.4511331.5609443.402321e-08
0.4518811.5608363.394489e-08
0.4526291.5607293.386644e-08
0.4533791.5606223.378786e-08
0.454131.5605153.370915e-08
0.4548831.5604093.363031e-08
0.4556361.5603043.355133e-08
0.4563911.5601993.347223e-08
0.4571471.5600943.339300e-08
0.4579041.559993.331363e-08
0.4586631.5598863.323414e-08
0.4594231.5597833.315451e-08
0.461.5597043.309400e-08
0.4601841.559683.307184e-08
0.4609461.5595773.297986e-08
0.461711.5594753.288774e-08
0.4624741.5593733.279546e-08
0.4632411.5592723.270302e-08
0.4640081.5591713.261044e-08
0.4647771.559073.251770e-08
0.4655471.558973.242481e-08
0.4663181.558873.233176e-08
0.467091.5587713.223856e-08
0.4678641.5586723.214520e-08
0.4686391.5585743.205169e-08
0.4694151.5584753.195803e-08
0.4701931.5583783.186421e-08
0.4709721.558283.177023e-08
0.4717521.5581833.167610e-08
0.4725341.5580873.158182e-08
0.4733161.5579913.148737e-08
0.4741011.5578953.139277e-08
0.4748861.5577993.129802e-08
0.4756731.5577043.120310e-08
0.4764611.5576093.110803e-08
0.477251.5575153.101280e-08
0.478041.5574213.091742e-08
0.4788321.5573283.082187e-08
0.4796261.5572343.072617e-08
0.481.5571913.068100e-08
0.480421.5571423.062363e-08
0.4812161.5570493.051496e-08
0.4820131.5569573.040610e-08
0.4828121.5568653.029707e-08
0.4836111.5567743.018786e-08
0.4844131.5566833.007846e-08
0.4852151.5565922.996888e-08
0.4860191.5565022.985913e-08
0.4868241.5564122.974919e-08
0.487631.5563222.963906e-08
0.4884381.5562332.952876e-08
0.4892471.5561442.941827e-08
0.4900581.5560552.930760e-08
0.490871.5559672.919675e-08
0.4916831.5558792.908571e-08
0.4924971.5557922.897449e-08
0.4933131.5557042.886308e-08
0.494131.5556172.875149e-08
0.4949491.5555312.863972e-08
0.4957691.5554452.852776e-08
0.496591.5553592.841561e-08
0.4974131.5552732.830328e-08
0.4982371.5551882.819077e-08
0.4990621.5551032.807806e-08
0.4998891.5550182.796517e-08
0.51.5550072.795000e-08
0.5007171.5549342.792691e-08
0.5015461.554852.790020e-08
0.5023771.5547672.787345e-08
0.503211.5546832.784665e-08
0.5040431.55462.781981e-08
0.5048781.5545182.779292e-08
0.5057141.5544352.776599e-08
0.5065521.5543532.773902e-08
0.5073911.5542722.771200e-08
0.5082321.554192.768493e-08
0.5090741.5541092.765782e-08
0.5099171.5540282.763067e-08
0.5107621.5539482.760347e-08
0.5116081.5538682.757622e-08
0.5124561.5537882.754893e-08
0.5133041.5537082.752160e-08
0.5141551.5536292.749422e-08
0.5150061.553552.746679e-08
0.515861.5534712.743932e-08
0.5167141.5533932.741180e-08
0.517571.5533152.738424e-08
0.5184281.5532372.735663e-08
0.5192861.5531592.732898e-08
0.5201471.5530822.730128e-08
0.5210081.5530052.727353e-08
0.5218711.5529282.724574e-08
0.5227361.5528522.721790e-08
0.5236021.5527762.719002e-08
0.5244691.55272.716209e-08
0.5253381.5526252.713412e-08
0.5262081.5525492.710609e-08
0.527081.5524742.707802e-08
0.5279531.55242.704991e-08
0.5288281.5523252.702175e-08
0.5297041.5522512.699354e-08
0.5305811.5521772.696528e-08
0.531461.5521042.693698e-08
0.5323411.552032.690863e-08
0.5332221.5519572.688024e-08
0.5341061.5518842.685179e-08
0.5349911.5518122.682330e-08
0.5358771.551742.679477e-08
0.5367651.5516672.676618e-08
0.5376541.5515962.673755e-08
0.5385441.5515242.670887e-08
0.5394371.5514532.668014e-08
0.540331.5513822.665137e-08
0.5412251.5513112.662255e-08
0.5421221.5512412.659368e-08
0.543021.5511712.656476e-08
0.5439191.5511012.653579e-08
0.5448211.5510312.650678e-08
0.5457231.5509622.647772e-08
0.5466271.5508922.644861e-08
0.5475331.5508232.641945e-08
0.548441.5507552.639024e-08
0.5493481.5506862.636099e-08
0.551.5506372.634000e-08
0.5502581.5506182.635236e-08
0.551171.550552.639601e-08
0.5520831.5504822.643972e-08
0.5529971.5504152.648351e-08
0.5539131.5503482.652738e-08
0.5548311.5502812.657131e-08
0.555751.5502142.661532e-08
0.5566711.5501472.665940e-08
0.5575931.5500812.670355e-08
0.5585171.5500152.674778e-08
0.5594421.5499492.679208e-08
0.5603691.5498842.683645e-08
0.5612971.5498182.688090e-08
0.5622271.5497532.692542e-08
0.5631581.5496882.697001e-08
0.5640911.5496242.701468e-08
0.5650251.5495592.705942e-08
0.5659611.5494952.710424e-08
0.5668991.5494312.714913e-08
0.5678381.5493672.719409e-08
0.5687791.5493042.723913e-08
0.5697211.549242.728424e-08
0.5706651.5491772.732943e-08
0.571611.5491142.737470e-08
0.5725571.5490522.742003e-08
0.5735061.5489892.746545e-08
0.5744561.5489272.751094e-08
0.5754071.5488652.755650e-08
0.576361.5488032.760214e-08
0.5773151.5487412.764785e-08
0.5782721.548682.769365e-08
0.579231.5486192.773951e-08
0.5801891.5485582.778545e-08
0.581151.5484972.783147e-08
0.5821131.5484372.787757e-08
0.5830771.5483762.792374e-08
0.5840431.5483162.796999e-08
0.5850111.5482562.801631e-08
0.585981.5481962.806271e-08
0.5869511.5481372.810919e-08
0.5879231.5480782.815575e-08
0.5888971.5480192.820238e-08
0.5898721.547962.824909e-08
0.5908491.5479012.829587e-08
0.5918281.5478422.834274e-08
0.5928091.5477842.838968e-08
0.5937911.5477262.843670e-08
0.5947741.5476682.848380e-08
0.595761.547612.853097e-08
0.5967471.5475532.857823e-08
0.5977351.5474952.862556e-08
0.5987251.5474382.867297e-08
0.5997171.5473812.872046e-08
0.61.5473652.873400e-08
0.6007111.5473252.876804e-08
0.6017061.5472682.881571e-08
0.6027031.5472122.886345e-08
0.6037011.5471552.891128e-08
0.6047011.5470992.895918e-08
0.6057031.5470432.900716e-08
0.6067061.5469882.905522e-08
0.6077111.5469322.910337e-08
0.6087181.5468772.915159e-08
0.6097261.5468222.919989e-08
0.6107361.5467672.924827e-08
0.6117481.5467122.929673e-08
0.6127611.5466582.934528e-08
0.6137771.5466032.939390e-08
0.6147931.5465492.944260e-08
0.6158121.5464952.949138e-08
0.6168321.5464412.954025e-08
0.6178541.5463882.958919e-08
0.6188771.5463342.963822e-08
0.6199021.5462812.968733e-08
0.6209291.5462282.973652e-08
0.6219581.5461752.978579e-08
0.6229881.5461222.983514e-08
0.624021.5460692.988458e-08
0.6250541.5460172.993409e-08
0.626091.5459642.998369e-08
0.6271271.5459123.003337e-08
0.6281661.545863.008313e-08
0.6292061.5458093.013298e-08
0.6302491.5457573.018290e-08
0.6312931.5457053.023291e-08
0.6323381.5456543.028301e-08
0.6333861.5456033.033318e-08
0.6344351.5455523.038344e-08
0.6354861.5455013.043378e-08
0.6365391.5454513.048421e-08
0.6375931.54543.053472e-08
0.638651.545353.058531e-08
0.6397081.54533.063599e-08
0.6407671.545253.068675e-08
0.6418291.54523.073759e-08
0.6428921.545153.078852e-08
0.6439571.54513.083954e-08
0.6450241.5450513.089064e-08
0.6460921.5450023.094182e-08
0.6471631.5449533.099309e-08
0.6482351.5449043.104444e-08
0.6493081.5448553.109587e-08
0.651.5448243.112900e-08
0.6503841.5448063.114739e-08
0.6514611.5447583.119898e-08
0.6525411.544713.125065e-08
0.6536221.5446613.130240e-08
0.6547041.5446133.135425e-08
0.6557891.5445653.140618e-08
0.6568751.5445183.145819e-08
0.6579641.544473.151029e-08
0.6590531.5444233.156248e-08
0.6601451.5443753.161475e-08
0.6612391.5443283.166712e-08
0.6623341.5442813.171956e-08
0.6634311.5442343.177210e-08
0.664531.5441883.182472e-08
0.6656311.5441413.187743e-08
0.6667341.5440953.193022e-08
0.6678381.5440483.198311e-08
0.6689451.5440023.203608e-08
0.6700531.5439563.208913e-08
0.6711631.543913.214228e-08
0.6722751.5438643.219552e-08
0.6733881.5438193.224884e-08
0.6745041.5437733.230225e-08
0.6756211.5437283.235575e-08
0.6767411.5436833.240934e-08
0.6778621.5436383.246301e-08
0.6789851.5435933.251678e-08
0.6801091.5435483.257063e-08
0.6812361.5435033.262458e-08
0.6823641.5434593.267861e-08
0.6834951.5434143.273273e-08
0.6846271.543373.278695e-08
0.6857611.5433263.284125e-08
0.6868971.5432823.289564e-08
0.6880351.5432383.295012e-08
0.6891751.5431943.300470e-08
0.6903171.5431513.305936e-08
0.691461.5431073.311411e-08
0.6926061.5430643.316896e-08
0.6937531.5430213.322389e-08
0.6949021.5429773.327892e-08
0.6960531.5429343.333404e-08
0.6972061.5428923.338925e-08
0.6983611.5428493.344455e-08
0.6995181.5428063.349994e-08
0.71.5427883.352300e-08
0.7006771.5427643.355543e-08
0.7018381.5427213.361101e-08
0.7031.5426793.366669e-08
0.7041651.5426373.372246e-08
0.7053321.5425953.377833e-08
0.70651.5425533.383428e-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
—