Optical constants

Refractive index of QF50 (CDGM)

QF50: n,k 0.313–2.325 µm

Data
formula 2 + tabulated k
Range
0.313–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.313–2.325 µm
Refractive index n
1.58144
Extinction coefficient k
2.34385e-08
Permittivity ε1
2.50094
Permittivity ε2
7.41330e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
40.886
Chromatic dispersion dn/dλ
-0.0724199 µm⁻¹
Group index ng
1.62399
Group velocity dispersion
137.656 fs²/mm
Dispersion parameter D
-750.988 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

# QF50 (CDGM): QF50
cdgm_qf50 = ls.fetch_refractiveindex("specs", "CDGM-optical", "QF50", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_qf50.range_nm)  # (313, 2325) nm
eps = cdgm_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=1.31145759λ2λ2−0.00988576985+0.840047425λ2λ2−102.880258+0.132407269λ2λ2−0.047752793

Valid from 0.313 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.31145759
C30.00988576985
C40.840047425
C5102.880258
C60.132407269
C70.047752793

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.74e-06 1.64e-08 -5.12e-11 8.26e-07 4.87e-10 0.234
nd
1.581440
Vd
40.885954
glass code
581409
density
value: 3230
thermal expansion
value: 9e-06, temperature range: 243 343; value: 1.11e-05, temperature range: 293 573
dPgF
-0.0018
resistance
climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.66e-07 K⁻¹ at 633 nm, dn/dT = -1.03e-06 K⁻¹ at 1310 nm, dn/dT = -1.10e-06 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 430 wavelengths, the same grid as the API and the library
QF50 (CDGM), QF50: n and k versus wavelength
λ (µm)nk
0.3131.6480797.625870e-06
0.3145771.6468416.561525e-06
0.3161621.645635.491818e-06
0.3177551.6444444.416720e-06
0.3193561.6432823.336206e-06
0.321.6428232.901500e-06
0.3209651.6421442.704764e-06
0.3225821.6410292.375055e-06
0.3242071.6399362.043685e-06
0.3258411.6388641.710645e-06
0.3274831.6378131.375927e-06
0.3291331.6367831.039523e-06
0.331.6362518.626700e-07
0.3307911.6357718.188990e-07
0.3324581.6347797.266579e-07
0.3341331.6338066.339522e-07
0.3358161.632855.407793e-07
0.3375081.6319114.471370e-07
0.3392091.630993.530229e-07
0.341.6305683.092200e-07
0.3409181.6300852.939546e-07
0.3426351.6291952.653793e-07
0.3443621.6283222.366600e-07
0.3460971.6274642.077961e-07
0.347841.626621.787867e-07
0.3495931.6257911.496311e-07
0.351.6256011.428600e-07
0.3513541.6249761.345305e-07
0.3531251.6241741.236432e-07
0.3549041.6233861.127011e-07
0.3566921.6226111.017038e-07
0.3584891.6218499.065109e-08
0.361.621228.135900e-08
0.3602951.6210988.062429e-08
0.3621111.6203617.610816e-08
0.3639351.6196347.156928e-08
0.3657691.618926.700753e-08
0.3676121.6182166.242279e-08
0.3694641.6175245.781496e-08
0.371.6173265.648100e-08
0.3713251.6168435.545959e-08
0.3731961.6161715.401770e-08
0.3750761.6155115.256854e-08
0.3769661.614865.111209e-08
0.3788661.6142194.964829e-08
0.381.6138434.877400e-08
0.3807741.6135884.789839e-08
0.3826931.6129664.572935e-08
0.3846211.6123544.354937e-08
0.3865591.611754.135841e-08
0.3885071.6111563.915641e-08
0.391.6107083.746800e-08
0.3904641.610573.706472e-08
0.3924311.6099923.535513e-08
0.3944091.6094233.363692e-08
0.3963961.6088623.191006e-08
0.3983931.6083093.017449e-08
0.41.6078722.877800e-08
0.40041.6077642.880678e-08
0.4024181.6072272.895183e-08
0.4044451.6066972.909761e-08
0.4064831.6061742.924412e-08
0.4085311.6056592.939137e-08
0.4105891.6051512.953937e-08
0.4126581.6046492.968811e-08
0.4147371.6041552.983760e-08
0.4168271.6036682.998784e-08
0.4189271.6031873.013884e-08
0.421.6029443.021600e-08
0.4210381.6027123.010747e-08
0.4231591.6022442.988557e-08
0.4252911.6017822.966256e-08
0.4274341.6013262.943843e-08
0.4295871.6008772.921316e-08
0.4317521.6004332.898676e-08
0.4339271.5999952.875922e-08
0.4361131.5995632.853054e-08
0.4383111.5991362.830070e-08
0.441.5988132.812400e-08
0.4405191.5987152.806145e-08
0.4427391.5982992.779400e-08
0.4449691.5978892.752520e-08
0.4472111.5974842.725505e-08
0.4494641.5970842.698353e-08
0.4517291.5966892.671065e-08
0.4540051.5962992.643639e-08
0.4562921.5959142.616075e-08
0.4585911.5955342.588373e-08
0.461.5953042.571400e-08
0.4609021.5951592.576442e-08
0.4632241.5947882.589424e-08
0.4655581.5944222.602470e-08
0.4679041.594062.615582e-08
0.4702611.5937032.628761e-08
0.4726311.593352.642005e-08
0.4750121.5930022.655317e-08
0.4774051.5926582.668695e-08
0.4798111.5923172.682141e-08
0.481.5922912.683200e-08
0.4822281.5919812.651037e-08
0.4846581.591652.615965e-08
0.48711.5913222.580717e-08
0.4895541.5909982.545290e-08
0.492021.5906772.509685e-08
0.4944991.5903612.473901e-08
0.4969911.5900482.437936e-08
0.4994951.5897392.401791e-08
0.51.5896782.394500e-08
0.5020121.5894342.386430e-08
0.5045411.5891322.376282e-08
0.5070831.5888342.366083e-08
0.5096381.5885392.355833e-08
0.5122061.5882482.345531e-08
0.5147861.587962.335177e-08
0.517381.5876762.324771e-08
0.5199871.5873942.314313e-08
0.5226071.5871162.303802e-08
0.525241.5868412.293238e-08
0.5278861.5865692.282621e-08
0.5305461.58632.271950e-08
0.5332191.5860342.261226e-08
0.5359061.5857722.250447e-08
0.5386061.5855122.239614e-08
0.5413191.5852552.228727e-08
0.5440471.5850012.217785e-08
0.5467881.584752.206787e-08
0.5495431.5845012.195734e-08
0.551.584462.193900e-08
0.5523121.5842552.203119e-08
0.5550941.5840122.214216e-08
0.5578911.5837722.225370e-08
0.5607021.5835342.236580e-08
0.5635271.5832992.247846e-08
0.5663661.5830662.259169e-08
0.569221.5828362.270549e-08
0.5720881.5826092.281986e-08
0.574971.5823832.293481e-08
0.5778671.5821612.305034e-08
0.5807791.581942.316645e-08
0.5837051.5817222.328315e-08
0.5866461.5815072.340044e-08
0.5896021.5812932.351831e-08
0.5925721.5810822.363678e-08
0.5955581.5808732.375585e-08
0.5985581.5806662.387551e-08
0.61.5805682.393300e-08
0.6015741.5804612.399581e-08
0.6046051.5802592.411675e-08
0.6076511.5800582.423829e-08
0.6107131.579862.436045e-08
0.613791.5796642.448322e-08
0.6168831.5794692.460662e-08
0.6199911.5792772.473063e-08
0.6231141.5790862.485527e-08
0.6262541.5788982.498053e-08
0.6294091.5787112.510643e-08
0.632581.5785272.523296e-08
0.6357681.5783442.536013e-08
0.6389711.5781632.548794e-08
0.642191.5779832.561639e-08
0.6454261.5778062.574549e-08
0.6486781.577632.587525e-08
0.651.577562.592800e-08
0.6519461.5774562.578780e-08
0.6552311.5772842.555117e-08
0.6585321.5771132.531334e-08
0.661851.5769442.507432e-08
0.6651851.5767772.483409e-08
0.6685361.5766112.459265e-08
0.6719051.5764472.434999e-08
0.675291.5762842.410611e-08
0.6786921.5761232.386101e-08
0.6821121.5759642.361466e-08
0.6855491.5758062.336708e-08
0.6890031.5756492.311825e-08
0.6924741.5754942.286817e-08
0.6959631.575342.261682e-08
0.699471.5751882.236421e-08
0.71.5751652.232600e-08
0.7029941.5750372.242150e-08
0.7065361.5748882.253449e-08
0.7100961.5747392.264805e-08
0.7136731.5745932.276218e-08
0.7172691.5744472.287688e-08
0.7208831.5743032.299217e-08
0.7245151.574162.310803e-08
0.7281651.5740182.322448e-08
0.7318341.5738782.334151e-08
0.7355221.5737392.345914e-08
0.7392271.5736012.357735e-08
0.7429521.5734642.369616e-08
0.7466951.5733292.381558e-08
0.7504571.5731942.393559e-08
0.7542381.5730612.405621e-08
0.7580391.5729292.417743e-08
0.7618581.5727982.429927e-08
0.7656961.5726682.442172e-08
0.7695541.5725392.454478e-08
0.7734321.5724112.466847e-08
0.7773281.5722842.479278e-08
0.7812451.5721582.491771e-08
0.7851811.5720342.504328e-08
0.7891371.571912.516948e-08
0.7931131.5717872.529631e-08
0.7971091.5716652.542378e-08
0.81.5715782.551600e-08
0.8011251.5715442.539912e-08
0.8051621.5714242.497990e-08
0.8092181.5713052.455857e-08
0.8132961.5711872.413512e-08
0.8173931.571072.370953e-08
0.8215121.5709542.328180e-08
0.8256511.5708382.285191e-08
0.8298111.5707242.241986e-08
0.8339921.570612.198563e-08
0.8381941.5704972.154921e-08
0.8424171.5703852.111059e-08
0.8466611.5702742.066977e-08
0.851.5701872.032300e-08
0.8509271.5701632.021203e-08
0.8552141.5700531.969884e-08
0.8595231.5699441.918307e-08
0.8638541.5698361.866469e-08
0.8682061.5697291.814371e-08
0.8725811.5696221.762009e-08
0.8769771.5695161.709384e-08
0.8813961.569411.656494e-08
0.8858361.5693061.603338e-08
0.89031.5692021.549913e-08
0.8947851.5690981.496220e-08
0.8992941.5689961.442256e-08
0.91.568981.433800e-08
0.9038251.5688941.439896e-08
0.9083781.5687921.447155e-08
0.9129551.5686911.454451e-08
0.9175551.5685911.461783e-08
0.9221781.5684911.469152e-08
0.9268241.5683921.476558e-08
0.9314941.5682941.484001e-08
0.9361871.5681961.491483e-08
0.9409041.5680981.499001e-08
0.9456451.5680011.506558e-08
0.951.5679131.513500e-08
0.9504091.5679051.514152e-08
0.9551981.5678091.521775e-08
0.9600111.5677141.529437e-08
0.9648471.5676191.537137e-08
0.9697091.5675251.544876e-08
0.9745951.5674311.552654e-08
0.9795051.5673371.560472e-08
0.984441.5672441.568329e-08
0.98941.5671521.576225e-08
0.9943851.567061.584161e-08
0.9993951.5669681.592137e-08
11.5669571.593100e-08
1.004431.5668761.600159e-08
1.009491.5667861.608223e-08
1.014581.5666951.616327e-08
1.019691.5666051.624472e-08
1.024831.5665151.632657e-08
1.029991.5664251.640885e-08
1.035181.5663361.649153e-08
1.04041.5662481.657463e-08
1.045641.5661591.665816e-08
1.050911.5660711.674210e-08
1.05621.5659831.682646e-08
1.061.5659211.688700e-08
1.061521.5658961.691126e-08
1.066871.5658081.699649e-08
1.072251.5657211.708215e-08
1.077651.5656351.716824e-08
1.083081.5655481.725476e-08
1.088531.5654621.734172e-08
1.094021.5653761.742912e-08
1.099531.565291.751696e-08
1.105071.5652051.760524e-08
1.110641.5651191.769397e-08
1.116231.5650341.778314e-08
1.121861.5649491.787277e-08
1.127511.5648641.796284e-08
1.133191.564781.805337e-08
1.13891.5646951.814435e-08
1.144641.5646111.823580e-08
1.150411.5645271.832770e-08
1.15621.5644431.842007e-08
1.162031.5643591.851290e-08
1.167881.5642751.860620e-08
1.173771.5641911.869997e-08
1.179681.5641081.879421e-08
1.185631.5640241.888893e-08
1.19161.5639411.898412e-08
1.19761.5638581.907980e-08
1.21.5638241.911800e-08
1.203641.5637741.917593e-08
1.20971.5636911.927254e-08
1.21581.5636081.936963e-08
1.221921.5635251.946721e-08
1.228081.5634421.956528e-08
1.234271.5633581.966385e-08
1.240481.5632751.976292e-08
1.246731.5631921.986248e-08
1.253021.5631091.996254e-08
1.259331.5630262.006311e-08
1.265671.5629432.016419e-08
1.272051.5628592.026577e-08
1.278461.5627762.036787e-08
1.28491.5626932.047048e-08
1.291381.5626092.057361e-08
1.297881.5625262.067726e-08
1.304421.5624422.078143e-08
1.310991.5623582.088612e-08
1.31761.5622752.099135e-08
1.324241.5621912.109710e-08
1.330911.5621072.120338e-08
1.337611.5620222.131021e-08
1.344351.5619382.141756e-08
1.351131.5618542.152547e-08
1.357941.5617692.163391e-08
1.364781.5616842.174290e-08
1.371651.5615992.185244e-08
1.378561.5615142.196253e-08
1.385511.5614282.207318e-08
1.392491.5613432.218438e-08
1.399511.5612572.229614e-08
1.41.5612512.230400e-08
1.406561.5611712.366537e-08
1.413641.5610852.513652e-08
1.420771.5609982.661508e-08
1.427931.5609112.810109e-08
1.435121.5608242.959458e-08
1.442351.5607373.109561e-08
1.449621.5606493.260419e-08
1.456921.5605613.412038e-08
1.464261.5604733.564420e-08
1.471641.5603853.717570e-08
1.479051.5602963.871492e-08
1.486511.5602064.026189e-08
1.4941.5601174.181666e-08
1.501521.5600274.337926e-08
1.509091.5599374.494974e-08
1.516691.5598464.652812e-08
1.524331.5597554.811446e-08
1.532011.5596634.970879e-08
1.539731.5595725.131116e-08
1.547491.5594795.292160e-08
1.555291.5593875.454015e-08
1.563121.5592935.616685e-08
1.5711.55925.780176e-08
1.578911.5591065.944490e-08
1.586871.5590116.109632e-08
1.594871.5589166.275606e-08
1.61.5588556.382200e-08
1.60291.5588217.072886e-08
1.610981.5587258.995865e-08
1.619091.5586281.092853e-07
1.627251.5585311.287094e-07
1.635451.5584331.482313e-07
1.643691.5583351.678516e-07
1.651971.5582361.875707e-07
1.660291.5581372.073892e-07
1.668661.5580372.273076e-07
1.677071.5579372.473263e-07
1.685521.5578362.674458e-07
1.694011.5577342.876668e-07
1.702541.5576323.079896e-07
1.711121.5575293.284148e-07
1.719741.5574253.489429e-07
1.728411.5573213.695744e-07
1.737121.5572163.903099e-07
1.745871.557114.111499e-07
1.754671.5570044.320949e-07
1.763511.5568964.531454e-07
1.772391.5567894.743019e-07
1.781321.556684.955651e-07
1.79031.5565715.169354e-07
1.799321.5564615.384133e-07
1.81.5564525.400400e-07
1.808381.556355.788535e-07
1.817491.5562386.210418e-07
1.826651.5561256.634426e-07
1.835851.5560127.060571e-07
1.84511.5558987.488862e-07
1.85441.5557837.919312e-07
1.863741.5556678.351930e-07
1.873131.555558.786728e-07
1.882571.5554339.223717e-07
1.892061.5553149.662907e-07
1.901591.5551951.010431e-06
1.911171.5550741.054794e-06
1.92081.5549531.099380e-06
1.930481.5548311.144191e-06
1.94021.5547071.189228e-06
1.949981.5545831.234491e-06
1.95981.5544581.279983e-06
1.969681.5543311.325704e-06
1.97961.5542041.371655e-06
1.989581.5540751.417837e-06
1.99961.5539461.464253e-06
21.5539411.466100e-06
2.009681.5538151.552989e-06
2.01981.5536831.643917e-06
2.029981.5535511.735302e-06
2.040211.5534171.827148e-06
2.050491.5532811.919457e-06
2.060821.5531452.012230e-06
2.07121.5530082.105472e-06
2.081641.5528692.199183e-06
2.092121.5527292.293366e-06
2.102661.5525882.388023e-06
2.113261.5524452.483158e-06
2.123911.5523012.578772e-06
2.134611.5521562.674867e-06
2.145361.552012.771447e-06
2.156171.5518622.868514e-06
2.167031.5517132.966069e-06
2.177951.5515633.064116e-06
2.188931.5514113.162657e-06
2.199951.5512573.261695e-06
2.21.5512573.262100e-06
2.211041.5511033.357566e-06
2.222181.5509463.453906e-06
2.233381.5507893.550731e-06
2.244631.550633.648043e-06
2.255941.5504693.745846e-06
2.26731.5503073.844142e-06
2.278731.5501433.942933e-06
2.290211.5499774.042222e-06
2.301751.549814.142011e-06
2.313341.5496424.242303e-06
2.3251.5494714.343100e-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
—