Optical constants

Refractive index of QF3 (CDGM)

QF3: 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
1.57502
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.4807
Permittivity ε2
1.47369e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
41.297
Chromatic dispersion dn/dλ
-0.0709553 µm⁻¹
Group index ng
1.61672
Group velocity dispersion
134.188 fs²/mm
Dispersion parameter D
-732.068 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

# QF3 (CDGM): QF3
cdgm_qf3 = ls.fetch_refractiveindex("specs", "CDGM-optical", "QF3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_qf3.range_nm)  # (365, 706.5) nm
eps = cdgm_qf3.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=2.4245509−0.0079714057⁢λ2.0+0.019149892⁢λ−2.0+0.00035505098⁢λ−4.0+1.3941882×10-5⁢λ−6.0+1.705772×10-6⁢λ−8.0

Valid from 0.365 to 0.7065 µm.

Coefficients as stored
CiValue
C12.4245509
C2-0.0079714057
C32.0
C40.019149892
C5-2.0
C60.00035505098
C7-4.0
C81.3941882e-05
C9-6.0
C101.705772e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.575026
Vd
41.296920
glass code
575413
glass status
preferred
density
value: 3180
thermal expansion
value: 9.3e-06, temperature range: 243 343; value: 1.14e-05, temperature range: 293 573
dPgF
-0.001

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
QF3 (CDGM), QF3: n and k versus wavelength
λ (µm)nk
0.3651.6124.668400e-08
0.3656051.6117714.497683e-08
0.366211.6115424.326684e-08
0.3668171.6113154.155401e-08
0.3674251.6110893.983835e-08
0.3680331.6108643.811984e-08
0.3686431.6106413.639849e-08
0.3692541.6104183.467428e-08
0.3698651.6101973.294722e-08
0.371.6101483.256700e-08
0.3704781.6099763.217128e-08
0.3710921.6097573.166324e-08
0.3717071.6095393.115435e-08
0.3723221.6093223.064463e-08
0.3729391.6091063.013406e-08
0.3735571.6088922.962264e-08
0.3741761.6086782.911038e-08
0.3747961.6084652.859727e-08
0.3754161.6082542.808331e-08
0.3760381.6080432.756849e-08
0.3766611.6078342.705283e-08
0.3772851.6076262.653631e-08
0.377911.6074182.601893e-08
0.3785361.6072122.550070e-08
0.3791631.6070072.498161e-08
0.3797911.6068032.446166e-08
0.381.6067352.428900e-08
0.3804211.60662.379062e-08
0.3810511.6063972.304384e-08
0.3816821.6061962.229582e-08
0.3823141.6059962.154656e-08
0.3829481.6057972.079606e-08
0.3835821.6055992.004432e-08
0.3842171.6054011.929134e-08
0.3848541.6052051.853710e-08
0.3854911.605011.778162e-08
0.386131.6048151.702488e-08
0.386771.6046221.626690e-08
0.387411.6044291.550765e-08
0.3880521.6042381.474715e-08
0.3886951.6040471.398539e-08
0.3893391.6038581.322236e-08
0.3899841.6036691.245808e-08
0.391.6036641.243900e-08
0.390631.6034811.225787e-08
0.3912771.6032941.207180e-08
0.3919251.6031081.188542e-08
0.3925741.6029231.169873e-08
0.3932251.6027381.151174e-08
0.3938761.6025551.132443e-08
0.3945291.6023721.113682e-08
0.3951821.6021911.094889e-08
0.3958371.602011.076065e-08
0.3964931.601831.057211e-08
0.3971491.6016511.038324e-08
0.3978071.6014731.019407e-08
0.3984661.6012951.000458e-08
0.3991261.6011199.814779e-09
0.3997881.6009439.624663e-09
0.41.6008879.563600e-09
0.400451.6007689.423683e-09
0.4011131.6005949.217384e-09
0.4017781.6004219.010743e-09
0.4024431.6002488.803759e-09
0.403111.6000768.596432e-09
0.4037781.5999068.388762e-09
0.4044471.5997358.180748e-09
0.4051171.5995667.972390e-09
0.4057881.5993987.763686e-09
0.406461.599237.554637e-09
0.4071331.5990637.345241e-09
0.4078081.5988977.135498e-09
0.4084831.5987316.925408e-09
0.409161.5985676.714970e-09
0.4098381.5984036.504183e-09
0.4105171.598246.293047e-09
0.4111971.5980776.081562e-09
0.4118781.5979165.869726e-09
0.412561.5977555.657539e-09
0.4132441.5975945.445000e-09
0.4139281.5974355.232110e-09
0.4146141.5972765.018867e-09
0.4153011.5971184.805270e-09
0.4159891.5969614.591320e-09
0.4166781.5968044.377015e-09
0.4173681.5966484.162355e-09
0.418061.5964933.947340e-09
0.4187521.5963393.731969e-09
0.4194461.5961853.516240e-09
0.421.5960633.343900e-09
0.4201411.5960323.345020e-09
0.4208371.5958793.350564e-09
0.4215341.5957283.356117e-09
0.4222321.5955763.361679e-09
0.4229321.5954263.367250e-09
0.4236321.5952763.372830e-09
0.4243341.5951273.378420e-09
0.4250371.5949793.384019e-09
0.4257411.5948313.389627e-09
0.4264461.5946843.395245e-09
0.4271531.5945383.400871e-09
0.427861.5943923.406508e-09
0.4285691.5942473.412153e-09
0.4292791.5941023.417808e-09
0.429991.5939583.423472e-09
0.4307031.5938153.429145e-09
0.4314161.5936723.434828e-09
0.4321311.593533.440521e-09
0.4328471.5933893.446223e-09
0.4335641.5932483.451934e-09
0.4342821.5931083.457655e-09
0.4350011.5929683.463385e-09
0.4357221.5928293.469124e-09
0.4364441.5926913.474874e-09
0.4371671.5925533.480632e-09
0.4378911.5924163.486400e-09
0.4386161.5922793.492178e-09
0.4393431.5921433.497966e-09
0.441.5920213.503200e-09
0.4400711.5920083.503762e-09
0.44081.5918733.509565e-09
0.441531.5917393.515378e-09
0.4422611.5916053.521200e-09
0.4429941.5914723.527032e-09
0.4437281.5913393.532873e-09
0.4444631.5912073.538724e-09
0.4451991.5910763.544585e-09
0.4459371.5909453.550456e-09
0.4466751.5908153.556336e-09
0.4474151.5906853.562226e-09
0.4481561.5905563.568126e-09
0.4488991.5904273.574035e-09
0.4496431.5902993.579955e-09
0.4503871.5901713.585884e-09
0.4511331.5900443.591823e-09
0.4518811.5899183.597771e-09
0.4526291.5897923.603730e-09
0.4533791.5896663.609699e-09
0.454131.5895413.615677e-09
0.4548831.5894173.621665e-09
0.4556361.5892933.627664e-09
0.4563911.589173.633672e-09
0.4571471.5890473.639690e-09
0.4579041.5889253.645718e-09
0.4586631.5888033.651756e-09
0.4594231.5886813.657804e-09
0.461.588593.662400e-09
0.4601841.588563.663862e-09
0.4609461.588443.669930e-09
0.461711.588323.676008e-09
0.4624741.5882013.682097e-09
0.4632411.5880823.688195e-09
0.4640081.5879643.694303e-09
0.4647771.5878463.700422e-09
0.4655471.5877283.706551e-09
0.4663181.5876113.712690e-09
0.467091.5874953.718839e-09
0.4678641.5873793.724998e-09
0.4686391.5872633.731167e-09
0.4694151.5871483.737347e-09
0.4701931.5870343.743537e-09
0.4709721.586923.749737e-09
0.4717521.5868063.755947e-09
0.4725341.5866933.762168e-09
0.4733161.586583.768399e-09
0.4741011.5864683.774640e-09
0.4748861.5863563.780892e-09
0.4756731.5862453.787154e-09
0.4764611.5861343.793426e-09
0.477251.5860233.799709e-09
0.478041.5859133.806002e-09
0.4788321.5858043.812306e-09
0.4796261.5856943.818620e-09
0.481.5856433.821600e-09
0.480421.5855863.824946e-09
0.4812161.5854773.831285e-09
0.4820131.5853693.837635e-09
0.4828121.5852623.843995e-09
0.4836111.5851553.850365e-09
0.4844131.5850483.856746e-09
0.4852151.5849423.863138e-09
0.4860191.5848373.869540e-09
0.4868241.5847313.875953e-09
0.487631.5846263.882376e-09
0.4884381.5845223.888811e-09
0.4892471.5844183.895255e-09
0.4900581.5843143.901711e-09
0.490871.5842113.908177e-09
0.4916831.5841083.914654e-09
0.4924971.5840053.921141e-09
0.4933131.5839033.927640e-09
0.494131.5838023.934149e-09
0.4949491.5837013.940668e-09
0.4957691.58363.947199e-09
0.496591.5834993.953741e-09
0.4974131.5833993.960293e-09
0.4982371.5832993.966856e-09
0.4990621.58323.973430e-09
0.4998891.5831013.980015e-09
0.51.5830883.980900e-09
0.5007171.5830033.986609e-09
0.5015461.5829043.993213e-09
0.5023771.5828073.999828e-09
0.503211.5827094.006454e-09
0.5040431.5826124.013092e-09
0.5048781.5825164.019740e-09
0.5057141.5824194.026399e-09
0.5065521.5823234.033069e-09
0.5073911.5822284.039750e-09
0.5082321.5821334.046443e-09
0.5090741.5820384.053146e-09
0.5099171.5819434.059860e-09
0.5107621.5818494.066586e-09
0.5116081.5817564.073323e-09
0.5124561.5816624.080071e-09
0.5133041.5815694.086830e-09
0.5141551.5814774.093600e-09
0.5150061.5813844.100382e-09
0.515861.5812924.107174e-09
0.5167141.5812014.113978e-09
0.517571.5811094.120794e-09
0.5184281.5810194.127620e-09
0.5192861.5809284.134458e-09
0.5201471.5808384.141307e-09
0.5210081.5807484.148168e-09
0.5218711.5806584.155040e-09
0.5227361.5805694.161923e-09
0.5236021.580484.168818e-09
0.5244691.5803924.175724e-09
0.5253381.5803034.182641e-09
0.5262081.5802154.189570e-09
0.527081.5801284.196511e-09
0.5279531.5800414.203463e-09
0.5288281.5799544.210426e-09
0.5297041.5798674.217401e-09
0.5305811.5797814.224388e-09
0.531461.5796954.231386e-09
0.5323411.5796094.238396e-09
0.5332221.5795244.245417e-09
0.5341061.5794394.252450e-09
0.5349911.5793544.259495e-09
0.5358771.579274.266551e-09
0.5367651.5791864.273619e-09
0.5376541.5791024.280699e-09
0.5385441.5790194.287791e-09
0.5394371.5789354.294894e-09
0.540331.5788534.302009e-09
0.5412251.578774.309136e-09
0.5421221.5786884.316274e-09
0.543021.5786064.323425e-09
0.5439191.5785244.330587e-09
0.5448211.5784434.337761e-09
0.5457231.5783624.344947e-09
0.5466271.5782814.352145e-09
0.5475331.5782014.359355e-09
0.548441.5781214.366576e-09
0.5493481.5780414.373810e-09
0.551.5779844.379000e-09
0.5502581.5779614.381055e-09
0.551171.5778824.388311e-09
0.5520831.5778034.395579e-09
0.5529971.5777244.402859e-09
0.5539131.5776464.410151e-09
0.5548311.5775684.417455e-09
0.555751.577494.424771e-09
0.5566711.5774124.432099e-09
0.5575931.5773354.439440e-09
0.5585171.5772584.446793e-09
0.5594421.5771814.454157e-09
0.5603691.5771054.461534e-09
0.5612971.5770284.468923e-09
0.5622271.5769524.476325e-09
0.5631581.5768774.483739e-09
0.5640911.5768014.491165e-09
0.5650251.5767264.498603e-09
0.5659611.5766514.506054e-09
0.5668991.5765774.513516e-09
0.5678381.5765024.520992e-09
0.5687791.5764284.528479e-09
0.5697211.5763554.535980e-09
0.5706651.5762814.543492e-09
0.571611.5762084.551017e-09
0.5725571.5761354.558555e-09
0.5735061.5760624.566104e-09
0.5744561.5759894.573667e-09
0.5754071.5759174.581242e-09
0.576361.5758454.588829e-09
0.5773151.5757734.596429e-09
0.5782721.5757024.604042e-09
0.579231.5756314.611667e-09
0.5801891.575564.619305e-09
0.581151.5754894.626956e-09
0.5821131.5754184.634619e-09
0.5830771.5753484.642295e-09
0.5840431.5752784.649984e-09
0.5850111.5752084.657685e-09
0.585981.5751394.665399e-09
0.5869511.5750694.673126e-09
0.5879231.5754.680866e-09
0.5888971.5749324.688618e-09
0.5898721.5748634.696384e-09
0.5908491.5747954.704162e-09
0.5918281.5747274.711953e-09
0.5928091.5746594.719757e-09
0.5937911.5745914.727574e-09
0.5947741.5745244.735404e-09
0.595761.5744574.743247e-09
0.5967471.574394.751103e-09
0.5977351.5743234.758972e-09
0.5987251.5742564.766854e-09
0.5997171.574194.774749e-09
0.61.5741714.777000e-09
0.6007111.5741244.782658e-09
0.6017061.5740584.790581e-09
0.6027031.5739934.798518e-09
0.6037011.5739274.806467e-09
0.6047011.5738624.814430e-09
0.6057031.5737974.822405e-09
0.6067061.5737334.830394e-09
0.6077111.5736684.838397e-09
0.6087181.5736044.846412e-09
0.6097261.573544.854441e-09
0.6107361.5734764.862483e-09
0.6117481.5734124.870538e-09
0.6127611.5733494.878607e-09
0.6137771.5732864.886689e-09
0.6147931.5732234.894785e-09
0.6158121.573164.902893e-09
0.6168321.5730974.911016e-09
0.6178541.5730354.919152e-09
0.6188771.5729734.927301e-09
0.6199021.5729114.935464e-09
0.6209291.5728494.943640e-09
0.6219581.5727884.951830e-09
0.6229881.5727264.960033e-09
0.624021.5726654.968250e-09
0.6250541.5726044.976481e-09
0.626091.5725444.984725e-09
0.6271271.5724834.992983e-09
0.6281661.5724235.001254e-09
0.6292061.5723635.009540e-09
0.6302491.5723035.017839e-09
0.6312931.5722435.026151e-09
0.6323381.5721845.034478e-09
0.6333861.5721245.042818e-09
0.6344351.5720655.051172e-09
0.6354861.5720065.059540e-09
0.6365391.5719485.067922e-09
0.6375931.5718895.076318e-09
0.638651.5718315.084728e-09
0.6397081.5717725.093151e-09
0.6407671.5717145.101589e-09
0.6418291.5716575.110040e-09
0.6428921.5715995.118506e-09
0.6439571.5715425.126985e-09
0.6450241.5714845.135479e-09
0.6460921.5714275.143986e-09
0.6471631.571375.152508e-09
0.6482351.5713145.161044e-09
0.6493081.5712575.169594e-09
0.651.5712215.175100e-09
0.6503841.5712015.178158e-09
0.6514611.5711455.186736e-09
0.6525411.5710895.195329e-09
0.6536221.5710335.203936e-09
0.6547041.5709775.212557e-09
0.6557891.5709225.221192e-09
0.6568751.5708675.229842e-09
0.6579641.5708125.238506e-09
0.6590531.5707575.247184e-09
0.6601451.5707025.255877e-09
0.6612391.5706485.264584e-09
0.6623341.5705935.273305e-09
0.6634311.5705395.282041e-09
0.664531.5704855.290791e-09
0.6656311.5704315.299556e-09
0.6667341.5703775.308336e-09
0.6678381.5703245.317130e-09
0.6689451.570275.325938e-09
0.6700531.5702175.334761e-09
0.6711631.5701645.343599e-09
0.6722751.5701115.352452e-09
0.6733881.5700595.361319e-09
0.6745041.5700065.370200e-09
0.6756211.5699545.379097e-09
0.6767411.5699025.388008e-09
0.6778621.569855.396934e-09
0.6789851.5697985.405875e-09
0.6801091.5697465.414830e-09
0.6812361.5696945.423801e-09
0.6823641.5696435.432786e-09
0.6834951.5695925.441786e-09
0.6846271.5695415.450801e-09
0.6857611.569495.459831e-09
0.6868971.5694395.468876e-09
0.6880351.5693885.477936e-09
0.6891751.5693385.487011e-09
0.6903171.5692875.496101e-09
0.691461.5692375.505206e-09
0.6926061.5691875.514326e-09
0.6937531.5691375.523461e-09
0.6949021.5690885.532612e-09
0.6960531.5690385.541777e-09
0.6972061.5689895.550958e-09
0.6983611.568945.560154e-09
0.6995181.568895.569365e-09
0.71.568875.573200e-09
0.7006771.5688415.578591e-09
0.7018381.5687935.587833e-09
0.7031.5687445.597090e-09
0.7041651.5686955.606362e-09
0.7053321.5686475.615650e-09
0.70651.5685995.624953e-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
—