Optical constants

Refractive index of ZF11 (CDGM)

ZF11: 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. Note: k data cover 370-2400 nm only; k = 0 elsewhere in the n range 365-706.5 nm.

At one wavelength

Range 0.365–0.7065 µm
Refractive index n
1.69894
Extinction coefficient k
4.69952e-08
Permittivity ε1
2.88641
Permittivity ε2
1.59685e-07
Absorption coefficient α
0.0100504 cm⁻¹
Penetration depth δ = λ/(2πk)
1.98998e+09 nm
Abbe number Vd
30.066
Chromatic dispersion dn/dλ
-0.117084 µm⁻¹
Group index ng
1.76774
Group velocity dispersion
236.098 fs²/mm
Dispersion parameter D
-1288.04 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

# ZF11 (CDGM): ZF11
cdgm_zf11 = ls.fetch_refractiveindex("specs", "CDGM-optical", "ZF11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_zf11.range_nm)  # (365, 706.5) nm
eps = cdgm_zf11.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=2.7906689−0.010644977⁢λ2.0+0.029071854⁢λ−2.0+0.0021286607⁢λ−4.0−0.00015815625⁢λ−6.0+1.7145247×10-5⁢λ−8.0

Valid from 0.365 to 0.7065 µm.

Coefficients as stored
CiValue
C12.7906689
C2-0.010644977
C32.0
C40.029071854
C5-2.0
C60.0021286607
C7-4.0
C8-0.00015815625
C9-6.0
C101.7145247e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.698949
Vd
30.065686
glass code
699301
glass status
preferred
density
value: 4059
thermal expansion
value: 7.3e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
0.0048
Notes on the source data (kept exactly as published):
  • k data cover 370-2400 nm only; k = 0 elsewhere in the n range 365-706.5 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 413 wavelengths, the same grid as the API and the library
ZF11 (CDGM), ZF11: n and k versus wavelength
λ (µm)nk
0.3651.7649190
0.3656051.7644740
0.366211.7640310
0.3668171.7635910
0.3674251.7631540
0.3680331.762720
0.3686431.7622880
0.3692541.761860
0.3698651.7614340
0.371.761347.829800e-06
0.3704781.761017.595373e-06
0.3710921.760597.294409e-06
0.3717071.7601726.992946e-06
0.3723221.7597566.690984e-06
0.3729391.7593436.388522e-06
0.3735571.7589336.085558e-06
0.3741761.7585255.782093e-06
0.3747961.758125.478125e-06
0.3754161.7577175.173654e-06
0.3760381.7573174.868678e-06
0.3766611.7569194.563197e-06
0.3772851.7565234.257210e-06
0.377911.756133.950716e-06
0.3785361.7557393.643714e-06
0.3791631.7553513.336204e-06
0.3797911.7549653.028184e-06
0.381.7548382.925900e-06
0.3804211.7545812.853182e-06
0.3810511.75422.744222e-06
0.3816821.7538212.635081e-06
0.3823141.7534442.525759e-06
0.3829481.7530692.416256e-06
0.3835821.7526972.306571e-06
0.3842171.7523272.196705e-06
0.3848541.7519592.086657e-06
0.3854911.7515931.976427e-06
0.386131.7512291.866013e-06
0.386771.7508671.755418e-06
0.387411.7505081.644638e-06
0.3880521.7501511.533676e-06
0.3886951.7497951.422529e-06
0.3893391.7494421.311199e-06
0.3899841.7490911.199684e-06
0.391.7490821.196900e-06
0.390631.7487411.155749e-06
0.3912771.7483941.113476e-06
0.3919251.7480491.071133e-06
0.3925741.7477051.028720e-06
0.3932251.7473649.862364e-07
0.3938761.7470259.436826e-07
0.3945291.7466879.010584e-07
0.3951821.7463528.583636e-07
0.3958371.7460188.155980e-07
0.3964931.7456867.727616e-07
0.3971491.7453567.298543e-07
0.3978071.7450286.868758e-07
0.3984661.7447016.438262e-07
0.3991261.7443776.007052e-07
0.3997881.7440545.575128e-07
0.41.7439515.436400e-07
0.400451.7437335.355843e-07
0.4011131.7434145.237066e-07
0.4017781.7430965.118092e-07
0.4024431.7427814.998921e-07
0.403111.7424674.879552e-07
0.4037781.7421544.759986e-07
0.4044471.7418444.640222e-07
0.4051171.7415354.520259e-07
0.4057881.7412284.400097e-07
0.406461.7409224.279737e-07
0.4071331.7406184.159177e-07
0.4078081.7403164.038417e-07
0.4084831.7400153.917458e-07
0.409161.7397163.796298e-07
0.4098381.7394193.674937e-07
0.4105171.7391233.553375e-07
0.4111971.7388283.431612e-07
0.4118781.7385363.309647e-07
0.412561.7382443.187480e-07
0.4132441.7379553.065111e-07
0.4139281.7376662.942539e-07
0.4146141.737382.819764e-07
0.4153011.7370942.696786e-07
0.4159891.7368112.573604e-07
0.4166781.7365282.450217e-07
0.4173681.7362482.326627e-07
0.418061.7359682.202831e-07
0.4187521.735692.078831e-07
0.4194461.7354141.954625e-07
0.421.7351951.855400e-07
0.4201411.7351391.850615e-07
0.4208371.7348651.826937e-07
0.4215341.7345931.803220e-07
0.4222321.7343221.779464e-07
0.4229321.7340531.755668e-07
0.4236321.7337851.731833e-07
0.4243341.7335181.707959e-07
0.4250371.7332531.684045e-07
0.4257411.7329891.660091e-07
0.4264461.7327261.636098e-07
0.4271531.7324641.612065e-07
0.427861.7322041.587992e-07
0.4285691.7319451.563879e-07
0.4292791.7316881.539726e-07
0.429991.7314321.515533e-07
0.4307031.7311771.491301e-07
0.4314161.7309231.467028e-07
0.4321311.7306711.442715e-07
0.4328471.7304191.418361e-07
0.4335641.730171.393967e-07
0.4342821.7299211.369533e-07
0.4350011.7296731.345059e-07
0.4357221.7294271.320543e-07
0.4364441.7291821.295988e-07
0.4371671.7289381.271391e-07
0.4378911.7286951.246754e-07
0.4386161.7284541.222076e-07
0.4393431.7282131.197357e-07
0.441.7279971.175000e-07
0.4400711.7279741.174123e-07
0.44081.7277361.165075e-07
0.441531.7274991.156012e-07
0.4422611.7272631.146934e-07
0.4429941.7270291.137841e-07
0.4437281.7267951.128733e-07
0.4444631.7265631.119609e-07
0.4451991.7263321.110471e-07
0.4459371.7261011.101317e-07
0.4466751.7258721.092149e-07
0.4474151.7256441.082965e-07
0.4481561.7254171.073766e-07
0.4488991.7251911.064551e-07
0.4496431.7249671.055322e-07
0.4503871.7247431.046077e-07
0.4511331.724521.036817e-07
0.4518811.7242981.027541e-07
0.4526291.7240781.018250e-07
0.4533791.7238581.008944e-07
0.454131.723649.996221e-08
0.4548831.7234229.902850e-08
0.4556361.7232069.809323e-08
0.4563911.722999.715642e-08
0.4571471.7227769.621805e-08
0.4579041.7225629.527813e-08
0.4586631.7223499.433666e-08
0.4594231.7221389.339362e-08
0.461.7219789.267700e-08
0.4601841.7219279.253457e-08
0.4609461.7217189.194346e-08
0.461711.7215099.135137e-08
0.4624741.7213019.075831e-08
0.4632411.7210949.016425e-08
0.4640081.7208888.956922e-08
0.4647771.7206848.897320e-08
0.4655471.720488.837619e-08
0.4663181.7202768.777819e-08
0.467091.7200748.717920e-08
0.4678641.7198738.657922e-08
0.4686391.7196738.597825e-08
0.4694151.7194738.537628e-08
0.4701931.7192758.477331e-08
0.4709721.7190778.416934e-08
0.4717521.718888.356438e-08
0.4725341.7186858.295841e-08
0.4733161.718498.235143e-08
0.4741011.7182958.174346e-08
0.4748861.7181028.113447e-08
0.4756731.717918.052448e-08
0.4764611.7177187.991347e-08
0.477251.7175277.930145e-08
0.478041.7173387.868842e-08
0.4788321.7171497.807438e-08
0.4796261.716967.745931e-08
0.481.7168727.716900e-08
0.480421.7167737.681118e-08
0.4812161.7165867.613335e-08
0.4820131.7164017.545440e-08
0.4828121.7162167.477433e-08
0.4836111.7160327.409313e-08
0.4844131.7158487.341080e-08
0.4852151.7156667.272734e-08
0.4860191.7154847.204275e-08
0.4868241.7153037.135702e-08
0.487631.7151237.067016e-08
0.4884381.7149446.998216e-08
0.4892471.7147656.929302e-08
0.4900581.7145876.860274e-08
0.490871.714416.791131e-08
0.4916831.7142346.721875e-08
0.4924971.7140596.652503e-08
0.4933131.7138846.583016e-08
0.494131.713716.513414e-08
0.4949491.7135366.443697e-08
0.4957691.7133646.373865e-08
0.496591.7131926.303917e-08
0.4974131.7130216.233853e-08
0.4982371.7128516.163673e-08
0.4990621.7126816.093376e-08
0.4998891.7125126.022963e-08
0.51.712496.013500e-08
0.5007171.7123445.990345e-08
0.5015461.7121775.963558e-08
0.5023771.712015.936727e-08
0.503211.7118445.909851e-08
0.5040431.7116795.882931e-08
0.5048781.7115145.855966e-08
0.5057141.711355.828956e-08
0.5065521.7111875.801902e-08
0.5073911.7110245.774802e-08
0.5082321.7108625.747658e-08
0.5090741.7107015.720469e-08
0.5099171.710545.693235e-08
0.5107621.7103815.665956e-08
0.5116081.7102215.638632e-08
0.5124561.7100635.611262e-08
0.5133041.7099055.583847e-08
0.5141551.7097485.556386e-08
0.5150061.7095915.528880e-08
0.515861.7094355.501329e-08
0.5167141.709285.473732e-08
0.517571.7091255.446089e-08
0.5184281.7089715.418400e-08
0.5192861.7088185.390666e-08
0.5201471.7086655.362885e-08
0.5210081.7085135.335059e-08
0.5218711.7083625.307186e-08
0.5227361.7082115.279268e-08
0.5236021.7080615.251303e-08
0.5244691.7079115.223291e-08
0.5253381.7077625.195233e-08
0.5262081.7076145.167129e-08
0.527081.7074665.138979e-08
0.5279531.7073195.110781e-08
0.5288281.7071725.082537e-08
0.5297041.7070265.054246e-08
0.5305811.7068815.025908e-08
0.531461.7067364.997524e-08
0.5323411.7065924.969092e-08
0.5332221.7064484.940613e-08
0.5341061.7063054.912087e-08
0.5349911.7061624.883514e-08
0.5358771.706024.854893e-08
0.5367651.7058794.826225e-08
0.5376541.7057384.797510e-08
0.5385441.7055984.768747e-08
0.5394371.7054594.739936e-08
0.540331.7053194.711078e-08
0.5412251.7051814.682171e-08
0.5421221.7050434.653217e-08
0.543021.7049064.624215e-08
0.5439191.7047694.595165e-08
0.5448211.7046324.566067e-08
0.5457231.7044974.536920e-08
0.5466271.7043614.507725e-08
0.5475331.7042274.478482e-08
0.548441.7040924.449191e-08
0.5493481.7039594.419851e-08
0.551.7038634.398800e-08
0.5502581.7038264.400865e-08
0.551171.7036934.408156e-08
0.5520831.7035614.415458e-08
0.5529971.703434.422773e-08
0.5539131.7032994.430100e-08
0.5548311.7031684.437439e-08
0.555751.7030384.444790e-08
0.5566711.7029094.452153e-08
0.5575931.702784.459528e-08
0.5585171.7026514.466916e-08
0.5594421.7025234.474316e-08
0.5603691.7023964.481728e-08
0.5612971.7022694.489153e-08
0.5622271.7021424.496590e-08
0.5631581.7020164.504039e-08
0.5640911.7018914.511500e-08
0.5650251.7017664.518974e-08
0.5659611.7016414.526460e-08
0.5668991.7015174.533959e-08
0.5678381.7013944.541470e-08
0.5687791.7012714.548993e-08
0.5697211.7011484.556529e-08
0.5706651.7010264.564077e-08
0.571611.7009054.571638e-08
0.5725571.7007834.579212e-08
0.5735061.7006634.586798e-08
0.5744561.7005424.594396e-08
0.5754071.7004234.602007e-08
0.576361.7003034.609631e-08
0.5773151.7001854.617267e-08
0.5782721.7000664.624916e-08
0.579231.6999484.632578e-08
0.5801891.6998314.640252e-08
0.581151.6997144.647940e-08
0.5821131.6995974.655639e-08
0.5830771.6994814.663352e-08
0.5840431.6993654.671077e-08
0.5850111.699254.678815e-08
0.585981.6991354.686566e-08
0.5869511.6990214.694330e-08
0.5879231.6989074.702107e-08
0.5888971.6987934.709896e-08
0.5898721.698684.717699e-08
0.5908491.6985684.725514e-08
0.5918281.6984554.733343e-08
0.5928091.6983444.741184e-08
0.5937911.6982324.749038e-08
0.5947741.6981214.756905e-08
0.595761.6980114.764786e-08
0.5967471.6979014.772679e-08
0.5977351.6977914.780586e-08
0.5987251.6976814.788505e-08
0.5997171.6975734.796438e-08
0.61.6975424.798700e-08
0.6007111.6974644.796962e-08
0.6017061.6973564.794528e-08
0.6027031.6972484.792090e-08
0.6037011.6971414.789647e-08
0.6047011.6970344.787201e-08
0.6057031.6969284.784751e-08
0.6067061.6968224.782297e-08
0.6077111.6967164.779838e-08
0.6087181.6966114.777376e-08
0.6097261.6965064.774909e-08
0.6107361.6964014.772439e-08
0.6117481.6962974.769964e-08
0.6127611.6961934.767485e-08
0.6137771.696094.765002e-08
0.6147931.6959874.762515e-08
0.6158121.6958854.760024e-08
0.6168321.6957824.757529e-08
0.6178541.695684.755030e-08
0.6188771.6955794.752526e-08
0.6199021.6954784.750019e-08
0.6209291.6953774.747507e-08
0.6219581.6952774.744991e-08
0.6229881.6951774.742471e-08
0.624021.6950774.739946e-08
0.6250541.6949784.737418e-08
0.626091.6948794.734885e-08
0.6271271.6947814.732348e-08
0.6281661.6946824.729807e-08
0.6292061.6945854.727262e-08
0.6302491.6944874.724712e-08
0.6312931.694394.722158e-08
0.6323381.6942934.719600e-08
0.6333861.6941974.717038e-08
0.6344351.6941014.714472e-08
0.6354861.6940054.711901e-08
0.6365391.693914.709326e-08
0.6375931.6938154.706747e-08
0.638651.693724.704163e-08
0.6397081.6936264.701575e-08
0.6407671.6935324.698983e-08
0.6418291.6934384.696387e-08
0.6428921.6933454.693786e-08
0.6439571.6932524.691181e-08
0.6450241.6931594.688572e-08
0.6460921.6930674.685958e-08
0.6471631.6929754.683340e-08
0.6482351.6928834.680718e-08
0.6493081.6927924.678092e-08
0.651.6927334.676400e-08
0.6503841.6927014.670536e-08
0.6514611.692614.654086e-08
0.6525411.692524.637609e-08
0.6536221.692434.621105e-08
0.6547041.692344.604573e-08
0.6557891.6922514.588014e-08
0.6568751.6921624.571427e-08
0.6579641.6920734.554813e-08
0.6590531.6919844.538171e-08
0.6601451.6918964.521502e-08
0.6612391.6918094.504805e-08
0.6623341.6917214.488081e-08
0.6634311.6916344.471329e-08
0.664531.6915474.454549e-08
0.6656311.691464.437741e-08
0.6667341.6913744.420906e-08
0.6678381.6912884.404042e-08
0.6689451.6912024.387151e-08
0.6700531.6911174.370232e-08
0.6711631.6910324.353284e-08
0.6722751.6909474.336309e-08
0.6733881.6908624.319305e-08
0.6745041.6907784.302274e-08
0.6756211.6906944.285214e-08
0.6767411.6906114.268126e-08
0.6778621.6905274.251009e-08
0.6789851.6904444.233864e-08
0.6801091.6903624.216691e-08
0.6812361.6902794.199489e-08
0.6823641.6901974.182259e-08
0.6834951.6901154.165000e-08
0.6846271.6900334.147713e-08
0.6857611.6899524.130397e-08
0.6868971.6898714.113052e-08
0.6880351.689794.095679e-08
0.6891751.689714.078277e-08
0.6903171.6896294.060846e-08
0.691461.6895494.043386e-08
0.6926061.689474.025897e-08
0.6937531.689394.008379e-08
0.6949021.6893113.990833e-08
0.6960531.6892323.973257e-08
0.6972061.6891543.955652e-08
0.6983611.6890753.938018e-08
0.6995181.6889973.920354e-08
0.71.6889653.913000e-08
0.7006771.6889193.912446e-08
0.7018381.6888423.911497e-08
0.7031.6887643.910546e-08
0.7041651.6886873.909593e-08
0.7053321.6886113.908639e-08
0.70651.6885343.907683e-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
—