Optical constants

Refractive index of ZF10 (CDGM)

ZF10: 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
1.68893
Extinction coefficient k
3.28468e-08
Permittivity ε1
2.85248
Permittivity ε2
1.10952e-07
Absorption coefficient α
0.0070246 cm⁻¹
Penetration depth δ = λ/(2πk)
2.84714e+09 nm
Abbe number Vd
31.185
Chromatic dispersion dn/dλ
-0.111547 µm⁻¹
Group index ng
1.75447
Group velocity dispersion
222.566 fs²/mm
Dispersion parameter D
-1214.21 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

# ZF10 (CDGM): ZF10
cdgm_zf10 = ls.fetch_refractiveindex("specs", "CDGM-optical", "ZF10", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_zf10.range_nm)  # (365, 1014) nm
eps = cdgm_zf10.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=2.75929053−0.00920455833⁢λ2.0+0.0293164338⁢λ−2.0+0.00148740799⁢λ−4.0−7.05223488×10-5⁢λ−6.0+9.9538848×10-6⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C12.75929053
C2-0.00920455833
C32.0
C40.0293164338
C5-2.0
C60.00148740799
C7-4.0
C8-7.05223488e-05
C9-6.0
C109.9538848e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.02e-06 3.02e-08 -2.4e-10 1.33e-06 -1.33e-10 0.247
nd
1.688934
Vd
31.184753
glass code
689312
glass status
preferred
density
value: 4210
thermal expansion
value: 7.6e-06, temperature range: 243 343; value: 9.2e-06, temperature range: 293 573
dPgF
-0.0002

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.33e-06 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
ZF10 (CDGM), ZF10: n and k versus wavelength
λ (µm)nk
0.3651.7503419.272700e-07
0.3659361.749728.698381e-07
0.3668741.7491068.122589e-07
0.3678151.7484977.545321e-07
0.3687581.7478946.966573e-07
0.3697041.7472966.386341e-07
0.371.7471096.204400e-07
0.3706511.7467036.045331e-07
0.3716021.7461165.813277e-07
0.3725551.7455335.580627e-07
0.373511.7449565.347380e-07
0.3744681.7443845.113536e-07
0.3754281.7438174.879092e-07
0.376391.7432554.644047e-07
0.3773561.7426984.408399e-07
0.3783231.7421464.172147e-07
0.3792931.7415993.935289e-07
0.381.7412043.762700e-07
0.3802661.7410563.728797e-07
0.3812411.7405183.604382e-07
0.3822181.7399843.479649e-07
0.3831981.7394553.354596e-07
0.3841811.7389313.229222e-07
0.3851661.7384113.103527e-07
0.3861541.7378952.977509e-07
0.3871441.7373842.851169e-07
0.3881361.7368772.724504e-07
0.3891321.7363742.597514e-07
0.391.7359392.486700e-07
0.3901291.7358752.476524e-07
0.391131.7353812.397809e-07
0.3921331.734892.318891e-07
0.3931381.7344042.239771e-07
0.3941461.7339212.160449e-07
0.3951571.7334432.080923e-07
0.396171.7329682.001193e-07
0.3971861.7324971.921259e-07
0.3982041.732031.841119e-07
0.3992251.7315671.760774e-07
0.41.7312191.699800e-07
0.4002491.7311081.691319e-07
0.4012751.7306521.656334e-07
0.4023041.73021.621258e-07
0.4033351.7297511.586093e-07
0.404371.7293061.550837e-07
0.4054071.7288641.515492e-07
0.4064461.7284261.480055e-07
0.4074881.7279921.444528e-07
0.4085331.727561.408909e-07
0.4095811.7271321.373200e-07
0.4106311.7267081.337398e-07
0.4116841.7262871.301505e-07
0.4127391.7258691.265520e-07
0.4137981.7254541.229443e-07
0.4148591.7250421.193273e-07
0.4159221.7246341.157010e-07
0.4169891.7242281.120655e-07
0.4180581.7238261.084206e-07
0.419131.7234271.047663e-07
0.421.7231061.018000e-07
0.4202051.723031.015555e-07
0.4212821.7226371.002675e-07
0.4223621.7222479.897613e-08
0.4234451.7218599.768150e-08
0.4245311.7214759.638354e-08
0.4256191.7210939.508225e-08
0.4267111.7207159.377762e-08
0.4278051.7203399.246965e-08
0.4289021.7199659.115833e-08
0.4300021.7195958.984365e-08
0.4311041.7192278.852559e-08
0.4322091.7188628.720415e-08
0.4333181.71858.587933e-08
0.4344291.718148.455111e-08
0.4355431.7177838.321948e-08
0.4366591.7174288.188444e-08
0.4377791.7170768.054598e-08
0.4389021.7167277.920408e-08
0.441.7163887.789100e-08
0.4400271.716387.787059e-08
0.4411551.7160357.701728e-08
0.4422861.7156937.616179e-08
0.443421.7153547.530410e-08
0.4445571.7150167.444421e-08
0.4456971.7146827.358212e-08
0.446841.7143497.271781e-08
0.4479861.7140197.185129e-08
0.4491351.7136917.098255e-08
0.4502861.7133667.011158e-08
0.4514411.7130436.923838e-08
0.4525981.7127226.836293e-08
0.4537591.7124036.748525e-08
0.4549221.7120876.660531e-08
0.4560891.7117726.572312e-08
0.4572581.711466.483866e-08
0.4584311.711156.395194e-08
0.4596061.7108426.306294e-08
0.461.710746.276500e-08
0.4607851.7105376.226357e-08
0.4619661.7102336.150842e-08
0.4631511.7099316.075133e-08
0.4643381.7096325.999231e-08
0.4655291.7093355.923133e-08
0.4667221.7090395.846841e-08
0.4679191.7087465.770353e-08
0.4691191.7084545.693669e-08
0.4703221.7081655.616788e-08
0.4715281.7078775.539710e-08
0.4727371.7075925.462434e-08
0.4739491.7073085.384960e-08
0.4751641.7070265.307288e-08
0.4763821.7067465.229416e-08
0.4776041.7064685.151345e-08
0.4788291.7061925.073074e-08
0.481.705934.998200e-08
0.4800561.7059184.996519e-08
0.4812871.7056454.959764e-08
0.4825211.7053744.922915e-08
0.4837581.7051054.885971e-08
0.4849991.7048384.848933e-08
0.4862421.7045734.811800e-08
0.4874891.7043094.774571e-08
0.4887391.7040474.737247e-08
0.4899921.7037874.699828e-08
0.4912491.7035284.662312e-08
0.4925081.7032714.624700e-08
0.4937711.7030164.586992e-08
0.4950371.7027624.549187e-08
0.4963071.702514.511285e-08
0.4975791.702264.473286e-08
0.4988551.7020114.435190e-08
0.51.701794.401000e-08
0.5001341.7017644.397442e-08
0.5014161.7015184.363421e-08
0.5027021.7012744.329312e-08
0.5039911.7010324.295115e-08
0.5052831.7007914.260831e-08
0.5065791.7005524.226459e-08
0.5078781.7003144.191999e-08
0.509181.7000784.157451e-08
0.5104861.6998434.122814e-08
0.5117951.6996094.088088e-08
0.5131071.6993784.053273e-08
0.5144231.6991474.018368e-08
0.5157421.6989183.983375e-08
0.5170641.6986913.948291e-08
0.518391.6984653.913118e-08
0.5197191.698243.877854e-08
0.5210521.6980173.842500e-08
0.5223881.6977953.807056e-08
0.5237271.6975743.771520e-08
0.525071.6973553.735894e-08
0.5264161.6971373.700176e-08
0.5277661.6969213.664366e-08
0.5291191.6967063.628465e-08
0.5304761.6964923.592471e-08
0.5318361.6962793.556386e-08
0.53321.6960683.520207e-08
0.5345671.6958583.483936e-08
0.5359381.695653.447572e-08
0.5373121.6954433.411115e-08
0.538691.6952373.374564e-08
0.5400711.6950323.337920e-08
0.5414561.6948283.301181e-08
0.5428441.6946263.264349e-08
0.5442361.6944253.227422e-08
0.5456311.6942253.190400e-08
0.547031.6940263.153283e-08
0.5484331.6938293.116071e-08
0.5498391.6936333.078764e-08
0.551.693613.074500e-08
0.5512491.6934383.081483e-08
0.5526631.6932443.089384e-08
0.554081.6930513.097305e-08
0.55551.6928593.105247e-08
0.5569251.6926693.113209e-08
0.5583531.6924793.121192e-08
0.5597841.6922913.129195e-08
0.561221.6921043.137218e-08
0.5626591.6919183.145262e-08
0.5641011.6917333.153327e-08
0.5655481.691553.161412e-08
0.5669981.6913673.169518e-08
0.5684521.6911853.177645e-08
0.5699091.6910053.185793e-08
0.5713711.6908253.193962e-08
0.5728361.6906473.202151e-08
0.5743041.690473.210362e-08
0.5757771.6902933.218594e-08
0.5772531.6901183.226846e-08
0.5787331.6899443.235120e-08
0.5802171.6897713.243415e-08
0.5817051.6895983.251732e-08
0.5831971.6894273.260069e-08
0.5846921.6892573.268429e-08
0.5861911.6890883.276809e-08
0.5876941.6889193.285211e-08
0.5892011.6887523.293635e-08
0.5907121.6885863.302080e-08
0.5922271.688423.310547e-08
0.5937451.6882563.319035e-08
0.5952681.6880923.327545e-08
0.5967941.687933.336078e-08
0.5983241.6877683.344632e-08
0.5998581.6876083.353208e-08
0.61.6875933.354000e-08
0.6013961.6874483.361805e-08
0.6029381.6872893.370425e-08
0.6044841.6871313.379067e-08
0.6060341.6869743.387732e-08
0.6075881.6868183.396418e-08
0.6091461.6866623.405127e-08
0.6107081.6865083.413858e-08
0.6122741.6863553.422611e-08
0.6138441.6862023.431387e-08
0.6154181.686053.440186e-08
0.6169961.6858993.449006e-08
0.6185781.6857493.457850e-08
0.6201641.68563.466716e-08
0.6217541.6854513.475605e-08
0.6233481.6853043.484517e-08
0.6249471.6851573.493452e-08
0.6265491.6850113.502409e-08
0.6281561.6848663.511390e-08
0.6297661.6847213.520393e-08
0.6313811.6845783.529420e-08
0.6331.6844353.538469e-08
0.6346231.6842933.547542e-08
0.636251.6841523.556638e-08
0.6378821.6840123.565758e-08
0.6395171.6838723.574901e-08
0.6411571.6837333.584067e-08
0.6428011.6835953.593257e-08
0.6444491.6834583.602471e-08
0.6461021.6833213.611708e-08
0.6477581.6831853.620968e-08
0.6494191.683053.630253e-08
0.651.6830033.633500e-08
0.6510841.6829163.627402e-08
0.6527541.6827823.618013e-08
0.6544271.6826493.608600e-08
0.6561051.6825173.599163e-08
0.6577881.6823853.589702e-08
0.6594741.6822553.580216e-08
0.6611651.6821253.570706e-08
0.6628611.6819953.561172e-08
0.664561.6818673.551613e-08
0.6662641.6817393.542030e-08
0.6679731.6816113.532422e-08
0.6696851.6814853.522790e-08
0.6714021.6813593.513133e-08
0.6731241.6812333.503451e-08
0.674851.6811093.493744e-08
0.676581.6809853.484012e-08
0.6783151.6808623.474256e-08
0.6800541.6807393.464474e-08
0.6817981.6806173.454668e-08
0.6835461.6804953.444836e-08
0.6852991.6803753.434979e-08
0.6870561.6802553.425096e-08
0.6888181.6801353.415189e-08
0.6905841.6800163.405256e-08
0.6923551.6798983.395297e-08
0.694131.6797813.385313e-08
0.695911.6796643.375304e-08
0.6976941.6795473.365268e-08
0.6994831.6794313.355207e-08
0.71.6793983.352300e-08
0.7012771.6793163.350242e-08
0.7030751.6792023.347344e-08
0.7048771.6790883.344437e-08
0.7066851.6789743.341524e-08
0.7084971.6788613.338603e-08
0.7103131.6787493.335675e-08
0.7121351.6786373.332739e-08
0.7139611.6785263.329795e-08
0.7157911.6784163.326844e-08
0.7176271.6783063.323886e-08
0.7194671.6781963.320919e-08
0.7213121.6780873.317946e-08
0.7231611.6779793.314964e-08
0.7250151.6778713.311975e-08
0.7268741.6777643.308979e-08
0.7287381.6776573.305974e-08
0.7306071.6775513.302962e-08
0.732481.6774463.299942e-08
0.7343581.677343.296915e-08
0.7362411.6772363.293879e-08
0.7381291.6771323.290836e-08
0.7400221.6770283.287785e-08
0.7419191.6769253.284727e-08
0.7438211.6768233.281660e-08
0.7457291.6767213.278586e-08
0.7476411.6766193.275503e-08
0.7495581.6765183.272413e-08
0.751481.6764183.269315e-08
0.7534061.6763183.266209e-08
0.7553381.6762183.263095e-08
0.7572751.6761193.259973e-08
0.7592171.676023.256843e-08
0.7611631.6759223.253705e-08
0.7631151.6758253.250558e-08
0.7650721.6757273.247404e-08
0.7670341.6756313.244242e-08
0.7691.6755343.241072e-08
0.7709721.6754393.237893e-08
0.7729491.6753433.234706e-08
0.7749311.6752483.231512e-08
0.7769181.6751543.228308e-08
0.778911.675063.225097e-08
0.7809071.6749663.221878e-08
0.7829091.6748733.218650e-08
0.7849171.6747813.215414e-08
0.7869291.6746883.212170e-08
0.7889471.6745973.208917e-08
0.790971.6745053.205656e-08
0.7929981.6744143.202387e-08
0.7950321.6743243.199109e-08
0.797071.6742343.195823e-08
0.7991141.6741443.192529e-08
0.81.6741053.191100e-08
0.8011631.6740553.179937e-08
0.8032171.6739663.160216e-08
0.8052771.6738773.140445e-08
0.8073411.6737893.120623e-08
0.8094111.6737013.100750e-08
0.8114871.6736143.080826e-08
0.8135681.6735273.060851e-08
0.8156541.6734413.040825e-08
0.8177451.6733553.020747e-08
0.8198421.6732693.000618e-08
0.8219441.6731842.980438e-08
0.8240521.6730992.960205e-08
0.8261641.6730142.939921e-08
0.8282831.672932.919585e-08
0.8304071.6728462.899197e-08
0.8325361.6727632.878756e-08
0.8346711.672682.858263e-08
0.8368111.6725972.837717e-08
0.8389561.6725142.817119e-08
0.8411081.6724322.796468e-08
0.8432641.6723512.775764e-08
0.8454261.6722692.755007e-08
0.8475941.6721882.734196e-08
0.8497671.6721082.713333e-08
0.851.6720992.711100e-08
0.8519461.6720272.689329e-08
0.8541311.6719482.664893e-08
0.8563211.6718682.640395e-08
0.8585171.6717892.615834e-08
0.8607181.671712.591210e-08
0.8629251.6716312.566523e-08
0.8651371.6715532.541773e-08
0.8673561.6714752.516959e-08
0.869581.6713972.492082e-08
0.8718091.671322.467141e-08
0.8740451.6712432.442136e-08
0.8762861.6711662.417066e-08
0.8785331.671092.391933e-08
0.8807851.6710142.366735e-08
0.8830441.6709382.341472e-08
0.8853081.6708632.316145e-08
0.8875781.6707872.290753e-08
0.8898541.6707132.265295e-08
0.8921351.6706382.239773e-08
0.8944231.6705642.214185e-08
0.8967161.670492.188531e-08
0.8990161.6704162.162811e-08
0.91.6703852.151800e-08
0.9013211.6703432.154959e-08
0.9036321.670272.160487e-08
0.9059491.6701972.166030e-08
0.9082721.6701242.171586e-08
0.9106011.6700522.177157e-08
0.9129351.669982.182742e-08
0.9152761.6699082.188341e-08
0.9176231.6698372.193955e-08
0.9199761.6697662.199583e-08
0.9223351.6696952.205225e-08
0.92471.6696242.210882e-08
0.9270711.6695542.216554e-08
0.9294481.6694842.222240e-08
0.9318311.6694142.227940e-08
0.934221.6693442.233655e-08
0.9366161.6692752.239385e-08
0.9390171.6692062.245130e-08
0.9414251.6691372.250889e-08
0.9438391.6690692.256663e-08
0.9462591.6692.262452e-08
0.9486851.6689322.268256e-08
0.951.6688962.271400e-08
0.9511181.6688642.274072e-08
0.9535571.6687972.279901e-08
0.9560021.6687292.285744e-08
0.9584531.6686622.291603e-08
0.9609111.6685952.297476e-08
0.9633741.6685292.303365e-08
0.9658451.6684622.309268e-08
0.9683211.6683962.315187e-08
0.9708041.668332.321121e-08
0.9732931.6682642.327071e-08
0.9757891.6681992.333035e-08
0.9782911.6681332.339015e-08
0.9807991.6680682.345010e-08
0.9833141.6680032.351021e-08
0.9858351.6679392.357046e-08
0.9883631.6678742.363088e-08
0.9908971.667812.369145e-08
0.9934381.6677462.375217e-08
0.9959851.6676822.381305e-08
0.9985391.6676182.387409e-08
11.6675822.390900e-08
1.00111.6675552.378032e-08
1.003671.6674912.347991e-08
1.006241.6674282.317873e-08
1.008821.6673652.287677e-08
1.011411.6673032.257404e-08
1.0141.667242.227053e-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
—