Optical constants

Refractive index of ZF6 (CDGM)

ZF6: 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
1.7552
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.08073
Permittivity ε2
3.28621e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
27.546
Chromatic dispersion dn/dλ
-0.137827 µm⁻¹
Group index ng
1.83619
Group velocity dispersion
281.219 fs²/mm
Dispersion parameter D
-1534.2 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

# ZF6 (CDGM): ZF6
cdgm_zf6 = ls.fetch_refractiveindex("specs", "CDGM-optical", "ZF6", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_zf6.range_nm)  # (365, 1014) nm
eps = cdgm_zf6.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=2.96285995−0.0104077823⁢λ2.0+0.0356441238⁢λ−2.0+0.00245699205⁢λ−4.0−0.000149615893⁢λ−6.0+1.77827751×10-5⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C12.96285995
C2-0.0104077823
C32.0
C40.0356441238
C5-2.0
C60.00245699205
C7-4.0
C8-0.000149615893
C9-6.0
C101.77827751e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.755205
Vd
27.546239
glass code
755275
density
value: 4780
thermal expansion
value: 8e-06, temperature range: 243 343; value: 9.4e-06, temperature range: 293 573
dPgF
0.002
resistance
climatic: 1.0

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
ZF6 (CDGM), ZF6: n and k versus wavelength
λ (µm)nk
0.3651.8332022.500800e-06
0.3659361.8323932.305124e-06
0.3668741.8315922.108946e-06
0.3678151.8307991.912265e-06
0.3687581.8300131.715080e-06
0.3697041.8292351.517389e-06
0.371.8289931.455400e-06
0.3706511.8284641.409532e-06
0.3716021.82771.342619e-06
0.3725551.8269441.275534e-06
0.373511.8261941.208276e-06
0.3744681.8254521.140847e-06
0.3754281.8247161.073244e-06
0.376391.8239881.005468e-06
0.3773561.8232669.375188e-07
0.3783231.822558.693950e-07
0.3792931.8218418.010965e-07
0.381.821337.513300e-07
0.3802661.8211397.428507e-07
0.3812411.8204437.117345e-07
0.3822181.8197536.805384e-07
0.3831981.819076.492624e-07
0.3841811.8183926.179062e-07
0.3851661.8177215.864695e-07
0.3861541.8170555.549523e-07
0.3871441.8163965.233543e-07
0.3881361.8157424.916752e-07
0.3891321.8150944.599149e-07
0.391.8145344.322000e-07
0.3901291.8144524.300432e-07
0.391131.8138154.133587e-07
0.3921331.8131843.966315e-07
0.3931381.8125583.798614e-07
0.3941461.8119373.630484e-07
0.3951571.8113223.461922e-07
0.396171.8107133.292927e-07
0.3971861.8101083.123500e-07
0.3982041.8095082.953638e-07
0.3992251.8089142.783340e-07
0.41.8084672.654100e-07
0.4002491.8083252.635466e-07
0.4012751.807742.558599e-07
0.4023041.8071612.481534e-07
0.4033351.8065862.404271e-07
0.404371.8060162.326811e-07
0.4054071.8054512.249152e-07
0.4064461.804892.171293e-07
0.4074881.8043342.093235e-07
0.4085331.8037822.014977e-07
0.4095811.8032361.936518e-07
0.4106311.8026931.857858e-07
0.4116841.8021551.778997e-07
0.4127391.8016211.699933e-07
0.4137981.8010921.620666e-07
0.4148591.8005661.541196e-07
0.4159221.8000451.461523e-07
0.4169891.7995291.381645e-07
0.4180581.7990161.301562e-07
0.419131.7985071.221274e-07
0.421.7980981.156100e-07
0.4202051.7980021.150053e-07
0.4212821.7975021.118196e-07
0.4223621.7970051.086257e-07
0.4234451.7965121.054237e-07
0.4245311.7960231.022135e-07
0.4256191.7955389.899502e-08
0.4267111.7950569.576830e-08
0.4278051.7945789.253331e-08
0.4289021.7941048.929002e-08
0.4300021.7936348.603841e-08
0.4311041.7931678.277847e-08
0.4322091.7927037.951017e-08
0.4333181.7922447.623349e-08
0.4344291.7917877.294841e-08
0.4355431.7913346.965490e-08
0.4366591.7908856.635295e-08
0.4377791.7904396.304254e-08
0.4389021.7899965.972363e-08
0.441.7895675.647600e-08
0.4400271.7895565.643450e-08
0.4411551.789125.469911e-08
0.4422861.7886875.295927e-08
0.443421.7882585.121497e-08
0.4445571.7878314.946620e-08
0.4456971.7874084.771295e-08
0.446841.7869874.595520e-08
0.4479861.786574.419294e-08
0.4491351.7861564.242617e-08
0.4502861.7857454.065486e-08
0.4514411.7853373.887901e-08
0.4525981.7849313.709861e-08
0.4537591.7845293.531364e-08
0.4549221.784133.352410e-08
0.4560891.7837333.172997e-08
0.4572581.7833392.993124e-08
0.4584311.7829492.812789e-08
0.4596061.7825612.631993e-08
0.461.7824312.571400e-08
0.4607851.7821752.560703e-08
0.4619661.7817932.544593e-08
0.4631511.7814132.528442e-08
0.4643381.7810362.512250e-08
0.4655291.7806612.496016e-08
0.4667221.7802892.479741e-08
0.4679191.779922.463424e-08
0.4691191.7795532.447064e-08
0.4703221.7791892.430663e-08
0.4715281.7788272.414220e-08
0.4727371.7784682.397735e-08
0.4739491.7781122.381208e-08
0.4751641.7777582.364638e-08
0.4763821.7774062.348025e-08
0.4776041.7770572.331370e-08
0.4788291.776712.314673e-08
0.481.7763812.298700e-08
0.4800561.7763652.296718e-08
0.4812871.7760232.253390e-08
0.4825211.7756832.209951e-08
0.4837581.7753462.166401e-08
0.4849991.7750112.122739e-08
0.4862421.7746782.078965e-08
0.4874891.7743472.035079e-08
0.4887391.7740191.991080e-08
0.4899921.7736931.946969e-08
0.4912491.7733691.902744e-08
0.4925081.7730471.858406e-08
0.4937711.7727271.813954e-08
0.4950371.772411.769388e-08
0.4963071.7720941.724708e-08
0.4975791.7717811.679914e-08
0.4988551.771471.635004e-08
0.51.7711931.594700e-08
0.5001341.771161.592773e-08
0.5014161.7708531.574346e-08
0.5027021.7705481.555872e-08
0.5039911.7702451.537350e-08
0.5052831.7699441.518781e-08
0.5065791.7696451.500164e-08
0.5078781.7693481.481499e-08
0.509181.7690521.462787e-08
0.5104861.7687591.444026e-08
0.5117951.7684681.425218e-08
0.5131071.7681781.406361e-08
0.5144231.7678911.387456e-08
0.5157421.7676051.368502e-08
0.5170641.7673211.349500e-08
0.518391.7670391.330449e-08
0.5197191.7667591.311350e-08
0.5210521.766481.292201e-08
0.5223881.7662041.273003e-08
0.5237271.7659291.253756e-08
0.525071.7656561.234460e-08
0.5264161.7653841.215114e-08
0.5277661.7651151.195718e-08
0.5291191.7648471.176273e-08
0.5304761.7645811.156778e-08
0.5318361.7643161.137233e-08
0.53321.7640531.117638e-08
0.5345671.7637921.097992e-08
0.5359381.7635331.078296e-08
0.5373121.7632751.058550e-08
0.538691.7630181.038753e-08
0.5400711.7627641.018906e-08
0.5414561.7625119.990070e-09
0.5428441.7622599.790574e-09
0.5442361.7620099.590567e-09
0.5456311.7617619.390046e-09
0.547031.7615149.189012e-09
0.5484331.7612698.987462e-09
0.5498391.7610258.785395e-09
0.551.7609988.762300e-09
0.5512491.7607838.782201e-09
0.5526631.7605428.804720e-09
0.554081.7603038.827297e-09
0.55551.7600658.849931e-09
0.5569251.7598298.872624e-09
0.5583531.7595948.895375e-09
0.5597841.7593618.918184e-09
0.561221.7591298.941052e-09
0.5626591.7588998.963979e-09
0.5641011.7586698.986964e-09
0.5655481.7584429.010008e-09
0.5669981.7582159.033111e-09
0.5684521.757999.056273e-09
0.5699091.7577679.079495e-09
0.5713711.7575459.102777e-09
0.5728361.7573249.126118e-09
0.5743041.7571049.149519e-09
0.5757771.7568869.172980e-09
0.5772531.7566699.196501e-09
0.5787331.7564549.220082e-09
0.5802171.7562399.243724e-09
0.5817051.7560269.267426e-09
0.5831971.7558159.291190e-09
0.5846921.7556049.315014e-09
0.5861911.7553959.338899e-09
0.5876941.7551879.362846e-09
0.5892011.754989.386853e-09
0.5907121.7547759.410923e-09
0.5922271.7545719.435054e-09
0.5937451.7543689.459247e-09
0.5952681.7541669.483502e-09
0.5967941.7539659.507820e-09
0.5983241.7537669.532199e-09
0.5998581.7535679.556641e-09
0.61.7535499.558900e-09
0.6013961.753379.581132e-09
0.6029381.7531749.605684e-09
0.6044841.752989.630300e-09
0.6060341.7527869.654978e-09
0.6075881.7525939.679719e-09
0.6091461.7524029.704524e-09
0.6107081.7522129.729393e-09
0.6122741.7520239.754326e-09
0.6138441.7518359.779322e-09
0.6154181.7516489.804382e-09
0.6169961.7514629.829507e-09
0.6185781.7512779.854696e-09
0.6201641.7510939.879950e-09
0.6217541.7509119.905268e-09
0.6233481.7507299.930651e-09
0.6249471.7505499.956100e-09
0.6265491.7503699.981614e-09
0.6281561.7501911.000719e-08
0.6297661.7500131.003284e-08
0.6313811.7498371.005855e-08
0.6331.7496611.008432e-08
0.6346231.7494871.011017e-08
0.636251.7493131.013608e-08
0.6378821.7491411.016205e-08
0.6395171.7489691.018809e-08
0.6411571.7487991.021420e-08
0.6428011.7486291.024038e-08
0.6444491.7484611.026662e-08
0.6461021.7482931.029293e-08
0.6477581.7481271.031931e-08
0.6494191.7479611.034575e-08
0.651.7479031.035500e-08
0.6510841.7477961.037228e-08
0.6527541.7476321.039889e-08
0.6544271.7474691.042557e-08
0.6561051.7473071.045232e-08
0.6577881.7471461.047914e-08
0.6594741.7469861.050602e-08
0.6611651.7468271.053298e-08
0.6628611.7466681.056000e-08
0.664561.7465111.058709e-08
0.6662641.7463541.061425e-08
0.6679731.7461981.064148e-08
0.6696851.7460431.066878e-08
0.6714021.7458891.069615e-08
0.6731241.7457361.072360e-08
0.674851.7455831.075111e-08
0.676581.7454321.077869e-08
0.6783151.7452811.080634e-08
0.6800541.7451311.083407e-08
0.6817981.7449821.086186e-08
0.6835461.7448341.088973e-08
0.6852991.7446861.091767e-08
0.6870561.744541.094567e-08
0.6888181.7443941.097376e-08
0.6905841.7442491.100191e-08
0.6923551.7441051.103013e-08
0.694131.7439611.105843e-08
0.695911.7438181.108680e-08
0.6976941.7436761.111524e-08
0.6994831.7435351.114376e-08
0.71.7434951.115200e-08
0.7012771.7433951.117234e-08
0.7030751.7432551.120098e-08
0.7048771.7431161.122970e-08
0.7066851.7429781.125849e-08
0.7084971.742841.128735e-08
0.7103131.7427041.131629e-08
0.7121351.7425681.134531e-08
0.7139611.7424321.137440e-08
0.7157911.7422981.140356e-08
0.7176271.7421641.143279e-08
0.7194671.7420311.146211e-08
0.7213121.7418981.149149e-08
0.7231611.7417671.152096e-08
0.7250151.7416351.155049e-08
0.7268741.7415051.158011e-08
0.7287381.7413751.160980e-08
0.7306071.7412461.163956e-08
0.732481.7411181.166941e-08
0.7343581.740991.169933e-08
0.7362411.7408631.172932e-08
0.7381291.7407371.175939e-08
0.7400221.7406111.178954e-08
0.7419191.7404861.181977e-08
0.7438211.7403621.185007e-08
0.7457291.7402381.188046e-08
0.7476411.7401151.191092e-08
0.7495581.7399921.194145e-08
0.751481.739871.197207e-08
0.7534061.7397491.200277e-08
0.7553381.7396281.203354e-08
0.7572751.7395081.206439e-08
0.7592171.7393891.209532e-08
0.7611631.739271.212633e-08
0.7631151.7391521.215742e-08
0.7650721.7390341.218859e-08
0.7670341.7389171.221984e-08
0.7691.7388011.225117e-08
0.7709721.7386851.228259e-08
0.7729491.7385691.231408e-08
0.7749311.7384551.234565e-08
0.7769181.738341.237730e-08
0.778911.7382271.240903e-08
0.7809071.7381141.244085e-08
0.7829091.7380011.247275e-08
0.7849171.7378891.250473e-08
0.7869291.7377781.253679e-08
0.7889471.7376671.256893e-08
0.790971.7375571.260115e-08
0.7929981.7374471.263346e-08
0.7950321.7373381.266585e-08
0.797071.7372291.269833e-08
0.7991141.7371211.273088e-08
0.81.7370741.274500e-08
0.8011631.7370131.276354e-08
0.8032171.7369061.279628e-08
0.8052771.7367991.282911e-08
0.8073411.7366931.286202e-08
0.8094111.7365881.289502e-08
0.8114871.7364821.292810e-08
0.8135681.7363781.296127e-08
0.8156541.7362741.299452e-08
0.8177451.736171.302786e-08
0.8198421.7360671.306128e-08
0.8219441.7359641.309479e-08
0.8240521.7358621.312838e-08
0.8261641.735761.316206e-08
0.8282831.7356591.319583e-08
0.8304071.7355581.322968e-08
0.8325361.7354581.326362e-08
0.8346711.7353581.329765e-08
0.8368111.7352591.333176e-08
0.8389561.735161.336596e-08
0.8411081.7350611.340025e-08
0.8432641.7349631.343463e-08
0.8454261.7348661.346910e-08
0.8475941.7347681.350365e-08
0.8497671.7346721.353829e-08
0.851.7346611.354200e-08
0.8519461.7345751.357299e-08
0.8541311.734481.360776e-08
0.8563211.7343841.364263e-08
0.8585171.7342891.367758e-08
0.8607181.7341951.371263e-08
0.8629251.73411.374776e-08
0.8651371.7340071.378299e-08
0.8673561.7339131.381830e-08
0.869581.733821.385371e-08
0.8718091.7337281.388920e-08
0.8740451.7336361.392479e-08
0.8762861.7335441.396047e-08
0.8785331.7334531.399624e-08
0.8807851.7333621.403210e-08
0.8830441.7332711.406806e-08
0.8853081.7331811.410410e-08
0.8875781.7330911.414024e-08
0.8898541.7330021.417647e-08
0.8921351.7329131.421280e-08
0.8944231.7328241.424921e-08
0.8967161.7327361.428572e-08
0.8990161.7326481.432233e-08
0.91.7326111.433800e-08
0.9013211.732561.435905e-08
0.9036321.7324731.439589e-08
0.9059491.7323861.443282e-08
0.9082721.73231.446985e-08
0.9106011.7322141.450697e-08
0.9129351.7321281.454419e-08
0.9152761.7320431.458150e-08
0.9176231.7319581.461891e-08
0.9199761.7318731.465642e-08
0.9223351.7317891.469402e-08
0.92471.7317051.473172e-08
0.9270711.7316211.476951e-08
0.9294481.7315371.480740e-08
0.9318311.7314541.484539e-08
0.934221.7313721.488347e-08
0.9366161.7312891.492166e-08
0.9390171.7312071.495994e-08
0.9414251.7311251.499832e-08
0.9438391.7310441.503679e-08
0.9462591.7309631.507537e-08
0.9486851.7308821.511405e-08
0.951.7308381.513500e-08
0.9511181.7308011.515280e-08
0.9535571.7307211.519162e-08
0.9560021.7306411.523055e-08
0.9584531.7305621.526957e-08
0.9609111.7304821.530870e-08
0.9633741.7304031.534792e-08
0.9658451.7303251.538725e-08
0.9683211.7302461.542667e-08
0.9708041.7301681.546620e-08
0.9732931.730091.550583e-08
0.9757891.7300131.554556e-08
0.9782911.7299351.558539e-08
0.9807991.7298581.562532e-08
0.9833141.7297811.566536e-08
0.9858351.7297051.570550e-08
0.9883631.7296291.574574e-08
0.9908971.7295531.578609e-08
0.9934381.7294771.582653e-08
0.9959851.7294021.586709e-08
0.9985391.7293261.590774e-08
11.7292841.593100e-08
1.00111.7292511.594852e-08
1.003671.7291771.598942e-08
1.006241.7291021.603042e-08
1.008821.7290281.607153e-08
1.011411.7289541.611275e-08
1.0141.728881.615407e-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
—