Optical constants

Refractive index of ZF50 (CDGM)

ZF50: n,k 0.4047–1.014 µm

Data
formula 3 + tabulated k
Range
0.4047–1.014 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4047–1.014 µm
Refractive index n
1.74077
Extinction coefficient k
1.87414e-08
Permittivity ε1
3.03026
Permittivity ε2
6.52489e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
27.768
Chromatic dispersion dn/dλ
-0.134145 µm⁻¹
Group index ng
1.81959
Group velocity dispersion
273.991 fs²/mm
Dispersion parameter D
-1494.77 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

# ZF50 (CDGM): ZF50
cdgm_zf50 = ls.fetch_refractiveindex("specs", "CDGM-optical", "ZF50", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_zf50.range_nm)  # (404.7, 1014) nm
eps = cdgm_zf50.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=2.9228084−0.013029549⁢λ2.0+0.029540007⁢λ−2.0+0.0041308365⁢λ−4.0−0.00044721542⁢λ−6.0+3.7137603×10-5⁢λ−8.0

Valid from 0.4047 to 1.014 µm.

Coefficients as stored
CiValue
C12.9228084
C2-0.013029549
C32.0
C40.029540007
C5-2.0
C60.0041308365
C7-4.0
C8-0.00044721542
C9-6.0
C103.7137603e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.66e-06 2.91e-08 -3.18e-10 1.58e-06 6.74e-10 0.244
nd
1.740770
Vd
27.767880
glass code
741278
glass status
preferred
density
value: 4460
thermal expansion
value: 7.1e-06, temperature range: 243 343; value: 8.7e-06, temperature range: 293 573
dPgF
0.005

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.81e-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 414 wavelengths, the same grid as the API and the library
ZF50 (CDGM), ZF50: n and k versus wavelength
λ (µm)nk
0.40471.7902095.344503e-07
0.4056331.7897085.136112e-07
0.4065681.789214.927242e-07
0.4075051.7887174.717890e-07
0.4084441.7882274.508056e-07
0.4093851.7877414.297739e-07
0.4103291.7872594.086936e-07
0.4112741.7867813.875648e-07
0.4122221.7863063.663872e-07
0.4131721.7858353.451609e-07
0.4141241.7853683.238856e-07
0.4150791.7849043.025614e-07
0.4160351.7844432.811879e-07
0.4169941.7839872.597652e-07
0.4179551.7835332.382932e-07
0.4189191.7830832.167716e-07
0.4198841.7826361.952005e-07
0.421.7825831.926100e-07
0.4208521.7821931.884887e-07
0.4218221.7817531.837956e-07
0.4227941.7813161.790916e-07
0.4237681.7808831.743769e-07
0.4247451.7804521.696512e-07
0.4257241.7800251.649147e-07
0.4267051.7796011.601673e-07
0.4276881.779181.554089e-07
0.4286741.7787621.506395e-07
0.4296621.7783471.458592e-07
0.4306521.7779351.410678e-07
0.4316451.7775251.362654e-07
0.432641.7771191.314520e-07
0.4336371.7767161.266274e-07
0.4346361.7763151.217917e-07
0.4356381.7759181.169449e-07
0.4366421.7755231.120869e-07
0.4376481.775131.072177e-07
0.4386571.7747411.023373e-07
0.4396681.7743549.744563e-08
0.441.7742289.583800e-08
0.4406811.773979.471179e-08
0.4416971.7735899.303229e-08
0.4427151.773219.134892e-08
0.4437351.7728348.966167e-08
0.4447581.772468.797053e-08
0.4457831.7720898.627549e-08
0.446811.771728.457655e-08
0.447841.7713548.287369e-08
0.4488721.770998.116691e-08
0.4499061.7706297.945619e-08
0.4509431.770277.774153e-08
0.4519831.7699147.602292e-08
0.4530241.769567.430035e-08
0.4540681.7692087.257381e-08
0.4551151.7688587.084329e-08
0.4561641.7685116.910878e-08
0.4572151.7681666.737027e-08
0.4582691.7678246.562776e-08
0.4593251.7674846.388123e-08
0.461.7672686.276500e-08
0.4603841.7671456.237153e-08
0.4614451.7668096.128317e-08
0.4625081.7664766.019230e-08
0.4635741.7661445.909892e-08
0.4646421.7658145.800301e-08
0.4657131.7654875.690458e-08
0.4667871.7651625.580362e-08
0.4678621.7648395.470012e-08
0.4689411.7645175.359408e-08
0.4700211.7641985.248549e-08
0.4711051.7638815.137434e-08
0.472191.7635665.026063e-08
0.4732791.7632534.914436e-08
0.4743691.7629424.802551e-08
0.4754631.7626324.690409e-08
0.4765591.7623254.578008e-08
0.4776571.762024.465348e-08
0.4787581.7617164.352428e-08
0.4798611.7614154.239248e-08
0.481.7613774.225000e-08
0.4809671.7611154.175242e-08
0.4820761.7608174.118205e-08
0.4831871.7605214.061037e-08
0.48431.7602274.003737e-08
0.4854161.7599343.946305e-08
0.4865351.7596443.888740e-08
0.4876561.7593553.831043e-08
0.488781.7590683.773213e-08
0.4899071.7587823.715250e-08
0.4910361.7584993.657153e-08
0.4921671.7582173.598922e-08
0.4933021.7579373.540557e-08
0.4944391.7576583.482058e-08
0.4955781.7573813.423424e-08
0.496721.7571063.364654e-08
0.4978651.7568333.305749e-08
0.4990131.7565613.246708e-08
0.51.7563293.195900e-08
0.5001631.756293.191211e-08
0.5013151.7560223.157973e-08
0.5024711.7557553.124659e-08
0.5036291.7554893.091268e-08
0.5047891.7552253.057800e-08
0.5059531.7549633.024255e-08
0.5071191.7547022.990633e-08
0.5082881.7544432.956933e-08
0.5094591.7541852.923156e-08
0.5106331.7539292.889301e-08
0.511811.7536742.855367e-08
0.512991.7534212.821356e-08
0.5141721.7531692.787266e-08
0.5153571.7529192.753098e-08
0.5165451.752672.718850e-08
0.5177351.7524222.684524e-08
0.5189281.7521772.650119e-08
0.5201241.7519322.615635e-08
0.5213231.7516892.581071e-08
0.5225251.7514472.546427e-08
0.5237291.7512072.511703e-08
0.5249361.7509682.476900e-08
0.5261461.750732.442016e-08
0.5273581.7504942.407052e-08
0.5285741.7502592.372007e-08
0.5297921.7500262.336882e-08
0.5310131.7497932.301675e-08
0.5322371.7495622.266388e-08
0.5334631.7493332.231019e-08
0.5346931.7491052.195568e-08
0.5359251.7488782.160036e-08
0.537161.7486522.124422e-08
0.5383981.7484272.088726e-08
0.5396391.7482042.052948e-08
0.5408831.7479822.017087e-08
0.5421291.7477621.981144e-08
0.5433791.7475421.945117e-08
0.5446311.7473241.909008e-08
0.5458861.7471071.872815e-08
0.5471441.7468921.836539e-08
0.5484051.7466771.800180e-08
0.5496691.7464641.763736e-08
0.551.7464081.754200e-08
0.5509361.7462521.757186e-08
0.5522061.7460411.761237e-08
0.5534781.7458311.765296e-08
0.5547541.7456221.769365e-08
0.5560331.7454151.773444e-08
0.5573141.7452081.777532e-08
0.5585991.7450031.781629e-08
0.5598861.7447991.785736e-08
0.5611761.7445961.789852e-08
0.562471.7443941.793978e-08
0.5637661.7441941.798113e-08
0.5650651.7439941.802258e-08
0.5663681.7437961.806412e-08
0.5676731.7435981.810576e-08
0.5689811.7434021.814750e-08
0.5702921.7432071.818933e-08
0.5716071.7430131.823126e-08
0.5729241.7428191.827328e-08
0.5742451.7426271.831540e-08
0.5755681.7424361.835762e-08
0.5768951.7422461.839994e-08
0.5782241.7420571.844235e-08
0.5795571.7418691.848486e-08
0.5808921.7416831.852747e-08
0.5822311.7414971.857018e-08
0.5835731.7413121.861298e-08
0.5849181.7411281.865589e-08
0.5862661.7409451.869889e-08
0.5876171.7407631.874199e-08
0.5889721.7405821.878519e-08
0.5903291.7404021.882849e-08
0.5916891.7402231.887189e-08
0.5930531.7400451.891539e-08
0.594421.7398681.895899e-08
0.595791.7396921.900270e-08
0.5971631.7395161.904650e-08
0.5985391.7393421.909040e-08
0.5999191.7391691.913441e-08
0.61.7391591.913700e-08
0.6013011.7389961.904341e-08
0.6026871.7388251.894374e-08
0.6040761.7386541.884385e-08
0.6054681.7384851.874372e-08
0.6068641.7383161.864336e-08
0.6082621.7381481.854277e-08
0.6096641.7379811.844195e-08
0.6110691.7378151.834090e-08
0.6124781.7376491.823961e-08
0.6138891.7374851.813809e-08
0.6153041.7373211.803633e-08
0.6167221.7371591.793435e-08
0.6181431.7369971.783212e-08
0.6195681.7368361.772966e-08
0.6209961.7366761.762697e-08
0.6224271.7365161.752404e-08
0.6238621.7363581.742087e-08
0.62531.73621.731746e-08
0.6267411.7360431.721381e-08
0.6281851.7358871.710993e-08
0.6296331.7357321.700581e-08
0.6310841.7355781.690144e-08
0.6325381.7354241.679684e-08
0.6339961.7352711.669199e-08
0.6354571.7351191.658691e-08
0.6369221.7349681.648158e-08
0.638391.7348181.637601e-08
0.6398611.7346681.627019e-08
0.6413361.7345191.616413e-08
0.6428141.7343711.605783e-08
0.6442951.7342231.595128e-08
0.645781.7340771.584449e-08
0.6472691.7339311.573745e-08
0.648761.7337861.563016e-08
0.651.7336661.554100e-08
0.6502551.7336411.554711e-08
0.6517541.7334981.558292e-08
0.6532561.7333551.561882e-08
0.6547621.7332121.565481e-08
0.6562711.7330711.569087e-08
0.6577831.732931.572702e-08
0.6592991.732791.576325e-08
0.6608191.7326511.579957e-08
0.6623421.7325121.583597e-08
0.6638681.7323741.587245e-08
0.6653981.7322371.590902e-08
0.6669321.73211.594567e-08
0.6684691.7319641.598241e-08
0.6700091.7318291.601923e-08
0.6715541.7316951.605613e-08
0.6731011.7315611.609312e-08
0.6746531.7314271.613020e-08
0.6762071.7312951.616736e-08
0.6777661.7311631.620461e-08
0.6793281.7310321.624194e-08
0.6808941.7309011.627936e-08
0.6824631.7307711.631686e-08
0.6840361.7306421.635445e-08
0.6856121.7305131.639213e-08
0.6871921.7303851.642990e-08
0.6887761.7302581.646775e-08
0.6903631.7301311.650569e-08
0.6919551.7300051.654371e-08
0.6935491.7298791.658183e-08
0.6951481.7297541.662003e-08
0.696751.729631.665832e-08
0.6983561.7295061.669670e-08
0.6999651.7293831.673517e-08
0.71.7293811.673600e-08
0.7015781.7292611.667301e-08
0.7031951.7291391.660848e-08
0.7048161.7290171.654380e-08
0.706441.7288971.647897e-08
0.7080681.7287771.641399e-08
0.70971.7286571.634886e-08
0.7113361.7285381.628358e-08
0.7129751.728421.621816e-08
0.7146181.7283021.615258e-08
0.7162651.7281841.608685e-08
0.7179161.7280681.602096e-08
0.7195711.7279511.595493e-08
0.7212291.7278361.588874e-08
0.7228911.7277211.582240e-08
0.7245571.7276061.575591e-08
0.7262271.7274921.568927e-08
0.7279011.7273791.562247e-08
0.7295791.7272661.555552e-08
0.731261.7271531.548841e-08
0.7329451.7270411.542115e-08
0.7346351.726931.535373e-08
0.7363281.7268191.528616e-08
0.7380251.7267091.521843e-08
0.7397261.7265991.515055e-08
0.741431.726491.508251e-08
0.7431391.7263811.501431e-08
0.7448521.7262731.494596e-08
0.7465691.7261651.487745e-08
0.7482891.7260571.480878e-08
0.7500141.7259511.473995e-08
0.7517421.7258441.467096e-08
0.7534751.7257381.460182e-08
0.7552111.7256331.453251e-08
0.7569521.7255281.446305e-08
0.7586961.7254241.439343e-08
0.7604451.725321.432364e-08
0.7621981.7252161.425370e-08
0.7639541.7251131.418359e-08
0.7657151.7250111.411332e-08
0.767481.7249091.404289e-08
0.7692481.7248071.397230e-08
0.7710211.7247061.390154e-08
0.7727981.7246051.383062e-08
0.7745791.7245051.375954e-08
0.7763641.7244051.368829e-08
0.7781541.7243061.361688e-08
0.7799471.7242071.354531e-08
0.7817451.7241091.347357e-08
0.7835461.724011.340167e-08
0.7853521.7239131.332959e-08
0.7871621.7238161.325736e-08
0.7889761.7237191.318495e-08
0.7907951.7236221.311238e-08
0.7926171.7235271.303965e-08
0.7944441.7234311.296674e-08
0.7962751.7233361.289367e-08
0.798111.7232411.282043e-08
0.7999491.7231471.274702e-08
0.81.7231441.274500e-08
0.8017931.7230531.277358e-08
0.8036411.7229591.280304e-08
0.8054931.7228661.283256e-08
0.807351.7227741.286215e-08
0.809211.7226811.289181e-08
0.8110751.7225891.292154e-08
0.8129441.7224981.295133e-08
0.8148181.7224071.298120e-08
0.8166961.7223161.301113e-08
0.8185781.7222251.304114e-08
0.8204651.7221351.307121e-08
0.8223561.7220461.310135e-08
0.8242511.7219571.313156e-08
0.8261511.7218681.316184e-08
0.8280551.7217791.319219e-08
0.8299631.7216911.322261e-08
0.8318761.7216031.325310e-08
0.8337931.7215161.328366e-08
0.8357151.7214281.331429e-08
0.8376411.7213421.334499e-08
0.8395711.7212551.337576e-08
0.8415061.7211691.340661e-08
0.8434461.7210831.343752e-08
0.8453891.7209981.346851e-08
0.8473381.7209131.349956e-08
0.8492911.7208281.353069e-08
0.851.7207981.354200e-08
0.8512481.7207441.356187e-08
0.853211.720661.359310e-08
0.8551761.7205761.362441e-08
0.8571471.7204931.365578e-08
0.8591231.720411.368723e-08
0.8611031.7203271.371875e-08
0.8630871.7202441.375035e-08
0.8650761.7201621.378202e-08
0.867071.720081.381376e-08
0.8690681.7199991.384557e-08
0.8710711.7199181.387746e-08
0.8730791.7198371.390942e-08
0.8750911.7197561.394145e-08
0.8771081.7196761.397356e-08
0.8791291.7195961.400574e-08
0.8811551.7195161.403799e-08
0.8831861.7194371.407032e-08
0.8852221.7193581.410273e-08
0.8872621.7192791.413521e-08
0.8893071.7192011.416776e-08
0.8913561.7191221.420039e-08
0.8934111.7190441.423310e-08
0.895471.7189671.426588e-08
0.8975331.7188891.429873e-08
0.8996021.7188121.433166e-08
0.91.7187971.433800e-08
0.9016751.7187351.436470e-08
0.9037531.7186591.439783e-08
0.9058361.7185821.443103e-08
0.9079241.7185061.446431e-08
0.9100161.7184311.449766e-08
0.9121141.7183551.453109e-08
0.9142161.718281.456460e-08
0.9163231.7182051.459818e-08
0.9184351.718131.463185e-08
0.9205511.7180561.466559e-08
0.9226731.7179811.469941e-08
0.9247991.7179081.473330e-08
0.9269311.7178341.476728e-08
0.9290671.717761.480133e-08
0.9312081.7176871.483546e-08
0.9333541.7176141.486967e-08
0.9355051.7175411.490396e-08
0.9376611.7174691.493832e-08
0.9398221.7173971.497277e-08
0.9419881.7173241.500730e-08
0.9441591.7172531.504190e-08
0.9463351.7171811.507659e-08
0.9485161.717111.511135e-08
0.951.7170611.513500e-08
0.9507031.7170391.514618e-08
0.9528941.7169681.518107e-08
0.955091.7168971.521603e-08
0.9572911.7168261.525107e-08
0.9594971.7167561.528619e-08
0.9617081.7166861.532140e-08
0.9639251.7166161.535668e-08
0.9661461.7165471.539205e-08
0.9683731.7164771.542750e-08
0.9706051.7164081.546303e-08
0.9728421.7163391.549864e-08
0.9750841.716271.553434e-08
0.9773311.7162021.557011e-08
0.9795841.7161331.560597e-08
0.9818411.7160651.564191e-08
0.9841041.7159971.567794e-08
0.9863721.7159291.571405e-08
0.9886451.7158621.575024e-08
0.9909241.7157941.578651e-08
0.9932081.7157271.582287e-08
0.9954971.715661.585931e-08
0.9977911.7155931.589583e-08
11.7155291.593100e-08
1.000091.7155261.593245e-08
1.00241.715461.596917e-08
1.004711.7153931.600598e-08
1.007021.7153271.604287e-08
1.009341.7152611.607985e-08
1.011671.7151961.611692e-08
1.0141.715131.615407e-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
—