Optical constants

Refractive index of D-ZF93 (CDGM)

D-ZF93: n,k 0.4358–2.325 µm

Data
formula 2 + tabulated k
Range
0.4358–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4358–2.325 µm
Refractive index n
2.00169
Extinction coefficient k
7.69897e-08
Permittivity ε1
4.00677
Permittivity ε2
3.08219e-07
Absorption coefficient α
0.016465 cm⁻¹
Penetration depth δ = λ/(2πk)
1.21470e+09 nm
Abbe number Vd
20.7
Chromatic dispersion dn/dλ
-0.23962 µm⁻¹
Group index ng
2.14249
Group velocity dispersion
516.985 fs²/mm
Dispersion parameter D
-2820.43 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

# D-ZF93 (CDGM): D-ZF93
cdgm_d_zf93 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZF93", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zf93.range_nm)  # (435.8, 2325) nm
eps = cdgm_d_zf93.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=1.51323628λ2λ2−106.262695+2.16740096λ2λ2−0.014231857+0.606108042λ2λ2−0.0666586743

Valid from 0.4358 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.51323628
C3106.262695
C42.16740096
C50.014231857
C60.606108042
C70.0666586743

Comments and conditions

anneal rate:4°C/h

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.28e-05 3.34e-08 -1.53e-10 2.75e-06 2.52e-09 0.299
nd
2.001700
Vd
20.700195
density
value: 6110
thermal expansion
value: 7.8e-06, temperature range: 243 343; value: 9.4e-06, temperature range: 293 573
dPgF
0.0285
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.61e-05 K⁻¹ at 633 nm, dn/dT = 1.04e-05 K⁻¹ at 1310 nm, dn/dT = 9.98e-06 K⁻¹ at 1550 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 420 wavelengths, the same grid as the API and the library
D-ZF93 (CDGM), D-ZF93: n and k versus wavelength
λ (µm)nk
0.43582.0674012.421671e-06
0.4376332.0659952.210460e-06
0.4394732.064611.998361e-06
0.442.0642181.937600e-06
0.4413212.0632441.877582e-06
0.4431772.0618981.793256e-06
0.445042.0605711.708575e-06
0.4469122.0592621.623538e-06
0.4487912.0579721.538144e-06
0.4506782.05671.452390e-06
0.4525732.0554451.366276e-06
0.4544762.0542081.279800e-06
0.4563872.0529871.192960e-06
0.4583062.0517831.105755e-06
0.462.0507381.028800e-06
0.4602342.0505951.023563e-06
0.4621692.0494239.801885e-07
0.4641122.0482679.366312e-07
0.4660642.0471268.928908e-07
0.4680242.0468.489664e-07
0.4699922.0448898.048573e-07
0.4719682.0437937.605627e-07
0.4739532.0427117.160819e-07
0.4759462.0416426.714140e-07
0.4779472.0405886.265584e-07
0.4799572.0395475.815140e-07
0.482.0395255.805500e-07
0.4819752.0385195.568345e-07
0.4840022.0375045.325006e-07
0.4860372.0365035.080644e-07
0.4880812.0355134.835255e-07
0.4901332.0345364.588834e-07
0.4921942.0335724.341376e-07
0.4942642.0326194.092878e-07
0.4963432.0316783.843335e-07
0.498432.0307483.592743e-07
0.52.0300593.404200e-07
0.5005262.029833.379593e-07
0.502632.0289233.281049e-07
0.5047442.0280273.182092e-07
0.5068662.0271423.082718e-07
0.5089982.0262682.982926e-07
0.5111382.0254042.882715e-07
0.5132872.024552.782082e-07
0.5154462.0237072.681026e-07
0.5176132.0228732.579545e-07
0.519792.0220492.477637e-07
0.5219762.0212352.375301e-07
0.5241712.0204312.272535e-07
0.5263752.0196352.169336e-07
0.5285882.0188492.065704e-07
0.5308112.0180721.961635e-07
0.5330432.0173041.857129e-07
0.5352842.0165451.752184e-07
0.5375352.0157941.646797e-07
0.5397962.0150521.540967e-07
0.5420662.0143191.434692e-07
0.5443452.0135931.327971e-07
0.5466342.0128761.220800e-07
0.5489332.0121671.113179e-07
0.552.0118411.063200e-07
0.5512412.0114661.053521e-07
0.5535592.0107721.035439e-07
0.5558872.0100861.017281e-07
0.5582242.0094089.990474e-08
0.5605712.0087389.807367e-08
0.5629292.0080749.623489e-08
0.5652962.0074189.438838e-08
0.5676732.0067699.253411e-08
0.570062.0061279.067204e-08
0.5724572.0054928.880214e-08
0.5748642.0048648.692438e-08
0.5772822.0042428.503872e-08
0.5797092.0036288.314513e-08
0.5821472.0030198.124358e-08
0.5845952.0024187.933403e-08
0.5870532.0018227.741646e-08
0.5895222.0012337.549082e-08
0.5920012.000657.355708e-08
0.594492.0000737.161521e-08
0.596991.9995036.966518e-08
0.59951.9989386.770694e-08
0.61.9988266.731700e-08
0.6020211.9983796.712011e-08
0.6045531.9978266.687349e-08
0.6070951.9972786.662583e-08
0.6096481.9967376.637713e-08
0.6122111.99626.612739e-08
0.6147861.995676.587659e-08
0.6173711.9951446.562474e-08
0.6199671.9946246.537183e-08
0.6225741.994116.511786e-08
0.6251921.99366.486282e-08
0.6278211.9930966.460671e-08
0.6304611.9925966.434952e-08
0.6331121.9921026.409125e-08
0.6357741.9916136.383189e-08
0.6384481.9911286.357144e-08
0.6411321.9906486.330990e-08
0.6438281.9901746.304726e-08
0.6465361.9897036.278351e-08
0.6492541.9892386.251865e-08
0.651.9891116.244600e-08
0.6519841.9887766.241298e-08
0.6547261.988326.236736e-08
0.6574791.9878686.232155e-08
0.6602441.987426.227554e-08
0.663021.9869766.222934e-08
0.6658081.9865376.218295e-08
0.6686081.9861026.213636e-08
0.6714191.9856726.208958e-08
0.6742431.9852456.204260e-08
0.6770781.9848226.199542e-08
0.6799251.9844046.194804e-08
0.6827841.9839896.190047e-08
0.6856551.9835796.185269e-08
0.6885391.9831726.180472e-08
0.6914341.9827696.175654e-08
0.6943411.982376.170816e-08
0.6972611.9819746.165957e-08
0.71.9816086.161400e-08
0.7001931.9815826.161858e-08
0.7031381.9811946.168830e-08
0.7060941.980816.175831e-08
0.7090631.9804286.182862e-08
0.7120451.9800516.189923e-08
0.7150391.9796776.197013e-08
0.7180461.9793066.204133e-08
0.7210651.9789396.211283e-08
0.7240981.9785756.218463e-08
0.7271421.9782146.225673e-08
0.73021.9778576.232914e-08
0.7332711.9775036.240185e-08
0.7363541.9771516.247486e-08
0.739451.9768046.254818e-08
0.742561.9764596.262182e-08
0.7456821.9761176.269576e-08
0.7488181.9757786.277001e-08
0.7519671.9754426.284457e-08
0.7551291.975116.291945e-08
0.7583041.974786.299464e-08
0.7614931.9744536.307015e-08
0.7646951.9741296.314598e-08
0.767911.9738076.322212e-08
0.771141.9734896.329859e-08
0.7743821.9731736.337537e-08
0.7776391.972866.345248e-08
0.7809091.9725496.352991e-08
0.7841921.9722416.360767e-08
0.787491.9719366.368576e-08
0.7908011.9716336.376417e-08
0.7941271.9713336.384292e-08
0.7974661.9710366.392199e-08
0.81.9708126.398200e-08
0.8008191.9707416.348914e-08
0.8041871.9704486.146347e-08
0.8075681.9701585.942928e-08
0.8109641.969875.738654e-08
0.8143741.9695845.533521e-08
0.8177991.9693015.327525e-08
0.8212381.9690215.120663e-08
0.8246911.9687424.912931e-08
0.8281591.9684664.704325e-08
0.8316411.9681924.494843e-08
0.8351381.967924.284479e-08
0.838651.967654.073231e-08
0.8421771.9673833.861095e-08
0.8457181.9671173.648066e-08
0.8492741.9668543.434142e-08
0.851.9668013.390500e-08
0.8528461.9665933.360904e-08
0.8564321.9663343.323607e-08
0.8600331.9660773.286154e-08
0.863651.9658213.248542e-08
0.8672811.9655683.210773e-08
0.8709281.9653173.172845e-08
0.8745911.9650683.134757e-08
0.8782681.964823.096509e-08
0.8819621.9645753.058100e-08
0.885671.9643313.019530e-08
0.8893941.9640892.980797e-08
0.8931341.9638492.941902e-08
0.896891.9636112.902843e-08
0.91.9634162.870500e-08
0.9006621.9633742.862573e-08
0.9044491.963142.817194e-08
0.9082521.9629062.771623e-08
0.9120711.9626752.725861e-08
0.9159071.9624452.679907e-08
0.9197581.9622172.633759e-08
0.9236261.9619912.587417e-08
0.927511.9617662.540881e-08
0.931411.9615432.494148e-08
0.9353261.9613212.447220e-08
0.9392591.9611012.400093e-08
0.9432091.9608832.352769e-08
0.9471751.9606662.305246e-08
0.951.9605132.271400e-08
0.9511581.960452.274168e-08
0.9551581.9602362.283727e-08
0.9591741.9600242.293327e-08
0.9632081.9598132.302966e-08
0.9672581.9596032.312647e-08
0.9713251.9593942.322368e-08
0.975411.9591872.332129e-08
0.9795111.9589822.341932e-08
0.983631.9587782.351777e-08
0.9877671.9585752.361662e-08
0.991921.9583732.371589e-08
0.9960911.9581732.381558e-08
11.9579872.390900e-08
1.000281.9579742.387625e-08
1.004491.9577762.338399e-08
1.008711.9575792.288965e-08
1.012951.9573842.239323e-08
1.017211.957192.189473e-08
1.021491.9569972.139413e-08
1.025781.9568052.089143e-08
1.03011.9566142.038661e-08
1.034431.9564251.987967e-08
1.038781.9562361.937059e-08
1.043151.9560491.885938e-08
1.047531.9558631.834602e-08
1.051941.9556781.783049e-08
1.056361.9554941.731280e-08
1.061.9553441.688700e-08
1.06081.9553111.689981e-08
1.065261.9551281.697089e-08
1.069741.9549471.704228e-08
1.074241.9547671.711396e-08
1.078761.9545881.718595e-08
1.08331.954411.725823e-08
1.087851.9542331.733083e-08
1.092431.9540571.740372e-08
1.097021.9538821.747693e-08
1.101631.9537071.755044e-08
1.106261.9535341.762426e-08
1.110921.9533611.769839e-08
1.115591.9531891.777283e-08
1.120281.9530191.784759e-08
1.124991.9528481.792266e-08
1.129721.9526791.799804e-08
1.134471.9525111.807375e-08
1.139241.9523431.814977e-08
1.144031.9521761.822611e-08
1.148841.952011.830277e-08
1.153671.9518451.837976e-08
1.158521.951681.845706e-08
1.16341.9515161.853470e-08
1.168291.9513531.861266e-08
1.17321.951191.869094e-08
1.178131.9510281.876956e-08
1.183091.9508671.884851e-08
1.188061.9507071.892779e-08
1.193061.9505471.900740e-08
1.198081.9503881.908735e-08
1.21.9503271.911800e-08
1.203111.9502291.951562e-08
1.208171.9500712.016155e-08
1.213251.9499132.081019e-08
1.218361.9497572.146156e-08
1.223481.94962.211566e-08
1.228621.9494442.277252e-08
1.233791.9492892.343214e-08
1.238981.9491342.409454e-08
1.244191.948982.475972e-08
1.249421.9488272.542770e-08
1.254671.9486732.609848e-08
1.259951.9485212.677209e-08
1.265251.9483682.744853e-08
1.270571.9482172.812781e-08
1.275911.9480652.880995e-08
1.281281.9479142.949496e-08
1.286661.9477643.018285e-08
1.292071.9476143.087363e-08
1.297511.9474643.156732e-08
1.302961.9473143.226392e-08
1.308441.9471653.296346e-08
1.313951.9470173.366593e-08
1.319471.9468693.437136e-08
1.325021.9467213.507975e-08
1.330591.9465733.579113e-08
1.336191.9464263.650549e-08
1.34181.9462793.722286e-08
1.347451.9461323.794325e-08
1.353111.9459853.866666e-08
1.35881.9458393.939312e-08
1.364521.9456934.012263e-08
1.370251.9455474.085521e-08
1.376021.9454024.159087e-08
1.38181.9452564.232962e-08
1.387611.9451114.307148e-08
1.393451.9449664.381646e-08
1.399311.9448224.456457e-08
1.41.9448054.465300e-08
1.405191.9446774.548289e-08
1.41111.9445334.642745e-08
1.417031.9443884.737599e-08
1.422991.9442444.832852e-08
1.428981.94414.928505e-08
1.434991.9439565.024560e-08
1.441021.9438135.121019e-08
1.447081.9436695.217884e-08
1.453161.9435255.315156e-08
1.459271.9433825.412837e-08
1.465411.9432385.510929e-08
1.471571.9430955.609433e-08
1.477761.9429515.708352e-08
1.483981.9428085.807686e-08
1.490221.9426645.907439e-08
1.496481.9425216.007610e-08
1.502771.9423786.108203e-08
1.509091.9422346.209219e-08
1.515441.9420916.310660e-08
1.521811.9419476.412527e-08
1.528211.9418036.514823e-08
1.534641.941666.617549e-08
1.541091.9415166.720706e-08
1.547571.9413726.824298e-08
1.554081.9412286.928325e-08
1.560611.9410847.032790e-08
1.567181.940947.137693e-08
1.573771.9407967.243038e-08
1.580381.9406517.348826e-08
1.587031.9405067.455059e-08
1.59371.9403627.561739e-08
1.61.9402257.662400e-08
1.60041.9402177.690691e-08
1.607131.9400718.161323e-08
1.613891.9399268.633934e-08
1.620681.939789.108533e-08
1.627491.9396349.585127e-08
1.634341.9394881.006373e-07
1.641211.9393421.054434e-07
1.648111.9391951.102697e-07
1.655041.9390481.151163e-07
1.6621.9389011.199833e-07
1.668991.9387531.248708e-07
1.676011.9386051.297788e-07
1.683061.9384571.347074e-07
1.690131.9383091.396568e-07
1.697241.938161.446270e-07
1.704381.9380111.496181e-07
1.711541.9378611.546302e-07
1.718741.9377111.596633e-07
1.725971.9375611.647176e-07
1.733231.937411.697932e-07
1.740511.9372581.748901e-07
1.747831.9371071.800084e-07
1.755181.9369551.851483e-07
1.762561.9368021.903098e-07
1.769981.9366491.954930e-07
1.777421.9364952.006980e-07
1.784891.9363412.059248e-07
1.79241.9361872.111737e-07
1.799941.9360322.164446e-07
1.81.936032.164900e-07
1.80751.9358762.315011e-07
1.81511.935722.467058e-07
1.822741.9355632.619744e-07
1.83041.9354062.773072e-07
1.83811.9352482.927045e-07
1.845831.9350893.081665e-07
1.853591.934933.236935e-07
1.861381.934773.392859e-07
1.869211.934613.549438e-07
1.877071.9344493.706675e-07
1.884961.9342873.864574e-07
1.892891.9341244.023136e-07
1.900851.9339614.182366e-07
1.908841.9337974.342265e-07
1.916871.9336334.502836e-07
1.924931.9334684.664082e-07
1.933031.9333014.826007e-07
1.941151.9331354.988612e-07
1.949321.9329675.151901e-07
1.957511.9327995.315877e-07
1.965741.9326295.480543e-07
1.974011.9324595.645900e-07
1.982311.9322885.811954e-07
1.990651.9321175.978705e-07
1.999021.9319446.146158e-07
21.9319246.165800e-07
2.007421.9317716.650560e-07
2.015871.9315967.201743e-07
2.024341.9314217.755243e-07
2.032851.9312458.311071e-07
2.04141.9310678.869236e-07
2.049991.9308899.429748e-07
2.058611.930719.992617e-07
2.067261.930531.055785e-06
2.075961.9303491.112547e-06
2.084691.9301671.169547e-06
2.093451.9299841.226786e-06
2.102261.92981.284267e-06
2.11111.9296141.341989e-06
2.119971.9294281.399953e-06
2.128891.929241.458162e-06
2.137841.9290521.516615e-06
2.146831.9288621.575314e-06
2.155861.9286711.634260e-06
2.164921.9284791.693454e-06
2.174031.9282861.752897e-06
2.183171.9280911.812590e-06
2.192351.9278961.872533e-06
2.21.9277321.922500e-06
2.201571.9276991.954520e-06
2.210821.9275012.143747e-06
2.220121.9273012.333769e-06
2.229461.92712.524591e-06
2.238831.9268982.716215e-06
2.248251.9266952.908645e-06
2.25771.926493.101883e-06
2.267191.9262843.295935e-06
2.276731.9260773.490802e-06
2.28631.9258683.686489e-06
2.295911.9256573.882999e-06
2.305571.9254464.080335e-06
2.315261.9252324.278501e-06
2.3251.9250184.477500e-06

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
—