Optical constants

Refractive index of D-ZF93-25 (CDGM)

D-ZF93-25: 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
1.99979
Extinction coefficient k
7.69897e-08
Permittivity ε1
3.99916
Permittivity ε2
3.07927e-07
Absorption coefficient α
0.016465 cm⁻¹
Penetration depth δ = λ/(2πk)
1.21470e+09 nm
Abbe number Vd
20.686
Chromatic dispersion dn/dλ
-0.239325 µm⁻¹
Group index ng
2.14042
Group velocity dispersion
516.5 fs²/mm
Dispersion parameter D
-2817.78 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-ZF93-25 (CDGM): D-ZF93-25
cdgm_d_zf93_25 = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-ZF93-25", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_zf93_25.range_nm)  # (435.8, 2325) nm
eps = cdgm_d_zf93_25.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=1.4330228λ2λ2−101.185435+2.13630545λ2λ2−0.0138161232+0.630184037λ2λ2−0.065857845

Valid from 0.4358 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.4330228
C3101.185435
C42.13630545
C50.0138161232
C60.630184037
C70.065857845

Comments and conditions

anneal rate:25°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
1.999800
Vd
20.686444
density
value: 6110
thermal expansion
value: 7.8e-06, temperature range: 243 343; value: 9.4e-06, temperature range: 293 573
dPgF
0.0283
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 = 9.96e-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-ZF93-25 (CDGM), D-ZF93-25: n and k versus wavelength
λ (µm)nk
0.43582.0654112.421671e-06
0.4376332.0640082.210460e-06
0.4394732.0626251.998361e-06
0.442.0622341.937600e-06
0.4413212.0612621.877582e-06
0.4431772.0599181.793256e-06
0.445042.0585931.708575e-06
0.4469122.0572871.623538e-06
0.4487912.0559991.538144e-06
0.4506782.0547291.452390e-06
0.4525732.0534761.366276e-06
0.4544762.0522411.279800e-06
0.4563872.0510221.192960e-06
0.4583062.049821.105755e-06
0.462.0487761.028800e-06
0.4602342.0486341.023563e-06
0.4621692.0474639.801885e-07
0.4641122.0463099.366312e-07
0.4660642.045178.928908e-07
0.4680242.0440458.489664e-07
0.4699922.0429368.048573e-07
0.4719682.0418417.605627e-07
0.4739532.040767.160819e-07
0.4759462.0396936.714140e-07
0.4779472.038646.265584e-07
0.4799572.0376015.815140e-07
0.482.0375795.805500e-07
0.4819752.0365745.568345e-07
0.4840022.0355615.325006e-07
0.4860372.034565.080644e-07
0.4880812.0335724.835255e-07
0.4901332.0325974.588834e-07
0.4921942.0316334.341376e-07
0.4942642.0306824.092878e-07
0.4963432.0297423.843335e-07
0.498432.0288143.592743e-07
0.52.0281253.404200e-07
0.5005262.0278973.379593e-07
0.502632.0269913.281049e-07
0.5047442.0260963.182092e-07
0.5068662.0252123.082718e-07
0.5089982.0243392.982926e-07
0.5111382.0234762.882715e-07
0.5132872.0226232.782082e-07
0.5154462.021782.681026e-07
0.5176132.0209482.579545e-07
0.519792.0201252.477637e-07
0.5219762.0193122.375301e-07
0.5241712.0185082.272535e-07
0.5263752.0177142.169336e-07
0.5285882.0169292.065704e-07
0.5308112.0161531.961635e-07
0.5330432.0153861.857129e-07
0.5352842.0146271.752184e-07
0.5375352.0138781.646797e-07
0.5397962.0131361.540967e-07
0.5420662.0124041.434692e-07
0.5443452.0116791.327971e-07
0.5466342.0109631.220800e-07
0.5489332.0102541.113179e-07
0.552.0099291.063200e-07
0.5512412.0095541.053521e-07
0.5535592.0088611.035439e-07
0.5558872.0081761.017281e-07
0.5582242.0074999.990474e-08
0.5605712.0068299.807367e-08
0.5629292.0061669.623489e-08
0.5652962.0055119.438838e-08
0.5676732.0048639.253411e-08
0.570062.0042229.067204e-08
0.5724572.0035878.880214e-08
0.5748642.002968.692438e-08
0.5772822.0023398.503872e-08
0.5797092.0017258.314513e-08
0.5821472.0011188.124358e-08
0.5845952.0005177.933403e-08
0.5870531.9999227.741646e-08
0.5895221.9993347.549082e-08
0.5920011.9987517.355708e-08
0.594491.9981757.161521e-08
0.596991.9976056.966518e-08
0.59951.9970416.770694e-08
0.61.996936.731700e-08
0.6020211.9964836.712011e-08
0.6045531.9959316.687349e-08
0.6070951.9953846.662583e-08
0.6096481.9948436.637713e-08
0.6122111.9943076.612739e-08
0.6147861.9937776.587659e-08
0.6173711.9932536.562474e-08
0.6199671.9927336.537183e-08
0.6225741.9922196.511786e-08
0.6251921.991716.486282e-08
0.6278211.9912076.460671e-08
0.6304611.9907086.434952e-08
0.6331121.9902146.409125e-08
0.6357741.9897266.383189e-08
0.6384481.9892426.357144e-08
0.6411321.9887636.330990e-08
0.6438281.9882886.304726e-08
0.6465361.9878196.278351e-08
0.6492541.9873546.251865e-08
0.651.9872276.244600e-08
0.6519841.9868936.241298e-08
0.6547261.9864376.236736e-08
0.6574791.9859866.232155e-08
0.6602441.9855386.227554e-08
0.663021.9850966.222934e-08
0.6658081.9846576.218295e-08
0.6686081.9842236.213636e-08
0.6714191.9837936.208958e-08
0.6742431.9833676.204260e-08
0.6770781.9829456.199542e-08
0.6799251.9825276.194804e-08
0.6827841.9821136.190047e-08
0.6856551.9817036.185269e-08
0.6885391.9812966.180472e-08
0.6914341.9808946.175654e-08
0.6943411.9804956.170816e-08
0.6972611.98016.165957e-08
0.71.9797356.161400e-08
0.7001931.9797096.161858e-08
0.7031381.9793226.168830e-08
0.7060941.9789386.175831e-08
0.7090631.9785576.182862e-08
0.7120451.978186.189923e-08
0.7150391.9778076.197013e-08
0.7180461.9774376.204133e-08
0.7210651.977076.211283e-08
0.7240981.9767066.218463e-08
0.7271421.9763466.225673e-08
0.73021.9759896.232914e-08
0.7332711.9756366.240185e-08
0.7363541.9752856.247486e-08
0.739451.9749386.254818e-08
0.742561.9745946.262182e-08
0.7456821.9742526.269576e-08
0.7488181.9739146.277001e-08
0.7519671.9735796.284457e-08
0.7551291.9732476.291945e-08
0.7583041.9729176.299464e-08
0.7614931.9725916.307015e-08
0.7646951.9722676.314598e-08
0.767911.9719466.322212e-08
0.771141.9716286.329859e-08
0.7743821.9713136.337537e-08
0.7776391.9716.345248e-08
0.7809091.970696.352991e-08
0.7841921.9703836.360767e-08
0.787491.9700786.368576e-08
0.7908011.9697766.376417e-08
0.7941271.9694766.384292e-08
0.7974661.9691796.392199e-08
0.81.9689566.398200e-08
0.8008191.9688856.348914e-08
0.8041871.9685936.146347e-08
0.8075681.9683035.942928e-08
0.8109641.9680165.738654e-08
0.8143741.9677315.533521e-08
0.8177991.9674485.327525e-08
0.8212381.9671685.120663e-08
0.8246911.966894.912931e-08
0.8281591.9666144.704325e-08
0.8316411.966344.494843e-08
0.8351381.9660694.284479e-08
0.838651.96584.073231e-08
0.8421771.9655333.861095e-08
0.8457181.9652683.648066e-08
0.8492741.9650053.434142e-08
0.851.9649523.390500e-08
0.8528461.9647443.360904e-08
0.8564321.9644863.323607e-08
0.8600331.9642293.286154e-08
0.863651.9639743.248542e-08
0.8672811.9637223.210773e-08
0.8709281.9634713.172845e-08
0.8745911.9632223.134757e-08
0.8782681.9629753.096509e-08
0.8819621.962733.058100e-08
0.885671.9624873.019530e-08
0.8893941.9622452.980797e-08
0.8931341.9620062.941902e-08
0.896891.9617682.902843e-08
0.91.9615732.870500e-08
0.9006621.9615322.862573e-08
0.9044491.9612982.817194e-08
0.9082521.9610652.771623e-08
0.9120711.9608342.725861e-08
0.9159071.9606052.679907e-08
0.9197581.9603772.633759e-08
0.9236261.9601512.587417e-08
0.927511.9599272.540881e-08
0.931411.9597042.494148e-08
0.9353261.9594832.447220e-08
0.9392591.9592632.400093e-08
0.9432091.9590452.352769e-08
0.9471751.9588292.305246e-08
0.951.9586762.271400e-08
0.9511581.9586142.274168e-08
0.9551581.95842.283727e-08
0.9591741.9581882.293327e-08
0.9632081.9579772.302966e-08
0.9672581.9577682.312647e-08
0.9713251.957562.322368e-08
0.975411.9573532.332129e-08
0.9795111.9571482.341932e-08
0.983631.9569442.351777e-08
0.9877671.9567422.361662e-08
0.991921.9565412.371589e-08
0.9960911.9563412.381558e-08
11.9561552.390900e-08
1.000281.9561422.387625e-08
1.004491.9559452.338399e-08
1.008711.9557482.288965e-08
1.012951.9555532.239323e-08
1.017211.955362.189473e-08
1.021491.9551672.139413e-08
1.025781.9549762.089143e-08
1.03011.9547862.038661e-08
1.034431.9545961.987967e-08
1.038781.9544081.937059e-08
1.043151.9542211.885938e-08
1.047531.9540361.834602e-08
1.051941.9538511.783049e-08
1.056361.9536671.731280e-08
1.061.9535171.688700e-08
1.06081.9534851.689981e-08
1.065261.9533031.697089e-08
1.069741.9531221.704228e-08
1.074241.9529431.711396e-08
1.078761.9527641.718595e-08
1.08331.9525861.725823e-08
1.087851.952411.733083e-08
1.092431.9522341.740372e-08
1.097021.9520591.747693e-08
1.101631.9518851.755044e-08
1.106261.9517121.762426e-08
1.110921.951541.769839e-08
1.115591.9513681.777283e-08
1.120281.9511981.784759e-08
1.124991.9510281.792266e-08
1.129721.9508591.799804e-08
1.134471.9506911.807375e-08
1.139241.9505241.814977e-08
1.144031.9503571.822611e-08
1.148841.9501911.830277e-08
1.153671.9500261.837976e-08
1.158521.9498621.845706e-08
1.16341.9496991.853470e-08
1.168291.9495361.861266e-08
1.17321.9493741.869094e-08
1.178131.9492121.876956e-08
1.183091.9490511.884851e-08
1.188061.9488911.892779e-08
1.193061.9487321.900740e-08
1.198081.9485731.908735e-08
1.21.9485121.911800e-08
1.203111.9484141.951562e-08
1.208171.9482572.016155e-08
1.213251.94812.081019e-08
1.218361.9479432.146156e-08
1.223481.9477872.211566e-08
1.228621.9476322.277252e-08
1.233791.9474772.343214e-08
1.238981.9473222.409454e-08
1.244191.9471692.475972e-08
1.249421.9470152.542770e-08
1.254671.9468622.609848e-08
1.259951.946712.677209e-08
1.265251.9465582.744853e-08
1.270571.9464072.812781e-08
1.275911.9462562.880995e-08
1.281281.9461052.949496e-08
1.286661.9459553.018285e-08
1.292071.9458053.087363e-08
1.297511.9456563.156732e-08
1.302961.9455073.226392e-08
1.308441.9453583.296346e-08
1.313951.945213.366593e-08
1.319471.9450623.437136e-08
1.325021.9449143.507975e-08
1.330591.9447673.579113e-08
1.336191.944623.650549e-08
1.34181.9444733.722286e-08
1.347451.9443273.794325e-08
1.353111.9441813.866666e-08
1.35881.9440353.939312e-08
1.364521.9438894.012263e-08
1.370251.9437444.085521e-08
1.376021.9435984.159087e-08
1.38181.9434544.232962e-08
1.387611.9433094.307148e-08
1.393451.9431644.381646e-08
1.399311.943024.456457e-08
1.41.9430034.465300e-08
1.405191.9428764.548289e-08
1.41111.9427314.642745e-08
1.417031.9425884.737599e-08
1.422991.9424444.832852e-08
1.428981.94234.928505e-08
1.434991.9421575.024560e-08
1.441021.9420135.121019e-08
1.447081.941875.217884e-08
1.453161.9417265.315156e-08
1.459271.9415835.412837e-08
1.465411.941445.510929e-08
1.471571.9412975.609433e-08
1.477761.9411545.708352e-08
1.483981.9410115.807686e-08
1.490221.9408675.907439e-08
1.496481.9407246.007610e-08
1.502771.9405816.108203e-08
1.509091.9404386.209219e-08
1.515441.9402956.310660e-08
1.521811.9401526.412527e-08
1.528211.9400086.514823e-08
1.534641.9398656.617549e-08
1.541091.9397226.720706e-08
1.547571.9395786.824298e-08
1.554081.9394346.928325e-08
1.560611.9392917.032790e-08
1.567181.9391477.137693e-08
1.573771.9390037.243038e-08
1.580381.9388597.348826e-08
1.587031.9387147.455059e-08
1.59371.938577.561739e-08
1.61.9384347.662400e-08
1.60041.9384257.690691e-08
1.607131.938288.161323e-08
1.613891.9381358.633934e-08
1.620681.9379899.108533e-08
1.627491.9378449.585127e-08
1.634341.9376981.006373e-07
1.641211.9375521.054434e-07
1.648111.9374061.102697e-07
1.655041.9372591.151163e-07
1.6621.9371121.199833e-07
1.668991.9369651.248708e-07
1.676011.9368171.297788e-07
1.683061.9366691.347074e-07
1.690131.9365211.396568e-07
1.697241.9363721.446270e-07
1.704381.9362231.496181e-07
1.711541.9360741.546302e-07
1.718741.9359241.596633e-07
1.725971.9357741.647176e-07
1.733231.9356241.697932e-07
1.740511.9354731.748901e-07
1.747831.9353211.800084e-07
1.755181.9351691.851483e-07
1.762561.9350171.903098e-07
1.769981.9348641.954930e-07
1.777421.9347112.006980e-07
1.784891.9345572.059248e-07
1.79241.9344032.111737e-07
1.799941.9342482.164446e-07
1.81.9342472.164900e-07
1.80751.9340922.315011e-07
1.81511.9339362.467058e-07
1.822741.933782.619744e-07
1.83041.9336232.773072e-07
1.83811.9334652.927045e-07
1.845831.9333073.081665e-07
1.853591.9331483.236935e-07
1.861381.9329883.392859e-07
1.869211.9328283.549438e-07
1.877071.9326673.706675e-07
1.884961.9325063.864574e-07
1.892891.9323444.023136e-07
1.900851.9321814.182366e-07
1.908841.9320174.342265e-07
1.916871.9318534.502836e-07
1.924931.9316884.664082e-07
1.933031.9315224.826007e-07
1.941151.9313554.988612e-07
1.949321.9311885.151901e-07
1.957511.9310195.315877e-07
1.965741.930855.480543e-07
1.974011.9306815.645900e-07
1.982311.930515.811954e-07
1.990651.9303385.978705e-07
1.999021.9301666.146158e-07
21.9301466.165800e-07
2.007421.9299936.650560e-07
2.015871.9298187.201743e-07
2.024341.9296437.755243e-07
2.032851.9294678.311071e-07
2.04141.929298.869236e-07
2.049991.9291129.429748e-07
2.058611.9289339.992617e-07
2.067261.9287531.055785e-06
2.075961.9285721.112547e-06
2.084691.928391.169547e-06
2.093451.9282071.226786e-06
2.102261.9280231.284267e-06
2.11111.9278381.341989e-06
2.119971.9276521.399953e-06
2.128891.9274641.458162e-06
2.137841.9272761.516615e-06
2.146831.9270861.575314e-06
2.155861.9268951.634260e-06
2.164921.9267031.693454e-06
2.174031.926511.752897e-06
2.183171.9263161.812590e-06
2.192351.926121.872533e-06
2.21.9259571.922500e-06
2.201571.9259231.954520e-06
2.210821.9257252.143747e-06
2.220121.9255262.333769e-06
2.229461.9253252.524591e-06
2.238831.9251232.716215e-06
2.248251.9249192.908645e-06
2.25771.9247153.101883e-06
2.267191.9245093.295935e-06
2.276731.9243013.490802e-06
2.28631.9240923.686489e-06
2.295911.9238823.882999e-06
2.305571.923674.080335e-06
2.315261.9234574.278501e-06
2.3251.9232424.477500e-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
—