Optical constants

Refractive index of H-ZLAF68B (CDGM)

H-ZLAF68B: 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
1.883
Extinction coefficient k
2.81403e-08
Permittivity ε1
3.54569
Permittivity ε2
1.05976e-07
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
40.807
Chromatic dispersion dn/dλ
-0.110447 µm⁻¹
Group index ng
1.9479
Group velocity dispersion
207.253 fs²/mm
Dispersion parameter D
-1130.68 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

# H-ZLAF68B (CDGM): H-ZLAF68B
cdgm_h_zlaf68b = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF68B", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf68b.range_nm)  # (365, 1014) nm
eps = cdgm_h_zlaf68b.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=3.43418261−0.0106199538⁢λ2.0+0.0400046303⁢λ−2.0−0.000637942235⁢λ−4.0+0.000216353029⁢λ−6.0−8.49876445×10-6⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C13.43418261
C2-0.0106199538
C32.0
C40.0400046303
C5-2.0
C6-0.000637942235
C7-4.0
C80.000216353029
C9-6.0
C10-8.49876445e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.45e-07 1.47e-08 -7.21e-11 7.69e-07 2.19e-10 0.208
nd
1.883004
Vd
40.806875
glass code
883408
glass status
preferred
density
value: 5530
thermal expansion
value: 6.8e-06, temperature range: 243 343; value: 8.4e-06, temperature range: 293 573
dPgF
-0.0067
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.68e-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
H-ZLAF68B (CDGM), H-ZLAF68B: n and k versus wavelength
λ (µm)nk
0.3651.939491.784800e-06
0.3659361.9389691.690687e-06
0.3668741.9384511.596332e-06
0.3678151.9379361.501736e-06
0.3687581.9374251.406897e-06
0.3697041.9369171.311815e-06
0.371.9367591.282000e-06
0.3706511.9364131.249460e-06
0.3716021.9359121.201989e-06
0.3725551.9354151.154397e-06
0.373511.9349211.106683e-06
0.3744681.9344311.058846e-06
0.3754281.9339431.010886e-06
0.376391.9334599.628040e-07
0.3773561.9329799.145984e-07
0.3783231.9325018.662691e-07
0.3792931.9320278.178160e-07
0.381.9316847.825100e-07
0.3802661.9315567.752171e-07
0.3812411.9310887.484543e-07
0.3822181.9306237.216230e-07
0.3831981.9301626.947228e-07
0.3841811.9297036.677537e-07
0.3851661.9292486.407154e-07
0.3861541.9287966.136078e-07
0.3871441.9283475.864307e-07
0.3881361.92795.591839e-07
0.3891321.9274575.318673e-07
0.391.9270745.080300e-07
0.3901291.9270175.060726e-07
0.391131.926584.909306e-07
0.3921331.9261454.757499e-07
0.3931381.9257144.605302e-07
0.3941461.9252864.452715e-07
0.3951571.924864.299737e-07
0.396171.9244374.146367e-07
0.3971861.9240173.992603e-07
0.3982041.92363.838445e-07
0.3992251.9231863.683892e-07
0.41.9228743.566600e-07
0.4002491.9227753.548402e-07
0.4012751.9223663.473330e-07
0.4023041.921963.398066e-07
0.4033351.9215563.322608e-07
0.404371.9211563.246958e-07
0.4054071.9207583.171113e-07
0.4064461.9203623.095074e-07
0.4074881.919973.018840e-07
0.4085331.919582.942410e-07
0.4095811.9191922.865784e-07
0.4106311.9188072.788962e-07
0.4116841.9184252.711943e-07
0.4127391.9180452.634727e-07
0.4137981.9176672.557312e-07
0.4148591.9172922.479699e-07
0.4159221.916922.401887e-07
0.4169891.916552.323875e-07
0.4180581.9161822.245664e-07
0.419131.9158172.167252e-07
0.421.9155232.103600e-07
0.4202051.9154552.097825e-07
0.4212821.9150942.067403e-07
0.4223621.9147362.036904e-07
0.4234451.914382.006326e-07
0.4245311.9140271.975670e-07
0.4256191.9136761.944935e-07
0.4267111.9133271.914122e-07
0.4278051.9129811.883229e-07
0.4289021.9126361.852257e-07
0.4300021.9122941.821206e-07
0.4311041.9119551.790075e-07
0.4322091.9116171.758865e-07
0.4333181.9112821.727574e-07
0.4344291.9109481.696203e-07
0.4355431.9106171.664752e-07
0.4366591.9102881.633220e-07
0.4377791.9099611.601607e-07
0.4389021.9096361.569913e-07
0.441.9093211.538900e-07
0.4400271.9093141.538277e-07
0.4411551.9089931.512237e-07
0.4422861.9086741.486130e-07
0.443421.9083581.459956e-07
0.4445571.9080431.433714e-07
0.4456971.907731.407406e-07
0.446841.907421.381030e-07
0.4479861.9071111.354586e-07
0.4491351.9068051.328075e-07
0.4502861.90651.301495e-07
0.4514411.9061971.274848e-07
0.4525981.9058961.248132e-07
0.4537591.9055971.221348e-07
0.4549221.90531.194495e-07
0.4560891.9050041.167573e-07
0.4572581.9047111.140582e-07
0.4584311.9044191.113522e-07
0.4596061.904131.086392e-07
0.461.9040331.077300e-07
0.4607851.9038421.066842e-07
0.4619661.9035551.051091e-07
0.4631511.9032711.035300e-07
0.4643381.9029881.019469e-07
0.4655291.9027071.003597e-07
0.4667221.9024289.876843e-08
0.4679191.9021519.717309e-08
0.4691191.9018759.557366e-08
0.4703221.9016019.397012e-08
0.4715281.9013289.236248e-08
0.4727371.9010589.075071e-08
0.4739491.9007898.913481e-08
0.4751641.9005218.751477e-08
0.4763821.9002558.589057e-08
0.4776041.8999918.426221e-08
0.4788291.8997298.262967e-08
0.481.899488.106800e-08
0.4800561.8994688.100907e-08
0.4812871.8992087.972075e-08
0.4825211.8989517.842911e-08
0.4837581.8986947.713417e-08
0.4849991.8984397.583591e-08
0.4862421.8981867.453432e-08
0.4874891.8979357.322939e-08
0.4887391.8976847.192111e-08
0.4899921.8974367.060948e-08
0.4912491.8971896.929449e-08
0.4925081.8969436.797613e-08
0.4937711.8966996.665438e-08
0.4950371.8964566.532925e-08
0.4963071.8962146.400072e-08
0.4975791.8959756.266878e-08
0.4988551.8957366.133342e-08
0.51.8955246.013500e-08
0.5001341.8954996.004436e-08
0.5014161.8952635.917760e-08
0.5027021.8950295.830861e-08
0.5039911.8947965.743740e-08
0.5052831.8945645.656395e-08
0.5065791.8943345.568826e-08
0.5078781.8941055.481032e-08
0.509181.8938785.393014e-08
0.5104861.8936515.304769e-08
0.5117951.8934275.216299e-08
0.5131071.8932035.127601e-08
0.5144231.8929815.038677e-08
0.5157421.892764.949524e-08
0.5170641.892544.860142e-08
0.518391.8923214.770532e-08
0.5197191.8921044.680692e-08
0.5210521.8918884.590621e-08
0.5223881.8916744.500319e-08
0.5237271.891464.409786e-08
0.525071.8912484.319021e-08
0.5264161.8910374.228023e-08
0.5277661.8908274.136791e-08
0.5291191.8906184.045326e-08
0.5304761.8904113.953626e-08
0.5318361.8902043.861691e-08
0.53321.8899993.769520e-08
0.5345671.8897953.677113e-08
0.5359381.8895923.584469e-08
0.5373121.8893913.491588e-08
0.538691.889193.398468e-08
0.5400711.8889913.305110e-08
0.5414561.8887923.211512e-08
0.5428441.8885953.117674e-08
0.5442361.8883993.023596e-08
0.5456311.8882042.929276e-08
0.547031.888012.834714e-08
0.5484331.8878172.739910e-08
0.5498391.8876252.644863e-08
0.551.8876032.634000e-08
0.5512491.8874342.639981e-08
0.5526631.8872452.646748e-08
0.554081.8870562.653533e-08
0.55551.8868682.660336e-08
0.5569251.8866822.667155e-08
0.5583531.8864962.673993e-08
0.5597841.8863122.680848e-08
0.561221.8861282.687720e-08
0.5626591.8859462.694610e-08
0.5641011.8857642.701518e-08
0.5655481.8855842.708443e-08
0.5669981.8854042.715386e-08
0.5684521.8852252.722347e-08
0.5699091.8850482.729326e-08
0.5713711.8848712.736323e-08
0.5728361.8846952.743337e-08
0.5743041.8845212.750370e-08
0.5757771.8843472.757420e-08
0.5772531.8841742.764489e-08
0.5787331.8840022.771576e-08
0.5802171.8838312.778681e-08
0.5817051.8836612.785804e-08
0.5831971.8834912.792946e-08
0.5846921.8833232.800106e-08
0.5861911.8831552.807284e-08
0.5876941.8829892.814480e-08
0.5892011.8828232.821695e-08
0.5907121.8826582.828929e-08
0.5922271.8824942.836181e-08
0.5937451.8823312.843452e-08
0.5952681.8821692.850741e-08
0.5967941.8820082.858049e-08
0.5983241.8818472.865376e-08
0.5998581.8816872.872721e-08
0.61.8816732.873400e-08
0.6013961.8815292.894627e-08
0.6029381.881372.918069e-08
0.6044841.8812132.941571e-08
0.6060341.8810572.965133e-08
0.6075881.8809012.988756e-08
0.6091461.8807463.012439e-08
0.6107081.8805923.036183e-08
0.6122741.8804393.059988e-08
0.6138441.8802873.083854e-08
0.6154181.8801353.107781e-08
0.6169961.8799843.131770e-08
0.6185781.8798343.155820e-08
0.6201641.8796853.179932e-08
0.6217541.8795363.204105e-08
0.6233481.8793893.228341e-08
0.6249471.8792413.252638e-08
0.6265491.8790953.276998e-08
0.6281561.878953.301421e-08
0.6297661.8788053.325906e-08
0.6313811.8786613.350453e-08
0.6331.8785173.375064e-08
0.6346231.8783753.399738e-08
0.636251.8782333.424475e-08
0.6378821.8780913.449276e-08
0.6395171.8779513.474140e-08
0.6411571.8778113.499068e-08
0.6428011.8776723.524060e-08
0.6444491.8775333.549115e-08
0.6461021.8773963.574236e-08
0.6477581.8772593.599420e-08
0.6494191.8771223.624669e-08
0.651.8770753.633500e-08
0.6510841.8769863.639561e-08
0.6527541.8768513.648893e-08
0.6544271.8767173.658249e-08
0.6561051.8765833.667629e-08
0.6577881.876453.677033e-08
0.6594741.8763183.686462e-08
0.6611651.8761863.695914e-08
0.6628611.8760553.705391e-08
0.664561.8759243.714892e-08
0.6662641.8757943.724417e-08
0.6679731.8756653.733967e-08
0.6696851.8755373.743541e-08
0.6714021.8754093.753140e-08
0.6731241.8752813.762763e-08
0.674851.8751543.772411e-08
0.676581.8750283.782084e-08
0.6783151.8749033.791781e-08
0.6800541.8747783.801504e-08
0.6817981.8746533.811251e-08
0.6835461.874533.821024e-08
0.6852991.8744063.830821e-08
0.6870561.8742843.840644e-08
0.6888181.8741623.850491e-08
0.6905841.874043.860364e-08
0.6923551.8739193.870263e-08
0.694131.8737993.880186e-08
0.695911.8736793.890136e-08
0.6976941.873563.900110e-08
0.6994831.8734423.910110e-08
0.71.8734073.913000e-08
0.7012771.8733243.920136e-08
0.7030751.8732063.930188e-08
0.7048771.8730893.940265e-08
0.7066851.8729733.950368e-08
0.7084971.8728573.960497e-08
0.7103131.8727413.970652e-08
0.7121351.8726273.980834e-08
0.7139611.8725123.991041e-08
0.7157911.8723984.001274e-08
0.7176271.8722854.011534e-08
0.7194671.8721724.021820e-08
0.7213121.872064.032132e-08
0.7231611.8719494.042471e-08
0.7250151.8718374.052836e-08
0.7268741.8717274.063228e-08
0.7287381.8716174.073646e-08
0.7306071.8715074.084091e-08
0.732481.8713984.094563e-08
0.7343581.8712894.105062e-08
0.7362411.8711814.115588e-08
0.7381291.8710734.126141e-08
0.7400221.8709664.136720e-08
0.7419191.8708594.147327e-08
0.7438211.8707534.157961e-08
0.7457291.8706474.168623e-08
0.7476411.8705414.179311e-08
0.7495581.8704374.190028e-08
0.751481.8703324.200771e-08
0.7534061.8702284.211542e-08
0.7553381.8701254.222341e-08
0.7572751.8700224.233167e-08
0.7592171.8699194.244022e-08
0.7611631.8698174.254904e-08
0.7631151.8697154.265814e-08
0.7650721.8696144.276752e-08
0.7670341.8695134.287718e-08
0.7691.8694134.298712e-08
0.7709721.8693134.309734e-08
0.7729491.8692134.320784e-08
0.7749311.8691144.331863e-08
0.7769181.8690154.342971e-08
0.778911.8689174.354106e-08
0.7809071.8688194.365271e-08
0.7829091.8687224.376464e-08
0.7849171.8686254.387685e-08
0.7869291.8685284.398936e-08
0.7889471.8684324.410215e-08
0.790971.8683364.421523e-08
0.7929981.8682414.432860e-08
0.7950321.8681464.444226e-08
0.797071.8680514.455622e-08
0.7991141.8679574.467046e-08
0.81.8679164.472000e-08
0.8011631.8678634.399491e-08
0.8032171.8677694.271396e-08
0.8052771.8676764.142973e-08
0.8073411.8675844.014220e-08
0.8094111.8674913.885137e-08
0.8114871.8673993.755724e-08
0.8135681.8673083.625978e-08
0.8156541.8672173.495900e-08
0.8177451.8671263.365488e-08
0.8198421.8670353.234742e-08
0.8219441.8669453.103661e-08
0.8240521.8668562.972243e-08
0.8261641.8667662.840489e-08
0.8282831.8666772.708397e-08
0.8304071.8665892.575966e-08
0.8325361.86652.443195e-08
0.8346711.8664122.310084e-08
0.8368111.8663252.176632e-08
0.8389561.8662382.042838e-08
0.8411081.8661511.908700e-08
0.8432641.8660641.774219e-08
0.8454261.8659781.639393e-08
0.8475941.8658921.504221e-08
0.8497671.8658061.368702e-08
0.851.8657971.354200e-08
0.8519461.8657211.357299e-08
0.8541311.8656361.360776e-08
0.8563211.8655521.364263e-08
0.8585171.8654681.367758e-08
0.8607181.8653841.371263e-08
0.8629251.86531.374776e-08
0.8651371.8652171.378299e-08
0.8673561.8651341.381830e-08
0.869581.8650511.385371e-08
0.8718091.8649691.388920e-08
0.8740451.8648871.392479e-08
0.8762861.8648051.396047e-08
0.8785331.8647231.399624e-08
0.8807851.8646421.403210e-08
0.8830441.8645611.406806e-08
0.8853081.8644811.410410e-08
0.8875781.8644011.414024e-08
0.8898541.8643211.417647e-08
0.8921351.8642411.421280e-08
0.8944231.8641611.424921e-08
0.8967161.8640821.428572e-08
0.8990161.8640041.432233e-08
0.91.863971.433800e-08
0.9013211.8639251.435905e-08
0.9036321.8638471.439589e-08
0.9059491.8637691.443282e-08
0.9082721.8636911.446985e-08
0.9106011.8636141.450697e-08
0.9129351.8635361.454419e-08
0.9152761.8634591.458150e-08
0.9176231.8633831.461891e-08
0.9199761.8633061.465642e-08
0.9223351.863231.469402e-08
0.92471.8631541.473172e-08
0.9270711.8630791.476951e-08
0.9294481.8630041.480740e-08
0.9318311.8629281.484539e-08
0.934221.8628541.488347e-08
0.9366161.8627791.492166e-08
0.9390171.8627051.495994e-08
0.9414251.8626311.499832e-08
0.9438391.8625571.503679e-08
0.9462591.8624831.507537e-08
0.9486851.862411.511405e-08
0.951.862371.513500e-08
0.9511181.8623371.515280e-08
0.9535571.8622641.519162e-08
0.9560021.8621911.523055e-08
0.9584531.8621191.526957e-08
0.9609111.8620461.530870e-08
0.9633741.8619751.534792e-08
0.9658451.8619031.538725e-08
0.9683211.8618311.542667e-08
0.9708041.861761.546620e-08
0.9732931.8616891.550583e-08
0.9757891.8616181.554556e-08
0.9782911.8615471.558539e-08
0.9807991.8614771.562532e-08
0.9833141.8614071.566536e-08
0.9858351.8613371.570550e-08
0.9883631.8612671.574574e-08
0.9908971.8611971.578609e-08
0.9934381.8611281.582653e-08
0.9959851.8610591.586709e-08
0.9985391.860991.590774e-08
11.8609511.593100e-08
1.00111.8609211.594852e-08
1.003671.8608531.598942e-08
1.006241.8607841.603042e-08
1.008821.8607161.607153e-08
1.011411.8606481.611275e-08
1.0141.860581.615407e-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
—