Optical constants

Refractive index of H-ZLAF75A (CDGM)

H-ZLAF75A: n,k 0.365–2.325 µm

Data
formula 2 + tabulated k
Range
0.365–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.325 µm
Refractive index n
1.90365
Extinction coefficient k
3.50352e-08
Permittivity ε1
3.6239
Permittivity ε2
1.33390e-07
Absorption coefficient α
0.0074926 cm⁻¹
Penetration depth δ = λ/(2πk)
2.66930e+09 nm
Abbe number Vd
31.315
Chromatic dispersion dn/dλ
-0.145597 µm⁻¹
Group index ng
1.98921
Group velocity dispersion
289.7 fs²/mm
Dispersion parameter D
-1580.47 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-ZLAF75A (CDGM): H-ZLAF75A
cdgm_h_zlaf75a = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF75A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf75a.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf75a.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=1.50615126λ2λ2−102.994725+2.18809221λ2λ2−0.0127716105+0.297955776λ2λ2−0.0569661668

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.50615126
C3102.994725
C42.18809221
C50.0127716105
C60.297955776
C70.0569661668

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.63e-06 1.36e-08 -3.31e-11 9.08e-07 1.12e-09 0.265
nd
1.903660
Vd
31.314970
glass code
904313
glass status
standard
density
value: 4560
thermal expansion
value: 7.3e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
0.0029
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 8.06e-08 K⁻¹ at 633 nm, dn/dT = -1.38e-06 K⁻¹ at 1310 nm, dn/dT = -1.49e-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 425 wavelengths, the same grid as the API and the library
H-ZLAF75A (CDGM), H-ZLAF75A: n and k versus wavelength
λ (µm)nk
0.3651.984614.819500e-06
0.3666981.9831094.124413e-06
0.3684031.9816343.426093e-06
0.371.9802832.772400e-06
0.3701171.9801852.756601e-06
0.3718381.978762.524004e-06
0.3735681.9773592.290326e-06
0.3753061.9759812.055560e-06
0.3770511.9746261.819703e-06
0.3788051.9732941.582748e-06
0.381.9724011.421300e-06
0.3805671.9719831.390633e-06
0.3823371.9706931.294893e-06
0.3841161.9694231.198708e-06
0.3859021.9681741.102075e-06
0.3876971.9669441.004993e-06
0.38951.9657349.074591e-07
0.391.9654038.804400e-07
0.3913121.9645428.442499e-07
0.3931321.9633697.940491e-07
0.3949611.9622147.436149e-07
0.3967981.9610766.929460e-07
0.3986441.9599556.420414e-07
0.41.9591456.046300e-07
0.4004981.9588515.982532e-07
0.4023611.9577645.743901e-07
0.4042321.9566925.504160e-07
0.4061121.9556365.263304e-07
0.4080011.9545965.021328e-07
0.4098991.9535714.778226e-07
0.4118061.952564.533994e-07
0.4137211.9515644.288626e-07
0.4156451.9505824.042116e-07
0.4175791.9496143.794460e-07
0.4195211.9486593.545651e-07
0.421.9484263.484300e-07
0.4214721.9477183.403789e-07
0.4234331.946793.296594e-07
0.4254021.9458743.188901e-07
0.4273811.9449713.080706e-07
0.4293691.9440812.972008e-07
0.4313661.9432032.862805e-07
0.4333721.9423362.753093e-07
0.4353881.9414812.642872e-07
0.4374131.9406382.532137e-07
0.4394481.9398052.420888e-07
0.441.9395822.390700e-07
0.4414921.9389842.338094e-07
0.4435451.9381732.265687e-07
0.4456091.9373742.192943e-07
0.4476811.9365842.119861e-07
0.4497641.9358052.046438e-07
0.4518561.9350361.972674e-07
0.4539571.9342761.898567e-07
0.4560691.9335271.824116e-07
0.458191.9327871.749318e-07
0.461.9321651.685500e-07
0.4603211.9320561.677748e-07
0.4624621.9313351.626083e-07
0.4646131.9306221.574178e-07
0.4667751.9299191.522031e-07
0.4689461.9292241.469642e-07
0.4711271.9285381.417009e-07
0.4733181.927861.364131e-07
0.475521.9271911.311008e-07
0.4777321.9265291.257637e-07
0.4799541.9258761.204018e-07
0.481.9258631.202900e-07
0.4821861.9252311.172615e-07
0.4844291.9245931.141544e-07
0.4866821.9239641.110329e-07
0.4889461.9233421.078969e-07
0.491221.9227271.047462e-07
0.4935051.9221191.015809e-07
0.49581.9215199.840093e-08
0.4981071.9209269.520613e-08
0.51.9204469.258300e-08
0.5004231.920349.213410e-08
0.5027511.919768.966615e-08
0.5050891.9191888.718673e-08
0.5074391.9186228.469577e-08
0.5097991.9180628.219323e-08
0.512171.9175097.967905e-08
0.5145531.9169637.715317e-08
0.5169461.9164227.461555e-08
0.519351.9158887.206612e-08
0.5217661.915366.950483e-08
0.5241931.9148386.693163e-08
0.5266311.9143226.434646e-08
0.5290811.9138126.174927e-08
0.5315421.9133075.913999e-08
0.5340141.9128085.651858e-08
0.5364981.9123145.388498e-08
0.5389931.9118265.123913e-08
0.54151.9113444.858097e-08
0.5440191.9108674.591044e-08
0.5465491.9103954.322750e-08
0.5490921.9099284.053207e-08
0.551.9097633.956900e-08
0.5516461.9094663.937056e-08
0.5542121.9090093.906117e-08
0.5567891.9085583.875033e-08
0.5593791.9081113.843806e-08
0.5619811.9076693.812432e-08
0.5645951.9072313.780913e-08
0.5672211.9067993.749247e-08
0.5698591.9063713.717434e-08
0.572511.9059473.685473e-08
0.5751731.9055283.653364e-08
0.5778481.9051143.621105e-08
0.5805361.9047033.588696e-08
0.5832361.9042983.556136e-08
0.5859491.9038963.523425e-08
0.5886751.9034983.490561e-08
0.5914131.9031053.457545e-08
0.5941641.9027163.424375e-08
0.5969271.9023313.391051e-08
0.5997041.9019493.357572e-08
0.61.9019093.354000e-08
0.6024931.9015723.367937e-08
0.6052961.9011993.383602e-08
0.6081111.9008293.399341e-08
0.610941.9004633.415152e-08
0.6137811.9001013.431037e-08
0.6166361.8997423.446996e-08
0.6195041.8993873.463029e-08
0.6223861.8990363.479137e-08
0.6252811.8986883.495319e-08
0.6281891.8983433.511577e-08
0.6311111.8980023.527911e-08
0.6340471.8976653.544320e-08
0.6369961.897333.560806e-08
0.6399591.8969993.577368e-08
0.6429351.8966723.594008e-08
0.6459261.8963473.610725e-08
0.648931.8960263.627520e-08
0.651.8959123.633500e-08
0.6519491.8957073.644392e-08
0.6549811.8953923.661344e-08
0.6580281.895083.678374e-08
0.6610881.8947713.695483e-08
0.6641631.8944643.712672e-08
0.6672521.8941613.729941e-08
0.6703561.8938613.747290e-08
0.6734741.8935633.764720e-08
0.6766071.8932683.782231e-08
0.6797541.8929763.799823e-08
0.6829151.8926873.817498e-08
0.6860921.89243.835254e-08
0.6892831.8921163.853093e-08
0.6924891.8918353.871015e-08
0.695711.8915563.889020e-08
0.6989461.891283.907109e-08
0.71.8911913.913000e-08
0.7021971.8910063.897138e-08
0.7054631.8907353.873560e-08
0.7087451.8904663.849872e-08
0.7120411.89023.826073e-08
0.7153531.8899363.802164e-08
0.7186811.8896753.778144e-08
0.7220231.8894153.754013e-08
0.7253821.8891583.729768e-08
0.7287561.8889043.705412e-08
0.7321461.8886513.680941e-08
0.7355511.8884013.656358e-08
0.7389721.8881533.631659e-08
0.7424091.8879073.606846e-08
0.7458631.8876643.581917e-08
0.7493321.8874223.556873e-08
0.7528171.8871823.531712e-08
0.7563191.8869453.506434e-08
0.7598371.8867093.481038e-08
0.7633711.8864763.455524e-08
0.7669221.8862443.429892e-08
0.7704891.8860153.404140e-08
0.7740731.8857873.378269e-08
0.7776731.8855613.352277e-08
0.781291.8853373.326164e-08
0.7849241.8851153.299930e-08
0.7885751.8848953.273574e-08
0.7922431.8846763.247095e-08
0.7959281.8844593.220493e-08
0.799631.8842443.193768e-08
0.81.8842233.191100e-08
0.803351.8840313.068035e-08
0.8070861.8838192.930759e-08
0.810841.8836092.792843e-08
0.8146121.8834012.654286e-08
0.8184011.8831942.515085e-08
0.8222081.8829892.375236e-08
0.8260321.8827862.234737e-08
0.8298741.8825842.093584e-08
0.8337341.8823831.951775e-08
0.8376121.8821841.809306e-08
0.8415081.8819871.666174e-08
0.8454221.8817911.522377e-08
0.8493551.8815971.377910e-08
0.851.8815651.354200e-08
0.8533051.8814031.359462e-08
0.8572741.8812121.365781e-08
0.8612621.8810211.372129e-08
0.8652681.8808321.378506e-08
0.8692921.8806451.384913e-08
0.8733361.8804591.391350e-08
0.8773981.8802741.397817e-08
0.8814791.880091.404315e-08
0.8855791.8799081.410842e-08
0.8896981.8797271.417399e-08
0.8938361.8795471.423988e-08
0.8979941.8793681.430606e-08
0.91.8792821.433800e-08
0.9021711.879191.437260e-08
0.9063671.8790141.443949e-08
0.9105831.8788391.450669e-08
0.9148181.8786651.457420e-08
0.9190731.8784921.464203e-08
0.9233481.878321.471017e-08
0.9276431.8781491.477863e-08
0.9319581.877981.484741e-08
0.9362931.8778111.491651e-08
0.9406481.8776441.498593e-08
0.9450231.8774771.505567e-08
0.9494191.8773111.512573e-08
0.951.877291.513500e-08
0.9538351.8771471.519605e-08
0.9582711.8769831.526668e-08
0.9627291.8768211.533764e-08
0.9672071.8766591.540893e-08
0.9717051.8764981.548055e-08
0.9762251.8763381.555250e-08
0.9807661.8761791.562479e-08
0.9853281.8760211.569742e-08
0.9899111.8758641.577038e-08
0.9945151.8757071.584368e-08
0.9991411.8755521.591732e-08
11.8755231.593100e-08
1.003791.8753971.599136e-08
1.008461.8752431.606575e-08
1.013151.875091.614049e-08
1.017861.8749371.621558e-08
1.022591.8747851.629101e-08
1.027351.8746341.636680e-08
1.032131.8744841.644293e-08
1.036931.8743351.651943e-08
1.041751.8741861.659628e-08
1.04661.8740381.667348e-08
1.051471.873891.675105e-08
1.056361.8737431.682897e-08
1.061.8736341.688700e-08
1.061271.8735971.690726e-08
1.066211.8734511.698593e-08
1.071171.8733061.706496e-08
1.076151.8731611.714435e-08
1.081151.8730181.722412e-08
1.086181.8728741.730426e-08
1.091241.8727311.738477e-08
1.096311.8725891.746565e-08
1.101411.8724471.754691e-08
1.106531.8723061.762855e-08
1.111681.8721651.771057e-08
1.116851.8720251.779297e-08
1.122051.8718851.787576e-08
1.127271.8717461.795892e-08
1.132511.8716071.804248e-08
1.137781.8714681.812642e-08
1.143071.871331.821076e-08
1.148391.8711931.829549e-08
1.153731.8710551.838061e-08
1.159091.8709181.846612e-08
1.164481.8707821.855204e-08
1.16991.8706451.863835e-08
1.175341.8705091.872507e-08
1.180811.8703741.881219e-08
1.18631.8702381.889971e-08
1.191821.8701031.898764e-08
1.197361.8699691.907598e-08
1.21.8699051.911800e-08
1.202931.8698341.916472e-08
1.208531.86971.925385e-08
1.214151.8695661.934340e-08
1.21981.8694321.943336e-08
1.225471.8692991.952374e-08
1.231171.8691651.961454e-08
1.23691.8690321.970577e-08
1.242651.8688991.979742e-08
1.248431.8687661.988949e-08
1.254241.8686341.998199e-08
1.260071.8685012.007493e-08
1.265931.8683692.016829e-08
1.271821.8682362.026209e-08
1.277741.8681042.035633e-08
1.283681.8679722.045101e-08
1.289651.867842.054612e-08
1.295651.8677082.064168e-08
1.301671.8675762.073768e-08
1.307731.8674442.083413e-08
1.313811.8673122.093103e-08
1.319921.8671812.102837e-08
1.326061.8670492.112617e-08
1.332231.8669172.122443e-08
1.338431.8667852.132314e-08
1.344651.8666532.142231e-08
1.350911.8665212.152195e-08
1.357191.8663892.162204e-08
1.36351.8662572.172260e-08
1.369851.8661252.182363e-08
1.376221.8659922.192513e-08
1.382621.865862.202711e-08
1.389051.8657272.212955e-08
1.395511.8655952.223247e-08
1.41.8655032.230400e-08
1.4021.8654622.233588e-08
1.408521.8653292.243976e-08
1.415071.8651962.254412e-08
1.421661.8650622.264897e-08
1.428271.8649292.275431e-08
1.434911.8647952.286014e-08
1.441591.8646612.296646e-08
1.448291.8645272.307328e-08
1.455031.8643922.318059e-08
1.46181.8642572.328840e-08
1.468591.8641222.339671e-08
1.475431.8639872.350553e-08
1.482291.8638512.361485e-08
1.489181.8637152.372468e-08
1.496111.8635792.383503e-08
1.503071.8634422.394588e-08
1.510061.8633052.405725e-08
1.517081.8631682.416914e-08
1.524141.863032.428155e-08
1.531231.8628922.439448e-08
1.538351.8627532.450794e-08
1.545511.8626142.462193e-08
1.55271.8624752.473644e-08
1.559921.8623352.485149e-08
1.567171.8621942.496707e-08
1.574461.8620532.508319e-08
1.581791.8619122.519985e-08
1.589141.861772.531706e-08
1.596541.8616282.543481e-08
1.61.8615612.549000e-08
1.603961.8614852.669249e-08
1.611421.8613412.895725e-08
1.618921.8611973.123255e-08
1.626451.8610533.351843e-08
1.634011.8609073.581494e-08
1.641611.8607623.812214e-08
1.649251.8606154.044006e-08
1.656921.8604684.276877e-08
1.664631.860324.510831e-08
1.672371.8601724.745873e-08
1.680151.8600234.982008e-08
1.687961.8598735.219242e-08
1.695811.8597235.457579e-08
1.70371.8595715.697025e-08
1.711631.8594195.937584e-08
1.719591.8592676.179263e-08
1.727591.8591136.422065e-08
1.735621.8589596.665997e-08
1.743691.8588046.911064e-08
1.751811.8586487.157270e-08
1.759951.8584917.404622e-08
1.768141.8583347.653124e-08
1.776361.8581757.902782e-08
1.784631.8580168.153601e-08
1.792931.8578568.405587e-08
1.81.8577198.620300e-08
1.801271.8576958.789906e-08
1.809641.8575339.911955e-08
1.818061.857371.103922e-07
1.826521.8572061.217173e-07
1.835011.8570411.330951e-07
1.843551.8568751.445259e-07
1.852121.8567081.560097e-07
1.860741.856541.675470e-07
1.869391.8563711.791380e-07
1.878091.8562011.907829e-07
1.886821.856032.024819e-07
1.89561.8558572.142354e-07
1.904421.8556842.260435e-07
1.913281.8555092.379065e-07
1.922181.8553342.498248e-07
1.931121.8551572.617984e-07
1.94011.8549792.738278e-07
1.949121.8547992.859131e-07
1.958191.8546192.980546e-07
1.96731.8544373.102526e-07
1.976451.8542543.225073e-07
1.985641.854073.348191e-07
1.994881.8538843.471881e-07
21.8537813.540500e-07
2.004161.8536973.668852e-07
2.013481.8535093.956813e-07
2.022841.8533194.246113e-07
2.032251.8531284.536759e-07
2.04171.8529364.828757e-07
2.05121.8527425.122113e-07
2.060741.8525465.416833e-07
2.070331.8523495.712924e-07
2.079961.8521516.010393e-07
2.089631.8519516.309245e-07
2.099351.851756.609487e-07
2.109121.8515476.911126e-07
2.118931.8513427.214168e-07
2.128781.8511367.518619e-07
2.138681.8509287.824486e-07
2.148631.8507198.131776e-07
2.158621.8505088.440496e-07
2.168671.8502958.750651e-07
2.178751.8500819.062249e-07
2.188891.8498649.375296e-07
2.199071.8496469.689800e-07
2.21.8496269.718600e-07
2.20931.8494271.101777e-06
2.219571.8492051.245389e-06
2.22991.8489811.389668e-06
2.240271.8487561.534619e-06
2.250691.8485291.680243e-06
2.261161.84831.826545e-06
2.271671.8480681.973528e-06
2.282241.8478352.121194e-06
2.292861.84762.269548e-06
2.303521.8473632.418591e-06
2.314241.8471242.568327e-06
2.3251.8468832.718760e-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
—