Optical constants

Refractive index of H-ZLAF51 (CDGM)

H-ZLAF51: 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
1.8045
Extinction coefficient k
1.40486e-08
Permittivity ε1
3.25621
Permittivity ε2
5.07014e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
39.635
Chromatic dispersion dn/dλ
-0.103398 µm⁻¹
Group index ng
1.86525
Group velocity dispersion
196.327 fs²/mm
Dispersion parameter D
-1071.07 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-ZLAF51 (CDGM): H-ZLAF51
cdgm_h_zlaf51 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF51", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf51.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf51.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=1.22431136λ2λ2−91.245183+0.302590305λ2λ2−0.0426067628+1.86090715λ2λ2−0.0098703156

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.22431136
C391.245183
C40.302590305
C50.0426067628
C61.86090715
C70.0098703156

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 8.54e-06 1.58e-08 -6.65e-11 6.98e-07 1.18e-09 0.253
nd
1.804500
Vd
39.635248
glass code
805396
density
value: 4410
thermal expansion
value: 5.2e-06, temperature range: 243 343; value: 6.8e-06, temperature range: 293 573
dPgF
-0.005
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.61e-06 K⁻¹ at 633 nm, dn/dT = 5.44e-06 K⁻¹ at 1310 nm, dn/dT = 5.34e-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-ZLAF51 (CDGM), H-ZLAF51: n and k versus wavelength
λ (µm)nk
0.3651.8581931.332920e-06
0.3666981.8572711.167941e-06
0.3684031.8563621.002194e-06
0.371.8555268.470400e-07
0.3701171.8554668.424684e-07
0.3718381.8545827.751632e-07
0.3735681.8537117.075450e-07
0.3753061.8528516.396122e-07
0.3770511.8520035.713635e-07
0.3788051.8511675.027973e-07
0.381.8506064.560800e-07
0.3805671.8503424.468162e-07
0.3823371.8495284.178956e-07
0.3841161.8487263.888405e-07
0.3859021.8479333.596502e-07
0.3876971.8471523.303242e-07
0.38951.846383.008618e-07
0.391.8461692.927000e-07
0.3913121.8456192.788058e-07
0.3931321.8448682.595325e-07
0.3949611.8441272.401696e-07
0.3967981.8433952.207166e-07
0.3986441.8426722.011731e-07
0.41.842151.868100e-07
0.4004981.8419591.846941e-07
0.4023611.8412551.767761e-07
0.4042321.840561.688212e-07
0.4061121.8398741.608293e-07
0.4080011.8391971.528003e-07
0.4098991.8385281.447339e-07
0.4118061.8378671.366300e-07
0.4137211.8372151.284884e-07
0.4156451.836571.203090e-07
0.4175791.8359341.120914e-07
0.4195211.8353061.038357e-07
0.421.8351521.018000e-07
0.4214721.8346859.898765e-08
0.4234331.8340729.524317e-08
0.4254021.8334669.148128e-08
0.4273811.8328688.770189e-08
0.4293691.8322768.390492e-08
0.4313661.8316928.009029e-08
0.4333721.8311157.625791e-08
0.4353881.8305457.240771e-08
0.4374131.8299826.853961e-08
0.4394481.8294256.465351e-08
0.441.8292766.359900e-08
0.4414921.8288756.077290e-08
0.4435451.8283325.688301e-08
0.4456091.8277945.297503e-08
0.4476811.8272634.904887e-08
0.4497641.8267394.510445e-08
0.4518561.826224.114168e-08
0.4539571.8257073.716048e-08
0.4560691.8252013.316076e-08
0.458191.82472.914244e-08
0.461.8242792.571400e-08
0.4603211.8242042.573196e-08
0.4624621.8237152.585165e-08
0.4646131.8232312.597189e-08
0.4667751.8227522.609270e-08
0.4689461.8222792.621406e-08
0.4711271.8218122.633599e-08
0.4733181.8213492.645849e-08
0.475521.8208922.658156e-08
0.4777321.820442.670520e-08
0.4799541.8199932.682941e-08
0.481.8199832.683200e-08
0.4821861.819552.520587e-08
0.4844291.8191132.353756e-08
0.4866821.8186812.186149e-08
0.4889461.8182532.017762e-08
0.491221.817831.848592e-08
0.4935051.8174111.678635e-08
0.49581.8169981.507888e-08
0.4981071.8165881.336346e-08
0.51.8162571.195500e-08
0.5004231.8161831.196512e-08
0.5027511.8157831.202075e-08
0.5050891.8153861.207664e-08
0.5074391.8149941.213279e-08
0.5097991.8146071.218920e-08
0.512171.8142231.224587e-08
0.5145531.8138431.230281e-08
0.5169461.8134681.236001e-08
0.519351.8130961.241748e-08
0.5217661.8127281.247521e-08
0.5241931.8123651.253321e-08
0.5266311.8120051.259149e-08
0.5290811.8116481.265003e-08
0.5315421.8112961.270885e-08
0.5340141.8109471.276794e-08
0.5364981.8106021.282730e-08
0.5389931.810261.288694e-08
0.54151.8099221.294686e-08
0.5440191.8095871.300706e-08
0.5465491.8092561.306753e-08
0.5490921.8089281.312829e-08
0.551.8088121.315000e-08
0.5516461.8086031.318933e-08
0.5542121.8082821.325066e-08
0.5567891.8079641.331227e-08
0.5593791.8076491.337416e-08
0.5619811.8073371.343635e-08
0.5645951.8070281.349882e-08
0.5672211.8067231.356159e-08
0.5698591.8064211.362464e-08
0.572511.8061211.368799e-08
0.5751731.8058251.375164e-08
0.5778481.8055311.381558e-08
0.5805361.805241.387981e-08
0.5832361.8049531.394435e-08
0.5859491.8046681.400919e-08
0.5886751.8043851.407432e-08
0.5914131.8041061.413976e-08
0.5941641.8038291.420551e-08
0.5969271.8035551.427156e-08
0.5997041.8032831.433792e-08
0.61.8032551.434500e-08
0.6024931.8030151.440464e-08
0.6052961.8027481.447167e-08
0.6081111.8024841.453902e-08
0.610941.8022231.460667e-08
0.6137811.8019641.467465e-08
0.6166361.8017081.474294e-08
0.6195041.8014541.481154e-08
0.6223861.8012021.488047e-08
0.6252811.8009531.494972e-08
0.6281891.8007061.501928e-08
0.6311111.8004621.508918e-08
0.6340471.8002191.515939e-08
0.6369961.7999791.522994e-08
0.6399591.7997411.530081e-08
0.6429351.7995061.537201e-08
0.6459261.7992721.544354e-08
0.648931.799041.551541e-08
0.651.7989591.554100e-08
0.6519491.7988111.558757e-08
0.6549811.7985841.566005e-08
0.6580281.7983581.573286e-08
0.6610881.7981351.580601e-08
0.6641631.7979141.587950e-08
0.6672521.7976951.595333e-08
0.6703561.7974771.602751e-08
0.6734741.7972621.610203e-08
0.6766071.7970481.617690e-08
0.6797541.7968361.625211e-08
0.6829151.7966261.632768e-08
0.6860921.7964181.640360e-08
0.6892831.7962121.647987e-08
0.6924891.7960081.655649e-08
0.695711.7958051.663348e-08
0.6989461.7956041.671082e-08
0.71.7955391.673600e-08
0.7021971.7954041.678854e-08
0.7054631.7952071.686663e-08
0.7087451.7950111.694509e-08
0.7120411.7948161.702391e-08
0.7153531.7946241.710310e-08
0.7186811.7944321.718265e-08
0.7220231.7942431.726258e-08
0.7253821.7940551.734288e-08
0.7287561.7938681.742355e-08
0.7321461.7936831.750460e-08
0.7355511.79351.758602e-08
0.7389721.7933181.766783e-08
0.7424091.7931371.775001e-08
0.7458631.7929581.783258e-08
0.7493321.792781.791553e-08
0.7528171.7926041.799886e-08
0.7563191.7924291.808259e-08
0.7598371.7922551.816670e-08
0.7633711.7920831.825120e-08
0.7669221.7919121.833610e-08
0.7704891.7917421.842139e-08
0.7740731.7915741.850708e-08
0.7776731.7914061.859317e-08
0.781291.7912411.867965e-08
0.7849241.7910761.876654e-08
0.7885751.7909121.885384e-08
0.7922431.790751.894154e-08
0.7959281.7905891.902965e-08
0.799631.7904291.911816e-08
0.81.7904131.912700e-08
0.803351.790271.829897e-08
0.8070861.7901131.737530e-08
0.810841.7899561.644735e-08
0.8146121.7898011.551507e-08
0.8184011.7896461.457846e-08
0.8222081.7894931.363750e-08
0.8260321.7893411.269215e-08
0.8298741.789191.174241e-08
0.8337341.7890391.078825e-08
0.8376121.788899.829658e-09
0.8415081.7887428.866604e-09
0.8454221.7885957.899069e-09
0.8493551.7884486.927035e-09
0.851.7884256.767500e-09
0.8533051.7883036.793816e-09
0.8572741.7881596.825418e-09
0.8612621.7880156.857166e-09
0.8652681.7878736.889062e-09
0.8692921.7877316.921106e-09
0.8733361.787596.953299e-09
0.8773981.787456.985642e-09
0.8814791.7873117.018136e-09
0.8855791.7871737.050780e-09
0.8896981.7870357.083577e-09
0.8938361.7868987.116526e-09
0.8979941.7867637.149628e-09
0.91.7866977.165600e-09
0.9021711.7866277.182880e-09
0.9063671.7864937.216282e-09
0.9105831.7863597.249840e-09
0.9148181.7862277.283554e-09
0.9190731.7860947.317425e-09
0.9233481.7859637.351453e-09
0.9276431.7858327.385640e-09
0.9319581.7857027.419985e-09
0.9362931.7855737.454491e-09
0.9406481.7854447.489157e-09
0.9450231.7853167.523984e-09
0.9494191.7851887.558973e-09
0.951.7851717.563600e-09
0.9538351.7850617.594132e-09
0.9582711.7849357.629456e-09
0.9627291.7848097.664945e-09
0.9672071.7846847.700599e-09
0.9717051.784567.736418e-09
0.9762251.7844367.772404e-09
0.9807661.7843127.808557e-09
0.9853281.784197.844879e-09
0.9899111.7840677.881370e-09
0.9945151.7839457.918030e-09
0.9991411.7838247.954861e-09
11.7838027.961700e-09
1.003791.7837037.991861e-09
1.008461.7835838.029034e-09
1.013151.7834638.066380e-09
1.017861.7833438.103899e-09
1.022591.7832248.141593e-09
1.027351.7831068.179462e-09
1.032131.7829878.217507e-09
1.036931.782878.255729e-09
1.041751.7827528.294129e-09
1.04661.7826358.332708e-09
1.051471.7825198.371466e-09
1.056361.7824028.410404e-09
1.061.7823168.439400e-09
1.061271.7822868.449524e-09
1.066211.7821718.488828e-09
1.071171.7820568.528314e-09
1.076151.7819418.567984e-09
1.081151.7818268.607839e-09
1.086181.7817128.647879e-09
1.091241.7815988.688105e-09
1.096311.7814848.728519e-09
1.101411.781378.769120e-09
1.106531.7812578.809911e-09
1.111681.7811448.850891e-09
1.116851.7810318.892061e-09
1.122051.7809198.933423e-09
1.127271.7808068.974978e-09
1.132511.7806949.016726e-09
1.137781.7805829.058668e-09
1.143071.7804719.100805e-09
1.148391.7803599.143138e-09
1.153731.7802479.185668e-09
1.159091.7801369.228395e-09
1.164481.7800259.271322e-09
1.16991.7799149.314448e-09
1.175341.7798039.357775e-09
1.180811.7796929.401303e-09
1.18631.7795819.445034e-09
1.191821.7794719.488968e-09
1.197361.779369.533107e-09
1.21.7793089.554100e-09
1.202931.7792499.904831e-09
1.208531.7791391.057399e-08
1.214151.7790281.124626e-08
1.21981.7789181.192166e-08
1.225471.7788081.260020e-08
1.231171.7786971.328190e-08
1.23691.7785871.396677e-08
1.242651.7784761.465482e-08
1.248431.7783661.534607e-08
1.254241.7782561.604054e-08
1.260071.7781451.673824e-08
1.265931.7780351.743918e-08
1.271821.7779241.814339e-08
1.277741.7778131.885087e-08
1.283681.7777021.956164e-08
1.289651.7775922.027572e-08
1.295651.7774812.099311e-08
1.301671.7773692.171385e-08
1.307731.7772582.243794e-08
1.313811.7771472.316539e-08
1.319921.7770352.389623e-08
1.326061.7769242.463047e-08
1.332231.7768122.536812e-08
1.338431.77672.610921e-08
1.344651.7765882.685374e-08
1.350911.7764752.760173e-08
1.357191.7763622.835321e-08
1.36351.776252.910817e-08
1.369851.7761372.986666e-08
1.376221.7760233.062866e-08
1.382621.775913.139422e-08
1.389051.7757963.216333e-08
1.395511.7756823.293602e-08
1.41.7756023.347300e-08
1.4021.7755673.364868e-08
1.408521.7754523.422120e-08
1.415071.7753373.479639e-08
1.421661.7752223.537426e-08
1.428271.7751063.595481e-08
1.434911.774993.653806e-08
1.441591.7748743.712403e-08
1.448291.7747573.771272e-08
1.455031.774643.830415e-08
1.46181.7745223.889833e-08
1.468591.7744043.949527e-08
1.475431.7742864.009499e-08
1.482291.7741674.069750e-08
1.489181.7740484.130281e-08
1.496111.7739294.191094e-08
1.503071.7738084.252190e-08
1.510061.7736884.313570e-08
1.517081.7735674.375235e-08
1.524141.7734454.437187e-08
1.531231.7733234.499428e-08
1.538351.7732014.561957e-08
1.545511.7730774.624778e-08
1.55271.7729544.687891e-08
1.559921.772834.751297e-08
1.567171.7727054.814999e-08
1.574461.7725794.878996e-08
1.581791.7724534.943292e-08
1.589141.7723275.007886e-08
1.596541.77225.072781e-08
1.61.772145.103200e-08
1.603961.7720725.287254e-08
1.611421.7719435.633902e-08
1.618921.7718145.982161e-08
1.626451.7716856.332041e-08
1.634011.7715546.683547e-08
1.641611.7714237.036689e-08
1.649251.7712917.391473e-08
1.656921.7711587.747908e-08
1.664631.7710258.106001e-08
1.672371.7708918.465759e-08
1.680151.7707568.827190e-08
1.687961.7706219.190303e-08
1.695811.7704849.555104e-08
1.70371.7703479.921602e-08
1.711631.7702091.028981e-07
1.719591.770071.065972e-07
1.727591.7699311.103136e-07
1.735621.769791.140472e-07
1.743691.7696491.177982e-07
1.751811.7695061.215667e-07
1.759951.7693631.253527e-07
1.768141.7692191.291563e-07
1.776361.7690741.329776e-07
1.784631.7689281.368167e-07
1.792931.7687811.406736e-07
1.81.7686551.439600e-07
1.801271.7686331.461181e-07
1.809641.7684841.603951e-07
1.818061.7683341.747385e-07
1.826521.7681831.891487e-07
1.835011.7680312.036258e-07
1.843551.7678782.181703e-07
1.852121.7677242.327825e-07
1.860741.7675682.474626e-07
1.869391.7674122.622110e-07
1.878091.7672552.770280e-07
1.886821.7670962.919139e-07
1.89561.7669363.068691e-07
1.904421.7667753.218938e-07
1.913281.7666133.369884e-07
1.922181.766453.521532e-07
1.931121.7662853.673886e-07
1.94011.7661193.826948e-07
1.949121.7659523.980722e-07
1.958191.7657844.135212e-07
1.96731.7656144.290420e-07
1.976451.7654434.446350e-07
1.985641.7652714.603005e-07
1.994881.7650974.760389e-07
21.7654.847700e-07
2.004161.7649225.042350e-07
2.013481.7647465.479053e-07
2.022841.7645685.917786e-07
2.032251.7643886.358561e-07
2.04171.7642086.801385e-07
2.05121.7640257.246270e-07
2.060741.7638427.693223e-07
2.070331.7636568.142256e-07
2.079961.763478.593377e-07
2.089631.7632819.046597e-07
2.099351.7630919.501924e-07
2.109121.76299.959370e-07
2.118931.7627071.041894e-06
2.128781.7625121.088065e-06
2.138681.7623151.134451e-06
2.148631.7621171.181053e-06
2.158621.7619171.227871e-06
2.168671.7617161.274907e-06
2.178751.7615121.322162e-06
2.188891.7613071.369637e-06
2.199071.76111.417332e-06
2.21.7610811.421700e-06
2.20931.7608921.626524e-06
2.219571.7606811.852939e-06
2.22991.7604682.080407e-06
2.240271.7602542.308933e-06
2.250691.7600382.538522e-06
2.261161.7598192.769179e-06
2.271671.7595993.000908e-06
2.282241.7593773.233716e-06
2.292861.7591523.467606e-06
2.303521.7589263.702585e-06
2.314241.7586983.938656e-06
2.3251.7584674.175825e-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
—