Optical constants

Refractive index of H-ZLAF50E (CDGM)

H-ZLAF50E: 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
1.804
Extinction coefficient k
1.87414e-08
Permittivity ε1
3.2544
Permittivity ε2
6.76190e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
46.574
Chromatic dispersion dn/dλ
-0.0885536 µm⁻¹
Group index ng
1.85603
Group velocity dispersion
162.153 fs²/mm
Dispersion parameter D
-884.632 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-ZLAF50E (CDGM): H-ZLAF50E
cdgm_h_zlaf50e = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF50E", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf50e.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf50e.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=1.22239213λ2λ2−0.00445444481+0.952859931λ2λ2−0.0229973985+1.37994067λ2λ2−99.1991267

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.22239213
C30.00445444481
C40.952859931
C50.0229973985
C61.37994067
C799.1991267

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.15e-06 1.32e-08 -1.72e-11 6.09e-07 4.6e-10 0.211
nd
1.804000
Vd
46.574487
glass code
804466
glass status
standard
density
value: 4440
thermal expansion
value: 6.2e-06, temperature range: 243 343; value: 7.8e-06, temperature range: 293 573
dPgF
-0.0088
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.78e-06 K⁻¹ at 633 nm, dn/dT = 9.22e-07 K⁻¹ at 1310 nm, dn/dT = 8.54e-07 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-ZLAF50E (CDGM), H-ZLAF50E: n and k versus wavelength
λ (µm)nk
0.3651.8478323.598900e-07
0.3666981.8471183.319792e-07
0.3684031.8464133.039386e-07
0.371.8457642.776900e-07
0.3701171.8457162.765181e-07
0.3718381.8450282.592649e-07
0.3735681.8443482.419314e-07
0.3753061.8436762.245173e-07
0.3770511.8430122.070222e-07
0.3788051.8423561.894457e-07
0.381.8419151.774700e-07
0.3805671.8417071.745907e-07
0.3823371.8410661.656019e-07
0.3841161.8404331.565713e-07
0.3859021.8398071.474987e-07
0.3876971.8391881.383839e-07
0.38951.8385771.292268e-07
0.391.8384091.266900e-07
0.3913121.8379721.227884e-07
0.3931321.8373751.173762e-07
0.3949611.8367841.119389e-07
0.3967981.83621.064763e-07
0.3986441.8356231.009883e-07
0.41.8352059.695500e-08
0.4004981.8350539.613758e-08
0.4023611.8344899.307869e-08
0.4042321.8339319.000558e-08
0.4061121.833388.691817e-08
0.4080011.8328348.381640e-08
0.4098991.8322958.070020e-08
0.4118061.8317637.756950e-08
0.4137211.8312367.442425e-08
0.4156451.8307157.126436e-08
0.4175791.8301996.808978e-08
0.4195211.829696.490043e-08
0.421.8295656.411400e-08
0.4214721.8291866.302825e-08
0.4234331.8286886.158265e-08
0.4254021.8281956.013032e-08
0.4273811.8277085.867124e-08
0.4293691.8272255.720537e-08
0.4313661.8267495.573268e-08
0.4333721.8262775.425314e-08
0.4353881.8258115.276672e-08
0.4374131.825355.127339e-08
0.4394481.8248934.977311e-08
0.441.8247714.936600e-08
0.4414921.8244424.815216e-08
0.4435451.8239954.648141e-08
0.4456091.8235544.480290e-08
0.4476811.8231174.311657e-08
0.4497641.8226844.142240e-08
0.4518561.8222573.972035e-08
0.4539571.8218343.801038e-08
0.4560691.8214153.629246e-08
0.458191.8210013.456655e-08
0.461.8206533.309400e-08
0.4603211.8205913.299341e-08
0.4624621.8201863.232303e-08
0.4646131.8197853.164953e-08
0.4667751.8193883.097290e-08
0.4689461.8189953.029312e-08
0.4711271.8186062.961018e-08
0.4733181.8182222.892406e-08
0.475521.8178412.823476e-08
0.4777321.8174652.754224e-08
0.4799541.8170922.684651e-08
0.481.8170842.683200e-08
0.4821861.8167232.651644e-08
0.4844291.8163582.619269e-08
0.4866821.8159962.586743e-08
0.4889461.8156392.554067e-08
0.491221.8152852.521238e-08
0.4935051.8149352.488256e-08
0.49581.8145882.455121e-08
0.4981071.8142442.421832e-08
0.51.8139662.394500e-08
0.5004231.8139052.389078e-08
0.5027511.8135682.359271e-08
0.5050891.8132352.329324e-08
0.5074391.8129062.299239e-08
0.5097991.812582.269013e-08
0.512171.8122572.238647e-08
0.5145531.8119372.208139e-08
0.5169461.811622.177490e-08
0.519351.8113072.146698e-08
0.5217661.8109962.115763e-08
0.5241931.8106892.084684e-08
0.5266311.8103852.053461e-08
0.5290811.8100842.022092e-08
0.5315421.8097851.990577e-08
0.5340141.809491.958916e-08
0.5364981.8091971.927108e-08
0.5389931.8089081.895151e-08
0.54151.8086211.863046e-08
0.5440191.8083371.830792e-08
0.5465491.8080561.798387e-08
0.5490921.8077771.765832e-08
0.551.8076781.754200e-08
0.5516461.8075011.759450e-08
0.5542121.8072281.767635e-08
0.5567891.8069571.775858e-08
0.5593791.8066891.784120e-08
0.5619811.8064241.792420e-08
0.5645951.8061611.800758e-08
0.5672211.80591.809135e-08
0.5698591.8056421.817552e-08
0.572511.8053861.826007e-08
0.5751731.8051331.834502e-08
0.5778481.8048821.843036e-08
0.5805361.8046341.851610e-08
0.5832361.8043871.860224e-08
0.5859491.8041431.868878e-08
0.5886751.8039021.877572e-08
0.5914131.8036621.886307e-08
0.5941641.8034251.895082e-08
0.5969271.803191.903898e-08
0.5997041.8029571.912755e-08
0.61.8029321.913700e-08
0.6024931.8027261.921653e-08
0.6052961.8024971.930593e-08
0.6081111.8022711.939574e-08
0.610941.8020461.948597e-08
0.6137811.8018231.957662e-08
0.6166361.8016031.966769e-08
0.6195041.8013841.975919e-08
0.6223861.8011671.985111e-08
0.6252811.8009521.994346e-08
0.6281891.8007392.003623e-08
0.6311111.8005282.012944e-08
0.6340471.8003192.022308e-08
0.6369961.8001122.031716e-08
0.6399591.7999062.041168e-08
0.6429351.7997022.050663e-08
0.6459261.79952.060203e-08
0.648931.79932.069787e-08
0.651.7992292.073200e-08
0.6519491.7991012.079412e-08
0.6549811.7989042.089079e-08
0.6580281.7987092.098792e-08
0.6610881.7985162.108549e-08
0.6641631.7983242.118352e-08
0.6672521.7981332.128201e-08
0.6703561.7979452.138095e-08
0.6734741.7977572.148035e-08
0.6766071.7975722.158022e-08
0.6797541.7973882.168055e-08
0.6829151.7972052.178135e-08
0.6860921.7970242.188261e-08
0.6892831.7968442.198435e-08
0.6924891.7966662.208656e-08
0.695711.7964892.218924e-08
0.6989461.7963142.229241e-08
0.71.7962572.232600e-08
0.7021971.796142.239609e-08
0.7054631.7959672.250028e-08
0.7087451.7957962.260496e-08
0.7120411.7956262.271012e-08
0.7153531.7954572.281577e-08
0.7186811.795292.292191e-08
0.7220231.7951242.302855e-08
0.7253821.794962.313568e-08
0.7287561.7947962.324331e-08
0.7321461.7946342.335144e-08
0.7355511.7944732.346008e-08
0.7389721.7943132.356922e-08
0.7424091.7941542.367886e-08
0.7458631.7939972.378902e-08
0.7493321.7938412.389969e-08
0.7528171.7936862.401087e-08
0.7563191.7935322.412257e-08
0.7598371.7933792.423479e-08
0.7633711.7932272.434754e-08
0.7669221.7930762.446080e-08
0.7704891.7929272.457460e-08
0.7740731.7927782.468892e-08
0.7776731.792632.480378e-08
0.781291.7924842.491916e-08
0.7849241.7923382.503509e-08
0.7885751.7921942.515156e-08
0.7922431.792052.526856e-08
0.7959281.7919082.538611e-08
0.799631.7917662.550421e-08
0.81.7917522.551600e-08
0.803351.7916252.516809e-08
0.8070861.7914852.478000e-08
0.810841.7913462.439011e-08
0.8146121.7912082.399840e-08
0.8184011.7910712.360487e-08
0.8222081.7909352.320952e-08
0.8260321.7907992.281232e-08
0.8298741.7906652.241327e-08
0.8337341.7905312.201237e-08
0.8376121.7903982.160960e-08
0.8415081.7902662.120496e-08
0.8454221.7901352.079844e-08
0.8493551.7900042.039003e-08
0.851.7899832.032300e-08
0.8533051.7898742.087709e-08
0.8572741.7897452.154245e-08
0.8612621.7896172.221091e-08
0.8652681.7894892.288248e-08
0.8692921.7893622.355717e-08
0.8733361.7892362.423500e-08
0.8773981.789112.491598e-08
0.8814791.7889852.560013e-08
0.8855791.7888612.628747e-08
0.8896981.7887382.697800e-08
0.8938361.7886152.767174e-08
0.8979941.7884922.836871e-08
0.91.7884342.870500e-08
0.9021711.7883712.877425e-08
0.9063671.7882492.890811e-08
0.9105831.7881292.904260e-08
0.9148181.7880092.917771e-08
0.9190731.787892.931344e-08
0.9233481.7877712.944981e-08
0.9276431.7876532.958682e-08
0.9319581.7875352.972446e-08
0.9362931.7874182.986274e-08
0.9406481.7873013.000167e-08
0.9450231.7871853.014124e-08
0.9494191.7870693.028146e-08
0.951.7870543.030000e-08
0.9538351.7869543.103543e-08
0.9582711.7868393.188628e-08
0.9627291.7867253.274109e-08
0.9672071.7866113.359987e-08
0.9717051.7864973.446265e-08
0.9762251.7863843.532944e-08
0.9807661.7862723.620027e-08
0.9853281.7861593.707514e-08
0.9899111.7860483.795409e-08
0.9945151.7859363.883712e-08
0.9991411.7858253.972426e-08
11.7858053.988900e-08
1.003791.7857144.111168e-08
1.008461.7856044.261858e-08
1.013151.7854944.413250e-08
1.017861.7853844.565345e-08
1.022591.7852754.718148e-08
1.027351.7851664.871662e-08
1.032131.7850575.025890e-08
1.036931.7849495.180835e-08
1.041751.784845.336500e-08
1.04661.7847335.492890e-08
1.051471.7846255.650007e-08
1.056361.7845175.807855e-08
1.061.7844385.925400e-08
1.061271.784415.958750e-08
1.066211.7843036.088222e-08
1.071171.7841966.218297e-08
1.076151.784096.348977e-08
1.081151.7839846.480265e-08
1.086181.7838776.612164e-08
1.091241.7837716.744676e-08
1.096311.7836666.877804e-08
1.101411.783567.011551e-08
1.106531.7834547.145921e-08
1.111681.7833497.280916e-08
1.116851.7832447.416538e-08
1.122051.7831397.552792e-08
1.127271.7830337.689679e-08
1.132511.7829297.827203e-08
1.137781.7828247.965366e-08
1.143071.7827198.104172e-08
1.148391.7826148.243624e-08
1.153731.782518.383725e-08
1.159091.7824058.524477e-08
1.164481.78238.665884e-08
1.16991.7821968.807948e-08
1.175341.7820918.950673e-08
1.180811.7819879.094063e-08
1.18631.7818829.238119e-08
1.191821.7817789.382845e-08
1.197361.7816739.528244e-08
1.21.7816249.597400e-08
1.202931.7815699.736769e-08
1.208531.7814641.000267e-07
1.214151.7813591.026981e-07
1.21981.7812551.053819e-07
1.225471.781151.080782e-07
1.231171.7810451.107871e-07
1.23691.780941.135085e-07
1.242651.7808351.162426e-07
1.248431.780731.189894e-07
1.254241.7806251.217490e-07
1.260071.7805191.245215e-07
1.265931.7804141.273068e-07
1.271821.7803081.301051e-07
1.277741.7802021.329164e-07
1.283681.7800961.357407e-07
1.289651.779991.385782e-07
1.295651.7798831.414290e-07
1.301671.7797771.442929e-07
1.307731.779671.471702e-07
1.313811.7795631.500609e-07
1.319921.7794561.529650e-07
1.326061.7793481.558826e-07
1.332231.7792411.588138e-07
1.338431.7791331.617587e-07
1.344651.7790241.647172e-07
1.350911.7789161.676895e-07
1.357191.7788071.706756e-07
1.36351.7786981.736756e-07
1.369851.7785881.766895e-07
1.376221.7784791.797175e-07
1.382621.7783691.827596e-07
1.389051.7782581.858158e-07
1.395511.7781471.888862e-07
1.41.7780711.910200e-07
1.4021.7780361.929890e-07
1.408521.7779251.994058e-07
1.415071.7778132.058525e-07
1.421661.7777012.123291e-07
1.428271.7775882.188359e-07
1.434911.7774752.253730e-07
1.441591.7773612.319404e-07
1.448291.7772472.385385e-07
1.455031.7771332.451672e-07
1.46181.7770182.518267e-07
1.468591.7769022.585172e-07
1.475431.7767872.652388e-07
1.482291.776672.719917e-07
1.489181.7765532.787760e-07
1.496111.7764362.855919e-07
1.503071.7763182.924394e-07
1.510061.77622.993188e-07
1.517081.7760813.062302e-07
1.524141.7759613.131738e-07
1.531231.7758413.201496e-07
1.538351.775723.271579e-07
1.545511.7755993.341988e-07
1.55271.7754773.412725e-07
1.559921.7753553.483790e-07
1.567171.7752323.555186e-07
1.574461.7751083.626914e-07
1.581791.7749833.698976e-07
1.589141.7748583.771373e-07
1.596541.7747323.844107e-07
1.61.7746733.878200e-07
1.603961.7746063.937963e-07
1.611421.7744794.050520e-07
1.618921.7743514.163601e-07
1.626451.7742224.277208e-07
1.634011.7740934.391344e-07
1.641611.7739624.506010e-07
1.649251.7738314.621209e-07
1.656921.77374.736945e-07
1.664631.7735674.853218e-07
1.672371.7734344.970033e-07
1.680151.77335.087391e-07
1.687961.7731655.205294e-07
1.695811.7730295.323747e-07
1.70371.7728925.442750e-07
1.711631.7727545.562306e-07
1.719591.7726165.682419e-07
1.727591.7724775.803090e-07
1.735621.7723365.924323e-07
1.743691.7721956.046120e-07
1.751811.7720536.168483e-07
1.759951.771916.291415e-07
1.768141.7717656.414919e-07
1.776361.771626.538998e-07
1.784631.7714746.663653e-07
1.792931.7713276.788889e-07
1.81.7712016.895600e-07
1.801271.7711796.933779e-07
1.809641.7710297.186359e-07
1.818061.7708797.440114e-07
1.826521.7707287.695050e-07
1.835011.7705757.951171e-07
1.843551.7704218.208483e-07
1.852121.7702678.466992e-07
1.860741.7701118.726704e-07
1.869391.7699548.987624e-07
1.878091.7697959.249757e-07
1.886821.7696369.513110e-07
1.89561.7694759.777687e-07
1.904421.7693131.004350e-06
1.913281.769151.031054e-06
1.922181.7689861.057883e-06
1.931121.768821.084836e-06
1.94011.7686531.111915e-06
1.949121.7684841.139120e-06
1.958191.7683151.166451e-06
1.96731.7681441.193909e-06
1.976451.7679711.221496e-06
1.985641.7677971.249210e-06
1.994881.7676221.277053e-06
21.7675251.292500e-06
2.004161.7674461.320505e-06
2.013481.7672671.383335e-06
2.022841.7670881.446458e-06
2.032251.7669071.509874e-06
2.04171.7667241.573585e-06
2.05121.766541.637592e-06
2.060741.7663541.701897e-06
2.070331.7661671.766501e-06
2.079961.7659781.831406e-06
2.089631.7657881.896613e-06
2.099351.7655961.962123e-06
2.109121.7654022.027937e-06
2.118931.7652062.094058e-06
2.128781.7650092.160486e-06
2.138681.764812.227223e-06
2.148631.764612.294271e-06
2.158621.7644072.361630e-06
2.168671.7642032.429303e-06
2.178751.7639972.497291e-06
2.188891.7637892.565595e-06
2.199071.763582.634216e-06
2.21.763562.640500e-06
2.20931.7633682.802023e-06
2.219571.7631552.980571e-06
2.22991.7629393.159950e-06
2.240271.7627223.340163e-06
2.250691.7625023.521214e-06
2.261161.7622813.703108e-06
2.271671.7620583.885848e-06
2.282241.7618324.069437e-06
2.292861.7616054.253881e-06
2.303521.7613754.439182e-06
2.314241.7611434.625346e-06
2.3251.7609094.812375e-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
—