Optical constants

Refractive index of H-ZLAF4LA (CDGM)

H-ZLAF4LA: 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
1.91082
Extinction coefficient k
4.19440e-08
Permittivity ε1
3.65121
Permittivity ε2
1.60295e-07
Absorption coefficient α
0.00897012 cm⁻¹
Penetration depth δ = λ/(2πk)
2.22963e+09 nm
Abbe number Vd
35.25
Chromatic dispersion dn/dλ
-0.131019 µm⁻¹
Group index ng
1.9878
Group velocity dispersion
255.416 fs²/mm
Dispersion parameter D
-1393.43 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-ZLAF4LA (CDGM): H-ZLAF4LA
cdgm_h_zlaf4la = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF4LA", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf4la.range_nm)  # (365, 2325) nm
eps = cdgm_h_zlaf4la.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=2.212551λ2λ2−0.011817254+0.312542616λ2λ2−0.049586258+1.56862457λ2λ2−115.52649

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C22.212551
C30.011817254
C40.312542616
C50.049586258
C61.56862457
C7115.52649

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.14e-06 1.37e-08 -2.92e-11 8.94e-07 8.6e-10 0.239
nd
1.910820
Vd
35.250340
glass code
911353
glass status
standard
density
value: 5070
thermal expansion
value: 7.1e-06, temperature range: 243 343; value: 8.5e-06, temperature range: 293 573
dPgF
-0.0024
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.58e-06 K⁻¹ at 633 nm, dn/dT = 1.13e-06 K⁻¹ at 1310 nm, dn/dT = 1.02e-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-ZLAF4LA (CDGM), H-ZLAF4LA: n and k versus wavelength
λ (µm)nk
0.3651.9808933.722050e-06
0.3666981.9796533.290435e-06
0.3684031.9784322.856812e-06
0.371.9773112.450900e-06
0.3701171.977232.438635e-06
0.3718381.9760462.258063e-06
0.3735681.9748792.076651e-06
0.3753061.973731.894395e-06
0.3770511.9725981.711292e-06
0.3788051.9714821.527337e-06
0.381.9707341.402000e-06
0.3805671.9703831.373599e-06
0.3823371.9692991.284934e-06
0.3841161.9682311.195857e-06
0.3859021.9671781.106366e-06
0.3876971.9661411.016458e-06
0.38951.9651189.261323e-07
0.391.9648379.011100e-07
0.3913121.9641098.652493e-07
0.3931321.9631148.155053e-07
0.3949611.9621337.655300e-07
0.3967981.9611667.153223e-07
0.3986441.9602126.648810e-07
0.41.9595226.278100e-07
0.4004981.9592716.213192e-07
0.4023611.9583435.970295e-07
0.4042321.9574275.726268e-07
0.4061121.9565235.481107e-07
0.4080011.9556325.234805e-07
0.4098991.9547534.987357e-07
0.4118061.9538854.738759e-07
0.4137211.9530294.489004e-07
0.4156451.9521834.238088e-07
0.4175791.9513493.986004e-07
0.4195211.9505263.732748e-07
0.421.9503253.670300e-07
0.4214721.9497133.592712e-07
0.4234331.9489113.489408e-07
0.4254021.9481193.385624e-07
0.4273811.9473373.281357e-07
0.4293691.9465653.176605e-07
0.4313661.9458033.071366e-07
0.4333721.9450512.965638e-07
0.4353881.9443082.859417e-07
0.4374131.9435742.752703e-07
0.4394481.9428492.645492e-07
0.441.9426552.616400e-07
0.4414921.9421332.561288e-07
0.4435451.9414262.485431e-07
0.4456091.9407282.409221e-07
0.4476811.9400382.332656e-07
0.4497641.9393572.255736e-07
0.4518561.9386842.178457e-07
0.4539571.9380192.100819e-07
0.4560691.9373622.022820e-07
0.458191.9367131.944458e-07
0.461.9361681.877600e-07
0.4603211.9360721.869300e-07
0.4624621.9354381.813984e-07
0.4646131.9348121.758412e-07
0.4667751.9341931.702580e-07
0.4689461.9335821.646489e-07
0.4711271.9329781.590138e-07
0.4733181.9323811.533524e-07
0.475521.931791.476646e-07
0.4777321.9312071.419504e-07
0.4799541.930631.362097e-07
0.481.9306181.360900e-07
0.4821861.930061.317799e-07
0.4844291.9294971.273580e-07
0.4866821.928941.229155e-07
0.4889461.928391.184523e-07
0.491221.9278451.139684e-07
0.4935051.9273071.094637e-07
0.49581.9267751.049379e-07
0.4981071.9262491.003912e-07
0.51.9258239.665800e-08
0.5004231.9257299.628696e-08
0.5027511.9252149.424707e-08
0.5050891.9247069.219769e-08
0.5074391.9242039.013877e-08
0.5097991.9237068.807028e-08
0.512171.9232148.599217e-08
0.5145531.9227278.390440e-08
0.5169461.9222468.180691e-08
0.519351.921777.969966e-08
0.5217661.92137.758262e-08
0.5241931.9208347.545573e-08
0.5266311.9203747.331894e-08
0.5290811.9199187.117222e-08
0.5315421.9194686.901551e-08
0.5340141.9190226.684877e-08
0.5364981.9185816.467195e-08
0.5389931.9181456.248500e-08
0.54151.9177146.028789e-08
0.5440191.9172875.808055e-08
0.5465491.9168645.586295e-08
0.5490921.9164465.363503e-08
0.551.9162995.283900e-08
0.5516461.9160335.236215e-08
0.5542121.9156245.161865e-08
0.5567891.9152195.087170e-08
0.5593791.9148185.012128e-08
0.5619811.9144224.936737e-08
0.5645951.9140294.860995e-08
0.5672211.9136414.784900e-08
0.5698591.9132574.708452e-08
0.572511.9128764.631648e-08
0.5751731.91254.554487e-08
0.5778481.9121274.476967e-08
0.5805361.9117594.399086e-08
0.5832361.9113944.320843e-08
0.5859491.9110324.242236e-08
0.5886751.9106754.163264e-08
0.5914131.9103214.083924e-08
0.5941641.909974.004215e-08
0.5969271.9096233.924136e-08
0.5997041.909283.843684e-08
0.61.9092433.835100e-08
0.6024931.908943.903089e-08
0.6052961.9086033.979510e-08
0.6081111.908274.056287e-08
0.610941.907944.133421e-08
0.6137811.9076134.210914e-08
0.6166361.9072894.288767e-08
0.6195041.9069694.366982e-08
0.6223861.9066514.445561e-08
0.6252811.9063374.524506e-08
0.6281891.9060264.603817e-08
0.6311111.9057184.683498e-08
0.6340471.9054134.763549e-08
0.6369961.9051114.843973e-08
0.6399591.9048114.924770e-08
0.6429351.9045155.005944e-08
0.6459261.9042215.087495e-08
0.648931.903935.169425e-08
0.651.9038285.198600e-08
0.6519491.9036425.170373e-08
0.6549811.9033575.126446e-08
0.6580281.9030745.082314e-08
0.6610881.9027945.037976e-08
0.6641631.9025174.993433e-08
0.6672521.9022424.948682e-08
0.6703561.9019694.903723e-08
0.6734741.90174.858555e-08
0.6766071.9014324.813177e-08
0.6797541.9011674.767588e-08
0.6829151.9009054.721786e-08
0.6860921.9006454.675772e-08
0.6892831.9003874.629544e-08
0.6924891.9001324.583100e-08
0.695711.8998794.536441e-08
0.6989461.8996284.489565e-08
0.71.8995474.474300e-08
0.7021971.899384.488343e-08
0.7054631.8991334.509217e-08
0.7087451.8988894.530188e-08
0.7120411.8986474.551256e-08
0.7153531.8984074.572423e-08
0.7186811.898174.593688e-08
0.7220231.8979344.615052e-08
0.7253821.89774.636515e-08
0.7287561.8974694.658079e-08
0.7321461.8972394.679742e-08
0.7355511.8970124.701506e-08
0.7389721.8967864.723372e-08
0.7424091.8965624.745339e-08
0.7458631.896344.767408e-08
0.7493321.8961214.789580e-08
0.7528171.8959024.811855e-08
0.7563191.8956864.834234e-08
0.7598371.8954724.856717e-08
0.7633711.8952594.879304e-08
0.7669221.8950484.901997e-08
0.7704891.8948394.924795e-08
0.7740731.8946314.947699e-08
0.7776731.8944254.970709e-08
0.781291.8942214.993827e-08
0.7849241.8940195.017052e-08
0.7885751.8938185.040385e-08
0.7922431.8936195.063827e-08
0.7959281.8934215.087378e-08
0.799631.8932255.111038e-08
0.81.8932055.113400e-08
0.803351.893034.906979e-08
0.8070861.8928374.676720e-08
0.810841.8926454.445389e-08
0.8146121.8924554.212983e-08
0.8184011.8922673.979495e-08
0.8222081.8920793.744922e-08
0.8260321.8918943.509257e-08
0.8298741.8917093.272496e-08
0.8337341.8915263.034634e-08
0.8376121.8913442.795666e-08
0.8415081.8911642.555586e-08
0.8454221.8909852.314389e-08
0.8493551.8908072.072070e-08
0.851.8907782.032300e-08
0.8533051.8906312.040200e-08
0.8572741.8904562.049685e-08
0.8612621.8902822.059215e-08
0.8652681.8901092.068790e-08
0.8692921.8899382.078409e-08
0.8733361.8897672.088072e-08
0.8773981.8895982.097781e-08
0.8814791.889432.107535e-08
0.8855791.8892642.117334e-08
0.8896981.8890982.127179e-08
0.8938361.8889332.137069e-08
0.8979941.888772.147006e-08
0.91.8886922.151800e-08
0.9021711.8886072.124087e-08
0.9063671.8884462.070517e-08
0.9105831.8882862.016698e-08
0.9148181.8881261.962629e-08
0.9190731.8879681.908308e-08
0.9233481.8878111.853735e-08
0.9276431.8876551.798907e-08
0.9319581.8874991.743825e-08
0.9362931.8873451.688486e-08
0.9406481.8871921.632890e-08
0.9450231.8870391.577035e-08
0.9494191.8868871.520921e-08
0.951.8868671.513500e-08
0.9538351.8867371.519605e-08
0.9582711.8865871.526668e-08
0.9627291.8864381.533764e-08
0.9672071.886291.540893e-08
0.9717051.8861421.548055e-08
0.9762251.8859961.555250e-08
0.9807661.885851.562479e-08
0.9853281.8857051.569742e-08
0.9899111.8855611.577038e-08
0.9945151.8854181.584368e-08
0.9991411.8852751.591732e-08
11.8852491.593100e-08
1.003791.8851331.599136e-08
1.008461.8849921.606575e-08
1.013151.8848511.614049e-08
1.017861.8847121.621558e-08
1.022591.8845721.629101e-08
1.027351.8844341.636680e-08
1.032131.8842961.644293e-08
1.036931.8841591.651943e-08
1.041751.8840221.659628e-08
1.04661.8838861.667348e-08
1.051471.8837511.675105e-08
1.056361.8836161.682897e-08
1.061.8835171.688700e-08
1.061271.8834821.690726e-08
1.066211.8833481.698593e-08
1.071171.8832151.706496e-08
1.076151.8830831.714435e-08
1.081151.8829511.722412e-08
1.086181.8828191.730426e-08
1.091241.8826881.738477e-08
1.096311.8825571.746565e-08
1.101411.8824271.754691e-08
1.106531.8822981.762855e-08
1.111681.8821681.771057e-08
1.116851.882041.779297e-08
1.122051.8819111.787576e-08
1.127271.8817831.795892e-08
1.132511.8816561.804248e-08
1.137781.8815281.812642e-08
1.143071.8814021.821076e-08
1.148391.8812751.829549e-08
1.153731.8811491.838061e-08
1.159091.8810231.846612e-08
1.164481.8808981.855204e-08
1.16991.8807731.863835e-08
1.175341.8806481.872507e-08
1.180811.8805231.881219e-08
1.18631.8803991.889971e-08
1.191821.8802751.898764e-08
1.197361.8801511.907598e-08
1.21.8800931.911800e-08
1.202931.8800281.916472e-08
1.208531.8799041.925385e-08
1.214151.8797811.934340e-08
1.21981.8796581.943336e-08
1.225471.8795361.952374e-08
1.231171.8794131.961454e-08
1.23691.8792911.970577e-08
1.242651.8791691.979742e-08
1.248431.8790471.988949e-08
1.254241.8789251.998199e-08
1.260071.8788032.007493e-08
1.265931.8786812.016829e-08
1.271821.878562.026209e-08
1.277741.8784382.035633e-08
1.283681.8783172.045101e-08
1.289651.8781952.054612e-08
1.295651.8780742.064168e-08
1.301671.8779532.073768e-08
1.307731.8778322.083413e-08
1.313811.8777112.093103e-08
1.319921.8775892.102837e-08
1.326061.8774682.112617e-08
1.332231.8773472.122443e-08
1.338431.8772262.132314e-08
1.344651.8771052.142231e-08
1.350911.8769832.152195e-08
1.357191.8768622.162204e-08
1.36351.8767412.172260e-08
1.369851.8766192.182363e-08
1.376221.8764982.192513e-08
1.382621.8763762.202711e-08
1.389051.8762542.212955e-08
1.395511.8761322.223247e-08
1.41.8760482.230400e-08
1.4021.876012.246359e-08
1.408521.8758882.298368e-08
1.415071.8757652.350620e-08
1.421661.8756432.403115e-08
1.428271.875522.455853e-08
1.434911.8753972.508837e-08
1.441591.8752742.562068e-08
1.448291.8751512.615546e-08
1.455031.8750272.669273e-08
1.46181.8749032.723249e-08
1.468591.8747792.777477e-08
1.475431.8746552.831957e-08
1.482291.874532.886690e-08
1.489181.8744052.941678e-08
1.496111.874282.996922e-08
1.503071.8741543.052423e-08
1.510061.8740283.108182e-08
1.517081.8739023.164200e-08
1.524141.8737753.220479e-08
1.531231.8736483.277019e-08
1.538351.8735213.333823e-08
1.545511.8733933.390891e-08
1.55271.8732653.448224e-08
1.559921.8731373.505824e-08
1.567171.8730083.563691e-08
1.574461.8728783.621828e-08
1.581791.8727493.680236e-08
1.589141.8726183.738915e-08
1.596541.8724883.797867e-08
1.61.8724263.825500e-08
1.603961.8723563.949021e-08
1.611421.8722254.181660e-08
1.618921.8720924.415380e-08
1.626451.8719594.650188e-08
1.634011.8718264.886088e-08
1.641611.8716925.123086e-08
1.649251.8715585.361185e-08
1.656921.8714235.600393e-08
1.664631.8712875.840712e-08
1.672371.8711516.082150e-08
1.680151.8710146.324711e-08
1.687961.8708776.568399e-08
1.695811.8707386.813222e-08
1.70371.87067.059183e-08
1.711631.870467.306288e-08
1.719591.870327.554542e-08
1.727591.8701797.803951e-08
1.735621.8700388.054521e-08
1.743691.8698958.306255e-08
1.751811.8697528.559161e-08
1.759951.8696098.813243e-08
1.768141.8694649.068507e-08
1.776361.8693199.324958e-08
1.784631.8691739.582602e-08
1.792931.8690269.841444e-08
1.81.86891.006200e-07
1.801271.8688781.020189e-07
1.809641.8687291.112736e-07
1.818061.868581.205713e-07
1.826521.8684291.299122e-07
1.835011.8682781.392966e-07
1.843551.8681261.487246e-07
1.852121.8679731.581965e-07
1.860741.8678191.677125e-07
1.869391.8676641.772727e-07
1.878091.8675081.868774e-07
1.886821.8673511.965268e-07
1.89561.8671932.062210e-07
1.904421.8670342.159603e-07
1.913281.8668752.257450e-07
1.922181.8667142.355751e-07
1.931121.8665512.454510e-07
1.94011.8663882.553728e-07
1.949121.8662242.653407e-07
1.958191.8660592.753551e-07
1.96731.8658922.854159e-07
1.976451.8657252.955236e-07
1.985641.8655563.056784e-07
1.994881.8653863.158803e-07
21.8652923.215400e-07
2.004161.8652153.319877e-07
2.013481.8650423.554274e-07
2.022841.8648693.789761e-07
2.032251.8646944.026343e-07
2.04171.8645184.264026e-07
2.05121.864344.502814e-07
2.060741.8641624.742713e-07
2.070331.8639824.983728e-07
2.079961.86385.225864e-07
2.089631.8636175.469126e-07
2.099351.8634335.713519e-07
2.109121.8632475.959049e-07
2.118931.863066.205722e-07
2.128781.8628726.453542e-07
2.138681.8626826.702514e-07
2.148631.8624916.952644e-07
2.158621.8622987.203938e-07
2.168671.8621037.456401e-07
2.178751.8619077.710038e-07
2.188891.861717.964855e-07
2.199071.861518.220857e-07
2.21.8614928.244300e-07
2.20931.861319.356212e-07
2.219571.8611071.058533e-06
2.22991.8609031.182016e-06
2.240271.8606971.306074e-06
2.250691.860491.430709e-06
2.261161.860281.555923e-06
2.271671.8600691.681720e-06
2.282241.8598571.808102e-06
2.292861.8596421.935072e-06
2.303521.8594262.062633e-06
2.314241.8592072.190786e-06
2.3251.8589872.319536e-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
—