Optical constants

Refractive index of H-ZLAF52 (CDGM)

H-ZLAF52: 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
1.8061
Extinction coefficient k
3.17544e-08
Permittivity ε1
3.26198
Permittivity ε2
1.14703e-07
Absorption coefficient α
0.00679097 cm⁻¹
Penetration depth δ = λ/(2πk)
2.94509e+09 nm
Abbe number Vd
40.945
Chromatic dispersion dn/dλ
-0.100426 µm⁻¹
Group index ng
1.86511
Group velocity dispersion
188.906 fs²/mm
Dispersion parameter D
-1030.58 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-ZLAF52 (CDGM): H-ZLAF52
cdgm_h_zlaf52 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF52", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf52.range_nm)  # (365, 1014) nm
eps = cdgm_h_zlaf52.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=3.16943454−0.0124379117⁢λ2.0+0.0322101116⁢λ−2.0+0.000181456299⁢λ−4.0+8.90652926×10-5⁢λ−6.0−1.91933145×10-6⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C13.16943454
C2-0.0124379117
C32.0
C40.0322101116
C5-2.0
C60.000181456299
C7-4.0
C88.90652926e-05
C9-6.0
C10-1.91933145e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 7.46e-06 1.78e-08 -1.51e-10 7.13e-07 6.48e-10 0.252
nd
1.806099
Vd
40.945389
glass code
806410
density
value: 4450
thermal expansion
value: 5.8e-06, temperature range: 243 343; value: 7.2e-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 = 5.97e-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-ZLAF52 (CDGM), H-ZLAF52: n and k versus wavelength
λ (µm)nk
0.3651.857781.017840e-06
0.3659361.8572969.537577e-07
0.3668741.8568158.895110e-07
0.3678151.8563388.250996e-07
0.3687581.8558657.605230e-07
0.3697041.8553946.957809e-07
0.371.8552486.754800e-07
0.3706511.8549286.566578e-07
0.3716021.8544646.291994e-07
0.3725551.8540046.016705e-07
0.373511.8535475.740711e-07
0.3744681.8530945.464009e-07
0.3754281.8526445.186598e-07
0.376391.8521974.908475e-07
0.3773561.8517534.629639e-07
0.3783231.8513134.350088e-07
0.3792931.8508754.069820e-07
0.381.8505593.865600e-07
0.3802661.8504413.828963e-07
0.3812411.850013.694515e-07
0.3822181.8495813.559723e-07
0.3831981.8491563.424585e-07
0.3841811.8487343.289101e-07
0.3851661.8483153.153269e-07
0.3861541.8478993.017089e-07
0.3871441.8474862.880560e-07
0.3881361.8470752.743681e-07
0.3891321.8466682.606451e-07
0.391.8463162.486700e-07
0.3901291.8462632.476959e-07
0.391131.8458622.401604e-07
0.3921331.8454632.326057e-07
0.3931381.8450662.250315e-07
0.3941461.8446732.174380e-07
0.3951571.8442822.098249e-07
0.396171.8438942.021924e-07
0.3971861.8435091.945402e-07
0.3982041.8431271.868685e-07
0.3992251.8427471.791771e-07
0.41.8424611.733400e-07
0.4002491.8423691.725359e-07
0.4012751.8419951.692190e-07
0.4023041.8416221.658936e-07
0.4033351.8412531.625597e-07
0.404371.8408861.592172e-07
0.4054071.8405211.558661e-07
0.4064461.8401591.525065e-07
0.4074881.83981.491382e-07
0.4085331.8394421.457613e-07
0.4095811.8390881.423757e-07
0.4106311.8387351.389815e-07
0.4116841.8383851.355785e-07
0.4127391.8380381.321669e-07
0.4137981.8376931.287464e-07
0.4148591.837351.253172e-07
0.4159221.8370091.218793e-07
0.4169891.8366711.184325e-07
0.4180581.8363351.149768e-07
0.419131.8360011.115123e-07
0.421.8357321.087000e-07
0.4202051.8356691.084949e-07
0.4212821.835341.074147e-07
0.4223621.8350131.063317e-07
0.4234451.8346881.052459e-07
0.4245311.8343651.041573e-07
0.4256191.8340441.030660e-07
0.4267111.8337261.019718e-07
0.4278051.8334091.008748e-07
0.4289021.8330959.977505e-08
0.4300021.8327829.867245e-08
0.4311041.8324729.756702e-08
0.4322091.8321649.645876e-08
0.4333181.8318589.534765e-08
0.4344291.8315539.423370e-08
0.4355431.8312519.311689e-08
0.4366591.8309519.199722e-08
0.4377791.8306529.087468e-08
0.4389021.8303568.974925e-08
0.441.8300688.864800e-08
0.4400271.8300618.861308e-08
0.4411551.8297698.715293e-08
0.4422861.8294788.568904e-08
0.443421.8291898.422140e-08
0.4445571.8289028.274999e-08
0.4456971.8286178.127481e-08
0.446841.8283347.979585e-08
0.4479861.8280527.831309e-08
0.4491351.8277727.682654e-08
0.4502861.8274947.533617e-08
0.4514411.8272187.384198e-08
0.4525981.8269447.234396e-08
0.4537591.8266717.084210e-08
0.4549221.82646.933638e-08
0.4560891.8261316.782681e-08
0.4572581.8258636.631336e-08
0.4584311.8255986.479604e-08
0.4596061.8253336.327482e-08
0.461.8252456.276500e-08
0.4607851.8250716.211184e-08
0.4619661.824816.112819e-08
0.4631511.8245516.014202e-08
0.4643381.8242935.915332e-08
0.4655291.8240375.816208e-08
0.4667221.8237825.716831e-08
0.4679191.8235295.617198e-08
0.4691191.8232785.517310e-08
0.4703221.8230285.417166e-08
0.4715281.822785.316765e-08
0.4727371.8225335.216106e-08
0.4739491.8222885.115190e-08
0.4751641.8220455.014015e-08
0.4763821.8218024.912580e-08
0.4776041.8215624.810885e-08
0.4788291.8213224.708930e-08
0.481.8210964.611400e-08
0.4800561.8210854.608545e-08
0.4812871.8208484.546126e-08
0.4825211.8206134.483546e-08
0.4837581.820384.420807e-08
0.4849991.8201484.357906e-08
0.4862421.8199174.294844e-08
0.4874891.8196884.231621e-08
0.4887391.819464.168235e-08
0.4899921.8192344.104687e-08
0.4912491.8190084.040976e-08
0.4925081.8187853.977101e-08
0.4937711.8185623.913063e-08
0.4950371.8183413.848860e-08
0.4963071.8181213.784493e-08
0.4975791.8179033.719961e-08
0.4988551.8176863.655263e-08
0.51.8174923.597200e-08
0.5001341.817473.594617e-08
0.5014161.8172553.569913e-08
0.5027021.8170423.545146e-08
0.5039911.8168293.520315e-08
0.5052831.8166193.495420e-08
0.5065791.8164093.470462e-08
0.5078781.8162013.445440e-08
0.509181.8159933.420354e-08
0.5104861.8157873.395203e-08
0.5117951.8155833.369988e-08
0.5131071.8153793.344708e-08
0.5144231.8151773.319363e-08
0.5157421.8149753.293953e-08
0.5170641.8147753.268479e-08
0.518391.8145763.242938e-08
0.5197191.8143793.217333e-08
0.5210521.8141823.191662e-08
0.5223881.8139873.165924e-08
0.5237271.8137923.140121e-08
0.525071.8135993.114252e-08
0.5264161.8134073.088316e-08
0.5277661.8132163.062314e-08
0.5291191.8130263.036246e-08
0.5304761.8128373.010110e-08
0.5318361.8126492.983907e-08
0.53321.8124632.957638e-08
0.5345671.8122772.931300e-08
0.5359381.8120922.904896e-08
0.5373121.8119092.878423e-08
0.538691.8117262.851883e-08
0.5400711.8115452.825275e-08
0.5414561.8113642.798598e-08
0.5428441.8111852.771853e-08
0.5442361.8110062.745040e-08
0.5456311.8108292.718157e-08
0.547031.8106522.691206e-08
0.5484331.8104772.664186e-08
0.5498391.8103022.637096e-08
0.551.8102832.634000e-08
0.5512491.8101292.651987e-08
0.5526631.8099562.672341e-08
0.554081.8097852.692747e-08
0.55551.8096142.713205e-08
0.5569251.8094442.733716e-08
0.5583531.8092762.754279e-08
0.5597841.8091082.774895e-08
0.561221.8089412.795564e-08
0.5626591.8087752.816285e-08
0.5641011.808612.837060e-08
0.5655481.8084452.857889e-08
0.5669981.8082822.878770e-08
0.5684521.8081192.899705e-08
0.5699091.8079582.920694e-08
0.5713711.8077972.941737e-08
0.5728361.8076372.962834e-08
0.5743041.8074782.983984e-08
0.5757771.807323.005189e-08
0.5772531.8071633.026449e-08
0.5787331.8070073.047762e-08
0.5802171.8068513.069131e-08
0.5817051.8066963.090554e-08
0.5831971.8065423.112032e-08
0.5846921.8063893.133566e-08
0.5861911.8062373.155154e-08
0.5876941.8060863.176798e-08
0.5892011.8059353.198497e-08
0.5907121.8057853.220252e-08
0.5922271.8056363.242063e-08
0.5937451.8054883.263930e-08
0.5952681.805343.285852e-08
0.5967941.8051943.307831e-08
0.5983241.8050483.329867e-08
0.5998581.8049023.351959e-08
0.61.8048893.354000e-08
0.6013961.8047583.376361e-08
0.6029381.8046143.401055e-08
0.6044841.8044713.425812e-08
0.6060341.8043293.450633e-08
0.6075881.8041883.475518e-08
0.6091461.8040473.500466e-08
0.6107081.8039073.525478e-08
0.6122741.8037683.550555e-08
0.6138441.8036293.575695e-08
0.6154181.8034913.600901e-08
0.6169961.8033543.626170e-08
0.6185781.8032183.651505e-08
0.6201641.8030823.676905e-08
0.6217541.8029473.702369e-08
0.6233481.8028123.727899e-08
0.6249471.8026793.753495e-08
0.6265491.8025463.779156e-08
0.6281561.8024133.804883e-08
0.6297661.8022823.830676e-08
0.6313811.8021513.856535e-08
0.6331.802023.882460e-08
0.6346231.8018913.908452e-08
0.636251.8017623.934510e-08
0.6378821.8016333.960636e-08
0.6395171.8015063.986828e-08
0.6411571.8013794.013087e-08
0.6428011.8012524.039414e-08
0.6444491.8011264.065808e-08
0.6461021.8010014.092270e-08
0.6477581.8008764.118800e-08
0.6494191.8007524.145397e-08
0.651.8007094.154700e-08
0.6510841.8006294.161631e-08
0.6527541.8005064.172302e-08
0.6544271.8003844.183000e-08
0.6561051.8002624.193726e-08
0.6577881.8001414.204479e-08
0.6594741.8000214.215260e-08
0.6611651.7999014.226069e-08
0.6628611.7997824.236905e-08
0.664561.7996634.247769e-08
0.6662641.7995454.258661e-08
0.6679731.7994284.269581e-08
0.6696851.7993114.280529e-08
0.6714021.7991944.291504e-08
0.6731241.7990794.302508e-08
0.674851.7989634.313541e-08
0.676581.7988494.324601e-08
0.6783151.7987344.335690e-08
0.6800541.7986214.346808e-08
0.6817981.7985084.357953e-08
0.6835461.7983954.369128e-08
0.6852991.7982834.380331e-08
0.6870561.7981724.391563e-08
0.6888181.7980614.402823e-08
0.6905841.797954.414113e-08
0.6923551.797844.425431e-08
0.694131.7977314.436779e-08
0.695911.7976224.448155e-08
0.6976941.7975134.459561e-08
0.6994831.7974054.470996e-08
0.71.7973744.474300e-08
0.7012771.7972984.449755e-08
0.7030751.7971914.415182e-08
0.7048771.7970854.380521e-08
0.7066851.7969794.345770e-08
0.7084971.7968734.310931e-08
0.7103131.7967684.276002e-08
0.7121351.7966644.240984e-08
0.7139611.796564.205876e-08
0.7157911.7964564.170678e-08
0.7176271.7963534.135390e-08
0.7194671.796254.100011e-08
0.7213121.7961484.064542e-08
0.7231611.7960464.028981e-08
0.7250151.7959453.993330e-08
0.7268741.7958443.957587e-08
0.7287381.7957443.921752e-08
0.7306071.7956443.885825e-08
0.732481.7955443.849807e-08
0.7343581.7954453.813696e-08
0.7362411.7953473.777492e-08
0.7381291.7952493.741196e-08
0.7400221.7951513.704806e-08
0.7419191.7950533.668323e-08
0.7438211.7949573.631747e-08
0.7457291.794863.595077e-08
0.7476411.7947643.558313e-08
0.7495581.7946683.521454e-08
0.751481.7945733.484501e-08
0.7534061.7944783.447453e-08
0.7553381.7943843.410311e-08
0.7572751.794293.373073e-08
0.7592171.7941963.335739e-08
0.7611631.7941033.298310e-08
0.7631151.794013.260785e-08
0.7650721.7939183.223164e-08
0.7670341.7938253.185446e-08
0.7691.7937343.147631e-08
0.7709721.7936423.109720e-08
0.7729491.7935523.071711e-08
0.7749311.7934613.033605e-08
0.7769181.7933712.995401e-08
0.778911.7932812.957100e-08
0.7809071.7931922.918700e-08
0.7829091.7931022.880201e-08
0.7849171.7930142.841604e-08
0.7869291.7929252.802908e-08
0.7889471.7928372.764112e-08
0.790971.792752.725218e-08
0.7929981.7926622.686223e-08
0.7950321.7925762.647128e-08
0.797071.7924892.607934e-08
0.7991141.7924032.568638e-08
0.81.7923652.551600e-08
0.8011631.7923172.523753e-08
0.8032171.7922312.474557e-08
0.8052771.7921462.425236e-08
0.8073411.7920612.375788e-08
0.8094111.7919762.326214e-08
0.8114871.7918922.276512e-08
0.8135681.7918082.226683e-08
0.8156541.7917252.176726e-08
0.8177451.7916412.126641e-08
0.8198421.7915582.076428e-08
0.8219441.7914762.026085e-08
0.8240521.7913941.975614e-08
0.8261641.7913111.925014e-08
0.8282831.791231.874283e-08
0.8304071.7911481.823423e-08
0.8325361.7910671.772432e-08
0.8346711.7909861.721310e-08
0.8368111.7909061.670057e-08
0.8389561.7908261.618673e-08
0.8411081.7907461.567157e-08
0.8432641.7906661.515509e-08
0.8454261.7905871.463729e-08
0.8475941.7905081.411816e-08
0.8497671.7904291.359770e-08
0.851.7904211.354200e-08
0.8519461.7903511.357299e-08
0.8541311.7902721.360776e-08
0.8563211.7901951.364263e-08
0.8585171.7901171.367758e-08
0.8607181.790041.371263e-08
0.8629251.7899621.374776e-08
0.8651371.7898861.378299e-08
0.8673561.7898091.381830e-08
0.869581.7897331.385371e-08
0.8718091.7896571.388920e-08
0.8740451.7895811.392479e-08
0.8762861.7895051.396047e-08
0.8785331.789431.399624e-08
0.8807851.7893551.403210e-08
0.8830441.789281.406806e-08
0.8853081.7892061.410410e-08
0.8875781.7891321.414024e-08
0.8898541.7890581.417647e-08
0.8921351.7889841.421280e-08
0.8944231.788911.424921e-08
0.8967161.7888371.428572e-08
0.8990161.7887641.432233e-08
0.91.7887331.433800e-08
0.9013211.7886911.435905e-08
0.9036321.7886191.439589e-08
0.9059491.7885461.443282e-08
0.9082721.7884741.446985e-08
0.9106011.7884021.450697e-08
0.9129351.788331.454419e-08
0.9152761.7882591.458150e-08
0.9176231.7881881.461891e-08
0.9199761.7881171.465642e-08
0.9223351.7880461.469402e-08
0.92471.7879751.473172e-08
0.9270711.7879051.476951e-08
0.9294481.7878351.480740e-08
0.9318311.7877651.484539e-08
0.934221.7876951.488347e-08
0.9366161.7876261.492166e-08
0.9390171.7875561.495994e-08
0.9414251.7874871.499832e-08
0.9438391.7874181.503679e-08
0.9462591.7873491.507537e-08
0.9486851.7872811.511405e-08
0.951.7872441.513500e-08
0.9511181.7872121.515280e-08
0.9535571.7871441.519162e-08
0.9560021.7870761.523055e-08
0.9584531.7870081.526957e-08
0.9609111.7869411.530870e-08
0.9633741.7868731.534792e-08
0.9658451.7868061.538725e-08
0.9683211.7867391.542667e-08
0.9708041.7866721.546620e-08
0.9732931.7866051.550583e-08
0.9757891.7865391.554556e-08
0.9782911.7864721.558539e-08
0.9807991.7864061.562532e-08
0.9833141.786341.566536e-08
0.9858351.7862741.570550e-08
0.9883631.7862091.574574e-08
0.9908971.7861431.578609e-08
0.9934381.7860781.582653e-08
0.9959851.7860121.586709e-08
0.9985391.7859471.590774e-08
11.785911.593100e-08
1.00111.7858821.594852e-08
1.003671.7858181.598942e-08
1.006241.7857531.603042e-08
1.008821.7856891.607153e-08
1.011411.7856241.611275e-08
1.0141.785561.615407e-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
—