Optical constants

Refractive index of H-ZLAF56B (CDGM)

H-ZLAF56B: 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
2.56224e-08
Permittivity ε1
3.262
Permittivity ε2
9.25532e-08
Absorption coefficient α
0.00547958 cm⁻¹
Penetration depth δ = λ/(2πk)
3.64991e+09 nm
Abbe number Vd
33.287
Chromatic dispersion dn/dλ
-0.122484 µm⁻¹
Group index ng
1.87807
Group velocity dispersion
240.267 fs²/mm
Dispersion parameter D
-1310.78 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-ZLAF56B (CDGM): H-ZLAF56B
cdgm_h_zlaf56b = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-ZLAF56B", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_zlaf56b.range_nm)  # (365, 1014) nm
eps = cdgm_h_zlaf56b.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=3.14933428−0.0111549297⁢λ2.0+0.0375191596⁢λ−2.0+0.000787288786⁢λ−4.0+2.9727118×10-5⁢λ−6.0+7.44861477×10-6⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C13.14933428
C2-0.0111549297
C32.0
C40.0375191596
C5-2.0
C60.000787288786
C7-4.0
C82.9727118e-05
C9-6.0
C107.44861477e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -9.87e-07 1.97e-08 -1.23e-10 8.59e-07 9.48e-10 0.252
nd
1.806105
Vd
33.286897
glass code
806333
glass status
standard
density
value: 3790
thermal expansion
value: 7.4e-06, temperature range: 243 343; value: 8.6e-06, temperature range: 293 573
dPgF
0.0013
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 9.72e-07 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-ZLAF56B (CDGM), H-ZLAF56B: n and k versus wavelength
λ (µm)nk
0.3651.8735114.308050e-06
0.3659361.8728253.935668e-06
0.3668741.8721463.562332e-06
0.3678151.8714723.188038e-06
0.3687581.8708052.812784e-06
0.3697041.8701442.436568e-06
0.371.8699382.318600e-06
0.3706511.8694892.235297e-06
0.3716021.868842.113772e-06
0.3725551.8681961.991935e-06
0.373511.8675591.869785e-06
0.3744681.8669271.747323e-06
0.3754281.8663011.624546e-06
0.376391.865681.501455e-06
0.3773561.8650651.378048e-06
0.3783231.8644551.254324e-06
0.3792931.8638511.130284e-06
0.381.8634151.039900e-06
0.3802661.8632521.027535e-06
0.3812411.8626589.821612e-07
0.3822181.8620699.366707e-07
0.3831981.8614858.910635e-07
0.3841811.8609078.453394e-07
0.3851661.8603337.994981e-07
0.3861541.8597647.535392e-07
0.3871441.85927.074625e-07
0.3881361.8586416.612676e-07
0.3891321.8580876.149543e-07
0.391.8576085.745400e-07
0.3901291.8575375.717687e-07
0.391131.8569925.503307e-07
0.3921331.8564525.288378e-07
0.3931381.8559165.072897e-07
0.3941461.8553854.856864e-07
0.3951571.8548584.640277e-07
0.396171.8543354.423135e-07
0.3971861.8538174.205436e-07
0.3982041.8533033.987179e-07
0.3992251.8527933.768362e-07
0.41.852413.602300e-07
0.4002491.8522873.582332e-07
0.4012751.8517863.499958e-07
0.4023041.8512883.417373e-07
0.4033351.8507953.334576e-07
0.404371.8503053.251567e-07
0.4054071.849823.168346e-07
0.4064461.8493383.084910e-07
0.4074881.848863.001261e-07
0.4085331.8483862.917397e-07
0.4095811.8479162.833319e-07
0.4106311.8474492.749025e-07
0.4116841.8469872.664514e-07
0.4127391.8465272.579787e-07
0.4137981.8460722.494843e-07
0.4148591.845622.409681e-07
0.4159221.8451712.324300e-07
0.4169891.8447262.238701e-07
0.4180581.8442842.152882e-07
0.419131.8438462.066843e-07
0.421.8434941.997000e-07
0.4202051.8434111.990822e-07
0.4212821.842981.958278e-07
0.4223621.8425521.925650e-07
0.4234451.8421271.892939e-07
0.4245311.8417051.860144e-07
0.4256191.8412871.827265e-07
0.4267111.8408711.794302e-07
0.4278051.8404591.761254e-07
0.4289021.840051.728121e-07
0.4300021.8396441.694903e-07
0.4311041.8392411.661600e-07
0.4322091.8388411.628212e-07
0.4333181.8384441.594738e-07
0.4344291.8380491.561179e-07
0.4355431.8376581.527533e-07
0.4366591.837271.493801e-07
0.4377791.8368841.459982e-07
0.4389021.8365021.426077e-07
0.441.8361311.392900e-07
0.4400271.8361221.392423e-07
0.4411551.8357441.372492e-07
0.4422861.835371.352511e-07
0.443421.8349981.332477e-07
0.4445571.8346291.312393e-07
0.4456971.8342631.292257e-07
0.446841.8338991.272069e-07
0.4479861.8335381.251830e-07
0.4491351.8331791.231538e-07
0.4502861.8328231.211195e-07
0.4514411.832471.190799e-07
0.4525981.8321191.170352e-07
0.4537591.831771.149851e-07
0.4549221.8314241.129299e-07
0.4560891.831081.108693e-07
0.4572581.8307391.088035e-07
0.4584311.83041.067323e-07
0.4596061.8300631.046559e-07
0.461.8299511.039600e-07
0.4607851.8297291.027563e-07
0.4619661.8293971.009434e-07
0.4631511.8290689.912597e-08
0.4643381.828749.730385e-08
0.4655291.8284159.547704e-08
0.4667221.8280929.364556e-08
0.4679191.8277729.180938e-08
0.4691191.8274538.996849e-08
0.4703221.8271378.812288e-08
0.4715281.8268238.627254e-08
0.4727371.8265118.441745e-08
0.4739491.8262018.255761e-08
0.4751641.8258938.069299e-08
0.4763821.8255877.882360e-08
0.4776041.8252837.694942e-08
0.4788291.8249817.507042e-08
0.481.8246957.327300e-08
0.4800561.8246827.322465e-08
0.4812871.8243847.216761e-08
0.4825211.8240887.110786e-08
0.4837581.8237947.004539e-08
0.4849991.8235026.898020e-08
0.4862421.8232126.791228e-08
0.4874891.8229246.684162e-08
0.4887391.8226386.576821e-08
0.4899921.8223546.469205e-08
0.4912491.8220716.361313e-08
0.4925081.8217916.253145e-08
0.4937711.8215126.144699e-08
0.4950371.8212356.035975e-08
0.4963071.8209595.926972e-08
0.4975791.8206865.817690e-08
0.4988551.8204145.708128e-08
0.51.8201735.609800e-08
0.5001341.8201445.603000e-08
0.5014161.8198765.537976e-08
0.5027021.819615.472784e-08
0.5039911.8193455.407426e-08
0.5052831.8190825.341900e-08
0.5065791.818825.276205e-08
0.5078781.818565.210343e-08
0.509181.8183025.144311e-08
0.5104861.8180465.078110e-08
0.5117951.8177915.011740e-08
0.5131071.8175374.945199e-08
0.5144231.8172864.878488e-08
0.5157421.8170354.811605e-08
0.5170641.8167874.744551e-08
0.518391.816544.677326e-08
0.5197191.8162944.609927e-08
0.5210521.816054.542356e-08
0.5223881.8158084.474612e-08
0.5237271.8155674.406694e-08
0.525071.8153274.338602e-08
0.5264161.8150894.270335e-08
0.5277661.8148524.201894e-08
0.5291191.8146174.133276e-08
0.5304761.8143834.064483e-08
0.5318361.8141513.995513e-08
0.53321.813923.926367e-08
0.5345671.8136913.857043e-08
0.5359381.8134633.787542e-08
0.5373121.8132363.717862e-08
0.538691.813013.648004e-08
0.5400711.8127863.577966e-08
0.5414561.8125643.507749e-08
0.5428441.8123423.437352e-08
0.5442361.8121223.366774e-08
0.5456311.8119043.296016e-08
0.547031.8116863.225076e-08
0.5484331.811473.153954e-08
0.5498391.8112553.082650e-08
0.551.8112313.074500e-08
0.5512491.8110423.057482e-08
0.5526631.8108293.038225e-08
0.554081.8106183.018919e-08
0.55551.8104092.999563e-08
0.5569251.81022.980158e-08
0.5583531.8099932.960703e-08
0.5597841.8097872.941198e-08
0.561221.8095822.921643e-08
0.5626591.8093782.902038e-08
0.5641011.8091752.882382e-08
0.5655481.8089742.862677e-08
0.5669981.8087742.842920e-08
0.5684521.8085752.823113e-08
0.5699091.8083772.803255e-08
0.5713711.808182.783347e-08
0.5728361.8079842.763387e-08
0.5743041.807792.743376e-08
0.5757771.8075972.723314e-08
0.5772531.8074042.703200e-08
0.5787331.8072132.683035e-08
0.5802171.8070232.662818e-08
0.5817051.8068342.642549e-08
0.5831971.8066462.622228e-08
0.5846921.8064592.601855e-08
0.5861911.8062732.581430e-08
0.5876941.8060892.560953e-08
0.5892011.8059052.540423e-08
0.5907121.8057222.519840e-08
0.5922271.8055412.499205e-08
0.5937451.805362.478517e-08
0.5952681.805182.457775e-08
0.5967941.8050022.436981e-08
0.5983241.8048242.416133e-08
0.5998581.8046472.395231e-08
0.61.8046312.393300e-08
0.6013961.8044722.398871e-08
0.6029381.8042972.405024e-08
0.6044841.8041232.411193e-08
0.6060341.8039512.417377e-08
0.6075881.8037792.423577e-08
0.6091461.8036082.429793e-08
0.6107081.8034382.436025e-08
0.6122741.8032692.442273e-08
0.6138441.8031012.448537e-08
0.6154181.8029342.454817e-08
0.6169961.8027682.461113e-08
0.6185781.8026022.467425e-08
0.6201641.8024382.473754e-08
0.6217541.8022742.480099e-08
0.6233481.8021122.486460e-08
0.6249471.801952.492837e-08
0.6265491.8017892.499231e-08
0.6281561.8016292.505641e-08
0.6297661.801472.512067e-08
0.6313811.8013122.518510e-08
0.6331.8011542.524970e-08
0.6346231.8009972.531446e-08
0.636251.8008422.537938e-08
0.6378821.8006872.544447e-08
0.6395171.8005332.550973e-08
0.6411571.8003792.557516e-08
0.6428011.8002272.564076e-08
0.6444491.8000752.570652e-08
0.6461021.7999242.577245e-08
0.6477581.7997742.583855e-08
0.6494191.7996252.590482e-08
0.651.7995732.592800e-08
0.6510841.7994762.597124e-08
0.6527541.7993292.603782e-08
0.6544271.7991822.610457e-08
0.6561051.7990352.617148e-08
0.6577881.798892.623858e-08
0.6594741.7987452.630584e-08
0.6611651.7986012.637327e-08
0.6628611.7984582.644088e-08
0.664561.7983162.650866e-08
0.6662641.7981742.657662e-08
0.6679731.7980332.664475e-08
0.6696851.7978932.671305e-08
0.6714021.7977532.678153e-08
0.6731241.7976142.685018e-08
0.674851.7974762.691902e-08
0.676581.7973392.698802e-08
0.6783151.7972022.705721e-08
0.6800541.7970662.712657e-08
0.6817981.7969312.719611e-08
0.6835461.7967962.726583e-08
0.6852991.7966622.733572e-08
0.6870561.7965292.740580e-08
0.6888181.7963962.747605e-08
0.6905841.7962642.754649e-08
0.6923551.7961332.761710e-08
0.694131.7960032.768790e-08
0.695911.7958732.775888e-08
0.6976941.7957432.783004e-08
0.6994831.7956152.790138e-08
0.71.7955782.792200e-08
0.7012771.7954872.797292e-08
0.7030751.7953592.804465e-08
0.7048771.7952322.811656e-08
0.7066851.7951062.818866e-08
0.7084971.7949812.826094e-08
0.7103131.7948562.833341e-08
0.7121351.7947322.840606e-08
0.7139611.7946082.847890e-08
0.7157911.7944852.855192e-08
0.7176271.7943622.862513e-08
0.7194671.794242.869853e-08
0.7213121.7941192.877212e-08
0.7231611.7939982.884590e-08
0.7250151.7938782.891986e-08
0.7268741.7937592.899402e-08
0.7287381.793642.906836e-08
0.7306071.7935212.914290e-08
0.732481.7934042.921763e-08
0.7343581.7932862.929255e-08
0.7362411.793172.936766e-08
0.7381291.7930532.944296e-08
0.7400221.7929382.951846e-08
0.7419191.7928232.959415e-08
0.7438211.7927082.967003e-08
0.7457291.7925942.974611e-08
0.7476411.7924812.982239e-08
0.7495581.7923682.989886e-08
0.751481.7922562.997552e-08
0.7534061.7921443.005238e-08
0.7553381.7920323.012944e-08
0.7572751.7919223.020670e-08
0.7592171.7918113.028416e-08
0.7611631.7917023.036181e-08
0.7631151.7915923.043966e-08
0.7650721.7914833.051772e-08
0.7670341.7913753.059597e-08
0.7691.7912673.067442e-08
0.7709721.791163.075308e-08
0.7729491.7910533.083193e-08
0.7749311.7909473.091099e-08
0.7769181.7908413.099025e-08
0.778911.7907363.106972e-08
0.7809071.7906313.114938e-08
0.7829091.7905273.122926e-08
0.7849171.7904233.130933e-08
0.7869291.7903193.138962e-08
0.7889471.7902163.147010e-08
0.790971.7901143.155080e-08
0.7929981.7900113.163170e-08
0.7950321.789913.171281e-08
0.797071.7898093.179413e-08
0.7991141.7897083.187565e-08
0.81.7896643.191100e-08
0.8011631.7896083.148380e-08
0.8032171.7895083.072911e-08
0.8052771.7894082.997248e-08
0.8073411.7893092.921392e-08
0.8094111.7892112.845341e-08
0.8114871.7891132.769095e-08
0.8135681.7890152.692653e-08
0.8156541.7889182.616016e-08
0.8177451.7888212.539182e-08
0.8198421.7887242.462150e-08
0.8219441.7886282.384922e-08
0.8240521.7885322.307495e-08
0.8261641.7884372.229870e-08
0.8282831.7883422.152046e-08
0.8304071.7882482.074022e-08
0.8325361.7881541.995798e-08
0.8346711.788061.917374e-08
0.8368111.7879671.838749e-08
0.8389561.7878741.759922e-08
0.8411081.7877821.680892e-08
0.8432641.7876891.601661e-08
0.8454261.7875981.522226e-08
0.8475941.7875061.442587e-08
0.8497671.7874151.362744e-08
0.851.7874061.354200e-08
0.8519461.7873251.357299e-08
0.8541311.7872341.360776e-08
0.8563211.7871451.364263e-08
0.8585171.7870551.367758e-08
0.8607181.7869661.371263e-08
0.8629251.7868771.374776e-08
0.8651371.7867891.378299e-08
0.8673561.7867011.381830e-08
0.869581.7866131.385371e-08
0.8718091.7865251.388920e-08
0.8740451.7864381.392479e-08
0.8762861.7863521.396047e-08
0.8785331.7862651.399624e-08
0.8807851.7861791.403210e-08
0.8830441.7860931.406806e-08
0.8853081.7860081.410410e-08
0.8875781.7859231.414024e-08
0.8898541.7858381.417647e-08
0.8921351.7857541.421280e-08
0.8944231.785671.424921e-08
0.8967161.7855861.428572e-08
0.8990161.7855021.432233e-08
0.91.7854671.433800e-08
0.9013211.7854191.435905e-08
0.9036321.7853361.439589e-08
0.9059491.7852541.443282e-08
0.9082721.7851721.446985e-08
0.9106011.785091.450697e-08
0.9129351.7850081.454419e-08
0.9152761.7849271.458150e-08
0.9176231.7848461.461891e-08
0.9199761.7847651.465642e-08
0.9223351.7846851.469402e-08
0.92471.7846041.473172e-08
0.9270711.7845241.476951e-08
0.9294481.7844451.480740e-08
0.9318311.7843661.484539e-08
0.934221.7842871.488347e-08
0.9366161.7842081.492166e-08
0.9390171.7841291.495994e-08
0.9414251.7840511.499832e-08
0.9438391.7839731.503679e-08
0.9462591.7838951.507537e-08
0.9486851.7838181.511405e-08
0.951.7837761.513500e-08
0.9511181.7837411.515280e-08
0.9535571.7836641.519162e-08
0.9560021.7835871.523055e-08
0.9584531.7835111.526957e-08
0.9609111.7834351.530870e-08
0.9633741.7833591.534792e-08
0.9658451.7832831.538725e-08
0.9683211.7832081.542667e-08
0.9708041.7831331.546620e-08
0.9732931.7830581.550583e-08
0.9757891.7829831.554556e-08
0.9782911.7829091.558539e-08
0.9807991.7828351.562532e-08
0.9833141.7827611.566536e-08
0.9858351.7826871.570550e-08
0.9883631.7826131.574574e-08
0.9908971.782541.578609e-08
0.9934381.7824671.582653e-08
0.9959851.7823941.586709e-08
0.9985391.7823221.590774e-08
11.782281.593100e-08
1.00111.7822491.594852e-08
1.003671.7821771.598942e-08
1.006241.7821051.603042e-08
1.008821.7820331.607153e-08
1.011411.7819621.611275e-08
1.0141.7818911.615407e-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
—