Optical constants

Refractive index of H-LAF54 (CDGM)

H-LAF54: 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
1.79951
Extinction coefficient k
1.98319e-08
Permittivity ε1
3.23825
Permittivity ε2
7.13756e-08
Absorption coefficient α
0.00424123 cm⁻¹
Penetration depth δ = λ/(2πk)
4.71561e+09 nm
Abbe number Vd
42.253
Chromatic dispersion dn/dλ
-0.0966991 µm⁻¹
Group index ng
1.85634
Group velocity dispersion
179.357 fs²/mm
Dispersion parameter D
-978.485 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-LAF54 (CDGM): H-LAF54
cdgm_h_laf54 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-LAF54", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_laf54.range_nm)  # (365, 1014) nm
eps = cdgm_h_laf54.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=3.14470202−0.010105906⁢λ2.0+0.0343096974⁢λ−2.0−0.000833127912⁢λ−4.0+0.000217008428⁢λ−6.0−8.70147899×10-6⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C13.14470202
C2-0.010105906
C32.0
C40.0343096974
C5-2.0
C6-0.000833127912
C7-4.0
C80.000217008428
C9-6.0
C10-8.70147899e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 6.31e-06 2.13e-08 9.75e-11 1.02e-06 2.29e-10 0.077
nd
1.799519
Vd
42.253294
glass code
800422
density
value: 4510
thermal expansion
value: 5.7e-06, temperature range: 243 343; value: 7e-06, temperature range: 293 573
dPgF
-0.0064
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 5.51e-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-LAF54 (CDGM), H-LAF54: n and k versus wavelength
λ (µm)nk
0.3651.848818.626200e-07
0.3659361.8483558.172892e-07
0.3668741.8479037.718421e-07
0.3678151.8474547.262785e-07
0.3687581.8470086.805981e-07
0.3697041.8465656.348005e-07
0.371.8464266.204400e-07
0.3706511.8461246.007761e-07
0.3716021.8456875.720898e-07
0.3725551.8452535.433299e-07
0.373511.8448225.144963e-07
0.3744681.8443944.855887e-07
0.3754281.8439684.566070e-07
0.376391.8435464.275510e-07
0.3773561.8431263.984205e-07
0.3783231.8427093.692153e-07
0.3792931.8422953.399353e-07
0.381.8419963.186000e-07
0.3802661.8418843.166527e-07
0.3812411.8414763.095067e-07
0.3822181.841073.023423e-07
0.3831981.8406672.951596e-07
0.3841811.8402672.879585e-07
0.3851661.8398692.807389e-07
0.3861541.8394752.735008e-07
0.3871441.8390822.662441e-07
0.3881361.8386932.589688e-07
0.3891321.8383062.516749e-07
0.391.8379722.453100e-07
0.3901291.8379222.442924e-07
0.391131.837542.364209e-07
0.3921331.8371612.285291e-07
0.3931381.8367852.206171e-07
0.3941461.8364112.126849e-07
0.3951571.8360392.047323e-07
0.396171.8356711.967593e-07
0.3971861.8353041.887659e-07
0.3982041.834941.807519e-07
0.3992251.8345791.727174e-07
0.41.8343061.666200e-07
0.4002491.8342191.656426e-07
0.4012751.8338631.616108e-07
0.4023041.8335081.575687e-07
0.4033351.8331561.535162e-07
0.404371.8328071.494533e-07
0.4054071.8324591.453799e-07
0.4064461.8321151.412962e-07
0.4074881.8317721.372019e-07
0.4085331.8314321.330972e-07
0.4095811.8310931.289819e-07
0.4106311.8307581.248561e-07
0.4116841.8304241.207197e-07
0.4127391.8300921.165727e-07
0.4137981.8297631.124151e-07
0.4148591.8294361.082468e-07
0.4159221.8291111.040678e-07
0.4169891.8287899.987812e-08
0.4180581.8284689.567768e-08
0.419131.8281499.146647e-08
0.421.8278938.804800e-08
0.4202051.8278338.768875e-08
0.4212821.8275198.579628e-08
0.4223621.8272068.389895e-08
0.4234451.8268968.199677e-08
0.4245311.8265888.008970e-08
0.4256191.8262827.817775e-08
0.4267111.8259787.626089e-08
0.4278051.8256757.433912e-08
0.4289021.8253757.241242e-08
0.4300021.8250777.048078e-08
0.4311041.8247816.854418e-08
0.4322091.8244866.660262e-08
0.4333181.8241946.465609e-08
0.4344291.8239036.270456e-08
0.4355431.8236146.074803e-08
0.4366591.8233275.878648e-08
0.4377791.8230425.681990e-08
0.4389021.8227595.484828e-08
0.441.8224845.291900e-08
0.4400271.8224785.289225e-08
0.4411551.8221985.177386e-08
0.4422861.821925.065260e-08
0.443421.8216444.952846e-08
0.4445571.821374.840144e-08
0.4456971.8210974.727153e-08
0.446841.8208264.613872e-08
0.4479861.8205574.500301e-08
0.4491351.820294.386439e-08
0.4502861.8200244.272285e-08
0.4514411.819764.157838e-08
0.4525981.8194984.043097e-08
0.4537591.8192373.928062e-08
0.4549221.8189783.812733e-08
0.4560891.8187213.697108e-08
0.4572581.8184653.581186e-08
0.4584311.8182113.464967e-08
0.4596061.8179583.348450e-08
0.461.8178743.309400e-08
0.4607851.8177073.284837e-08
0.4619661.8174573.247844e-08
0.4631511.8172093.210757e-08
0.4643381.8169633.173574e-08
0.4655291.8167183.136297e-08
0.4667221.8164753.098923e-08
0.4679191.8162333.061454e-08
0.4691191.8159923.023889e-08
0.4703221.8157532.986227e-08
0.4715281.8155162.948469e-08
0.4727371.815282.910614e-08
0.4739491.8150452.872662e-08
0.4751641.8148122.834613e-08
0.4763821.814582.796466e-08
0.4776041.814352.758221e-08
0.4788291.8141212.719878e-08
0.481.8139042.683200e-08
0.4800561.8138942.682387e-08
0.4812871.8136682.664619e-08
0.4825211.8134432.646805e-08
0.4837581.8132192.628946e-08
0.4849991.8129972.611041e-08
0.4862421.8127762.593090e-08
0.4874891.8125572.575093e-08
0.4887391.8123392.557050e-08
0.4899921.8121222.538960e-08
0.4912491.8119062.520824e-08
0.4925081.8116922.502642e-08
0.4937711.8114792.484413e-08
0.4950371.8112672.466137e-08
0.4963071.8110572.447814e-08
0.4975791.8108482.429445e-08
0.4988551.810642.411028e-08
0.51.8104542.394500e-08
0.5001341.8104332.393962e-08
0.5014161.8102272.388817e-08
0.5027021.8100232.383659e-08
0.5039911.809822.378488e-08
0.5052831.8096182.373303e-08
0.5065791.8094172.368105e-08
0.5078781.8092172.362894e-08
0.509181.8090192.357669e-08
0.5104861.8088212.352431e-08
0.5117951.8086252.347180e-08
0.5131071.808432.341915e-08
0.5144231.8082362.336637e-08
0.5157421.8080432.331345e-08
0.5170641.8078522.326039e-08
0.518391.8076612.320720e-08
0.5197191.8074712.315387e-08
0.5210521.8072832.310041e-08
0.5223881.8070952.304681e-08
0.5237271.8069092.299307e-08
0.525071.8067242.293919e-08
0.5264161.806542.288518e-08
0.5277661.8063562.283103e-08
0.5291191.8061742.277673e-08
0.5304761.8059932.272230e-08
0.5318361.8058132.266773e-08
0.53321.8056342.261302e-08
0.5345671.8054562.255817e-08
0.5359381.8052792.250318e-08
0.5373121.8051022.244805e-08
0.538691.8049272.239277e-08
0.5400711.8047532.233736e-08
0.5414561.804582.228180e-08
0.5428441.8044082.222610e-08
0.5442361.8042362.217026e-08
0.5456311.8040662.211427e-08
0.547031.8038972.205814e-08
0.5484331.8037282.200187e-08
0.5498391.803562.194545e-08
0.551.8035412.193900e-08
0.5512491.8033942.186900e-08
0.5526631.8032282.178979e-08
0.554081.8030632.171038e-08
0.55551.8028992.163076e-08
0.5569251.8027362.155094e-08
0.5583531.8025742.147091e-08
0.5597841.8024132.139068e-08
0.561221.8022522.131025e-08
0.5626591.8020932.122961e-08
0.5641011.8019342.114876e-08
0.5655481.8017762.106770e-08
0.5669981.8016192.098644e-08
0.5684521.8014632.090496e-08
0.5699091.8013072.082328e-08
0.5713711.8011532.074139e-08
0.5728361.8009992.065929e-08
0.5743041.8008462.057698e-08
0.5757771.8006942.049446e-08
0.5772531.8005432.041172e-08
0.5787331.8003922.032877e-08
0.5802171.8002432.024562e-08
0.5817051.8000942.016224e-08
0.5831971.7999462.007866e-08
0.5846921.7997981.999486e-08
0.5861911.7996521.991084e-08
0.5876941.7995061.982661e-08
0.5892011.7993611.974216e-08
0.5907121.7992161.965750e-08
0.5922271.7990731.957262e-08
0.5937451.798931.948752e-08
0.5952681.7987881.940221e-08
0.5967941.7986461.931667e-08
0.5983241.7985061.923092e-08
0.5998581.7983661.914494e-08
0.61.7983531.913700e-08
0.6013961.7982271.903658e-08
0.6029381.7980881.892567e-08
0.6044841.797951.881449e-08
0.6060341.7978131.870301e-08
0.6075881.7976771.859126e-08
0.6091461.7975411.847921e-08
0.6107081.7974061.836688e-08
0.6122741.7972721.825426e-08
0.6138441.7971381.814135e-08
0.6154181.7970051.802815e-08
0.6169961.7968731.791466e-08
0.6185781.7967411.780088e-08
0.6201641.796611.768681e-08
0.6217541.796481.757245e-08
0.6233481.796351.745779e-08
0.6249471.7962211.734284e-08
0.6265491.7960931.722759e-08
0.6281561.7959651.711205e-08
0.6297661.7958381.699622e-08
0.6313811.7957111.688008e-08
0.6331.7955851.676365e-08
0.6346231.795461.664692e-08
0.636251.7953351.652989e-08
0.6378821.7952111.641256e-08
0.6395171.7950881.629493e-08
0.6411571.7949651.617699e-08
0.6428011.7948431.605876e-08
0.6444491.7947211.594022e-08
0.6461021.79461.582138e-08
0.6477581.7944791.570223e-08
0.6494191.7943591.558278e-08
0.651.7943181.554100e-08
0.6510841.794241.556691e-08
0.6527541.7941211.560681e-08
0.6544271.7940031.564682e-08
0.6561051.7938851.568692e-08
0.6577881.7937681.572713e-08
0.6594741.7936521.576744e-08
0.6611651.7935361.580785e-08
0.6628611.793421.584837e-08
0.664561.7933061.588899e-08
0.6662641.7931911.592971e-08
0.6679731.7930771.597054e-08
0.6696851.7929641.601148e-08
0.6714021.7928511.605252e-08
0.6731241.7927391.609366e-08
0.674851.7926281.613491e-08
0.676581.7925161.617627e-08
0.6783151.7924061.621773e-08
0.6800541.7922961.625930e-08
0.6817981.7921861.630097e-08
0.6835461.7920771.634276e-08
0.6852991.7919681.638464e-08
0.6870561.791861.642664e-08
0.6888181.7917531.646874e-08
0.6905841.7916461.651096e-08
0.6923551.7915391.655328e-08
0.694131.7914331.659571e-08
0.695911.7913271.663824e-08
0.6976941.7912221.668089e-08
0.6994831.7911171.672365e-08
0.71.7910871.673600e-08
0.7012771.7910131.676652e-08
0.7030751.7909091.680952e-08
0.7048771.7908061.685262e-08
0.7066851.7907031.689583e-08
0.7084971.7906011.693916e-08
0.7103131.7904991.698260e-08
0.7121351.7903981.702614e-08
0.7139611.7902971.706980e-08
0.7157911.7901961.711357e-08
0.7176271.7900961.715746e-08
0.7194671.7899961.720145e-08
0.7213121.7898971.724556e-08
0.7231611.7897981.728978e-08
0.7250151.78971.733412e-08
0.7268741.7896021.737857e-08
0.7287381.7895051.742313e-08
0.7306071.7894081.746781e-08
0.732481.7893111.751260e-08
0.7343581.7892151.755750e-08
0.7362411.7891191.760253e-08
0.7381291.7890241.764766e-08
0.7400221.7889291.769291e-08
0.7419191.7888341.773828e-08
0.7438211.788741.778377e-08
0.7457291.7886461.782937e-08
0.7476411.7885531.787509e-08
0.7495581.788461.792092e-08
0.751481.7883671.796688e-08
0.7534061.7882751.801295e-08
0.7553381.7881831.805914e-08
0.7572751.7880921.810545e-08
0.7592171.7880011.815187e-08
0.7611631.787911.819842e-08
0.7631151.787821.824508e-08
0.7650721.787731.829187e-08
0.7670341.787641.833877e-08
0.7691.7875511.838580e-08
0.7709721.7874631.843294e-08
0.7729491.7873741.848021e-08
0.7749311.7872861.852760e-08
0.7769181.7871981.857510e-08
0.778911.7871111.862274e-08
0.7809071.7870241.867049e-08
0.7829091.7869381.871836e-08
0.7849171.7868511.876636e-08
0.7869291.7867651.881448e-08
0.7889471.786681.886273e-08
0.790971.7865951.891110e-08
0.7929981.786511.895959e-08
0.7950321.7864251.900820e-08
0.797071.7863411.905695e-08
0.7991141.7862571.910581e-08
0.81.7862211.912700e-08
0.8011631.7861741.931268e-08
0.8032171.786091.964070e-08
0.8052771.7860071.996957e-08
0.8073411.7859252.029927e-08
0.8094111.7858432.062983e-08
0.8114871.7857612.096123e-08
0.8135681.7856792.129348e-08
0.8156541.7855982.162658e-08
0.8177451.7855172.196053e-08
0.8198421.7854362.229535e-08
0.8219441.7853562.263102e-08
0.8240521.7852762.296755e-08
0.8261641.7851962.330494e-08
0.8282831.7851172.364320e-08
0.8304071.7850382.398233e-08
0.8325361.7849592.432232e-08
0.8346711.784882.466319e-08
0.8368111.7848022.500493e-08
0.8389561.7847242.534755e-08
0.8411081.7846462.569105e-08
0.8432641.7845692.603542e-08
0.8454261.7844922.638068e-08
0.8475941.7844152.672683e-08
0.8497671.7843392.707386e-08
0.851.7843312.711100e-08
0.8519461.7842622.717305e-08
0.8541311.7841862.724269e-08
0.8563211.7841112.731251e-08
0.8585171.7840352.738251e-08
0.8607181.783962.745268e-08
0.8629251.7838852.752304e-08
0.8651371.7838112.759358e-08
0.8673561.7837362.766430e-08
0.869581.7836622.773520e-08
0.8718091.7835892.780628e-08
0.8740451.7835152.787755e-08
0.8762861.7834422.794899e-08
0.8785331.7833692.802062e-08
0.8807851.7832962.809244e-08
0.8830441.7832232.816444e-08
0.8853081.7831512.823662e-08
0.8875781.7830792.830899e-08
0.8898541.7830072.838154e-08
0.8921351.7829362.845428e-08
0.8944231.7828642.852720e-08
0.8967161.7827932.860032e-08
0.8990161.7827232.867362e-08
0.91.7826922.870500e-08
0.9013211.7826522.874713e-08
0.9036321.7825822.882086e-08
0.9059491.7825122.889477e-08
0.9082721.7824422.896887e-08
0.9106011.7823722.904316e-08
0.9129351.7823032.911764e-08
0.9152761.7822332.919231e-08
0.9176231.7821642.926718e-08
0.9199761.7820962.934224e-08
0.9223351.7820272.941748e-08
0.92471.7819592.949293e-08
0.9270711.7818912.956856e-08
0.9294481.7818232.964439e-08
0.9318311.7817552.972041e-08
0.934221.7816882.979663e-08
0.9366161.781622.987305e-08
0.9390171.7815532.994966e-08
0.9414251.7814873.002646e-08
0.9438391.781423.010347e-08
0.9462591.7813533.018067e-08
0.9486851.7812873.025807e-08
0.951.7812523.030000e-08
0.9511181.7812213.015710e-08
0.9535571.7811552.984538e-08
0.9560021.781092.953286e-08
0.9584531.7810242.921954e-08
0.9609111.7809592.890542e-08
0.9633741.7808942.859049e-08
0.9658451.7808292.827475e-08
0.9683211.7807642.795820e-08
0.9708041.78072.764084e-08
0.9732931.7806362.732267e-08
0.9757891.7805712.700368e-08
0.9782911.7805082.668387e-08
0.9807991.7804442.636325e-08
0.9833141.780382.604180e-08
0.9858351.7803172.571953e-08
0.9883631.7802532.539643e-08
0.9908971.780192.507250e-08
0.9934381.7801282.474774e-08
0.9959851.7800652.442215e-08
0.9985391.7800022.409573e-08
11.7799672.390900e-08
1.00111.779942.393530e-08
1.003671.7798782.399669e-08
1.006241.7798162.405824e-08
1.008821.7797542.411994e-08
1.011411.7796922.418181e-08
1.0141.779632.424383e-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
—