Optical constants

Refractive index of D-LAF82L (CDGM)

D-LAF82L: 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
1.73485
Extinction coefficient k
1.87414e-08
Permittivity ε1
3.0097
Permittivity ε2
6.50271e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
48.782
Chromatic dispersion dn/dλ
-0.0775204 µm⁻¹
Group index ng
1.7804
Group velocity dispersion
137.94 fs²/mm
Dispersion parameter D
-752.537 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

# D-LAF82L (CDGM): D-LAF82L
cdgm_d_laf82l = ls.fetch_refractiveindex("specs", "CDGM-optical", "D-LAF82L", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_d_laf82l.range_nm)  # (365, 1014) nm
eps = cdgm_d_laf82l.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=2.9384022−0.011000275⁢λ2.0+0.026895091⁢λ−2.0−0.00074423432⁢λ−4.0+0.00016294737⁢λ−6.0−7.3175367×10-6⁢λ−8.0

Valid from 0.365 to 1.014 µm.

Coefficients as stored
CiValue
C12.9384022
C2-0.011000275
C32.0
C40.026895091
C5-2.0
C6-0.00074423432
C7-4.0
C80.00016294737
C9-6.0
C10-7.3175367e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 9.22e-06 1.91e-08 -1.81e-11 3.77e-07 8.76e-10 0.292
nd
1.734852
Vd
48.782341
glass code
735488
density
value: 4100
thermal expansion
value: 5.3e-06, temperature range: 243 343; value: 7e-06, temperature range: 293 573
dPgF
-0.0104

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.01e-06 K⁻¹ at 633 nm

References

Cite

CDGM Zemax catalog 2017-09 (obtained from http://www.cdgmgd.com); 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
D-LAF82L (CDGM), D-LAF82L: n and k versus wavelength
λ (µm)nk
0.3651.7727282.609950e-07
0.3659361.7723922.503623e-07
0.3668741.7720582.397024e-07
0.3678151.7717262.290152e-07
0.3687581.7713962.183005e-07
0.3697041.7710682.075584e-07
0.371.7709662.041900e-07
0.3706511.7707421.997522e-07
0.3716021.7704181.932782e-07
0.3725551.7700961.867876e-07
0.373511.7697761.802804e-07
0.3744681.7694571.737564e-07
0.3754281.7691411.672158e-07
0.376391.7688271.606583e-07
0.3773561.7685141.540841e-07
0.3783231.7682041.474930e-07
0.3792931.7678951.408850e-07
0.381.7676721.360700e-07
0.3802661.7675881.351366e-07
0.3812411.7672831.317113e-07
0.3822181.766981.282772e-07
0.3831981.7666791.248343e-07
0.3841811.766381.213826e-07
0.3851661.7660821.179221e-07
0.3861541.7657861.144526e-07
0.3871441.7654921.109743e-07
0.3881361.76521.074871e-07
0.3891321.764911.039909e-07
0.391.7646591.009400e-07
0.3901291.7646211.006346e-07
0.391131.7643359.827247e-08
0.3921331.764059.590424e-08
0.3931381.7637669.352995e-08
0.3941461.7634859.114956e-08
0.3951571.7632058.876308e-08
0.396171.7629278.637047e-08
0.3971861.762658.397173e-08
0.3982041.7623768.156683e-08
0.3992251.7621037.915577e-08
0.41.7618977.732600e-08
0.4002491.7618317.711930e-08
0.4012751.7615627.626662e-08
0.4023041.7612947.541176e-08
0.4033351.7610277.455470e-08
0.404371.7607627.369545e-08
0.4054071.7604997.283399e-08
0.4064461.7602387.197033e-08
0.4074881.7599787.110444e-08
0.4085331.759727.023634e-08
0.4095811.7594636.936602e-08
0.4106311.7592086.849346e-08
0.4116841.7589546.761866e-08
0.4127391.7587026.674162e-08
0.4137981.7584516.586234e-08
0.4148591.7582026.498079e-08
0.4159221.7579556.409699e-08
0.4169891.7577096.321092e-08
0.4180581.7574646.232258e-08
0.419131.7572216.143196e-08
0.421.7570266.070900e-08
0.4202051.756986.062933e-08
0.4212821.756746.020967e-08
0.4223621.7565015.978893e-08
0.4234451.7562645.936711e-08
0.4245311.7560285.894421e-08
0.4256191.7557945.852023e-08
0.4267111.7555615.809516e-08
0.4278051.755335.766900e-08
0.4289021.75515.724175e-08
0.4300021.7548715.681340e-08
0.4311041.7546445.638395e-08
0.4322091.7544185.595340e-08
0.4333181.7541935.552175e-08
0.4344291.753975.508899e-08
0.4355431.7537485.465512e-08
0.4366591.7535275.422014e-08
0.4377791.7533085.378404e-08
0.4389021.753095.334683e-08
0.441.7528795.291900e-08
0.4400271.7528745.290723e-08
0.4411551.7526585.241491e-08
0.4422861.7524445.192132e-08
0.443421.7522315.142648e-08
0.4445571.752025.093036e-08
0.4456971.751815.043297e-08
0.446841.7516014.993431e-08
0.4479861.7513934.943437e-08
0.4491351.7511864.893314e-08
0.4502861.7509814.843063e-08
0.4514411.7507774.792684e-08
0.4525981.7505744.742175e-08
0.4537591.7503724.691536e-08
0.4549221.7501714.640768e-08
0.4560891.7499724.589870e-08
0.4572581.7497744.538841e-08
0.4584311.7495774.487681e-08
0.4596061.7493814.436390e-08
0.461.7493164.419200e-08
0.4607851.7491864.381311e-08
0.4619661.7489924.324251e-08
0.4631511.74884.267045e-08
0.4643381.7486094.209692e-08
0.4655291.7484184.152192e-08
0.4667221.7482294.094544e-08
0.4679191.7480414.036749e-08
0.4691191.7478543.978805e-08
0.4703221.7476683.920713e-08
0.4715281.7474833.862472e-08
0.4727371.7472993.804081e-08
0.4739491.7471163.745541e-08
0.4751641.7469353.686851e-08
0.4763821.7467543.628010e-08
0.4776041.7465743.569018e-08
0.4788291.7463963.509875e-08
0.481.7462263.453300e-08
0.4800561.7462183.451447e-08
0.4812871.7460423.410932e-08
0.4825211.7458663.370312e-08
0.4837581.7456913.329589e-08
0.4849991.7455183.288761e-08
0.4862421.7453453.247829e-08
0.4874891.7451733.206792e-08
0.4887391.7450033.165649e-08
0.4899921.7448333.124401e-08
0.4912491.7446643.083047e-08
0.4925081.7444963.041587e-08
0.4937711.7443293.000021e-08
0.4950371.7441632.958348e-08
0.4963071.7439982.916569e-08
0.4975791.7438342.874682e-08
0.4988551.7436712.832688e-08
0.51.7435252.795000e-08
0.5001341.7435082.792209e-08
0.5014161.7433472.765514e-08
0.5027021.7431862.738752e-08
0.5039911.7430262.711921e-08
0.5052831.7428682.685021e-08
0.5065791.742712.658052e-08
0.5078781.7425532.631013e-08
0.509181.7423962.603906e-08
0.5104861.7422412.576729e-08
0.5117951.7420862.549482e-08
0.5131071.7419332.522166e-08
0.5144231.741782.494779e-08
0.5157421.7416282.467322e-08
0.5170641.7414772.439795e-08
0.518391.7413262.412197e-08
0.5197191.7411772.384529e-08
0.5210521.7410282.356789e-08
0.5223881.740882.328979e-08
0.5237271.7407332.301097e-08
0.525071.7405862.273143e-08
0.5264161.740442.245118e-08
0.5277661.7402962.217021e-08
0.5291191.7401512.188852e-08
0.5304761.7400082.160611e-08
0.5318361.7398662.132298e-08
0.53321.7397242.103911e-08
0.5345671.7395832.075452e-08
0.5359381.7394422.046920e-08
0.5373121.7393032.018315e-08
0.538691.7391641.989637e-08
0.5400711.7390261.960885e-08
0.5414561.7388881.932059e-08
0.5428441.7387511.903159e-08
0.5442361.7386151.874186e-08
0.5456311.738481.845137e-08
0.547031.7383451.816015e-08
0.5484331.7382121.786818e-08
0.5498391.7380781.757546e-08
0.551.7380631.754200e-08
0.5512491.7379461.758185e-08
0.5526631.7378141.762694e-08
0.554081.7376831.767214e-08
0.55551.7375521.771746e-08
0.5569251.7374221.776290e-08
0.5583531.7372931.780845e-08
0.5597841.7371651.785412e-08
0.561221.7370371.789991e-08
0.5626591.736911.794581e-08
0.5641011.7367831.799184e-08
0.5655481.7366571.803798e-08
0.5669981.7365321.808423e-08
0.5684521.7364071.813061e-08
0.5699091.7362831.817711e-08
0.5713711.736161.822372e-08
0.5728361.7360371.827046e-08
0.5743041.7359151.831731e-08
0.5757771.7357931.836429e-08
0.5772531.7356721.841138e-08
0.5787331.7355511.845860e-08
0.5802171.7354321.850594e-08
0.5817051.7353121.855339e-08
0.5831971.7351941.860097e-08
0.5846921.7350761.864868e-08
0.5861911.7349581.869650e-08
0.5876941.7348411.874445e-08
0.5892011.7347251.879252e-08
0.5907121.7346091.884071e-08
0.5922271.7344941.888903e-08
0.5937451.7343791.893747e-08
0.5952681.7342651.898603e-08
0.5967941.7341521.903472e-08
0.5983241.7340391.908354e-08
0.5998581.7339261.913248e-08
0.61.7339161.913700e-08
0.6013961.7338151.918154e-08
0.6029381.7337031.923073e-08
0.6044841.7335921.928005e-08
0.6060341.7334821.932949e-08
0.6075881.7333721.937906e-08
0.6091461.7332631.942876e-08
0.6107081.7331541.947859e-08
0.6122741.7330461.952854e-08
0.6138441.7329381.957862e-08
0.6154181.7328311.962883e-08
0.6169961.7327241.967917e-08
0.6185781.7326181.972963e-08
0.6201641.7325121.978023e-08
0.6217541.7324071.983095e-08
0.6233481.7323021.988181e-08
0.6249471.7321981.993280e-08
0.6265491.7320941.998391e-08
0.6281561.7319912.003516e-08
0.6297661.7318882.008654e-08
0.6313811.7317862.013805e-08
0.6331.7316842.018970e-08
0.6346231.7315832.024147e-08
0.636251.7314822.029338e-08
0.6378821.7313812.034542e-08
0.6395171.7312812.039760e-08
0.6411571.7311822.044991e-08
0.6428011.7310832.050235e-08
0.6444491.7309842.055493e-08
0.6461021.7308862.060764e-08
0.6477581.7307882.066049e-08
0.6494191.7306912.071347e-08
0.651.7306572.073200e-08
0.6510841.7305942.064535e-08
0.6527541.7304972.051192e-08
0.6544271.7304012.037816e-08
0.6561051.7303062.024405e-08
0.6577881.7302112.010960e-08
0.6594741.7301161.997481e-08
0.6611651.7300211.983967e-08
0.6628611.7299281.970418e-08
0.664561.7298341.956835e-08
0.6662641.7297411.943216e-08
0.6679731.7296481.929563e-08
0.6696851.7295561.915875e-08
0.6714021.7294641.902152e-08
0.6731241.7293731.888393e-08
0.674851.7292811.874599e-08
0.676581.7291911.860770e-08
0.6783151.72911.846906e-08
0.6800541.7290111.833005e-08
0.6817981.7289211.819070e-08
0.6835461.7288321.805098e-08
0.6852991.7287431.791091e-08
0.6870561.7286551.777048e-08
0.6888181.7285671.762968e-08
0.6905841.7284791.748853e-08
0.6923551.7283921.734701e-08
0.694131.7283051.720514e-08
0.695911.7282181.706289e-08
0.6976941.7281321.692029e-08
0.6994831.7280461.677731e-08
0.71.7280221.673600e-08
0.7012771.7279611.676652e-08
0.7030751.7278761.680952e-08
0.7048771.7277911.685262e-08
0.7066851.7277061.689583e-08
0.7084971.7276221.693916e-08
0.7103131.7275391.698260e-08
0.7121351.7274551.702614e-08
0.7139611.7273721.706980e-08
0.7157911.727291.711357e-08
0.7176271.7272071.715746e-08
0.7194671.7271251.720145e-08
0.7213121.7270431.724556e-08
0.7231611.7269621.728978e-08
0.7250151.7268811.733412e-08
0.7268741.72681.737857e-08
0.7287381.726721.742313e-08
0.7306071.726641.746781e-08
0.732481.726561.751260e-08
0.7343581.7264811.755750e-08
0.7362411.7264021.760253e-08
0.7381291.7263231.764766e-08
0.7400221.7262441.769291e-08
0.7419191.7261661.773828e-08
0.7438211.7260881.778377e-08
0.7457291.726011.782937e-08
0.7476411.7259331.787509e-08
0.7495581.7258561.792092e-08
0.751481.7257791.796688e-08
0.7534061.7257031.801295e-08
0.7553381.7256271.805914e-08
0.7572751.7255511.810545e-08
0.7592171.7254761.815187e-08
0.7611631.72541.819842e-08
0.7631151.7253251.824508e-08
0.7650721.7252511.829187e-08
0.7670341.7251761.833877e-08
0.7691.7251021.838580e-08
0.7709721.7250281.843294e-08
0.7729491.7249551.848021e-08
0.7749311.7248811.852760e-08
0.7769181.7248081.857510e-08
0.778911.7247351.862274e-08
0.7809071.7246631.867049e-08
0.7829091.7245911.871836e-08
0.7849171.7245191.876636e-08
0.7869291.7244471.881448e-08
0.7889471.7243751.886273e-08
0.790971.7243041.891110e-08
0.7929981.7242331.895959e-08
0.7950321.7241621.900820e-08
0.797071.7240921.905695e-08
0.7991141.7240221.910581e-08
0.81.7239911.912700e-08
0.8011631.7239521.899711e-08
0.8032171.7238821.876765e-08
0.8052771.7238131.853760e-08
0.8073411.7237431.830697e-08
0.8094111.7236741.807574e-08
0.8114871.7236061.784391e-08
0.8135681.7235371.761150e-08
0.8156541.7234691.737849e-08
0.8177451.7234011.714488e-08
0.8198421.7233331.691067e-08
0.8219441.7232651.667586e-08
0.8240521.7231981.644045e-08
0.8261641.7231311.620443e-08
0.8282831.7230641.596781e-08
0.8304071.7229971.573058e-08
0.8325361.722931.549275e-08
0.8346711.7228641.525430e-08
0.8368111.7227981.501525e-08
0.8389561.7227321.477558e-08
0.8411081.7226671.453529e-08
0.8432641.7226011.429439e-08
0.8454261.7225361.405287e-08
0.8475941.7224711.381074e-08
0.8497671.7224061.356798e-08
0.851.7223991.354200e-08
0.8519461.7223421.357299e-08
0.8541311.7222771.360776e-08
0.8563211.7222131.364263e-08
0.8585171.7221491.367758e-08
0.8607181.7220851.371263e-08
0.8629251.7220211.374776e-08
0.8651371.7219581.378299e-08
0.8673561.7218951.381830e-08
0.869581.7218321.385371e-08
0.8718091.7217691.388920e-08
0.8740451.7217061.392479e-08
0.8762861.7216441.396047e-08
0.8785331.7215811.399624e-08
0.8807851.7215191.403210e-08
0.8830441.7214571.406806e-08
0.8853081.7213961.410410e-08
0.8875781.7213341.414024e-08
0.8898541.7212731.417647e-08
0.8921351.7212111.421280e-08
0.8944231.721151.424921e-08
0.8967161.721091.428572e-08
0.8990161.7210291.432233e-08
0.91.7210031.433800e-08
0.9013211.7209681.435905e-08
0.9036321.7209081.439589e-08
0.9059491.7208481.443282e-08
0.9082721.7207881.446985e-08
0.9106011.7207281.450697e-08
0.9129351.7206681.454419e-08
0.9152761.7206081.458150e-08
0.9176231.7205491.461891e-08
0.9199761.720491.465642e-08
0.9223351.7204311.469402e-08
0.92471.7203721.473172e-08
0.9270711.7203131.476951e-08
0.9294481.7202541.480740e-08
0.9318311.7201961.484539e-08
0.934221.7201371.488347e-08
0.9366161.7200791.492166e-08
0.9390171.7200211.495994e-08
0.9414251.7199631.499832e-08
0.9438391.7199051.503679e-08
0.9462591.7198481.507537e-08
0.9486851.719791.511405e-08
0.951.7197591.513500e-08
0.9511181.7197331.515280e-08
0.9535571.7196761.519162e-08
0.9560021.7196191.523055e-08
0.9584531.7195621.526957e-08
0.9609111.7195051.530870e-08
0.9633741.7194481.534792e-08
0.9658451.7193921.538725e-08
0.9683211.7193351.542667e-08
0.9708041.7192791.546620e-08
0.9732931.7192231.550583e-08
0.9757891.7191661.554556e-08
0.9782911.7191111.558539e-08
0.9807991.7190551.562532e-08
0.9833141.7189991.566536e-08
0.9858351.7189431.570550e-08
0.9883631.7188881.574574e-08
0.9908971.7188321.578609e-08
0.9934381.7187771.582653e-08
0.9959851.7187221.586709e-08
0.9985391.7186671.590774e-08
11.7186361.593100e-08
1.00111.7186121.594852e-08
1.003671.7185571.598942e-08
1.006241.7185031.603042e-08
1.008821.7184481.607153e-08
1.011411.7183931.611275e-08
1.0141.7183391.615407e-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
—