Optical constants

Refractive index of H-LAK67 (CDGM)

H-LAK67: n,k 0.365–0.7065 µm

Data
formula 3 + tabulated k
Range
0.365–0.7065 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–0.7065 µm
Refractive index n
1.67
Extinction coefficient k
1.87414e-08
Permittivity ε1
2.7889
Permittivity ε2
6.25964e-08
Absorption coefficient α
0.00400803 cm⁻¹
Penetration depth δ = λ/(2πk)
4.98998e+09 nm
Abbe number Vd
51.759
Chromatic dispersion dn/dλ
-0.0664858 µm⁻¹
Group index ng
1.70907
Group velocity dispersion
119.84 fs²/mm
Dispersion parameter D
-653.792 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-LAK67 (CDGM): H-LAK67
cdgm_h_lak67 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-LAK67", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_lak67.range_nm)  # (365, 706.5) nm
eps = cdgm_h_lak67.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=2.7410828−0.016285022⁢λ2.0+0.015866919⁢λ−2.0+0.0010819231⁢λ−4.0−7.7131038×10-5⁢λ−6.0+4.033333×10-6⁢λ−8.0

Valid from 0.365 to 0.7065 µm.

Coefficients as stored
CiValue
C12.7410828
C2-0.016285022
C32.0
C40.015866919
C5-2.0
C60.0010819231
C7-4.0
C8-7.7131038e-05
C9-6.0
C104.033333e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.670003
Vd
51.758578
glass code
670517
density
value: 3730
thermal expansion
value: 7e-06, temperature range: 243 343; value: 8.4e-06, temperature range: 293 573
dPgF
-0.004

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 413 wavelengths, the same grid as the API and the library
H-LAK67 (CDGM), H-LAK67: n and k versus wavelength
λ (µm)nk
0.3651.702691.426100e-07
0.3656051.7024991.387886e-07
0.366211.702311.349609e-07
0.3668171.7021211.311268e-07
0.3674251.7019331.272864e-07
0.3680331.7017451.234397e-07
0.3686431.7015591.195865e-07
0.3692541.7013731.157270e-07
0.3698651.7011881.118611e-07
0.371.7011481.110100e-07
0.3704781.7010041.096600e-07
0.3710921.7008211.079267e-07
0.3717071.7006391.061907e-07
0.3723221.7004571.044517e-07
0.3729391.7002761.027098e-07
0.3735571.7000961.009651e-07
0.3741761.6999179.921749e-08
0.3747961.6997399.746697e-08
0.3754161.6995619.571356e-08
0.3760381.6993849.395724e-08
0.3766611.6992089.219801e-08
0.3772851.6990339.043586e-08
0.377911.6988588.867080e-08
0.3785361.6986848.690281e-08
0.3791631.6985118.513189e-08
0.3797911.6983398.335804e-08
0.381.6982828.276900e-08
0.3804211.6981678.205818e-08
0.3810511.6979968.099309e-08
0.3816821.6978267.992624e-08
0.3823141.6976567.885761e-08
0.3829481.6974877.778722e-08
0.3835821.6973197.671505e-08
0.3842171.6971527.564111e-08
0.3848541.6969857.456539e-08
0.3854911.6968197.348788e-08
0.386131.6966547.240859e-08
0.386771.696497.132752e-08
0.387411.6963267.024465e-08
0.3880521.6961636.915999e-08
0.3886951.6966.807353e-08
0.3893391.6958386.698527e-08
0.3899841.6956776.589521e-08
0.391.6956736.586800e-08
0.390631.6955176.515680e-08
0.3912771.6953576.442622e-08
0.3919251.6951986.369442e-08
0.3925741.6950396.296142e-08
0.3932251.6948826.222719e-08
0.3938761.6947246.149176e-08
0.3945291.6945686.075510e-08
0.3951821.6944126.001723e-08
0.3958371.6942575.927813e-08
0.3964931.6941025.853781e-08
0.3971491.6939485.779626e-08
0.3978071.6937955.705348e-08
0.3984661.6936425.630947e-08
0.3991261.693495.556423e-08
0.3997881.6933395.481776e-08
0.41.693295.457800e-08
0.400451.6931885.433406e-08
0.4011131.6930385.397437e-08
0.4017781.6928885.361410e-08
0.4024431.6927395.325322e-08
0.403111.6925915.289175e-08
0.4037781.6924435.252968e-08
0.4044471.6922965.216701e-08
0.4051171.6921495.180374e-08
0.4057881.6920035.143986e-08
0.406461.6918575.107539e-08
0.4071331.6917135.071031e-08
0.4078081.6915685.034462e-08
0.4084831.6914254.997833e-08
0.409161.6912824.961144e-08
0.4098381.6911394.924393e-08
0.4105171.6909974.887582e-08
0.4111971.6908564.850709e-08
0.4118781.6907154.813776e-08
0.412561.6905754.776781e-08
0.4132441.6904354.739725e-08
0.4139281.6902964.702608e-08
0.4146141.6901574.665429e-08
0.4153011.6900194.628189e-08
0.4159891.6898824.590887e-08
0.4166781.6897454.553523e-08
0.4173681.6896084.516097e-08
0.418061.6894724.478609e-08
0.4187521.6893374.441059e-08
0.4194461.6892024.403447e-08
0.421.6890954.373400e-08
0.4201411.6890684.372371e-08
0.4208371.6889344.367280e-08
0.4215341.6888014.362180e-08
0.4222321.6886684.357072e-08
0.4229321.6885364.351956e-08
0.4236321.6884044.346831e-08
0.4243341.6882734.341697e-08
0.4250371.6881434.336555e-08
0.4257411.6880124.331405e-08
0.4264461.6878834.326245e-08
0.4271531.6877544.321078e-08
0.427861.6876254.315902e-08
0.4285691.6874974.310717e-08
0.4292791.6873694.305524e-08
0.429991.6872424.300322e-08
0.4307031.6871164.295111e-08
0.4314161.686994.289892e-08
0.4321311.6868644.284664e-08
0.4328471.6867394.279428e-08
0.4335641.6866144.274182e-08
0.4342821.686494.268929e-08
0.4350011.6863664.263666e-08
0.4357221.6862434.258395e-08
0.4364441.686124.253115e-08
0.4371671.6859984.247826e-08
0.4378911.6858764.242529e-08
0.4386161.6857554.237222e-08
0.4393431.6856344.231907e-08
0.441.6855254.227100e-08
0.4400711.6855134.225164e-08
0.44081.6853934.205186e-08
0.441531.6852744.185174e-08
0.4422611.6851554.165129e-08
0.4429941.6850364.145051e-08
0.4437281.6849184.124940e-08
0.4444631.68484.104796e-08
0.4451991.6846834.084618e-08
0.4459371.6845664.064406e-08
0.4466751.684454.044162e-08
0.4474151.6843344.023883e-08
0.4481561.6842194.003571e-08
0.4488991.6841043.983226e-08
0.4496431.6839893.962847e-08
0.4503871.6838753.942433e-08
0.4511331.6837613.921987e-08
0.4518811.6836483.901506e-08
0.4526291.6835353.880991e-08
0.4533791.6834233.860443e-08
0.454131.6833113.839860e-08
0.4548831.6831993.819243e-08
0.4556361.6830883.798592e-08
0.4563911.6829773.777907e-08
0.4571471.6828673.757188e-08
0.4579041.6827573.736434e-08
0.4586631.6826473.715646e-08
0.4594231.6825383.694823e-08
0.461.6824563.679000e-08
0.4601841.6824293.673389e-08
0.4609461.6823213.650104e-08
0.461711.6822133.626780e-08
0.4624741.6821063.603418e-08
0.4632411.6819993.580016e-08
0.4640081.6818923.556576e-08
0.4647771.6817863.533098e-08
0.4655471.681683.509580e-08
0.4663181.6815743.486023e-08
0.467091.6814693.462428e-08
0.4678641.6813643.438793e-08
0.4686391.681263.415119e-08
0.4694151.6811563.391406e-08
0.4701931.6810533.367653e-08
0.4709721.6809493.343861e-08
0.4717521.6808473.320030e-08
0.4725341.6807443.296160e-08
0.4733161.6806423.272249e-08
0.4741011.6805413.248300e-08
0.4748861.6804393.224310e-08
0.4756731.6803383.200281e-08
0.4764611.6802383.176212e-08
0.477251.6801383.152103e-08
0.478041.6800383.127954e-08
0.4788321.6799383.103765e-08
0.4796261.6798393.079536e-08
0.481.6797933.068100e-08
0.480421.6797413.062363e-08
0.4812161.6796423.051496e-08
0.4820131.6795443.040610e-08
0.4828121.6794473.029707e-08
0.4836111.6793493.018786e-08
0.4844131.6792523.007846e-08
0.4852151.6791562.996888e-08
0.4860191.679062.985913e-08
0.4868241.6789642.974919e-08
0.487631.6788682.963906e-08
0.4884381.6787732.952876e-08
0.4892471.6786782.941827e-08
0.4900581.6785842.930760e-08
0.490871.678492.919675e-08
0.4916831.6783962.908571e-08
0.4924971.6783022.897449e-08
0.4933131.6782092.886308e-08
0.494131.6781172.875149e-08
0.4949491.6780242.863972e-08
0.4957691.6779322.852776e-08
0.496591.677842.841561e-08
0.4974131.6777492.830328e-08
0.4982371.6776582.819077e-08
0.4990621.6775672.807806e-08
0.4998891.6774762.796517e-08
0.51.6774642.795000e-08
0.5007171.6773862.780075e-08
0.5015461.6772962.762809e-08
0.5023771.6772072.745514e-08
0.503211.6771182.728190e-08
0.5040431.6770292.710838e-08
0.5048781.676942.693457e-08
0.5057141.6768522.676047e-08
0.5065521.6767642.658608e-08
0.5073911.6766762.641141e-08
0.5082321.6765892.623644e-08
0.5090741.6765022.606119e-08
0.5099171.6764162.588564e-08
0.5107621.6763292.570981e-08
0.5116081.6762432.553368e-08
0.5124561.6761572.535726e-08
0.5133041.6760722.518055e-08
0.5141551.6759872.500355e-08
0.5150061.6759022.482625e-08
0.515861.6758172.464866e-08
0.5167141.6757332.447077e-08
0.517571.6756492.429259e-08
0.5184281.6755652.411412e-08
0.5192861.6754822.393535e-08
0.5201471.6753992.375628e-08
0.5210081.6753162.357692e-08
0.5218711.6752342.339726e-08
0.5227361.6751522.321730e-08
0.5236021.675072.303704e-08
0.5244691.6749882.285649e-08
0.5253381.6749072.267563e-08
0.5262081.6748262.249448e-08
0.527081.6747452.231303e-08
0.5279531.6746642.213127e-08
0.5288281.6745842.194922e-08
0.5297041.6745042.176686e-08
0.5305811.6744242.158420e-08
0.531461.6743452.140124e-08
0.5323411.6742662.121798e-08
0.5332221.6741872.103441e-08
0.5341061.6741092.085054e-08
0.5349911.674032.066636e-08
0.5358771.6739522.048188e-08
0.5367651.6738752.029709e-08
0.5376541.6737972.011200e-08
0.5385441.673721.992659e-08
0.5394371.6736431.974089e-08
0.540331.6735661.955487e-08
0.5412251.673491.936855e-08
0.5421221.6734141.918192e-08
0.543021.6733381.899498e-08
0.5439191.6732621.880772e-08
0.5448211.6731871.862016e-08
0.5457231.6731111.843229e-08
0.5466271.6730371.824411e-08
0.5475331.6729621.805561e-08
0.548441.6728881.786681e-08
0.5493481.6728141.767769e-08
0.551.6727611.754200e-08
0.5502581.672741.755024e-08
0.551171.6726661.757931e-08
0.5520831.6725931.760844e-08
0.5529971.672521.763762e-08
0.5539131.6724471.766684e-08
0.5548311.6723741.769611e-08
0.555751.6723021.772543e-08
0.5566711.672231.775480e-08
0.5575931.6721581.778422e-08
0.5585171.6720861.781368e-08
0.5594421.6720151.784320e-08
0.5603691.6719431.787276e-08
0.5612971.6718721.790237e-08
0.5622271.6718021.793203e-08
0.5631581.6717311.796174e-08
0.5640911.6716611.799150e-08
0.5650251.6715911.802131e-08
0.5659611.6715211.805117e-08
0.5668991.6714521.808108e-08
0.5678381.6713821.811104e-08
0.5687791.6713131.814104e-08
0.5697211.6712451.817110e-08
0.5706651.6711761.820121e-08
0.571611.6711081.823136e-08
0.5725571.6710391.826157e-08
0.5735061.6709711.829183e-08
0.5744561.6709041.832213e-08
0.5754071.6708361.835249e-08
0.576361.6707691.838290e-08
0.5773151.6707021.841336e-08
0.5782721.6706351.844386e-08
0.579231.6705681.847442e-08
0.5801891.6705021.850503e-08
0.581151.6704361.853569e-08
0.5821131.670371.856640e-08
0.5830771.6703041.859716e-08
0.5840431.6702391.862798e-08
0.5850111.6701731.865884e-08
0.585981.6701081.868976e-08
0.5869511.6700431.872072e-08
0.5879231.6699791.875174e-08
0.5888971.6699141.878281e-08
0.5898721.669851.881393e-08
0.5908491.6697861.884510e-08
0.5918281.6697221.887632e-08
0.5928091.6696581.890760e-08
0.5937911.6695951.893892e-08
0.5947741.6695311.897030e-08
0.595761.6694681.900173e-08
0.5967471.6694061.903322e-08
0.5977351.6693431.906475e-08
0.5987251.669281.909634e-08
0.5997171.6692181.912798e-08
0.61.66921.913700e-08
0.6007111.6691561.915967e-08
0.6017061.6690941.919141e-08
0.6027031.6690331.922321e-08
0.6037011.6689711.925506e-08
0.6047011.668911.928696e-08
0.6057031.6688491.931892e-08
0.6067061.6687881.935093e-08
0.6077111.6687271.938299e-08
0.6087181.6686671.941510e-08
0.6097261.6686061.944727e-08
0.6107361.6685461.947949e-08
0.6117481.6684861.951176e-08
0.6127611.6684261.954409e-08
0.6137771.6683671.957647e-08
0.6147931.6683071.960891e-08
0.6158121.6682481.964140e-08
0.6168321.6681891.967394e-08
0.6178541.668131.970653e-08
0.6188771.6680711.973919e-08
0.6199021.6680131.977189e-08
0.6209291.6679551.980465e-08
0.6219581.6678961.983746e-08
0.6229881.6678391.987033e-08
0.624021.6677811.990325e-08
0.6250541.6677231.993623e-08
0.626091.6676661.996926e-08
0.6271271.6676082.000234e-08
0.6281661.6675512.003548e-08
0.6292061.6674942.006868e-08
0.6302491.6674382.010193e-08
0.6312931.6673812.013523e-08
0.6323381.6673252.016859e-08
0.6333861.6672682.020201e-08
0.6344351.6672122.023548e-08
0.6354861.6671562.026901e-08
0.6365391.6671012.030259e-08
0.6375931.6670452.033623e-08
0.638651.666992.036992e-08
0.6397081.6669342.040367e-08
0.6407671.6668792.043747e-08
0.6418291.6668242.047134e-08
0.6428921.666772.050525e-08
0.6439571.6667152.053923e-08
0.6450241.6666612.057326e-08
0.6460921.6666062.060734e-08
0.6471631.6665522.064148e-08
0.6482351.6664982.067568e-08
0.6493081.6664442.070994e-08
0.651.666412.073200e-08
0.6503841.6663912.070130e-08
0.6514611.6663372.061520e-08
0.6525411.6662842.052895e-08
0.6536221.6662312.044256e-08
0.6547041.6661782.035602e-08
0.6557891.6661252.026934e-08
0.6568751.6660722.018252e-08
0.6579641.666022.009556e-08
0.6590531.6659672.000845e-08
0.6601451.6659151.992119e-08
0.6612391.6658631.983379e-08
0.6623341.6658111.974625e-08
0.6634311.6657591.965856e-08
0.664531.6657071.957073e-08
0.6656311.6656561.948275e-08
0.6667341.6656041.939462e-08
0.6678381.6655531.930635e-08
0.6689451.6655021.921793e-08
0.6700531.6654511.912937e-08
0.6711631.66541.904066e-08
0.6722751.6653491.895180e-08
0.6733881.6652991.886280e-08
0.6745041.6652481.877364e-08
0.6756211.6651981.868434e-08
0.6767411.6651481.859490e-08
0.6778621.6650981.850530e-08
0.6789851.6650481.841556e-08
0.6801091.6649981.832566e-08
0.6812361.6649491.823562e-08
0.6823641.6648991.814543e-08
0.6834951.664851.805509e-08
0.6846271.6648011.796460e-08
0.6857611.6647521.787396e-08
0.6868971.6647031.778317e-08
0.6880351.6646541.769223e-08
0.6891751.6646051.760114e-08
0.6903171.6645571.750990e-08
0.691461.6645081.741850e-08
0.6926061.664461.732696e-08
0.6937531.6644121.723526e-08
0.6949021.6643641.714341e-08
0.6960531.6643161.705141e-08
0.6972061.6642681.695926e-08
0.6983611.664221.686695e-08
0.6995181.6641731.677450e-08
0.71.6641531.673600e-08
0.7006771.6641251.675219e-08
0.7018381.6640781.677994e-08
0.7031.6640311.680774e-08
0.7041651.6639841.683559e-08
0.7053321.6639371.686348e-08
0.70651.663891.689141e-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
—