Optical constants

Refractive index of H-LAK50A (CDGM)

H-LAK50A: n,k 0.302–2.325 µm

Data
formula 2 + tabulated k
Range
0.302–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.302–2.325 µm
Refractive index n
1.6516
Extinction coefficient k
2.45299e-08
Permittivity ε1
2.72778
Permittivity ε2
8.10272e-08
Absorption coefficient α
0.00524595 cm⁻¹
Penetration depth δ = λ/(2πk)
3.81246e+09 nm
Abbe number Vd
58.403
Chromatic dispersion dn/dλ
-0.0577054 µm⁻¹
Group index ng
1.68551
Group velocity dispersion
99.639 fs²/mm
Dispersion parameter D
-543.584 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-LAK50A (CDGM): H-LAK50A
cdgm_h_lak50a = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-LAK50A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_lak50a.range_nm)  # (302, 2325) nm
eps = cdgm_h_lak50a.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=0.759437631λ2λ2−0.0022319671+1.16056755λ2λ2−91.0466256+0.92336083λ2λ2−0.0158590987

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.759437631
C30.0022319671
C41.16056755
C591.0466256
C60.92336083
C70.0158590987

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 5.6e-07 1.06e-08 -4.91e-11 3.57e-07 6.22e-10 0.245
nd
1.651600
Vd
58.403057
glass code
652584
density
value: 3500
thermal expansion
value: 6.3e-06, temperature range: 243 343; value: 8.2e-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 = 8.38e-07 K⁻¹ at 633 nm, dn/dT = 3.96e-07 K⁻¹ at 1310 nm, dn/dT = 3.62e-07 K⁻¹ at 1550 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 431 wavelengths, the same grid as the API and the library
H-LAK50A (CDGM), H-LAK50A: n and k versus wavelength
λ (µm)nk
0.3021.7014825.068000e-06
0.3035491.7007184.772409e-06
0.3051061.6999644.475303e-06
0.306671.699224.176672e-06
0.3082431.6984863.876510e-06
0.3098241.6977623.574809e-06
0.311.6976833.541200e-06
0.3114131.6970483.362547e-06
0.313011.6963433.160596e-06
0.3146151.6956482.957608e-06
0.3162291.6949622.753580e-06
0.317851.6942852.548506e-06
0.3194811.6936172.342379e-06
0.321.6934062.276700e-06
0.3211191.6929572.179980e-06
0.3227661.6923062.037642e-06
0.3244211.6916641.894574e-06
0.3260851.691031.750771e-06
0.3277571.6904041.606232e-06
0.3294381.6897861.460951e-06
0.331.6895831.412400e-06
0.3311281.6891771.350818e-06
0.3328261.6885751.258090e-06
0.3345331.6879811.164886e-06
0.3362491.6873941.071204e-06
0.3379731.6868159.770421e-07
0.3397061.6862438.823970e-07
0.341.6861478.663600e-07
0.3414481.6856788.145851e-07
0.34321.6851217.519929e-07
0.344961.684576.890797e-07
0.3467291.6840276.258439e-07
0.3485071.683495.622838e-07
0.351.6830475.089200e-07
0.3502941.682965.029176e-07
0.3520911.6824374.662872e-07
0.3538971.681924.294689e-07
0.3557121.6814093.924618e-07
0.3575361.6809053.552648e-07
0.3593691.6804073.178772e-07
0.361.6802383.050200e-07
0.3612121.6799152.908875e-07
0.3630651.6794292.692949e-07
0.3649271.6789492.475916e-07
0.3667981.6784752.257770e-07
0.368681.6780072.038506e-07
0.371.6776831.884600e-07
0.370571.6775441.849316e-07
0.3724711.6770871.731753e-07
0.3743811.6766351.613586e-07
0.3763011.6761891.494814e-07
0.3782311.6757481.375433e-07
0.381.6753511.266000e-07
0.3801711.6753131.259433e-07
0.382121.6748821.184444e-07
0.384081.6744571.109069e-07
0.386051.6740371.033308e-07
0.388031.6736229.571589e-08
0.391.6732168.813800e-08
0.390021.6732128.809727e-08
0.392021.6728068.398061e-08
0.394031.6724057.984284e-08
0.3960511.6720097.568385e-08
0.3980821.6716187.150353e-08
0.41.6712556.755700e-08
0.4001241.6712316.749344e-08
0.4021761.6708496.644177e-08
0.4042391.6704716.538471e-08
0.4063121.6700986.432222e-08
0.4083961.6697296.325429e-08
0.410491.6693646.218087e-08
0.4125951.6690036.110196e-08
0.4147111.6686466.001751e-08
0.4168381.6682945.892749e-08
0.4189761.6679465.783189e-08
0.421.6677815.730700e-08
0.4211251.6676015.686050e-08
0.4232841.6672615.600297e-08
0.4254551.6669245.514105e-08
0.4276371.6665915.427470e-08
0.429831.6662625.340392e-08
0.4320351.6659365.252866e-08
0.434251.6656155.164892e-08
0.4364771.6652965.076467e-08
0.4387161.6649824.987588e-08
0.441.6648034.936600e-08
0.4409661.6646714.893733e-08
0.4432271.6643634.793357e-08
0.44551.6640594.692465e-08
0.4477851.6637584.591056e-08
0.4500821.663464.489127e-08
0.452391.6631664.386676e-08
0.454711.6628754.283699e-08
0.4570421.6625874.180193e-08
0.4593861.6623024.076157e-08
0.461.6622284.048900e-08
0.4617421.662023.963479e-08
0.464111.6617423.847350e-08
0.466491.6614663.730625e-08
0.4688831.6611943.613302e-08
0.4712871.6609243.495377e-08
0.4737041.6606573.376847e-08
0.4761341.6603933.257709e-08
0.4785751.6601323.137961e-08
0.481.6599823.068100e-08
0.481031.6598743.033416e-08
0.4834971.6596182.950328e-08
0.4859761.6593652.866815e-08
0.4884691.6591152.782873e-08
0.4909741.6588672.698500e-08
0.4934921.6586232.613695e-08
0.4960231.658382.528455e-08
0.4985671.658142.442778e-08
0.51.6580072.394500e-08
0.5011231.6579032.399881e-08
0.5036931.6576682.412192e-08
0.5062771.6574362.424565e-08
0.5088731.6572052.437002e-08
0.5114831.6569782.449503e-08
0.5141061.6567522.462068e-08
0.5167431.6565292.474697e-08
0.5193931.6563092.487391e-08
0.5220561.656092.500151e-08
0.5247341.6558742.512975e-08
0.5274251.655662.525866e-08
0.530131.6554482.538822e-08
0.5328491.6552382.551845e-08
0.5355811.655032.564935e-08
0.5383281.6548242.578092e-08
0.5410891.6546212.591316e-08
0.5438641.6544192.604608e-08
0.5466531.6542192.617969e-08
0.5494571.6540222.631397e-08
0.551.6539842.634000e-08
0.5522751.6538262.623050e-08
0.5551071.6536322.609415e-08
0.5579541.653442.595710e-08
0.5608151.653252.581935e-08
0.5636911.6530622.568090e-08
0.5665821.6528752.554173e-08
0.5694881.6526912.540185e-08
0.5724091.6525082.526125e-08
0.5753441.6523272.511993e-08
0.5782951.6521472.497788e-08
0.5812611.6519692.483511e-08
0.5842421.6517932.469160e-08
0.5872381.6516192.454736e-08
0.590251.6514462.440238e-08
0.5932771.6512752.425666e-08
0.5963191.6511052.411018e-08
0.5993781.6509372.396296e-08
0.61.6509032.393300e-08
0.6024521.650772.377605e-08
0.6055411.6506052.357825e-08
0.6086471.6504422.337943e-08
0.6117681.650282.317960e-08
0.6149061.6501192.297874e-08
0.6180591.649962.277685e-08
0.6212291.6498022.257392e-08
0.6244151.6496452.236995e-08
0.6276171.649492.216494e-08
0.6308361.6493372.195888e-08
0.6340711.6491842.175176e-08
0.6373231.6490332.154357e-08
0.6405921.6488842.133432e-08
0.6438771.6487352.112400e-08
0.6471791.6485882.091260e-08
0.651.6484642.073200e-08
0.6504981.6484422.074788e-08
0.6538341.6482972.085423e-08
0.6571871.6481542.096113e-08
0.6605581.6480112.106858e-08
0.6639451.647872.117658e-08
0.6673511.647732.128514e-08
0.6707731.6475912.139425e-08
0.6742131.6474532.150391e-08
0.6776711.6473162.161415e-08
0.6811461.6471812.172494e-08
0.684641.6470462.183631e-08
0.6881511.6469132.194825e-08
0.691681.646782.206076e-08
0.6952271.6466492.217384e-08
0.6987931.6465182.228751e-08
0.71.6464752.232600e-08
0.7023761.6463892.240181e-08
0.7059791.646262.251672e-08
0.7095991.6461332.263222e-08
0.7132381.6460062.274831e-08
0.7168961.6458812.286499e-08
0.7205731.6457562.298228e-08
0.7242681.6456322.310016e-08
0.7279831.6455092.321865e-08
0.7317161.6453872.333775e-08
0.7354691.6452662.345746e-08
0.7392411.6451452.357778e-08
0.7430321.6450252.369872e-08
0.7468431.6449072.382028e-08
0.7506731.6447892.394246e-08
0.7545231.6446712.406527e-08
0.7583921.6445552.418871e-08
0.7622821.6444392.431278e-08
0.7661911.6443242.443749e-08
0.770121.644212.456284e-08
0.774071.6440972.468883e-08
0.778041.6439842.481547e-08
0.782031.6438722.494276e-08
0.7860411.643762.507070e-08
0.7900721.6436492.519929e-08
0.7941241.6435392.532855e-08
0.7981961.643432.545847e-08
0.81.6433812.551600e-08
0.802291.6433212.527816e-08
0.8064051.6432122.485082e-08
0.810541.6431052.442129e-08
0.8146971.6429982.398956e-08
0.8188751.6428912.355561e-08
0.8230751.6427852.311944e-08
0.8272961.642682.268103e-08
0.8315391.6425752.224037e-08
0.8358031.642472.179745e-08
0.840091.6423662.135227e-08
0.8443981.6422632.090479e-08
0.8487291.642162.045503e-08
0.851.642132.032300e-08
0.8530821.6420581.995414e-08
0.8574571.6419561.943045e-08
0.8618541.6418541.890407e-08
0.8662741.6417531.837499e-08
0.8707171.6416531.784320e-08
0.8751821.6415521.730869e-08
0.8796711.6414531.677143e-08
0.8841821.6413531.623141e-08
0.8887171.6412541.568863e-08
0.8932741.6411561.514306e-08
0.8978561.6410571.459469e-08
0.91.6410121.433800e-08
0.902461.6409591.437722e-08
0.9070881.6408621.445099e-08
0.9117411.6407641.452514e-08
0.9164161.6406671.459968e-08
0.9211161.6405711.467459e-08
0.925841.6404741.474989e-08
0.9305881.6403781.482558e-08
0.9353611.6402831.490165e-08
0.9401581.6401871.497812e-08
0.944981.6400921.505497e-08
0.9498261.6399971.513222e-08
0.951.6399931.513500e-08
0.9546971.6399021.520978e-08
0.9595931.6398071.528772e-08
0.9645151.6397131.536607e-08
0.9694611.6396191.544482e-08
0.9744331.6395251.552397e-08
0.979431.6394311.560353e-08
0.9844531.6393371.568350e-08
0.9895021.6392441.576387e-08
0.9945771.639151.584466e-08
0.9996781.6390571.592587e-08
11.6390511.593100e-08
1.00481.6389641.600755e-08
1.009961.6388711.608966e-08
1.015141.6387781.617219e-08
1.020341.6386851.625514e-08
1.025581.6385921.633851e-08
1.030841.63851.642232e-08
1.036121.6384071.650655e-08
1.041441.6383151.659122e-08
1.046781.6382221.667632e-08
1.052151.638131.676185e-08
1.057541.6380371.684783e-08
1.061.6379951.688700e-08
1.062971.6379451.693425e-08
1.068421.6378521.702113e-08
1.07391.637761.710844e-08
1.07941.6376671.719621e-08
1.084941.6375751.728443e-08
1.09051.6374821.737309e-08
1.09611.6373891.746222e-08
1.101721.6372971.755180e-08
1.107371.6372041.764184e-08
1.113051.6371111.773234e-08
1.118761.6370181.782330e-08
1.124491.6369251.791474e-08
1.130261.6368321.800664e-08
1.136061.6367391.809901e-08
1.141881.6366451.819185e-08
1.147741.6365521.828518e-08
1.153621.6364581.837898e-08
1.159541.6363641.847326e-08
1.165491.636271.856802e-08
1.171471.6361761.866328e-08
1.177471.6360811.875902e-08
1.183511.6359861.885525e-08
1.189581.6358911.895197e-08
1.195681.6357961.904919e-08
1.21.6357291.911800e-08
1.201811.6357011.965447e-08
1.207981.6356052.147709e-08
1.214171.6355092.330905e-08
1.22041.6354132.515041e-08
1.226661.6353162.700121e-08
1.232951.635222.886150e-08
1.239271.6351223.073134e-08
1.245631.6350253.261076e-08
1.252021.6349273.449982e-08
1.258441.6348293.639857e-08
1.264891.6347313.830706e-08
1.271381.6346324.022534e-08
1.27791.6345334.215345e-08
1.284451.6344334.409145e-08
1.291041.6343334.603939e-08
1.297661.6342324.799732e-08
1.304321.6341324.996529e-08
1.311011.634035.194336e-08
1.317731.6339295.393157e-08
1.324491.6338265.592997e-08
1.331281.6337245.793863e-08
1.338111.6336215.995758e-08
1.344971.6335176.198690e-08
1.351871.6334136.402661e-08
1.35881.6333086.607679e-08
1.365771.6332036.813748e-08
1.372771.6330977.020875e-08
1.379811.6329917.229063e-08
1.386891.6328847.438319e-08
1.3941.6327767.648648e-08
1.41.6326867.826000e-08
1.401151.6326687.825058e-08
1.408341.632567.819180e-08
1.415561.632457.813272e-08
1.422821.632347.807333e-08
1.430121.632237.801364e-08
1.437451.6321197.795365e-08
1.444821.6320077.789335e-08
1.452231.6318947.783273e-08
1.459681.6317817.777181e-08
1.467171.6316677.771058e-08
1.474691.6315527.764903e-08
1.482251.6314377.758716e-08
1.489861.631327.752498e-08
1.49751.6312037.746248e-08
1.505181.6310867.739966e-08
1.51291.6309677.733651e-08
1.520651.6308487.727304e-08
1.528451.6307287.720925e-08
1.536291.6306077.714513e-08
1.544171.6304857.708068e-08
1.552091.6303627.701590e-08
1.560051.6302387.695079e-08
1.568051.6301147.688534e-08
1.576091.6299887.681956e-08
1.584181.6298627.675344e-08
1.59231.6297357.668698e-08
1.61.6296147.662400e-08
1.600471.6296067.695025e-08
1.608671.6294778.269036e-08
1.616921.6293478.845992e-08
1.625221.6292169.425906e-08
1.633551.6290831.000879e-07
1.641931.628951.059467e-07
1.650351.6288161.118355e-07
1.658811.628681.177546e-07
1.667321.6285441.237039e-07
1.675871.6284061.296838e-07
1.684471.6282671.356944e-07
1.693111.6281271.417358e-07
1.701791.6279861.478081e-07
1.710521.6278441.539116e-07
1.719291.6277011.600464e-07
1.728111.6275561.662127e-07
1.736971.627411.724106e-07
1.745881.6272631.786403e-07
1.754831.6271151.849019e-07
1.763831.6269651.911957e-07
1.772881.6268141.975217e-07
1.781971.6266622.038802e-07
1.791111.6265082.102712e-07
1.81.6263582.164900e-07
1.800291.6263532.170282e-07
1.809531.6261962.339723e-07
1.818811.6260392.510033e-07
1.828131.6258792.681216e-07
1.837511.6257192.853277e-07
1.846931.6255573.026221e-07
1.856411.6253933.200052e-07
1.865931.6252283.374774e-07
1.87551.6250613.550392e-07
1.885111.6248933.726911e-07
1.894781.6247233.904335e-07
1.90451.6245524.082669e-07
1.914271.6243794.261918e-07
1.924081.6242044.442086e-07
1.933951.6240284.623177e-07
1.943871.623854.805198e-07
1.953841.623674.988152e-07
1.963861.6234885.172045e-07
1.973931.6233055.356880e-07
1.984051.623125.542664e-07
1.994231.6229335.729400e-07
21.6228275.835300e-07
2.004461.6227456.164282e-07
2.014741.6225546.923077e-07
2.025071.6223627.685763e-07
2.035461.6221678.452360e-07
2.045891.6219719.222889e-07
2.056391.6217739.997370e-07
2.066931.6215721.077582e-06
2.077531.621371.155827e-06
2.088191.6211661.234472e-06
2.09891.6209591.313522e-06
2.109661.6207511.392976e-06
2.120481.620541.472838e-06
2.131361.6203271.553110e-06
2.142291.6201121.633793e-06
2.153271.6198951.714890e-06
2.164321.6196751.796403e-06
2.175421.6194541.878334e-06
2.186571.6192291.960685e-06
2.197791.6190032.043458e-06
2.21.6189582.059800e-06
2.209061.6187742.315488e-06
2.220391.6185432.635305e-06
2.231771.6183092.956763e-06
2.243221.6180733.279869e-06
2.254721.6178343.604632e-06
2.266291.6175923.931061e-06
2.277911.6173494.259163e-06
2.289591.6171024.588949e-06
2.301331.6168534.920425e-06
2.313141.6166015.253602e-06
2.3251.6163465.588487e-06

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
—