Optical constants

Refractive index of H-LAK11 (CDGM)

H-LAK11: 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
1.66461
Extinction coefficient k
3.28468e-08
Permittivity ε1
2.77092
Permittivity ε2
1.09354e-07
Absorption coefficient α
0.0070246 cm⁻¹
Penetration depth δ = λ/(2πk)
2.84714e+09 nm
Abbe number Vd
54.612
Chromatic dispersion dn/dλ
-0.062647 µm⁻¹
Group index ng
1.70142
Group velocity dispersion
112.37 fs²/mm
Dispersion parameter D
-613.038 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-LAK11 (CDGM): H-LAK11
cdgm_h_lak11 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-LAK11", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_lak11.range_nm)  # (302, 2325) nm
eps = cdgm_h_lak11.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=1.09089534λ2λ2−0.00492618902+0.628435989λ2λ2−0.0203181412+1.01438282λ2λ2−100.530943

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.09089534
C30.00492618902
C40.628435989
C50.0203181412
C61.01438282
C7100.530943

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.34e-06 2.38e-08 -5.5e-11 4.75e-07 6.18e-11 0.228
nd
1.664610
Vd
54.612239
glass code
665546
density
value: 4019
thermal expansion
value: 7.2e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
-0.0025
resistance
climatic: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.18e-08 K⁻¹ at 633 nm, dn/dT = -5.48e-07 K⁻¹ at 1310 nm, dn/dT = -5.89e-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-LAK11 (CDGM), H-LAK11: n and k versus wavelength
λ (µm)nk
0.3021.7207054.259020e-06
0.3035491.7198243.922401e-06
0.3051061.7189563.584056e-06
0.306671.71813.243976e-06
0.3082431.7172562.902152e-06
0.3098241.7164232.558574e-06
0.311.7163322.520300e-06
0.3114131.7156032.372828e-06
0.313011.7147942.206125e-06
0.3146151.7139972.038566e-06
0.3162291.713211.870148e-06
0.317851.7124351.700866e-06
0.3194811.711671.530716e-06
0.321.7114291.476500e-06
0.3211191.7109151.416088e-06
0.3227661.7101711.327182e-06
0.3244211.7094371.237820e-06
0.3260851.7087141.148000e-06
0.3277571.7079991.057719e-06
0.3294381.7072959.669753e-07
0.331.7070629.366500e-07
0.3311281.70668.972043e-07
0.3328261.7059148.378083e-07
0.3345331.7052387.781076e-07
0.3362491.704577.181008e-07
0.3379731.7039126.577862e-07
0.3397061.7032625.971623e-07
0.341.7031535.868900e-07
0.3414481.702625.552897e-07
0.34321.7019875.170872e-07
0.344961.7013634.786887e-07
0.3467291.7007464.400934e-07
0.3485071.7001384.013001e-07
0.351.6996363.687300e-07
0.3502941.6995373.649990e-07
0.3520911.6989453.422303e-07
0.3538971.6983593.193448e-07
0.3557121.6977822.963420e-07
0.3575361.6972122.732212e-07
0.3593691.6966492.499818e-07
0.361.6964572.419900e-07
0.3612121.6960932.309614e-07
0.3630651.6955442.141112e-07
0.3649271.6950021.971746e-07
0.3667981.6944671.801511e-07
0.368681.6939391.630403e-07
0.371.6935741.510300e-07
0.370571.6934181.483817e-07
0.3724711.6929031.395578e-07
0.3743811.6923941.306886e-07
0.3763011.6918921.217740e-07
0.3782311.6913961.128136e-07
0.381.6909491.046000e-07
0.3801711.6909061.041557e-07
0.382121.6904229.908135e-08
0.384081.6899449.398100e-08
0.386051.6894728.885450e-08
0.388031.6890068.370171e-08
0.391.688557.857400e-08
0.390021.6885457.854577e-08
0.392021.688097.569205e-08
0.394031.6876417.282370e-08
0.3960511.6871976.994063e-08
0.3980821.6867596.704278e-08
0.41.6863516.430700e-08
0.4001241.6863256.426360e-08
0.4021761.6858976.354538e-08
0.4042391.6854746.282348e-08
0.4063121.6850566.209788e-08
0.4083961.6846436.136856e-08
0.410491.6842356.063550e-08
0.4125951.6838325.989868e-08
0.4147111.6834345.915808e-08
0.4168381.683045.841368e-08
0.4189761.6826515.766546e-08
0.421.6824675.730700e-08
0.4211251.6822675.726028e-08
0.4232841.6818875.717054e-08
0.4254551.6815115.708034e-08
0.4276371.681145.698968e-08
0.429831.6807735.689856e-08
0.4320351.6804115.680696e-08
0.434251.6800525.671490e-08
0.4364771.6796985.662237e-08
0.4387161.6793485.652936e-08
0.441.679155.647600e-08
0.4409661.6790025.606182e-08
0.4432271.678665.509198e-08
0.44551.6783225.411716e-08
0.4477851.6779875.313734e-08
0.4500821.6776575.215250e-08
0.452391.677335.116260e-08
0.454711.6770075.016763e-08
0.4570421.6766874.916756e-08
0.4593861.6763724.816236e-08
0.461.676294.789900e-08
0.4617421.6760594.707075e-08
0.464111.675754.594474e-08
0.466491.6754454.481296e-08
0.4688831.6751434.367537e-08
0.4712871.6748454.253195e-08
0.4737041.6745494.138266e-08
0.4761341.6742574.022748e-08
0.4785751.6739693.906638e-08
0.481.6738023.838900e-08
0.481031.6736833.785149e-08
0.4834971.6734013.656385e-08
0.4859761.6731223.526961e-08
0.4884691.6728453.396874e-08
0.4909741.6725723.266119e-08
0.4934921.6723023.134694e-08
0.4960231.6720343.002595e-08
0.4985671.671772.869818e-08
0.51.6716232.795000e-08
0.5011231.6715092.801280e-08
0.5036931.671252.815647e-08
0.5062771.6709942.830087e-08
0.5088731.6707412.844601e-08
0.5114831.670492.859189e-08
0.5141061.6702422.873853e-08
0.5167431.6699972.888591e-08
0.5193931.6697552.903406e-08
0.5220561.6695152.918296e-08
0.5247341.6692772.933262e-08
0.5274251.6690422.948306e-08
0.530131.668812.963426e-08
0.5328491.6685792.978624e-08
0.5355811.6683522.993900e-08
0.5383281.6681263.009254e-08
0.5410891.6679043.024687e-08
0.5438641.6676833.040199e-08
0.5466531.6674653.055791e-08
0.5494571.6672483.071463e-08
0.551.6672073.074500e-08
0.5522751.6670343.087215e-08
0.5551071.6668233.103048e-08
0.5579541.6666133.118962e-08
0.5608151.6664063.134957e-08
0.5636911.66623.151035e-08
0.5665821.6659973.167195e-08
0.5694881.6657963.183438e-08
0.5724091.6655973.199764e-08
0.5753441.66543.216174e-08
0.5782951.6652043.232669e-08
0.5812611.6650113.249247e-08
0.5842421.664823.265911e-08
0.5872381.664633.282661e-08
0.590251.6644433.299496e-08
0.5932771.6642573.316417e-08
0.5963191.6640733.333426e-08
0.5993781.6638913.350521e-08
0.61.6638543.354000e-08
0.6024521.663713.342179e-08
0.6055411.6635323.327280e-08
0.6086471.6633553.312305e-08
0.6117681.663183.297254e-08
0.6149061.6630063.282125e-08
0.6180591.6628343.266918e-08
0.6212291.6626643.251634e-08
0.6244151.6624953.236271e-08
0.6276171.6623283.220830e-08
0.6308361.6621633.205309e-08
0.6340711.6619993.189708e-08
0.6373231.6618363.174028e-08
0.6405921.6616763.158267e-08
0.6438771.6615163.142425e-08
0.6471791.6613583.126503e-08
0.651.6612253.112900e-08
0.6504981.6612023.098561e-08
0.6538341.6610463.002528e-08
0.6571871.6608932.906003e-08
0.6605581.660742.808983e-08
0.6639451.6605892.711465e-08
0.6673511.660442.613447e-08
0.6707731.6602922.514927e-08
0.6742131.6601452.415901e-08
0.6776711.6599992.316367e-08
0.6811461.6598542.216323e-08
0.684641.6597112.115766e-08
0.6881511.6595692.014693e-08
0.691681.6594291.913102e-08
0.6952271.6592891.810989e-08
0.6987931.6591511.708353e-08
0.71.6591041.673600e-08
0.7023761.6590141.679282e-08
0.7059791.6588781.687895e-08
0.7095991.6587431.696552e-08
0.7132381.6586091.705253e-08
0.7168961.6584761.713999e-08
0.7205731.6583451.722790e-08
0.7242681.6582141.731626e-08
0.7279831.6580851.740507e-08
0.7317161.6579561.749434e-08
0.7354691.6578291.758406e-08
0.7392411.6577031.767425e-08
0.7430321.6575771.776489e-08
0.7468431.6574531.785601e-08
0.7506731.6573291.794759e-08
0.7545231.6572071.803964e-08
0.7583921.6570851.813216e-08
0.7622821.6569651.822515e-08
0.7661911.6568451.831863e-08
0.770121.6567261.841258e-08
0.774071.6566081.850701e-08
0.778041.6564911.860193e-08
0.782031.6563751.869734e-08
0.7860411.6562591.879323e-08
0.7900721.6561451.888962e-08
0.7941241.6560311.898650e-08
0.7981961.6559181.908388e-08
0.81.6558681.912700e-08
0.802291.6558061.887120e-08
0.8064051.6556941.841161e-08
0.810541.6555831.794965e-08
0.8146971.6554731.748533e-08
0.8188751.6553641.701863e-08
0.8230751.6552561.654953e-08
0.8272961.6551481.607803e-08
0.8315391.6550411.560411e-08
0.8358031.6549341.512776e-08
0.840091.6548281.464896e-08
0.8443981.6547231.416771e-08
0.8487291.6546191.368399e-08
0.851.6545881.354200e-08
0.8530821.6545151.359106e-08
0.8574571.6544111.366071e-08
0.8618541.6543091.373072e-08
0.8662741.6542071.380108e-08
0.8707171.6541051.387181e-08
0.8751821.6540041.394290e-08
0.8796711.6539041.401436e-08
0.8841821.6538041.408618e-08
0.8887171.6537051.415837e-08
0.8932741.6536061.423093e-08
0.8978561.6535081.430386e-08
0.91.6534621.433800e-08
0.902461.653411.437722e-08
0.9070881.6533131.445099e-08
0.9117411.6532161.452514e-08
0.9164161.6531191.459968e-08
0.9211161.6530231.467459e-08
0.925841.6529281.474989e-08
0.9305881.6528331.482558e-08
0.9353611.6527381.490165e-08
0.9401581.6526441.497812e-08
0.944981.6525511.505497e-08
0.9498261.6524571.513222e-08
0.951.6524541.513500e-08
0.9546971.6523641.520978e-08
0.9595931.6522711.528772e-08
0.9645151.6521791.536607e-08
0.9694611.6520871.544482e-08
0.9744331.6519961.552397e-08
0.979431.6519041.560353e-08
0.9844531.6518131.568350e-08
0.9895021.6517231.576387e-08
0.9945771.6516331.584466e-08
0.9996781.6515421.592587e-08
11.6515371.593100e-08
1.00481.6514531.600755e-08
1.009961.6513631.608966e-08
1.015141.6512741.617219e-08
1.020341.6511851.625514e-08
1.025581.6510961.633851e-08
1.030841.6510081.642232e-08
1.036121.6509191.650655e-08
1.041441.6508311.659122e-08
1.046781.6507431.667632e-08
1.052151.6506551.676185e-08
1.057541.6505681.684783e-08
1.061.6505281.688700e-08
1.062971.650481.693425e-08
1.068421.6503931.702113e-08
1.07391.6503061.710844e-08
1.07941.6502191.719621e-08
1.084941.6501321.728443e-08
1.09051.6500451.737309e-08
1.09611.6499591.746222e-08
1.101721.6498721.755180e-08
1.107371.6497861.764184e-08
1.113051.6496991.773234e-08
1.118761.6496131.782330e-08
1.124491.6495271.791474e-08
1.130261.6494411.800664e-08
1.136061.6493551.809901e-08
1.141881.6492691.819185e-08
1.147741.6491821.828518e-08
1.153621.6490961.837898e-08
1.159541.649011.847326e-08
1.165491.6489241.856802e-08
1.171471.6488381.866328e-08
1.177471.6487521.875902e-08
1.183511.6486661.885525e-08
1.189581.6485791.895197e-08
1.195681.6484931.904919e-08
1.21.6484321.911800e-08
1.201811.6484071.914690e-08
1.207981.648321.924509e-08
1.214171.6482341.934377e-08
1.22041.6481471.944297e-08
1.226661.648061.954267e-08
1.232951.6479741.964289e-08
1.239271.6478871.974361e-08
1.245631.6477991.984486e-08
1.252021.6477121.994662e-08
1.258441.6476252.004891e-08
1.264891.6475372.015172e-08
1.271381.6474492.025506e-08
1.27791.6473612.035893e-08
1.284451.6472732.046333e-08
1.291041.6471852.056826e-08
1.297661.6470962.067374e-08
1.304321.6470082.077975e-08
1.311011.6469192.088631e-08
1.317731.6468292.099342e-08
1.324491.646742.110107e-08
1.331281.646652.120928e-08
1.338111.646562.131804e-08
1.344971.646472.142736e-08
1.351871.6463792.153724e-08
1.35881.6462882.164769e-08
1.365771.6461972.175870e-08
1.372771.6461052.187028e-08
1.379811.6460132.198243e-08
1.386891.6459212.209515e-08
1.3941.6458282.220846e-08
1.41.645752.230400e-08
1.401151.6457352.232235e-08
1.408341.6456412.243682e-08
1.415561.6455482.255187e-08
1.422821.6454532.266752e-08
1.430121.6453592.278376e-08
1.437451.6452642.290060e-08
1.444821.6451682.301803e-08
1.452231.6450722.313607e-08
1.459681.6449762.325472e-08
1.467171.6448792.337397e-08
1.474691.6447822.349383e-08
1.482251.6446842.361431e-08
1.489861.6445852.373541e-08
1.49751.6444862.385712e-08
1.505181.6443872.397946e-08
1.51291.6442872.410243e-08
1.520651.6441862.422603e-08
1.528451.6440852.435027e-08
1.536291.6439842.447514e-08
1.544171.6438812.460065e-08
1.552091.6437792.472680e-08
1.560051.6436752.485360e-08
1.568051.6435712.498105e-08
1.576091.6434662.510916e-08
1.584181.6433612.523792e-08
1.59231.6432552.536735e-08
1.61.6431542.549000e-08
1.600471.6431482.576634e-08
1.608671.6430413.062836e-08
1.616921.6429333.551532e-08
1.625221.6428244.042733e-08
1.633551.6427144.536454e-08
1.641931.6426045.032707e-08
1.650351.6424935.531505e-08
1.658811.6423816.032861e-08
1.667321.6422696.536788e-08
1.675871.6421557.043300e-08
1.684471.6420417.552409e-08
1.693111.6419268.064129e-08
1.701791.641818.578474e-08
1.710521.6416949.095456e-08
1.719291.6415769.615090e-08
1.728111.6414581.013739e-07
1.736971.6413381.066237e-07
1.745881.6412181.119004e-07
1.754831.6410971.172041e-07
1.763831.6409751.225351e-07
1.772881.6408521.278934e-07
1.781971.6407281.332792e-07
1.791111.6406031.386926e-07
1.81.6404811.439600e-07
1.800291.6404771.443877e-07
1.809531.640351.578524e-07
1.818811.6402221.713861e-07
1.828131.6400931.849893e-07
1.837511.6399621.986622e-07
1.846931.6398312.124053e-07
1.856411.6396992.262188e-07
1.865931.6395652.401032e-07
1.87551.6394312.540587e-07
1.885111.6392952.680859e-07
1.894781.6391582.821850e-07
1.90451.639022.963564e-07
1.914271.6388813.106005e-07
1.924081.638743.249176e-07
1.933951.6385993.393081e-07
1.943871.6384563.537725e-07
1.953841.6383113.683110e-07
1.963861.6381663.829241e-07
1.973931.6380193.976121e-07
1.984051.6378714.123755e-07
1.994231.6377214.272146e-07
21.6376364.356300e-07
2.004461.637574.571831e-07
2.014741.6374185.068951e-07
2.025071.6372645.568620e-07
2.035461.6371096.070852e-07
2.045891.6369526.575660e-07
2.056391.6367947.083057e-07
2.066931.6366357.593055e-07
2.077531.6364748.105670e-07
2.088191.6363118.620913e-07
2.09891.6361479.138799e-07
2.109661.6359819.659341e-07
2.120481.6358141.018255e-06
2.131361.6356451.070845e-06
2.142291.6354741.123704e-06
2.153271.6353021.176834e-06
2.164321.6351281.230237e-06
2.175421.6349521.283913e-06
2.186571.6347741.337865e-06
2.197791.6345951.392094e-06
2.21.634561.402800e-06
2.209061.6344141.554173e-06
2.220391.6342311.743512e-06
2.231771.6340461.933822e-06
2.243221.633862.125108e-06
2.254721.6336712.317375e-06
2.266291.6334812.510628e-06
2.277911.6332892.704873e-06
2.289591.6330942.900113e-06
2.301331.6328983.096355e-06
2.313141.63273.293603e-06
2.3251.6324993.491863e-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
—