Optical constants

Refractive index of H-LAK12 (CDGM)

H-LAK12: 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
1.6968
Extinction coefficient k
2.81403e-08
Permittivity ε1
2.87912
Permittivity ε2
9.54967e-08
Absorption coefficient α
0.00601806 cm⁻¹
Penetration depth δ = λ/(2πk)
3.32333e+09 nm
Abbe number Vd
56.175
Chromatic dispersion dn/dλ
-0.0640998 µm⁻¹
Group index ng
1.73446
Group velocity dispersion
111.37 fs²/mm
Dispersion parameter D
-607.583 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-LAK12 (CDGM): H-LAK12
cdgm_h_lak12 = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-LAK12", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_lak12.range_nm)  # (302, 2325) nm
eps = cdgm_h_lak12.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=0.786703112λ2λ2−0.00202073208+1.21770392λ2λ2−86.703479+1.04086924λ2λ2−0.0163643393

Valid from 0.302 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.786703112
C30.00202073208
C41.21770392
C586.703479
C61.04086924
C70.0163643393

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.86e-07 1.39e-08 -1.79e-11 4.74e-07 4.36e-10 0.167
nd
1.696800
Vd
56.175305
glass code
697562
density
value: 3710
thermal expansion
value: 6.4e-06, temperature range: 243 343; value: 8e-06, temperature range: 293 573
dPgF
-0.0071
resistance
climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 5.99e-07 K⁻¹ at 633 nm, dn/dT = 5.12e-08 K⁻¹ at 1310 nm, dn/dT = 7.32e-09 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-LAK12 (CDGM), H-LAK12: n and k versus wavelength
λ (µm)nk
0.3021.752634.322260e-06
0.3035491.7517694.086655e-06
0.3051061.750923.849841e-06
0.306671.7500833.611813e-06
0.3082431.7492573.372564e-06
0.3098241.7484433.132089e-06
0.311.7483533.105300e-06
0.3114131.7476392.963579e-06
0.313011.7468472.803375e-06
0.3146151.7460652.642350e-06
0.3162291.7452932.480499e-06
0.317851.7445322.317818e-06
0.3194811.7437812.154302e-06
0.321.7435442.102200e-06
0.3211191.743042.024012e-06
0.3227661.7423081.908946e-06
0.3244211.7415871.793289e-06
0.3260851.7408741.677039e-06
0.3277571.7401711.560194e-06
0.3294381.7394781.442748e-06
0.331.7392491.403500e-06
0.3311281.7387931.348007e-06
0.3328261.7381171.264447e-06
0.3345331.737451.180459e-06
0.3362491.7367921.096040e-06
0.3379731.7361421.011188e-06
0.3397061.73559.259013e-07
0.341.7353929.114500e-07
0.3414481.7348668.629487e-07
0.34321.7342418.043141e-07
0.344961.7336247.453787e-07
0.3467291.7330146.861411e-07
0.3485071.7324126.265997e-07
0.351.7319155.766100e-07
0.3502941.7318185.700338e-07
0.3520911.7312315.299021e-07
0.3538971.7306514.895644e-07
0.3557121.7300794.490200e-07
0.3575361.7295144.082676e-07
0.3593691.7289563.673061e-07
0.361.7287663.532200e-07
0.3612121.7284053.374543e-07
0.3630651.727863.133664e-07
0.3649271.7273222.891550e-07
0.3667981.7267912.648195e-07
0.368681.7262672.403591e-07
0.371.7259042.231900e-07
0.370571.7257492.187627e-07
0.3724711.7252372.040112e-07
0.3743811.7247311.891841e-07
0.3763011.7242321.742809e-07
0.3782311.7237381.593013e-07
0.381.7232941.455700e-07
0.3801711.7232511.448627e-07
0.382121.7227691.367850e-07
0.384081.7222941.286659e-07
0.386051.7218231.205052e-07
0.388031.7213591.123026e-07
0.391.7209051.041400e-07
0.390021.72091.040934e-07
0.392021.7204479.938267e-08
0.394031.7199989.464779e-08
0.3960511.7195568.988862e-08
0.3980821.7191188.510505e-08
0.41.7187128.058900e-08
0.4001241.7186868.048685e-08
0.4021761.7182587.879648e-08
0.4042391.7178367.709744e-08
0.4063121.7174187.538968e-08
0.4083961.7170067.367317e-08
0.410491.7165987.194786e-08
0.4125951.7161957.021370e-08
0.4147111.7157976.847064e-08
0.4168381.7154036.671865e-08
0.4189761.7150146.495767e-08
0.421.7148296.411400e-08
0.4211251.7146296.348454e-08
0.4232841.7142486.227562e-08
0.4254551.7138726.106050e-08
0.4276371.7135015.983915e-08
0.429831.7131335.861154e-08
0.4320351.712775.737764e-08
0.434251.712415.613740e-08
0.4364771.7120555.489080e-08
0.4387161.7117045.363781e-08
0.441.7115055.291900e-08
0.4409661.7113575.231876e-08
0.4432271.7110135.091324e-08
0.44551.7106744.950051e-08
0.4477851.7103384.808053e-08
0.4500821.7100064.665327e-08
0.452391.7096784.521870e-08
0.454711.7093534.377676e-08
0.4570421.7090324.232743e-08
0.4593861.7087144.087067e-08
0.461.7086324.048900e-08
0.4617421.70843.963479e-08
0.464111.7080893.847350e-08
0.466491.7077823.730625e-08
0.4688831.7074783.613302e-08
0.4712871.7071773.495377e-08
0.4737041.706883.376847e-08
0.4761341.7065863.257709e-08
0.4785751.7062953.137961e-08
0.481.7061273.068100e-08
0.481031.7060073.033416e-08
0.4834971.7057222.950328e-08
0.4859761.705442.866815e-08
0.4884691.7051612.782873e-08
0.4909741.7048862.698500e-08
0.4934921.7046132.613695e-08
0.4960231.7043432.528455e-08
0.4985671.7040752.442778e-08
0.51.7039272.394500e-08
0.5011231.7038112.399881e-08
0.5036931.703552.412192e-08
0.5062771.7032912.424565e-08
0.5088731.7030342.437002e-08
0.5114831.7027812.449503e-08
0.5141061.702532.462068e-08
0.5167431.7022822.474697e-08
0.5193931.7020362.487391e-08
0.5220561.7017932.500151e-08
0.5247341.7015522.512975e-08
0.5274251.7013142.525866e-08
0.530131.7010782.538822e-08
0.5328491.7008442.551845e-08
0.5355811.7006132.564935e-08
0.5383281.7003842.578092e-08
0.5410891.7001582.591316e-08
0.5438641.6999332.604608e-08
0.5466531.6997112.617969e-08
0.5494571.6994912.631397e-08
0.551.6994492.634000e-08
0.5522751.6992742.644891e-08
0.5551071.6990582.658452e-08
0.5579541.6988452.672083e-08
0.5608151.6986342.685783e-08
0.5636911.6984242.699554e-08
0.5665821.6982172.713396e-08
0.5694881.6980122.727309e-08
0.5724091.6978082.741293e-08
0.5753441.6976072.755348e-08
0.5782951.6974082.769476e-08
0.5812611.697212.783676e-08
0.5842421.6970152.797949e-08
0.5872381.6968212.812296e-08
0.590251.6966292.826715e-08
0.5932771.6964392.841209e-08
0.5963191.696252.855777e-08
0.5993781.6960632.870420e-08
0.61.6960262.873400e-08
0.6024521.6958782.859642e-08
0.6055411.6956952.842303e-08
0.6086471.6955142.824874e-08
0.6117681.6953342.807357e-08
0.6149061.6951552.789749e-08
0.6180591.6949792.772052e-08
0.6212291.6948042.754263e-08
0.6244151.694632.736383e-08
0.6276171.6944582.718412e-08
0.6308361.6942872.700348e-08
0.6340711.6941182.682192e-08
0.6373231.6939512.663943e-08
0.6405921.6937852.645600e-08
0.6438771.693622.627163e-08
0.6471791.6934572.608631e-08
0.651.6933192.592800e-08
0.6504981.6932952.589212e-08
0.6538341.6931352.565178e-08
0.6571871.6929752.541022e-08
0.6605581.6928182.516742e-08
0.6639451.6926612.492337e-08
0.6673511.6925062.467807e-08
0.6707731.6923522.443151e-08
0.6742131.6921992.418369e-08
0.6776711.6920482.393459e-08
0.6811461.6918982.368422e-08
0.684641.6917492.343257e-08
0.6881511.6916012.317962e-08
0.691681.6914542.292538e-08
0.6952271.6913082.266983e-08
0.6987931.6911642.241297e-08
0.71.6911162.232600e-08
0.7023761.6910212.240181e-08
0.7059791.6908782.251672e-08
0.7095991.6907372.263222e-08
0.7132381.6905972.274831e-08
0.7168961.6904582.286499e-08
0.7205731.690322.298228e-08
0.7242681.6901832.310016e-08
0.7279831.6900472.321865e-08
0.7317161.6899122.333775e-08
0.7354691.6897782.345746e-08
0.7392411.6896452.357778e-08
0.7430321.6895132.369872e-08
0.7468431.6893812.382028e-08
0.7506731.6892512.394246e-08
0.7545231.6891212.406527e-08
0.7583921.6889932.418871e-08
0.7622821.6888652.431278e-08
0.7661911.6887382.443749e-08
0.770121.6886122.456284e-08
0.774071.6884862.468883e-08
0.778041.6883622.481547e-08
0.782031.6882382.494276e-08
0.7860411.6881152.507070e-08
0.7900721.6879932.519929e-08
0.7941241.6878712.532855e-08
0.7981961.687752.545847e-08
0.81.6876972.551600e-08
0.802291.687632.558905e-08
0.8064051.6875112.572031e-08
0.810541.6873922.585223e-08
0.8146971.6872742.598484e-08
0.8188751.6871562.611812e-08
0.8230751.6870392.625209e-08
0.8272961.6869232.638674e-08
0.8315391.6868082.652209e-08
0.8358031.6866932.665813e-08
0.840091.6865782.679487e-08
0.8443981.6864642.693231e-08
0.8487291.6863512.707045e-08
0.851.6863182.711100e-08
0.8530821.6862382.676630e-08
0.8574571.6861262.627691e-08
0.8618541.6860142.578501e-08
0.8662741.6859032.529058e-08
0.8707171.6857922.479362e-08
0.8751821.6856822.429411e-08
0.8796711.6855722.379204e-08
0.8841821.6854632.328740e-08
0.8887171.6853542.278016e-08
0.8932741.6852452.227033e-08
0.8978561.6851372.175788e-08
0.91.6850872.151800e-08
0.902461.685032.157685e-08
0.9070881.6849222.168756e-08
0.9117411.6848162.179883e-08
0.9164161.6847092.191068e-08
0.9211161.6846032.202310e-08
0.925841.6844972.213610e-08
0.9305881.6843922.224967e-08
0.9353611.6842862.236383e-08
0.9401581.6841812.247858e-08
0.944981.6840772.259391e-08
0.9498261.6839732.270984e-08
0.951.6839692.271400e-08
0.9546971.6838692.207679e-08
0.9595931.6837652.141258e-08
0.9645151.6836612.074496e-08
0.9694611.6835582.007391e-08
0.9744331.6834551.939942e-08
0.979431.6833521.872148e-08
0.9844531.6832491.804005e-08
0.9895021.6831471.735513e-08
0.9945771.6830451.666670e-08
0.9996781.6829421.597474e-08
11.6829361.593100e-08
1.00481.682841.600755e-08
1.009961.6827391.608966e-08
1.015141.6826371.617219e-08
1.020341.6825351.625514e-08
1.025581.6824341.633851e-08
1.030841.6823321.642232e-08
1.036121.6822311.650655e-08
1.041441.682131.659122e-08
1.046781.6820291.667632e-08
1.052151.6819271.676185e-08
1.057541.6818261.684783e-08
1.061.6817811.688700e-08
1.062971.6817251.693425e-08
1.068421.6816241.702113e-08
1.07391.6815231.710844e-08
1.07941.6814221.719621e-08
1.084941.6813211.728443e-08
1.09051.681221.737309e-08
1.09611.6811191.746222e-08
1.101721.6810181.755180e-08
1.107371.6809161.764184e-08
1.113051.6808151.773234e-08
1.118761.6807141.782330e-08
1.124491.6806121.791474e-08
1.130261.680511.800664e-08
1.136061.6804091.809901e-08
1.141881.6803071.819185e-08
1.147741.6802051.828518e-08
1.153621.6801021.837898e-08
1.159541.681.847326e-08
1.165491.6798981.856802e-08
1.171471.6797951.866328e-08
1.177471.6796921.875902e-08
1.183511.6795891.885525e-08
1.189581.6794851.895197e-08
1.195681.6793821.904919e-08
1.21.6793081.911800e-08
1.201811.6792781.934963e-08
1.207981.6791742.013655e-08
1.214171.6790692.092752e-08
1.22041.6789642.172254e-08
1.226661.6788592.252164e-08
1.232951.6787542.332483e-08
1.239271.6786482.413215e-08
1.245631.6785422.494360e-08
1.252021.6784362.575922e-08
1.258441.6783292.657902e-08
1.264891.6782222.740302e-08
1.271381.6781152.823125e-08
1.27791.6780072.906373e-08
1.284451.6778992.990047e-08
1.291041.677793.074151e-08
1.297661.6776813.158686e-08
1.304321.6775713.243655e-08
1.311011.6774613.329059e-08
1.317731.6773513.414902e-08
1.324491.677243.501184e-08
1.331281.6771293.587910e-08
1.338111.6770173.675080e-08
1.344971.6769043.762697e-08
1.351871.6767913.850763e-08
1.35881.6766773.939281e-08
1.365771.6765634.028253e-08
1.372771.6764494.117681e-08
1.379811.6763334.207568e-08
1.386891.6762174.297916e-08
1.3941.6761014.388727e-08
1.41.6760024.465300e-08
1.401151.6759844.476338e-08
1.408341.6758664.545211e-08
1.415561.6757474.614437e-08
1.422821.6756284.684017e-08
1.430121.6755084.753955e-08
1.437451.6753884.824251e-08
1.444821.6752664.894908e-08
1.452231.6751444.965927e-08
1.459681.6750225.037311e-08
1.467171.6748985.109060e-08
1.474691.6747745.181178e-08
1.482251.6746495.253665e-08
1.489861.6745235.326524e-08
1.49751.6743965.399757e-08
1.505181.6742695.473365e-08
1.51291.674145.547351e-08
1.520651.6740115.621716e-08
1.528451.6738815.696463e-08
1.536291.673755.771593e-08
1.544171.6736185.847108e-08
1.552091.6734855.923011e-08
1.560051.6733515.999303e-08
1.568051.6732166.075986e-08
1.576091.6730816.153062e-08
1.584181.6729446.230534e-08
1.59231.6728066.308403e-08
1.61.6726756.382200e-08
1.600471.6726676.411033e-08
1.608671.6725276.918321e-08
1.616921.6723877.428211e-08
1.625221.6722457.940716e-08
1.633551.6721018.455849e-08
1.641931.6719578.973624e-08
1.650351.6718129.494055e-08
1.658811.6716651.001715e-07
1.667321.6715181.054294e-07
1.675871.6713691.107142e-07
1.684471.6712191.160260e-07
1.693111.6710681.213652e-07
1.701791.6709151.267317e-07
1.710521.6707611.321257e-07
1.719291.6706061.375474e-07
1.728111.670451.429969e-07
1.736971.6702921.484744e-07
1.745881.6701331.539799e-07
1.754831.6699721.595137e-07
1.763831.6698111.650759e-07
1.772881.6696471.706666e-07
1.781971.6694831.762859e-07
1.791111.6693171.819341e-07
1.81.6691541.874300e-07
1.800291.6691491.880835e-07
1.809531.668982.086589e-07
1.818811.6688092.293398e-07
1.828131.6686372.501267e-07
1.837511.6684642.710203e-07
1.846931.6682882.920210e-07
1.856411.6681123.131294e-07
1.865931.6679333.343461e-07
1.87551.6677533.556715e-07
1.885111.6675713.771064e-07
1.894781.6673873.986512e-07
1.90451.6672024.203064e-07
1.914271.6670154.420728e-07
1.924081.6668264.639507e-07
1.933951.6666364.859409e-07
1.943871.6664435.080438e-07
1.953841.6662495.302601e-07
1.963861.6660535.525903e-07
1.973931.6658555.750350e-07
1.984051.6656555.975949e-07
1.994231.6654536.202704e-07
21.6653386.331300e-07
2.004461.6652496.644861e-07
2.014741.6650437.368087e-07
2.025071.6648358.095022e-07
2.035461.6646258.825686e-07
2.045891.6644139.560096e-07
2.056391.6641991.029827e-06
2.066931.6639821.104024e-06
2.077531.6637631.178600e-06
2.088191.6635431.253560e-06
2.09891.6633191.328903e-06
2.109661.6630941.404633e-06
2.120481.6628661.480752e-06
2.131361.6626361.557261e-06
2.142291.6624041.634162e-06
2.153271.6621691.711458e-06
2.164321.6619311.789150e-06
2.175421.6616911.867240e-06
2.186571.6614491.945731e-06
2.197791.6612042.024624e-06
2.21.6611562.040200e-06
2.209061.6609572.362665e-06
2.220391.6607062.766006e-06
2.231771.6604543.171416e-06
2.243221.6601983.578906e-06
2.254721.659943.988485e-06
2.266291.6596794.400165e-06
2.277911.6594154.813956e-06
2.289591.6591485.229869e-06
2.301331.6588795.647915e-06
2.313141.6586066.068105e-06
2.3251.658336.490450e-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
—