Optical constants

Refractive index of H-LAK59A (CDGM)

H-LAK59A: n,k 0.313–2.325 µm

Data
formula 2 + tabulated k
Range
0.313–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.313–2.325 µm
Refractive index n
1.691
Extinction coefficient k
2.34385e-08
Permittivity ε1
2.85947
Permittivity ε2
7.92689e-08
Absorption coefficient α
0.00501254 cm⁻¹
Penetration depth δ = λ/(2πk)
3.98999e+09 nm
Abbe number Vd
54.815
Chromatic dispersion dn/dλ
-0.0649956 µm⁻¹
Group index ng
1.72919
Group velocity dispersion
115.355 fs²/mm
Dispersion parameter D
-629.321 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-LAK59A (CDGM): H-LAK59A
cdgm_h_lak59a = ls.fetch_refractiveindex("specs", "CDGM-optical", "H-LAK59A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(cdgm_h_lak59a.range_nm)  # (313, 2325) nm
eps = cdgm_h_lak59a.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=1.63613242λ2λ2−0.00869769737+0.169161636λ2λ2−0.0295057126+0.929984618λ2λ2−82.4994109

Valid from 0.313 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.63613242
C30.00869769737
C40.169161636
C50.0295057126
C60.929984618
C782.4994109

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -5.25e-06 1.39e-08 -3.66e-11 5.03e-07 5.22e-10 0.184
nd
1.691000
Vd
54.815309
glass code
691548
density
value: 3940
thermal expansion
value: 8.2e-06, temperature range: 243 343; value: 9.6e-06, temperature range: 293 573
dPgF
-0.0052
resistance
climatic: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -2.13e-06 K⁻¹ at 633 nm, dn/dT = -2.66e-06 K⁻¹ at 1310 nm, dn/dT = -2.69e-06 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 430 wavelengths, the same grid as the API and the library
H-LAK59A (CDGM), H-LAK59A: n and k versus wavelength
λ (µm)nk
0.3131.7425567.028250e-06
0.3145771.7417536.642433e-06
0.3161621.7409616.254671e-06
0.3177551.740185.864956e-06
0.3193561.7394095.473278e-06
0.321.7391035.315700e-06
0.3209651.7386495.133615e-06
0.3225821.73794.828459e-06
0.3242071.737164.521766e-06
0.3258411.7364314.213527e-06
0.3274831.7357113.903735e-06
0.3291331.7350013.592383e-06
0.331.7346323.428700e-06
0.3307911.73433.325095e-06
0.3324581.7336083.106763e-06
0.3341331.7329262.887332e-06
0.3358161.7322522.666794e-06
0.3375081.7315882.445146e-06
0.3392091.7309322.222380e-06
0.341.730632.118700e-06
0.3409181.7302842.038344e-06
0.3426351.7296451.887927e-06
0.3443621.7290141.736753e-06
0.3460971.7283911.584816e-06
0.347841.7277761.432114e-06
0.3495931.7271691.278642e-06
0.351.7270291.243000e-06
0.3513541.7265691.170557e-06
0.3531251.7259771.075870e-06
0.3549041.7253939.807048e-07
0.3566921.7248168.850604e-07
0.3584891.7242467.889342e-07
0.361.7237757.081200e-07
0.3602951.7236836.992171e-07
0.3621111.7231286.444928e-07
0.3639351.7225795.894927e-07
0.3657691.7220375.342156e-07
0.3676121.7215014.786599e-07
0.3694641.7209724.228243e-07
0.371.7208214.066600e-07
0.3713251.720453.827117e-07
0.3731961.7199343.489049e-07
0.3750761.7194243.149277e-07
0.3769661.7189212.807793e-07
0.3788661.7184232.464589e-07
0.381.718132.259600e-07
0.3807741.7179322.192756e-07
0.3826931.7174462.027171e-07
0.3846211.7169671.860752e-07
0.3865591.7164931.693494e-07
0.3885071.7160241.525394e-07
0.391.715671.396500e-07
0.3904641.7155611.373644e-07
0.3924311.7151041.276750e-07
0.3944091.7146521.179367e-07
0.3963961.7142061.081494e-07
0.3983931.7137649.831284e-08
0.41.7134159.039800e-08
0.40041.7133288.959982e-08
0.4024181.7128978.557677e-08
0.4044451.7124718.153345e-08
0.4064831.712057.746976e-08
0.4085311.7116347.338559e-08
0.4105891.7112236.928085e-08
0.4126581.7108166.515543e-08
0.4147371.7104146.100922e-08
0.4168271.7100175.684212e-08
0.4189271.7096245.265403e-08
0.421.7094265.051400e-08
0.4210381.7092365.027032e-08
0.4231591.7088524.977212e-08
0.4252911.7084724.927141e-08
0.4274341.7080974.876818e-08
0.4295871.7077264.826241e-08
0.4317521.7073594.775409e-08
0.4339271.7069974.724322e-08
0.4361131.7066384.672976e-08
0.4383111.7062834.621373e-08
0.441.7060154.581700e-08
0.4405191.7059334.548677e-08
0.4427391.7055864.407483e-08
0.4449691.7052434.265577e-08
0.4472111.7049044.122957e-08
0.4494641.7045693.979618e-08
0.4517291.7042373.835557e-08
0.4540051.7039093.690769e-08
0.4562921.7035853.545253e-08
0.4585911.7032643.399003e-08
0.461.703073.309400e-08
0.4609021.7029473.281157e-08
0.4632241.7026333.208449e-08
0.4655581.7023233.135374e-08
0.4679041.7020163.061931e-08
0.4702611.7017122.988119e-08
0.4726311.7014112.913934e-08
0.4750121.7011142.839375e-08
0.4774051.700822.764441e-08
0.4798111.7005292.689129e-08
0.481.7005072.683200e-08
0.4822281.7002412.606464e-08
0.4846581.6999572.522787e-08
0.48711.6996752.438688e-08
0.4895541.6993962.354165e-08
0.492021.6991212.269217e-08
0.4944991.6988482.183840e-08
0.4969911.6985782.098034e-08
0.4994951.6983112.011795e-08
0.51.6982571.994400e-08
0.5020121.6980462.002426e-08
0.5045411.6977852.012518e-08
0.5070831.6975262.022661e-08
0.5096381.697272.032855e-08
0.5122061.6970162.043100e-08
0.5147861.6967652.053397e-08
0.517381.6965172.063746e-08
0.5199871.6962712.074147e-08
0.5226071.6960282.084601e-08
0.525241.6957872.095107e-08
0.5278861.6955492.105666e-08
0.5305461.6953132.116278e-08
0.5332191.695082.126944e-08
0.5359061.6948492.137663e-08
0.5386061.694622.148436e-08
0.5413191.6943942.159264e-08
0.5440471.6941692.170146e-08
0.5467881.6939472.181083e-08
0.5495431.6937282.192076e-08
0.551.6936912.193900e-08
0.5523121.693512.203119e-08
0.5550941.6932952.214216e-08
0.5578911.6930812.225370e-08
0.5607021.692872.236580e-08
0.5635271.6926612.247846e-08
0.5663661.6924542.259169e-08
0.569221.6922492.270549e-08
0.5720881.6920462.281986e-08
0.574971.6918452.293481e-08
0.5778671.6916462.305034e-08
0.5807791.6914482.316645e-08
0.5837051.6912532.328315e-08
0.5866461.691062.340044e-08
0.5896021.6908682.351831e-08
0.5925721.6906782.363678e-08
0.5955581.690492.375585e-08
0.5985581.6903042.387551e-08
0.61.6902162.393300e-08
0.6015741.690122.383222e-08
0.6046051.6899372.363817e-08
0.6076511.6897562.344315e-08
0.6107131.6895762.324715e-08
0.613791.6893992.305016e-08
0.6168831.6892232.285218e-08
0.6199911.6890482.265320e-08
0.6231141.6888752.245321e-08
0.6262541.6887042.225222e-08
0.6294091.6885342.205022e-08
0.632581.6883662.184720e-08
0.6357681.6881992.164315e-08
0.6389711.6880342.143808e-08
0.642191.687872.123198e-08
0.6454261.6877082.102483e-08
0.6486781.6875472.081665e-08
0.651.6874832.073200e-08
0.6519461.6873882.079404e-08
0.6552311.687232.089876e-08
0.6585321.6870732.100401e-08
0.661851.6869182.110978e-08
0.6651851.6867642.121609e-08
0.6685361.6866112.132294e-08
0.6719051.686462.143032e-08
0.675291.686312.153824e-08
0.6786921.6861612.164671e-08
0.6821121.6860132.175573e-08
0.6855491.6858672.186529e-08
0.6890031.6857222.197540e-08
0.6924741.6855782.208607e-08
0.6959631.6854352.219730e-08
0.699471.6852942.230909e-08
0.71.6852722.232600e-08
0.7029941.6851532.203916e-08
0.7065361.6850142.169981e-08
0.7100961.6848762.135874e-08
0.7136731.6847392.101596e-08
0.7172691.6846032.067145e-08
0.7208831.6844682.032520e-08
0.7245151.6843341.997721e-08
0.7281651.6842011.962747e-08
0.7318341.6840691.927596e-08
0.7355221.6839381.892268e-08
0.7392271.6838081.856763e-08
0.7429521.683681.821078e-08
0.7466951.6835521.785214e-08
0.7504571.6834251.749169e-08
0.7542381.6832991.712942e-08
0.7580391.6831741.676533e-08
0.7618581.6830491.639940e-08
0.7656961.6829261.603163e-08
0.7695541.6828041.566200e-08
0.7734321.6826821.529052e-08
0.7773281.6825611.491716e-08
0.7812451.6824411.454192e-08
0.7851811.6823221.416479e-08
0.7891371.6822041.378576e-08
0.7931131.6820861.340482e-08
0.7971091.681971.302197e-08
0.81.6818861.274500e-08
0.8011251.6818541.276294e-08
0.8051621.6817381.282728e-08
0.8092181.6816241.289194e-08
0.8132961.681511.295693e-08
0.8173931.6813971.302225e-08
0.8215121.6812851.308790e-08
0.8256511.6811731.315387e-08
0.8298111.6810621.322018e-08
0.8339921.6809521.328683e-08
0.8381941.6808421.335381e-08
0.8424171.6807331.342112e-08
0.8466611.6806251.348878e-08
0.851.680541.354200e-08
0.8509271.6805171.355676e-08
0.8552141.680411.362501e-08
0.8595231.6803031.369361e-08
0.8638541.6801971.376255e-08
0.8682061.6800921.383184e-08
0.8725811.6799871.390148e-08
0.8769771.6798831.397148e-08
0.8813961.6797791.404182e-08
0.8858361.6796761.411252e-08
0.89031.6795731.418357e-08
0.8947851.6794711.425498e-08
0.8992941.6793691.432675e-08
0.91.6793531.433800e-08
0.9038251.6792681.439896e-08
0.9083781.6791671.447155e-08
0.9129551.6790671.454451e-08
0.9175551.6789671.461783e-08
0.9221781.6788671.469152e-08
0.9268241.6787681.476558e-08
0.9314941.6786691.484001e-08
0.9361871.6785711.491483e-08
0.9409041.6784731.499001e-08
0.9456451.6783761.506558e-08
0.951.6782871.513500e-08
0.9504091.6782791.514152e-08
0.9551981.6781821.521775e-08
0.9600111.6780851.529437e-08
0.9648471.6779891.537137e-08
0.9697091.6778931.544876e-08
0.9745951.6777981.552654e-08
0.9795051.6777031.560472e-08
0.984441.6776081.568329e-08
0.98941.6775131.576225e-08
0.9943851.6774191.584161e-08
0.9993951.6773251.592137e-08
11.6773141.593100e-08
1.004431.6772311.600159e-08
1.009491.6771381.608223e-08
1.014581.6770441.616327e-08
1.019691.6769511.624472e-08
1.024831.6768581.632657e-08
1.029991.6767661.640885e-08
1.035181.6766731.649153e-08
1.04041.6765811.657463e-08
1.045641.6764891.665816e-08
1.050911.6763971.674210e-08
1.05621.6763051.682646e-08
1.061.676241.688700e-08
1.061521.6762131.691126e-08
1.066871.6761221.699649e-08
1.072251.676031.708215e-08
1.077651.6759391.716824e-08
1.083081.6758481.725476e-08
1.088531.6757571.734172e-08
1.094021.6756661.742912e-08
1.099531.6755751.751696e-08
1.105071.6754841.760524e-08
1.110641.6753931.769397e-08
1.116231.6753021.778314e-08
1.121861.6752121.787277e-08
1.127511.6751211.796284e-08
1.133191.675031.805337e-08
1.13891.6749391.814435e-08
1.144641.6748491.823580e-08
1.150411.6747581.832770e-08
1.15621.6746671.842007e-08
1.162031.6745761.851290e-08
1.167881.6744851.860620e-08
1.173771.6743941.869997e-08
1.179681.6743031.879421e-08
1.185631.6742121.888893e-08
1.19161.6741211.898412e-08
1.19761.674031.907980e-08
1.21.6739931.911800e-08
1.203641.6739382.019338e-08
1.20971.6738472.198669e-08
1.21581.6737552.378902e-08
1.221921.6736642.560044e-08
1.228081.6735722.742099e-08
1.234271.673482.925071e-08
1.240481.6733873.108964e-08
1.246731.6732953.293785e-08
1.253021.6732023.479536e-08
1.259331.673113.666223e-08
1.265671.6730173.853851e-08
1.272051.6729234.042425e-08
1.278461.672834.231948e-08
1.28491.6727364.422426e-08
1.291381.6726424.613864e-08
1.297881.6725484.806267e-08
1.304421.6724544.999639e-08
1.310991.6723595.193985e-08
1.31761.6722645.389310e-08
1.324241.6721695.585620e-08
1.330911.6720735.782918e-08
1.337611.6719775.981211e-08
1.344351.6718816.180503e-08
1.351131.6717846.380799e-08
1.357941.6716876.582104e-08
1.364781.6715896.784423e-08
1.371651.6714926.987762e-08
1.378561.6713947.192125e-08
1.385511.6712957.397518e-08
1.392491.6711967.603945e-08
1.399511.6710977.811413e-08
1.41.671097.826000e-08
1.406561.6709977.988966e-08
1.413641.6708968.165073e-08
1.420771.6707968.342067e-08
1.427931.6706948.519953e-08
1.435121.6705938.698735e-08
1.442351.6704918.878418e-08
1.449621.6703889.059006e-08
1.456921.6702859.240504e-08
1.464261.6701819.422917e-08
1.471641.6700779.606248e-08
1.479051.6699729.790504e-08
1.486511.6698679.975687e-08
1.4941.6697611.016180e-07
1.501521.6696541.034886e-07
1.509091.6695471.053686e-07
1.516691.6694391.072580e-07
1.524331.6693311.091570e-07
1.532011.6692221.110655e-07
1.539731.6691121.129836e-07
1.547491.6690021.149114e-07
1.555291.6688911.168490e-07
1.563121.6687791.187962e-07
1.5711.6686671.207533e-07
1.578911.6685531.227203e-07
1.586871.668441.246972e-07
1.594871.6683251.266840e-07
1.61.6682511.279600e-07
1.60291.668211.313638e-07
1.610981.6680931.408407e-07
1.619091.6679771.503653e-07
1.627251.6678591.599378e-07
1.635451.667741.695586e-07
1.643691.6676211.792279e-07
1.651971.6675011.889459e-07
1.660291.667381.987129e-07
1.668661.6672582.085290e-07
1.677071.6671352.183947e-07
1.685521.6670112.283100e-07
1.694011.6668872.382753e-07
1.702541.6667612.482908e-07
1.711121.6666352.583567e-07
1.719741.6665072.684734e-07
1.728411.6663792.786411e-07
1.737121.6662492.888600e-07
1.745871.6661192.991303e-07
1.754671.6659873.094524e-07
1.763511.6658553.198265e-07
1.772391.6657213.302529e-07
1.781321.6655873.407319e-07
1.79031.6654513.512636e-07
1.799321.6653143.618483e-07
1.81.6653043.626500e-07
1.808381.6651763.837760e-07
1.817491.6650374.067389e-07
1.826651.6648974.298175e-07
1.835851.6647554.530123e-07
1.84511.6646134.763240e-07
1.85441.6644694.997532e-07
1.863741.6643245.233004e-07
1.873131.6641775.469662e-07
1.882571.664035.707513e-07
1.892061.6638815.946562e-07
1.901591.6637316.186816e-07
1.911171.6635796.428280e-07
1.92081.6634266.670961e-07
1.930481.6632726.914864e-07
1.94021.6631167.159997e-07
1.949981.6629597.406364e-07
1.95981.6628017.653973e-07
1.969681.6626417.902829e-07
1.97961.662488.152939e-07
1.989581.6623178.404309e-07
1.99961.6621528.656946e-07
21.6621468.667000e-07
2.009681.6619869.544842e-07
2.01981.6618191.046348e-06
2.029981.661651.138675e-06
2.040211.6614791.231467e-06
2.050491.6613071.324726e-06
2.060821.6611331.418456e-06
2.07121.6609571.512658e-06
2.081641.660781.607334e-06
2.092121.6606011.702487e-06
2.102661.660421.798120e-06
2.113261.6602381.894234e-06
2.123911.6600531.990833e-06
2.134611.6598672.087919e-06
2.145361.6596792.185493e-06
2.156171.6594892.283560e-06
2.167031.6592972.382120e-06
2.177951.6591042.481177e-06
2.188931.6589082.580733e-06
2.199951.658712.680791e-06
2.21.658712.681200e-06
2.211041.6585112.972826e-06
2.222181.6583093.267119e-06
2.233381.6581053.562895e-06
2.244631.6578993.860161e-06
2.255941.6576914.158925e-06
2.26731.6574814.459195e-06
2.278731.6572694.760977e-06
2.290211.6570545.064280e-06
2.301751.6568375.369110e-06
2.313341.6566185.675477e-06
2.3251.6563975.983388e-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
—