Optical constants

Refractive index of N-LAK33A (SCHOTT)

N-LAK33A: n,k 0.32–2.5 µm

Data
formula 2 + tabulated k
Range
0.32–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.32–2.5 µm
Refractive index n
1.75393
Extinction coefficient k
9.75245e-09
Permittivity ε1
3.07626
Permittivity ε2
3.42102e-08
Absorption coefficient α
0.00208565 cm⁻¹
Penetration depth δ = λ/(2πk)
9.58933e+09 nm
Abbe number Vd
52.271
Chromatic dispersion dn/dλ
-0.0743682 µm⁻¹
Group index ng
1.79763
Group velocity dispersion
131.601 fs²/mm
Dispersion parameter D
-717.951 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

# N-LAK33A (SCHOTT): N-LAK33A
schott_n_lak33a = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-LAK33A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_lak33a.range_nm)  # (320, 2500) nm
eps = schott_n_lak33a.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=1.44116999λ2λ2−0.00680933877+0.571749501λ2λ2−0.0222291824+1.16605226λ2λ2−80.9379555

Valid from 0.32 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.44116999
C30.00680933877
C40.571749501
C50.0222291824
C61.16605226
C780.9379555

Comments and conditions

inquiry glass

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.63e-06 1.11e-08 -3.92e-12 5.02e-07 5.08e-10 0.188
nd
1.75393
Vd
52.27
glass code
754523.422
glass status
special
density
value: 4216
thermal expansion
value: 5.8e-06, temperature range: 243 343; value: 7.02e-06, temperature range: 293 573
dPgF
-0.0086
resistance
acid: 51.0; stain: 1.0; alkali: 1.0; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.36e-06 K⁻¹ at 633 nm, dn/dT = 1.69e-06 K⁻¹ at 1310 nm, dn/dT = 1.63e-06 K⁻¹ at 1550 nm

References

Cite

SCHOTT Zemax catalog 2017-01-20b (obtained from http://www.schott.com); See also SCHOTT 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 421 wavelengths, the same grid as the API and the library
N-LAK33A (SCHOTT), N-LAK33A: n and k versus wavelength
λ (µm)nk
0.321.8090422.865700e-06
0.3216531.8081542.687145e-06
0.3233141.8072792.507668e-06
0.3249851.8064152.327264e-06
0.3266631.8055632.145928e-06
0.3283511.8047231.963656e-06
0.3300471.8038941.780441e-06
0.3317521.8030761.596281e-06
0.3334651.8022691.411169e-06
0.3341.8020211.353400e-06
0.3351881.8014731.297983e-06
0.3369191.8006881.217199e-06
0.3386591.7999131.135997e-06
0.3404091.7991491.054376e-06
0.3421671.7983949.723338e-07
0.3439351.797658.898674e-07
0.3457111.7969158.069750e-07
0.3474971.796197.236544e-07
0.3492921.7954756.399035e-07
0.351.7951966.068700e-07
0.3510961.7947685.836144e-07
0.352911.7940715.451422e-07
0.3547331.7933835.064713e-07
0.3565651.7927044.676007e-07
0.3584071.7920334.285293e-07
0.3602581.7913713.892560e-07
0.3621191.7907183.497799e-07
0.363991.7900733.100999e-07
0.3651.7897292.886700e-07
0.365871.7894362.791090e-07
0.367761.7888072.583390e-07
0.369661.7881862.374617e-07
0.371.7880752.337200e-07
0.3715691.7875722.213092e-07
0.3734881.7869672.061272e-07
0.3754181.7863691.908669e-07
0.3773571.7857781.755277e-07
0.3793061.7851951.601092e-07
0.381.784991.546200e-07
0.3812651.7846191.481529e-07
0.3832351.784051.380871e-07
0.3852141.7834891.279694e-07
0.3872041.7829341.177995e-07
0.3892041.7823861.075770e-07
0.391.782171.035100e-07
0.3912151.7818441.005063e-07
0.3932361.7813099.550921e-08
0.3952671.7807819.048633e-08
0.3973091.7802598.543750e-08
0.3993611.7797438.036259e-08
0.41.7795857.878200e-08
0.4014241.7792347.402056e-08
0.4034971.7787316.708578e-08
0.4051.7783716.206000e-08
0.4055821.7782336.123274e-08
0.4076771.7777425.825235e-08
0.4097821.7772575.525657e-08
0.4118991.7767775.224532e-08
0.4140271.7763034.921851e-08
0.4161651.7758354.617606e-08
0.4183151.7753724.311791e-08
0.421.7750144.072100e-08
0.4204761.7749144.042807e-08
0.4226481.7744623.909122e-08
0.4248311.7740153.774748e-08
0.4270261.7735743.639679e-08
0.4292311.7731373.503912e-08
0.4314491.7727063.367444e-08
0.4336771.772283.230271e-08
0.4359171.7718583.092389e-08
0.4361.7718433.087300e-08
0.4381691.7714422.994854e-08
0.4404321.771032.898388e-08
0.4427071.7706232.801423e-08
0.4449941.7702212.703958e-08
0.4472931.7698232.605989e-08
0.4496031.769432.507514e-08
0.4519261.7690412.408531e-08
0.454261.7686562.309036e-08
0.4566071.7682762.209027e-08
0.4589651.7679012.108502e-08
0.461.7677382.064400e-08
0.4613361.7675292.027439e-08
0.4637191.7671621.961513e-08
0.4661141.7667981.895247e-08
0.4685221.7664391.828638e-08
0.4709421.7660841.761685e-08
0.4733751.7657331.694387e-08
0.475821.7653851.626741e-08
0.4782781.7650421.558745e-08
0.4807481.7647021.490398e-08
0.4832321.7643661.421698e-08
0.4857281.7640331.352644e-08
0.4882371.7637051.283232e-08
0.4907591.763381.213462e-08
0.4932941.7630581.143332e-08
0.4958421.762741.072839e-08
0.4984031.7624251.001982e-08
0.51.7622319.578100e-09
0.5009781.7621149.522572e-09
0.5035661.7618069.375613e-09
0.5061671.7615019.227895e-09
0.5087811.7611999.079414e-09
0.5114091.7609018.930167e-09
0.5140511.7606068.780148e-09
0.5167061.7603148.629354e-09
0.5193761.7600258.477782e-09
0.5220581.7597398.325426e-09
0.5247551.7594578.172284e-09
0.5274661.7591778.018350e-09
0.530191.75897.863622e-09
0.5329291.7586267.708094e-09
0.5356821.7583547.551763e-09
0.5384491.7580867.394624e-09
0.541231.757827.236673e-09
0.5440261.7575577.077907e-09
0.5461.7573746.965800e-09
0.5468361.7572977.022070e-09
0.5496611.757047.212179e-09
0.55251.7567857.403270e-09
0.5553541.7565327.595348e-09
0.5582231.7562827.788418e-09
0.5611061.7560357.982486e-09
0.5640041.755798.177556e-09
0.5669181.7555488.373633e-09
0.5698461.7553088.570724e-09
0.572791.755078.768832e-09
0.5757491.7548358.967964e-09
0.5787231.7546029.168125e-09
0.581.7545039.254100e-09
0.5817121.7543729.366357e-09
0.5847171.7541439.563391e-09
0.5877371.7539179.761442e-09
0.5907731.7536939.960517e-09
0.5938251.7534711.016062e-08
0.5968921.7532521.036176e-08
0.5999751.7530341.056393e-08
0.6030741.7528191.076715e-08
0.606191.7526051.097142e-08
0.6093211.7523941.117675e-08
0.6124681.7521841.138313e-08
0.6156321.7519771.159058e-08
0.6188121.7517721.179911e-08
0.621.7516961.187700e-08
0.6220091.7515681.180941e-08
0.6252221.7513661.170129e-08
0.6284511.7511661.159262e-08
0.6316971.7509681.148338e-08
0.634961.7507721.137358e-08
0.638241.7505781.126321e-08
0.6415371.7503851.115228e-08
0.6448511.7501941.104076e-08
0.6481821.7500051.092868e-08
0.651531.7498181.081601e-08
0.6548961.7496321.070276e-08
0.6582781.7494481.058893e-08
0.661.7493551.053100e-08
0.6616791.7492651.046383e-08
0.6650971.7490841.032707e-08
0.6685321.7489051.018960e-08
0.6719861.7487271.005143e-08
0.6754571.748559.912541e-09
0.6789461.7483759.772935e-09
0.6824531.7482029.632607e-09
0.6859781.748039.491555e-09
0.6895211.747869.349774e-09
0.6930831.7476919.207261e-09
0.6966631.7475239.064012e-09
0.71.7473698.930500e-09
0.7002621.7473578.936306e-09
0.7038791.7471929.016512e-09
0.7075151.7470289.097133e-09
0.711171.7468669.178170e-09
0.7148431.7467059.259626e-09
0.7185361.7465459.341502e-09
0.7222471.7463879.423801e-09
0.7259781.7462299.506526e-09
0.7297281.7460739.589677e-09
0.7334971.7459189.673259e-09
0.7372861.7457659.757272e-09
0.7410951.7456129.841719e-09
0.7449231.7454619.926602e-09
0.7487711.7453111.001192e-08
0.7526391.7451621.009769e-08
0.7565261.7450131.018389e-08
0.7604341.7448661.027054e-08
0.7643621.7447211.035764e-08
0.768311.7445761.044519e-08
0.7722791.7444321.053319e-08
0.7762681.7442891.062164e-08
0.7802781.7441471.071056e-08
0.7843091.7440061.079993e-08
0.788361.7438661.088976e-08
0.7924321.7437271.098006e-08
0.7965261.7435891.107082e-08
0.800641.7434521.116205e-08
0.8047761.7433151.125375e-08
0.8089331.743181.134593e-08
0.8131111.7430451.143858e-08
0.8173111.7429111.153172e-08
0.8215331.7427781.162533e-08
0.8257771.7426461.171943e-08
0.8300421.7425141.181401e-08
0.834331.7423841.190908e-08
0.838641.7422541.200464e-08
0.8429721.7421251.210070e-08
0.8473261.7419961.219725e-08
0.8517031.7418681.229430e-08
0.8561021.7417411.239185e-08
0.8605241.7416151.248991e-08
0.864971.7414891.258847e-08
0.8694371.7413641.268754e-08
0.8739291.741241.278712e-08
0.8784431.7411161.288722e-08
0.882981.7409931.298784e-08
0.8875411.740871.308897e-08
0.8921261.7407481.319063e-08
0.8967341.7406271.329281e-08
0.9013661.7405061.339552e-08
0.9060221.7403851.349876e-08
0.9107021.7402651.360253e-08
0.9154071.7401461.370684e-08
0.9201351.7400271.381169e-08
0.9248881.7399091.391708e-08
0.9296661.7397911.402302e-08
0.9344681.7396731.412950e-08
0.9392951.7395561.423653e-08
0.9441471.739441.434411e-08
0.9490241.7393231.445225e-08
0.9539261.7392081.456095e-08
0.9588531.7390921.467021e-08
0.9638061.7389771.478004e-08
0.9687851.7388621.489043e-08
0.9737891.7387481.500139e-08
0.9788191.7386341.511293e-08
0.9838751.738521.522504e-08
0.9889571.7384071.533773e-08
0.9940661.7382941.545100e-08
0.9992011.7381811.556486e-08
1.004361.7380681.567931e-08
1.009551.7379561.579434e-08
1.014761.7378441.590997e-08
1.020011.7377321.602620e-08
1.025281.737621.614303e-08
1.030571.7375091.626046e-08
1.035891.7373981.637850e-08
1.041251.7372861.649715e-08
1.046621.7371761.661641e-08
1.052031.7370651.673629e-08
1.057461.7369541.685679e-08
1.061.7369031.691300e-08
1.062931.7368441.757561e-08
1.068421.7367331.881842e-08
1.073941.7366232.006765e-08
1.079481.7365132.132334e-08
1.085061.7364022.258551e-08
1.090671.7362922.385420e-08
1.09631.7361822.512944e-08
1.101961.7360722.641128e-08
1.107651.7359622.769973e-08
1.113381.7358522.899484e-08
1.119131.7357423.029664e-08
1.124911.7356323.160516e-08
1.130721.7355223.292044e-08
1.136561.7354123.424252e-08
1.142431.7353023.557142e-08
1.148331.7351923.690719e-08
1.154261.7350823.824986e-08
1.160231.7349713.959947e-08
1.166221.7348614.095604e-08
1.172241.734754.231963e-08
1.17831.734644.369026e-08
1.184381.7345294.506796e-08
1.19051.7344184.645279e-08
1.196651.7343074.784476e-08
1.202831.7341954.924393e-08
1.209051.7340845.065033e-08
1.215291.7339725.206399e-08
1.221571.733865.348495e-08
1.227881.7337485.491325e-08
1.234221.7336355.634893e-08
1.24061.7335225.779203e-08
1.2471.7334095.924258e-08
1.253451.7332966.070062e-08
1.259921.7331836.216619e-08
1.266431.7330696.363934e-08
1.272971.7329546.512009e-08
1.279551.732846.660850e-08
1.286161.7327256.810459e-08
1.29281.732616.960841e-08
1.299481.7324947.111999e-08
1.306191.7323787.263939e-08
1.312941.7322617.416663e-08
1.319721.7321447.570177e-08
1.326541.7320277.724483e-08
1.333391.7319097.879586e-08
1.340281.7317918.035491e-08
1.34721.7316728.192201e-08
1.354161.7315538.349720e-08
1.361151.7314338.508053e-08
1.368181.7313138.667204e-08
1.375251.7311928.827177e-08
1.382351.7310718.987976e-08
1.38951.7309499.149606e-08
1.396671.7308279.312071e-08
1.403891.7307049.475375e-08
1.411141.730589.639522e-08
1.418431.7304569.804518e-08
1.425761.7303319.970365e-08
1.433121.7302051.013707e-07
1.440521.7300791.030464e-07
1.447961.7299521.047307e-07
1.455441.7298241.064237e-07
1.462961.7296961.081254e-07
1.470521.7295671.098360e-07
1.478111.7294371.115554e-07
1.485751.7293071.132836e-07
1.493421.7291751.150208e-07
1.501141.7290431.167670e-07
1.508891.728911.185222e-07
1.516691.7287761.202864e-07
1.524521.7286421.220598e-07
1.531.7285471.233000e-07
1.53241.7285061.281776e-07
1.540311.728371.442930e-07
1.548271.7282331.604917e-07
1.556271.7280941.767740e-07
1.56431.7279551.931404e-07
1.572381.7278152.095913e-07
1.580511.7276742.261272e-07
1.588671.7275322.427486e-07
1.596881.7273892.594558e-07
1.605131.7272452.762493e-07
1.613421.72712.931295e-07
1.621751.7269543.100970e-07
1.630131.7268073.271521e-07
1.638551.7266593.442953e-07
1.647011.7265093.615270e-07
1.655521.7263593.788478e-07
1.664071.7262073.962580e-07
1.672671.7260544.137581e-07
1.681311.72594.313487e-07
1.689991.7257454.490301e-07
1.698721.7255894.668028e-07
1.70751.7254314.846674e-07
1.716321.7252725.026242e-07
1.725181.7251125.206738e-07
1.734091.7249515.388166e-07
1.743051.7247885.570532e-07
1.752061.7246245.753839e-07
1.761111.7244585.938093e-07
1.77021.7242916.123299e-07
1.779351.7241236.309462e-07
1.788541.7239536.496586e-07
1.797781.7237816.684677e-07
1.807061.7236096.873740e-07
1.81641.7234347.063779e-07
1.825781.7232597.254799e-07
1.835211.7230817.446807e-07
1.844691.7229027.639806e-07
1.854221.7227227.833802e-07
1.86381.722548.028801e-07
1.873421.7223568.224806e-07
1.88311.722178.421824e-07
1.892831.7219838.619860e-07
1.902611.7217948.818919e-07
1.912431.7216049.019005e-07
1.922311.7214119.220126e-07
1.932241.7212179.422285e-07
1.942221.7210219.625489e-07
1.952261.7208239.829742e-07
1.962341.7206231.003505e-06
1.971.7204711.019100e-06
1.972481.7204211.060604e-06
1.982671.7202181.231360e-06
1.992911.7200121.402997e-06
2.00321.7198041.575522e-06
2.013551.7195951.748937e-06
2.023951.7193831.923249e-06
2.03441.7191692.098460e-06
2.044911.7189532.274577e-06
2.055481.7187352.451604e-06
2.066091.7185152.629545e-06
2.076771.7182922.808405e-06
2.087491.7180672.988189e-06
2.098281.717843.168901e-06
2.109111.7176113.350548e-06
2.120011.7173793.533132e-06
2.130961.7171453.716660e-06
2.141971.7169083.901135e-06
2.153031.716674.086564e-06
2.164151.7164284.272950e-06
2.175331.7161844.460299e-06
2.186571.7159384.648616e-06
2.197861.7156884.837905e-06
2.209221.7154375.028173e-06
2.220631.7151825.219423e-06
2.23211.7149255.411661e-06
2.243631.7146655.604892e-06
2.255221.7144025.799121e-06
2.266871.7141375.994354e-06
2.278581.7138686.190595e-06
2.290351.7135976.387849e-06
2.302181.7133236.586123e-06
2.314071.7130466.785421e-06
2.3251.7127896.968600e-06
2.326021.7127657.034988e-06
2.338041.7124827.814551e-06
2.350121.7121958.598142e-06
2.362251.7119069.385780e-06
2.374461.7116131.017749e-05
2.386721.7113161.097328e-05
2.399051.7110171.177319e-05
2.411441.7107141.257723e-05
2.42391.7104081.338542e-05
2.436421.7100981.419779e-05
2.449011.7097841.501435e-05
2.461661.7094681.583513e-05
2.474371.7091471.666015e-05
2.487151.7088231.748943e-05
2.51.7084951.832300e-05

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
—