Optical constants

Refractive index of N-LAF21 (SCHOTT)

N-LAF21: n,k 0.334–2.5 µm

Data
formula 2 + tabulated k
Range
0.334–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.334–2.5 µm
Refractive index n
1.788
Extinction coefficient k
1.50234e-08
Permittivity ε1
3.19693
Permittivity ε2
5.37235e-08
Absorption coefficient α
0.00321289 cm⁻¹
Penetration depth δ = λ/(2πk)
6.22493e+09 nm
Abbe number Vd
47.49
Chromatic dispersion dn/dλ
-0.0852256 µm⁻¹
Group index ng
1.83808
Group velocity dispersion
154.418 fs²/mm
Dispersion parameter D
-842.434 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-LAF21 (SCHOTT): N-LAF21
schott_n_laf21 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-LAF21", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_laf21.range_nm)  # (334, 2500) nm
eps = schott_n_laf21.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=1.87134529λ2λ2−0.0093332228+0.25078301λ2λ2−0.0345637762+1.22048639λ2λ2−83.2404866

Valid from 0.334 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.87134529
C30.0093332228
C40.25078301
C50.0345637762
C61.22048639
C783.2404866

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.11e-06 1.13e-08 -2.07e-11 5.88e-07 6.32e-10 0.199
nd
1.788
Vd
47.49
glass code
788475.428
glass status
standard
density
value: 4281
thermal expansion
value: 5.99e-06, temperature range: 243 343; value: 7.08e-06, temperature range: 293 573
dPgF
-0.0084
resistance
acid: 51.3; stain: 1.0; alkali: 1.0; climatic: 1.0; phosphate: 1.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.90e-06 K⁻¹ at 633 nm, dn/dT = 2.07e-06 K⁻¹ at 1310 nm, dn/dT = 2.00e-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 420 wavelengths, the same grid as the API and the library
N-LAF21 (SCHOTT), N-LAF21: n and k versus wavelength
λ (µm)nk
0.3341.8449753.422200e-06
0.3356891.8440223.190235e-06
0.3373871.8430822.957097e-06
0.3390931.8421562.722779e-06
0.3408081.8412432.487277e-06
0.3425321.8403432.250583e-06
0.3442641.8394562.012692e-06
0.3460061.8385821.773599e-06
0.3477561.8377191.533295e-06
0.3495141.8368691.291777e-06
0.351.8366371.225100e-06
0.3512821.8360311.165638e-06
0.3530591.8352041.083243e-06
0.3548441.8343891.000431e-06
0.3566391.8335849.172004e-07
0.3584431.8327918.335487e-07
0.3602561.8320097.494739e-07
0.3620781.8312376.649739e-07
0.3639091.8304755.800465e-07
0.3651.8300285.294500e-07
0.365751.8297245.112965e-07
0.3675991.8289834.664938e-07
0.3694591.8282514.214645e-07
0.371.8280414.083500e-07
0.3713271.827533.871919e-07
0.3732051.8268173.572505e-07
0.3750931.8261143.271576e-07
0.376991.8254212.969125e-07
0.3788961.8247362.665144e-07
0.381.8243452.489200e-07
0.3808131.824062.418167e-07
0.3827391.8233932.249834e-07
0.3846741.8227352.080650e-07
0.386621.8220851.910610e-07
0.3885751.8214431.739710e-07
0.391.8209831.615200e-07
0.3905411.820811.588269e-07
0.3925161.8201841.489884e-07
0.3945011.8195671.391002e-07
0.3964961.8189571.291619e-07
0.3985021.8183551.191733e-07
0.41.8179121.117100e-07
0.4005171.817761.101194e-07
0.4025431.8171731.038884e-07
0.4045791.8165939.762598e-08
0.4051.8164749.633000e-08
0.4066251.816029.301880e-08
0.4086811.8154558.882796e-08
0.4107481.8148968.461591e-08
0.4128261.8143448.038257e-08
0.4149141.8137997.612781e-08
0.4170121.8132617.185154e-08
0.4191211.8127296.755363e-08
0.421.812516.576300e-08
0.4212411.8122036.460883e-08
0.4233721.8116846.262748e-08
0.4255131.8111716.063612e-08
0.4276651.8106655.863468e-08
0.4298281.8101645.662312e-08
0.4320021.8096695.460139e-08
0.4341871.809185.256943e-08
0.4361.8087815.088300e-08
0.4363831.8086975.063889e-08
0.438591.808224.923070e-08
0.4408081.8077484.781538e-08
0.4430371.8072824.639291e-08
0.4452781.8068214.496324e-08
0.447531.8063664.352634e-08
0.4497941.8059164.208217e-08
0.4520681.8054714.063070e-08
0.4543551.8050313.917188e-08
0.4566531.8045963.770569e-08
0.4589621.8041673.623209e-08
0.461.8039763.557000e-08
0.4612841.8037423.499348e-08
0.4636171.8033223.394562e-08
0.4659611.8029073.289245e-08
0.4683181.8024973.183396e-08
0.4706871.8020913.077011e-08
0.4730671.801692.970089e-08
0.475461.8012932.862625e-08
0.4778641.8009012.754619e-08
0.4802811.8005132.646065e-08
0.482711.800132.536963e-08
0.4851521.799752.427309e-08
0.4876051.7993752.317101e-08
0.4900721.7990052.206335e-08
0.492551.7986382.095009e-08
0.4950411.7982751.983119e-08
0.4975451.7979161.870664e-08
0.51.797571.760400e-08
0.5000611.7975621.759679e-08
0.5025911.7972111.730017e-08
0.5051321.7968641.700205e-08
0.5076871.796521.670242e-08
0.5102551.7961811.640127e-08
0.5128361.7958451.609861e-08
0.5154291.7955121.579441e-08
0.5180361.7951831.548867e-08
0.5206561.7948581.518139e-08
0.5232891.7945361.487255e-08
0.5259361.7942181.456215e-08
0.5285961.7939031.425018e-08
0.531271.7935911.393663e-08
0.5339561.7932831.362150e-08
0.5366571.7929781.330477e-08
0.5393711.7926761.298644e-08
0.5420991.7923771.266650e-08
0.5448411.7920811.234494e-08
0.5461.7919571.220900e-08
0.5475971.7917881.233203e-08
0.5503661.7914991.254544e-08
0.553151.7912121.275994e-08
0.5559471.7909281.297552e-08
0.5587591.7906471.319219e-08
0.5615851.790371.340996e-08
0.5644251.7900941.362883e-08
0.567281.7898221.384880e-08
0.5701491.7895531.406989e-08
0.5730331.7892861.429210e-08
0.5759311.7890211.451543e-08
0.5788441.788761.473989e-08
0.581.7886571.482900e-08
0.5817711.7885011.487430e-08
0.5847141.7882451.494955e-08
0.5876711.7879911.502518e-08
0.5906431.7877391.510120e-08
0.593631.7874911.517759e-08
0.5966331.7872441.525438e-08
0.599651.7871.533155e-08
0.6026831.7867581.540912e-08
0.6057311.7865191.548707e-08
0.6087951.7862821.556542e-08
0.6118741.7860471.564417e-08
0.6149681.7858151.572332e-08
0.6180791.7855851.580286e-08
0.621.7854441.585200e-08
0.6212051.7853561.581905e-08
0.6243461.7851311.573312e-08
0.6275041.7849071.564676e-08
0.6306781.7846851.555996e-08
0.6338681.7844651.547272e-08
0.6370731.7842481.538504e-08
0.6402961.7840321.529692e-08
0.6435341.7838181.520835e-08
0.6467891.7836071.511933e-08
0.650061.7833971.502986e-08
0.6533481.7831891.493994e-08
0.6566521.7829831.484957e-08
0.6599731.7827791.475874e-08
0.661.7827771.475800e-08
0.6633111.7825771.464634e-08
0.6666661.7823761.453320e-08
0.6700381.7821781.441948e-08
0.6734261.7819811.430520e-08
0.6768321.7817851.419033e-08
0.6802551.7815921.407489e-08
0.6836961.78141.395886e-08
0.6871541.781211.384224e-08
0.6906291.7810211.372503e-08
0.6941221.7808341.360723e-08
0.6976331.7806491.348884e-08
0.71.7805251.340900e-08
0.7011611.7804651.340937e-08
0.7047071.7802831.341049e-08
0.7082711.7801021.341162e-08
0.7118541.7799231.341275e-08
0.7154541.7797451.341389e-08
0.7190721.7795681.341504e-08
0.7227091.7793931.341619e-08
0.7263641.779221.341735e-08
0.7300381.7790481.341851e-08
0.733731.7788771.341968e-08
0.7374411.7787081.342086e-08
0.7411711.7785391.342204e-08
0.7449191.7783731.342322e-08
0.7486871.7782071.342442e-08
0.7524741.7780431.342562e-08
0.7562791.777881.342682e-08
0.7601041.7777181.342803e-08
0.7639491.7775581.342925e-08
0.7678121.7773981.343047e-08
0.7716961.777241.343170e-08
0.7755991.7770831.343294e-08
0.7795211.7769271.343418e-08
0.7834641.7767721.343543e-08
0.7874261.7766181.343668e-08
0.7914091.7764661.343795e-08
0.7954111.7763141.343921e-08
0.7994341.7761641.344049e-08
0.8034781.7760141.344177e-08
0.8075411.7758661.344305e-08
0.8116251.7757181.344435e-08
0.815731.7755721.344565e-08
0.8198561.7754261.344695e-08
0.8240031.7752811.344827e-08
0.828171.7751381.344959e-08
0.8323591.7749951.345091e-08
0.8365681.7748531.345225e-08
0.8407991.7747121.345359e-08
0.8450521.7745721.345493e-08
0.8493261.7744321.345629e-08
0.8536211.7742941.345765e-08
0.8579391.7741561.345901e-08
0.8622781.7740191.346039e-08
0.8666391.7738831.346177e-08
0.8710221.7737481.346316e-08
0.8754271.7736131.346455e-08
0.8798551.7734791.346595e-08
0.8843051.7733461.346736e-08
0.8887771.7732131.346878e-08
0.8932721.7730821.347020e-08
0.897791.772951.347163e-08
0.9023311.772821.347307e-08
0.9068951.772691.347452e-08
0.9114811.7725611.347597e-08
0.9160911.7724321.347743e-08
0.9207241.7723041.347890e-08
0.9253811.7721771.348037e-08
0.9300611.772051.348185e-08
0.9347651.7719241.348334e-08
0.9394931.7717981.348484e-08
0.9442451.7716731.348634e-08
0.949021.7715481.348786e-08
0.953821.7714241.348938e-08
0.9586441.77131.349090e-08
0.9634921.7711771.349244e-08
0.9683651.7710541.349398e-08
0.9732631.7709321.349553e-08
0.9781851.770811.349709e-08
0.9831331.7706881.349866e-08
0.9881051.7705671.350023e-08
0.9931031.7704461.350182e-08
0.9981251.7703261.350341e-08
1.003171.7702061.350500e-08
1.008251.7700871.350661e-08
1.013351.7699671.350823e-08
1.018471.7698481.350985e-08
1.023621.769731.351148e-08
1.02881.7696111.351312e-08
1.0341.7694931.351477e-08
1.039231.7693751.351642e-08
1.044491.7692581.351809e-08
1.049771.769141.351976e-08
1.055081.7690231.352144e-08
1.061.7689161.352300e-08
1.060421.7689071.363810e-08
1.065781.768791.511922e-08
1.071171.7686731.660783e-08
1.076591.7685571.810397e-08
1.082031.7684411.960767e-08
1.087511.7683252.111898e-08
1.093011.7682092.263794e-08
1.098531.7680932.416457e-08
1.104091.7679782.569893e-08
1.109671.7678622.724105e-08
1.115291.7677472.879096e-08
1.120931.7676323.034872e-08
1.12661.7675163.191435e-08
1.132291.7674013.348791e-08
1.138021.7672863.506942e-08
1.143781.7671713.665893e-08
1.149561.7670563.825647e-08
1.155371.7669413.986210e-08
1.161221.7668254.147585e-08
1.167091.766714.309776e-08
1.172991.7665954.472788e-08
1.178931.766484.636624e-08
1.184891.7663644.801288e-08
1.190881.7662494.966785e-08
1.19691.7661345.133120e-08
1.202961.7660185.300295e-08
1.209041.7659025.468316e-08
1.215161.7657865.637187e-08
1.22131.765675.806912e-08
1.227481.7655545.977495e-08
1.233691.7654386.148942e-08
1.239931.7653216.321255e-08
1.24621.7652056.494439e-08
1.25251.7650886.668500e-08
1.258841.7649716.843441e-08
1.26521.7648537.019267e-08
1.27161.7647367.195982e-08
1.278031.7646187.373590e-08
1.28451.76457.552097e-08
1.290991.7643817.731507e-08
1.297521.7642637.911825e-08
1.304091.7641448.093054e-08
1.310681.7640248.275199e-08
1.317311.7639058.458267e-08
1.323971.7637848.642259e-08
1.330671.7636648.827183e-08
1.33741.7635439.013042e-08
1.344161.7634229.199840e-08
1.350961.76339.387584e-08
1.357791.7631789.576277e-08
1.364661.7630569.765924e-08
1.371561.7629339.956531e-08
1.37851.762811.014810e-07
1.385471.7626861.034064e-07
1.392481.7625611.053415e-07
1.399521.7624371.072865e-07
1.40661.7623111.092412e-07
1.413711.7621851.112059e-07
1.420861.7620591.131804e-07
1.428051.7619321.151650e-07
1.435271.7618041.171596e-07
1.442531.7616761.191643e-07
1.449831.7615471.211791e-07
1.457161.7614181.232041e-07
1.464531.7612881.252394e-07
1.471941.7611571.272850e-07
1.479381.7610261.293409e-07
1.486861.7608941.314072e-07
1.494381.7607611.334839e-07
1.501941.7606271.355712e-07
1.509541.7604931.376690e-07
1.517171.7603581.397774e-07
1.524851.7602221.418965e-07
1.531.7601311.433200e-07
1.532561.7600861.478995e-07
1.540311.7599491.617789e-07
1.54811.759811.757285e-07
1.555931.7596721.897486e-07
1.56381.7595322.038397e-07
1.571711.7593912.180020e-07
1.579661.759252.322359e-07
1.587651.7591072.465419e-07
1.595681.7589642.609201e-07
1.603751.758822.753712e-07
1.611861.7586742.898953e-07
1.620011.7585283.044928e-07
1.62821.7583813.191642e-07
1.636441.7582333.339098e-07
1.644711.7580843.487299e-07
1.653031.7579343.636251e-07
1.661391.7577823.785955e-07
1.669791.757633.936417e-07
1.678241.7574774.087639e-07
1.686731.7573224.239627e-07
1.695261.7571664.392383e-07
1.703831.757014.545912e-07
1.712451.7568524.700217e-07
1.721111.7566934.855303e-07
1.729821.7565325.011173e-07
1.738561.7563715.167831e-07
1.747361.7562085.325282e-07
1.756191.7560445.483529e-07
1.765081.7558785.642576e-07
1.7741.7557125.802428e-07
1.782981.7555445.963088e-07
1.791991.7553746.124561e-07
1.801061.7552036.286850e-07
1.810171.7550316.449961e-07
1.819321.7548586.613896e-07
1.828521.7546836.778660e-07
1.837771.7545066.944258e-07
1.847071.7543287.110693e-07
1.856411.7541497.277970e-07
1.86581.7539687.446093e-07
1.875231.7537867.615066e-07
1.884721.7536027.784894e-07
1.894251.7534167.955581e-07
1.903831.7532298.127131e-07
1.913461.753048.299548e-07
1.923141.7528498.472838e-07
1.932861.7526578.647004e-07
1.942641.7524638.822051e-07
1.952461.7522678.997984e-07
1.962341.7520699.174806e-07
1.971.7519169.312000e-07
1.972261.751879.651898e-07
1.982241.7516691.115011e-06
1.992261.7514661.265590e-06
2.002341.7512611.416930e-06
2.012471.7510541.569036e-06
2.022641.7508451.721911e-06
2.032871.7506351.875559e-06
2.043161.7504222.029985e-06
2.053491.7502072.185191e-06
2.063881.749992.341183e-06
2.074311.7497712.497963e-06
2.08481.749552.655536e-06
2.095351.7493272.813906e-06
2.105951.7491022.973078e-06
2.11661.7488753.133054e-06
2.12731.7486453.293839e-06
2.138061.7484133.455438e-06
2.148881.7481793.617853e-06
2.159741.7479423.781091e-06
2.170671.7477033.945154e-06
2.181641.7474614.110046e-06
2.192681.7472184.275773e-06
2.203771.7469714.442337e-06
2.214911.7467234.609745e-06
2.226121.7464714.777999e-06
2.237381.7462174.947103e-06
2.248691.7459615.117063e-06
2.260061.7457015.287883e-06
2.271491.745445.459567e-06
2.282981.7451755.632119e-06
2.294531.7449085.805543e-06
2.306131.7446375.979845e-06
2.31781.7443646.155028e-06
2.3251.7441956.263200e-06
2.329521.7440886.535540e-06
2.34131.743817.245332e-06
2.353141.7435287.958713e-06
2.365051.7432438.675702e-06
2.377011.7429559.396318e-06
2.389031.7426641.012058e-05
2.401111.742371.084850e-05
2.413261.7420721.158011e-05
2.425461.7417721.231541e-05
2.437731.7414681.305444e-05
2.450061.7411611.379720e-05
2.462451.740851.454372e-05
2.47491.7405361.529401e-05
2.487421.7402191.604810e-05
2.51.7398981.680600e-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
—