Optical constants

Refractive index of N-LASF46 (SCHOTT)

N-LASF46: n,k 0.38–2.5 µm

Data
formula 2 + tabulated k
Range
0.38–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.38–2.5 µm
Refractive index n
1.90137
Extinction coefficient k
5.81393e-08
Permittivity ε1
3.61521
Permittivity ε2
2.21089e-07
Absorption coefficient α
0.0124336 cm⁻¹
Penetration depth δ = λ/(2πk)
1.60854e+09 nm
Abbe number Vd
31.638
Chromatic dispersion dn/dλ
-0.143824 µm⁻¹
Group index ng
1.98588
Group velocity dispersion
285.167 fs²/mm
Dispersion parameter D
-1555.74 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-LASF46 (SCHOTT): N-LASF46
schott_n_lasf46 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-LASF46", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_lasf46.range_nm)  # (380, 2500) nm
eps = schott_n_lasf46.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=2.18073678λ2λ2−0.0125642118+0.298978656λ2λ2−0.056469999+1.62190046λ2λ2−105.662819

Valid from 0.38 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C22.18073678
C30.0125642118
C40.298978656
C50.056469999
C61.62190046
C7105.662819

Comments and conditions

was replaced by N-LASF46A

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.6e-06 1.2e-08 -2.68e-11 8.42e-07 1.15e-09 0.272
nd
1.90138E+00
Vd
3.16400E+01
glass code
901316.446
glass status
preferred
density
value: 4460
thermal expansion
value: 6.02e-06, temperature range: 243 343; value: 7.23e-06, temperature range: 293 573
dPgF
0.0035
resistance
acid: 3.3; stain: 0.0; alkali: 1.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.23e-06 K⁻¹ at 633 nm, dn/dT = 2.73e-06 K⁻¹ at 1310 nm, dn/dT = 2.62e-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 416 wavelengths, the same grid as the API and the library
N-LASF46 (SCHOTT), N-LASF46: n and k versus wavelength
λ (µm)nk
0.381.9690945.570300e-06
0.3817981.9677985.237343e-06
0.3836051.9665224.902809e-06
0.3854211.9652674.566693e-06
0.3872451.9640324.228986e-06
0.3890781.9628173.889681e-06
0.391.9622143.718900e-06
0.3909191.9616213.607195e-06
0.3927691.9604433.382299e-06
0.3946281.9592833.156338e-06
0.3964951.9581422.929308e-06
0.3983721.9570172.701204e-06
0.41.956062.503300e-06
0.4002571.955912.481247e-06
0.4021521.954822.318908e-06
0.4040551.9537452.155800e-06
0.4051.953222.074800e-06
0.4059671.9526872.022190e-06
0.4078881.9516451.917671e-06
0.4098191.9506171.812657e-06
0.4117581.9496051.707147e-06
0.4137071.9486071.601137e-06
0.4156651.9476241.494626e-06
0.4176321.9466541.387610e-06
0.4196091.9456991.280088e-06
0.421.9455121.258800e-06
0.4215951.9447571.216036e-06
0.423591.9438281.162526e-06
0.4255951.9429121.108762e-06
0.4276091.9420091.054744e-06
0.4296321.9411181.000471e-06
0.4316661.940249.459399e-07
0.4337091.9393748.911512e-07
0.4357611.9385198.361032e-07
0.4361.9384218.297000e-07
0.4378241.9376768.047615e-07
0.4398961.9368447.764242e-07
0.4419771.9360247.479528e-07
0.4440691.9352147.193467e-07
0.4461711.9344156.906053e-07
0.4482821.9336276.617277e-07
0.4504041.9328486.327136e-07
0.4525361.9320816.035621e-07
0.4546771.9313235.742726e-07
0.4568291.9305755.448445e-07
0.4589911.9298365.152772e-07
0.461.9294965.014800e-07
0.4611631.9291074.938762e-07
0.4633461.9283874.796112e-07
0.4655391.9276774.652787e-07
0.4677421.9269754.508784e-07
0.4699561.9262824.364099e-07
0.472181.9255984.218729e-07
0.4744141.9249234.072671e-07
0.476661.9242553.925923e-07
0.4789161.9235963.778479e-07
0.4811821.9229463.630338e-07
0.4834591.9223033.481496e-07
0.4857471.9216683.331949e-07
0.4880461.9210413.181695e-07
0.4903561.9204213.030729e-07
0.4926771.9198092.879049e-07
0.4950081.9192042.726651e-07
0.4973511.9186062.573532e-07
0.4997051.9180162.419688e-07
0.51.9179432.400400e-07
0.502071.9174332.337459e-07
0.5044461.9168562.265205e-07
0.5068331.9162862.192608e-07
0.5092321.9157232.119667e-07
0.5116421.9151672.046382e-07
0.5140631.9146171.972750e-07
0.5164961.9140731.898769e-07
0.5189411.9135361.824438e-07
0.5213971.9130051.749755e-07
0.5238641.912481.674719e-07
0.5263441.9119611.599327e-07
0.5288351.9114481.523579e-07
0.5313371.9109411.447473e-07
0.5338521.910441.371006e-07
0.5363781.9099441.294177e-07
0.5389171.9094541.216985e-07
0.5414681.9089691.139427e-07
0.544031.908491.061503e-07
0.5461.9081261.001600e-07
0.5466051.9080169.948036e-08
0.5491921.9075479.657330e-08
0.5517911.9070849.365249e-08
0.5544021.9066259.071785e-08
0.5570261.9061728.776932e-08
0.5596621.9057238.480684e-08
0.5623111.905288.183034e-08
0.5649721.9048417.883975e-08
0.5676461.9044077.583501e-08
0.5703321.9039787.281605e-08
0.5730321.9035536.978279e-08
0.5757441.9031336.673519e-08
0.5784681.9027186.367316e-08
0.581.9024876.195200e-08
0.5812061.9023076.134694e-08
0.5839571.90195.996700e-08
0.586721.9014975.858054e-08
0.5894971.9010995.718752e-08
0.5922871.9007055.578790e-08
0.595091.9003155.438166e-08
0.5979061.8999295.296877e-08
0.6007361.8995475.154918e-08
0.6035791.8991695.012288e-08
0.6064361.8987954.868983e-08
0.6093061.8984254.725000e-08
0.6121891.8980594.580335e-08
0.6150871.8976964.434986e-08
0.6179981.8973374.288949e-08
0.621.8970944.188500e-08
0.6209231.8969824.160214e-08
0.6238611.8966314.070109e-08
0.6268141.8962823.979577e-08
0.629781.8959383.888617e-08
0.6327611.8955973.797226e-08
0.6357551.8952593.705403e-08
0.6387641.8949253.613146e-08
0.6417871.8945933.520451e-08
0.6448251.8942663.427318e-08
0.6478761.8939413.333745e-08
0.6509421.893623.239728e-08
0.6540231.8933013.145267e-08
0.6571181.8929863.050358e-08
0.661.8926972.962000e-08
0.6602281.8926742.955310e-08
0.6633531.8923652.863734e-08
0.6664921.8920592.771726e-08
0.6696471.8917562.679282e-08
0.6728161.8914552.586400e-08
0.6761.8911582.493079e-08
0.6791991.8908632.399317e-08
0.6824141.8905712.305110e-08
0.6856431.8902822.210458e-08
0.6888881.8899962.115358e-08
0.6921491.8897122.019807e-08
0.6954241.8894311.923805e-08
0.6987151.8891531.827348e-08
0.71.8890451.789700e-08
0.7020221.8888771.789147e-08
0.7053451.8886031.788239e-08
0.7086831.8883321.787327e-08
0.7120371.8880641.786410e-08
0.7154071.8877981.785489e-08
0.7187921.8875341.784563e-08
0.7221941.8872731.783634e-08
0.7256121.8870141.782699e-08
0.7290461.8867581.781761e-08
0.7324961.8865031.780818e-08
0.7359631.8862511.779870e-08
0.7394461.8860011.778918e-08
0.7429461.8857541.777962e-08
0.7464621.8855081.777000e-08
0.7499951.8852651.776035e-08
0.7535441.8850231.775065e-08
0.757111.8847841.774090e-08
0.7606931.8845471.773110e-08
0.7642931.8843121.772126e-08
0.7679111.8840791.771138e-08
0.7715451.8838471.770144e-08
0.7751961.8836181.769146e-08
0.7788651.883391.768144e-08
0.7825511.8831651.767136e-08
0.7862551.8829411.766124e-08
0.7899761.8827191.765107e-08
0.7937141.8824991.764085e-08
0.7974711.8822811.763058e-08
0.8012451.8820641.762026e-08
0.8050371.8818491.760990e-08
0.8088471.8816361.759948e-08
0.8126751.8814251.758902e-08
0.8165211.8812151.757851e-08
0.8203851.8810071.756795e-08
0.8242681.88081.755733e-08
0.8281691.8805951.754667e-08
0.8320881.8803921.753596e-08
0.8360261.880191.752519e-08
0.8399831.8799891.751438e-08
0.8439581.879791.750351e-08
0.8479531.8795931.749260e-08
0.8519661.8793971.748163e-08
0.8559981.8792021.747061e-08
0.8600491.8790091.745953e-08
0.8641191.8788171.744841e-08
0.8682091.8786271.743723e-08
0.8723181.8784381.742600e-08
0.8764461.878251.741471e-08
0.8805941.8780631.740338e-08
0.8847611.8778781.739199e-08
0.8889491.8776941.738054e-08
0.8931561.8775121.736904e-08
0.8973831.877331.735749e-08
0.901631.877151.734588e-08
0.9058971.8769711.733422e-08
0.9101841.8767931.732250e-08
0.9144921.8766161.731072e-08
0.918821.8764411.729889e-08
0.9231681.8762661.728701e-08
0.9275371.8760931.727506e-08
0.9319271.875921.726307e-08
0.9363371.8757491.725101e-08
0.9407691.8755791.723890e-08
0.9452211.8754091.722673e-08
0.9496951.8752411.721450e-08
0.9541891.8750741.720222e-08
0.9587051.8749081.718987e-08
0.9632421.8747421.717747e-08
0.9678011.8745781.716501e-08
0.9723811.8744141.715249e-08
0.9769831.8742521.713991e-08
0.9816071.874091.712727e-08
0.9862521.8739291.711458e-08
0.990921.8737691.710182e-08
0.995611.873611.708900e-08
1.000321.8734511.707612e-08
1.005061.8732941.706318e-08
1.009811.8731371.705018e-08
1.014591.8729811.703712e-08
1.019391.8728261.702399e-08
1.024221.8726711.701081e-08
1.029061.8725171.699756e-08
1.033941.8723641.698424e-08
1.038831.8722121.697087e-08
1.043741.872061.695743e-08
1.048681.8719091.694393e-08
1.053651.8717581.693036e-08
1.058631.8716081.691673e-08
1.061.8715681.691300e-08
1.063641.8714591.750623e-08
1.068681.8713111.832568e-08
1.073741.8711621.914900e-08
1.078821.8710151.997623e-08
1.083921.8708682.080736e-08
1.089051.8707222.164243e-08
1.094211.8705762.248146e-08
1.099391.870432.332445e-08
1.104591.8702852.417144e-08
1.109821.8701412.502243e-08
1.115071.8699972.587745e-08
1.120351.8698532.673651e-08
1.125651.869712.759965e-08
1.130981.8695682.846686e-08
1.136331.8694252.933818e-08
1.141711.8692833.021363e-08
1.147111.8691423.109322e-08
1.152541.8690013.197697e-08
1.157991.868863.286490e-08
1.163471.868723.375704e-08
1.168981.8685793.465339e-08
1.174511.868443.555399e-08
1.180071.86833.645886e-08
1.185651.8681613.736800e-08
1.191271.8680223.828145e-08
1.19691.8678833.919922e-08
1.202571.8677454.012133e-08
1.208261.8676064.104781e-08
1.213981.8674684.197867e-08
1.219721.867334.291394e-08
1.22551.8671934.385363e-08
1.23131.8670554.479778e-08
1.237121.8669184.574638e-08
1.242981.8667814.669948e-08
1.248861.8666444.765709e-08
1.254771.8665074.861924e-08
1.260711.866374.958593e-08
1.266681.8662335.055720e-08
1.272671.8660965.153307e-08
1.278691.865965.251355e-08
1.284751.8658235.349868e-08
1.290831.8656875.448847e-08
1.296931.865555.548294e-08
1.303071.8654135.648212e-08
1.309241.8652775.748603e-08
1.315441.865145.849469e-08
1.321661.8650045.950812e-08
1.327921.8648676.052635e-08
1.33421.8647316.154939e-08
1.340521.8645946.257728e-08
1.346861.8644576.361004e-08
1.353231.864326.464768e-08
1.359641.8641836.569023e-08
1.366071.8640466.673772e-08
1.372541.8639086.779016e-08
1.379031.8637716.884759e-08
1.385561.8636336.991002e-08
1.392121.8634957.097747e-08
1.398711.8633577.204998e-08
1.405331.8632197.312757e-08
1.411981.8630817.421025e-08
1.418661.8629427.529806e-08
1.425371.8628037.639102e-08
1.432121.8626647.748915e-08
1.43891.8625247.859247e-08
1.445711.8623857.970102e-08
1.452551.8622458.081482e-08
1.459421.8621048.193388e-08
1.466331.8619638.305824e-08
1.473271.8618228.418793e-08
1.480241.8616818.532296e-08
1.487251.8615398.646336e-08
1.494291.8613978.760916e-08
1.501361.8612548.876038e-08
1.508461.8611118.991705e-08
1.51561.8609689.107919e-08
1.522771.8608249.224683e-08
1.529981.860689.342000e-08
1.531.8606799.342300e-08
1.537221.8605351.015970e-07
1.54451.8603891.098306e-07
1.551811.8602441.181031e-07
1.559151.8600971.264148e-07
1.566531.859951.347659e-07
1.573941.8598031.431565e-07
1.581391.8596551.515867e-07
1.588881.8595061.600569e-07
1.59641.8593571.685672e-07
1.603951.8592071.771177e-07
1.611541.8590571.857087e-07
1.619171.8589061.943404e-07
1.626831.8587542.030129e-07
1.634531.8586022.117265e-07
1.642271.8584492.204813e-07
1.650041.8582952.292775e-07
1.657851.8581412.381154e-07
1.66571.8579852.469951e-07
1.673581.857832.559168e-07
1.68151.8576732.648807e-07
1.689461.8575152.738871e-07
1.697451.8573572.829360e-07
1.705491.8571982.920278e-07
1.713561.8570383.011627e-07
1.721671.8568773.103408e-07
1.729811.8567163.195623e-07
1.7381.8565533.288274e-07
1.746231.856393.381364e-07
1.754491.8562253.474895e-07
1.762791.856063.568868e-07
1.771141.8558943.663286e-07
1.779521.8557263.758150e-07
1.787941.8555583.853464e-07
1.79641.8553893.949229e-07
1.80491.8552194.045447e-07
1.813451.8550484.142120e-07
1.822031.8548754.239251e-07
1.830651.8547024.336842e-07
1.839321.8545284.434894e-07
1.848021.8543524.533411e-07
1.856771.8541754.632394e-07
1.865551.8539974.731845e-07
1.874381.8538184.831767e-07
1.883251.8536384.932162e-07
1.892171.8534575.033031e-07
1.901121.8532745.134379e-07
1.910121.853095.236206e-07
1.919161.8529055.338515e-07
1.928241.8527195.441308e-07
1.937371.8525315.544587e-07
1.946541.8523425.648355e-07
1.955751.8521515.752615e-07
1.9651.851965.857368e-07
1.971.8518565.913900e-07
1.97431.8517676.300594e-07
1.983651.8515727.139977e-07
1.993041.8513767.983332e-07
2.002471.8511788.830679e-07
2.011951.850989.682035e-07
2.021471.8507791.053742e-06
2.031031.8505771.139686e-06
2.040651.8503741.226036e-06
2.05031.8501691.312795e-06
2.060011.8499621.399964e-06
2.069761.8497541.487546e-06
2.079551.8495441.575542e-06
2.089391.8493321.663955e-06
2.099281.8491191.752787e-06
2.109221.8489041.842038e-06
2.11921.8486871.931713e-06
2.129231.8484692.021811e-06
2.139311.8482492.112336e-06
2.149431.8480272.203290e-06
2.15961.8478032.294673e-06
2.169821.8475772.386490e-06
2.180091.8473492.478741e-06
2.190411.847122.571428e-06
2.200781.8468882.664554e-06
2.211191.8466552.758121e-06
2.221661.846422.852131e-06
2.232171.8461822.946585e-06
2.242741.8459433.041487e-06
2.253351.8457013.136838e-06
2.264011.8454583.232640e-06
2.274731.8452123.328895e-06
2.285491.8449643.425606e-06
2.296311.8447143.522775e-06
2.307181.8444613.620403e-06
2.31811.8442073.718494e-06
2.3251.8440453.780500e-06
2.329071.843953.949084e-06
2.340091.8436914.405832e-06
2.351171.8434294.864742e-06
2.362291.8431655.325824e-06
2.373471.8428995.789088e-06
2.384711.842636.254544e-06
2.395991.8423596.722203e-06
2.407331.8420857.192076e-06
2.418721.8418097.664172e-06
2.430171.841538.138502e-06
2.441671.8412498.615077e-06
2.453231.8409649.093908e-06
2.464841.8406789.575005e-06
2.47651.8403881.005838e-05
2.488221.8400961.054404e-05
2.51.8398011.103200e-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
—