Optical constants

Refractive index of N-LASF40 (SCHOTT)

N-LASF40: n,k 0.365–2.5 µm

Data
formula 2 + tabulated k
Range
0.365–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.5 µm
Refractive index n
1.83404
Extinction coefficient k
1.46455e-08
Permittivity ε1
3.3637
Permittivity ε2
5.37207e-08
Absorption coefficient α
0.00313207 cm⁻¹
Penetration depth δ = λ/(2πk)
6.38556e+09 nm
Abbe number Vd
37.296
Chromatic dispersion dn/dλ
-0.113641 µm⁻¹
Group index ng
1.90082
Group velocity dispersion
218.689 fs²/mm
Dispersion parameter D
-1193.06 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-LASF40 (SCHOTT): N-LASF40
schott_n_lasf40 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-LASF40", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_lasf40.range_nm)  # (365, 2500) nm
eps = schott_n_lasf40.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=1.98550331λ2λ2−0.010958331+0.274057042λ2λ2−0.0474551603+1.28945661λ2λ2−96.9085286

Valid from 0.365 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.98550331
C30.010958331
C40.274057042
C50.0474551603
C61.28945661
C796.9085286

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 8.1e-06 1.25e-08 -1.73e-11 8.27e-07 1.08e-09 0.238
nd
1.83404
Vd
37.3
glass code
834373.443
glass status
standard
density
value: 4430
thermal expansion
value: 5.84e-06, temperature range: 243 343; value: 6.9e-06, temperature range: 293 573
dPgF
-0.0024
resistance
acid: 51.2; 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 = 6.74e-06 K⁻¹ at 633 nm, dn/dT = 5.38e-06 K⁻¹ at 1310 nm, dn/dT = 5.26e-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 418 wavelengths, the same grid as the API and the library
N-LASF40 (SCHOTT), N-LASF40: n and k versus wavelength
λ (µm)nk
0.3651.8940362.204100e-06
0.3667641.8929461.955350e-06
0.3685371.8918731.705397e-06
0.371.8910051.499200e-06
0.3703191.8908171.477361e-06
0.3721091.8897771.354782e-06
0.3739081.8887521.231611e-06
0.3757151.8877431.107844e-06
0.3775321.8867499.834793e-07
0.3793571.8857698.585132e-07
0.381.8854288.144600e-07
0.381191.8848047.811646e-07
0.3830331.8838537.296279e-07
0.3848851.8829156.778420e-07
0.3867451.8819926.258058e-07
0.3886151.8810815.735181e-07
0.391.8804185.347800e-07
0.3904941.8801845.264649e-07
0.3923811.8792994.946595e-07
0.3942781.8784264.627003e-07
0.3961841.8775664.305866e-07
0.3980991.8767183.983177e-07
0.41.8758923.662900e-07
0.4000241.8758823.660732e-07
0.4019571.8750573.482905e-07
0.40391.8742433.304218e-07
0.4051.873793.203100e-07
0.4058531.8734413.144512e-07
0.4078151.872653.009741e-07
0.4097861.8718692.874318e-07
0.4117671.8710982.738241e-07
0.4137581.8703382.601506e-07
0.4157581.8695892.464110e-07
0.4177681.8688492.326050e-07
0.4197871.8681192.187323e-07
0.421.8680422.172700e-07
0.4218161.8673982.109648e-07
0.4238561.8666872.038866e-07
0.4259041.8659851.967742e-07
0.4279631.8652931.896274e-07
0.4300321.8646091.824460e-07
0.4321111.8639341.752300e-07
0.43421.8632671.679790e-07
0.4361.8627021.617300e-07
0.4362991.862611.609808e-07
0.4384081.861961.556914e-07
0.4405271.8613191.503763e-07
0.4426571.8606861.450356e-07
0.4447971.860061.396691e-07
0.4469471.8594431.342766e-07
0.4491071.8588331.288581e-07
0.4512781.8582311.234134e-07
0.453461.8576361.179423e-07
0.4556521.8570491.124448e-07
0.4578551.8564681.069207e-07
0.461.8559121.015400e-07
0.4600681.8558951.014528e-07
0.4622921.8553299.859382e-08
0.4645271.8547699.572099e-08
0.4667721.8542179.283427e-08
0.4690291.8536718.993360e-08
0.4712961.8531318.701891e-08
0.4735741.8525988.409012e-08
0.4758631.8520728.114718e-08
0.4781641.8515517.819001e-08
0.4804751.8510377.521855e-08
0.4827981.8505297.223272e-08
0.4851321.8500276.923245e-08
0.4874771.849536.621769e-08
0.4898331.849046.318835e-08
0.4922011.8485556.014437e-08
0.4945811.8480765.708567e-08
0.4969721.8476025.401218e-08
0.4993741.8471345.092384e-08
0.51.8470135.011900e-08
0.5017881.8466714.898650e-08
0.5042141.8462134.745004e-08
0.5066511.8457614.590616e-08
0.50911.8453134.435481e-08
0.5115611.8448714.279596e-08
0.5140341.8444344.122958e-08
0.5165191.8440023.965563e-08
0.5190161.8435743.807406e-08
0.5215251.8431513.648485e-08
0.5240461.8427333.488796e-08
0.5265791.842323.328335e-08
0.5291251.8419113.167098e-08
0.5316831.8415073.005082e-08
0.5342531.8411072.842283e-08
0.5368351.8407122.678696e-08
0.5394311.8403212.514319e-08
0.5420381.8399342.349147e-08
0.5446581.8395512.183177e-08
0.5461.8393572.098200e-08
0.5472911.8391722.074830e-08
0.5499371.8387982.026952e-08
0.5525951.8384281.978842e-08
0.5552671.8380611.930500e-08
0.5579511.8376991.881924e-08
0.5606481.837341.833113e-08
0.5633581.8369851.784066e-08
0.5660821.8366341.734782e-08
0.5688181.8362871.685259e-08
0.5715681.8359431.635498e-08
0.5743311.8356031.585496e-08
0.5771071.8352661.535252e-08
0.5798971.8349331.484765e-08
0.581.8349211.482900e-08
0.58271.8346041.476379e-08
0.5855171.8342771.469576e-08
0.5883471.8339551.462741e-08
0.5911921.8336351.455872e-08
0.5940491.8333191.448971e-08
0.5969211.8330061.442035e-08
0.5998071.8326961.435067e-08
0.6027061.8323891.428065e-08
0.605621.8320861.421028e-08
0.6085471.8317851.413958e-08
0.6114891.8314881.406854e-08
0.6144451.8311941.399715e-08
0.6174151.8309021.392542e-08
0.621.8306521.386300e-08
0.62041.8306131.385080e-08
0.6233991.8303281.375933e-08
0.6264131.8300451.366742e-08
0.6294411.8297651.357506e-08
0.6324831.8294871.348225e-08
0.6355411.8292131.338900e-08
0.6386131.8289411.329530e-08
0.64171.8286711.320114e-08
0.6448021.8284041.310653e-08
0.6479191.828141.301146e-08
0.6510511.8278791.291593e-08
0.6541991.827621.281994e-08
0.6573611.8273631.272349e-08
0.661.8271521.264300e-08
0.6605391.8271091.259299e-08
0.6637321.8268571.229663e-08
0.666941.8266071.199884e-08
0.6701651.826361.169960e-08
0.6734041.8261161.139893e-08
0.6766591.8258731.109680e-08
0.679931.8256331.079320e-08
0.6832171.8253951.048814e-08
0.686521.8251591.018161e-08
0.6898391.8249259.873595e-09
0.6931731.8246949.564090e-09
0.6965241.8244649.253089e-09
0.6998911.8242378.940585e-09
0.71.824238.930500e-09
0.7032751.8240129.003111e-09
0.7066741.8237899.078494e-09
0.710091.8235679.154242e-09
0.7135231.8233489.230356e-09
0.7169721.8231319.306838e-09
0.7204381.8229159.383689e-09
0.7239211.8227029.460912e-09
0.727421.822499.538508e-09
0.7309371.822289.616480e-09
0.734471.8220729.694828e-09
0.7380211.8218669.773555e-09
0.7415881.8216619.852663e-09
0.7451731.8214599.932153e-09
0.7487751.8212581.001203e-08
0.7523951.8210581.009229e-08
0.7560321.820861.017294e-08
0.7596871.8206641.025397e-08
0.7633591.820471.033540e-08
0.7670491.8202771.041723e-08
0.7707571.8200861.049945e-08
0.7744831.8198961.058206e-08
0.7782271.8197081.066508e-08
0.7819891.8195221.074850e-08
0.7857691.8193371.083232e-08
0.7895681.8191531.091654e-08
0.7933851.8189711.100118e-08
0.797221.818791.108622e-08
0.8010741.8186111.117167e-08
0.8049461.8184331.125754e-08
0.8088371.8182561.134382e-08
0.8127471.8180811.143052e-08
0.8166761.8179071.151763e-08
0.8206241.8177341.160517e-08
0.8245911.8175631.169313e-08
0.8285771.8173931.178152e-08
0.8325831.8172241.187034e-08
0.8366071.8170561.195958e-08
0.8406521.816891.204925e-08
0.8447151.8167251.213936e-08
0.8487991.8165611.222991e-08
0.8529021.8163981.232089e-08
0.8570251.8162361.241231e-08
0.8611681.8160761.250417e-08
0.8653311.8159161.259648e-08
0.8695141.8157581.268924e-08
0.8737171.81561.278244e-08
0.8779411.8154441.287609e-08
0.8821851.8152891.297020e-08
0.8864491.8151351.306476e-08
0.8907351.8149821.315977e-08
0.895041.8148291.325525e-08
0.8993671.8146781.335119e-08
0.9037151.8145281.344759e-08
0.9080831.8143781.354446e-08
0.9124731.814231.364180e-08
0.9168841.8140831.373960e-08
0.9213161.8139361.383788e-08
0.925771.813791.393664e-08
0.9302451.8136451.403587e-08
0.9347421.8135011.413558e-08
0.9392611.8133581.423578e-08
0.9438011.8132151.433645e-08
0.9483641.8130741.443762e-08
0.9529481.8129331.453927e-08
0.9575551.8127931.464142e-08
0.9621841.8126541.474406e-08
0.9668351.8125151.484719e-08
0.9715091.8123771.495083e-08
0.9762051.812241.505496e-08
0.9809241.8121031.515960e-08
0.9856661.8119681.526474e-08
0.9904311.8118331.537040e-08
0.9952191.8116981.547656e-08
1.000031.8115641.558324e-08
1.004861.8114311.569043e-08
1.009721.8112981.579814e-08
1.01461.8111661.590637e-08
1.019511.8110351.601512e-08
1.024441.8109041.612440e-08
1.029391.8107741.623421e-08
1.034361.8106441.634455e-08
1.039361.8105151.645542e-08
1.044391.8103861.656683e-08
1.049441.8102581.667878e-08
1.054511.810131.679127e-08
1.059611.8100031.690430e-08
1.061.8099931.691300e-08
1.064731.8098761.763301e-08
1.069881.809751.841654e-08
1.075051.8096241.920385e-08
1.080251.8094981.999496e-08
1.085471.8093732.078991e-08
1.090711.8092482.158869e-08
1.095991.8091242.239134e-08
1.101291.8092.319786e-08
1.106611.8088762.400829e-08
1.111961.8087532.482263e-08
1.117331.808632.564091e-08
1.122741.8085082.646315e-08
1.128161.8083852.728936e-08
1.133621.8082632.811956e-08
1.13911.8081422.895378e-08
1.14461.808022.979203e-08
1.150141.8078993.063433e-08
1.15571.8077783.148070e-08
1.161281.8076573.233117e-08
1.16691.8075373.318574e-08
1.172541.8074163.404445e-08
1.17821.8072963.490731e-08
1.18391.8071763.577434e-08
1.189621.8070573.664556e-08
1.195371.8069373.752099e-08
1.201151.8068183.840065e-08
1.206961.8066983.928457e-08
1.212791.8065794.017276e-08
1.218661.806464.106524e-08
1.224551.8063414.196204e-08
1.230471.8062224.286317e-08
1.236421.8061034.376866e-08
1.242391.8059844.467853e-08
1.24841.8058664.559279e-08
1.254431.8057474.651147e-08
1.26051.8056284.743460e-08
1.266591.805514.836219e-08
1.272711.8053914.929426e-08
1.278871.8052725.023083e-08
1.285051.8051545.117194e-08
1.291261.8050355.211759e-08
1.29751.8049165.306782e-08
1.303771.8047975.402264e-08
1.310081.8046785.498207e-08
1.316411.8045595.594614e-08
1.322771.804445.691487e-08
1.329171.8043215.788829e-08
1.335591.8042015.886641e-08
1.342051.8040825.984926e-08
1.348541.8039626.083686e-08
1.355061.8038436.182924e-08
1.361611.8037236.282641e-08
1.368191.8036026.382840e-08
1.37481.8034826.483524e-08
1.381451.8033626.584694e-08
1.388131.8032416.686353e-08
1.394841.803126.788504e-08
1.401581.8029986.891149e-08
1.408351.8028776.994290e-08
1.415161.8027557.097929e-08
1.4221.8026337.202069e-08
1.428881.8025117.306713e-08
1.435781.8023887.411863e-08
1.442731.8022657.517521e-08
1.44971.8021427.623690e-08
1.456711.8020187.730372e-08
1.463751.8018947.837569e-08
1.470831.801777.945285e-08
1.477941.8016458.053522e-08
1.485081.801528.162281e-08
1.492261.8013948.271567e-08
1.499471.8012688.381381e-08
1.506721.8011418.491726e-08
1.5141.8010148.602604e-08
1.521321.8008878.714018e-08
1.528681.8007598.825970e-08
1.531.8007368.846100e-08
1.536071.8006319.539620e-08
1.543491.8005021.038837e-07
1.550951.8003721.124121e-07
1.558451.8002421.209819e-07
1.565991.8001121.295930e-07
1.573561.7999811.382458e-07
1.581161.7998491.469404e-07
1.588811.7997171.556770e-07
1.596491.7995841.644558e-07
1.60421.7994511.732771e-07
1.611961.7993171.821411e-07
1.619751.7991821.910479e-07
1.627581.7990471.999977e-07
1.635451.7989112.089908e-07
1.643351.7987742.180274e-07
1.65131.7986362.271077e-07
1.659281.7984982.362318e-07
1.66731.7983592.454001e-07
1.675361.798222.546127e-07
1.683461.7980792.638698e-07
1.69161.7979382.731717e-07
1.699781.7977962.825185e-07
1.707991.7976532.919105e-07
1.716251.797513.013480e-07
1.724551.7973653.108310e-07
1.732881.797223.203599e-07
1.741261.7970743.299348e-07
1.749681.7969273.395561e-07
1.758131.7967793.492238e-07
1.766631.796633.589383e-07
1.775171.796483.686997e-07
1.783761.7963293.785084e-07
1.792381.7961773.883644e-07
1.801041.7960243.982681e-07
1.809751.7958714.082197e-07
1.81851.7957164.182193e-07
1.827291.795564.282673e-07
1.836121.7954034.383639e-07
1.8451.7952454.485093e-07
1.853921.7950864.587037e-07
1.862881.7949264.689474e-07
1.871881.7947654.792407e-07
1.880931.7946024.895837e-07
1.890021.7944384.999767e-07
1.899161.7942745.104199e-07
1.908341.7941085.209136e-07
1.917571.793945.314580e-07
1.926841.7937725.420534e-07
1.936151.7936025.527001e-07
1.945511.7934315.633982e-07
1.954921.7932595.741480e-07
1.964371.7930855.849498e-07
1.971.7929815.913900e-07
1.973861.792916.274325e-07
1.98341.7927347.164940e-07
1.992991.7925568.059860e-07
2.002631.7923778.959107e-07
2.012311.7921969.862700e-07
2.022031.7920141.077066e-06
2.031811.7918311.168301e-06
2.041631.7916461.259977e-06
2.05151.7914591.352097e-06
2.061421.7912711.444661e-06
2.071381.7910821.537673e-06
2.08141.7908911.631135e-06
2.091461.7906981.725048e-06
2.101571.7905041.819416e-06
2.111731.7903071.914239e-06
2.121931.790112.009521e-06
2.132191.789912.105264e-06
2.14251.7897092.201469e-06
2.152861.7895062.298140e-06
2.163261.7893022.395278e-06
2.173721.7890952.492885e-06
2.184231.7888872.590964e-06
2.194791.7886772.689518e-06
2.20541.7884652.788547e-06
2.216061.7882512.888056e-06
2.226771.7880352.988045e-06
2.237541.7878183.088518e-06
2.248351.7875983.189477e-06
2.259221.7873763.290923e-06
2.270141.7871533.392860e-06
2.281121.7869273.495290e-06
2.292141.7866993.598215e-06
2.303221.7864693.701637e-06
2.314361.7862373.805560e-06
2.3251.7860143.904900e-06
2.325541.7860023.928098e-06
2.336791.7857664.406814e-06
2.348081.7855274.887845e-06
2.359431.7852865.371202e-06
2.370841.7850425.856895e-06
2.38231.7847976.344935e-06
2.393821.7845496.835335e-06
2.405391.7842987.328106e-06
2.417021.7840457.823258e-06
2.42871.783798.320805e-06
2.440441.7835328.820756e-06
2.452241.7832719.323124e-06
2.464091.7830089.827921e-06
2.4761.7827431.033516e-05
2.487971.7824741.084485e-05
2.51.7822041.135700e-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
—