Optical constants

Refractive index of N-LASF45 (SCHOTT)

N-LASF45: 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
1.80107
Extinction coefficient k
2.71316e-08
Permittivity ε1
3.24384
Permittivity ε2
9.77315e-08
Absorption coefficient α
0.00580234 cm⁻¹
Penetration depth δ = λ/(2πk)
3.44689e+09 nm
Abbe number Vd
34.974
Chromatic dispersion dn/dλ
-0.116019 µm⁻¹
Group index ng
1.86924
Group velocity dispersion
227.001 fs²/mm
Dispersion parameter D
-1238.41 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-LASF45 (SCHOTT): N-LASF45
schott_n_lasf45 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "N-LASF45", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_n_lasf45.range_nm)  # (365, 2500) nm
eps = schott_n_lasf45.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=1.87140198λ2λ2−0.011217192+0.267777879λ2λ2−0.0505134972+1.73030008λ2λ2−147.106505

Valid from 0.365 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.87140198
C30.011217192
C40.267777879
C50.0505134972
C61.73030008
C7147.106505

Comments and conditions

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.78e-06 8.73e-09 -2.65e-11 8.24e-07 1.15e-09 0.255
nd
1.80107
Vd
34.97
glass code
801350.363
glass status
standard
density
value: 3626
thermal expansion
value: 7.36e-06, temperature range: 243 343; value: 8.56e-06, temperature range: 293 573
dPgF
0.0009
resistance
acid: 3.2; 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 = 3.24e-06 K⁻¹ at 633 nm, dn/dT = 1.98e-06 K⁻¹ at 1310 nm, dn/dT = 1.88e-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-LASF45 (SCHOTT), N-LASF45: n and k versus wavelength
λ (µm)nk
0.3651.8636533.268700e-06
0.3667641.8624912.903673e-06
0.3685371.8613472.536882e-06
0.371.8604222.234300e-06
0.3703191.8602232.201395e-06
0.3721091.8591162.016705e-06
0.3739081.8580271.831123e-06
0.3757151.8569551.644643e-06
0.3775321.8558991.457262e-06
0.3793571.8548611.268975e-06
0.381.85451.202600e-06
0.381191.8538381.147785e-06
0.3830331.8528311.062940e-06
0.3848851.8518399.776845e-07
0.3867451.8508638.920167e-07
0.3886151.8499018.059349e-07
0.391.8492017.421600e-07
0.3904941.8489547.297671e-07
0.3923811.848026.823638e-07
0.3942781.8471016.347313e-07
0.3961841.8461945.868686e-07
0.3980991.8453025.387746e-07
0.41.8444324.910400e-07
0.4000241.8444224.907215e-07
0.4019571.8435544.645966e-07
0.40391.84274.383455e-07
0.4051.8422234.234900e-07
0.4058531.8418574.144960e-07
0.4078151.8410263.938068e-07
0.4097861.8402073.730177e-07
0.4117671.83943.521280e-07
0.4137581.8386043.311374e-07
0.4157581.8378193.100453e-07
0.4177681.8370442.888513e-07
0.4197871.8362812.675548e-07
0.421.8362012.653100e-07
0.4218161.8355282.571316e-07
0.4238561.8347852.479506e-07
0.4259041.8340522.387252e-07
0.4279631.8333292.294552e-07
0.4300321.8326152.201404e-07
0.4321111.8319112.107806e-07
0.43421.8312172.013755e-07
0.4361.8306281.932700e-07
0.4362991.8305311.924833e-07
0.4384081.8298551.869294e-07
0.4405271.8291881.813486e-07
0.4426571.8285291.757408e-07
0.4447971.8278791.701059e-07
0.4469471.8272371.644437e-07
0.4491071.8266031.587542e-07
0.4512781.8259781.530372e-07
0.453461.825361.472926e-07
0.4556521.8247511.415201e-07
0.4578551.8241491.357198e-07
0.461.8235721.300700e-07
0.4600681.8235541.299653e-07
0.4622921.8229671.265302e-07
0.4645271.8223881.230786e-07
0.4667721.8218151.196103e-07
0.4690291.821251.161252e-07
0.4712961.8206921.126233e-07
0.4735741.8201411.091044e-07
0.4758631.8195961.055686e-07
0.4781641.8190581.020156e-07
0.4804751.8185269.844545e-08
0.4827981.8180019.485806e-08
0.4851321.8174839.125332e-08
0.4874771.816978.763116e-08
0.4898331.8164648.399148e-08
0.4922011.8159648.033422e-08
0.4945811.8154697.665927e-08
0.4969721.8149817.296656e-08
0.4993741.8144986.925600e-08
0.51.8143746.828900e-08
0.5017881.8140216.686173e-08
0.5042141.813556.492535e-08
0.5066511.8130846.297961e-08
0.50911.8126246.102446e-08
0.5115611.8121695.905987e-08
0.5140341.8117195.708577e-08
0.5165191.8112745.510214e-08
0.5190161.8108355.310891e-08
0.5215251.81045.110605e-08
0.5240461.809974.909351e-08
0.5265791.8095464.707124e-08
0.5291251.8091264.503919e-08
0.5316831.8087114.299732e-08
0.5342531.8083014.094558e-08
0.5368351.8078953.888392e-08
0.5394311.8074943.681230e-08
0.5420381.8070973.473066e-08
0.5446581.8067043.263896e-08
0.5461.8065063.156800e-08
0.5472911.8063163.135762e-08
0.5499371.8059333.092662e-08
0.5525951.8055533.049353e-08
0.5552671.8051783.005834e-08
0.5579511.8048072.962106e-08
0.5606481.804442.918165e-08
0.5633581.8040772.874013e-08
0.5660821.8037172.829647e-08
0.5688181.8033622.785066e-08
0.5715681.8030112.740270e-08
0.5743311.8026632.695258e-08
0.5771071.8023192.650028e-08
0.5798971.8019792.604579e-08
0.581.8019662.602900e-08
0.58271.8016422.642073e-08
0.5855171.8013092.682938e-08
0.5883471.8009792.724001e-08
0.5911921.8006532.765262e-08
0.5940491.800332.806722e-08
0.5969211.8000112.848383e-08
0.5998071.7996952.890245e-08
0.6027061.7993822.932310e-08
0.605621.7990732.974578e-08
0.6085471.7987673.017050e-08
0.6114891.7984643.059728e-08
0.6144451.7981643.102612e-08
0.6174151.7978673.145703e-08
0.621.7976123.183200e-08
0.62041.7975733.178858e-08
0.6233991.7972823.146303e-08
0.6264131.7969943.113591e-08
0.6294411.7967093.080721e-08
0.6324831.7964273.047692e-08
0.6355411.7961483.014503e-08
0.6386131.7958712.981154e-08
0.64171.7955982.947643e-08
0.6448021.7953272.913971e-08
0.6479191.7950582.880135e-08
0.6510511.7947922.846136e-08
0.6541991.7945292.811973e-08
0.6573611.7942692.777645e-08
0.661.7940542.749000e-08
0.6605391.7940112.742135e-08
0.6637321.7937552.701455e-08
0.666941.7935022.660578e-08
0.6701651.7932522.619504e-08
0.6734041.7930042.578231e-08
0.6766591.7927582.536759e-08
0.679931.7925152.495086e-08
0.6832171.7922742.453212e-08
0.686521.7920352.411135e-08
0.6898391.7917982.368855e-08
0.6931731.7915642.326370e-08
0.6965241.7913322.283681e-08
0.6998911.7911022.240784e-08
0.71.7910942.239400e-08
0.7032751.7908742.228251e-08
0.7066741.7906482.216676e-08
0.710091.7904252.205045e-08
0.7135231.7902032.193358e-08
0.7169721.7899832.181614e-08
0.7204381.7897662.169814e-08
0.7239211.789552.157956e-08
0.727421.7893372.146041e-08
0.7309371.7891252.134069e-08
0.734471.7889152.122039e-08
0.7380211.7887072.109950e-08
0.7415881.7885012.097803e-08
0.7451731.7882962.085598e-08
0.7487751.7880942.073333e-08
0.7523951.7878932.061009e-08
0.7560321.7876942.048626e-08
0.7596871.7874972.036183e-08
0.7633591.7873012.023679e-08
0.7670491.7871072.011115e-08
0.7707571.7869151.998491e-08
0.7744831.7867241.985805e-08
0.7782271.7865351.973058e-08
0.7819891.7863481.960250e-08
0.7857691.7861621.947379e-08
0.7895681.7859771.934446e-08
0.7933851.7857951.921451e-08
0.797221.7856131.908393e-08
0.8010741.7854331.895272e-08
0.8049461.7852551.882087e-08
0.8088371.7850781.868839e-08
0.8127471.7849021.855526e-08
0.8166761.7847281.842150e-08
0.8206241.7845551.828708e-08
0.8245911.7843841.815202e-08
0.8285771.7842141.801630e-08
0.8325831.7840451.787993e-08
0.8366071.7838771.774290e-08
0.8406521.7837111.760520e-08
0.8447151.7835461.746684e-08
0.8487991.7833821.732781e-08
0.8529021.783221.718811e-08
0.8570251.7830581.704774e-08
0.8611681.7828981.690668e-08
0.8653311.7827391.676494e-08
0.8695141.7825811.662252e-08
0.8737171.7824251.647941e-08
0.8779411.7822691.633561e-08
0.8821851.7821141.619111e-08
0.8864491.7819611.604592e-08
0.8907351.7818091.590002e-08
0.895041.7816571.575341e-08
0.8993671.7815071.560610e-08
0.9037151.7813581.545808e-08
0.9080831.7812091.530934e-08
0.9124731.7810621.515988e-08
0.9168841.7809161.500970e-08
0.9213161.780771.485879e-08
0.925771.7806261.470716e-08
0.9302451.7804821.455479e-08
0.9347421.780341.440168e-08
0.9392611.7801981.424783e-08
0.9438011.7800571.409324e-08
0.9483641.7799171.393791e-08
0.9529481.7797781.378182e-08
0.9575551.779641.362498e-08
0.9621841.7795021.346738e-08
0.9668351.7793651.330901e-08
0.9715091.7792291.314988e-08
0.9762051.7790941.298999e-08
0.9809241.778961.282932e-08
0.9856661.7788261.266787e-08
0.9904311.7786931.250564e-08
0.9952191.7785611.234263e-08
1.000031.7784291.217883e-08
1.004861.7782981.201424e-08
1.009721.7781681.184885e-08
1.01461.7780381.168266e-08
1.019511.777911.151567e-08
1.024441.7777811.134788e-08
1.029391.7776541.117927e-08
1.034361.7775261.100984e-08
1.039361.77741.083960e-08
1.044391.7772741.066854e-08
1.049441.7771491.049664e-08
1.054511.7770241.032392e-08
1.059611.77691.015036e-08
1.061.776891.013700e-08
1.064731.7767761.062666e-08
1.069881.7766531.115952e-08
1.075051.776531.169495e-08
1.080251.7764081.223297e-08
1.085471.7762861.277359e-08
1.090711.7761641.331682e-08
1.095991.7760441.386268e-08
1.101291.7759231.441118e-08
1.106611.7758031.496233e-08
1.111961.7756831.551614e-08
1.117331.7755641.607263e-08
1.122741.7754451.663181e-08
1.128161.7753271.719370e-08
1.133621.7752091.775830e-08
1.13911.7750911.832563e-08
1.14461.7749741.889570e-08
1.150141.7748571.946853e-08
1.15571.774742.004413e-08
1.161281.7746232.062251e-08
1.16691.7745072.120368e-08
1.172541.7743912.178767e-08
1.17821.7742762.237448e-08
1.18391.774162.296412e-08
1.189621.7740452.355662e-08
1.195371.773932.415198e-08
1.201151.7738152.475021e-08
1.206961.7737012.535134e-08
1.212791.7735872.595538e-08
1.218661.7734722.656233e-08
1.224551.7733582.717222e-08
1.230471.7732452.778506e-08
1.236421.7731312.840086e-08
1.242391.7730172.901964e-08
1.24841.7729042.964141e-08
1.254431.7727913.026618e-08
1.26051.7726783.089397e-08
1.266591.7725653.152480e-08
1.272711.7724523.215868e-08
1.278871.7723393.279562e-08
1.285051.7722263.343564e-08
1.291261.7721133.407876e-08
1.29751.7723.472498e-08
1.303771.7718873.537433e-08
1.310081.7717753.602682e-08
1.316411.7716623.668246e-08
1.322771.7715493.734127e-08
1.329171.7714363.800327e-08
1.335591.7713243.866846e-08
1.342051.7712113.933687e-08
1.348541.7710984.000852e-08
1.355061.7709854.068341e-08
1.361611.7708724.136156e-08
1.368191.7707594.204299e-08
1.37481.7706454.272771e-08
1.381451.7705324.341574e-08
1.388131.7704184.410710e-08
1.394841.7703054.480181e-08
1.401581.7701914.549987e-08
1.408351.7700774.620130e-08
1.415161.7699634.690613e-08
1.4221.7698494.761436e-08
1.428881.7697344.832602e-08
1.435781.7696194.904111e-08
1.442731.7695044.975967e-08
1.44971.7693895.048169e-08
1.456711.7692745.120721e-08
1.463751.7691585.193623e-08
1.470831.7690425.266878e-08
1.477941.7689265.340487e-08
1.485081.768815.414452e-08
1.492261.7686935.488775e-08
1.499471.7685765.563456e-08
1.506721.7684585.638499e-08
1.5141.7683415.713904e-08
1.521321.7682235.789674e-08
1.528681.7681045.865810e-08
1.531.7680835.879500e-08
1.536071.7679856.407373e-08
1.543491.7678667.053397e-08
1.550951.7677467.702544e-08
1.558451.7676268.354829e-08
1.565991.7675069.010267e-08
1.573561.7673859.668873e-08
1.581161.7672641.033066e-07
1.588811.7671421.099565e-07
1.596491.767021.166386e-07
1.60421.7668971.233529e-07
1.611961.7667741.300997e-07
1.619751.766651.368791e-07
1.627581.7665261.436913e-07
1.635451.7664011.505364e-07
1.643351.7662761.574146e-07
1.65131.766151.643261e-07
1.659281.7660231.712709e-07
1.66731.7658961.782494e-07
1.675361.7657691.852615e-07
1.683461.765641.923076e-07
1.69161.7655121.993877e-07
1.699781.7653822.065021e-07
1.707991.7652522.136509e-07
1.716251.7651212.208342e-07
1.724551.764992.280522e-07
1.732881.7648572.353051e-07
1.741261.7647242.425931e-07
1.749681.7645912.499163e-07
1.758131.7644562.572749e-07
1.766631.7643212.646691e-07
1.775171.7641852.720990e-07
1.783761.7640492.795649e-07
1.792381.7639112.870668e-07
1.801041.7637732.946050e-07
1.809751.7636343.021797e-07
1.81851.7634943.097909e-07
1.827291.7633533.174390e-07
1.836121.7632123.251240e-07
1.8451.7630693.328462e-07
1.853921.7629263.406057e-07
1.862881.7627823.484027e-07
1.871881.7626363.562374e-07
1.880931.762493.641100e-07
1.890021.7623433.720206e-07
1.899161.7621953.799695e-07
1.908341.7620463.879568e-07
1.917571.7618963.959827e-07
1.926841.7617454.040474e-07
1.936151.7615934.121511e-07
1.945511.7614394.202940e-07
1.954921.7612854.284762e-07
1.964371.761134.366980e-07
1.971.7610374.416000e-07
1.973861.7609734.627958e-07
1.98341.7608165.151708e-07
1.992991.7606575.677991e-07
2.002631.7604976.206817e-07
2.012311.7603366.738200e-07
2.022031.7601747.272151e-07
2.031811.760017.808684e-07
2.041631.7598468.347810e-07
2.05151.759688.889542e-07
2.061421.7595139.433893e-07
2.071381.7593449.980876e-07
2.08141.7591741.053050e-06
2.091461.7590031.108279e-06
2.101571.7588311.163774e-06
2.111731.7586571.219538e-06
2.121931.7584821.275571e-06
2.132191.7583051.331875e-06
2.14251.7581281.388451e-06
2.152861.7579481.445301e-06
2.163261.7577671.502425e-06
2.173721.7575851.559826e-06
2.184231.7574011.617504e-06
2.194791.7572161.675461e-06
2.20541.7570291.733698e-06
2.216061.7568411.792217e-06
2.226771.7566511.851019e-06
2.237541.7564591.910104e-06
2.248351.7562661.969476e-06
2.259221.7560712.029134e-06
2.270141.7558742.089081e-06
2.281121.7556762.149318e-06
2.292141.7554762.209846e-06
2.303221.7552752.270666e-06
2.314361.7550712.331780e-06
2.3251.7548762.390200e-06
2.325541.7548662.396211e-06
2.336791.7546592.520250e-06
2.348081.754452.644889e-06
2.359431.7542392.770131e-06
2.370841.7540272.895978e-06
2.38231.7538123.022433e-06
2.393821.7535963.149500e-06
2.405391.7533773.277181e-06
2.417021.7531573.405479e-06
2.42871.7529353.534397e-06
2.440441.752713.663939e-06
2.452241.7524843.794106e-06
2.464091.7522553.924903e-06
2.4761.7520244.056332e-06
2.487971.7517924.188397e-06
2.51.7515574.321100e-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
—