Optical constants

Refractive index of P-LASF47 (SCHOTT)

P-LASF47: 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
1.8061
Extinction coefficient k
1.08795e-08
Permittivity ε1
3.26198
Permittivity ε2
3.92987e-08
Absorption coefficient α
0.00232667 cm⁻¹
Penetration depth δ = λ/(2πk)
8.59596e+09 nm
Abbe number Vd
40.9
Chromatic dispersion dn/dλ
-0.100671 µm⁻¹
Group index ng
1.86525
Group velocity dispersion
188.717 fs²/mm
Dispersion parameter D
-1029.55 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

# P-LASF47 (SCHOTT): P-LASF47
schott_p_lasf47 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "P-LASF47", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_p_lasf47.range_nm)  # (334, 2500) nm
eps = schott_p_lasf47.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=1.85543101λ2λ2−0.0100328203+0.315854649λ2λ2−0.0387095168+1.28561839λ2λ2−94.5421507

Valid from 0.334 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.85543101
C30.0100328203
C40.315854649
C50.0387095168
C61.28561839
C794.5421507

Comments and conditions

suitable for precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 7.87e-06 1.09e-08 -1.56e-11 7.58e-07 8.92e-10 0.218
nd
1.8061
Vd
40.9
glass code
806409.454
glass status
standard
density
value: 4538
thermal expansion
value: 6.04e-06, temperature range: 243 343; value: 7.27e-06, temperature range: 293 573
dPgF
-0.0079
resistance
acid: 51.4; stain: 1.0; alkali: 1.0; climatic: 1.0; phosphate: 2.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.25e-06 K⁻¹ at 633 nm, dn/dT = 5.07e-06 K⁻¹ at 1310 nm, dn/dT = 4.96e-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
P-LASF47 (SCHOTT), P-LASF47: n and k versus wavelength
λ (µm)nk
0.3341.8764243.728000e-06
0.3356891.8751973.457890e-06
0.3373871.873993.186413e-06
0.3390931.8728022.913564e-06
0.3408081.8716322.639334e-06
0.3425321.8704812.363718e-06
0.3442641.8693482.086707e-06
0.3460061.8682331.808296e-06
0.3477561.8671341.528476e-06
0.3495141.8660531.247242e-06
0.351.8657581.169600e-06
0.3512821.8649881.112408e-06
0.3530591.8639391.033157e-06
0.3548441.8629059.535058e-07
0.3566391.8618878.734516e-07
0.3584431.8608857.929925e-07
0.3602561.8598977.121265e-07
0.3620781.8589236.308515e-07
0.3639091.8579645.491654e-07
0.3651.8574015.005000e-07
0.365751.8570184.834693e-07
0.3675991.8560874.414376e-07
0.3694591.8551683.991934e-07
0.371.8549043.868900e-07
0.3713271.8542633.654559e-07
0.3732051.8533713.351238e-07
0.3750931.8524913.046383e-07
0.376991.8516242.739986e-07
0.3788961.8507692.432040e-07
0.381.8502822.253800e-07
0.3808131.8499262.188204e-07
0.3827391.8490942.032756e-07
0.3846741.8482751.876522e-07
0.386621.8474661.719498e-07
0.3885751.8466681.561679e-07
0.391.8460961.446700e-07
0.3905411.8458821.425879e-07
0.3925161.8451051.349814e-07
0.3945011.844341.273364e-07
0.3964961.8435851.196527e-07
0.3985021.842841.119302e-07
0.41.8422921.061600e-07
0.4005171.8421041.048564e-07
0.4025431.8413799.974967e-08
0.4045791.8406639.461714e-08
0.4051.8405179.355500e-08
0.4066251.8399579.084891e-08
0.4086811.839268.742393e-08
0.4107481.8385728.398162e-08
0.4128261.8378938.052190e-08
0.4149141.8372237.704468e-08
0.4170121.8365617.354988e-08
0.4191211.8359087.003740e-08
0.421.8356396.857400e-08
0.4212411.8352636.731356e-08
0.4233721.8346276.514979e-08
0.4255131.8339996.297508e-08
0.4276651.8333796.078938e-08
0.4298281.8327665.859261e-08
0.4320021.8321615.638474e-08
0.4341871.8315645.416570e-08
0.4361.8310765.232400e-08
0.4363831.8309745.208085e-08
0.438591.8303925.067817e-08
0.4408081.8298174.926840e-08
0.4430371.8292494.785150e-08
0.4452781.8286884.642743e-08
0.447531.8281344.499616e-08
0.4497941.8275874.355765e-08
0.4520681.8270464.211187e-08
0.4543551.8265124.065877e-08
0.4566531.8259853.919833e-08
0.4589621.8254643.773049e-08
0.461.8252323.707100e-08
0.4612841.8249493.649798e-08
0.4636171.824443.545647e-08
0.4659611.8239373.440970e-08
0.4683181.8234413.335763e-08
0.4706871.822953.230024e-08
0.4730671.8224653.123750e-08
0.475461.8219863.016938e-08
0.4778641.8215132.909587e-08
0.4802811.8210452.801692e-08
0.482711.8205832.693252e-08
0.4851521.8201262.584263e-08
0.4876051.8196742.474723e-08
0.4900721.8192272.364629e-08
0.492551.8187862.253979e-08
0.4950411.818352.142768e-08
0.4975451.8179192.030995e-08
0.51.8175031.921400e-08
0.5000611.8174931.920231e-08
0.5025911.8170711.872095e-08
0.5051321.8166551.823716e-08
0.5076871.8162431.775092e-08
0.5102551.8158361.726222e-08
0.5128361.8154341.677105e-08
0.5154291.8150361.627739e-08
0.5180361.8146421.578124e-08
0.5206561.8142531.528258e-08
0.5232891.8138681.478140e-08
0.5259361.8134881.427768e-08
0.5285961.8131121.377142e-08
0.531271.8127391.326259e-08
0.5339561.8123721.275120e-08
0.5366571.8120081.223721e-08
0.5393711.8116481.172063e-08
0.5420991.8112921.120143e-08
0.5448411.810941.067961e-08
0.5461.8107921.045900e-08
0.5475971.8105911.048962e-08
0.5503661.8102471.054273e-08
0.553151.8099061.059610e-08
0.5559471.8095691.064975e-08
0.5587591.8092361.070367e-08
0.5615851.8089061.075786e-08
0.5644251.8085791.081233e-08
0.567281.8082561.086707e-08
0.5701491.8079371.092209e-08
0.5730331.8076211.097739e-08
0.5759311.8073081.103297e-08
0.5788441.8069981.108882e-08
0.581.8068771.111100e-08
0.5817711.8066921.105704e-08
0.5847141.8063891.096740e-08
0.5876711.8060891.087731e-08
0.5906431.8057921.078676e-08
0.593631.8054991.069575e-08
0.5966331.8052081.060429e-08
0.599651.804921.051236e-08
0.6026831.8046351.041996e-08
0.6057311.8043541.032710e-08
0.6087951.8040741.023377e-08
0.6118741.8037981.013997e-08
0.6149681.8035251.004569e-08
0.6180791.8032549.950934e-09
0.621.8030899.892400e-09
0.6212051.8029869.911632e-09
0.6243461.8027219.961791e-09
0.6275041.8024581.001220e-08
0.6306781.8021981.006287e-08
0.6338681.8019411.011380e-08
0.6370731.8016861.016498e-08
0.6402961.8014331.021642e-08
0.6435341.8011831.026812e-08
0.6467891.8009361.032008e-08
0.650061.8006911.037231e-08
0.6533481.8004481.042479e-08
0.6566521.8002081.047755e-08
0.6599731.7999691.053057e-08
0.661.7999671.053100e-08
0.6633111.7997331.039852e-08
0.6666661.79951.026429e-08
0.6700381.7992681.012937e-08
0.6734261.7990399.993780e-09
0.6768321.7988129.857500e-09
0.6802551.7985879.720530e-09
0.6836961.7983649.582868e-09
0.6871541.7981439.444510e-09
0.6906291.7979249.305452e-09
0.6941221.7977079.165691e-09
0.6976331.7974939.025223e-09
0.71.7973498.930500e-09
0.7011611.797288.923483e-09
0.7047071.7970698.902053e-09
0.7082711.7968598.880513e-09
0.7118541.7966528.858865e-09
0.7154541.7964478.837107e-09
0.7190721.7962438.815240e-09
0.7227091.7960418.793261e-09
0.7263641.7958418.771172e-09
0.7300381.7956438.748970e-09
0.733731.7954468.726657e-09
0.7374411.7952518.704230e-09
0.7411711.7950588.681691e-09
0.7449191.7948668.659037e-09
0.7486871.7946768.636268e-09
0.7524741.7944888.613385e-09
0.7562791.7943018.590386e-09
0.7601041.7941168.567270e-09
0.7639491.7939328.544038e-09
0.7678121.793758.520688e-09
0.7716961.7935698.497219e-09
0.7755991.793398.473633e-09
0.7795211.7932128.449927e-09
0.7834641.7930358.426101e-09
0.7874261.792868.402154e-09
0.7914091.7926868.378087e-09
0.7954111.7925148.353897e-09
0.7994341.7923438.329586e-09
0.8034781.7921738.305151e-09
0.8075411.7920048.280593e-09
0.8116251.7918378.255910e-09
0.815731.7916718.231103e-09
0.8198561.7915068.206170e-09
0.8240031.7913438.181112e-09
0.828171.7911818.155926e-09
0.8323591.7910198.130613e-09
0.8365681.7908598.105172e-09
0.8407991.79078.079602e-09
0.8450521.7905438.053904e-09
0.8493261.7903868.028075e-09
0.8536211.790238.002115e-09
0.8579391.7900767.976024e-09
0.8622781.7899227.949801e-09
0.8666391.789777.923446e-09
0.8710221.7896187.896957e-09
0.8754271.7894677.870335e-09
0.8798551.7893187.843577e-09
0.8843051.7891697.816685e-09
0.8887771.7890227.789656e-09
0.8932721.7888757.762491e-09
0.897791.7887297.735188e-09
0.9023311.7885847.707747e-09
0.9068951.788447.680167e-09
0.9114811.7882967.652448e-09
0.9160911.7881547.624589e-09
0.9207241.7880127.596589e-09
0.9253811.7878717.568447e-09
0.9300611.7877317.540163e-09
0.9347651.7875927.511735e-09
0.9394931.7874547.483164e-09
0.9442451.7873167.454449e-09
0.949021.7871797.425588e-09
0.953821.7870427.396581e-09
0.9586441.7869077.367428e-09
0.9634921.7867717.338127e-09
0.9683651.7866377.308678e-09
0.9732631.7865037.279080e-09
0.9781851.786377.249332e-09
0.9831331.7862387.219434e-09
0.9881051.7861067.189385e-09
0.9931031.7859757.159184e-09
0.9981251.7858447.128829e-09
1.003171.7857147.098322e-09
1.008251.7855847.067660e-09
1.013351.7854557.036843e-09
1.018471.7853267.005870e-09
1.023621.7851986.974741e-09
1.02881.785076.943454e-09
1.0341.7849436.912009e-09
1.039231.7848166.880404e-09
1.044491.784696.848640e-09
1.049771.7845646.816716e-09
1.055081.7844396.784630e-09
1.061.7843236.754900e-09
1.060421.7843136.831756e-09
1.065781.7841897.820729e-09
1.071171.7840648.814703e-09
1.076591.783949.813705e-09
1.082031.7838171.081776e-08
1.087511.7836931.182689e-08
1.093011.783571.284113e-08
1.098531.7834481.386049e-08
1.104091.7833251.488502e-08
1.109671.7832031.591472e-08
1.115291.7830811.694963e-08
1.120931.7829591.798977e-08
1.12661.7828381.903518e-08
1.132291.7827172.008587e-08
1.138021.7825962.114188e-08
1.143781.7824752.220323e-08
1.149561.7823542.326994e-08
1.155371.7822342.434206e-08
1.161221.7821132.541959e-08
1.167091.7819932.650257e-08
1.172991.7818732.759103e-08
1.178931.7817532.868500e-08
1.184891.7816332.978450e-08
1.190881.7815133.088955e-08
1.19691.7813933.200020e-08
1.202961.7812743.311647e-08
1.209041.7811543.423838e-08
1.215161.7810343.536596e-08
1.22131.7809153.649925e-08
1.227481.7807953.763827e-08
1.233691.7806763.878305e-08
1.239931.7805563.993362e-08
1.24621.7804364.109001e-08
1.25251.7803164.225225e-08
1.258841.7801974.342037e-08
1.26521.7800774.459439e-08
1.27161.7799574.577435e-08
1.278031.7798374.696028e-08
1.28451.7797164.815221e-08
1.290991.7795964.935017e-08
1.297521.7794765.055418e-08
1.304091.7793555.176429e-08
1.310681.7792345.298051e-08
1.317311.7791135.420289e-08
1.323971.7789925.543144e-08
1.330671.778875.666621e-08
1.33741.7787495.790723e-08
1.344161.7786275.915452e-08
1.350961.7785056.040813e-08
1.357791.7783826.166807e-08
1.364661.778266.293438e-08
1.371561.7781376.420710e-08
1.37851.7780136.548626e-08
1.385471.777896.677188e-08
1.392481.7777666.806401e-08
1.399521.7776416.936267e-08
1.40661.7775177.066790e-08
1.413711.7773927.197973e-08
1.420861.7772667.329820e-08
1.428051.777147.462333e-08
1.435271.7770147.595517e-08
1.442531.7768877.729374e-08
1.449831.776767.863909e-08
1.457161.7766327.999123e-08
1.464531.7765048.135022e-08
1.471941.7763768.271608e-08
1.479381.7762468.408885e-08
1.486861.7761178.546856e-08
1.494381.7759878.685524e-08
1.501941.7758568.824895e-08
1.509541.7757248.964970e-08
1.517171.7755939.105753e-08
1.524851.775469.247249e-08
1.531.7753719.342300e-08
1.532561.7753279.753927e-08
1.540311.7751931.100148e-07
1.54811.7750591.225534e-07
1.555931.7749241.351554e-07
1.56381.7747881.478212e-07
1.571711.7746511.605510e-07
1.579661.7745141.733452e-07
1.587651.7743761.862041e-07
1.595681.7742381.991281e-07
1.603751.7740982.121174e-07
1.611861.7739582.251724e-07
1.620011.7738172.382934e-07
1.62821.7736752.514808e-07
1.636441.7735332.647349e-07
1.644711.7733892.780560e-07
1.653031.7732452.914445e-07
1.661391.77313.049007e-07
1.669791.7729543.184250e-07
1.678241.7728073.320176e-07
1.686731.7726593.456791e-07
1.695261.772513.594096e-07
1.703831.772363.732095e-07
1.712451.772213.870793e-07
1.721111.7720584.010192e-07
1.729821.7719054.150296e-07
1.738561.7717514.291108e-07
1.747361.7715964.432633e-07
1.756191.771444.574873e-07
1.765081.7712834.717833e-07
1.7741.7711254.861516e-07
1.782981.7709665.005926e-07
1.791991.7708055.151066e-07
1.801061.7706445.296940e-07
1.810171.7704815.443552e-07
1.819321.7703175.590905e-07
1.828521.7701525.739004e-07
1.837771.7699855.887852e-07
1.847071.7698176.037452e-07
1.856411.7696486.187809e-07
1.86581.7694786.338927e-07
1.875231.7693066.490809e-07
1.884721.7691336.643459e-07
1.894251.7689596.796881e-07
1.903831.7687836.951079e-07
1.913461.7686057.106057e-07
1.923141.7684277.261818e-07
1.932861.7682467.418368e-07
1.942641.7680657.575709e-07
1.952461.7678827.733846e-07
1.962341.7676977.892783e-07
1.971.7675538.016100e-07
1.972261.7675118.264514e-07
1.982241.7673239.359481e-07
1.992261.7671331.045999e-06
2.002341.7669421.156606e-06
2.012471.7667491.267772e-06
2.022641.7665551.379501e-06
2.032871.7663591.491795e-06
2.043161.7661611.604656e-06
2.053491.7659611.718089e-06
2.063881.765761.832095e-06
2.074311.7655561.946678e-06
2.08481.7653512.061840e-06
2.095351.7651442.177585e-06
2.105951.7649352.293915e-06
2.11661.7647242.410834e-06
2.12731.7645122.528344e-06
2.138061.7642972.646448e-06
2.148881.764082.765150e-06
2.159741.7638612.884451e-06
2.170671.7636413.004357e-06
2.181641.7634183.124868e-06
2.192681.7631923.245990e-06
2.203771.7629653.367723e-06
2.214911.7627363.490073e-06
2.226121.7625043.613041e-06
2.237381.762273.736631e-06
2.248691.7620343.860847e-06
2.260061.7617953.985690e-06
2.271491.7615554.111165e-06
2.282981.7613114.237275e-06
2.294531.7610664.364022e-06
2.306131.7608174.491410e-06
2.31781.7605674.619443e-06
2.3251.7604114.698500e-06
2.329521.7603144.907958e-06
2.34131.7600585.453861e-06
2.353141.75986.002524e-06
2.365051.7595396.553963e-06
2.377011.7592757.108191e-06
2.389031.7590097.665222e-06
2.401111.7587398.225070e-06
2.413261.7584688.787749e-06
2.425461.7581939.353275e-06
2.437731.7579159.921660e-06
2.450061.7576351.049292e-05
2.462451.7573511.106707e-05
2.47491.7570651.164412e-05
2.487421.7567751.222409e-05
2.51.7564831.280700e-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
—