Optical constants

Refractive index of P-LASF51 (SCHOTT)

P-LASF51: 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
1.81
Extinction coefficient k
1.50234e-08
Permittivity ε1
3.27609
Permittivity ε2
5.43845e-08
Absorption coefficient α
0.00321289 cm⁻¹
Penetration depth δ = λ/(2πk)
6.22493e+09 nm
Abbe number Vd
40.925
Chromatic dispersion dn/dλ
-0.101097 µm⁻¹
Group index ng
1.8694
Group velocity dispersion
189.584 fs²/mm
Dispersion parameter D
-1034.28 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-LASF51 (SCHOTT): P-LASF51
schott_p_lasf51 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "P-LASF51", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_p_lasf51.range_nm)  # (334, 2500) nm
eps = schott_p_lasf51.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=1.84568806λ2λ2−0.00988495571+0.3390016λ2λ2−0.0378097402+1.32418921λ2λ2−97.841543

Valid from 0.334 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.84568806
C30.00988495571
C40.3390016
C50.0378097402
C61.32418921
C797.841543

Comments and conditions

suitable for precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 7.79e-06 1.1e-08 -2.03e-11 7.86e-07 8.78e-10 0.215
nd
1.81
Vd
40.93
glass code
810409.458
glass status
standard
density
value: 4579
thermal expansion
value: 6.01e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
-0.008
resistance
acid: 51.3; 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 = 6.27e-06 K⁻¹ at 633 nm, dn/dT = 5.05e-06 K⁻¹ at 1310 nm, dn/dT = 4.94e-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-LASF51 (SCHOTT), P-LASF51: n and k versus wavelength
λ (µm)nk
0.3341.880543.728000e-06
0.3356891.8793123.457890e-06
0.3373871.8781043.186413e-06
0.3390931.8769152.913564e-06
0.3408081.8757452.639334e-06
0.3425321.8745922.363718e-06
0.3442641.8734582.086707e-06
0.3460061.8723411.808296e-06
0.3477561.8712411.528476e-06
0.3495141.8701571.247242e-06
0.351.8698621.169600e-06
0.3512821.869091.112408e-06
0.3530591.8680391.033157e-06
0.3548441.8670049.535058e-07
0.3566391.8659848.734516e-07
0.3584431.8649797.929925e-07
0.3602561.8639897.121265e-07
0.3620781.8630146.308515e-07
0.3639091.8620525.491654e-07
0.3651.8614885.005000e-07
0.365751.8611054.834693e-07
0.3675991.8601714.414376e-07
0.3694591.859253.991934e-07
0.371.8589863.868900e-07
0.3713271.8583433.654559e-07
0.3732051.8574483.351238e-07
0.3750931.8565663.046383e-07
0.376991.8556972.739986e-07
0.3788961.8548392.432040e-07
0.381.854352.253800e-07
0.3808131.8539942.188204e-07
0.3827391.853162.032756e-07
0.3846741.8523371.876522e-07
0.386621.8515261.719498e-07
0.3885751.8507261.561679e-07
0.391.8501531.446700e-07
0.3905411.8499371.425879e-07
0.3925161.8491591.349814e-07
0.3945011.8483911.273364e-07
0.3964961.8476331.196527e-07
0.3985021.8468861.119302e-07
0.41.8463361.061600e-07
0.4005171.8461481.048564e-07
0.4025431.845429.974967e-08
0.4045791.8447029.461714e-08
0.4051.8445559.355500e-08
0.4066251.8439939.084891e-08
0.4086811.8432948.742393e-08
0.4107481.8426038.398162e-08
0.4128261.8419228.052190e-08
0.4149141.8412497.704468e-08
0.4170121.8405857.354988e-08
0.4191211.839937.003740e-08
0.421.839666.857400e-08
0.4212411.8392836.731356e-08
0.4233721.8386446.514979e-08
0.4255131.8380146.297508e-08
0.4276651.8373916.078938e-08
0.4298281.8367765.859261e-08
0.4320021.8361695.638474e-08
0.4341871.835575.416570e-08
0.4361.835085.232400e-08
0.4363831.8349785.208085e-08
0.438591.8343935.067817e-08
0.4408081.8338164.926840e-08
0.4430371.8332464.785150e-08
0.4452781.8326834.642743e-08
0.447531.8321264.499616e-08
0.4497941.8315774.355765e-08
0.4520681.8310344.211187e-08
0.4543551.8304984.065877e-08
0.4566531.8299683.919833e-08
0.4589621.8294453.773049e-08
0.461.8292133.707100e-08
0.4612841.8289283.654971e-08
0.4636171.8284173.560222e-08
0.4659611.8279133.464994e-08
0.4683181.8274143.369284e-08
0.4706871.8269223.273091e-08
0.4730671.8264353.176410e-08
0.475461.8259543.079241e-08
0.4778641.8254782.981580e-08
0.4802811.8250082.883426e-08
0.482711.8245442.784775e-08
0.4851521.8240852.685625e-08
0.4876051.8236322.585973e-08
0.4900721.8231832.485818e-08
0.492551.822742.385156e-08
0.4950411.8223022.283985e-08
0.4975451.8218692.182302e-08
0.51.8214522.082600e-08
0.5000611.8214412.081683e-08
0.5025911.8210182.043933e-08
0.5051321.82062.005992e-08
0.5076871.8201861.967860e-08
0.5102551.8197781.929534e-08
0.5128361.8193731.891015e-08
0.5154291.8189741.852300e-08
0.5180361.8185781.813390e-08
0.5206561.8181881.774284e-08
0.5232891.8178011.734979e-08
0.5259361.8174191.695476e-08
0.5285961.8170411.655772e-08
0.531271.8166681.615868e-08
0.5339561.8162981.575763e-08
0.5366571.8159331.535454e-08
0.5393711.8155711.494941e-08
0.5420991.8152141.454224e-08
0.5448411.814861.413301e-08
0.5461.8147121.396000e-08
0.5475971.814511.400080e-08
0.5503661.8141651.407159e-08
0.553151.8138221.414274e-08
0.5559471.8134841.421424e-08
0.5587591.8131491.428610e-08
0.5615851.8128181.435833e-08
0.5644251.812491.443093e-08
0.567281.8121651.450389e-08
0.5701491.8118451.457722e-08
0.5730331.8115271.465092e-08
0.5759311.8112131.472500e-08
0.5788441.8109021.479944e-08
0.581.810781.482900e-08
0.5817711.8105951.487430e-08
0.5847141.810291.494955e-08
0.5876711.8099891.502518e-08
0.5906431.8096911.510120e-08
0.593631.8093961.517759e-08
0.5966331.8091041.525438e-08
0.599651.8088151.533155e-08
0.6026831.8085291.540912e-08
0.6057311.8082461.548707e-08
0.6087951.8079661.556542e-08
0.6118741.8076891.564417e-08
0.6149681.8074141.572332e-08
0.6180791.8071421.580286e-08
0.621.8069761.585200e-08
0.6212051.8068731.581905e-08
0.6243461.8066071.573312e-08
0.6275041.8063431.564676e-08
0.6306781.8060821.555996e-08
0.6338681.8058231.547272e-08
0.6370731.8055671.538504e-08
0.6402961.8053141.529692e-08
0.6435341.8050631.520835e-08
0.6467891.8048141.511933e-08
0.650061.8045681.502986e-08
0.6533481.8043241.493994e-08
0.6566521.8040831.484957e-08
0.6599731.8038441.475874e-08
0.661.8038421.475800e-08
0.6633111.8036071.446092e-08
0.6666661.8033731.415991e-08
0.6700381.803141.385738e-08
0.6734261.802911.355332e-08
0.6768321.8026821.324773e-08
0.6802551.8024561.294058e-08
0.6836961.8022321.263189e-08
0.6871541.802011.232163e-08
0.6906291.8017911.200980e-08
0.6941221.8015731.169640e-08
0.6976331.8013571.138141e-08
0.71.8012141.116900e-08
0.7011611.8011441.115476e-08
0.7047071.8009321.111128e-08
0.7082711.8007221.106758e-08
0.7118541.8005141.102366e-08
0.7154541.8003081.097951e-08
0.7190721.8001031.093515e-08
0.7227091.7999011.089055e-08
0.7263641.79971.084574e-08
0.7300381.7995011.080069e-08
0.733731.7993041.075542e-08
0.7374411.7991081.070992e-08
0.7411711.7989141.066419e-08
0.7449191.7987221.061823e-08
0.7486871.7985311.057203e-08
0.7524741.7983421.052560e-08
0.7562791.7981541.047894e-08
0.7601041.7979681.043204e-08
0.7639491.7977841.038490e-08
0.7678121.7976011.033753e-08
0.7716961.797421.028991e-08
0.7755991.797241.024206e-08
0.7795211.7970611.019396e-08
0.7834641.7968841.014562e-08
0.7874261.7967081.009703e-08
0.7914091.7965341.004820e-08
0.7954111.7963619.999124e-09
0.7994341.7961899.949798e-09
0.8034781.7960199.900222e-09
0.8075411.795859.850396e-09
0.8116251.7956829.800317e-09
0.815731.7955169.749985e-09
0.8198561.7953519.699399e-09
0.8240031.7951869.648557e-09
0.828171.7950249.597458e-09
0.8323591.7948629.546100e-09
0.8365681.7947019.494483e-09
0.8407991.7945429.442604e-09
0.8450521.7943849.390463e-09
0.8493261.7942279.338059e-09
0.8536211.7940719.285389e-09
0.8579391.7939169.232453e-09
0.8622781.7937629.179249e-09
0.8666391.7936099.125776e-09
0.8710221.7934579.072033e-09
0.8754271.7933069.018018e-09
0.8798551.7931568.963730e-09
0.8843051.7930078.909167e-09
0.8887771.7928598.854328e-09
0.8932721.7927128.799212e-09
0.897791.7925668.743817e-09
0.9023311.792428.688142e-09
0.9068951.7922768.632185e-09
0.9114811.7921328.575946e-09
0.9160911.7919898.519422e-09
0.9207241.7918478.462612e-09
0.9253811.7917068.405514e-09
0.9300611.7915668.348128e-09
0.9347651.7914268.290452e-09
0.9394931.7912888.232484e-09
0.9442451.7911498.174223e-09
0.949021.7910128.115667e-09
0.953821.7908768.056815e-09
0.9586441.790747.997665e-09
0.9634921.7906047.938216e-09
0.9683651.790477.878467e-09
0.9732631.7903367.818415e-09
0.9781851.7902027.758060e-09
0.9831331.790077.697399e-09
0.9881051.7899387.636431e-09
0.9931031.7898067.575156e-09
0.9981251.7896757.513570e-09
1.003171.7895457.451673e-09
1.008251.7894157.389462e-09
1.013351.7892867.326938e-09
1.018471.7891577.264096e-09
1.023621.7890297.200937e-09
1.02881.7889017.137459e-09
1.0341.7887747.073660e-09
1.039231.7886477.009538e-09
1.044491.788526.945091e-09
1.049771.7883946.880319e-09
1.055081.7882696.815219e-09
1.061.7881536.754900e-09
1.060421.7881446.831756e-09
1.065781.7880197.820729e-09
1.071171.7878958.814703e-09
1.076591.787779.813705e-09
1.082031.7876471.081776e-08
1.087511.7875231.182689e-08
1.093011.78741.284113e-08
1.098531.7872781.386049e-08
1.104091.7871551.488502e-08
1.109671.7870331.591472e-08
1.115291.7869111.694963e-08
1.120931.7867891.798977e-08
1.12661.7866681.903518e-08
1.132291.7865472.008587e-08
1.138021.7864262.114188e-08
1.143781.7863052.220323e-08
1.149561.7861842.326994e-08
1.155371.7860642.434206e-08
1.161221.7859442.541959e-08
1.167091.7858242.650257e-08
1.172991.7857042.759103e-08
1.178931.7855842.868500e-08
1.184891.7854642.978450e-08
1.190881.7853443.088955e-08
1.19691.7852253.200020e-08
1.202961.7851053.311647e-08
1.209041.7849853.423838e-08
1.215161.7848663.536596e-08
1.22131.7847473.649925e-08
1.227481.7846273.763827e-08
1.233691.7845083.878305e-08
1.239931.7843883.993362e-08
1.24621.7842694.109001e-08
1.25251.7841494.225225e-08
1.258841.7840294.342037e-08
1.26521.783914.459439e-08
1.27161.783794.577435e-08
1.278031.783674.696028e-08
1.28451.783554.815221e-08
1.290991.783434.935017e-08
1.297521.783315.055418e-08
1.304091.783195.176429e-08
1.310681.7830695.298051e-08
1.317311.7829485.420289e-08
1.323971.7828275.543144e-08
1.330671.7827065.666621e-08
1.33741.7825855.790723e-08
1.344161.7824635.915452e-08
1.350961.7823426.040813e-08
1.357791.782226.166807e-08
1.364661.7820976.293438e-08
1.371561.7819756.420710e-08
1.37851.7818526.548626e-08
1.385471.7817286.677188e-08
1.392481.7816056.806401e-08
1.399521.7814816.936267e-08
1.40661.7813577.066790e-08
1.413711.7812327.197973e-08
1.420861.7811077.329820e-08
1.428051.7809827.462333e-08
1.435271.7808567.595517e-08
1.442531.780737.729374e-08
1.449831.7806037.863909e-08
1.457161.7804767.999123e-08
1.464531.7803488.135022e-08
1.471941.780228.271608e-08
1.479381.7800918.408885e-08
1.486861.7799628.546856e-08
1.494381.7798338.685524e-08
1.501941.7797028.824895e-08
1.509541.7795728.964970e-08
1.517171.779449.105753e-08
1.524851.7793099.247249e-08
1.531.779229.342300e-08
1.532561.7791769.753927e-08
1.540311.7790431.100148e-07
1.54811.7789091.225534e-07
1.555931.7787751.351554e-07
1.56381.778641.478212e-07
1.571711.7785041.605510e-07
1.579661.7783671.733452e-07
1.587651.778231.862041e-07
1.595681.7780921.991281e-07
1.603751.7779542.121174e-07
1.611861.7778142.251724e-07
1.620011.7776742.382934e-07
1.62821.7775332.514808e-07
1.636441.7773912.647349e-07
1.644711.7772492.780560e-07
1.653031.7771052.914445e-07
1.661391.7769613.049007e-07
1.669791.7768163.184250e-07
1.678241.776673.320176e-07
1.686731.7765233.456791e-07
1.695261.7763753.594096e-07
1.703831.7762263.732095e-07
1.712451.7760763.870793e-07
1.721111.7759254.010192e-07
1.729821.7757734.150296e-07
1.738561.775624.291108e-07
1.747361.7754664.432633e-07
1.756191.7753124.574873e-07
1.765081.7751554.717833e-07
1.7741.7749984.861516e-07
1.782981.774845.005926e-07
1.791991.7746815.151066e-07
1.801061.774525.296940e-07
1.810171.7743595.443552e-07
1.819321.7741965.590905e-07
1.828521.7740325.739004e-07
1.837771.7738665.887852e-07
1.847071.77376.037452e-07
1.856411.7735326.187809e-07
1.86581.7733636.338927e-07
1.875231.7731926.490809e-07
1.884721.773026.643459e-07
1.894251.7728476.796881e-07
1.903831.7726736.951079e-07
1.913461.7724977.106057e-07
1.923141.7723197.261818e-07
1.932861.7721417.418368e-07
1.942641.771967.575709e-07
1.952461.7717797.733846e-07
1.962341.7715957.892783e-07
1.971.7714538.016100e-07
1.972261.771418.264514e-07
1.982241.7712249.359481e-07
1.992261.7710361.045999e-06
2.002341.7708471.156606e-06
2.012471.7706551.267772e-06
2.022641.7704621.379501e-06
2.032871.7702681.491795e-06
2.043161.7700721.604656e-06
2.053491.7698741.718089e-06
2.063881.7696741.832095e-06
2.074311.7694721.946678e-06
2.08481.7692692.061840e-06
2.095351.7690642.177585e-06
2.105951.7688572.293915e-06
2.11661.7686482.410834e-06
2.12731.7684372.528344e-06
2.138061.7682242.646448e-06
2.148881.7680092.765150e-06
2.159741.7677922.884451e-06
2.170671.7675743.004357e-06
2.181641.7673533.124868e-06
2.192681.767133.245990e-06
2.203771.7669053.367723e-06
2.214911.7666773.490073e-06
2.226121.7664483.613041e-06
2.237381.7662163.736631e-06
2.248691.7659823.860847e-06
2.260061.7657463.985690e-06
2.271491.7655074.111165e-06
2.282981.7652664.237275e-06
2.294531.7650234.364022e-06
2.306131.7647774.491410e-06
2.31781.7645294.619443e-06
2.3251.7643754.698500e-06
2.329521.7642794.907958e-06
2.34131.7640255.453861e-06
2.353141.763776.002524e-06
2.365051.7635116.553963e-06
2.377011.763257.108191e-06
2.389031.7629877.665222e-06
2.401111.7627218.225070e-06
2.413261.7624518.787749e-06
2.425461.762189.353275e-06
2.437731.7619059.921660e-06
2.450061.7616271.049292e-05
2.462451.7613471.106707e-05
2.47491.7610641.164412e-05
2.487421.7607771.222409e-05
2.51.7604881.280700e-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
—