Optical constants

Refractive index of P-LASF50 (SCHOTT)

P-LASF50: 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
1.8086
Extinction coefficient k
1.50234e-08
Permittivity ε1
3.27102
Permittivity ε2
5.43424e-08
Absorption coefficient α
0.00321289 cm⁻¹
Penetration depth δ = λ/(2πk)
6.22493e+09 nm
Abbe number Vd
40.46
Chromatic dispersion dn/dλ
-0.102037 µm⁻¹
Group index ng
1.86855
Group velocity dispersion
191.724 fs²/mm
Dispersion parameter D
-1045.96 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-LASF50 (SCHOTT): P-LASF50
schott_p_lasf50 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "P-LASF50", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_p_lasf50.range_nm)  # (334, 2500) nm
eps = schott_p_lasf50.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=1.84910553λ2λ2−0.00999234757+0.329828674λ2λ2−0.0387437988+1.30400901λ2λ2−95.8967681

Valid from 0.334 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.84910553
C30.00999234757
C40.329828674
C50.0387437988
C61.30400901
C795.8967681

Comments and conditions

suitable for precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 8.04e-06 1.2e-08 -2.19e-11 8.2e-07 9.08e-10 0.209
nd
1.8086
Vd
40.46
glass code
809405.454
glass status
standard
density
value: 4541
thermal expansion
value: 5.9e-06, temperature range: 243 343; value: 7.32e-06, temperature range: 293 573
dPgF
-0.0078

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.46e-06 K⁻¹ at 633 nm, dn/dT = 5.20e-06 K⁻¹ at 1310 nm, dn/dT = 5.09e-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-LASF50 (SCHOTT), P-LASF50: n and k versus wavelength
λ (µm)nk
0.3341.8801183.728000e-06
0.3356891.8788663.457890e-06
0.3373871.8776353.186413e-06
0.3390931.8764232.913564e-06
0.3408081.8752312.639334e-06
0.3425321.8740572.363718e-06
0.3442641.8729022.086707e-06
0.3460061.8717651.808296e-06
0.3477561.8706451.528476e-06
0.3495141.8695421.247242e-06
0.351.8692421.169600e-06
0.3512821.8684571.112408e-06
0.3530591.8673881.033157e-06
0.3548441.8663359.535058e-07
0.3566391.8652988.734516e-07
0.3584431.8642767.929925e-07
0.3602561.8632697.121265e-07
0.3620781.8622786.308515e-07
0.3639091.8613015.491654e-07
0.3651.8607285.005000e-07
0.365751.8603384.834693e-07
0.3675991.8593894.414376e-07
0.3694591.8584543.991934e-07
0.371.8581853.868900e-07
0.3713271.8575323.654559e-07
0.3732051.8566243.351238e-07
0.3750931.8557283.046383e-07
0.376991.8548462.739986e-07
0.3788961.8539752.432040e-07
0.381.8534792.253800e-07
0.3808131.8531172.188204e-07
0.3827391.8522712.032756e-07
0.3846741.8514361.876522e-07
0.386621.8506131.719498e-07
0.3885751.8498021.561679e-07
0.391.849221.446700e-07
0.3905411.8490011.425879e-07
0.3925161.8482121.349814e-07
0.3945011.8474331.273364e-07
0.3964961.8466651.196527e-07
0.3985021.8459071.119302e-07
0.41.845351.061600e-07
0.4005171.8451591.048564e-07
0.4025431.8444219.974967e-08
0.4045791.8436939.461714e-08
0.4051.8435449.355500e-08
0.4066251.8429759.084891e-08
0.4086811.8422668.742393e-08
0.4107481.8415678.398162e-08
0.4128261.8408768.052190e-08
0.4149141.8401957.704468e-08
0.4170121.8395227.354988e-08
0.4191211.8388597.003740e-08
0.421.8385856.857400e-08
0.4212411.8382036.731356e-08
0.4233721.8375566.514979e-08
0.4255131.8369186.297508e-08
0.4276651.8362876.078938e-08
0.4298281.8356655.859261e-08
0.4320021.835055.638474e-08
0.4341871.8344445.416570e-08
0.4361.8339485.232400e-08
0.4363831.8338445.208085e-08
0.438591.8332535.067817e-08
0.4408081.8326684.926840e-08
0.4430371.8320914.785150e-08
0.4452781.8315224.642743e-08
0.447531.8309594.499616e-08
0.4497941.8304034.355765e-08
0.4520681.8298544.211187e-08
0.4543551.8293114.065877e-08
0.4566531.8287763.919833e-08
0.4589621.8282463.773049e-08
0.461.8280113.707100e-08
0.4612841.8277233.654971e-08
0.4636171.8272073.560222e-08
0.4659611.8266973.464994e-08
0.4683181.8261923.369284e-08
0.4706871.8256943.273091e-08
0.4730671.8252023.176410e-08
0.475461.8247153.079241e-08
0.4778641.8242352.981580e-08
0.4802811.823762.883426e-08
0.482711.823292.784775e-08
0.4851521.8228272.685625e-08
0.4876051.8223682.585973e-08
0.4900721.8219152.485818e-08
0.492551.8214672.385156e-08
0.4950411.8210242.283985e-08
0.4975451.8205872.182302e-08
0.51.8201652.082600e-08
0.5000611.8201542.081683e-08
0.5025911.8197272.043933e-08
0.5051321.8193042.005992e-08
0.5076871.8188861.967860e-08
0.5102551.8184731.929534e-08
0.5128361.8180651.891015e-08
0.5154291.8176611.852300e-08
0.5180361.8172621.813390e-08
0.5206561.8168671.774284e-08
0.5232891.8164771.734979e-08
0.5259361.8160911.695476e-08
0.5285961.8157091.655772e-08
0.531271.8153321.615868e-08
0.5339561.8149591.575763e-08
0.5366571.814591.535454e-08
0.5393711.8142251.494941e-08
0.5420991.8138641.454224e-08
0.5448411.8135061.413301e-08
0.5461.8133571.396000e-08
0.5475971.8131531.400080e-08
0.5503661.8128041.407159e-08
0.553151.8124581.414274e-08
0.5559471.8121171.421424e-08
0.5587591.8117781.428610e-08
0.5615851.8114441.435833e-08
0.5644251.8111131.443093e-08
0.567281.8107861.450389e-08
0.5701491.8104621.457722e-08
0.5730331.8101411.465092e-08
0.5759311.8098241.472500e-08
0.5788441.809511.479944e-08
0.581.8093871.482900e-08
0.5817711.80921.487430e-08
0.5847141.8088931.494955e-08
0.5876711.8085891.502518e-08
0.5906431.8082881.510120e-08
0.593631.807991.517759e-08
0.5966331.8076961.525438e-08
0.599651.8074041.533155e-08
0.6026831.8071151.540912e-08
0.6057311.806831.548707e-08
0.6087951.8065471.556542e-08
0.6118741.8062671.564417e-08
0.6149681.805991.572332e-08
0.6180791.8057161.580286e-08
0.621.8055491.585200e-08
0.6212051.8054441.581905e-08
0.6243461.8051761.573312e-08
0.6275041.804911.564676e-08
0.6306781.8046461.555996e-08
0.6338681.8043851.547272e-08
0.6370731.8041271.538504e-08
0.6402961.8038711.529692e-08
0.6435341.8036181.520835e-08
0.6467891.8033671.511933e-08
0.650061.8031191.502986e-08
0.6533481.8028731.493994e-08
0.6566521.802631.484957e-08
0.6599731.8023881.475874e-08
0.661.8023861.475800e-08
0.6633111.802151.446092e-08
0.6666661.8019131.415991e-08
0.6700381.8016791.385738e-08
0.6734261.8014461.355332e-08
0.6768321.8012161.324773e-08
0.6802551.8009891.294058e-08
0.6836961.8007631.263189e-08
0.6871541.8005391.232163e-08
0.6906291.8003181.200980e-08
0.6941221.8000981.169640e-08
0.6976331.7998811.138141e-08
0.71.7997361.116900e-08
0.7011611.7996651.115476e-08
0.7047071.7994511.111128e-08
0.7082711.799241.106758e-08
0.7118541.799031.102366e-08
0.7154541.7988221.097951e-08
0.7190721.7986161.093515e-08
0.7227091.7984121.089055e-08
0.7263641.7982091.084574e-08
0.7300381.7980091.080069e-08
0.733731.797811.075542e-08
0.7374411.7976121.070992e-08
0.7411711.7974171.066419e-08
0.7449191.7972231.061823e-08
0.7486871.7970311.057203e-08
0.7524741.796841.052560e-08
0.7562791.7966511.047894e-08
0.7601041.7964631.043204e-08
0.7639491.7962781.038490e-08
0.7678121.7960931.033753e-08
0.7716961.795911.028991e-08
0.7755991.7957291.024206e-08
0.7795211.7955491.019396e-08
0.7834641.795371.014562e-08
0.7874261.7951931.009703e-08
0.7914091.7950181.004820e-08
0.7954111.7948439.999124e-09
0.7994341.794679.949798e-09
0.8034781.7944999.900222e-09
0.8075411.7943289.850396e-09
0.8116251.7941599.800317e-09
0.815731.7939919.749985e-09
0.8198561.7938259.699399e-09
0.8240031.7936599.648557e-09
0.828171.7934959.597458e-09
0.8323591.7933329.546100e-09
0.8365681.7931719.494483e-09
0.8407991.793019.442604e-09
0.8450521.7928519.390463e-09
0.8493261.7926929.338059e-09
0.8536211.7925359.285389e-09
0.8579391.7923799.232453e-09
0.8622781.7922249.179249e-09
0.8666391.7920699.125776e-09
0.8710221.7919169.072033e-09
0.8754271.7917649.018018e-09
0.8798551.7916138.963730e-09
0.8843051.7914638.909167e-09
0.8887771.7913148.854328e-09
0.8932721.7911668.799212e-09
0.897791.7910188.743817e-09
0.9023311.7908728.688142e-09
0.9068951.7907268.632185e-09
0.9114811.7905828.575946e-09
0.9160911.7904388.519422e-09
0.9207241.7902958.462612e-09
0.9253811.7901538.405514e-09
0.9300611.7900118.348128e-09
0.9347651.7898718.290452e-09
0.9394931.7897318.232484e-09
0.9442451.7895928.174223e-09
0.949021.7894538.115667e-09
0.953821.7893168.056815e-09
0.9586441.7891797.997665e-09
0.9634921.7890427.938216e-09
0.9683651.7889077.878467e-09
0.9732631.7887727.818415e-09
0.9781851.7886387.758060e-09
0.9831331.7885047.697399e-09
0.9881051.7883717.636431e-09
0.9931031.7882387.575156e-09
0.9981251.7881077.513570e-09
1.003171.7879757.451673e-09
1.008251.7878447.389462e-09
1.013351.7877147.326938e-09
1.018471.7875857.264096e-09
1.023621.7874557.200937e-09
1.02881.7873277.137459e-09
1.0341.7871987.073660e-09
1.039231.7870717.009538e-09
1.044491.7869436.945091e-09
1.049771.7868166.880319e-09
1.055081.786696.815219e-09
1.061.7865746.754900e-09
1.060421.7865646.831756e-09
1.065781.7864387.820729e-09
1.071171.7863138.814703e-09
1.076591.7861889.813705e-09
1.082031.7860631.081776e-08
1.087511.7859391.182689e-08
1.093011.7858151.284113e-08
1.098531.7856921.386049e-08
1.104091.7855681.488502e-08
1.109671.7854451.591472e-08
1.115291.7853221.694963e-08
1.120931.78521.798977e-08
1.12661.7850781.903518e-08
1.132291.7849562.008587e-08
1.138021.7848342.114188e-08
1.143781.7847122.220323e-08
1.149561.7845912.326994e-08
1.155371.7844692.434206e-08
1.161221.7843482.541959e-08
1.167091.7842272.650257e-08
1.172991.7841062.759103e-08
1.178931.7839862.868500e-08
1.184891.7838652.978450e-08
1.190881.7837453.088955e-08
1.19691.7836243.200020e-08
1.202961.7835043.311647e-08
1.209041.7833833.423838e-08
1.215161.7832633.536596e-08
1.22131.7831433.649925e-08
1.227481.7830223.763827e-08
1.233691.7829023.878305e-08
1.239931.7827823.993362e-08
1.24621.7826624.109001e-08
1.25251.7825414.225225e-08
1.258841.7824214.342037e-08
1.26521.78234.459439e-08
1.27161.782184.577435e-08
1.278031.7820594.696028e-08
1.28451.7819384.815221e-08
1.290991.7818174.935017e-08
1.297521.7816965.055418e-08
1.304091.7815755.176429e-08
1.310681.7814545.298051e-08
1.317311.7813325.420289e-08
1.323971.781215.543144e-08
1.330671.7810885.666621e-08
1.33741.7809665.790723e-08
1.344161.7808445.915452e-08
1.350961.7807216.040813e-08
1.357791.7805986.166807e-08
1.364661.7804756.293438e-08
1.371561.7803526.420710e-08
1.37851.7802286.548626e-08
1.385471.7801046.677188e-08
1.392481.7799796.806401e-08
1.399521.7798556.936267e-08
1.40661.779737.066790e-08
1.413711.7796047.197973e-08
1.420861.7794787.329820e-08
1.428051.7793527.462333e-08
1.435271.7792257.595517e-08
1.442531.7790987.729374e-08
1.449831.7789717.863909e-08
1.457161.7788437.999123e-08
1.464531.7787148.135022e-08
1.471941.7785858.271608e-08
1.479381.7784568.408885e-08
1.486861.7783268.546856e-08
1.494381.7781958.685524e-08
1.501941.7780648.824895e-08
1.509541.7779328.964970e-08
1.517171.77789.105753e-08
1.524851.7776679.247249e-08
1.531.7775789.342300e-08
1.532561.7775349.753927e-08
1.540311.77741.100148e-07
1.54811.7772651.225534e-07
1.555931.777131.351554e-07
1.56381.7769941.478212e-07
1.571711.7768571.605510e-07
1.579661.776721.733452e-07
1.587651.7765811.862041e-07
1.595681.7764431.991281e-07
1.603751.7763032.121174e-07
1.611861.7761632.251724e-07
1.620011.7760212.382934e-07
1.62821.775882.514808e-07
1.636441.7757372.647349e-07
1.644711.7755932.780560e-07
1.653031.7754492.914445e-07
1.661391.7753033.049007e-07
1.669791.7751573.184250e-07
1.678241.775013.320176e-07
1.686731.7748623.456791e-07
1.695261.7747133.594096e-07
1.703831.7745633.732095e-07
1.712451.7744123.870793e-07
1.721111.774264.010192e-07
1.729821.7741074.150296e-07
1.738561.7739534.291108e-07
1.747361.7737984.432633e-07
1.756191.7736424.574873e-07
1.765081.7734854.717833e-07
1.7741.7733274.861516e-07
1.782981.7731685.005926e-07
1.791991.7730075.151066e-07
1.801061.7728465.296940e-07
1.810171.7726835.443552e-07
1.819321.7725195.590905e-07
1.828521.7723535.739004e-07
1.837771.7721875.887852e-07
1.847071.7720196.037452e-07
1.856411.771856.187809e-07
1.86581.771686.338927e-07
1.875231.7715086.490809e-07
1.884721.7713356.643459e-07
1.894251.771166.796881e-07
1.903831.7709856.951079e-07
1.913461.7708077.106057e-07
1.923141.7706297.261818e-07
1.932861.7704497.418368e-07
1.942641.7702677.575709e-07
1.952461.7700847.733846e-07
1.962341.7698997.892783e-07
1.971.7697568.016100e-07
1.972261.7697138.264514e-07
1.982241.7695259.359481e-07
1.992261.7693361.045999e-06
2.002341.7691451.156606e-06
2.012471.7689521.267772e-06
2.022641.7687581.379501e-06
2.032871.7685621.491795e-06
2.043161.7683641.604656e-06
2.053491.7681651.718089e-06
2.063881.7679641.832095e-06
2.074311.7677611.946678e-06
2.08481.7675562.061840e-06
2.095351.7673492.177585e-06
2.105951.767142.293915e-06
2.11661.766932.410834e-06
2.12731.7667172.528344e-06
2.138061.7665032.646448e-06
2.148881.7662862.765150e-06
2.159741.7660682.884451e-06
2.170671.7658473.004357e-06
2.181641.7656253.124868e-06
2.192681.76543.245990e-06
2.203771.7651733.367723e-06
2.214911.7649443.490073e-06
2.226121.7647133.613041e-06
2.237381.7644793.736631e-06
2.248691.7642433.860847e-06
2.260061.7640053.985690e-06
2.271491.7637654.111165e-06
2.282981.7635224.237275e-06
2.294531.7632774.364022e-06
2.306131.7630294.491410e-06
2.31781.7627794.619443e-06
2.3251.7626244.698500e-06
2.329521.7625264.907958e-06
2.34131.7622715.453861e-06
2.353141.7620136.002524e-06
2.365051.7617536.553963e-06
2.377011.761497.108191e-06
2.389031.7612247.665222e-06
2.401111.7609558.225070e-06
2.413261.7606848.787749e-06
2.425461.760419.353275e-06
2.437731.7601339.921660e-06
2.450061.7598531.049292e-05
2.462451.759571.106707e-05
2.47491.7592851.164412e-05
2.487421.7589961.222409e-05
2.51.7587041.280700e-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
—