Optical constants

Refractive index of P-LAF37 (SCHOTT)

P-LAF37: n,k 0.32–2.5 µm

Data
formula 2 + tabulated k
Range
0.32–2.5 µm
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.32–2.5 µm
Refractive index n
1.7555
Extinction coefficient k
1.12565e-08
Permittivity ε1
3.08177
Permittivity ε2
3.95216e-08
Absorption coefficient α
0.00240732 cm⁻¹
Penetration depth δ = λ/(2πk)
8.30801e+09 nm
Abbe number Vd
45.661
Chromatic dispersion dn/dλ
-0.0848407 µm⁻¹
Group index ng
1.80535
Group velocity dispersion
155.316 fs²/mm
Dispersion parameter D
-847.329 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-LAF37 (SCHOTT): P-LAF37
schott_p_laf37 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "P-LAF37", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_p_laf37.range_nm)  # (320, 2500) nm
eps = schott_p_laf37.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=1.76003244λ2λ2−0.00938006396+0.248286745λ2λ2−0.0360537464+1.15935122λ2λ2−86.4324693

Valid from 0.32 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.76003244
C30.00938006396
C40.248286745
C50.0360537464
C61.15935122
C786.4324693

Comments and conditions

suitable for precision molding

Properties

nd
1.7555
Vd
45.66
glass code
755457.399
glass status
standard
density
value: 3987
thermal expansion
value: 6.26e-06, temperature range: 243 343; value: 7.8e-06, temperature range: 293 573
dPgF
-0.008

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 421 wavelengths, the same grid as the API and the library
P-LAF37 (SCHOTT), P-LAF37: n and k versus wavelength
λ (µm)nk
0.321.8219083.278700e-06
0.3216531.8207723.027002e-06
0.3233141.8196542.774004e-06
0.3249851.8185542.519699e-06
0.3266631.8174722.264080e-06
0.3283511.8164072.007141e-06
0.3300471.8153581.748875e-06
0.3317521.8143261.489275e-06
0.3334651.813311.228333e-06
0.3341.8129971.146900e-06
0.3351881.812311.098671e-06
0.3369191.8113241.028365e-06
0.3386591.8103549.576960e-07
0.3404091.8093998.866618e-07
0.3421671.8084588.152607e-07
0.3439351.807537.434907e-07
0.3457111.8066176.713500e-07
0.3474971.8057175.988367e-07
0.3492921.8048315.259488e-07
0.351.8044864.972000e-07
0.3510961.8039574.787548e-07
0.352911.8030964.482407e-07
0.3547331.8022484.175689e-07
0.3565651.8014123.867387e-07
0.3584071.8005883.557492e-07
0.3602581.7997753.245997e-07
0.3621191.7989742.932893e-07
0.363991.7981852.618171e-07
0.3651.7977652.448200e-07
0.365871.7974062.367344e-07
0.367761.7966392.191697e-07
0.369661.7958822.015143e-07
0.371.7957481.983500e-07
0.3715691.7951351.872242e-07
0.3734881.7943991.736142e-07
0.3754181.7936731.599339e-07
0.3773571.7929571.461829e-07
0.3793061.7922511.323609e-07
0.381.7920021.274400e-07
0.3812651.7915541.227140e-07
0.3832351.7908661.153582e-07
0.3852141.7901881.079644e-07
0.3872041.7895191.005324e-07
0.3892041.7888599.306204e-08
0.391.78869.009000e-08
0.3912151.7882088.707984e-08
0.3932361.7875658.207206e-08
0.3952671.7869317.703841e-08
0.3973091.7863057.197876e-08
0.3993611.7856876.689298e-08
0.41.7854976.530900e-08
0.4014241.7850776.361451e-08
0.4034971.7844766.114657e-08
0.4051.7840465.935800e-08
0.4055821.7838825.879602e-08
0.4076771.7832955.677139e-08
0.4097821.7827165.473630e-08
0.4118991.7821455.269069e-08
0.4140271.7815815.063452e-08
0.4161651.7810244.856773e-08
0.4183151.7804744.649026e-08
0.421.780054.486200e-08
0.4204761.7799314.457273e-08
0.4226481.7793954.325258e-08
0.4248311.7788654.192561e-08
0.4270261.7783424.059179e-08
0.4292311.7778263.925108e-08
0.4314491.7773163.790345e-08
0.4336771.7768123.654885e-08
0.4359171.7763153.518726e-08
0.4361.7762973.513700e-08
0.4381691.7758243.423043e-08
0.4404321.7753383.328444e-08
0.4427071.7748593.233357e-08
0.4449941.7743853.137778e-08
0.4472931.7739173.041706e-08
0.4496031.7734552.945137e-08
0.4519261.7729992.848069e-08
0.454261.7725472.750500e-08
0.4566071.7721022.652428e-08
0.4589651.7716612.553848e-08
0.461.771472.510600e-08
0.4613361.7712262.474804e-08
0.4637191.7707962.410957e-08
0.4661141.7703712.346780e-08
0.4685221.7699512.282272e-08
0.4709421.7695362.217430e-08
0.4733751.7691262.152253e-08
0.475821.768722.086740e-08
0.4782781.768322.020888e-08
0.4807481.7679241.954696e-08
0.4832321.7675321.888162e-08
0.4857281.7671461.821285e-08
0.4882371.7667631.754062e-08
0.4907591.7663851.686492e-08
0.4932941.7660111.618572e-08
0.4958421.7656421.550302e-08
0.4984031.7652771.481679e-08
0.51.7650521.438900e-08
0.5009781.7649151.430546e-08
0.5035661.7645581.408437e-08
0.5061671.7642051.386214e-08
0.5087811.7638561.363877e-08
0.5114091.7635111.341424e-08
0.5140511.763171.318854e-08
0.5167061.7628321.296169e-08
0.5193761.7624981.273366e-08
0.5220581.7621681.250445e-08
0.5247551.7618421.227406e-08
0.5274661.7615191.204248e-08
0.530191.76121.180970e-08
0.5329291.7608841.157572e-08
0.5356821.7605711.134053e-08
0.5384491.7602621.110413e-08
0.541231.7599571.086651e-08
0.5440261.7596541.062766e-08
0.5461.7594441.045900e-08
0.5468361.7593551.047503e-08
0.5496611.7590591.052920e-08
0.55251.7587671.058365e-08
0.5553541.7584771.063838e-08
0.5582231.7581911.069339e-08
0.5611061.7579071.074868e-08
0.5640041.7576271.080426e-08
0.5669181.7573491.086013e-08
0.5698461.7570741.091629e-08
0.572791.7568021.097273e-08
0.5757491.7565331.102947e-08
0.5787231.7562671.108650e-08
0.581.7561541.111100e-08
0.5817121.7560041.114378e-08
0.5847171.7557431.120133e-08
0.5877371.7554851.125917e-08
0.5907731.755231.131730e-08
0.5938251.7549771.137574e-08
0.5968921.7547271.143448e-08
0.5999751.7544791.149353e-08
0.6030741.7542341.155288e-08
0.606191.7539911.161253e-08
0.6093211.7537511.167250e-08
0.6124681.7535131.173277e-08
0.6156321.7532771.179335e-08
0.6188121.7530441.185425e-08
0.621.7529571.187700e-08
0.6220091.7528131.180941e-08
0.6252221.7525841.170129e-08
0.6284511.7523581.159262e-08
0.6316971.7521331.148338e-08
0.634961.7519111.137358e-08
0.638241.7516911.126321e-08
0.6415371.7514731.115228e-08
0.6448511.7512581.104076e-08
0.6481821.7510441.092868e-08
0.651531.7508321.081601e-08
0.6548961.7506221.070276e-08
0.6582781.7504151.058893e-08
0.661.750311.053100e-08
0.6616791.7502091.046383e-08
0.6650971.7500051.032707e-08
0.6685321.7498031.018960e-08
0.6719861.7496031.005143e-08
0.6754571.7494049.912541e-09
0.6789461.7492089.772935e-09
0.6824531.7490139.632607e-09
0.6859781.748829.491555e-09
0.6895211.7486299.349774e-09
0.6930831.7484399.207261e-09
0.6966631.7482519.064012e-09
0.71.7480798.930500e-09
0.7002621.7480658.933840e-09
0.7038791.747888.979985e-09
0.7075151.7476979.026367e-09
0.711171.7475169.072990e-09
0.7148431.7473369.119853e-09
0.7185361.7471589.166958e-09
0.7222471.7469819.214307e-09
0.7259781.7468069.261900e-09
0.7297281.7466329.309739e-09
0.7334971.7464599.357825e-09
0.7372861.7462889.406159e-09
0.7410951.7461199.454743e-09
0.7449231.7459519.503578e-09
0.7487711.7457849.552666e-09
0.7526391.7456189.602006e-09
0.7565261.7454549.651602e-09
0.7604341.7452919.701454e-09
0.7643621.7451299.751564e-09
0.768311.7449699.801932e-09
0.7722791.744819.852560e-09
0.7762681.7446529.903450e-09
0.7802781.7444959.954603e-09
0.7843091.744341.000602e-08
0.788361.7441851.005770e-08
0.7924321.7440321.010965e-08
0.7965261.743881.016187e-08
0.800641.7437291.021436e-08
0.8047761.7435791.026712e-08
0.8089331.743431.032015e-08
0.8131111.7432821.037345e-08
0.8173111.7431351.042703e-08
0.8215331.742991.048089e-08
0.8257771.7428451.053503e-08
0.8300421.7427011.058944e-08
0.834331.7425581.064414e-08
0.838641.7424161.069912e-08
0.8429721.7422751.075438e-08
0.8473261.7421351.080993e-08
0.8517031.7419961.086576e-08
0.8561021.7418581.092189e-08
0.8605241.741721.097830e-08
0.864971.7415831.103501e-08
0.8694371.7414481.109200e-08
0.8739291.7413131.114930e-08
0.8784431.7411781.120689e-08
0.882981.7410451.126477e-08
0.8875411.7409121.132296e-08
0.8921261.740781.138144e-08
0.8967341.7406491.144023e-08
0.9013661.7405191.149932e-08
0.9060221.7403891.155872e-08
0.9107021.740261.161842e-08
0.9154071.7401311.167843e-08
0.9201351.7400031.173875e-08
0.9248881.7398761.179939e-08
0.9296661.739751.186033e-08
0.9344681.7396241.192159e-08
0.9392951.7394981.198317e-08
0.9441471.7393741.204507e-08
0.9490241.7392491.210728e-08
0.9539261.7391261.216982e-08
0.9588531.7390031.223268e-08
0.9638061.738881.229586e-08
0.9687851.7387581.235937e-08
0.9737891.7386361.242321e-08
0.9788191.7385151.248738e-08
0.9838751.7383941.255188e-08
0.9889571.7382741.261671e-08
0.9940661.7381541.268188e-08
0.9992011.7380351.274739e-08
1.004361.7379161.281323e-08
1.009551.7377971.287941e-08
1.014761.7376791.294594e-08
1.020011.7375611.301281e-08
1.025281.7374441.308002e-08
1.030571.7373261.314758e-08
1.035891.737211.321549e-08
1.041251.7370931.328375e-08
1.046621.7369771.335237e-08
1.052031.7368611.342134e-08
1.057461.7367451.349066e-08
1.061.7366911.352300e-08
1.062931.736631.417564e-08
1.068421.7365151.539976e-08
1.073941.73641.663021e-08
1.079481.7362851.786701e-08
1.085061.736171.911020e-08
1.090671.7360562.035981e-08
1.09631.7359422.161587e-08
1.101961.7358282.287843e-08
1.107651.7357142.414750e-08
1.113381.73562.542313e-08
1.119131.7354862.670535e-08
1.124911.7353732.799420e-08
1.130721.7352592.928970e-08
1.136561.7351463.059189e-08
1.142431.7350333.190081e-08
1.148331.734923.321649e-08
1.154261.7348063.453897e-08
1.160231.7346933.586828e-08
1.166221.734583.720445e-08
1.172241.7344673.854753e-08
1.17831.7343543.989754e-08
1.184381.7342414.125453e-08
1.19051.7341284.261853e-08
1.196651.7340144.398957e-08
1.202831.7339014.536769e-08
1.209051.7337884.675294e-08
1.215291.7336744.814534e-08
1.221571.7335614.954493e-08
1.227881.7334475.095175e-08
1.234221.7333335.236584e-08
1.24061.7332195.378723e-08
1.2471.7331055.521596e-08
1.253451.7329915.665208e-08
1.259921.7328765.809561e-08
1.266431.7327625.954660e-08
1.272971.7326476.100508e-08
1.279551.7325326.247110e-08
1.286161.7324176.394469e-08
1.29281.7323016.542590e-08
1.299481.7321856.691475e-08
1.306191.7320696.841130e-08
1.312941.7319536.991557e-08
1.319721.7318367.142762e-08
1.326541.7317197.294747e-08
1.333391.7316027.447518e-08
1.340281.7314847.601078e-08
1.34721.7313667.755431e-08
1.354161.7312487.910581e-08
1.361151.7311298.066533e-08
1.368181.731018.223290e-08
1.375251.730898.380857e-08
1.382351.730778.539238e-08
1.38951.7306498.698437e-08
1.396671.7305298.858459e-08
1.403891.7304079.019307e-08
1.411141.7302859.180985e-08
1.418431.7301639.343499e-08
1.425761.730049.506853e-08
1.433121.7299179.671050e-08
1.440521.7297939.836096e-08
1.447961.7296681.000199e-07
1.455441.7295431.016875e-07
1.462961.7294171.033636e-07
1.470521.7292911.050485e-07
1.478111.7291641.067420e-07
1.485751.7290361.084443e-07
1.493421.7289081.101553e-07
1.501141.7287791.118752e-07
1.508891.728651.136040e-07
1.516691.728521.153417e-07
1.524521.7283891.170884e-07
1.531.7282971.183100e-07
1.53241.7282571.224208e-07
1.540311.7281241.360024e-07
1.548271.7279911.496543e-07
1.556271.7278571.633766e-07
1.56431.7277231.771699e-07
1.572381.7275871.910344e-07
1.580511.7274512.049705e-07
1.588671.7273132.189786e-07
1.596881.7271752.330590e-07
1.605131.7270362.472122e-07
1.613421.7268962.614385e-07
1.621751.7267552.757383e-07
1.630131.7266142.901119e-07
1.638551.7264713.045598e-07
1.647011.7263273.190823e-07
1.655521.7261833.336799e-07
1.664071.7260373.483528e-07
1.672671.725893.631015e-07
1.681311.7257433.779265e-07
1.689991.7255943.928280e-07
1.698721.7254444.078064e-07
1.70751.7252934.228623e-07
1.716321.7251414.379959e-07
1.725181.7249884.532077e-07
1.734091.7248334.684980e-07
1.743051.7246784.838674e-07
1.752061.7245214.993161e-07
1.761111.7243635.148446e-07
1.77021.7242045.304534e-07
1.779351.7240445.461427e-07
1.788541.7238825.619132e-07
1.797781.7237195.777650e-07
1.807061.7235555.936988e-07
1.81641.7233896.097149e-07
1.825781.7232226.258137e-07
1.835211.7230536.419956e-07
1.844691.7228846.582611e-07
1.854221.7227126.746107e-07
1.86381.722546.910447e-07
1.873421.7223667.075636e-07
1.88311.722197.241679e-07
1.892831.7220137.408579e-07
1.902611.7218347.576341e-07
1.912431.7216547.744969e-07
1.922311.7214727.914469e-07
1.932241.7212888.084844e-07
1.942221.7211038.256100e-07
1.952261.7209168.428240e-07
1.962341.7207278.601269e-07
1.971.7205848.732700e-07
1.972481.7205379.040065e-07
1.982671.7203451.030463e-06
1.992911.7201511.157573e-06
2.00321.7199561.285340e-06
2.013551.7197581.413767e-06
2.023951.7195591.542857e-06
2.03441.7193581.672613e-06
2.044911.7191551.803041e-06
2.055481.718951.934141e-06
2.066091.7187432.065919e-06
2.076771.7185342.198378e-06
2.087491.7183232.331521e-06
2.098281.718112.465352e-06
2.109111.7178952.599874e-06
2.120011.7176772.735090e-06
2.130961.7174582.871006e-06
2.141971.7172363.007623e-06
2.153031.7170133.144946e-06
2.164151.7167863.282978e-06
2.175331.7165583.421724e-06
2.186571.7163273.561186e-06
2.197861.7160943.701368e-06
2.209221.7158593.842275e-06
2.220631.7156213.983909e-06
2.23211.7153814.126275e-06
2.243631.7151384.269377e-06
2.255221.7148934.413217e-06
2.266871.7146454.557801e-06
2.278581.7143954.703132e-06
2.290351.7141424.849213e-06
2.302181.7138864.996048e-06
2.314071.7136275.143643e-06
2.3251.7133895.279300e-06
2.326021.7133665.333698e-06
2.338041.7131025.972465e-06
2.350121.7128356.614533e-06
2.362251.7125667.259917e-06
2.374461.7122937.908635e-06
2.386721.7120188.560703e-06
2.399051.7117399.216140e-06
2.411441.7114579.874963e-06
2.42391.7111731.053719e-05
2.436421.7108851.120284e-05
2.449011.7105941.187192e-05
2.461661.7102991.254446e-05
2.474371.7100021.322048e-05
2.487151.7097011.389998e-05
2.51.7093971.458300e-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
—