Optical constants

Refractive index of LF5 (SCHOTT)

LF5: n,k 0.32–2.325 µm

Data
formula 2 + tabulated k
Range
0.32–2.325 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.32–2.325 µm
Refractive index n
1.58144
Extinction coefficient k
5.24368e-09
Permittivity ε1
2.50095
Permittivity ε2
1.65851e-08
Absorption coefficient α
0.00112141 cm⁻¹
Penetration depth δ = λ/(2πk)
1.78347e+10 nm
Abbe number Vd
40.851
Chromatic dispersion dn/dλ
-0.0724588 µm⁻¹
Group index ng
1.62401
Group velocity dispersion
138.009 fs²/mm
Dispersion parameter D
-752.911 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

# LF5 (SCHOTT): LF5
schott_lf5 = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "LF5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_lf5.range_nm)  # (320, 2325) nm
eps = schott_lf5.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=1.28035628λ2λ2−0.00929854416+0.163505973λ2λ2−0.0449135769+0.893930112λ2λ2−110.493685

Valid from 0.32 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C21.28035628
C30.00929854416
C40.163505973
C50.0449135769
C60.893930112
C7110.493685

Comments and conditions

lead containing glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.27e-06 9.71e-09 -2.83e-11 8.36e-07 9.95e-10 0.228
nd
1.58144
Vd
40.85
glass code
581409.322
glass status
standard
density
value: 3220
thermal expansion
value: 9.1e-06, temperature range: 243 343; value: 1.06e-05, temperature range: 293 573
dPgF
-0.0003
resistance
acid: 1.0; stain: 0.0; alkali: 2.3; climatic: 2.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 6.02e-08 K⁻¹ at 633 nm, dn/dT = -8.15e-07 K⁻¹ at 1310 nm, dn/dT = -8.79e-07 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
LF5 (SCHOTT), LF5: n and k versus wavelength
λ (µm)nk
0.321.6427583.278700e-06
0.3215941.6416532.973352e-06
0.3231971.6405682.666483e-06
0.3248071.6395042.358084e-06
0.3264261.638462.048149e-06
0.3280521.6374351.736670e-06
0.3296871.636431.423638e-06
0.3313291.6354421.109047e-06
0.332981.6344737.928882e-07
0.3341.6338855.976200e-07
0.3346391.633525.794265e-07
0.3363071.6325855.319889e-07
0.3379831.6316664.843149e-07
0.3396671.6307634.364034e-07
0.3413591.6298763.882532e-07
0.343061.6290043.398630e-07
0.3447691.6281462.912317e-07
0.3464871.6273032.423581e-07
0.3482141.6264751.932410e-07
0.3499491.625661.438792e-07
0.351.6256361.424200e-07
0.3516921.6248581.325242e-07
0.3534451.6240691.222778e-07
0.3552061.6232941.119802e-07
0.3569761.622531.016314e-07
0.3587541.6217799.123100e-08
0.3605421.621048.077878e-08
0.3623381.6203127.027448e-08
0.3641441.6195965.971784e-08
0.3651.6192625.471200e-08
0.3659581.6188915.320554e-08
0.3677821.6181975.033907e-08
0.3696141.6175134.745832e-08
0.371.6173714.685200e-08
0.3714561.616844.485091e-08
0.3733071.6161774.230711e-08
0.3751671.6155243.975063e-08
0.3770361.6148813.718141e-08
0.3789151.6142473.459939e-08
0.381.6138873.310800e-08
0.3808031.6136233.205741e-08
0.38271.6130082.957464e-08
0.3846071.6124012.707949e-08
0.3865241.6118042.457192e-08
0.3884491.6112152.205184e-08
0.391.6107492.002300e-08
0.3903851.6106351.964584e-08
0.392331.6100631.774036e-08
0.3942851.6094991.582538e-08
0.396251.6089431.390086e-08
0.3982241.6083951.196675e-08
0.41.607911.022700e-08
0.4002081.6078541.023233e-08
0.4022021.6073211.028338e-08
0.4042061.6067961.033468e-08
0.4051.606591.035500e-08
0.406221.6062771.027658e-08
0.4082451.6057661.014653e-08
0.4102791.6052621.001583e-08
0.4123231.6047649.884476e-09
0.4143771.6042739.752470e-09
0.4164421.6037899.619805e-09
0.4185171.6033129.486479e-09
0.421.6029769.391200e-09
0.4206021.602849.352073e-09
0.4226981.6023759.215969e-09
0.4248041.6019169.079186e-09
0.4269211.6014638.941722e-09
0.4290481.6010168.803573e-09
0.4311861.6005758.664735e-09
0.4333351.600148.525206e-09
0.4354941.599718.384981e-09
0.4361.599618.352100e-09
0.4376641.5992868.281909e-09
0.4398441.5988678.189900e-09
0.4420361.5984548.097433e-09
0.4442381.5980458.004504e-09
0.4464521.5976427.911113e-09
0.4486771.5972447.817256e-09
0.4509121.5968517.722932e-09
0.4531591.5964637.628138e-09
0.4554171.596087.532871e-09
0.4576861.5957027.437130e-09
0.4599671.5953287.340912e-09
0.461.5953227.339500e-09
0.4622581.5949597.285270e-09
0.4645621.5945947.229962e-09
0.4668761.5942347.174379e-09
0.4692031.5938787.118519e-09
0.4715411.5935277.062380e-09
0.473891.593187.005962e-09
0.4762511.5928376.949263e-09
0.4786241.5924986.892281e-09
0.4810091.5921636.835015e-09
0.4834061.5918326.777464e-09
0.4858151.5915056.719626e-09
0.4882351.5911826.661500e-09
0.4906681.5908636.603084e-09
0.4931131.5905486.544377e-09
0.495571.5902366.485378e-09
0.4980391.5899286.426084e-09
0.51.5896876.379000e-09
0.5005211.5896236.369254e-09
0.5030151.5893226.322580e-09
0.5055211.5890256.275673e-09
0.508041.5887316.228532e-09
0.5105711.588446.181156e-09
0.5131151.5881536.133544e-09
0.5156721.5878696.085695e-09
0.5182411.5875886.037608e-09
0.5208241.5873115.989281e-09
0.5234191.5870365.940713e-09
0.5260271.5867655.891903e-09
0.5286481.5864965.842850e-09
0.5312821.5862315.793552e-09
0.5339291.5859695.744009e-09
0.536591.5857095.694219e-09
0.5392631.5854535.644181e-09
0.541951.5851995.593894e-09
0.5446511.5849485.543356e-09
0.5461.5848245.518100e-09
0.5473641.58475.519256e-09
0.5500921.5844555.521566e-09
0.5528331.5842125.523888e-09
0.5555871.5839725.526221e-09
0.5583561.5837345.528566e-09
0.5611381.5834995.530922e-09
0.5639341.5832675.533291e-09
0.5667441.5830375.535671e-09
0.5695671.582815.538063e-09
0.5724051.5825855.540467e-09
0.5752571.5823625.542883e-09
0.5781241.5821425.545311e-09
0.581.5825.546900e-09
0.5810041.5819245.506826e-09
0.5838991.5817085.391324e-09
0.5868091.5814955.275247e-09
0.5897331.5812845.158591e-09
0.5926711.5810755.041354e-09
0.5956241.5808684.923533e-09
0.5985921.5806644.805125e-09
0.6015751.5804614.686127e-09
0.6045721.5802614.566536e-09
0.6075841.5800634.446349e-09
0.6106121.5798664.325563e-09
0.6136541.5796724.204176e-09
0.6167121.579484.082183e-09
0.6197851.5792893.959583e-09
0.621.5792763.951000e-09
0.6228731.5791013.969309e-09
0.6259771.5789143.989086e-09
0.6290961.5787294.008962e-09
0.632231.5785464.028937e-09
0.635381.5783654.049012e-09
0.6385461.5781864.069187e-09
0.6417281.5780094.089462e-09
0.6449261.5778334.109838e-09
0.6481391.5776594.130316e-09
0.6513691.5774864.150896e-09
0.6546141.5773164.171578e-09
0.6578761.5771474.192364e-09
0.661.5770384.205900e-09
0.6611541.5769794.213253e-09
0.6644481.5768134.234246e-09
0.6677591.5766494.255343e-09
0.6710861.5764864.276546e-09
0.674431.5763254.297855e-09
0.677791.5761664.319269e-09
0.6811681.5760074.340790e-09
0.6845621.5758514.362419e-09
0.6879731.5756964.384155e-09
0.6914011.5755424.406000e-09
0.6948461.575394.427953e-09
0.6983081.5752394.450016e-09
0.71.5751664.460800e-09
0.7017871.5750894.472189e-09
0.7052841.5749414.494472e-09
0.7087981.5747944.516866e-09
0.712331.5746484.539372e-09
0.7158791.5745044.561990e-09
0.7194461.5743614.584721e-09
0.7230311.5742194.607565e-09
0.7266341.5740794.630523e-09
0.7302541.573944.653595e-09
0.7338931.5738024.676782e-09
0.737551.5736654.700085e-09
0.7412251.5735294.723504e-09
0.7449181.5733954.747039e-09
0.748631.5732614.770692e-09
0.752361.5731294.794462e-09
0.7561091.5729984.818351e-09
0.7598761.5728684.842360e-09
0.7636621.5727394.866487e-09
0.7674671.5726114.890735e-09
0.7712911.5724844.915104e-09
0.7751341.5723584.939594e-09
0.7789971.5722344.964206e-09
0.7828781.572114.988941e-09
0.7867791.5719875.013799e-09
0.7906991.5718655.038781e-09
0.7946391.5717445.063887e-09
0.7985991.5716245.089119e-09
0.8025781.5715065.114476e-09
0.8065771.5713875.139960e-09
0.8105961.571275.165570e-09
0.8146351.5711545.191308e-09
0.8186941.5710395.217175e-09
0.8227731.5709245.243170e-09
0.8268721.570815.269295e-09
0.8309931.5706975.295550e-09
0.8351331.5705855.321936e-09
0.8392941.5704745.348453e-09
0.8434761.5703645.375102e-09
0.8476791.5702545.401885e-09
0.8519031.5701455.428800e-09
0.8561481.5700375.455850e-09
0.8604131.569935.483035e-09
0.8647011.5698235.510355e-09
0.8690091.5697175.537811e-09
0.8733391.5696125.565404e-09
0.8776911.5695075.593134e-09
0.8820641.5694035.621003e-09
0.8864591.56935.649010e-09
0.8908761.5691985.677157e-09
0.8953151.5690965.705444e-09
0.8997761.5689955.733872e-09
0.9042591.5688945.762442e-09
0.9087651.5687945.791154e-09
0.9132931.5686945.820010e-09
0.9178441.5685965.849009e-09
0.9224171.5684975.878152e-09
0.9270131.56845.907441e-09
0.9316321.5683035.936876e-09
0.9362741.5682065.966457e-09
0.9409391.568115.996186e-09
0.9456281.5680146.026062e-09
0.9503391.5679196.056088e-09
0.9550751.5678256.086263e-09
0.9598341.5677316.116589e-09
0.9646161.5676376.147066e-09
0.9694221.5675446.177695e-09
0.9742531.5674526.208476e-09
0.9791071.567366.239410e-09
0.9839861.5672686.270499e-09
0.9888891.5671776.301743e-09
0.9938161.5670866.333142e-09
0.9987681.5669956.364698e-09
1.003741.5669056.396411e-09
1.008751.5668166.428282e-09
1.013771.5667266.460312e-09
1.018821.5666376.492501e-09
1.02391.5665496.524851e-09
1.0291.5664616.557362e-09
1.034131.5663736.590035e-09
1.039281.5662856.622871e-09
1.044461.5661986.655870e-09
1.049661.5661116.689034e-09
1.054891.5660256.722363e-09
1.061.5659416.754900e-09
1.060151.5659386.765258e-09
1.065431.5658527.128991e-09
1.070741.5657677.494537e-09
1.076081.5656817.861904e-09
1.081441.5655968.231102e-09
1.086831.5655118.602139e-09
1.092241.5654268.975025e-09
1.097681.5653429.349769e-09
1.103151.5652589.726380e-09
1.108651.5651731.010487e-08
1.114171.565091.048524e-08
1.119731.5650061.086751e-08
1.125311.5649221.125168e-08
1.130911.5648391.163777e-08
1.136551.5647561.202578e-08
1.142211.5646731.241573e-08
1.14791.564591.280762e-08
1.153621.5645071.320146e-08
1.159371.5644251.359726e-08
1.165151.5643421.399503e-08
1.170951.564261.439479e-08
1.176791.5641781.479654e-08
1.182651.5640961.520029e-08
1.188541.5640141.560605e-08
1.194461.5639321.601384e-08
1.200421.563851.642365e-08
1.20641.5637681.683551e-08
1.212411.5636861.724942e-08
1.218451.5636041.766539e-08
1.224521.5635221.808344e-08
1.230621.5634411.850357e-08
1.236751.5633591.892579e-08
1.242921.5632771.935011e-08
1.249111.5631961.977655e-08
1.255331.5631142.020512e-08
1.261591.5630322.063582e-08
1.267871.562952.106866e-08
1.274191.5628692.150367e-08
1.280541.5627872.194084e-08
1.286921.5627052.238019e-08
1.293331.5626232.282172e-08
1.299781.5625412.326546e-08
1.306251.5624592.371141e-08
1.312761.5623762.415958e-08
1.31931.5622942.460998e-08
1.325881.5622122.506263e-08
1.332481.5621292.551754e-08
1.339121.5620462.597471e-08
1.34581.5619642.643415e-08
1.35251.5618812.689589e-08
1.359241.5617972.735993e-08
1.366011.5617142.782628e-08
1.372821.5616312.829495e-08
1.379661.5615472.876596e-08
1.386531.5614632.923932e-08
1.393441.5613792.971503e-08
1.400391.5612953.019312e-08
1.407361.5612113.067358e-08
1.414381.5611263.115644e-08
1.421421.5610413.164171e-08
1.428511.5609563.212940e-08
1.435621.560873.261951e-08
1.442781.5607853.311207e-08
1.449971.5606993.360708e-08
1.457191.5606123.410456e-08
1.464451.5605263.460451e-08
1.471751.5604393.510696e-08
1.479081.5603523.561191e-08
1.486451.5602643.611938e-08
1.493861.5601773.662937e-08
1.50131.5600893.714191e-08
1.508781.563.765700e-08
1.51631.5599113.817466e-08
1.523861.5598223.869490e-08
1.531.5597493.911800e-08
1.531451.5597324.186362e-08
1.539081.5596425.632994e-08
1.546751.5595527.086835e-08
1.554451.5594618.547920e-08
1.56221.559371.001628e-07
1.569981.5592781.149197e-07
1.577811.5591861.297500e-07
1.585671.5590941.446542e-07
1.593571.5590011.596327e-07
1.601511.5589071.746859e-07
1.609491.5588131.898140e-07
1.617511.5587192.050175e-07
1.625571.5586242.202968e-07
1.633671.5585282.356522e-07
1.641811.5584322.510841e-07
1.649991.5583362.665929e-07
1.658211.5582392.821790e-07
1.666471.5581412.978427e-07
1.674781.5580433.135845e-07
1.683121.5579443.294047e-07
1.691511.5578453.453038e-07
1.699941.5577453.612820e-07
1.708411.5576443.773399e-07
1.716921.5575433.934778e-07
1.725471.5574414.096961e-07
1.734071.5573394.259953e-07
1.742711.5572364.423756e-07
1.751391.5571324.588375e-07
1.760121.5570284.753815e-07
1.768891.5569224.920079e-07
1.777711.5568175.087172e-07
1.786561.556715.255097e-07
1.795461.5566035.423859e-07
1.804411.5564955.593461e-07
1.81341.5563865.763909e-07
1.822441.5562765.935206e-07
1.831521.5561666.107357e-07
1.840641.5560556.280365e-07
1.849821.5559436.454235e-07
1.859031.555836.628972e-07
1.86831.5557166.804579e-07
1.87761.5556026.981062e-07
1.886961.5554867.158424e-07
1.896361.555377.336669e-07
1.905811.5552537.515803e-07
1.915311.5551357.695829e-07
1.924851.5550167.876752e-07
1.934441.5548968.058577e-07
1.944081.5547758.241307e-07
1.953771.5546548.424948e-07
1.96351.5545318.609505e-07
1.971.5544498.732700e-07
1.973291.5544078.936458e-07
1.983121.5542829.546288e-07
1.9931.5541571.015916e-06
2.002931.554031.077508e-06
2.012911.5539021.139407e-06
2.022941.5537731.201614e-06
2.033021.5536431.264132e-06
2.043151.5535121.326961e-06
2.053331.553381.390103e-06
2.063561.5532471.453560e-06
2.073841.5531121.517333e-06
2.084181.5529771.581423e-06
2.094561.552841.645833e-06
2.1051.5527021.710564e-06
2.115491.5525631.775617e-06
2.126031.5524221.840995e-06
2.136621.5522811.906698e-06
2.147271.5521381.972729e-06
2.157961.5519932.039089e-06
2.168721.5518482.105779e-06
2.179521.5517012.172802e-06
2.190381.5515532.240158e-06
2.20131.5514032.307851e-06
2.212271.5512522.375880e-06
2.223291.55112.444249e-06
2.234371.5509462.512958e-06
2.24551.5507912.582009e-06
2.256691.5506342.651405e-06
2.267931.5504762.721146e-06
2.279231.5503172.791235e-06
2.290591.5501562.861673e-06
2.3021.5499932.932462e-06
2.313471.5498293.003604e-06
2.3251.5496633.075100e-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
—