Optical constants

Refractive index of LF5HTi (SCHOTT)

LF5HTi: n,k 0.31–2.5 µm

Data
formula 2 + tabulated k
Range
0.31–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 320-2500 nm only; k = 0 elsewhere in the n range 310-2500 nm.

At one wavelength

Range 0.31–2.5 µm
Refractive index n
1.58144
Extinction coefficient k
1.87131e-09
Permittivity ε1
2.50095
Permittivity ε2
5.91872e-09
Absorption coefficient α
0.000400196 cm⁻¹
Penetration depth δ = λ/(2πk)
4.99755e+10 nm
Abbe number Vd
40.89
Chromatic dispersion dn/dλ
-0.0723969 µm⁻¹
Group index ng
1.62398
Group velocity dispersion
137.84 fs²/mm
Dispersion parameter D
-751.988 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

# LF5HTi (SCHOTT): LF5HTi
schott_lf5hti = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "LF5HTi", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_lf5hti.range_nm)  # (310, 2500) nm
eps = schott_lf5hti.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=1.28552924λ2λ2−0.0093988626+0.158357622λ2λ2−0.0452566659+0.892175122λ2λ2−110.544829

Valid from 0.31 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.28552924
C30.0093988626
C40.158357622
C50.0452566659
C60.892175122
C7110.544829

Comments and conditions

i-line glass

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.26e-06 1.17e-08 -4.14e-11 8.24e-07 7.78e-10 0.232
nd
1.58144
Vd
40.89
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
-0.0004
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 = 5.46e-08 K⁻¹ at 633 nm, dn/dT = -8.14e-07 K⁻¹ at 1310 nm, dn/dT = -8.77e-07 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 320-2500 nm only; k = 0 elsewhere in the n range 310-2500 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 422 wavelengths, the same grid as the API and the library
LF5HTi (SCHOTT), LF5HTi: n and k versus wavelength
λ (µm)nk
0.311.6502810
0.3116261.6489580
0.3132611.6476650
0.3149041.6463990
0.3165561.645160
0.3182161.6439470
0.3198851.6427590
0.321.6426792.464100e-06
0.3215631.6415962.223089e-06
0.323251.6404561.963058e-06
0.3249461.6393381.701663e-06
0.326651.6382431.438897e-06
0.3283641.6371691.174753e-06
0.3300861.6361169.092231e-07
0.3318181.6350836.423003e-07
0.3335581.634073.739774e-07
0.3341.6338163.058500e-07
0.3353081.6330762.843794e-07
0.3370671.63212.555025e-07
0.3388351.6311422.264741e-07
0.3406121.6302021.972935e-07
0.3423991.6292781.679598e-07
0.3441951.6283721.384723e-07
0.3461.6274811.088301e-07
0.3478151.6266067.903236e-08
0.349641.6257474.907834e-08
0.351.6255794.316100e-08
0.3514741.6249023.995276e-08
0.3533171.6240723.593890e-08
0.3551711.6232563.190398e-08
0.3570341.6224542.784790e-08
0.3589061.6216652.377054e-08
0.3607891.6208891.967179e-08
0.3626821.6201271.555155e-08
0.3645841.6193771.140969e-08
0.3651.6192151.050400e-08
0.3664961.6186399.836360e-09
0.3684191.6179138.978641e-09
0.371.6173278.273200e-09
0.3703511.6171988.195539e-09
0.3722941.6164967.766190e-09
0.3742471.6158047.334588e-09
0.376211.6151236.900723e-09
0.3781831.6144536.464582e-09
0.381.6138486.063100e-09
0.3801671.6137936.044920e-09
0.3821611.6131445.828056e-09
0.3841661.6125045.610053e-09
0.3861811.6118745.390908e-09
0.3882071.6112545.170613e-09
0.391.6107164.975600e-09
0.3902431.6106434.947640e-09
0.392291.6100424.712213e-09
0.3943481.6094494.475552e-09
0.3964161.6088654.237649e-09
0.3984961.608293.998498e-09
0.41.6078813.825500e-09
0.4005861.6077233.831103e-09
0.4026871.6071653.851191e-09
0.40481.6066143.871385e-09
0.4051.6065633.873300e-09
0.4069231.6060723.891684e-09
0.4090581.6055373.912090e-09
0.4112031.605013.932603e-09
0.413361.6044913.953223e-09
0.4155281.6039793.973952e-09
0.4177081.6034743.994789e-09
0.4198991.6029764.015736e-09
0.421.6029534.016700e-09
0.4221021.6024853.854039e-09
0.4243161.6020013.682680e-09
0.4265421.6015243.510422e-09
0.4287791.6010533.337260e-09
0.4310281.6005893.163190e-09
0.4332891.6001312.988207e-09
0.4355621.5996792.812306e-09
0.4361.5995932.778400e-09
0.4378471.5992332.790172e-09
0.4401431.5987932.804814e-09
0.4424521.598362.819532e-09
0.4447731.5979322.834328e-09
0.4471061.597512.849201e-09
0.4494511.5970932.864152e-09
0.4518091.5966822.879182e-09
0.4541791.5962762.894290e-09
0.4565611.5958752.909478e-09
0.4589561.595482.924745e-09
0.461.595312.931400e-09
0.4613641.595092.940089e-09
0.4637841.5947052.955511e-09
0.4662161.5943252.971014e-09
0.4686621.593952.986598e-09
0.471121.5935793.002264e-09
0.4735921.5932143.018012e-09
0.4760761.5928533.033843e-09
0.4785731.5924963.049756e-09
0.4810831.5921443.065753e-09
0.4836071.5917973.081834e-09
0.4861441.5914533.098000e-09
0.4886941.5911143.114250e-09
0.4912571.590783.130586e-09
0.4938341.5904493.147007e-09
0.4964241.5901233.163514e-09
0.4990281.58983.180108e-09
0.51.5896813.186300e-09
0.5016461.5894813.134507e-09
0.5042771.5891673.051704e-09
0.5069221.5888562.968468e-09
0.5095821.5885492.884794e-09
0.5122551.5882462.800682e-09
0.5149421.5879462.716129e-09
0.5176431.587652.631132e-09
0.5203581.5873572.545689e-09
0.5230871.5870682.459798e-09
0.5258311.5867822.373457e-09
0.528591.58652.286662e-09
0.5313621.5862212.199412e-09
0.5341491.5859452.111705e-09
0.5369511.5856732.023538e-09
0.5397681.5854041.934908e-09
0.5425991.5851371.845813e-09
0.5454451.5848741.756251e-09
0.5461.5848241.738800e-09
0.5483071.5846141.746147e-09
0.5511831.5843571.755308e-09
0.5540741.5841031.764518e-09
0.556981.5838521.773775e-09
0.5599021.5836041.783082e-09
0.5628391.5833581.792437e-09
0.5657911.5831161.801841e-09
0.5687591.5828761.811294e-09
0.5717421.5826381.820797e-09
0.5747421.5824041.830350e-09
0.5777561.5821721.839953e-09
0.581.5820021.847100e-09
0.5807871.5819421.849606e-09
0.5838331.5817151.859309e-09
0.5868961.5814911.869063e-09
0.5899741.5812691.878869e-09
0.5930691.581051.888725e-09
0.596181.5808331.898634e-09
0.5993071.5806181.908594e-09
0.6024511.5804061.918606e-09
0.6056111.5801961.928671e-09
0.6087881.5799881.938789e-09
0.6119811.5797821.948960e-09
0.6151911.5795791.959184e-09
0.6184181.5793781.969462e-09
0.621.579281.974500e-09
0.6216621.5791781.979794e-09
0.6249231.5789811.990180e-09
0.6282011.5787872.000621e-09
0.6314961.5785942.011116e-09
0.6348091.5784032.021666e-09
0.6381391.5782142.032272e-09
0.6414861.5780272.042933e-09
0.6448511.5778422.053650e-09
0.6482341.5776592.064424e-09
0.6516341.5774782.075254e-09
0.6550521.5772982.086140e-09
0.6584881.5771212.097084e-09
0.661.5770442.101900e-09
0.6619421.5769452.108085e-09
0.6654141.5767712.119144e-09
0.6689051.5765992.130261e-09
0.6724131.5764282.141437e-09
0.6759411.576262.152671e-09
0.6794861.5760932.163963e-09
0.683051.5759272.175315e-09
0.6866331.5757632.186727e-09
0.6902351.5756012.198199e-09
0.6938561.575442.209730e-09
0.6974951.5752812.221322e-09
0.71.5751732.229300e-09
0.7011541.5751232.232975e-09
0.7048321.5749672.244688e-09
0.7085291.5748132.256462e-09
0.7122461.5746592.268299e-09
0.7159821.5745082.280197e-09
0.7197371.5743572.292158e-09
0.7235131.5742082.304181e-09
0.7273081.5740612.316268e-09
0.7311231.5739152.328418e-09
0.7349581.573772.340631e-09
0.7388131.5736262.352909e-09
0.7426891.5734842.365251e-09
0.7465841.5733432.377658e-09
0.7505011.5732032.390130e-09
0.7544371.5730652.402668e-09
0.7583951.5729282.415271e-09
0.7623731.5727922.427940e-09
0.7663721.5726572.440676e-09
0.7703921.5725232.453478e-09
0.7744331.572392.466348e-09
0.7784951.5722592.479285e-09
0.7825791.5721292.492290e-09
0.7866841.5722.505363e-09
0.790811.5718712.518505e-09
0.7949581.5717442.531716e-09
0.7991281.5716182.544996e-09
0.803321.5714932.558346e-09
0.8075341.5713692.571766e-09
0.811771.5712462.585256e-09
0.8160281.5711242.598817e-09
0.8203081.5710032.612449e-09
0.8246111.5708832.626152e-09
0.8289371.5707642.639928e-09
0.8332851.5706462.653775e-09
0.8376561.5705282.667696e-09
0.842051.5704122.681689e-09
0.8464671.5702962.695756e-09
0.8509071.5701822.709896e-09
0.855371.5700682.724111e-09
0.8598571.5699552.738400e-09
0.8643671.5698422.752765e-09
0.8689011.5697312.767204e-09
0.8734591.569622.781720e-09
0.8780411.569512.796311e-09
0.8826471.5694012.810979e-09
0.8872771.5692932.825724e-09
0.8919311.5691852.840546e-09
0.8966091.5690782.855446e-09
0.9013131.5689722.870425e-09
0.906041.5688662.885481e-09
0.9107931.5687612.900617e-09
0.9155711.5686572.915832e-09
0.9203731.5685532.931127e-09
0.9252011.568452.946502e-09
0.9300541.5683482.961958e-09
0.9349331.5682462.977495e-09
0.9398371.5681452.993113e-09
0.9447671.5680443.008814e-09
0.9497221.5679443.024596e-09
0.9547041.5678453.040462e-09
0.9597121.5677463.056411e-09
0.9647461.5676483.072443e-09
0.9698071.567553.088559e-09
0.9748941.5674523.104760e-09
0.9800081.5673563.121046e-09
0.9851481.5672593.137418e-09
0.9903161.5671633.153875e-09
0.995511.5670683.170419e-09
1.000731.5669733.187049e-09
1.005981.5668793.203767e-09
1.011261.5667843.220572e-09
1.016561.5666913.237465e-09
1.02191.5665973.254447e-09
1.027261.5665053.271519e-09
1.032641.5664123.288679e-09
1.038061.566323.305930e-09
1.043511.5662283.323271e-09
1.048981.5661373.340703e-09
1.054481.5660463.358227e-09
1.061.5659553.375800e-09
1.060011.5659553.376953e-09
1.065571.5658653.857907e-09
1.071161.5657744.341384e-09
1.076781.5656854.827397e-09
1.082431.5655955.315959e-09
1.088111.5655065.807084e-09
1.093821.5654176.300786e-09
1.099551.5653286.797077e-09
1.105321.5652397.295971e-09
1.111121.5651517.797482e-09
1.116951.5650638.301624e-09
1.122811.5649758.808410e-09
1.12871.5648879.317855e-09
1.134621.56489.829971e-09
1.140571.5647131.034477e-08
1.146551.5646261.086228e-08
1.152561.5645391.138250e-08
1.158611.5644521.190544e-08
1.164691.5643651.243113e-08
1.17081.5642781.295958e-08
1.176941.5641921.349080e-08
1.183111.5641061.402481e-08
1.189321.5640191.456161e-08
1.195561.5639331.510124e-08
1.201831.5638471.564369e-08
1.208131.5637611.618899e-08
1.214471.5636751.673715e-08
1.220841.5635891.728818e-08
1.227241.5635031.784211e-08
1.233681.5634171.839894e-08
1.240151.5633311.895869e-08
1.246661.5632451.952138e-08
1.25321.5631592.008702e-08
1.259771.5630742.065562e-08
1.266381.5629882.122721e-08
1.273021.5629022.180180e-08
1.27971.5628162.237940e-08
1.286411.5627292.296003e-08
1.293161.5626432.354371e-08
1.299941.5625572.413044e-08
1.306761.5624712.472026e-08
1.313621.5623842.531317e-08
1.320511.5622982.590919e-08
1.327431.5622112.650834e-08
1.33441.5621242.711063e-08
1.34141.5620372.771607e-08
1.348431.561952.832470e-08
1.355511.5618632.893651e-08
1.362621.5617752.955154e-08
1.369761.5616883.016979e-08
1.376951.56163.079129e-08
1.384171.5615123.141604e-08
1.391431.5614243.204408e-08
1.398731.5613353.267540e-08
1.406071.5612473.331004e-08
1.413441.5611583.394801e-08
1.420861.5610683.458932e-08
1.428311.5609793.523400e-08
1.43581.5608893.588206e-08
1.443331.5607993.653352e-08
1.45091.5607093.718839e-08
1.458521.5606183.784670e-08
1.466171.5605273.850847e-08
1.473861.5604363.917370e-08
1.481591.5603443.984243e-08
1.489361.5602524.051466e-08
1.497171.560164.119042e-08
1.505031.5600674.186972e-08
1.512921.5599744.255259e-08
1.520861.559884.323904e-08
1.528831.5597864.392909e-08
1.531.5597724.403000e-08
1.536851.5596925.898739e-08
1.544911.5595977.658294e-08
1.553021.5595019.427079e-08
1.561161.5594061.120514e-07
1.569351.5593091.299253e-07
1.577591.5592131.478930e-07
1.585861.5591151.659549e-07
1.594181.5590181.841115e-07
1.602541.5589192.023634e-07
1.610951.5588212.207110e-07
1.61941.5587212.391549e-07
1.627891.5586212.576955e-07
1.636431.5585212.763334e-07
1.645021.558422.950690e-07
1.653641.5583183.139029e-07
1.662321.5582163.328356e-07
1.671041.5581133.518676e-07
1.67981.558013.709995e-07
1.688611.5579063.902317e-07
1.697471.5578014.095648e-07
1.706381.5576954.289993e-07
1.715331.5575894.485357e-07
1.724321.5574824.681746e-07
1.733371.5573754.879166e-07
1.742461.5572665.077620e-07
1.75161.5571575.277116e-07
1.760791.5570485.477659e-07
1.770031.5569375.679253e-07
1.779311.5568265.881905e-07
1.788641.5567146.085619e-07
1.798031.5566016.290403e-07
1.807461.5564876.496260e-07
1.816941.5563726.703197e-07
1.826471.5562576.911220e-07
1.836051.556147.120334e-07
1.845681.5560237.330545e-07
1.855361.5559057.541859e-07
1.865091.5557867.754280e-07
1.874881.5556667.967817e-07
1.884711.5555458.182473e-07
1.89461.5554238.398255e-07
1.904541.55538.615169e-07
1.914531.5551778.833221e-07
1.924571.5550529.052417e-07
1.934671.5549269.272763e-07
1.944811.5547999.494264e-07
1.955011.5546719.716927e-07
1.965271.5545429.940759e-07
1.971.5544821.004400e-06
1.975581.5544121.042720e-06
1.985941.554281.113903e-06
1.996361.5541481.185459e-06
2.006831.5540141.257390e-06
2.017361.553881.329698e-06
2.027941.5537441.402386e-06
2.038581.5536071.475455e-06
2.049271.5534681.548908e-06
2.060021.5533291.622746e-06
2.070831.5531881.696971e-06
2.081691.5530461.771585e-06
2.092611.5529031.846591e-06
2.103581.5527581.921990e-06
2.114621.5526121.997785e-06
2.125711.5524642.073977e-06
2.136861.5523162.150569e-06
2.148071.5521652.227563e-06
2.159341.5520142.304960e-06
2.170661.5518612.382764e-06
2.182051.5517062.460976e-06
2.19351.551552.539597e-06
2.2051.5513932.618632e-06
2.216571.5512342.698081e-06
2.22821.5510732.777946e-06
2.239881.5509112.858231e-06
2.251631.5507472.938937e-06
2.263441.5505823.020066e-06
2.275321.5504153.101621e-06
2.287251.5502463.183603e-06
2.299251.5500763.266015e-06
2.311311.5499043.348860e-06
2.323431.549733.432140e-06
2.3251.5497073.442900e-06
2.335621.5495543.538750e-06
2.347871.5493773.649314e-06
2.360191.5491983.760458e-06
2.372571.5490173.872185e-06
2.385011.5488343.984498e-06
2.397521.5486494.097400e-06
2.41011.5484624.210894e-06
2.422741.5482734.324984e-06
2.435451.5480834.439672e-06
2.448231.547894.554962e-06
2.461071.5476954.670856e-06
2.473981.5474984.787359e-06
2.486951.5472994.904472e-06
2.51.5470985.022200e-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
—