Optical constants

Refractive index of LLF1HTi (SCHOTT)

LLF1HTi: n,k 0.3–2.5 µm

Data
formula 2 + tabulated k
Range
0.3–2.5 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 310-2500 nm only; k = 0 elsewhere in the n range 300-2500 nm.

At one wavelength

Range 0.3–2.5 µm
Refractive index n
1.54815
Extinction coefficient k
2.94820e-09
Permittivity ε1
2.39676
Permittivity ε2
9.12848e-09
Absorption coefficient α
0.000630499 cm⁻¹
Penetration depth δ = λ/(2πk)
3.17209e+10 nm
Abbe number Vd
45.9
Chromatic dispersion dn/dλ
-0.0610612 µm⁻¹
Group index ng
1.58403
Group velocity dispersion
113.319 fs²/mm
Dispersion parameter D
-618.217 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

# LLF1HTi (SCHOTT): LLF1HTi
schott_llf1hti = ls.fetch_refractiveindex("specs", "SCHOTT-optical", "LLF1HTi", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(schott_llf1hti.range_nm)  # (300, 2500) nm
eps = schott_llf1hti.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=1.22510445λ2λ2−0.00870432098+0.125155671λ2λ2−0.0427325235+0.892236751λ2λ2−108.049968

Valid from 0.3 to 2.5 µm.

Coefficients as stored
CiValue
C10.0
C21.22510445
C30.00870432098
C40.125155671
C50.0427325235
C60.892236751
C7108.049968

Comments and conditions

i-line glass

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.55e-07 1.41e-08 -3.32e-11 6.74e-07 6.27e-10 0.227
nd
1.54815
Vd
45.9
glass code
548459.294
glass status
standard
density
value: 2940
thermal expansion
value: 8.1e-06, temperature range: 243 343; value: 9.2e-06, temperature range: 293 573
dPgF
-0.001
resistance
acid: 1.0; stain: 0.0; alkali: 2.0; climatic: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 9.82e-07 K⁻¹ at 633 nm, dn/dT = 2.90e-07 K⁻¹ at 1310 nm, dn/dT = 2.37e-07 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 310-2500 nm only; k = 0 elsewhere in the n range 300-2500 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 423 wavelengths, the same grid as the API and the library
LLF1HTi (SCHOTT), LLF1HTi: n and k versus wavelength
λ (µm)nk
0.31.6105390
0.3015981.609360
0.3032051.6082060
0.3048211.6070770
0.3064451.6059720
0.3080781.604890
0.3097191.603830
0.311.6036513.601300e-06
0.3113691.6027923.222328e-06
0.3130281.6017742.763221e-06
0.3146961.6007772.301667e-06
0.3163731.59981.837654e-06
0.3180591.5988421.371168e-06
0.3197531.5979029.021976e-07
0.321.5977678.339300e-07
0.3214571.596987.597882e-07
0.323171.5960766.726311e-07
0.3248921.5951885.850098e-07
0.3266231.5943174.969215e-07
0.3283631.5934624.083639e-07
0.3301121.5926233.193345e-07
0.3318711.5917982.298307e-07
0.333641.5909891.398501e-07
0.3341.5908261.215100e-07
0.3354171.5901941.125393e-07
0.3372041.5894121.012274e-07
0.3390011.5886448.985528e-08
0.3408071.587897.842254e-08
0.3426231.5871496.692888e-08
0.3444491.586425.537399e-08
0.3462841.5857034.375753e-08
0.3481291.5849983.207917e-08
0.3499841.5843052.033860e-08
0.351.5842992.023600e-08
0.3518491.5836241.875432e-08
0.3537231.5829531.725169e-08
0.3556081.5822941.574106e-08
0.3575031.5816451.422237e-08
0.3594071.5810061.269559e-08
0.3613221.5803781.116068e-08
0.3632481.579769.617591e-09
0.3651.5792088.212900e-09
0.3651831.5791518.167491e-09
0.3671291.5785527.684484e-09
0.3690851.5779627.198903e-09
0.371.577696.971700e-09
0.3710511.5773816.844739e-09
0.3730281.5768096.605978e-09
0.3750161.5762466.365944e-09
0.3770141.5756916.124631e-09
0.3790231.5751455.882033e-09
0.381.5748835.764000e-09
0.3810421.5746075.668593e-09
0.3830721.5740765.482726e-09
0.3851131.5735545.295869e-09
0.3871651.5730395.108015e-09
0.3892281.5725324.919161e-09
0.391.5723454.848500e-09
0.3913021.5720334.786485e-09
0.3933871.571544.687182e-09
0.3954831.5710554.587350e-09
0.397591.5705764.486985e-09
0.3997081.5701044.386086e-09
0.41.570044.372200e-09
0.4018381.5696394.336650e-09
0.4039791.5691814.295243e-09
0.4051.5689664.275500e-09
0.4061321.5687294.258911e-09
0.4082961.5682834.227188e-09
0.4104711.5678444.195296e-09
0.4126581.5674114.163234e-09
0.4148571.5669834.131002e-09
0.4170671.5665624.098597e-09
0.4192891.5661464.066020e-09
0.421.5660154.055600e-09
0.4215231.5657364.042215e-09
0.4237691.5653314.022479e-09
0.4260271.5649324.002638e-09
0.4282971.5645393.982691e-09
0.4305791.564153.962638e-09
0.4328731.5637673.942478e-09
0.4351791.5633893.922210e-09
0.4361.5632563.915000e-09
0.4374981.5630153.897478e-09
0.4398291.5626473.870215e-09
0.4421731.5622843.842806e-09
0.4445291.5619253.815251e-09
0.4468971.5615713.787550e-09
0.4492781.5612213.759701e-09
0.4516721.5608763.731703e-09
0.4540781.5605363.703557e-09
0.4564981.56023.675260e-09
0.458931.5598683.646813e-09
0.461.5597243.634300e-09
0.4613751.559543.621416e-09
0.4638341.5592173.598389e-09
0.4663051.5588973.575238e-09
0.4687891.5585823.551965e-09
0.4712871.558273.528567e-09
0.4737981.5579633.505045e-09
0.4763231.5576593.481397e-09
0.4788611.5573593.457623e-09
0.4814121.5570633.433723e-09
0.4839771.556773.409695e-09
0.4865561.5564813.385540e-09
0.4891481.5561953.361255e-09
0.4917541.5559133.336841e-09
0.4943741.5556353.312298e-09
0.4970081.5553593.287623e-09
0.4996571.5550873.262817e-09
0.51.5550523.259600e-09
0.5023191.5548193.239875e-09
0.5049951.5545533.217108e-09
0.5076861.5542913.194220e-09
0.5103911.5540323.171210e-09
0.513111.5537753.148077e-09
0.5158441.5535223.124821e-09
0.5185931.5532723.101441e-09
0.5213561.5530253.077937e-09
0.5241341.5527813.054307e-09
0.5269261.5525393.030552e-09
0.5297341.55233.006670e-09
0.5325561.5520642.982660e-09
0.5353941.5518312.958523e-09
0.5382461.5516012.934257e-09
0.5411141.5513732.909862e-09
0.5439971.5511472.885337e-09
0.5461.5509932.868300e-09
0.5468961.5509252.869351e-09
0.549811.5507042.872771e-09
0.5527391.5504872.876208e-09
0.5556841.5502712.879665e-09
0.5586451.5500582.883139e-09
0.5616211.5498482.886632e-09
0.5646141.549642.890144e-09
0.5676221.5494342.893674e-09
0.5706461.549232.897223e-09
0.5736871.5490292.900791e-09
0.5767431.548832.904378e-09
0.5798161.5486332.907985e-09
0.581.5486212.908200e-09
0.5829061.5484382.923491e-09
0.5860111.5482452.939835e-09
0.5891341.5480542.956267e-09
0.5922731.5478662.972785e-09
0.5954281.5476792.989392e-09
0.5986011.5474943.006087e-09
0.601791.5473123.022872e-09
0.6049971.5471313.039745e-09
0.608221.5469523.056709e-09
0.6114611.5467753.073763e-09
0.6147191.54663.090908e-09
0.6179941.5464273.108144e-09
0.621.5463223.118700e-09
0.6212871.5462553.120025e-09
0.6245971.5460863.123435e-09
0.6279251.5459183.126863e-09
0.6312711.5457513.130309e-09
0.6346341.5455873.133773e-09
0.6380151.5454243.137256e-09
0.6414151.5452623.140757e-09
0.6448321.5451033.144277e-09
0.6482681.5449453.147816e-09
0.6517221.5447883.151374e-09
0.6551951.5446333.154950e-09
0.6586851.544483.158546e-09
0.661.5444233.159900e-09
0.6621951.5443283.139069e-09
0.6657231.5441773.105586e-09
0.669271.5440293.071925e-09
0.6728361.5438813.038084e-09
0.6764211.5437353.004063e-09
0.6800251.543592.969861e-09
0.6836481.5434472.935477e-09
0.6872911.5433052.900909e-09
0.6909531.5431642.866157e-09
0.6946341.5430252.831220e-09
0.6983351.5428872.796097e-09
0.71.5428252.780300e-09
0.7020561.542752.776874e-09
0.7057971.5426142.770640e-09
0.7095571.542482.764374e-09
0.7133381.5423472.758074e-09
0.7171391.5422152.751740e-09
0.720961.5420842.745373e-09
0.7248011.5419552.738972e-09
0.7286631.5418262.732537e-09
0.7325451.5416992.726067e-09
0.7364481.5415732.719563e-09
0.7403721.5414472.713024e-09
0.7443171.5413232.706451e-09
0.7482831.54122.699842e-09
0.752271.5410782.693199e-09
0.7562781.5409582.686519e-09
0.7603071.5408382.679805e-09
0.7643581.5407192.673054e-09
0.7684311.5406012.666268e-09
0.7725251.5404842.659445e-09
0.7766411.5403682.652586e-09
0.7807791.5402532.645691e-09
0.7849391.5401382.638758e-09
0.7891211.5400252.631789e-09
0.7933261.5399132.624783e-09
0.7975531.5398012.617739e-09
0.8018021.539692.610658e-09
0.8060741.539582.603539e-09
0.8103691.5394712.596382e-09
0.8146871.5393632.589187e-09
0.8190281.5392552.581954e-09
0.8233911.5391492.574682e-09
0.8277791.5390432.567371e-09
0.8321891.5389382.560022e-09
0.8366231.5388332.552633e-09
0.8410811.5387292.545205e-09
0.8455621.5386262.537737e-09
0.8500671.5385242.530230e-09
0.8545961.5384222.522682e-09
0.859151.5383212.515094e-09
0.8637271.5382212.507466e-09
0.8683291.5381212.499798e-09
0.8729561.5380222.492088e-09
0.8776071.5379242.484337e-09
0.8822831.5378262.476545e-09
0.8869841.5377292.468712e-09
0.891711.5376322.460837e-09
0.8964611.5375362.452919e-09
0.9012381.5374412.444960e-09
0.9060391.5373462.436958e-09
0.9108671.5372512.428914e-09
0.915721.5371572.420827e-09
0.9205991.5370642.412696e-09
0.9255041.5369712.404523e-09
0.9304351.5368782.396305e-09
0.9353931.5367862.388044e-09
0.9403771.5366952.379739e-09
0.9453871.5366042.371390e-09
0.9504241.5365132.362996e-09
0.9554881.5364232.354558e-09
0.9605791.5363332.346074e-09
0.9656971.5362442.337546e-09
0.9708421.5361552.328971e-09
0.9760151.5360662.320352e-09
0.9812151.5359782.311686e-09
0.9864431.535892.302974e-09
0.9916991.5358032.294216e-09
0.9969831.5357152.285411e-09
1.00231.5356282.276559e-09
1.007641.5355422.267660e-09
1.0131.5354562.258713e-09
1.01841.535372.249719e-09
1.023831.5352842.240677e-09
1.029281.5351992.231587e-09
1.034771.5351132.222448e-09
1.040281.5350282.213261e-09
1.045821.5349442.204025e-09
1.05141.5348592.194739e-09
1.0571.5347752.185404e-09
1.061.534732.180400e-09
1.062631.5346912.442076e-09
1.068291.5346073.005672e-09
1.073981.5345243.572270e-09
1.07971.534444.141887e-09
1.085461.5343574.714539e-09
1.091241.5342745.290242e-09
1.097061.5341915.869012e-09
1.10291.5341086.450866e-09
1.108781.5340267.035821e-09
1.114681.5339437.623892e-09
1.120621.533868.215096e-09
1.126591.5337788.809450e-09
1.13261.5336969.406972e-09
1.138631.5336141.000768e-08
1.14471.5335311.061158e-08
1.15081.5334491.121870e-08
1.156931.5333671.182906e-08
1.163091.5332851.244267e-08
1.169291.5332031.305955e-08
1.175521.5331211.367972e-08
1.181781.5330391.430319e-08
1.188081.5329581.492998e-08
1.194411.5328761.556011e-08
1.200771.5327941.619360e-08
1.207171.5327121.683047e-08
1.21361.5326291.747072e-08
1.220071.5325471.811439e-08
1.226571.5324651.876149e-08
1.233111.5323831.941204e-08
1.239681.53232.006605e-08
1.246281.5322182.072355e-08
1.252921.5321352.138455e-08
1.25961.5320532.204907e-08
1.266311.531972.271713e-08
1.273061.5318872.338876e-08
1.279841.5318042.406396e-08
1.286661.5317212.474276e-08
1.293511.5316372.542517e-08
1.30041.5315542.611122e-08
1.307331.531472.680093e-08
1.31431.5313862.749431e-08
1.32131.5313022.819139e-08
1.328341.5312182.889217e-08
1.335421.5311332.959670e-08
1.342531.5310483.030498e-08
1.349691.5309633.101703e-08
1.356881.5308783.173287e-08
1.364111.5307923.245253e-08
1.371381.5307063.317602e-08
1.378681.530623.390337e-08
1.386031.5305343.463460e-08
1.393411.5304473.536972e-08
1.400841.530363.610875e-08
1.40831.5302723.685173e-08
1.415811.5301843.759866e-08
1.423351.5300963.834957e-08
1.430931.5300083.910449e-08
1.438561.5299193.986342e-08
1.446221.5298294.062640e-08
1.453931.529744.139345e-08
1.461671.529654.216458e-08
1.469461.5295594.293982e-08
1.477291.5294684.371919e-08
1.485161.5293774.450271e-08
1.493081.5292854.529041e-08
1.501031.5291924.608230e-08
1.509031.52914.687842e-08
1.517071.5290064.767877e-08
1.525151.5289124.848339e-08
1.531.5288564.896600e-08
1.533281.5288185.713139e-08
1.541451.5287237.748136e-08
1.549661.5286289.793974e-08
1.557921.5285321.185071e-07
1.566221.5284351.391841e-07
1.574561.5283381.599713e-07
1.582951.5282411.808692e-07
1.591391.5281422.018784e-07
1.599871.5280432.229996e-07
1.608391.5279442.442333e-07
1.616961.5278442.655802e-07
1.625571.5277432.870408e-07
1.634241.5276413.086157e-07
1.642941.5275393.303056e-07
1.65171.5274363.521111e-07
1.66051.5273333.740327e-07
1.669341.5272293.960712e-07
1.678241.5271244.182270e-07
1.687181.5270184.405009e-07
1.696171.5269114.628935e-07
1.705211.5268044.854054e-07
1.714291.5266965.080373e-07
1.723431.5265875.307897e-07
1.732611.5264775.536633e-07
1.741841.5263675.766589e-07
1.751121.5262555.997769e-07
1.760451.5261436.230181e-07
1.769831.526036.463832e-07
1.779261.5259166.698728e-07
1.788741.5258016.934875e-07
1.798271.5256857.172280e-07
1.807851.5255687.410950e-07
1.817491.5254517.650892e-07
1.827171.5253327.892112e-07
1.83691.5252128.134617e-07
1.846691.5250928.378415e-07
1.856531.524978.623512e-07
1.866421.5248478.869914e-07
1.876371.5247249.117629e-07
1.886371.5245999.366664e-07
1.896421.5244739.617026e-07
1.906521.5243469.868722e-07
1.916681.5242181.012176e-06
1.926891.5240881.037614e-06
1.937161.5239581.063189e-06
1.947481.5238261.088899e-06
1.957851.5236941.114746e-06
1.968291.523561.140731e-06
1.971.5235371.145000e-06
1.978771.5234241.216661e-06
1.989321.5232881.302776e-06
1.999921.523151.389349e-06
2.010571.5230111.476384e-06
2.021281.5228711.563882e-06
2.032051.5227291.651847e-06
2.042881.5225861.740281e-06
2.053771.5224421.829185e-06
2.064711.5222961.918563e-06
2.075711.5221492.008418e-06
2.086771.5222.098751e-06
2.097891.521852.189566e-06
2.109061.5216992.280864e-06
2.12031.5215462.372649e-06
2.13161.5213922.464923e-06
2.142961.5212362.557688e-06
2.154371.5210782.650948e-06
2.165851.5209192.744705e-06
2.177391.5207582.838961e-06
2.188991.5205962.933719e-06
2.200661.5204323.028983e-06
2.212381.5202663.124754e-06
2.224171.5200993.221035e-06
2.236021.519933.317829e-06
2.247931.5197593.415139e-06
2.259911.5195863.512967e-06
2.271951.5194123.611317e-06
2.284061.5192353.710190e-06
2.296231.5190573.809591e-06
2.308461.5188773.909521e-06
2.320761.5186954.009983e-06
2.3251.5186334.044600e-06
2.333131.5185124.130417e-06
2.345561.5183264.261683e-06
2.358061.5181384.393648e-06
2.370621.5179484.526315e-06
2.383251.5177564.659690e-06
2.395951.5175624.793776e-06
2.408711.5173664.928575e-06
2.421551.5171685.064093e-06
2.434451.5169685.200333e-06
2.447421.5167655.337299e-06
2.460461.5165615.474995e-06
2.473571.5163545.613425e-06
2.486751.5161445.752592e-06
2.51.5159335.892500e-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
—