Optical constants

Refractive index of E-LLF6 (HIKARI)

E-LLF6: n,k 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
296 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–0.7 µm
Refractive index n
1.53171
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.34615
Permittivity ε2
1.43316e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
48.863
Chromatic dispersion dn/dλ
-0.055717 µm⁻¹
Group index ng
1.56445
Group velocity dispersion
102.025 fs²/mm
Dispersion parameter D
-556.6 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

# E-LLF6 (HIKARI): E-LLF6
hikari_e_llf6 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LLF6", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_llf6.range_nm)  # (400, 700) nm
eps = hikari_e_llf6.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

Polynomial (formula 3), λ in µm
n2=2.30466−0.00864131348⁢λ2.0+0.0145944618⁢λ−2.0+0.000206597874⁢λ−4.0+1.88931616×10-5⁢λ−6.0+1.82626789×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.30466
C2-0.00864131348
C32.0
C40.0145944618
C5-2.0
C60.000206597874
C7-4.0
C81.88931616e-05
C9-6.0
C101.82626789e-07
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.531717
Vd
48.862886
glass code
532489
glass status
preferred
density
value: 2510
thermal expansion
value: 8.1e-06, temperature range: 243 343
dPgF
0.0011

References

Cite

NIKON Zemax catalog 2017-11 (obtained from http://www.nikon.com); See also HIKARI 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 408 wavelengths, the same grid as the API and the library
E-LLF6 (HIKARI), E-LLF6: n and k versus wavelength
λ (µm)nk
0.41.5515973.520800e-08
0.4005611.5514863.487873e-08
0.4011241.5513753.454900e-08
0.4016871.5512643.421881e-08
0.402251.5511533.388815e-08
0.4028151.5510433.355703e-08
0.403381.5509343.322545e-08
0.4039461.5508253.289340e-08
0.4045131.5507163.256088e-08
0.4050811.5506083.222790e-08
0.405651.55053.189444e-08
0.4062191.5503923.156053e-08
0.4067891.5502853.122614e-08
0.407361.5501783.089128e-08
0.4079321.5500723.055595e-08
0.4085041.5499663.022016e-08
0.4090781.5498612.988389e-08
0.4096521.5497552.954715e-08
0.4102271.5496512.920993e-08
0.4108031.5495462.887225e-08
0.4113791.5494422.853409e-08
0.4119571.5493382.819545e-08
0.4125351.5492352.785634e-08
0.4131141.5491322.751676e-08
0.4136941.549032.717669e-08
0.4142741.5489282.683615e-08
0.4148561.5488262.649513e-08
0.4154381.5487242.615364e-08
0.4160211.5486232.581166e-08
0.4166051.5485232.546921e-08
0.417191.5484222.512627e-08
0.4177751.5483222.478285e-08
0.4183621.5482232.443895e-08
0.4189491.5481242.409457e-08
0.4195371.5480252.374970e-08
0.421.5479472.347800e-08
0.4201261.5479262.348502e-08
0.4207151.5478282.351798e-08
0.4213061.547732.355099e-08
0.4218971.5476332.358404e-08
0.4224891.5475362.361715e-08
0.4230821.5474392.365029e-08
0.4236761.5473432.368349e-08
0.4242711.5472462.371673e-08
0.4248661.5471512.375001e-08
0.4254621.5470552.378335e-08
0.426061.546962.381673e-08
0.4266581.5468662.385016e-08
0.4272561.5467712.388363e-08
0.4278561.5466772.391715e-08
0.4284571.5465832.395072e-08
0.4290581.546492.398434e-08
0.429661.5463972.401800e-08
0.4302631.5463042.405171e-08
0.4308671.5462122.408547e-08
0.4314721.546122.411927e-08
0.4320771.5460282.415312e-08
0.4326841.5459372.418702e-08
0.4332911.5458462.422097e-08
0.4338991.5457552.425496e-08
0.4345081.5456642.428901e-08
0.4351181.5455742.432310e-08
0.4357291.5454842.435724e-08
0.436341.5453952.439142e-08
0.4369531.5453062.442566e-08
0.4375661.5452172.445994e-08
0.438181.5451282.449427e-08
0.4387951.545042.452865e-08
0.4394111.5449522.456307e-08
0.441.5448682.459600e-08
0.4400281.5448642.459245e-08
0.4406451.5447772.451321e-08
0.4412641.544692.443386e-08
0.4418831.5446032.435440e-08
0.4425031.5445172.427483e-08
0.4431241.544432.419515e-08
0.4437461.5443442.411535e-08
0.4443691.5442592.403545e-08
0.4449931.5441742.395543e-08
0.4456171.5440892.387530e-08
0.4462431.5440042.379505e-08
0.4468691.543922.371470e-08
0.4474961.5438352.363423e-08
0.4481241.5437522.355365e-08
0.4487531.5436682.347295e-08
0.4493831.5435852.339214e-08
0.4500141.5435022.331122e-08
0.4506451.5434192.323019e-08
0.4512781.5433372.314904e-08
0.4519111.5432552.306777e-08
0.4525461.5431732.298640e-08
0.4531811.5430912.290491e-08
0.4538171.543012.282330e-08
0.4544541.5429292.274158e-08
0.4550921.5428482.265975e-08
0.455731.5427682.257780e-08
0.456371.5426882.249573e-08
0.4570111.5426082.241355e-08
0.4576521.5425282.233126e-08
0.4582941.5424492.224884e-08
0.4589381.5423692.216632e-08
0.4595821.5422912.208368e-08
0.461.542242.203000e-08
0.4602271.5422122.199731e-08
0.4608731.5421342.190417e-08
0.4615191.5420562.181089e-08
0.4621671.5419782.171749e-08
0.4628161.54192.162395e-08
0.4634651.5418232.153028e-08
0.4641161.5417462.143648e-08
0.4647671.5416692.134255e-08
0.465421.5415932.124848e-08
0.4660731.5415162.115429e-08
0.4667271.541442.105996e-08
0.4673821.5413652.096550e-08
0.4680381.5412892.087091e-08
0.4686951.5412142.077618e-08
0.4693531.5411392.068132e-08
0.4700121.5410642.058633e-08
0.4706711.540992.049121e-08
0.4713321.5409152.039595e-08
0.4719931.5408412.030055e-08
0.4726561.5407682.020503e-08
0.4733191.5406942.010937e-08
0.4739841.5406212.001357e-08
0.4746491.5405481.991764e-08
0.4753151.5404751.982158e-08
0.4759821.5404021.972538e-08
0.476651.540331.962905e-08
0.4773191.5402581.953258e-08
0.4779891.5401861.943598e-08
0.478661.5401141.933924e-08
0.4793321.5400431.924236e-08
0.481.5399721.914600e-08
0.4800051.5399721.914438e-08
0.4806781.5399011.890215e-08
0.4813531.539831.865958e-08
0.4820281.539761.841667e-08
0.4827051.5396891.817342e-08
0.4833821.5396191.792983e-08
0.4840611.539551.768589e-08
0.484741.539481.744162e-08
0.4854211.5394111.719700e-08
0.4861021.5393421.695204e-08
0.4867841.5392731.670673e-08
0.4874671.5392041.646108e-08
0.4881521.5391361.621508e-08
0.4888371.5390671.596874e-08
0.4895231.5389991.572206e-08
0.490211.5389321.547503e-08
0.4908981.5388641.522765e-08
0.4915871.5387971.497992e-08
0.4922771.5387291.473185e-08
0.4929681.5386631.448342e-08
0.493661.5385961.423465e-08
0.4943531.5385291.398553e-08
0.4950461.5384631.373606e-08
0.4957411.5383971.348624e-08
0.4964371.5383311.323607e-08
0.4971341.5382651.298555e-08
0.4978321.53821.273468e-08
0.498531.5381351.248345e-08
0.499231.538071.223188e-08
0.4999311.5380051.197994e-08
0.51.5379981.195500e-08
0.5006321.537941.185920e-08
0.5013351.5378761.175273e-08
0.5020391.5378111.164611e-08
0.5027431.5377471.153935e-08
0.5034491.5376841.143243e-08
0.5041551.537621.132537e-08
0.5048631.5375571.121815e-08
0.5055721.5374931.111079e-08
0.5062811.537431.100327e-08
0.5069921.5373681.089561e-08
0.5077031.5373051.078779e-08
0.5084161.5372421.067982e-08
0.509131.537181.057170e-08
0.5098441.5371181.046342e-08
0.510561.5370561.035500e-08
0.5112761.5369951.024642e-08
0.5119941.5369331.013769e-08
0.5127121.5368721.002881e-08
0.5134321.5368119.919775e-09
0.5141531.536759.810587e-09
0.5148741.5366899.701246e-09
0.5155971.5366299.591751e-09
0.5163211.5365689.482103e-09
0.5170451.5365089.372301e-09
0.5177711.5364489.262344e-09
0.5184981.5363889.152234e-09
0.5192251.5363299.041968e-09
0.5199541.5362698.931548e-09
0.5206841.536218.820974e-09
0.5214151.5361518.710243e-09
0.5221471.5360928.599358e-09
0.5228791.5360348.488317e-09
0.5236131.5359758.377120e-09
0.5243481.5359178.265767e-09
0.5250841.5358598.154257e-09
0.5258211.5358018.042591e-09
0.5265591.5357437.930769e-09
0.5272981.5356857.818789e-09
0.5280381.5356287.706653e-09
0.5287791.5355717.594358e-09
0.5295211.5355137.481907e-09
0.5302651.5354567.369297e-09
0.5310091.53547.256530e-09
0.5317541.5353437.143604e-09
0.5325011.5352877.030519e-09
0.5332481.535236.917276e-09
0.5339961.5351746.803874e-09
0.5347461.5351196.690313e-09
0.5354961.5350636.576592e-09
0.5362481.5350076.462712e-09
0.5370011.5349526.348672e-09
0.5377541.5348976.234472e-09
0.5385091.5348426.120112e-09
0.5392651.5347876.005591e-09
0.5400221.5347325.890909e-09
0.540781.5346775.776067e-09
0.5415391.5346235.661063e-09
0.5422991.5345695.545898e-09
0.543061.5345155.430571e-09
0.5438221.5344615.315083e-09
0.5445851.5344075.199432e-09
0.545351.5343535.083619e-09
0.5461151.53434.967643e-09
0.5468821.5342464.851505e-09
0.5476491.5341934.735203e-09
0.5484181.534144.618739e-09
0.5491871.5340884.502111e-09
0.5499581.5340354.385319e-09
0.551.5340324.379000e-09
0.550731.5339824.384812e-09
0.5515031.533934.390965e-09
0.5522771.5338784.397126e-09
0.5530521.5338264.403297e-09
0.5538291.5337744.409475e-09
0.5546061.5337224.415663e-09
0.5553841.5336714.421859e-09
0.5561641.5336194.428064e-09
0.5569441.5335684.434277e-09
0.5577261.5335174.440499e-09
0.5585091.5334664.446730e-09
0.5592931.5334154.452970e-09
0.5600781.5333644.459219e-09
0.5608641.5333144.465476e-09
0.5616511.5332634.471742e-09
0.5624391.5332134.478017e-09
0.5632291.5331634.484300e-09
0.5640191.5331134.490593e-09
0.5648111.5330634.496894e-09
0.5656041.5330134.503204e-09
0.5663971.5329644.509523e-09
0.5671921.5329144.515851e-09
0.5679881.5328654.522188e-09
0.5687861.5328164.528533e-09
0.5695841.5327674.534888e-09
0.5703831.5327184.541251e-09
0.5711841.5326694.547624e-09
0.5719861.5326214.554005e-09
0.5727881.5325734.560395e-09
0.5735921.5325244.566795e-09
0.5743971.5324764.573203e-09
0.5752041.5324284.579620e-09
0.5760111.532384.586046e-09
0.5768191.5323334.592481e-09
0.5776291.5322854.598926e-09
0.578441.5322374.605379e-09
0.5792511.532194.611841e-09
0.5800641.5321434.618313e-09
0.5808791.5320964.624793e-09
0.5816941.5320494.631283e-09
0.582511.5320024.637782e-09
0.5833281.5319564.644290e-09
0.5841471.5319094.650807e-09
0.5849661.5318634.657333e-09
0.5857871.5318164.663868e-09
0.586611.531774.670413e-09
0.5874331.5317244.676966e-09
0.5882571.5316784.683529e-09
0.5890831.5316334.690101e-09
0.589911.5315874.696682e-09
0.5907381.5315414.703273e-09
0.5915671.5314964.709873e-09
0.5923971.5314514.716482e-09
0.5932291.5314064.723100e-09
0.5940611.5313614.729728e-09
0.5948951.5313164.736365e-09
0.595731.5312714.743011e-09
0.5965661.5312264.749666e-09
0.5974031.5311824.756331e-09
0.5982421.5311384.763006e-09
0.5990821.5310934.769689e-09
0.5999221.5310494.776382e-09
0.61.5310454.777000e-09
0.6007641.5310054.783086e-09
0.6016081.5309614.789800e-09
0.6024521.5309184.796523e-09
0.6032981.5308744.803255e-09
0.6041441.530834.809997e-09
0.6049921.5307874.816748e-09
0.6058411.5307444.823509e-09
0.6066921.53074.830279e-09
0.6075431.5306574.837059e-09
0.6083961.5306144.843848e-09
0.609251.5305724.850647e-09
0.6101051.5305294.857455e-09
0.6109611.5304864.864273e-09
0.6118191.5304444.871100e-09
0.6126771.5304014.877937e-09
0.6135371.5303594.884784e-09
0.6143981.5303174.891640e-09
0.6152611.5302754.898506e-09
0.6161241.5302334.905381e-09
0.6169891.5301914.912266e-09
0.6178551.530154.919161e-09
0.6187221.5301084.926066e-09
0.6195911.5300674.932980e-09
0.620461.5300254.939904e-09
0.6213311.5299844.946837e-09
0.6222031.5299434.953781e-09
0.6230761.5299024.960734e-09
0.6239511.5298614.967697e-09
0.6248271.529824.974669e-09
0.6257041.5297794.981652e-09
0.6265821.5297394.988644e-09
0.6274611.5296984.995646e-09
0.6283421.5296585.002658e-09
0.6292241.5296185.009679e-09
0.6301071.5295785.016711e-09
0.6309911.5295385.023752e-09
0.6318771.5294985.030803e-09
0.6327641.5294585.037865e-09
0.6336521.5294185.044936e-09
0.6345411.5293785.052017e-09
0.6354321.5293395.059108e-09
0.6363241.5292995.066208e-09
0.6372171.529265.073319e-09
0.6381111.5292215.080440e-09
0.6390071.5291825.087571e-09
0.6399041.5291435.094712e-09
0.6408021.5291045.101863e-09
0.6417011.5290655.109024e-09
0.6426021.5290265.116194e-09
0.6435041.5289885.123375e-09
0.6444071.5289495.130567e-09
0.6453111.5289115.137768e-09
0.6462171.5288725.144979e-09
0.6471241.5288345.152200e-09
0.6480321.5287965.159432e-09
0.6489421.5287585.166674e-09
0.6498521.528725.173926e-09
0.651.5287145.175100e-09
0.6507651.5286825.181188e-09
0.6516781.5286445.188460e-09
0.6525931.5286075.195742e-09
0.6535091.5285695.203035e-09
0.6544261.5285325.210338e-09
0.6553441.5284945.217651e-09
0.6562641.5284575.224974e-09
0.6571851.528425.232308e-09
0.6581081.5283835.239652e-09
0.6590311.5283465.247006e-09
0.6599561.5283095.254371e-09
0.6608821.5282725.261746e-09
0.661811.5282355.269131e-09
0.6627391.5281995.276527e-09
0.6636691.5281625.283933e-09
0.6646011.5281265.291349e-09
0.6655331.5280895.298776e-09
0.6664671.5280535.306213e-09
0.6674031.5280175.313661e-09
0.668341.5279815.321119e-09
0.6692781.5279455.328588e-09
0.6702171.5279095.336067e-09
0.6711581.5278735.343557e-09
0.67211.5278375.351057e-09
0.6730431.5278025.358567e-09
0.6739881.5277665.366089e-09
0.6749331.5277315.373620e-09
0.6758811.5276955.381163e-09
0.6768291.527665.388716e-09
0.6777791.5276255.396279e-09
0.6787311.527595.403853e-09
0.6796831.5275555.411438e-09
0.6806371.527525.419033e-09
0.6815921.5274855.426639e-09
0.6825491.527455.434256e-09
0.6835071.5274155.441884e-09
0.6844661.5273815.449522e-09
0.6854271.5273465.457171e-09
0.6863891.5273125.464830e-09
0.6873521.5272785.472500e-09
0.6883171.5272435.480182e-09
0.6892831.5272095.487873e-09
0.6902511.5271755.495576e-09
0.6912191.5271415.503290e-09
0.692191.5271075.511014e-09
0.6931611.5270735.518749e-09
0.6941341.5270395.526495e-09
0.6951081.5270065.534252e-09
0.6960841.5269725.542020e-09
0.6970611.5269385.549798e-09
0.6980391.5269055.557588e-09
0.6990191.5268715.565389e-09
0.71.5268385.573200e-09

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
—