Optical constants

Refractive index of E-LF6 (HIKARI)

E-LF6: 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
1.56732
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.45648
Permittivity ε2
1.46647e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
42.7
Chromatic dispersion dn/dλ
-0.067784 µm⁻¹
Group index ng
1.60715
Group velocity dispersion
129.423 fs²/mm
Dispersion parameter D
-706.07 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-LF6 (HIKARI): E-LF6
hikari_e_lf6 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LF6", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lf6.range_nm)  # (400, 700) nm
eps = hikari_e_lf6.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=2.4026161−0.00531026402⁢λ2.0+0.0170623068⁢λ−2.0+0.000992586995⁢λ−4.0−0.000110715814⁢λ−6.0+9.21295404×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.4026161
C2-0.00531026402
C32.0
C40.0170623068
C5-2.0
C60.000992586995
C7-4.0
C8-0.000110715814
C9-6.0
C109.21295404e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.567320
Vd
42.699788
glass status
preferred
density
value: 2540
thermal expansion
value: 8e-06, temperature range: 243 343
dPgF
-0.002

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-LF6 (HIKARI), E-LF6: n and k versus wavelength
λ (µm)nk
0.41.5919199.695500e-08
0.4005611.5917789.536606e-08
0.4011241.5916389.377490e-08
0.4016871.5914989.218150e-08
0.402251.5913599.058586e-08
0.4028151.5912218.898799e-08
0.403381.5910838.738787e-08
0.4039461.5909458.578550e-08
0.4045131.5908098.418089e-08
0.4050811.5906728.257403e-08
0.405651.5905378.096491e-08
0.4062191.5904017.935353e-08
0.4067891.5902677.773989e-08
0.407361.5901337.612398e-08
0.4079321.5899997.450581e-08
0.4085041.5898667.288536e-08
0.4090781.5897347.126265e-08
0.4096521.5896026.963765e-08
0.4102271.589476.801037e-08
0.4108031.5893396.638081e-08
0.4113791.5892096.474896e-08
0.4119571.5890796.311483e-08
0.4125351.588956.147839e-08
0.4131141.5888215.983967e-08
0.4136941.5886935.819864e-08
0.4142741.5885655.655531e-08
0.4148561.5884385.490967e-08
0.4154381.5883115.326172e-08
0.4160211.5881845.161146e-08
0.4166051.5880594.995888e-08
0.417191.5879334.830398e-08
0.4177751.5878084.664676e-08
0.4183621.5876844.498722e-08
0.4189491.587564.332535e-08
0.4195371.5874374.166114e-08
0.421.587344.035000e-08
0.4201261.5873144.027324e-08
0.4207151.5871913.991278e-08
0.4213061.5870693.955181e-08
0.4218971.5869483.919034e-08
0.4224891.5868263.882836e-08
0.4230821.5867063.846588e-08
0.4236761.5865863.810288e-08
0.4242711.5864663.773938e-08
0.4248661.5863473.737536e-08
0.4254621.5862283.701084e-08
0.426061.5861093.664580e-08
0.4266581.5859923.628025e-08
0.4272561.5858743.591419e-08
0.4278561.5857573.554761e-08
0.4284571.585643.518052e-08
0.4290581.5855243.481292e-08
0.429661.5854083.444479e-08
0.4302631.5852933.407615e-08
0.4308671.5851783.370700e-08
0.4314721.5850643.333732e-08
0.4320771.584953.296713e-08
0.4326841.5848363.259642e-08
0.4332911.5847233.222518e-08
0.4338991.584613.185343e-08
0.4345081.5844983.148115e-08
0.4351181.5843863.110836e-08
0.4357291.5842743.073503e-08
0.436341.5841633.036119e-08
0.4369531.5840522.998682e-08
0.4375661.5839422.961192e-08
0.438181.5838322.923650e-08
0.4387951.5837232.886055e-08
0.4394111.5836132.848408e-08
0.441.583512.812400e-08
0.4400281.5835052.811556e-08
0.4406451.5833962.792738e-08
0.4412641.5832882.773894e-08
0.4418831.5831812.755023e-08
0.4425031.5830742.736125e-08
0.4431241.5829672.717202e-08
0.4437461.582862.698251e-08
0.4443691.5827542.679274e-08
0.4449931.5826492.660270e-08
0.4456171.5825432.641240e-08
0.4462431.5824382.622183e-08
0.4468691.5823342.603099e-08
0.4474961.582232.583988e-08
0.4481241.5821262.564851e-08
0.4487531.5820222.545687e-08
0.4493831.5819192.526496e-08
0.4500141.5818172.507277e-08
0.4506451.5817142.488032e-08
0.4512781.5816122.468760e-08
0.4519111.581512.449461e-08
0.4525461.5814092.430135e-08
0.4531811.5813082.410782e-08
0.4538171.5812082.391401e-08
0.4544541.5811072.371993e-08
0.4550921.5810082.352558e-08
0.455731.5809082.333096e-08
0.456371.5808092.313606e-08
0.4570111.580712.294090e-08
0.4576521.5806112.274545e-08
0.4582941.5805132.254974e-08
0.4589381.5804152.235374e-08
0.4595821.5803182.215748e-08
0.461.5802552.203000e-08
0.4602271.5802212.195384e-08
0.4608731.5801242.173680e-08
0.4615191.5800272.151946e-08
0.4621671.5799312.130181e-08
0.4628161.5798352.108386e-08
0.4634651.579742.086561e-08
0.4641161.5796452.064704e-08
0.4647671.579552.042817e-08
0.465421.5794552.020899e-08
0.4660731.5793611.998951e-08
0.4667271.5792671.976971e-08
0.4673821.5791741.954961e-08
0.4680381.579081.932920e-08
0.4686951.5789871.910848e-08
0.4693531.5788951.888745e-08
0.4700121.5788021.866611e-08
0.4706711.578711.844446e-08
0.4713321.5786191.822250e-08
0.4719931.5785271.800023e-08
0.4726561.5784361.777764e-08
0.4733191.5783451.755474e-08
0.4739841.5782551.733153e-08
0.4746491.5781651.710801e-08
0.4753151.5780751.688417e-08
0.4759821.5779851.666002e-08
0.476651.5778961.643555e-08
0.4773191.5778071.621077e-08
0.4779891.5777181.598567e-08
0.478661.577631.576026e-08
0.4793321.5775421.553453e-08
0.481.5774551.531000e-08
0.4800051.5774541.530834e-08
0.4806781.5773671.506095e-08
0.4813531.5772791.481321e-08
0.4820281.5771921.456512e-08
0.4827051.5771061.431669e-08
0.4833821.5770191.406790e-08
0.4840611.5769331.381877e-08
0.484741.5768471.356928e-08
0.4854211.5767621.331945e-08
0.4861021.5766771.306926e-08
0.4867841.5765921.281873e-08
0.4874671.5765071.256784e-08
0.4881521.5764231.231660e-08
0.4888371.5763391.206501e-08
0.4895231.5762551.181307e-08
0.490211.5761711.156077e-08
0.4908981.5760881.130811e-08
0.4915871.5760051.105511e-08
0.4922771.5759221.080174e-08
0.4929681.575841.054803e-08
0.493661.5757571.029395e-08
0.4943531.5756751.003952e-08
0.4950461.5755949.784733e-09
0.4957411.5755129.529587e-09
0.4964371.5754319.274084e-09
0.4971341.575359.018221e-09
0.4978321.5752698.762000e-09
0.498531.5751898.505419e-09
0.499231.5751098.248478e-09
0.4999311.5750297.991176e-09
0.51.5750217.965700e-09
0.5006321.574957.920343e-09
0.5013351.574877.869939e-09
0.5020391.5747917.819464e-09
0.5027431.5747127.768919e-09
0.5034491.5746347.718302e-09
0.5041551.5745557.667615e-09
0.5048631.5744777.616856e-09
0.5055721.5743997.566026e-09
0.5062811.5743227.515124e-09
0.5069921.5742447.464152e-09
0.5077031.5741677.413107e-09
0.5084161.574097.361991e-09
0.509131.5740147.310803e-09
0.5098441.5739377.259544e-09
0.510561.5738617.208212e-09
0.5112761.5737857.156809e-09
0.5119941.573717.105333e-09
0.5127121.5736347.053785e-09
0.5134321.5735597.002165e-09
0.5141531.5734846.950472e-09
0.5148741.573416.898707e-09
0.5155971.5733356.846869e-09
0.5163211.5732616.794958e-09
0.5170451.5731876.742975e-09
0.5177711.5731136.690918e-09
0.5184981.573046.638788e-09
0.5192251.5729666.586586e-09
0.5199541.5728936.534310e-09
0.5206841.5728216.481960e-09
0.5214151.5727486.429537e-09
0.5221471.5726766.377041e-09
0.5228791.5726036.324471e-09
0.5236131.5725326.271827e-09
0.5243481.572466.219109e-09
0.5250841.5723886.166317e-09
0.5258211.5723176.113451e-09
0.5265591.5722466.060511e-09
0.5272981.5721756.007497e-09
0.5280381.5721055.954408e-09
0.5287791.5720345.901245e-09
0.5295211.5719645.848007e-09
0.5302651.5718945.794694e-09
0.5310091.5718255.741307e-09
0.5317541.5717555.687844e-09
0.5325011.5716865.634307e-09
0.5332481.5716175.580694e-09
0.5339961.5715485.527006e-09
0.5347461.5714795.473243e-09
0.5354961.5714115.419405e-09
0.5362481.5713435.365490e-09
0.5370011.5712755.311500e-09
0.5377541.5712075.257435e-09
0.5385091.5711395.203293e-09
0.5392651.5710725.149076e-09
0.5400221.5710055.094782e-09
0.540781.5709385.040412e-09
0.5415391.5708714.985966e-09
0.5422991.5708054.931444e-09
0.543061.5707384.876845e-09
0.5438221.5706724.822169e-09
0.5445851.5706064.767416e-09
0.545351.5705414.712587e-09
0.5461151.5704754.657681e-09
0.5468821.570414.602698e-09
0.5476491.5703454.547637e-09
0.5484181.570284.492499e-09
0.5491871.5702154.437284e-09
0.5499581.5701514.381992e-09
0.551.5701474.379000e-09
0.550731.5700864.384812e-09
0.5515031.5700224.390965e-09
0.5522771.5699584.397126e-09
0.5530521.5698944.403297e-09
0.5538291.5698314.409475e-09
0.5546061.5697684.415663e-09
0.5553841.5697044.421859e-09
0.5561641.5696414.428064e-09
0.5569441.5695794.434277e-09
0.5577261.5695164.440499e-09
0.5585091.5694544.446730e-09
0.5592931.5693914.452970e-09
0.5600781.5693294.459219e-09
0.5608641.5692684.465476e-09
0.5616511.5692064.471742e-09
0.5624391.5691454.478017e-09
0.5632291.5690834.484300e-09
0.5640191.5690224.490593e-09
0.5648111.5689614.496894e-09
0.5656041.5689014.503204e-09
0.5663971.568844.509523e-09
0.5671921.568784.515851e-09
0.5679881.568724.522188e-09
0.5687861.568664.528533e-09
0.5695841.56864.534888e-09
0.5703831.568544.541251e-09
0.5711841.5684814.547624e-09
0.5719861.5684224.554005e-09
0.5727881.5683624.560395e-09
0.5735921.5683044.566795e-09
0.5743971.5682454.573203e-09
0.5752041.5681864.579620e-09
0.5760111.5681284.586046e-09
0.5768191.568074.592481e-09
0.5776291.5680124.598926e-09
0.578441.5679544.605379e-09
0.5792511.5678964.611841e-09
0.5800641.5678394.618313e-09
0.5808791.5677814.624793e-09
0.5816941.5677244.631283e-09
0.582511.5676674.637782e-09
0.5833281.567614.644290e-09
0.5841471.5675544.650807e-09
0.5849661.5674974.657333e-09
0.5857871.5674414.663868e-09
0.586611.5673854.670413e-09
0.5874331.5673294.676966e-09
0.5882571.5672734.683529e-09
0.5890831.5672174.690101e-09
0.589911.5671624.696682e-09
0.5907381.5671064.703273e-09
0.5915671.5670514.709873e-09
0.5923971.5669964.716482e-09
0.5932291.5669424.723100e-09
0.5940611.5668874.729728e-09
0.5948951.5668324.736365e-09
0.595731.5667784.743011e-09
0.5965661.5667244.749666e-09
0.5974031.566674.756331e-09
0.5982421.5666164.763006e-09
0.5990821.5665624.769689e-09
0.5999221.5665094.776382e-09
0.61.5665044.777000e-09
0.6007641.5664555.020919e-09
0.6016081.5664025.289981e-09
0.6024521.5663495.559421e-09
0.6032981.5662965.829239e-09
0.6041441.5662436.099436e-09
0.6049921.5661916.370012e-09
0.6058411.5661386.640967e-09
0.6066921.5660866.912303e-09
0.6075431.5660347.184020e-09
0.6083961.5659827.456118e-09
0.609251.565937.728598e-09
0.6101051.5658788.001461e-09
0.6109611.5658278.274706e-09
0.6118191.5657758.548335e-09
0.6126771.5657248.822348e-09
0.6135371.5656739.096746e-09
0.6143981.5656229.371528e-09
0.6152611.5655719.646697e-09
0.6161241.5655219.922251e-09
0.6169891.565471.019819e-08
0.6178551.565421.047452e-08
0.6187221.565371.075124e-08
0.6195911.565321.102834e-08
0.620461.565271.130584e-08
0.6213311.565221.158372e-08
0.6222031.565171.186199e-08
0.6230761.5651211.214066e-08
0.6239511.5650721.241971e-08
0.6248271.5650221.269916e-08
0.6257041.5649731.297900e-08
0.6265821.5649241.325923e-08
0.6274611.5648761.353985e-08
0.6283421.5648271.382087e-08
0.6292241.5647791.410229e-08
0.6301071.564731.438409e-08
0.6309911.5646821.466630e-08
0.6318771.5646341.494890e-08
0.6327641.5645861.523189e-08
0.6336521.5645381.551529e-08
0.6345411.5644911.579908e-08
0.6354321.5644431.608327e-08
0.6363241.5643961.636786e-08
0.6372171.5643481.665284e-08
0.6381111.5643011.693823e-08
0.6390071.5642541.722402e-08
0.6399041.5642081.751021e-08
0.6408021.5641611.779680e-08
0.6417011.5641141.808380e-08
0.6426021.5640681.837119e-08
0.6435041.5640221.865899e-08
0.6444071.5639751.894719e-08
0.6453111.5639291.923580e-08
0.6462171.5638831.952482e-08
0.6471241.5638381.981424e-08
0.6480321.5637922.010406e-08
0.6489421.5637472.039429e-08
0.6498521.5637012.068493e-08
0.651.5636942.073200e-08
0.6507651.5636562.092760e-08
0.6516781.5636112.116125e-08
0.6525931.5635662.139524e-08
0.6535091.5635212.162955e-08
0.6544261.5634762.186420e-08
0.6553441.5634322.209917e-08
0.6562641.5633872.233447e-08
0.6571851.5633432.257010e-08
0.6581081.5632982.280607e-08
0.6590311.5632542.304236e-08
0.6599561.563212.327899e-08
0.6608821.5631662.351594e-08
0.661811.5631232.375323e-08
0.6627391.5630792.399086e-08
0.6636691.5630362.422881e-08
0.6646011.5629922.446711e-08
0.6655331.5629492.470573e-08
0.6664671.5629062.494469e-08
0.6674031.5628632.518399e-08
0.668341.562822.542362e-08
0.6692781.5627772.566359e-08
0.6702171.5627352.590389e-08
0.6711581.5626922.614453e-08
0.67211.562652.638551e-08
0.6730431.5626072.662683e-08
0.6739881.5625652.686849e-08
0.6749331.5625232.711048e-08
0.6758811.5624812.735282e-08
0.6768291.5624392.759550e-08
0.6777791.5623982.783851e-08
0.6787311.5623562.808187e-08
0.6796831.5623152.832557e-08
0.6806371.5622732.856961e-08
0.6815921.5622322.881399e-08
0.6825491.5621912.905872e-08
0.6835071.562152.930379e-08
0.6844661.5621092.954920e-08
0.6854271.5620682.979496e-08
0.6863891.5620283.004106e-08
0.6873521.5619873.028751e-08
0.6883171.5619473.053431e-08
0.6892831.5619063.078145e-08
0.6902511.5618663.102894e-08
0.6912191.5618263.127677e-08
0.692191.5617863.152495e-08
0.6931611.5617463.177349e-08
0.6941341.5617063.202237e-08
0.6951081.5616673.227160e-08
0.6960841.5616273.252117e-08
0.6970611.5615883.277110e-08
0.6980391.5615483.302138e-08
0.6990191.5615093.327202e-08
0.71.561473.352300e-08

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
—