Optical constants

Refractive index of LF5 (HIKARI)

LF5: n,k 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
293 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
1.58144
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.50094
Permittivity ε2
1.47969e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
40.778
Chromatic dispersion dn/dλ
-0.0725843 µm⁻¹
Group index ng
1.62409
Group velocity dispersion
138.25 fs²/mm
Dispersion parameter D
-754.225 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 (HIKARI): LF5
hikari_lf5 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "LF5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_lf5.range_nm)  # (400, 700) nm
eps = hikari_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

Polynomial (formula 3), λ in µm
n2=2.439252−0.005116676⁢λ2.0+0.02191912⁢λ−2.0−0.000308089⁢λ−4.0+0.0001181173⁢λ−6.0−4.409047×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.439252
C2-0.005116676
C32.0
C40.02191912
C5-2.0
C6-0.000308089
C7-4.0
C80.0001181173
C9-6.0
C10-4.409047e-06
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.581440
Vd
40.777871
glass code
581408
glass status
preferred
density
value: 3240
thermal expansion
value: 1.06e-05, temperature range: 243 343
dPgF
-0.0008

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
LF5 (HIKARI), LF5: n and k versus wavelength
λ (µm)nk
0.41.607953.184700e-09
0.4005611.6077993.189169e-09
0.4011241.6076493.193644e-09
0.4016871.6074993.198125e-09
0.402251.607353.202613e-09
0.4028151.6072013.207107e-09
0.403381.6070533.211607e-09
0.4039461.6069053.216114e-09
0.4045131.6067583.220627e-09
0.4050811.6066123.225146e-09
0.405651.6064663.229672e-09
0.4062191.6063213.234204e-09
0.4067891.6061763.238742e-09
0.407361.6060323.243287e-09
0.4079321.6058883.247838e-09
0.4085041.6057453.252395e-09
0.4090781.6056023.256959e-09
0.4096521.605463.261529e-09
0.4102271.6053193.266106e-09
0.4108031.6051783.270689e-09
0.4113791.6050373.275279e-09
0.4119571.6048973.279875e-09
0.4125351.6047583.284477e-09
0.4131141.6046193.289086e-09
0.4136941.604483.293701e-09
0.4142741.6043423.298323e-09
0.4148561.6042053.302951e-09
0.4154381.6040683.307586e-09
0.4160211.6039323.312227e-09
0.4166051.6037963.316875e-09
0.417191.6036613.321530e-09
0.4177751.6035263.326191e-09
0.4183621.6033913.330858e-09
0.4189491.6032583.335532e-09
0.4195371.6031243.340212e-09
0.421.603023.343900e-09
0.4201261.6029913.344900e-09
0.4207151.6028593.349597e-09
0.4213061.6027273.354300e-09
0.4218971.6025963.359010e-09
0.4224891.6024653.363726e-09
0.4230821.6023343.368449e-09
0.4236761.6022043.373179e-09
0.4242711.6020753.377915e-09
0.4248661.6019463.382658e-09
0.4254621.6018173.387408e-09
0.426061.6016893.392164e-09
0.4266581.6015623.396927e-09
0.4272561.6014343.401697e-09
0.4278561.6013083.406473e-09
0.4284571.6011823.411256e-09
0.4290581.6010563.416046e-09
0.429661.6009313.420843e-09
0.4302631.6008063.425646e-09
0.4308671.6006813.430456e-09
0.4314721.6005583.435272e-09
0.4320771.6004343.440096e-09
0.4326841.6003113.444926e-09
0.4332911.6001883.449763e-09
0.4338991.6000663.454607e-09
0.4345081.5999453.459458e-09
0.4351181.5998233.464315e-09
0.4357291.5997033.469179e-09
0.436341.5995823.474050e-09
0.4369531.5994623.478928e-09
0.4375661.5993433.483813e-09
0.438181.5992243.488705e-09
0.4387951.5991053.493603e-09
0.4394111.5989873.498508e-09
0.441.5988743.503200e-09
0.4400281.5988693.503420e-09
0.4406451.5987523.508336e-09
0.4412641.5986353.513259e-09
0.4418831.5985183.518189e-09
0.4425031.5984023.523126e-09
0.4431241.5982873.528070e-09
0.4437461.5981713.533020e-09
0.4443691.5980563.537978e-09
0.4449931.5979423.542942e-09
0.4456171.5978283.547914e-09
0.4462431.5977143.552892e-09
0.4468691.5976013.557878e-09
0.4474961.5974883.562870e-09
0.4481241.5973763.567870e-09
0.4487531.5972643.572876e-09
0.4493831.5971523.577890e-09
0.4500141.5970413.582910e-09
0.4506451.596933.587938e-09
0.4512781.596823.592973e-09
0.4519111.596713.598014e-09
0.4525461.59663.603063e-09
0.4531811.5964913.608119e-09
0.4538171.5963823.613182e-09
0.4544541.5962733.618252e-09
0.4550921.5961653.623329e-09
0.455731.5960573.628414e-09
0.456371.595953.633505e-09
0.4570111.5958433.638604e-09
0.4576521.5957373.643709e-09
0.4582941.595633.648822e-09
0.4589381.5955243.653943e-09
0.4595821.5954193.659070e-09
0.461.5953513.662400e-09
0.4602271.5953143.664204e-09
0.4608731.5952093.669346e-09
0.4615191.5951053.674495e-09
0.4621671.5950013.679651e-09
0.4628161.5948973.684814e-09
0.4634651.5947943.689985e-09
0.4641161.5946913.695163e-09
0.4647671.5945883.700348e-09
0.465421.5944863.705541e-09
0.4660731.5943843.710740e-09
0.4667271.5942823.715947e-09
0.4673821.5941813.721162e-09
0.4680381.5940813.726383e-09
0.4686951.593983.731612e-09
0.4693531.593883.736848e-09
0.4700121.593783.742092e-09
0.4706711.5936813.747343e-09
0.4713321.5935823.752602e-09
0.4719931.5934833.757867e-09
0.4726561.5933843.763140e-09
0.4733191.5932863.768421e-09
0.4739841.5931893.773709e-09
0.4746491.5930913.779004e-09
0.4753151.5929943.784307e-09
0.4759821.5928973.789617e-09
0.476651.5928013.794935e-09
0.4773191.5927053.800260e-09
0.4779891.5926093.805593e-09
0.478661.5925143.810933e-09
0.4793321.5924193.816281e-09
0.481.5923243.821600e-09
0.4800051.5923243.821636e-09
0.4806781.5922293.827002e-09
0.4813531.5921353.832376e-09
0.4820281.5920413.837757e-09
0.4827051.5919483.843145e-09
0.4833821.5918553.848541e-09
0.4840611.5917623.853945e-09
0.484741.5916693.859357e-09
0.4854211.5915773.864776e-09
0.4861021.5914853.870202e-09
0.4867841.5913943.875636e-09
0.4874671.5913023.881078e-09
0.4881521.5912113.886528e-09
0.4888371.5911213.891985e-09
0.4895231.591033.897450e-09
0.490211.590943.902922e-09
0.4908981.590853.908402e-09
0.4915871.5907613.913890e-09
0.4922771.5906723.919385e-09
0.4929681.5905833.924889e-09
0.493661.5904943.930400e-09
0.4943531.5904063.935918e-09
0.4950461.5903183.941445e-09
0.4957411.590233.946979e-09
0.4964371.5901433.952521e-09
0.4971341.5900563.958071e-09
0.4978321.5899693.963628e-09
0.498531.5898823.969193e-09
0.499231.5897963.974766e-09
0.4999311.589713.980347e-09
0.51.5897013.980900e-09
0.5006321.5896243.985934e-09
0.5013351.5895393.991529e-09
0.5020391.5894543.997131e-09
0.5027431.5893694.002741e-09
0.5034491.5892844.008360e-09
0.5041551.58924.013986e-09
0.5048631.5891164.019619e-09
0.5055721.5890324.025261e-09
0.5062811.5889494.030911e-09
0.5069921.5888664.036569e-09
0.5077031.5887834.042234e-09
0.5084161.58874.047908e-09
0.509131.5886184.053589e-09
0.5098441.5885364.059279e-09
0.510561.5884544.064976e-09
0.5112761.5883724.070682e-09
0.5119941.5882914.076395e-09
0.5127121.588214.082117e-09
0.5134321.5881294.087846e-09
0.5141531.5880484.093584e-09
0.5148741.5879684.099329e-09
0.5155971.5878884.105083e-09
0.5163211.5878084.110845e-09
0.5170451.5877294.116614e-09
0.5177711.587654.122392e-09
0.5184981.5875714.128178e-09
0.5192251.5874924.133973e-09
0.5199541.5874144.139775e-09
0.5206841.5873354.145585e-09
0.5214151.5872574.151404e-09
0.5221471.587184.157231e-09
0.5228791.5871024.163066e-09
0.5236131.5870254.168909e-09
0.5243481.5869484.174760e-09
0.5250841.5868714.180620e-09
0.5258211.5867954.186487e-09
0.5265591.5867194.192363e-09
0.5272981.5866434.198248e-09
0.5280381.5865674.204140e-09
0.5287791.5864914.210041e-09
0.5295211.5864164.215950e-09
0.5302651.5863414.221867e-09
0.5310091.5862664.227793e-09
0.5317541.5861924.233727e-09
0.5325011.5861184.239669e-09
0.5332481.5860434.245620e-09
0.5339961.585974.251579e-09
0.5347461.5858964.257546e-09
0.5354961.5858234.263522e-09
0.5362481.5857494.269506e-09
0.5370011.5856774.275499e-09
0.5377541.5856044.281500e-09
0.5385091.5855314.287509e-09
0.5392651.5854594.293527e-09
0.5400221.5853874.299553e-09
0.540781.5853154.305588e-09
0.5415391.5852444.311631e-09
0.5422991.5851734.317682e-09
0.543061.5851014.323743e-09
0.5438221.5850314.329811e-09
0.5445851.584964.335888e-09
0.545351.5848894.341974e-09
0.5461151.5848194.348068e-09
0.5468821.5847494.354171e-09
0.5476491.5846794.360282e-09
0.5484181.584614.366402e-09
0.5491871.5845414.372531e-09
0.5499581.5844714.378668e-09
0.551.5844684.379000e-09
0.550731.5844024.384812e-09
0.5515031.5843344.390965e-09
0.5522771.5842654.397126e-09
0.5530521.5841974.403297e-09
0.5538291.5841294.409475e-09
0.5546061.5840614.415663e-09
0.5553841.5839934.421859e-09
0.5561641.5839264.428064e-09
0.5569441.5838594.434277e-09
0.5577261.5837924.440499e-09
0.5585091.5837254.446730e-09
0.5592931.5836584.452970e-09
0.5600781.5835924.459219e-09
0.5608641.5835264.465476e-09
0.5616511.583464.471742e-09
0.5624391.5833944.478017e-09
0.5632291.5833284.484300e-09
0.5640191.5832634.490593e-09
0.5648111.5831984.496894e-09
0.5656041.5831334.503204e-09
0.5663971.5830684.509523e-09
0.5671921.5830034.515851e-09
0.5679881.5829394.522188e-09
0.5687861.5828744.528533e-09
0.5695841.582814.534888e-09
0.5703831.5827474.541251e-09
0.5711841.5826834.547624e-09
0.5719861.5826194.554005e-09
0.5727881.5825564.560395e-09
0.5735921.5824934.566795e-09
0.5743971.582434.573203e-09
0.5752041.5823684.579620e-09
0.5760111.5823054.586046e-09
0.5768191.5822434.592481e-09
0.5776291.5821814.598926e-09
0.578441.5821194.605379e-09
0.5792511.5820574.611841e-09
0.5800641.5819954.618313e-09
0.5808791.5819344.624793e-09
0.5816941.5818734.631283e-09
0.582511.5818124.637782e-09
0.5833281.5817514.644290e-09
0.5841471.581694.650807e-09
0.5849661.581634.657333e-09
0.5857871.5815694.663868e-09
0.586611.5815094.670413e-09
0.5874331.5814494.676966e-09
0.5882571.581394.683529e-09
0.5890831.581334.690101e-09
0.589911.5812714.696682e-09
0.5907381.5812114.703273e-09
0.5915671.5811524.709873e-09
0.5923971.5810934.716482e-09
0.5932291.5810354.723100e-09
0.5940611.5809764.729728e-09
0.5948951.5809184.736365e-09
0.595731.580864.743011e-09
0.5965661.5808024.749666e-09
0.5974031.5807444.756331e-09
0.5982421.5806864.763006e-09
0.5990821.5806284.769689e-09
0.5999221.5805714.776382e-09
0.61.5805664.777000e-09
0.6007641.5805144.783086e-09
0.6016081.5804574.789800e-09
0.6024521.58044.796523e-09
0.6032981.5803434.803255e-09
0.6041441.5802874.809997e-09
0.6049921.5802314.816748e-09
0.6058411.5801744.823509e-09
0.6066921.5801184.830279e-09
0.6075431.5800624.837059e-09
0.6083961.5800074.843848e-09
0.609251.5799514.850647e-09
0.6101051.5798964.857455e-09
0.6109611.5798414.864273e-09
0.6118191.5797864.871100e-09
0.6126771.5797314.877937e-09
0.6135371.5796764.884784e-09
0.6143981.5796214.891640e-09
0.6152611.5795674.898506e-09
0.6161241.5795134.905381e-09
0.6169891.5794584.912266e-09
0.6178551.5794044.919161e-09
0.6187221.5793514.926066e-09
0.6195911.5792974.932980e-09
0.620461.5792444.939904e-09
0.6213311.579194.946837e-09
0.6222031.5791374.953781e-09
0.6230761.5790844.960734e-09
0.6239511.5790314.967697e-09
0.6248271.5789784.974669e-09
0.6257041.5789264.981652e-09
0.6265821.5788734.988644e-09
0.6274611.5788214.995646e-09
0.6283421.5787695.002658e-09
0.6292241.5787175.009679e-09
0.6301071.5786655.016711e-09
0.6309911.5786135.023752e-09
0.6318771.5785625.030803e-09
0.6327641.578515.037865e-09
0.6336521.5784595.044936e-09
0.6345411.5784085.052017e-09
0.6354321.5783575.059108e-09
0.6363241.5783065.066208e-09
0.6372171.5782555.073319e-09
0.6381111.5782055.080440e-09
0.6390071.5781545.087571e-09
0.6399041.5781045.094712e-09
0.6408021.5780545.101863e-09
0.6417011.5780045.109024e-09
0.6426021.5779545.116194e-09
0.6435041.5779045.123375e-09
0.6444071.5778555.130567e-09
0.6453111.5778055.137768e-09
0.6462171.5777565.144979e-09
0.6471241.5777075.152200e-09
0.6480321.5776585.159432e-09
0.6489421.5776095.166674e-09
0.6498521.577565.173926e-09
0.651.5775525.175100e-09
0.6507651.5775125.104483e-09
0.6516781.5774635.020124e-09
0.6525931.5774154.935646e-09
0.6535091.5773674.851050e-09
0.6544261.5773194.766335e-09
0.6553441.5772714.681501e-09
0.6562641.5772234.596548e-09
0.6571851.5771754.511476e-09
0.6581081.5771284.426285e-09
0.6590311.577084.340974e-09
0.6599561.5770334.255543e-09
0.6608821.5769864.169992e-09
0.661811.5769394.084322e-09
0.6627391.5768923.998531e-09
0.6636691.5768453.912619e-09
0.6646011.5767983.826587e-09
0.6655331.5767523.740434e-09
0.6664671.5767053.654161e-09
0.6674031.5766593.567766e-09
0.668341.5766133.481250e-09
0.6692781.5765673.394613e-09
0.6702171.5765213.307854e-09
0.6711581.5764753.220973e-09
0.67211.576433.133970e-09
0.6730431.5763843.046845e-09
0.6739881.5763392.959598e-09
0.6749331.5762932.872228e-09
0.6758811.5762482.784736e-09
0.6768291.5762032.697121e-09
0.6777791.5761582.609383e-09
0.6787311.5761142.521522e-09
0.6796831.5760692.433538e-09
0.6806371.5760242.345430e-09
0.6815921.575982.257198e-09
0.6825491.5759362.168843e-09
0.6835071.5758912.080363e-09
0.6844661.5758471.991760e-09
0.6854271.5758031.903032e-09
0.6863891.5757591.814179e-09
0.6873521.5757161.725202e-09
0.6883171.5756721.636100e-09
0.6892831.5756291.546873e-09
0.6902511.5755851.457520e-09
0.6912191.5755421.368043e-09
0.692191.5754991.278439e-09
0.6931611.5754561.188710e-09
0.6941341.5754131.098855e-09
0.6951081.575371.008874e-09
0.6960841.5753279.187664e-10
0.6970611.5752858.285324e-10
0.6980391.5752427.381718e-10
0.6990191.57526.476844e-10
0.71.5751585.570700e-10

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
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Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—