Optical constants

Refractive index of E-LAK14 (HIKARI)

E-LAK14: 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
1.69679
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.87911
Permittivity ε2
1.58762e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
55.524
Chromatic dispersion dn/dλ
-0.0648362 µm⁻¹
Group index ng
1.73489
Group velocity dispersion
112.947 fs²/mm
Dispersion parameter D
-616.187 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-LAK14 (HIKARI): E-LAK14
hikari_e_lak14 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAK14", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lak14.range_nm)  # (400, 700) nm
eps = hikari_e_lak14.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=2.8276674−0.0146359226⁢λ2.0+0.0183760559⁢λ−2.0+0.000420548979⁢λ−4.0−1.31827801×10-5⁢λ−6.0+9.74806017×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.8276674
C2-0.0146359226
C32.0
C40.0183760559
C5-2.0
C60.000420548979
C7-4.0
C8-1.31827801e-05
C9-6.0
C109.74806017e-07
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.696797
Vd
55.523908
glass code
697555
glass status
preferred
density
value: 3640
thermal expansion
value: 6.9e-06, temperature range: 243 343
dPgF
-0.008

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-LAK14 (HIKARI), E-LAK14: n and k versus wavelength
λ (µm)nk
0.41.7189741.595500e-08
0.4005611.7188551.560100e-08
0.4011241.7187361.524650e-08
0.4016871.7186181.489151e-08
0.402251.71851.453601e-08
0.4028151.7183821.418002e-08
0.403381.7182651.382353e-08
0.4039461.7181481.346653e-08
0.4045131.7180311.310904e-08
0.4050811.7179151.275104e-08
0.405651.7177991.239255e-08
0.4062191.7176841.203355e-08
0.4067891.7175691.167404e-08
0.407361.7174541.131403e-08
0.4079321.717341.095352e-08
0.4085041.7172261.059250e-08
0.4090781.7171121.023097e-08
0.4096521.7169999.868933e-09
0.4102271.7168869.506390e-09
0.4108031.7167749.143338e-09
0.4113791.7166628.779776e-09
0.4119571.716558.415705e-09
0.4125351.7164398.051122e-09
0.4131141.7163287.686027e-09
0.4136941.7162177.320421e-09
0.4142741.7161066.954301e-09
0.4148561.7159966.587667e-09
0.4154381.7158876.220518e-09
0.4160211.7157775.852855e-09
0.4166051.7156695.484675e-09
0.417191.715565.115978e-09
0.4177751.7154524.746764e-09
0.4183621.7153444.377032e-09
0.4189491.7152364.006781e-09
0.4195371.7151293.636010e-09
0.421.7150453.343900e-09
0.4201261.7150223.344900e-09
0.4207151.7149153.349597e-09
0.4213061.7148093.354300e-09
0.4218971.7147033.359010e-09
0.4224891.7145983.363726e-09
0.4230821.7144923.368449e-09
0.4236761.7143883.373179e-09
0.4242711.7142833.377915e-09
0.4248661.7141793.382658e-09
0.4254621.7140753.387408e-09
0.426061.7139713.392164e-09
0.4266581.7138683.396927e-09
0.4272561.7137653.401697e-09
0.4278561.7136623.406473e-09
0.4284571.713563.411256e-09
0.4290581.7134583.416046e-09
0.429661.7133573.420843e-09
0.4302631.7132553.425646e-09
0.4308671.7131543.430456e-09
0.4314721.7130533.435272e-09
0.4320771.7129533.440096e-09
0.4326841.7128533.444926e-09
0.4332911.7127533.449763e-09
0.4338991.7126543.454607e-09
0.4345081.7125553.459458e-09
0.4351181.7124563.464315e-09
0.4357291.7123573.469179e-09
0.436341.7122593.474050e-09
0.4369531.7121613.478928e-09
0.4375661.7120633.483813e-09
0.438181.7119663.488705e-09
0.4387951.7118693.493603e-09
0.4394111.7117723.498508e-09
0.441.711683.503200e-09
0.4400281.7116763.503420e-09
0.4406451.711583.508336e-09
0.4412641.7114843.513259e-09
0.4418831.7113883.518189e-09
0.4425031.7112933.523126e-09
0.4431241.7111983.528070e-09
0.4437461.7111033.533020e-09
0.4443691.7110093.537978e-09
0.4449931.7109153.542942e-09
0.4456171.7108213.547914e-09
0.4462431.7107283.552892e-09
0.4468691.7106353.557878e-09
0.4474961.7105423.562870e-09
0.4481241.7104493.567870e-09
0.4487531.7103573.572876e-09
0.4493831.7102643.577890e-09
0.4500141.7101733.582910e-09
0.4506451.7100813.587938e-09
0.4512781.709993.592973e-09
0.4519111.7098993.598014e-09
0.4525461.7098083.603063e-09
0.4531811.7097183.608119e-09
0.4538171.7096283.613182e-09
0.4544541.7095383.618252e-09
0.4550921.7094483.623329e-09
0.455731.7093593.628414e-09
0.456371.709273.633505e-09
0.4570111.7091813.638604e-09
0.4576521.7090933.643709e-09
0.4582941.7090043.648822e-09
0.4589381.7089163.653943e-09
0.4595821.7088293.659070e-09
0.461.7087723.662400e-09
0.4602271.7087413.664204e-09
0.4608731.7086543.669346e-09
0.4615191.7085673.674495e-09
0.4621671.708483.679651e-09
0.4628161.7083943.684814e-09
0.4634651.7083083.689985e-09
0.4641161.7082223.695163e-09
0.4647671.7081363.700348e-09
0.465421.7080513.705541e-09
0.4660731.7079663.710740e-09
0.4667271.7078813.715947e-09
0.4673821.7077963.721162e-09
0.4680381.7077123.726383e-09
0.4686951.7076283.731612e-09
0.4693531.7075443.736848e-09
0.4700121.707463.742092e-09
0.4706711.7073773.747343e-09
0.4713321.7072943.752602e-09
0.4719931.7072113.757867e-09
0.4726561.7071293.763140e-09
0.4733191.7070463.768421e-09
0.4739841.7069643.773709e-09
0.4746491.7068823.779004e-09
0.4753151.7068013.784307e-09
0.4759821.7067193.789617e-09
0.476651.7066383.794935e-09
0.4773191.7065573.800260e-09
0.4779891.7064763.805593e-09
0.478661.7063963.810933e-09
0.4793321.7063163.816281e-09
0.481.7062363.821600e-09
0.4800051.7062363.821636e-09
0.4806781.7061563.827002e-09
0.4813531.7060773.832376e-09
0.4820281.7059973.837757e-09
0.4827051.7059183.843145e-09
0.4833821.705843.848541e-09
0.4840611.7057613.853945e-09
0.484741.7056833.859357e-09
0.4854211.7056053.864776e-09
0.4861021.7055273.870202e-09
0.4867841.7054493.875636e-09
0.4874671.7053723.881078e-09
0.4881521.7052953.886528e-09
0.4888371.7052183.891985e-09
0.4895231.7051413.897450e-09
0.490211.7050643.902922e-09
0.4908981.7049883.908402e-09
0.4915871.7049123.913890e-09
0.4922771.7048363.919385e-09
0.4929681.7047613.924889e-09
0.493661.7046853.930400e-09
0.4943531.704613.935918e-09
0.4950461.7045353.941445e-09
0.4957411.704463.946979e-09
0.4964371.7043863.952521e-09
0.4971341.7043123.958071e-09
0.4978321.7042373.963628e-09
0.498531.7041643.969193e-09
0.499231.704093.974766e-09
0.4999311.7040163.980347e-09
0.51.7040093.980900e-09
0.5006321.7039433.985934e-09
0.5013351.703873.991529e-09
0.5020391.7037973.997131e-09
0.5027431.7037254.002741e-09
0.5034491.7036524.008360e-09
0.5041551.703584.013986e-09
0.5048631.7035084.019619e-09
0.5055721.7034364.025261e-09
0.5062811.7033654.030911e-09
0.5069921.7032934.036569e-09
0.5077031.7032224.042234e-09
0.5084161.7031514.047908e-09
0.509131.7030814.053589e-09
0.5098441.703014.059279e-09
0.510561.702944.064976e-09
0.5112761.7028694.070682e-09
0.5119941.70284.076395e-09
0.5127121.702734.082117e-09
0.5134321.702664.087846e-09
0.5141531.7025914.093584e-09
0.5148741.7025224.099329e-09
0.5155971.7024534.105083e-09
0.5163211.7023844.110845e-09
0.5170451.7023154.116614e-09
0.5177711.7022474.122392e-09
0.5184981.7021794.128178e-09
0.5192251.7021114.133973e-09
0.5199541.7020434.139775e-09
0.5206841.7019754.145585e-09
0.5214151.7019084.151404e-09
0.5221471.7018414.157231e-09
0.5228791.7017744.163066e-09
0.5236131.7017074.168909e-09
0.5243481.701644.174760e-09
0.5250841.7015744.180620e-09
0.5258211.7015074.186487e-09
0.5265591.7014414.192363e-09
0.5272981.7013754.198248e-09
0.5280381.701314.204140e-09
0.5287791.7012444.210041e-09
0.5295211.7011794.215950e-09
0.5302651.7011144.221867e-09
0.5310091.7010494.227793e-09
0.5317541.7009844.233727e-09
0.5325011.7009194.239669e-09
0.5332481.7008554.245620e-09
0.5339961.700794.251579e-09
0.5347461.7007264.257546e-09
0.5354961.7006624.263522e-09
0.5362481.7005994.269506e-09
0.5370011.7005354.275499e-09
0.5377541.7004724.281500e-09
0.5385091.7004084.287509e-09
0.5392651.7003454.293527e-09
0.5400221.7002824.299553e-09
0.540781.700224.305588e-09
0.5415391.7001574.311631e-09
0.5422991.7000954.317682e-09
0.543061.7000334.323743e-09
0.5438221.6999714.329811e-09
0.5445851.6999094.335888e-09
0.545351.6998474.341974e-09
0.5461151.6997864.348068e-09
0.5468821.6997244.354171e-09
0.5476491.6996634.360282e-09
0.5484181.6996024.366402e-09
0.5491871.6995414.372531e-09
0.5499581.6994814.378668e-09
0.551.6994774.379000e-09
0.550731.699424.384812e-09
0.5515031.699364.390965e-09
0.5522771.69934.397126e-09
0.5530521.699244.403297e-09
0.5538291.699184.409475e-09
0.5546061.699124.415663e-09
0.5553841.6990614.421859e-09
0.5561641.6990014.428064e-09
0.5569441.6989424.434277e-09
0.5577261.6988834.440499e-09
0.5585091.6988244.446730e-09
0.5592931.6987654.452970e-09
0.5600781.6987074.459219e-09
0.5608641.6986484.465476e-09
0.5616511.698594.471742e-09
0.5624391.6985324.478017e-09
0.5632291.6984744.484300e-09
0.5640191.6984164.490593e-09
0.5648111.6983594.496894e-09
0.5656041.6983014.503204e-09
0.5663971.6982444.509523e-09
0.5671921.6981874.515851e-09
0.5679881.698134.522188e-09
0.5687861.6980734.528533e-09
0.5695841.6980164.534888e-09
0.5703831.6979594.541251e-09
0.5711841.6979034.547624e-09
0.5719861.6978474.554005e-09
0.5727881.6977914.560395e-09
0.5735921.6977354.566795e-09
0.5743971.6976794.573203e-09
0.5752041.6976234.579620e-09
0.5760111.6975684.586046e-09
0.5768191.6975124.592481e-09
0.5776291.6974574.598926e-09
0.578441.6974024.605379e-09
0.5792511.6973474.611841e-09
0.5800641.6972924.618313e-09
0.5808791.6972384.624793e-09
0.5816941.6971834.631283e-09
0.582511.6971294.637782e-09
0.5833281.6970744.644290e-09
0.5841471.697024.650807e-09
0.5849661.6969664.657333e-09
0.5857871.6969134.663868e-09
0.586611.6968594.670413e-09
0.5874331.6968054.676966e-09
0.5882571.6967524.683529e-09
0.5890831.6966994.690101e-09
0.589911.6966464.696682e-09
0.5907381.6965934.703273e-09
0.5915671.696544.709873e-09
0.5923971.6964874.716482e-09
0.5932291.6964354.723100e-09
0.5940611.6963824.729728e-09
0.5948951.696334.736365e-09
0.595731.6962784.743011e-09
0.5965661.6962264.749666e-09
0.5974031.6961744.756331e-09
0.5982421.6961224.763006e-09
0.5990821.696074.769689e-09
0.5999221.6960194.776382e-09
0.61.6960144.777000e-09
0.6007641.6959674.783086e-09
0.6016081.6959164.789800e-09
0.6024521.6958654.796523e-09
0.6032981.6958144.803255e-09
0.6041441.6957634.809997e-09
0.6049921.6957124.816748e-09
0.6058411.6956624.823509e-09
0.6066921.6956114.830279e-09
0.6075431.6955614.837059e-09
0.6083961.6955114.843848e-09
0.609251.6954614.850647e-09
0.6101051.6954114.857455e-09
0.6109611.6953614.864273e-09
0.6118191.6953114.871100e-09
0.6126771.6952624.877937e-09
0.6135371.6952124.884784e-09
0.6143981.6951634.891640e-09
0.6152611.6951144.898506e-09
0.6161241.6950644.905381e-09
0.6169891.6950164.912266e-09
0.6178551.6949674.919161e-09
0.6187221.6949184.926066e-09
0.6195911.6948694.932980e-09
0.620461.6948214.939904e-09
0.6213311.6947724.946837e-09
0.6222031.6947244.953781e-09
0.6230761.6946764.960734e-09
0.6239511.6946284.967697e-09
0.6248271.694584.974669e-09
0.6257041.6945324.981652e-09
0.6265821.6944854.988644e-09
0.6274611.6944374.995646e-09
0.6283421.694395.002658e-09
0.6292241.6943425.009679e-09
0.6301071.6942955.016711e-09
0.6309911.6942485.023752e-09
0.6318771.6942015.030803e-09
0.6327641.6941545.037865e-09
0.6336521.6941075.044936e-09
0.6345411.6940615.052017e-09
0.6354321.6940145.059108e-09
0.6363241.6939685.066208e-09
0.6372171.6939225.073319e-09
0.6381111.6938755.080440e-09
0.6390071.6938295.087571e-09
0.6399041.6937835.094712e-09
0.6408021.6937385.101863e-09
0.6417011.6936925.109024e-09
0.6426021.6936465.116194e-09
0.6435041.6936015.123375e-09
0.6444071.6935555.130567e-09
0.6453111.693515.137768e-09
0.6462171.6934655.144979e-09
0.6471241.693425.152200e-09
0.6480321.6933755.159432e-09
0.6489421.693335.166674e-09
0.6498521.6932855.173926e-09
0.651.6932785.175100e-09
0.6507651.693245.181188e-09
0.6516781.6931965.188460e-09
0.6525931.6931515.195742e-09
0.6535091.6931075.203035e-09
0.6544261.6930625.210338e-09
0.6553441.6930185.217651e-09
0.6562641.6929745.224974e-09
0.6571851.692935.232308e-09
0.6581081.6928865.239652e-09
0.6590311.6928435.247006e-09
0.6599561.6927995.254371e-09
0.6608821.6927555.261746e-09
0.661811.6927125.269131e-09
0.6627391.6926695.276527e-09
0.6636691.6926255.283933e-09
0.6646011.6925825.291349e-09
0.6655331.6925395.298776e-09
0.6664671.6924965.306213e-09
0.6674031.6924535.313661e-09
0.668341.6924115.321119e-09
0.6692781.6923685.328588e-09
0.6702171.6923255.336067e-09
0.6711581.6922835.343557e-09
0.67211.692245.351057e-09
0.6730431.6921985.358567e-09
0.6739881.6921565.366089e-09
0.6749331.6921145.373620e-09
0.6758811.6920725.381163e-09
0.6768291.692035.388716e-09
0.6777791.6919885.396279e-09
0.6787311.6919465.403853e-09
0.6796831.6919055.411438e-09
0.6806371.6918635.419033e-09
0.6815921.6918225.426639e-09
0.6825491.691785.434256e-09
0.6835071.6917395.441884e-09
0.6844661.6916985.449522e-09
0.6854271.6916575.457171e-09
0.6863891.6916165.464830e-09
0.6873521.6915755.472500e-09
0.6883171.6915345.480182e-09
0.6892831.6914945.487873e-09
0.6902511.6914535.495576e-09
0.6912191.6914125.503290e-09
0.692191.6913725.511014e-09
0.6931611.6913315.518749e-09
0.6941341.6912915.526495e-09
0.6951081.6912515.534252e-09
0.6960841.6912115.542020e-09
0.6970611.6911715.549798e-09
0.6980391.6911315.557588e-09
0.6990191.6910915.565389e-09
0.71.6910515.573200e-09

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
—