Optical constants

Refractive index of E-LAK02 (HIKARI)

E-LAK02: 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
1.67
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.78889
Permittivity ε2
1.56255e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
57.344
Chromatic dispersion dn/dλ
-0.0603276 µm⁻¹
Group index ng
1.70545
Group velocity dispersion
106.143 fs²/mm
Dispersion parameter D
-579.067 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-LAK02 (HIKARI): E-LAK02
hikari_e_lak02 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAK02", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lak02.range_nm)  # (400, 700) nm
eps = hikari_e_lak02.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=2.74241958−0.0130203862⁢λ2.0+0.0159689321⁢λ−2.0+0.000709178831⁢λ−4.0−6.08192466×10-5⁢λ−6.0+3.51166538×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.74241958
C2-0.0130203862
C32.0
C40.0159689321
C5-2.0
C60.000709178831
C7-4.0
C8-6.08192466e-05
C9-6.0
C103.51166538e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.670000
Vd
57.344444
glass code
670573
glass status
preferred
density
value: 3740
thermal expansion
value: 8.8e-06, temperature range: 243 343
dPgF
-0.0045

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-LAK02 (HIKARI), E-LAK02: n and k versus wavelength
λ (µm)nk
0.41.6906673.520800e-08
0.4005611.6905563.459572e-08
0.4011241.6904453.398259e-08
0.4016871.6903353.336859e-08
0.402251.6902243.275374e-08
0.4028151.6901153.213802e-08
0.403381.6900053.152143e-08
0.4039461.6898973.090398e-08
0.4045131.6897883.028566e-08
0.4050811.689682.966648e-08
0.405651.6895722.904643e-08
0.4062191.6894642.842550e-08
0.4067891.6893572.780371e-08
0.407361.689252.718104e-08
0.4079321.6891442.655750e-08
0.4085041.6890372.593308e-08
0.4090781.6889322.530779e-08
0.4096521.6888262.468161e-08
0.4102271.6887212.405456e-08
0.4108031.6886162.342663e-08
0.4113791.6885122.279782e-08
0.4119571.6884082.216813e-08
0.4125351.6883042.153755e-08
0.4131141.68822.090609e-08
0.4136941.6880972.027374e-08
0.4142741.6879941.964050e-08
0.4148561.6878921.900638e-08
0.4154381.687791.837136e-08
0.4160211.6876881.773546e-08
0.4166051.6875861.709866e-08
0.417191.6874851.646096e-08
0.4177751.6873841.582238e-08
0.4183621.6872841.518289e-08
0.4189491.6871841.454251e-08
0.4195371.6870841.390123e-08
0.421.6870051.339600e-08
0.4201261.6869841.333389e-08
0.4207151.6868851.304222e-08
0.4213061.6867861.275014e-08
0.4218971.6866871.245765e-08
0.4224891.6865891.216475e-08
0.4230821.6864911.187144e-08
0.4236761.6863931.157772e-08
0.4242711.6862961.128359e-08
0.4248661.6861991.098904e-08
0.4254621.6861021.069408e-08
0.426061.6860051.039871e-08
0.4266581.6859091.010292e-08
0.4272561.6858139.806715e-09
0.4278561.6857189.510096e-09
0.4284571.6856229.213061e-09
0.4290581.6855278.915608e-09
0.429661.6854338.617738e-09
0.4302631.6853388.319450e-09
0.4308671.6852448.020743e-09
0.4314721.685157.721617e-09
0.4320771.6850577.422071e-09
0.4326841.6849647.122105e-09
0.4332911.6848716.821718e-09
0.4338991.6847786.520909e-09
0.4345081.6846866.219678e-09
0.4351181.6845945.918024e-09
0.4357291.6845025.615947e-09
0.436341.684415.313446e-09
0.4369531.6843195.010520e-09
0.4375661.6842284.707169e-09
0.438181.6841374.403392e-09
0.4387951.6840474.099189e-09
0.4394111.6839573.794559e-09
0.441.6838713.503200e-09
0.4400281.6838673.503420e-09
0.4406451.6837783.508336e-09
0.4412641.6836883.513259e-09
0.4418831.6835993.518189e-09
0.4425031.6835113.523126e-09
0.4431241.6834223.528070e-09
0.4437461.6833343.533020e-09
0.4443691.6832463.537978e-09
0.4449931.6831583.542942e-09
0.4456171.6830713.547914e-09
0.4462431.6829843.552892e-09
0.4468691.6828973.557878e-09
0.4474961.682813.562870e-09
0.4481241.6827243.567870e-09
0.4487531.6826383.572876e-09
0.4493831.6825523.577890e-09
0.4500141.6824673.582910e-09
0.4506451.6823813.587938e-09
0.4512781.6822963.592973e-09
0.4519111.6822123.598014e-09
0.4525461.6821273.603063e-09
0.4531811.6820433.608119e-09
0.4538171.6819593.613182e-09
0.4544541.6818753.618252e-09
0.4550921.6817923.623329e-09
0.455731.6817083.628414e-09
0.456371.6816253.633505e-09
0.4570111.6815433.638604e-09
0.4576521.681463.643709e-09
0.4582941.6813783.648822e-09
0.4589381.6812963.653943e-09
0.4595821.6812143.659070e-09
0.461.6811613.662400e-09
0.4602271.6811333.664204e-09
0.4608731.6810513.669346e-09
0.4615191.680973.674495e-09
0.4621671.680893.679651e-09
0.4628161.6808093.684814e-09
0.4634651.6807293.689985e-09
0.4641161.6806493.695163e-09
0.4647671.6805693.700348e-09
0.465421.6804893.705541e-09
0.4660731.680413.710740e-09
0.4667271.6803313.715947e-09
0.4673821.6802523.721162e-09
0.4680381.6801733.726383e-09
0.4686951.6800953.731612e-09
0.4693531.6800173.736848e-09
0.4700121.6799393.742092e-09
0.4706711.6798613.747343e-09
0.4713321.6797843.752602e-09
0.4719931.6797073.757867e-09
0.4726561.679633.763140e-09
0.4733191.6795533.768421e-09
0.4739841.6794763.773709e-09
0.4746491.67943.779004e-09
0.4753151.6793243.784307e-09
0.4759821.6792483.789617e-09
0.476651.6791723.794935e-09
0.4773191.6790973.800260e-09
0.4779891.6790223.805593e-09
0.478661.6789473.810933e-09
0.4793321.6788723.816281e-09
0.481.6787983.821600e-09
0.4800051.6787973.821636e-09
0.4806781.6787233.827002e-09
0.4813531.6786493.832376e-09
0.4820281.6785753.837757e-09
0.4827051.6785013.843145e-09
0.4833821.6784283.848541e-09
0.4840611.6783553.853945e-09
0.484741.6782823.859357e-09
0.4854211.6782093.864776e-09
0.4861021.6781363.870202e-09
0.4867841.6780643.875636e-09
0.4874671.6779923.881078e-09
0.4881521.677923.886528e-09
0.4888371.6778483.891985e-09
0.4895231.6777763.897450e-09
0.490211.6777053.902922e-09
0.4908981.6776343.908402e-09
0.4915871.6775633.913890e-09
0.4922771.6774923.919385e-09
0.4929681.6774223.924889e-09
0.493661.6773523.930400e-09
0.4943531.6772813.935918e-09
0.4950461.6772123.941445e-09
0.4957411.6771423.946979e-09
0.4964371.6770723.952521e-09
0.4971341.6770033.958071e-09
0.4978321.6769343.963628e-09
0.498531.6768653.969193e-09
0.499231.6767963.974766e-09
0.4999311.6767283.980347e-09
0.51.6767213.980900e-09
0.5006321.676663.985934e-09
0.5013351.6765913.991529e-09
0.5020391.6765243.997131e-09
0.5027431.6764564.002741e-09
0.5034491.6763884.008360e-09
0.5041551.6763214.013986e-09
0.5048631.6762544.019619e-09
0.5055721.6761874.025261e-09
0.5062811.676124.030911e-09
0.5069921.6760544.036569e-09
0.5077031.6759874.042234e-09
0.5084161.6759214.047908e-09
0.509131.6758554.053589e-09
0.5098441.6757894.059279e-09
0.510561.6757244.064976e-09
0.5112761.6756584.070682e-09
0.5119941.6755934.076395e-09
0.5127121.6755284.082117e-09
0.5134321.6754634.087846e-09
0.5141531.6753994.093584e-09
0.5148741.6753344.099329e-09
0.5155971.675274.105083e-09
0.5163211.6752064.110845e-09
0.5170451.6751424.116614e-09
0.5177711.6750784.122392e-09
0.5184981.6750144.128178e-09
0.5192251.6749514.133973e-09
0.5199541.6748884.139775e-09
0.5206841.6748254.145585e-09
0.5214151.6747624.151404e-09
0.5221471.6746994.157231e-09
0.5228791.6746374.163066e-09
0.5236131.6745744.168909e-09
0.5243481.6745124.174760e-09
0.5250841.674454.180620e-09
0.5258211.6743884.186487e-09
0.5265591.6743274.192363e-09
0.5272981.6742654.198248e-09
0.5280381.6742044.204140e-09
0.5287791.6741434.210041e-09
0.5295211.6740824.215950e-09
0.5302651.6740214.221867e-09
0.5310091.6739614.227793e-09
0.5317541.67394.233727e-09
0.5325011.673844.239669e-09
0.5332481.673784.245620e-09
0.5339961.673724.251579e-09
0.5347461.673664.257546e-09
0.5354961.67364.263522e-09
0.5362481.6735414.269506e-09
0.5370011.6734824.275499e-09
0.5377541.6734234.281500e-09
0.5385091.6733644.287509e-09
0.5392651.6733054.293527e-09
0.5400221.6732464.299553e-09
0.540781.6731884.305588e-09
0.5415391.673134.311631e-09
0.5422991.6730724.317682e-09
0.543061.6730144.323743e-09
0.5438221.6729564.329811e-09
0.5445851.6728984.335888e-09
0.545351.6728414.341974e-09
0.5461151.6727834.348068e-09
0.5468821.6727264.354171e-09
0.5476491.6726694.360282e-09
0.5484181.6726124.366402e-09
0.5491871.6725564.372531e-09
0.5499581.6724994.378668e-09
0.551.6724964.379000e-09
0.550731.6724434.384812e-09
0.5515031.6723864.390965e-09
0.5522771.672334.397126e-09
0.5530521.6722754.403297e-09
0.5538291.6722194.409475e-09
0.5546061.6721634.415663e-09
0.5553841.6721084.421859e-09
0.5561641.6720524.428064e-09
0.5569441.6719974.434277e-09
0.5577261.6719424.440499e-09
0.5585091.6718874.446730e-09
0.5592931.6718334.452970e-09
0.5600781.6717784.459219e-09
0.5608641.6717244.465476e-09
0.5616511.6716694.471742e-09
0.5624391.6716154.478017e-09
0.5632291.6715614.484300e-09
0.5640191.6715074.490593e-09
0.5648111.6714544.496894e-09
0.5656041.67144.503204e-09
0.5663971.6713474.509523e-09
0.5671921.6712944.515851e-09
0.5679881.6712414.522188e-09
0.5687861.6711884.528533e-09
0.5695841.6711354.534888e-09
0.5703831.6710824.541251e-09
0.5711841.671034.547624e-09
0.5719861.6709774.554005e-09
0.5727881.6709254.560395e-09
0.5735921.6708734.566795e-09
0.5743971.6708214.573203e-09
0.5752041.6707694.579620e-09
0.5760111.6707174.586046e-09
0.5768191.6706664.592481e-09
0.5776291.6706144.598926e-09
0.578441.6705634.605379e-09
0.5792511.6705124.611841e-09
0.5800641.6704614.618313e-09
0.5808791.670414.624793e-09
0.5816941.6703594.631283e-09
0.582511.6703094.637782e-09
0.5833281.6702584.644290e-09
0.5841471.6702084.650807e-09
0.5849661.6701584.657333e-09
0.5857871.6701084.663868e-09
0.586611.6700584.670413e-09
0.5874331.6700084.676966e-09
0.5882571.6699584.683529e-09
0.5890831.6699094.690101e-09
0.589911.6698594.696682e-09
0.5907381.669814.703273e-09
0.5915671.6697614.709873e-09
0.5923971.6697124.716482e-09
0.5932291.6696634.723100e-09
0.5940611.6696144.729728e-09
0.5948951.6695654.736365e-09
0.595731.6695174.743011e-09
0.5965661.6694684.749666e-09
0.5974031.669424.756331e-09
0.5982421.6693724.763006e-09
0.5990821.6693244.769689e-09
0.5999221.6692764.776382e-09
0.61.6692724.777000e-09
0.6007641.6692284.783086e-09
0.6016081.6691814.789800e-09
0.6024521.6691334.796523e-09
0.6032981.6690864.803255e-09
0.6041441.6690384.809997e-09
0.6049921.6689914.816748e-09
0.6058411.6689444.823509e-09
0.6066921.6688974.830279e-09
0.6075431.6688514.837059e-09
0.6083961.6688044.843848e-09
0.609251.6687574.850647e-09
0.6101051.6687114.857455e-09
0.6109611.6686654.864273e-09
0.6118191.6686184.871100e-09
0.6126771.6685724.877937e-09
0.6135371.6685264.884784e-09
0.6143981.668484.891640e-09
0.6152611.6684354.898506e-09
0.6161241.6683894.905381e-09
0.6169891.6683444.912266e-09
0.6178551.6682984.919161e-09
0.6187221.6682534.926066e-09
0.6195911.6682084.932980e-09
0.620461.6681634.939904e-09
0.6213311.6681184.946837e-09
0.6222031.6680734.953781e-09
0.6230761.6680284.960734e-09
0.6239511.6679844.967697e-09
0.6248271.6679394.974669e-09
0.6257041.6678954.981652e-09
0.6265821.6678514.988644e-09
0.6274611.6678064.995646e-09
0.6283421.6677625.002658e-09
0.6292241.6677195.009679e-09
0.6301071.6676755.016711e-09
0.6309911.6676315.023752e-09
0.6318771.6675875.030803e-09
0.6327641.6675445.037865e-09
0.6336521.6675015.044936e-09
0.6345411.6674575.052017e-09
0.6354321.6674145.059108e-09
0.6363241.6673715.066208e-09
0.6372171.6673285.073319e-09
0.6381111.6672855.080440e-09
0.6390071.6672425.087571e-09
0.6399041.66725.094712e-09
0.6408021.6671575.101863e-09
0.6417011.6671155.109024e-09
0.6426021.6670725.116194e-09
0.6435041.667035.123375e-09
0.6444071.6669885.130567e-09
0.6453111.6669465.137768e-09
0.6462171.6669045.144979e-09
0.6471241.6668625.152200e-09
0.6480321.6668215.159432e-09
0.6489421.6667795.166674e-09
0.6498521.6667375.173926e-09
0.651.6667315.175100e-09
0.6507651.6666965.181188e-09
0.6516781.6666555.188460e-09
0.6525931.6666135.195742e-09
0.6535091.6665725.203035e-09
0.6544261.6665315.210338e-09
0.6553441.666495.217651e-09
0.6562641.666455.224974e-09
0.6571851.6664095.232308e-09
0.6581081.6663685.239652e-09
0.6590311.6663285.247006e-09
0.6599561.6662875.254371e-09
0.6608821.6662475.261746e-09
0.661811.6662075.269131e-09
0.6627391.6661665.276527e-09
0.6636691.6661265.283933e-09
0.6646011.6660865.291349e-09
0.6655331.6660475.298776e-09
0.6664671.6660075.306213e-09
0.6674031.6659675.313661e-09
0.668341.6659275.321119e-09
0.6692781.6658885.328588e-09
0.6702171.6658495.336067e-09
0.6711581.6658095.343557e-09
0.67211.665775.351057e-09
0.6730431.6657315.358567e-09
0.6739881.6656925.366089e-09
0.6749331.6656535.373620e-09
0.6758811.6656145.381163e-09
0.6768291.6655755.388716e-09
0.6777791.6655365.396279e-09
0.6787311.6654985.403853e-09
0.6796831.6654595.411438e-09
0.6806371.6654215.419033e-09
0.6815921.6653835.426639e-09
0.6825491.6653445.434256e-09
0.6835071.6653065.441884e-09
0.6844661.6652685.449522e-09
0.6854271.665235.457171e-09
0.6863891.6651925.464830e-09
0.6873521.6651545.472500e-09
0.6883171.6651175.480182e-09
0.6892831.6650795.487873e-09
0.6902511.6650415.495576e-09
0.6912191.6650045.503290e-09
0.692191.6649665.511014e-09
0.6931611.6649295.518749e-09
0.6941341.6648925.526495e-09
0.6951081.6648555.534252e-09
0.6960841.6648185.542020e-09
0.6970611.6647815.549798e-09
0.6980391.6647445.557588e-09
0.6990191.6647075.565389e-09
0.71.664675.573200e-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
—