Optical constants

Refractive index of E-LAK18 (HIKARI)

E-LAK18: 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
1.72915
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.98997
Permittivity ε2
1.61790e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
54.659
Chromatic dispersion dn/dλ
-0.0688801 µm⁻¹
Group index ng
1.76963
Group velocity dispersion
120.753 fs²/mm
Dispersion parameter D
-658.773 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-LAK18 (HIKARI): E-LAK18
hikari_e_lak18 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-LAK18", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_lak18.range_nm)  # (400, 700) nm
eps = hikari_e_lak18.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=2.93385862−0.0150347642⁢λ2.0+0.0198579837⁢λ−2.0+0.000500310675⁢λ−4.0−2.05752531×10-5⁢λ−6.0+1.37499776×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.93385862
C2-0.0150347642
C32.0
C40.0198579837
C5-2.0
C60.000500310675
C7-4.0
C8-2.05752531e-05
C9-6.0
C101.37499776e-06
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.729157
Vd
54.658831
glass code
729547
glass status
preferred
density
value: 4160
thermal expansion
value: 6.9e-06, temperature range: 243 343
dPgF
-0.0084

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-LAK18 (HIKARI), E-LAK18: n and k versus wavelength
λ (µm)nk
0.41.7527653.184700e-09
0.4005611.7526383.189169e-09
0.4011241.7525113.193644e-09
0.4016871.7523853.198125e-09
0.402251.7522593.202613e-09
0.4028151.7521343.207107e-09
0.403381.7520093.211607e-09
0.4039461.7518843.216114e-09
0.4045131.751763.220627e-09
0.4050811.7516373.225146e-09
0.405651.7515133.229672e-09
0.4062191.751393.234204e-09
0.4067891.7512683.238742e-09
0.407361.7511463.243287e-09
0.4079321.7510243.247838e-09
0.4085041.7509033.252395e-09
0.4090781.7507823.256959e-09
0.4096521.7506613.261529e-09
0.4102271.7505413.266106e-09
0.4108031.7504213.270689e-09
0.4113791.7503023.275279e-09
0.4119571.7501833.279875e-09
0.4125351.7500643.284477e-09
0.4131141.7499463.289086e-09
0.4136941.7498283.293701e-09
0.4142741.749713.298323e-09
0.4148561.7495933.302951e-09
0.4154381.7494763.307586e-09
0.4160211.749363.312227e-09
0.4166051.7492443.316875e-09
0.417191.7491283.321530e-09
0.4177751.7490133.326191e-09
0.4183621.7488983.330858e-09
0.4189491.7487833.335532e-09
0.4195371.7486693.340212e-09
0.421.7485793.343900e-09
0.4201261.7485553.344900e-09
0.4207151.7484423.349597e-09
0.4213061.7483293.354300e-09
0.4218971.7482163.359010e-09
0.4224891.7481033.363726e-09
0.4230821.7479913.368449e-09
0.4236761.747883.373179e-09
0.4242711.7477683.377915e-09
0.4248661.7476573.382658e-09
0.4254621.7475473.387408e-09
0.426061.7474363.392164e-09
0.4266581.7473263.396927e-09
0.4272561.7472173.401697e-09
0.4278561.7471073.406473e-09
0.4284571.7469983.411256e-09
0.4290581.746893.416046e-09
0.429661.7467813.420843e-09
0.4302631.7466743.425646e-09
0.4308671.7465663.430456e-09
0.4314721.7464593.435272e-09
0.4320771.7463523.440096e-09
0.4326841.7462453.444926e-09
0.4332911.7461393.449763e-09
0.4338991.7460333.454607e-09
0.4345081.7459273.459458e-09
0.4351181.7458223.464315e-09
0.4357291.7457173.469179e-09
0.436341.7456133.474050e-09
0.4369531.7455083.478928e-09
0.4375661.7454043.483813e-09
0.438181.7453013.488705e-09
0.4387951.7451973.493603e-09
0.4394111.7450943.498508e-09
0.441.7449963.503200e-09
0.4400281.7449923.503420e-09
0.4406451.7448893.508336e-09
0.4412641.7447873.513259e-09
0.4418831.7446853.518189e-09
0.4425031.7445843.523126e-09
0.4431241.7444833.528070e-09
0.4437461.7443823.533020e-09
0.4443691.7442823.537978e-09
0.4449931.7441813.542942e-09
0.4456171.7440813.547914e-09
0.4462431.7439823.552892e-09
0.4468691.7438833.557878e-09
0.4474961.7437843.562870e-09
0.4481241.7436853.567870e-09
0.4487531.7435873.572876e-09
0.4493831.7434893.577890e-09
0.4500141.7433913.582910e-09
0.4506451.7432933.587938e-09
0.4512781.7431963.592973e-09
0.4519111.7430993.598014e-09
0.4525461.7430033.603063e-09
0.4531811.7429063.608119e-09
0.4538171.742813.613182e-09
0.4544541.7427153.618252e-09
0.4550921.7426193.623329e-09
0.455731.7425243.628414e-09
0.456371.7424293.633505e-09
0.4570111.7423353.638604e-09
0.4576521.7422413.643709e-09
0.4582941.7421473.648822e-09
0.4589381.7420533.653943e-09
0.4595821.7419593.659070e-09
0.461.7418993.662400e-09
0.4602271.7418663.664204e-09
0.4608731.7417743.669346e-09
0.4615191.7416813.674495e-09
0.4621671.7415893.679651e-09
0.4628161.7414973.684814e-09
0.4634651.7414053.689985e-09
0.4641161.7413133.695163e-09
0.4647671.7412223.700348e-09
0.465421.7411313.705541e-09
0.4660731.7410413.710740e-09
0.4667271.740953.715947e-09
0.4673821.740863.721162e-09
0.4680381.740773.726383e-09
0.4686951.7406813.731612e-09
0.4693531.7405923.736848e-09
0.4700121.7405033.742092e-09
0.4706711.7404143.747343e-09
0.4713321.7403253.752602e-09
0.4719931.7402373.757867e-09
0.4726561.7401493.763140e-09
0.4733191.7400623.768421e-09
0.4739841.7399743.773709e-09
0.4746491.7398873.779004e-09
0.4753151.73983.784307e-09
0.4759821.7397133.789617e-09
0.476651.7396273.794935e-09
0.4773191.7395413.800260e-09
0.4779891.7394553.805593e-09
0.478661.7393693.810933e-09
0.4793321.7392843.816281e-09
0.481.7391993.821600e-09
0.4800051.7391993.821636e-09
0.4806781.7391143.827002e-09
0.4813531.7390293.832376e-09
0.4820281.7389453.837757e-09
0.4827051.7388613.843145e-09
0.4833821.7387773.848541e-09
0.4840611.7386933.853945e-09
0.484741.738613.859357e-09
0.4854211.7385273.864776e-09
0.4861021.7384443.870202e-09
0.4867841.7383613.875636e-09
0.4874671.7382793.881078e-09
0.4881521.7381973.886528e-09
0.4888371.7381153.891985e-09
0.4895231.7380333.897450e-09
0.490211.7379523.902922e-09
0.4908981.737873.908402e-09
0.4915871.7377893.913890e-09
0.4922771.7377093.919385e-09
0.4929681.7376283.924889e-09
0.493661.7375483.930400e-09
0.4943531.7374683.935918e-09
0.4950461.7373883.941445e-09
0.4957411.7373083.946979e-09
0.4964371.7372293.952521e-09
0.4971341.737153.958071e-09
0.4978321.7370713.963628e-09
0.498531.7369923.969193e-09
0.499231.7369143.974766e-09
0.4999311.7368363.980347e-09
0.51.7368283.980900e-09
0.5006321.7367583.985934e-09
0.5013351.736683.991529e-09
0.5020391.7366033.997131e-09
0.5027431.7365254.002741e-09
0.5034491.7364484.008360e-09
0.5041551.7363714.013986e-09
0.5048631.7362954.019619e-09
0.5055721.7362184.025261e-09
0.5062811.7361424.030911e-09
0.5069921.7360664.036569e-09
0.5077031.7359914.042234e-09
0.5084161.7359154.047908e-09
0.509131.735844.053589e-09
0.5098441.7357654.059279e-09
0.510561.735694.064976e-09
0.5112761.7356154.070682e-09
0.5119941.7355414.076395e-09
0.5127121.7354664.082117e-09
0.5134321.7353924.087846e-09
0.5141531.7353194.093584e-09
0.5148741.7352454.099329e-09
0.5155971.7351724.105083e-09
0.5163211.7350984.110845e-09
0.5170451.7350254.116614e-09
0.5177711.7349534.122392e-09
0.5184981.734884.128178e-09
0.5192251.7348084.133973e-09
0.5199541.7347364.139775e-09
0.5206841.7346644.145585e-09
0.5214151.7345924.151404e-09
0.5221471.734524.157231e-09
0.5228791.7344494.163066e-09
0.5236131.7343784.168909e-09
0.5243481.7343074.174760e-09
0.5250841.7342364.180620e-09
0.5258211.7341664.186487e-09
0.5265591.7340954.192363e-09
0.5272981.7340254.198248e-09
0.5280381.7339554.204140e-09
0.5287791.7338854.210041e-09
0.5295211.7338164.215950e-09
0.5302651.7337474.221867e-09
0.5310091.7336774.227793e-09
0.5317541.7336084.233727e-09
0.5325011.733544.239669e-09
0.5332481.7334714.245620e-09
0.5339961.7334034.251579e-09
0.5347461.7333354.257546e-09
0.5354961.7332674.263522e-09
0.5362481.7331994.269506e-09
0.5370011.7331314.275499e-09
0.5377541.7330644.281500e-09
0.5385091.7329964.287509e-09
0.5392651.7329294.293527e-09
0.5400221.7328624.299553e-09
0.540781.7327964.305588e-09
0.5415391.7327294.311631e-09
0.5422991.7326634.317682e-09
0.543061.7325974.323743e-09
0.5438221.7325314.329811e-09
0.5445851.7324654.335888e-09
0.545351.7323994.341974e-09
0.5461151.7323344.348068e-09
0.5468821.7322694.354171e-09
0.5476491.7322044.360282e-09
0.5484181.7321394.366402e-09
0.5491871.7320744.372531e-09
0.5499581.732014.378668e-09
0.551.7320064.379000e-09
0.550731.7319454.384812e-09
0.5515031.7318814.390965e-09
0.5522771.7318174.397126e-09
0.5530521.7317534.403297e-09
0.5538291.731694.409475e-09
0.5546061.7316264.415663e-09
0.5553841.7315634.421859e-09
0.5561641.73154.428064e-09
0.5569441.7314374.434277e-09
0.5577261.7313744.440499e-09
0.5585091.7313114.446730e-09
0.5592931.7312494.452970e-09
0.5600781.7311874.459219e-09
0.5608641.7311254.465476e-09
0.5616511.7310634.471742e-09
0.5624391.7310014.478017e-09
0.5632291.7309394.484300e-09
0.5640191.7308784.490593e-09
0.5648111.7308174.496894e-09
0.5656041.7307554.503204e-09
0.5663971.7306954.509523e-09
0.5671921.7306344.515851e-09
0.5679881.7305734.522188e-09
0.5687861.7305134.528533e-09
0.5695841.7304524.534888e-09
0.5703831.7303924.541251e-09
0.5711841.7303324.547624e-09
0.5719861.7302734.554005e-09
0.5727881.7302134.560395e-09
0.5735921.7301534.566795e-09
0.5743971.7300944.573203e-09
0.5752041.7300354.579620e-09
0.5760111.7299764.586046e-09
0.5768191.7299174.592481e-09
0.5776291.7298584.598926e-09
0.578441.72984.605379e-09
0.5792511.7297414.611841e-09
0.5800641.7296834.618313e-09
0.5808791.7296254.624793e-09
0.5816941.7295674.631283e-09
0.582511.7295094.637782e-09
0.5833281.7294524.644290e-09
0.5841471.7293944.650807e-09
0.5849661.7293374.657333e-09
0.5857871.729284.663868e-09
0.586611.7292234.670413e-09
0.5874331.7291664.676966e-09
0.5882571.7291094.683529e-09
0.5890831.7290534.690101e-09
0.589911.7289964.696682e-09
0.5907381.728944.703273e-09
0.5915671.7288844.709873e-09
0.5923971.7288284.716482e-09
0.5932291.7287724.723100e-09
0.5940611.7287164.729728e-09
0.5948951.7286614.736365e-09
0.595731.7286054.743011e-09
0.5965661.728554.749666e-09
0.5974031.7284954.756331e-09
0.5982421.728444.763006e-09
0.5990821.7283854.769689e-09
0.5999221.728334.776382e-09
0.61.7283254.777000e-09
0.6007641.7282764.783086e-09
0.6016081.7282214.789800e-09
0.6024521.7281674.796523e-09
0.6032981.7281134.803255e-09
0.6041441.7280594.809997e-09
0.6049921.7280054.816748e-09
0.6058411.7279514.823509e-09
0.6066921.7278984.830279e-09
0.6075431.7278444.837059e-09
0.6083961.7277914.843848e-09
0.609251.7277384.850647e-09
0.6101051.7276854.857455e-09
0.6109611.7276324.864273e-09
0.6118191.7275794.871100e-09
0.6126771.7275274.877937e-09
0.6135371.7274744.884784e-09
0.6143981.7274224.891640e-09
0.6152611.7273694.898506e-09
0.6161241.7273174.905381e-09
0.6169891.7272654.912266e-09
0.6178551.7272134.919161e-09
0.6187221.7271624.926066e-09
0.6195911.727114.932980e-09
0.620461.7270594.939904e-09
0.6213311.7270074.946837e-09
0.6222031.7269564.953781e-09
0.6230761.7269054.960734e-09
0.6239511.7268544.967697e-09
0.6248271.7268034.974669e-09
0.6257041.7267534.981652e-09
0.6265821.7267024.988644e-09
0.6274611.7266524.995646e-09
0.6283421.7266015.002658e-09
0.6292241.7265515.009679e-09
0.6301071.7265015.016711e-09
0.6309911.7264515.023752e-09
0.6318771.7264015.030803e-09
0.6327641.7263515.037865e-09
0.6336521.7263025.044936e-09
0.6345411.7262525.052017e-09
0.6354321.7262035.059108e-09
0.6363241.7261545.066208e-09
0.6372171.7261055.073319e-09
0.6381111.7260565.080440e-09
0.6390071.7260075.087571e-09
0.6399041.7259585.094712e-09
0.6408021.7259095.101863e-09
0.6417011.7258615.109024e-09
0.6426021.7258135.116194e-09
0.6435041.7257645.123375e-09
0.6444071.7257165.130567e-09
0.6453111.7256685.137768e-09
0.6462171.725625.144979e-09
0.6471241.7255725.152200e-09
0.6480321.7255255.159432e-09
0.6489421.7254775.166674e-09
0.6498521.725435.173926e-09
0.651.7254225.175100e-09
0.6507651.7253825.181188e-09
0.6516781.7253355.188460e-09
0.6525931.7252885.195742e-09
0.6535091.7252415.203035e-09
0.6544261.7251945.210338e-09
0.6553441.7251475.217651e-09
0.6562641.72515.224974e-09
0.6571851.7250545.232308e-09
0.6581081.7250075.239652e-09
0.6590311.7249615.247006e-09
0.6599561.7249155.254371e-09
0.6608821.7248695.261746e-09
0.661811.7248225.269131e-09
0.6627391.7247775.276527e-09
0.6636691.7247315.283933e-09
0.6646011.7246855.291349e-09
0.6655331.7246395.298776e-09
0.6664671.7245945.306213e-09
0.6674031.7245485.313661e-09
0.668341.7245035.321119e-09
0.6692781.7244585.328588e-09
0.6702171.7244135.336067e-09
0.6711581.7243685.343557e-09
0.67211.7243235.351057e-09
0.6730431.7242785.358567e-09
0.6739881.7242345.366089e-09
0.6749331.7241895.373620e-09
0.6758811.7241455.381163e-09
0.6768291.72415.388716e-09
0.6777791.7240565.396279e-09
0.6787311.7240125.403853e-09
0.6796831.7239685.411438e-09
0.6806371.7239245.419033e-09
0.6815921.723885.426639e-09
0.6825491.7238365.434256e-09
0.6835071.7237925.441884e-09
0.6844661.7237495.449522e-09
0.6854271.7237055.457171e-09
0.6863891.7236625.464830e-09
0.6873521.7236195.472500e-09
0.6883171.7235755.480182e-09
0.6892831.7235325.487873e-09
0.6902511.7234895.495576e-09
0.6912191.7234465.503290e-09
0.692191.7234045.511014e-09
0.6931611.7233615.518749e-09
0.6941341.7233185.526495e-09
0.6951081.7232765.534252e-09
0.6960841.7232335.542020e-09
0.6970611.7231915.549798e-09
0.6980391.7231495.557588e-09
0.6990191.7231065.565389e-09
0.71.7230645.573200e-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
—