Optical constants

Refractive index of LAF3 (HIKARI)

LAF3: 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
1.717
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.94808
Permittivity ε2
1.60652e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
48.126
Chromatic dispersion dn/dλ
-0.076785 µm⁻¹
Group index ng
1.76212
Group velocity dispersion
138.501 fs²/mm
Dispersion parameter D
-755.598 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

# LAF3 (HIKARI): LAF3
hikari_laf3 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "LAF3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_laf3.range_nm)  # (400, 700) nm
eps = hikari_laf3.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=2.830874+0.02556412⁢λ2.0+0.05044859⁢λ−2.0−0.00670398⁢λ−4.0+0.0008789224⁢λ−6.0−4.052452×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.830874
C20.02556412
C32.0
C40.05044859
C5-2.0
C6-0.00670398
C7-4.0
C80.0008789224
C9-6.0
C10-4.052452e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.717000
Vd
48.125992
glass code
717481
glass status
preferred
density
value: 3770
thermal expansion
value: 7.9e-06, temperature range: 243 343
dPgF
-0.0078

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
LAF3 (HIKARI), LAF3: n and k versus wavelength
λ (µm)nk
0.41.7438861.432300e-07
0.4005611.7437391.412965e-07
0.4011241.7435911.393603e-07
0.4016871.7434451.374213e-07
0.402251.7432981.354797e-07
0.4028151.7431531.335353e-07
0.403381.7430071.315882e-07
0.4039461.7428631.296384e-07
0.4045131.7427181.276858e-07
0.4050811.7425741.257305e-07
0.405651.7424311.237724e-07
0.4062191.7422881.218116e-07
0.4067891.7421451.198480e-07
0.407361.7420031.178817e-07
0.4079321.7418621.159126e-07
0.4085041.7417211.139408e-07
0.4090781.741581.119662e-07
0.4096521.741441.099888e-07
0.4102271.74131.080086e-07
0.4108031.7411611.060257e-07
0.4113791.7410221.040400e-07
0.4119571.7408841.020515e-07
0.4125351.7407461.000602e-07
0.4131141.7406089.806607e-08
0.4136941.7404719.606918e-08
0.4142741.7403359.406948e-08
0.4148561.7401999.206698e-08
0.4154381.7400639.006167e-08
0.4160211.7399288.805355e-08
0.4166051.7397938.604260e-08
0.417191.7396598.402883e-08
0.4177751.7395258.201224e-08
0.4183621.7393927.999282e-08
0.4189491.7392597.797056e-08
0.4195371.7391267.594546e-08
0.421.7390237.435000e-08
0.4201261.7389947.419313e-08
0.4207151.7388637.345653e-08
0.4213061.7387327.271890e-08
0.4218971.7386017.198023e-08
0.4224891.7384717.124052e-08
0.4230821.7383417.049977e-08
0.4236761.7382116.975799e-08
0.4242711.7380836.901516e-08
0.4248661.7379546.827129e-08
0.4254621.7378266.752638e-08
0.426061.7376986.678042e-08
0.4266581.7375716.603341e-08
0.4272561.7374446.528536e-08
0.4278561.7373186.453625e-08
0.4284571.7371926.378610e-08
0.4290581.7370666.303489e-08
0.429661.7369416.228263e-08
0.4302631.7368176.152931e-08
0.4308671.7366926.077493e-08
0.4314721.7365686.001950e-08
0.4320771.7364455.926300e-08
0.4326841.7363225.850545e-08
0.4332911.7361995.774683e-08
0.4338991.7360775.698714e-08
0.4345081.7359555.622639e-08
0.4351181.7358345.546457e-08
0.4357291.7357135.470169e-08
0.436341.7355935.393773e-08
0.4369531.7354735.317270e-08
0.4375661.7353535.240659e-08
0.438181.7352335.163941e-08
0.4387951.7351155.087116e-08
0.4394111.7349965.010182e-08
0.441.7348834.936600e-08
0.4400281.7348784.933836e-08
0.4406451.734764.872188e-08
0.4412641.7346434.810453e-08
0.4418831.7345264.748632e-08
0.4425031.7344094.686724e-08
0.4431241.7342934.624729e-08
0.4437461.7341774.562647e-08
0.4443691.7340624.500478e-08
0.4449931.7339474.438222e-08
0.4456171.7338324.375878e-08
0.4462431.7337184.313447e-08
0.4468691.7336044.250928e-08
0.4474961.7334914.188322e-08
0.4481241.7333784.125627e-08
0.4487531.7332654.062845e-08
0.4493831.7331533.999975e-08
0.4500141.7330413.937016e-08
0.4506451.7329293.873969e-08
0.4512781.7328183.810833e-08
0.4519111.7327073.747609e-08
0.4525461.7325973.684296e-08
0.4531811.7324873.620894e-08
0.4538171.7323773.557403e-08
0.4544541.7322673.493824e-08
0.4550921.7321583.430154e-08
0.455731.732053.366396e-08
0.456371.7319423.302548e-08
0.4570111.7318343.238610e-08
0.4576521.7317263.174583e-08
0.4582941.7316193.110466e-08
0.4589381.7315123.046259e-08
0.4595821.7314052.981961e-08
0.461.7313362.940200e-08
0.4602271.7312992.919884e-08
0.4608731.7311932.861988e-08
0.4615191.7310882.804011e-08
0.4621671.7309832.745952e-08
0.4628161.7308782.687812e-08
0.4634651.7307732.629591e-08
0.4641161.7306692.571288e-08
0.4647671.7305662.512903e-08
0.465421.7304622.454436e-08
0.4660731.7303592.395887e-08
0.4667271.7302562.337255e-08
0.4673821.7301542.278542e-08
0.4680381.7300522.219746e-08
0.4686951.729952.160868e-08
0.4693531.7298492.101907e-08
0.4700121.7297482.042863e-08
0.4706711.7296471.983736e-08
0.4713321.7295461.924526e-08
0.4719931.7294461.865234e-08
0.4726561.7293461.805858e-08
0.4733191.7292471.746398e-08
0.4739841.7291481.686855e-08
0.4746491.7290491.627229e-08
0.4753151.728951.567519e-08
0.4759821.7288521.507725e-08
0.476651.7287541.447847e-08
0.4773191.7286571.387886e-08
0.4779891.7285591.327840e-08
0.478661.7284621.267709e-08
0.4793321.7283661.207495e-08
0.481.728271.147600e-08
0.4800051.7282691.147431e-08
0.4806781.7281731.122184e-08
0.4813531.7280771.096901e-08
0.4820281.7279821.071583e-08
0.4827051.7278871.046229e-08
0.4833821.7277921.020840e-08
0.4840611.7276979.954147e-09
0.484741.7276039.699541e-09
0.4854211.7275099.444577e-09
0.4861021.7274169.189256e-09
0.4867841.7273228.933576e-09
0.4874671.7272298.677537e-09
0.4881521.7271368.421139e-09
0.4888371.7270448.164382e-09
0.4895231.7269527.907263e-09
0.490211.726867.649784e-09
0.4908981.7267687.391944e-09
0.4915871.7266777.133741e-09
0.4922771.7265866.875176e-09
0.4929681.7264956.616249e-09
0.493661.7264046.356957e-09
0.4943531.7263146.097302e-09
0.4950461.7262245.837283e-09
0.4957411.7261345.576899e-09
0.4964371.7260455.316149e-09
0.4971341.7259565.055033e-09
0.4978321.7258674.793550e-09
0.498531.7257784.531701e-09
0.499231.725694.269484e-09
0.4999311.7256024.006899e-09
0.51.7255933.980900e-09
0.5006321.7255143.985934e-09
0.5013351.7254273.991529e-09
0.5020391.725343.997131e-09
0.5027431.7252534.002741e-09
0.5034491.7251664.008360e-09
0.5041551.7250794.013986e-09
0.5048631.7249934.019619e-09
0.5055721.7249074.025261e-09
0.5062811.7248224.030911e-09
0.5069921.7247364.036569e-09
0.5077031.7246514.042234e-09
0.5084161.7245664.047908e-09
0.509131.7244814.053589e-09
0.5098441.7243974.059279e-09
0.510561.7243134.064976e-09
0.5112761.7242294.070682e-09
0.5119941.7241454.076395e-09
0.5127121.7240624.082117e-09
0.5134321.7239794.087846e-09
0.5141531.7238964.093584e-09
0.5148741.7238134.099329e-09
0.5155971.7237314.105083e-09
0.5163211.7236494.110845e-09
0.5170451.7235674.116614e-09
0.5177711.7234854.122392e-09
0.5184981.7234034.128178e-09
0.5192251.7233224.133973e-09
0.5199541.7232414.139775e-09
0.5206841.7231614.145585e-09
0.5214151.723084.151404e-09
0.5221471.7234.157231e-09
0.5228791.722924.163066e-09
0.5236131.722844.168909e-09
0.5243481.722764.174760e-09
0.5250841.7226814.180620e-09
0.5258211.7226024.186487e-09
0.5265591.7225234.192363e-09
0.5272981.7224444.198248e-09
0.5280381.7223664.204140e-09
0.5287791.7222884.210041e-09
0.5295211.722214.215950e-09
0.5302651.7221324.221867e-09
0.5310091.7220554.227793e-09
0.5317541.7219774.233727e-09
0.5325011.72194.239669e-09
0.5332481.7218234.245620e-09
0.5339961.7217474.251579e-09
0.5347461.721674.257546e-09
0.5354961.7215944.263522e-09
0.5362481.7215184.269506e-09
0.5370011.7214424.275499e-09
0.5377541.7213674.281500e-09
0.5385091.7212924.287509e-09
0.5392651.7212164.293527e-09
0.5400221.7211414.299553e-09
0.540781.7210674.305588e-09
0.5415391.7209924.311631e-09
0.5422991.7209184.317682e-09
0.543061.7208444.323743e-09
0.5438221.720774.329811e-09
0.5445851.7206974.335888e-09
0.545351.7206234.341974e-09
0.5461151.720554.348068e-09
0.5468821.7204774.354171e-09
0.5476491.7204044.360282e-09
0.5484181.7203314.366402e-09
0.5491871.7202594.372531e-09
0.5499581.7201874.378668e-09
0.551.7201834.379000e-09
0.550731.7201154.384812e-09
0.5515031.7200434.390965e-09
0.5522771.7199714.397126e-09
0.5530521.71994.403297e-09
0.5538291.7198294.409475e-09
0.5546061.7197584.415663e-09
0.5553841.7196874.421859e-09
0.5561641.7196164.428064e-09
0.5569441.7195464.434277e-09
0.5577261.7194764.440499e-09
0.5585091.7194064.446730e-09
0.5592931.7193364.452970e-09
0.5600781.7192664.459219e-09
0.5608641.7191974.465476e-09
0.5616511.7191284.471742e-09
0.5624391.7190594.478017e-09
0.5632291.718994.484300e-09
0.5640191.7189214.490593e-09
0.5648111.7188534.496894e-09
0.5656041.7187844.503204e-09
0.5663971.7187164.509523e-09
0.5671921.7186484.515851e-09
0.5679881.7185814.522188e-09
0.5687861.7185134.528533e-09
0.5695841.7184464.534888e-09
0.5703831.7183794.541251e-09
0.5711841.7183124.547624e-09
0.5719861.7182454.554005e-09
0.5727881.7181784.560395e-09
0.5735921.7181124.566795e-09
0.5743971.7180464.573203e-09
0.5752041.717984.579620e-09
0.5760111.7179144.586046e-09
0.5768191.7178484.592481e-09
0.5776291.7177824.598926e-09
0.578441.7177174.605379e-09
0.5792511.7176524.611841e-09
0.5800641.7175874.618313e-09
0.5808791.7175224.624793e-09
0.5816941.7174574.631283e-09
0.582511.7173934.637782e-09
0.5833281.7173294.644290e-09
0.5841471.7172654.650807e-09
0.5849661.7172014.657333e-09
0.5857871.7171374.663868e-09
0.586611.7170734.670413e-09
0.5874331.717014.676966e-09
0.5882571.7169474.683529e-09
0.5890831.7168844.690101e-09
0.589911.7168214.696682e-09
0.5907381.7167584.703273e-09
0.5915671.7166964.709873e-09
0.5923971.7166334.716482e-09
0.5932291.7165714.723100e-09
0.5940611.7165094.729728e-09
0.5948951.7164474.736365e-09
0.595731.7163854.743011e-09
0.5965661.7163244.749666e-09
0.5974031.7162634.756331e-09
0.5982421.7162014.763006e-09
0.5990821.716144.769689e-09
0.5999221.7160794.776382e-09
0.61.7160744.777000e-09
0.6007641.7160194.783086e-09
0.6016081.7159584.789800e-09
0.6024521.7158984.796523e-09
0.6032981.7158384.803255e-09
0.6041441.7157784.809997e-09
0.6049921.7157184.816748e-09
0.6058411.7156584.823509e-09
0.6066921.7155994.830279e-09
0.6075431.7155394.837059e-09
0.6083961.715484.843848e-09
0.609251.7154214.850647e-09
0.6101051.7153624.857455e-09
0.6109611.7153034.864273e-09
0.6118191.7152454.871100e-09
0.6126771.7151864.877937e-09
0.6135371.7151284.884784e-09
0.6143981.715074.891640e-09
0.6152611.7150124.898506e-09
0.6161241.7149544.905381e-09
0.6169891.7148974.912266e-09
0.6178551.7148394.919161e-09
0.6187221.7147824.926066e-09
0.6195911.7147254.932980e-09
0.620461.7146684.939904e-09
0.6213311.7146114.946837e-09
0.6222031.7145544.953781e-09
0.6230761.7144984.960734e-09
0.6239511.7144414.967697e-09
0.6248271.7143854.974669e-09
0.6257041.7143294.981652e-09
0.6265821.7142734.988644e-09
0.6274611.7142184.995646e-09
0.6283421.7141625.002658e-09
0.6292241.7141065.009679e-09
0.6301071.7140515.016711e-09
0.6309911.7139965.023752e-09
0.6318771.7139415.030803e-09
0.6327641.7138865.037865e-09
0.6336521.7138325.044936e-09
0.6345411.7137775.052017e-09
0.6354321.7137235.059108e-09
0.6363241.7136695.066208e-09
0.6372171.7136145.073319e-09
0.6381111.7135615.080440e-09
0.6390071.7135075.087571e-09
0.6399041.7134535.094712e-09
0.6408021.71345.101863e-09
0.6417011.7133465.109024e-09
0.6426021.7132935.116194e-09
0.6435041.713245.123375e-09
0.6444071.7131875.130567e-09
0.6453111.7131355.137768e-09
0.6462171.7130825.144979e-09
0.6471241.713035.152200e-09
0.6480321.7129775.159432e-09
0.6489421.7129255.166674e-09
0.6498521.7128735.173926e-09
0.651.7128655.175100e-09
0.6507651.7128215.181188e-09
0.6516781.712775.188460e-09
0.6525931.7127185.195742e-09
0.6535091.7126675.203035e-09
0.6544261.7126155.210338e-09
0.6553441.7125645.217651e-09
0.6562641.7125135.224974e-09
0.6571851.7124635.232308e-09
0.6581081.7124125.239652e-09
0.6590311.7123615.247006e-09
0.6599561.7123115.254371e-09
0.6608821.7122615.261746e-09
0.661811.7122115.269131e-09
0.6627391.7121615.276527e-09
0.6636691.7121115.283933e-09
0.6646011.7120615.291349e-09
0.6655331.7120125.298776e-09
0.6664671.7119625.306213e-09
0.6674031.7119135.313661e-09
0.668341.7118645.321119e-09
0.6692781.7118155.328588e-09
0.6702171.7117665.336067e-09
0.6711581.7117185.343557e-09
0.67211.7116695.351057e-09
0.6730431.7116215.358567e-09
0.6739881.7115725.366089e-09
0.6749331.7115245.373620e-09
0.6758811.7114765.381163e-09
0.6768291.7114295.388716e-09
0.6777791.7113815.396279e-09
0.6787311.7113335.403853e-09
0.6796831.7112865.411438e-09
0.6806371.7112395.419033e-09
0.6815921.7111925.426639e-09
0.6825491.7111455.434256e-09
0.6835071.7110985.441884e-09
0.6844661.7110515.449522e-09
0.6854271.7110045.457171e-09
0.6863891.7109585.464830e-09
0.6873521.7109125.472500e-09
0.6883171.7108665.480182e-09
0.6892831.710825.487873e-09
0.6902511.7107745.495576e-09
0.6912191.7107285.503290e-09
0.692191.7106825.511014e-09
0.6931611.7106375.518749e-09
0.6941341.7105925.526495e-09
0.6951081.7105465.534252e-09
0.6960841.7105015.542020e-09
0.6970611.7104565.549798e-09
0.6980391.7104125.557588e-09
0.6990191.7103675.565389e-09
0.71.7103225.573200e-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
—