Optical constants

Refractive index of P-LAF010S (HIKARI)

P-LAF010S: 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
1.743
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.03804
Permittivity ε2
1.63085e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
49.278
Chromatic dispersion dn/dλ
-0.0774928 µm⁻¹
Group index ng
1.78853
Group velocity dispersion
140.661 fs²/mm
Dispersion parameter D
-767.382 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

# P-LAF010S (HIKARI): P-LAF010S
hikari_p_laf010s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "P-LAF010S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_p_laf010s.range_nm)  # (400, 700) nm
eps = hikari_p_laf010s.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=2.97145551−0.0123084336⁢λ2.0+0.0229406443⁢λ−2.0+0.000555750122⁢λ−4.0−1.48240363×10-5⁢λ−6.0+1.43842628×10-6⁢λ−8.0−0.00011444912⁢λ4.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.97145551
C2-0.0123084336
C32.0
C40.0229406443
C5-2.0
C60.000555750122
C7-4.0
C8-1.48240363e-05
C9-6.0
C101.43842628e-06
C11-8.0
C12-0.00011444912
C134.0

Comments and conditions

Low Tg glass

Conditions

temperature
296 K

Properties

nd
1.742999
Vd
49.277592
glass status
preferred
density
value: 4290
thermal expansion
value: 7.2e-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
P-LAF010S (HIKARI), P-LAF010S: n and k versus wavelength
λ (µm)nk
0.41.770079.563600e-09
0.4005611.7699229.389009e-09
0.4011241.7697759.214174e-09
0.4016871.7696289.039092e-09
0.402251.7694828.863766e-09
0.4028151.7693368.688193e-09
0.403381.7691918.512373e-09
0.4039461.7690468.336307e-09
0.4045131.7689028.159994e-09
0.4050811.7687587.983433e-09
0.405651.7686157.806625e-09
0.4062191.7684727.629568e-09
0.4067891.768337.452263e-09
0.407361.7681887.274709e-09
0.4079321.7680477.096906e-09
0.4085041.7679066.918853e-09
0.4090781.7677666.740550e-09
0.4096521.7676266.561997e-09
0.4102271.7674866.383194e-09
0.4108031.7673476.204139e-09
0.4113791.7672096.024833e-09
0.4119571.767075.845276e-09
0.4125351.7669335.665467e-09
0.4131141.7667965.485405e-09
0.4136941.7666595.305090e-09
0.4142741.7665235.124523e-09
0.4148561.7663874.943701e-09
0.4154381.7662514.762627e-09
0.4160211.7661164.581298e-09
0.4166051.7659824.399714e-09
0.417191.7658484.217876e-09
0.4177751.7657144.035782e-09
0.4183621.7655813.853433e-09
0.4189491.7654483.670828e-09
0.4195371.7653163.487967e-09
0.421.7652123.343900e-09
0.4201261.7651843.344900e-09
0.4207151.7650533.349597e-09
0.4213061.7649223.354300e-09
0.4218971.7647913.359010e-09
0.4224891.7646613.363726e-09
0.4230821.7645323.368449e-09
0.4236761.7644023.373179e-09
0.4242711.7642733.377915e-09
0.4248661.7641453.382658e-09
0.4254621.7640173.387408e-09
0.426061.7638893.392164e-09
0.4266581.7637623.396927e-09
0.4272561.7636353.401697e-09
0.4278561.7635093.406473e-09
0.4284571.7633833.411256e-09
0.4290581.7632583.416046e-09
0.429661.7631323.420843e-09
0.4302631.7630083.425646e-09
0.4308671.7628833.430456e-09
0.4314721.7627593.435272e-09
0.4320771.7626363.440096e-09
0.4326841.7625133.444926e-09
0.4332911.762393.449763e-09
0.4338991.7622683.454607e-09
0.4345081.7621463.459458e-09
0.4351181.7620243.464315e-09
0.4357291.7619033.469179e-09
0.436341.7617823.474050e-09
0.4369531.7616623.478928e-09
0.4375661.7615423.483813e-09
0.438181.7614223.488705e-09
0.4387951.7613033.493603e-09
0.4394111.7611843.498508e-09
0.441.7610713.503200e-09
0.4400281.7610663.503420e-09
0.4406451.7609483.508336e-09
0.4412641.760833.513259e-09
0.4418831.7607133.518189e-09
0.4425031.7605963.523126e-09
0.4431241.7604793.528070e-09
0.4437461.7603633.533020e-09
0.4443691.7602473.537978e-09
0.4449931.7601323.542942e-09
0.4456171.7600173.547914e-09
0.4462431.7599023.552892e-09
0.4468691.7597883.557878e-09
0.4474961.7596743.562870e-09
0.4481241.759563.567870e-09
0.4487531.7594473.572876e-09
0.4493831.7593343.577890e-09
0.4500141.7592213.582910e-09
0.4506451.7591093.587938e-09
0.4512781.7589973.592973e-09
0.4519111.7588863.598014e-09
0.4525461.7587753.603063e-09
0.4531811.7586643.608119e-09
0.4538171.7585533.613182e-09
0.4544541.7584433.618252e-09
0.4550921.7583343.623329e-09
0.455731.7582243.628414e-09
0.456371.7581153.633505e-09
0.4570111.7580073.638604e-09
0.4576521.7578983.643709e-09
0.4582941.757793.648822e-09
0.4589381.7576823.653943e-09
0.4595821.7575753.659070e-09
0.461.7575063.662400e-09
0.4602271.7574683.664204e-09
0.4608731.7573613.669346e-09
0.4615191.7572553.674495e-09
0.4621671.7571493.679651e-09
0.4628161.7570433.684814e-09
0.4634651.7569383.689985e-09
0.4641161.7568333.695163e-09
0.4647671.7567283.700348e-09
0.465421.7566243.705541e-09
0.4660731.756523.710740e-09
0.4667271.7564163.715947e-09
0.4673821.7563133.721162e-09
0.4680381.756213.726383e-09
0.4686951.7561073.731612e-09
0.4693531.7560053.736848e-09
0.4700121.7559023.742092e-09
0.4706711.7558013.747343e-09
0.4713321.7556993.752602e-09
0.4719931.7555983.757867e-09
0.4726561.7554973.763140e-09
0.4733191.7553973.768421e-09
0.4739841.7552963.773709e-09
0.4746491.7551963.779004e-09
0.4753151.7550973.784307e-09
0.4759821.7549983.789617e-09
0.476651.7548993.794935e-09
0.4773191.75483.800260e-09
0.4779891.7547013.805593e-09
0.478661.7546033.810933e-09
0.4793321.7545063.816281e-09
0.481.7544093.821600e-09
0.4800051.7544083.821636e-09
0.4806781.7543113.827002e-09
0.4813531.7542143.832376e-09
0.4820281.7541173.837757e-09
0.4827051.7540213.843145e-09
0.4833821.7539253.848541e-09
0.4840611.7538293.853945e-09
0.484741.7537343.859357e-09
0.4854211.7536393.864776e-09
0.4861021.7535443.870202e-09
0.4867841.7534493.875636e-09
0.4874671.7533553.881078e-09
0.4881521.7532613.886528e-09
0.4888371.7531683.891985e-09
0.4895231.7530743.897450e-09
0.490211.7529813.902922e-09
0.4908981.7528883.908402e-09
0.4915871.7527963.913890e-09
0.4922771.7527033.919385e-09
0.4929681.7526113.924889e-09
0.493661.752523.930400e-09
0.4943531.7524283.935918e-09
0.4950461.7523373.941445e-09
0.4957411.7522463.946979e-09
0.4964371.7521563.952521e-09
0.4971341.7520653.958071e-09
0.4978321.7519753.963628e-09
0.498531.7518853.969193e-09
0.499231.7517963.974766e-09
0.4999311.7517073.980347e-09
0.51.7516983.980900e-09
0.5006321.7516183.985934e-09
0.5013351.7515293.991529e-09
0.5020391.7514413.997131e-09
0.5027431.7513524.002741e-09
0.5034491.7512644.008360e-09
0.5041551.7511774.013986e-09
0.5048631.7510894.019619e-09
0.5055721.7510024.025261e-09
0.5062811.7509154.030911e-09
0.5069921.7508294.036569e-09
0.5077031.7507424.042234e-09
0.5084161.7506564.047908e-09
0.509131.7505714.053589e-09
0.5098441.7504854.059279e-09
0.510561.75044.064976e-09
0.5112761.7503154.070682e-09
0.5119941.750234.076395e-09
0.5127121.7501454.082117e-09
0.5134321.7500614.087846e-09
0.5141531.7499774.093584e-09
0.5148741.7498934.099329e-09
0.5155971.7498094.105083e-09
0.5163211.7497264.110845e-09
0.5170451.7496434.116614e-09
0.5177711.749564.122392e-09
0.5184981.7494784.128178e-09
0.5192251.7493954.133973e-09
0.5199541.7493134.139775e-09
0.5206841.7492314.145585e-09
0.5214151.749154.151404e-09
0.5221471.7490684.157231e-09
0.5228791.7489874.163066e-09
0.5236131.7489064.168909e-09
0.5243481.7488264.174760e-09
0.5250841.7487454.180620e-09
0.5258211.7486654.186487e-09
0.5265591.7485854.192363e-09
0.5272981.7485064.198248e-09
0.5280381.7484264.204140e-09
0.5287791.7483474.210041e-09
0.5295211.7482684.215950e-09
0.5302651.7481894.221867e-09
0.5310091.7481114.227793e-09
0.5317541.7480324.233727e-09
0.5325011.7479544.239669e-09
0.5332481.7478764.245620e-09
0.5339961.7477994.251579e-09
0.5347461.7477214.257546e-09
0.5354961.7476444.263522e-09
0.5362481.7475674.269506e-09
0.5370011.747494.275499e-09
0.5377541.7474144.281500e-09
0.5385091.7473384.287509e-09
0.5392651.7472614.293527e-09
0.5400221.7471864.299553e-09
0.540781.747114.305588e-09
0.5415391.7470354.311631e-09
0.5422991.7469594.317682e-09
0.543061.7468844.323743e-09
0.5438221.746814.329811e-09
0.5445851.7467354.335888e-09
0.545351.7466614.341974e-09
0.5461151.7465874.348068e-09
0.5468821.7465134.354171e-09
0.5476491.7464394.360282e-09
0.5484181.7463664.366402e-09
0.5491871.7462924.372531e-09
0.5499581.7462194.378668e-09
0.551.7462154.379000e-09
0.550731.7461464.384812e-09
0.5515031.7460744.390965e-09
0.5522771.7460014.397126e-09
0.5530521.7459294.403297e-09
0.5538291.7458574.409475e-09
0.5546061.7457854.415663e-09
0.5553841.7457144.421859e-09
0.5561641.7456424.428064e-09
0.5569441.7455714.434277e-09
0.5577261.74554.440499e-09
0.5585091.7454294.446730e-09
0.5592931.7453594.452970e-09
0.5600781.7452884.459219e-09
0.5608641.7452184.465476e-09
0.5616511.7451484.471742e-09
0.5624391.7450784.478017e-09
0.5632291.7450094.484300e-09
0.5640191.7449394.490593e-09
0.5648111.744874.496894e-09
0.5656041.7448014.503204e-09
0.5663971.7447324.509523e-09
0.5671921.7446644.515851e-09
0.5679881.7445954.522188e-09
0.5687861.7445274.528533e-09
0.5695841.7444594.534888e-09
0.5703831.7443914.541251e-09
0.5711841.7443244.547624e-09
0.5719861.7442564.554005e-09
0.5727881.7441894.560395e-09
0.5735921.7441224.566795e-09
0.5743971.7440554.573203e-09
0.5752041.7439884.579620e-09
0.5760111.7439224.586046e-09
0.5768191.7438554.592481e-09
0.5776291.7437894.598926e-09
0.578441.7437234.605379e-09
0.5792511.7436574.611841e-09
0.5800641.7435924.618313e-09
0.5808791.7435264.624793e-09
0.5816941.7434614.631283e-09
0.582511.7433964.637782e-09
0.5833281.7433314.644290e-09
0.5841471.7432664.650807e-09
0.5849661.7432024.657333e-09
0.5857871.7431384.663868e-09
0.586611.7430734.670413e-09
0.5874331.7430094.676966e-09
0.5882571.7429464.683529e-09
0.5890831.7428824.690101e-09
0.589911.7428194.696682e-09
0.5907381.7427554.703273e-09
0.5915671.7426924.709873e-09
0.5923971.7426294.716482e-09
0.5932291.7425664.723100e-09
0.5940611.7425044.729728e-09
0.5948951.7424414.736365e-09
0.595731.7423794.743011e-09
0.5965661.7423174.749666e-09
0.5974031.7422554.756331e-09
0.5982421.7421934.763006e-09
0.5990821.7421324.769689e-09
0.5999221.742074.776382e-09
0.61.7420654.777000e-09
0.6007641.7420094.862276e-09
0.6016081.7419484.956342e-09
0.6024521.7418875.050541e-09
0.6032981.7418265.144871e-09
0.6041441.7417665.239334e-09
0.6049921.7417055.333930e-09
0.6058411.7416455.428658e-09
0.6066921.7415855.523520e-09
0.6075431.7415255.618514e-09
0.6083961.7414655.713642e-09
0.609251.7414065.808903e-09
0.6101051.7413465.904298e-09
0.6109611.7412875.999827e-09
0.6118191.7412286.095490e-09
0.6126771.7411696.191287e-09
0.6135371.741116.287219e-09
0.6143981.7410526.383285e-09
0.6152611.7409936.479486e-09
0.6161241.7409356.575822e-09
0.6169891.7408776.672294e-09
0.6178551.7408196.768901e-09
0.6187221.7407616.865643e-09
0.6195911.7407036.962521e-09
0.620461.7406457.059535e-09
0.6213311.7405887.156686e-09
0.6222031.7405317.253972e-09
0.6230761.7404747.351395e-09
0.6239511.7404177.448955e-09
0.6248271.740367.546652e-09
0.6257041.7403037.644486e-09
0.6265821.7402477.742457e-09
0.6274611.740197.840566e-09
0.6283421.7401347.938813e-09
0.6292241.7400788.037197e-09
0.6301071.7400228.135719e-09
0.6309911.7399668.234380e-09
0.6318771.7399118.333179e-09
0.6327641.7398558.432117e-09
0.6336521.73988.531194e-09
0.6345411.7397458.630410e-09
0.6354321.739698.729765e-09
0.6363241.7396358.829259e-09
0.6372171.739588.928893e-09
0.6381111.7395259.028667e-09
0.6390071.7394719.128581e-09
0.6399041.7394179.228636e-09
0.6408021.7393629.328830e-09
0.6417011.7393089.429166e-09
0.6426021.7392559.529642e-09
0.6435041.7392019.630259e-09
0.6444071.7391479.731017e-09
0.6453111.7390949.831917e-09
0.6462171.739049.932959e-09
0.6471241.7389871.003414e-08
0.6480321.7389341.013547e-08
0.6489421.7388811.023693e-08
0.6498521.7388281.033854e-08
0.651.738821.035500e-08
0.6507651.7387761.045258e-08
0.6516781.7387231.056914e-08
0.6525931.7386711.068587e-08
0.6535091.7386181.080276e-08
0.6544261.7385661.091981e-08
0.6553441.7385141.103703e-08
0.6562641.7384621.115442e-08
0.6571851.7384111.127197e-08
0.6581081.7383591.138968e-08
0.6590311.7383081.150756e-08
0.6599561.7382561.162561e-08
0.6608821.7382051.174382e-08
0.661811.7381541.186219e-08
0.6627391.7381031.198073e-08
0.6636691.7380521.209944e-08
0.6646011.7380011.221832e-08
0.6655331.7379511.233736e-08
0.6664671.73791.245657e-08
0.6674031.737851.257595e-08
0.668341.73781.269549e-08
0.6692781.737751.281520e-08
0.6702171.73771.293508e-08
0.6711581.737651.305513e-08
0.67211.73761.317535e-08
0.6730431.7375511.329573e-08
0.6739881.7375011.341629e-08
0.6749331.7374521.353701e-08
0.6758811.7374031.365790e-08
0.6768291.7373541.377897e-08
0.6777791.7373051.390020e-08
0.6787311.7372561.402160e-08
0.6796831.7372071.414318e-08
0.6806371.7371591.426492e-08
0.6815921.737111.438683e-08
0.6825491.7370621.450892e-08
0.6835071.7370131.463118e-08
0.6844661.7369651.475361e-08
0.6854271.7369171.487621e-08
0.6863891.7368691.499898e-08
0.6873521.7368221.512192e-08
0.6883171.7367741.524504e-08
0.6892831.7367261.536833e-08
0.6902511.7366791.549180e-08
0.6912191.7366321.561543e-08
0.692191.7365841.573924e-08
0.6931611.7365371.586323e-08
0.6941341.736491.598738e-08
0.6951081.7364441.611172e-08
0.6960841.7363971.623622e-08
0.6970611.736351.636090e-08
0.6980391.7363041.648576e-08
0.6990191.7362571.661079e-08
0.71.7362111.673600e-08

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
—