Optical constants

Refractive index of P-LASF03S (HIKARI)

P-LASF03S: 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
1.80604
Extinction coefficient k
3.28468e-08
Permittivity ε1
3.26177
Permittivity ε2
1.18645e-07
Absorption coefficient α
0.0070246 cm⁻¹
Penetration depth δ = λ/(2πk)
2.84714e+09 nm
Abbe number Vd
40.774
Chromatic dispersion dn/dλ
-0.100868 µm⁻¹
Group index ng
1.86531
Group velocity dispersion
190.662 fs²/mm
Dispersion parameter D
-1040.16 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-LASF03S (HIKARI): P-LASF03S
hikari_p_lasf03s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "P-LASF03S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_p_lasf03s.range_nm)  # (400, 700) nm
eps = hikari_p_lasf03s.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=3.17068141−0.0126020903⁢λ2.0+0.030537023⁢λ−2.0+0.000826049797⁢λ−4.0−4.87613819×10-6⁢λ−6.0+2.63470792×10-6⁢λ−8.0−2.27507217×10-5⁢λ4.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C13.17068141
C2-0.0126020903
C32.0
C40.030537023
C5-2.0
C60.000826049797
C7-4.0
C8-4.87613819e-06
C9-6.0
C102.63470792e-06
C11-8.0
C12-2.27507217e-05
C134.0

Comments and conditions

Low Tg glass

Conditions

temperature
296 K

Properties

nd
1.806040
Vd
40.774175
glass status
preferred
density
value: 4470
thermal expansion
value: 6.9e-06, temperature range: 243 343
dPgF
-0.0063

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-LASF03S (HIKARI), P-LASF03S: n and k versus wavelength
λ (µm)nk
0.41.8424491.299400e-07
0.4005611.8422441.286678e-07
0.4011241.842041.273938e-07
0.4016871.8418361.261181e-07
0.402251.8416331.248405e-07
0.4028151.8414311.235612e-07
0.403381.841231.222800e-07
0.4039461.8410291.209971e-07
0.4045131.840831.197124e-07
0.4050811.840631.184258e-07
0.405651.8404321.171375e-07
0.4062191.8402351.158473e-07
0.4067891.8400381.145553e-07
0.407361.8398421.132616e-07
0.4079321.8396461.119660e-07
0.4085041.8394511.106686e-07
0.4090781.8392581.093693e-07
0.4096521.8390641.080683e-07
0.4102271.8388721.067654e-07
0.4108031.838681.054607e-07
0.4113791.8384891.041541e-07
0.4119571.8382981.028457e-07
0.4125351.8381091.015355e-07
0.4131141.8379191.002235e-07
0.4136941.8377319.890958e-08
0.4142741.8375439.759384e-08
0.4148561.8373569.627625e-08
0.4154381.837179.495681e-08
0.4160211.8369849.363553e-08
0.4166051.83689.231239e-08
0.417191.8366159.098739e-08
0.4177751.8364328.966053e-08
0.4183621.8362498.833181e-08
0.4189491.8360668.700122e-08
0.4195371.8358858.566877e-08
0.421.8357428.461900e-08
0.4201261.8357048.450942e-08
0.4207151.8355238.399489e-08
0.4213061.8353448.347963e-08
0.4218971.8351658.296365e-08
0.4224891.8349868.244694e-08
0.4230821.8348088.192951e-08
0.4236761.8346318.141135e-08
0.4242711.8344558.089247e-08
0.4248661.8342798.037286e-08
0.4254621.8341047.985251e-08
0.426061.8339297.933144e-08
0.4266581.8337557.880964e-08
0.4272561.8335827.828710e-08
0.4278561.8334097.776383e-08
0.4284571.8332377.723983e-08
0.4290581.8330657.671509e-08
0.429661.8328947.618961e-08
0.4302631.8327247.566340e-08
0.4308671.8325547.513645e-08
0.4314721.8323857.460876e-08
0.4320771.8322177.408033e-08
0.4326841.8320497.355115e-08
0.4332911.8318817.302123e-08
0.4338991.8317157.249057e-08
0.4345081.8315497.195917e-08
0.4351181.8313837.142702e-08
0.4357291.8312187.089412e-08
0.436341.8310547.036048e-08
0.4369531.830896.982608e-08
0.4375661.8307276.929094e-08
0.438181.8305646.875504e-08
0.4387951.8304026.821839e-08
0.4394111.830246.768099e-08
0.441.8300866.716700e-08
0.4400281.8300796.715060e-08
0.4406451.8299196.678489e-08
0.4412641.8297596.641867e-08
0.4418831.8295996.605194e-08
0.4425031.8294416.568469e-08
0.4431241.8292836.531693e-08
0.4437461.8291256.494865e-08
0.4443691.8289686.457985e-08
0.4449931.8288116.421053e-08
0.4456171.8286556.384070e-08
0.4462431.82856.347035e-08
0.4468691.8283456.309947e-08
0.4474961.828196.272808e-08
0.4481241.8280366.235617e-08
0.4487531.8278836.198373e-08
0.4493831.827736.161077e-08
0.4500141.8275786.123729e-08
0.4506451.8274266.086328e-08
0.4512781.8272756.048875e-08
0.4519111.8271246.011369e-08
0.4525461.8269745.973811e-08
0.4531811.8268245.936200e-08
0.4538171.8266755.898536e-08
0.4544541.8265265.860819e-08
0.4550921.8263785.823050e-08
0.455731.826235.785227e-08
0.456371.8260835.747351e-08
0.4570111.8259365.709422e-08
0.4576521.825795.671440e-08
0.4582941.8256445.633405e-08
0.4589381.8254995.595316e-08
0.4595821.8253555.557174e-08
0.461.8252615.532400e-08
0.4602271.825215.521962e-08
0.4608731.8250675.492216e-08
0.4615191.8249235.462429e-08
0.4621671.8247815.432600e-08
0.4628161.8246385.402729e-08
0.4634651.8244965.372816e-08
0.4641161.8243555.342861e-08
0.4647671.8242145.312864e-08
0.465421.8240745.282825e-08
0.4660731.8239345.252743e-08
0.4667271.8237955.222620e-08
0.4673821.8236565.192454e-08
0.4680381.8235175.162246e-08
0.4686951.8233795.131995e-08
0.4693531.8232415.101703e-08
0.4700121.8231045.071367e-08
0.4706711.8229685.040989e-08
0.4713321.8228315.010568e-08
0.4719931.8226964.980105e-08
0.4726561.822564.949599e-08
0.4733191.8224264.919050e-08
0.4739841.8222914.888458e-08
0.4746491.8221574.857823e-08
0.4753151.8220244.827146e-08
0.4759821.8218914.796425e-08
0.476651.8217584.765661e-08
0.4773191.8216264.734854e-08
0.4779891.8214944.704003e-08
0.478661.8213634.673110e-08
0.4793321.8212324.642173e-08
0.481.8211024.611400e-08
0.4800051.8211014.611262e-08
0.4806781.8209714.590630e-08
0.4813531.8208424.569969e-08
0.4820281.8207134.549279e-08
0.4827051.8205844.528560e-08
0.4833821.8204554.507811e-08
0.4840611.8203284.487034e-08
0.484741.82024.466228e-08
0.4854211.8200734.445392e-08
0.4861021.8199464.424527e-08
0.4867841.819824.403633e-08
0.4874671.8196944.382709e-08
0.4881521.8195694.361757e-08
0.4888371.8194444.340774e-08
0.4895231.8193194.319763e-08
0.490211.8191954.298721e-08
0.4908981.8190714.277651e-08
0.4915871.8189484.256550e-08
0.4922771.8188254.235420e-08
0.4929681.8187024.214261e-08
0.493661.818584.193072e-08
0.4943531.8184584.171853e-08
0.4950461.8183374.150604e-08
0.4957411.8182164.129325e-08
0.4964371.8180954.108017e-08
0.4971341.8179754.086678e-08
0.4978321.8178554.065310e-08
0.498531.8177364.043911e-08
0.499231.8176174.022483e-08
0.4999311.8174984.001025e-08
0.51.8174863.998900e-08
0.5006321.817383.987210e-08
0.5013351.8172623.974220e-08
0.5020391.8171443.961211e-08
0.5027431.8170273.948184e-08
0.5034491.816913.935138e-08
0.5041551.8167943.922074e-08
0.5048631.8166783.908992e-08
0.5055721.8165623.895892e-08
0.5062811.8164473.882773e-08
0.5069921.8163323.869636e-08
0.5077031.8162173.856480e-08
0.5084161.8161033.843306e-08
0.509131.8159893.830114e-08
0.5098441.8158763.816902e-08
0.510561.8157633.803673e-08
0.5112761.815653.790425e-08
0.5119941.8155383.777158e-08
0.5127121.8154263.763872e-08
0.5134321.8153143.750568e-08
0.5141531.8152033.737245e-08
0.5148741.8150923.723904e-08
0.5155971.8149813.710544e-08
0.5163211.8148713.697165e-08
0.5170451.8147613.683767e-08
0.5177711.8146513.670351e-08
0.5184981.8145423.656915e-08
0.5192251.8144333.643461e-08
0.5199541.8143253.629988e-08
0.5206841.8142163.616496e-08
0.5214151.8141083.602985e-08
0.5221471.8140013.589455e-08
0.5228791.8138943.575906e-08
0.5236131.8137873.562338e-08
0.5243481.813683.548751e-08
0.5250841.8135743.535145e-08
0.5258211.8134683.521520e-08
0.5265591.8133633.507876e-08
0.5272981.8132583.494212e-08
0.5280381.8131533.480530e-08
0.5287791.8130483.466828e-08
0.5295211.8129443.453107e-08
0.5302651.812843.439367e-08
0.5310091.8127373.425607e-08
0.5317541.8126333.411828e-08
0.5325011.812533.398030e-08
0.5332481.8124283.384213e-08
0.5339961.8123253.370376e-08
0.5347461.8122233.356519e-08
0.5354961.8121223.342643e-08
0.5362481.812023.328748e-08
0.5370011.8119193.314833e-08
0.5377541.8118193.300899e-08
0.5385091.8117183.286945e-08
0.5392651.8116183.272972e-08
0.5400221.8115183.258978e-08
0.540781.8114193.244966e-08
0.5415391.811323.230933e-08
0.5422991.8112213.216881e-08
0.543061.8111223.202809e-08
0.5438221.8110243.188718e-08
0.5445851.8109263.174607e-08
0.545351.8108283.160475e-08
0.5461151.8107313.146324e-08
0.5468821.8106343.132154e-08
0.5476491.8105373.117963e-08
0.5484181.8104413.103752e-08
0.5491871.8103453.089522e-08
0.5499581.8102493.075271e-08
0.551.8102443.074500e-08
0.550731.8101533.078582e-08
0.5515031.8100583.082903e-08
0.5522771.8099633.087230e-08
0.5530521.8098683.091563e-08
0.5538291.8097743.095902e-08
0.5546061.809683.100247e-08
0.5553841.8095863.104598e-08
0.5561641.8094923.108956e-08
0.5569441.8093993.113319e-08
0.5577261.8093063.117689e-08
0.5585091.8092133.122064e-08
0.5592931.8091213.126446e-08
0.5600781.8090283.130834e-08
0.5608641.8089363.135229e-08
0.5616511.8088453.139629e-08
0.5624391.8087543.144036e-08
0.5632291.8086623.148448e-08
0.5640191.8085723.152867e-08
0.5648111.8084813.157292e-08
0.5656041.8083913.161724e-08
0.5663971.8083013.166161e-08
0.5671921.8082113.170605e-08
0.5679881.8081223.175055e-08
0.5687861.8080333.179511e-08
0.5695841.8079443.183974e-08
0.5703831.8078553.188443e-08
0.5711841.8077673.192918e-08
0.5719861.8076793.197399e-08
0.5727881.8075913.201887e-08
0.5735921.8075033.206381e-08
0.5743971.8074163.210881e-08
0.5752041.8073293.215388e-08
0.5760111.8072423.219901e-08
0.5768191.8071553.224420e-08
0.5776291.8070693.228945e-08
0.578441.8069833.233477e-08
0.5792511.8068973.238016e-08
0.5800641.8068123.242560e-08
0.5808791.8067263.247111e-08
0.5816941.8066413.251669e-08
0.582511.8065563.256232e-08
0.5833281.8064723.260803e-08
0.5841471.8063883.265379e-08
0.5849661.8063043.269962e-08
0.5857871.806223.274552e-08
0.586611.8061363.279148e-08
0.5874331.8060533.283750e-08
0.5882571.805973.288359e-08
0.5890831.8058873.292974e-08
0.589911.8058053.297596e-08
0.5907381.8057223.302224e-08
0.5915671.805643.306859e-08
0.5923971.8055583.311500e-08
0.5932291.8054773.316148e-08
0.5940611.8053953.320803e-08
0.5948951.8053143.325463e-08
0.595731.8052333.330131e-08
0.5965661.8051533.334805e-08
0.5974031.8050723.339485e-08
0.5982421.8049923.344172e-08
0.5990821.8049123.348866e-08
0.5999221.8048323.353566e-08
0.61.8048253.354000e-08
0.6007641.8047533.342363e-08
0.6016081.8046733.329526e-08
0.6024521.8045943.316671e-08
0.6032981.8045163.303799e-08
0.6041441.8044373.290908e-08
0.6049921.8043593.277999e-08
0.6058411.8042813.265072e-08
0.6066921.8042033.252126e-08
0.6075431.8041253.239163e-08
0.6083961.8040473.226181e-08
0.609251.803973.213182e-08
0.6101051.8038933.200164e-08
0.6109611.8038163.187127e-08
0.6118191.803743.174073e-08
0.6126771.8036633.161000e-08
0.6135371.8035873.147908e-08
0.6143981.8035113.134799e-08
0.6152611.8034363.121671e-08
0.6161241.803363.108524e-08
0.6169891.8032853.095359e-08
0.6178551.803213.082176e-08
0.6187221.8031353.068974e-08
0.6195911.803063.055754e-08
0.620461.8029863.042515e-08
0.6213311.8029123.029257e-08
0.6222031.8028383.015981e-08
0.6230761.8027643.002686e-08
0.6239511.802692.989372e-08
0.6248271.8026172.976040e-08
0.6257041.8025442.962689e-08
0.6265821.8024712.949320e-08
0.6274611.8023982.935931e-08
0.6283421.8023252.922524e-08
0.6292241.8022532.909098e-08
0.6301071.8021812.895653e-08
0.6309911.8021092.882190e-08
0.6318771.8020372.868707e-08
0.6327641.8019652.855206e-08
0.6336521.8018942.841685e-08
0.6345411.8018232.828146e-08
0.6354321.8017522.814587e-08
0.6363241.8016812.801010e-08
0.6372171.8016112.787413e-08
0.6381111.801542.773798e-08
0.6390071.801472.760163e-08
0.6399041.80142.746509e-08
0.6408021.801332.732836e-08
0.6417011.8012612.719144e-08
0.6426021.8011912.705432e-08
0.6435041.8011222.691702e-08
0.6444071.8010532.677952e-08
0.6453111.8009842.664182e-08
0.6462171.8009162.650394e-08
0.6471241.8008472.636586e-08
0.6480321.8007792.622759e-08
0.6489421.8007112.608912e-08
0.6498521.8006432.595046e-08
0.651.8006322.592800e-08
0.6507651.8005752.587292e-08
0.6516781.8005082.580712e-08
0.6525931.800442.574123e-08
0.6535091.8003732.567525e-08
0.6544261.8003062.560917e-08
0.6553441.8002392.554300e-08
0.6562641.8001732.547674e-08
0.6571851.8001062.541038e-08
0.6581081.800042.534393e-08
0.6590311.7999742.527739e-08
0.6599561.7999082.521076e-08
0.6608821.7998432.514403e-08
0.661811.7997772.507721e-08
0.6627391.7997122.501029e-08
0.6636691.7996472.494328e-08
0.6646011.7995822.487618e-08
0.6655331.7995172.480898e-08
0.6664671.7994522.474169e-08
0.6674031.7993882.467430e-08
0.668341.7993232.460682e-08
0.6692781.7992592.453924e-08
0.6702171.7991952.447157e-08
0.6711581.7991312.440381e-08
0.67211.7990682.433595e-08
0.6730431.7990042.426799e-08
0.6739881.7989412.419994e-08
0.6749331.7988782.413179e-08
0.6758811.7988152.406355e-08
0.6768291.7987522.399521e-08
0.6777791.798692.392678e-08
0.6787311.7986272.385825e-08
0.6796831.7985652.378962e-08
0.6806371.7985032.372090e-08
0.6815921.7984412.365208e-08
0.6825491.7983792.358316e-08
0.6835071.7983172.351415e-08
0.6844661.7982562.344504e-08
0.6854271.7981952.337583e-08
0.6863891.7981342.330653e-08
0.6873521.7980732.323713e-08
0.6883171.7980122.316763e-08
0.6892831.7979512.309803e-08
0.6902511.7978912.302834e-08
0.6912191.797832.295855e-08
0.692191.797772.288866e-08
0.6931611.797712.281867e-08
0.6941341.797652.274858e-08
0.6951081.797592.267840e-08
0.6960841.7975312.260812e-08
0.6970611.7974712.253774e-08
0.6980391.7974122.246726e-08
0.6990191.7973532.239668e-08
0.71.7972942.232600e-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
—