Optical constants

Refractive index of P-FKHH2S (HIKARI)

P-FKHH2S: 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
1.45562
Extinction coefficient k
3.17544e-08
Permittivity ε1
2.11883
Permittivity ε2
9.24446e-08
Absorption coefficient α
0.00679097 cm⁻¹
Penetration depth δ = λ/(2πk)
2.94509e+09 nm
Abbe number Vd
91.249
Chromatic dispersion dn/dλ
-0.0258939 µm⁻¹
Group index ng
1.47083
Group velocity dispersion
44.3812 fs²/mm
Dispersion parameter D
-242.123 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-FKHH2S (HIKARI): P-FKHH2S
hikari_p_fk2s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "P-FK2S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_p_fk2s.range_nm)  # (400, 700) nm
eps = hikari_p_fk2s.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=2.10062741−0.0047428655⁢λ2.0+0.00658636025⁢λ−2.0+0.00010373696⁢λ−4.0−5.35155073×10-6⁢λ−6.0+2.98151037×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.10062741
C2-0.0047428655
C32.0
C40.00658636025
C5-2.0
C60.00010373696
C7-4.0
C8-5.35155073e-06
C9-6.0
C102.98151037e-07
C11-8.0

Comments and conditions

Low Tg glass

Conditions

temperature
296 K

Properties

nd
1.455620
Vd
91.248565
glass status
preferred
density
value: 3680
thermal expansion
value: 1.6e-05, temperature range: 243 343
dPgF
0.0437

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-FKHH2S (HIKARI), P-FKHH2S: n and k versus wavelength
λ (µm)nk
0.41.464324.165200e-08
0.4005611.4642744.142572e-08
0.4011241.4642294.119913e-08
0.4016871.4641834.097222e-08
0.402251.4641384.074498e-08
0.4028151.4640924.051743e-08
0.403381.4640474.028956e-08
0.4039461.4640024.006138e-08
0.4045131.4639573.983287e-08
0.4050811.4639133.960404e-08
0.405651.4638683.937488e-08
0.4062191.4638243.914541e-08
0.4067891.4637793.891562e-08
0.407361.4637353.868550e-08
0.4079321.4636913.845506e-08
0.4085041.4636473.822429e-08
0.4090781.4636033.799321e-08
0.4096521.463563.776179e-08
0.4102271.4635163.753006e-08
0.4108031.4634733.729799e-08
0.4113791.4634293.706561e-08
0.4119571.4633863.683289e-08
0.4125351.4633433.659985e-08
0.4131141.46333.636648e-08
0.4136941.4632573.613279e-08
0.4142741.4632153.589876e-08
0.4148561.4631723.566441e-08
0.4154381.463133.542973e-08
0.4160211.4630873.519472e-08
0.4166051.4630453.495938e-08
0.417191.4630033.472371e-08
0.4177751.4629613.448771e-08
0.4183621.462923.425138e-08
0.4189491.4628783.401471e-08
0.4195371.4628363.377772e-08
0.421.4628043.359100e-08
0.4201261.4627953.360104e-08
0.4207151.4627543.364818e-08
0.4213061.4627133.369539e-08
0.4218971.4626723.374267e-08
0.4224891.4626313.379001e-08
0.4230821.462593.383742e-08
0.4236761.4625493.388489e-08
0.4242711.4625093.393243e-08
0.4248661.4624683.398004e-08
0.4254621.4624283.402772e-08
0.426061.4623883.407546e-08
0.4266581.4623483.412327e-08
0.4272561.4623083.417115e-08
0.4278561.4622683.421909e-08
0.4284571.4622283.426710e-08
0.4290581.4621883.431518e-08
0.429661.4621493.436332e-08
0.4302631.462113.441154e-08
0.4308671.462073.445982e-08
0.4314721.4620313.450817e-08
0.4320771.4619923.455658e-08
0.4326841.4619533.460507e-08
0.4332911.4619143.465362e-08
0.4338991.4618763.470224e-08
0.4345081.4618373.475093e-08
0.4351181.4617993.479969e-08
0.4357291.461763.484851e-08
0.436341.4617223.489741e-08
0.4369531.4616843.494637e-08
0.4375661.4616463.499540e-08
0.438181.4616083.504450e-08
0.4387951.461573.509367e-08
0.4394111.4615323.514291e-08
0.441.4614973.519000e-08
0.4400281.4614953.518199e-08
0.4406451.4614573.500325e-08
0.4412641.461423.482427e-08
0.4418831.4613833.464504e-08
0.4425031.4613463.446555e-08
0.4431241.4613093.428582e-08
0.4437461.4612723.410583e-08
0.4443691.4612353.392559e-08
0.4449931.4611983.374509e-08
0.4456171.4611613.356435e-08
0.4462431.4611253.338334e-08
0.4468691.4610893.320209e-08
0.4474961.4610523.302058e-08
0.4481241.4610163.283881e-08
0.4487531.460983.265679e-08
0.4493831.4609443.247452e-08
0.4500141.4609083.229199e-08
0.4506451.4608723.210920e-08
0.4512781.4608373.192616e-08
0.4519111.4608013.174285e-08
0.4525461.4607663.155930e-08
0.4531811.460733.137548e-08
0.4538171.4606953.119141e-08
0.4544541.460663.100708e-08
0.4550921.4606253.082248e-08
0.455731.460593.063764e-08
0.456371.4605553.045253e-08
0.4570111.460523.026716e-08
0.4576521.4604863.008153e-08
0.4582941.4604512.989564e-08
0.4589381.4604172.970949e-08
0.4595821.4603822.952308e-08
0.461.460362.940200e-08
0.4602271.4603482.937287e-08
0.4608731.4603142.928987e-08
0.4615191.460282.920675e-08
0.4621671.4602462.912351e-08
0.4628161.4602122.904016e-08
0.4634651.4601782.895669e-08
0.4641161.4601442.887310e-08
0.4647671.4601112.878940e-08
0.465421.4600772.870557e-08
0.4660731.4600442.862163e-08
0.4667271.4600112.853758e-08
0.4673821.4599772.845340e-08
0.4680381.4599442.836911e-08
0.4686951.4599112.828469e-08
0.4693531.4598782.820016e-08
0.4700121.4598452.811551e-08
0.4706711.4598132.803074e-08
0.4713321.459782.794586e-08
0.4719931.4597472.786085e-08
0.4726561.4597152.777573e-08
0.4733191.4596832.769048e-08
0.4739841.459652.760512e-08
0.4746491.4596182.751963e-08
0.4753151.4595862.743403e-08
0.4759821.4595542.734830e-08
0.476651.4595222.726246e-08
0.4773191.459492.717649e-08
0.4779891.4594592.709040e-08
0.478661.4594272.700420e-08
0.4793321.4593952.691787e-08
0.481.4593642.683200e-08
0.4800051.4593642.683135e-08
0.4806781.4593332.673410e-08
0.4813531.4593012.663671e-08
0.4820281.459272.653919e-08
0.4827051.4592392.644153e-08
0.4833821.4592082.634374e-08
0.4840611.4591772.624581e-08
0.484741.4591462.614773e-08
0.4854211.4591152.604953e-08
0.4861021.4590852.595118e-08
0.4867841.4590542.585270e-08
0.4874671.4590242.575407e-08
0.4881521.4589932.565531e-08
0.4888371.4589632.555641e-08
0.4895231.4589332.545738e-08
0.490211.4589022.535820e-08
0.4908981.4588722.525888e-08
0.4915871.4588422.515943e-08
0.4922771.4588122.505983e-08
0.4929681.4587832.496010e-08
0.493661.4587532.486022e-08
0.4943531.4587232.476021e-08
0.4950461.4586932.466005e-08
0.4957411.4586642.455975e-08
0.4964371.4586352.445932e-08
0.4971341.4586052.435874e-08
0.4978321.4585762.425802e-08
0.498531.4585472.415716e-08
0.499231.4585182.405616e-08
0.4999311.4584892.395501e-08
0.51.4584862.394500e-08
0.5006321.458462.397529e-08
0.5013351.4584312.400894e-08
0.5020391.4584022.404265e-08
0.5027431.4583732.407640e-08
0.5034491.4583452.411020e-08
0.5041551.4583162.414405e-08
0.5048631.4582882.417794e-08
0.5055721.4582592.421188e-08
0.5062811.4582312.424587e-08
0.5069921.4582032.427991e-08
0.5077031.4581752.431399e-08
0.5084161.4581472.434812e-08
0.509131.4581192.438230e-08
0.5098441.4580912.441653e-08
0.510561.4580632.445081e-08
0.5112761.4580352.448513e-08
0.5119941.4580072.451951e-08
0.5127121.457982.455393e-08
0.5134321.4579522.458840e-08
0.5141531.4579252.462291e-08
0.5148741.4578972.465748e-08
0.5155971.457872.469209e-08
0.5163211.4578432.472676e-08
0.5170451.4578162.476147e-08
0.5177711.4577882.479623e-08
0.5184981.4577612.483104e-08
0.5192251.4577352.486590e-08
0.5199541.4577082.490080e-08
0.5206841.4576812.493576e-08
0.5214151.4576542.497076e-08
0.5221471.4576272.500582e-08
0.5228791.4576012.504092e-08
0.5236131.4575742.507607e-08
0.5243481.4575482.511128e-08
0.5250841.4575222.514653e-08
0.5258211.4574952.518183e-08
0.5265591.4574692.521718e-08
0.5272981.4574432.525258e-08
0.5280381.4574172.528803e-08
0.5287791.4573912.532353e-08
0.5295211.4573652.535908e-08
0.5302651.4573392.539468e-08
0.5310091.4573132.543033e-08
0.5317541.4572872.546603e-08
0.5325011.4572622.550178e-08
0.5332481.4572362.553758e-08
0.5339961.4572112.557342e-08
0.5347461.4571852.560932e-08
0.5354961.457162.564528e-08
0.5362481.4571342.568128e-08
0.5370011.4571092.571733e-08
0.5377541.4570842.575343e-08
0.5385091.4570592.578958e-08
0.5392651.4570342.582579e-08
0.5400221.4570092.586204e-08
0.540781.4569842.589835e-08
0.5415391.4569592.593470e-08
0.5422991.4569342.597111e-08
0.543061.456912.600757e-08
0.5438221.4568852.604408e-08
0.5445851.456862.608064e-08
0.545351.4568362.611725e-08
0.5461151.4568112.615391e-08
0.5468821.4567872.619063e-08
0.5476491.4567632.622739e-08
0.5484181.4567382.626421e-08
0.5491871.4567142.630108e-08
0.5499581.456692.633800e-08
0.551.4566892.634000e-08
0.550731.4566662.644515e-08
0.5515031.4566422.655645e-08
0.5522771.4566182.666792e-08
0.5530521.4565942.677954e-08
0.5538291.456572.689131e-08
0.5546061.4565462.700325e-08
0.5553841.4565232.711534e-08
0.5561641.4564992.722758e-08
0.5569441.4564752.733999e-08
0.5577261.4564522.745255e-08
0.5585091.4564292.756527e-08
0.5592931.4564052.767815e-08
0.5600781.4563822.779119e-08
0.5608641.4563592.790439e-08
0.5616511.4563352.801774e-08
0.5624391.4563122.813126e-08
0.5632291.4562892.824493e-08
0.5640191.4562662.835876e-08
0.5648111.4562432.847276e-08
0.5656041.456222.858691e-08
0.5663971.4561972.870122e-08
0.5671921.4561752.881570e-08
0.5679881.4561522.893033e-08
0.5687861.4561292.904513e-08
0.5695841.4561062.916008e-08
0.5703831.4560842.927520e-08
0.5711841.4560612.939048e-08
0.5719861.4560392.950592e-08
0.5727881.4560172.962152e-08
0.5735921.4559942.973729e-08
0.5743971.4559722.985322e-08
0.5752041.455952.996931e-08
0.5760111.4559283.008556e-08
0.5768191.4559063.020198e-08
0.5776291.4558843.031856e-08
0.578441.4558623.043530e-08
0.5792511.455843.055221e-08
0.5800641.4558183.066928e-08
0.5808791.4557963.078651e-08
0.5816941.4557743.090391e-08
0.582511.4557523.102148e-08
0.5833281.4557313.113921e-08
0.5841471.4557093.125711e-08
0.5849661.4556883.137517e-08
0.5857871.4556663.149339e-08
0.586611.4556453.161179e-08
0.5874331.4556233.173034e-08
0.5882571.4556023.184907e-08
0.5890831.4555813.196796e-08
0.589911.455563.208702e-08
0.5907381.4555383.220625e-08
0.5915671.4555173.232564e-08
0.5923971.4554963.244520e-08
0.5932291.4554753.256493e-08
0.5940611.4554543.268482e-08
0.5948951.4554333.280489e-08
0.595731.4554133.292512e-08
0.5965661.4553923.304552e-08
0.5974031.4553713.316609e-08
0.5982421.455353.328683e-08
0.5990821.455333.340774e-08
0.5999221.4553093.352882e-08
0.61.4553073.354000e-08
0.6007641.4552893.374217e-08
0.6016081.4552683.396517e-08
0.6024521.4552483.418849e-08
0.6032981.4552273.441213e-08
0.6041441.4552073.463608e-08
0.6049921.4551873.486034e-08
0.6058411.4551663.508491e-08
0.6066921.4551463.530981e-08
0.6075431.4551263.553501e-08
0.6083961.4551063.576054e-08
0.609251.4550863.598638e-08
0.6101051.4550663.621253e-08
0.6109611.4550463.643901e-08
0.6118191.4550263.666580e-08
0.6126771.4550063.689291e-08
0.6135371.4549863.712034e-08
0.6143981.4549673.734809e-08
0.6152611.4549473.757616e-08
0.6161241.4549273.780454e-08
0.6169891.4549083.803325e-08
0.6178551.4548883.826228e-08
0.6187221.4548693.849163e-08
0.6195911.4548493.872131e-08
0.620461.454833.895130e-08
0.6213311.4548113.918162e-08
0.6222031.4547913.941226e-08
0.6230761.4547723.964323e-08
0.6239511.4547533.987452e-08
0.6248271.4547344.010613e-08
0.6257041.4547144.033807e-08
0.6265821.4546954.057033e-08
0.6274611.4546764.080293e-08
0.6283421.4546574.103584e-08
0.6292241.4546384.126909e-08
0.6301071.4546194.150266e-08
0.6309911.4546014.173656e-08
0.6318771.4545824.197078e-08
0.6327641.4545634.220534e-08
0.6336521.4545444.244023e-08
0.6345411.4545264.267544e-08
0.6354321.4545074.291099e-08
0.6363241.4544884.314686e-08
0.6372171.454474.338307e-08
0.6381111.4544514.361961e-08
0.6390071.4544334.385648e-08
0.6399041.4544144.409368e-08
0.6408021.4543964.433122e-08
0.6417011.4543784.456909e-08
0.6426021.454364.480729e-08
0.6435041.4543414.504583e-08
0.6444071.4543234.528470e-08
0.6453111.4543054.552391e-08
0.6462171.4542874.576345e-08
0.6471241.4542694.600333e-08
0.6480321.4542514.624354e-08
0.6489421.4542334.648410e-08
0.6498521.4542154.672499e-08
0.651.4542124.676400e-08
0.6507651.4541974.690500e-08
0.6516781.4541794.707345e-08
0.6525931.4541614.724213e-08
0.6535091.4541434.741104e-08
0.6544261.4541264.758020e-08
0.6553441.4541084.774959e-08
0.6562641.454094.791922e-08
0.6571851.4540734.808908e-08
0.6581081.4540554.825919e-08
0.6590311.4540384.842953e-08
0.6599561.454024.860012e-08
0.6608821.4540034.877094e-08
0.661811.4539854.894200e-08
0.6627391.4539684.911330e-08
0.6636691.453954.928484e-08
0.6646011.4539334.945663e-08
0.6655331.4539164.962865e-08
0.6664671.4538994.980092e-08
0.6674031.4538814.997343e-08
0.668341.4538645.014618e-08
0.6692781.4538475.031917e-08
0.6702171.453835.049240e-08
0.6711581.4538135.066588e-08
0.67211.4537965.083960e-08
0.6730431.4537795.101357e-08
0.6739881.4537625.118778e-08
0.6749331.4537455.136223e-08
0.6758811.4537295.153693e-08
0.6768291.4537125.171188e-08
0.6777791.4536955.188707e-08
0.6787311.4536785.206250e-08
0.6796831.4536625.223818e-08
0.6806371.4536455.241411e-08
0.6815921.4536285.259029e-08
0.6825491.4536125.276671e-08
0.6835071.4535955.294338e-08
0.6844661.4535795.312030e-08
0.6854271.4535625.329747e-08
0.6863891.4535465.347488e-08
0.6873521.4535295.365255e-08
0.6883171.4535135.383046e-08
0.6892831.4534975.400862e-08
0.6902511.453485.418704e-08
0.6912191.4534645.436570e-08
0.692191.4534485.454461e-08
0.6931611.4534325.472378e-08
0.6941341.4534155.490320e-08
0.6951081.4533995.508287e-08
0.6960841.4533835.526279e-08
0.6970611.4533675.544296e-08
0.6980391.4533515.562339e-08
0.6990191.4533355.580407e-08
0.71.4533195.598500e-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
—