Optical constants

Refractive index of E-FKH2 (HIKARI)

E-FKH2: 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
1.456
Extinction coefficient k
3.17544e-08
Permittivity ε1
2.11993
Permittivity ε2
9.24688e-08
Absorption coefficient α
0.00679097 cm⁻¹
Penetration depth δ = λ/(2πk)
2.94509e+09 nm
Abbe number Vd
91.321
Chromatic dispersion dn/dλ
-0.0258933 µm⁻¹
Group index ng
1.47121
Group velocity dispersion
44.4061 fs²/mm
Dispersion parameter D
-242.259 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-FKH2 (HIKARI): E-FKH2
hikari_e_fkh2 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "E-FKH2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_e_fkh2.range_nm)  # (400, 700) nm
eps = hikari_e_fkh2.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=2.10176037−0.00475364874⁢λ2.0+0.00656506916⁢λ−2.0+0.000110380259⁢λ−4.0−6.14897591×10-6⁢λ−6.0+3.33432784×10-7⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.10176037
C2-0.00475364874
C32.0
C40.00656506916
C5-2.0
C60.000110380259
C7-4.0
C8-6.14897591e-06
C9-6.0
C103.33432784e-07
C11-8.0

Comments and conditions

Conditions

temperature
296 K

Properties

nd
1.456000
Vd
91.320735
glass status
preferred
density
value: 3680
thermal expansion
value: 1.6e-05, temperature range: 243 343
dPgF
0.0435

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-FKH2 (HIKARI), E-FKH2: n and k versus wavelength
λ (µm)nk
0.41.4647024.165200e-08
0.4005611.4646564.142572e-08
0.4011241.464614.119913e-08
0.4016871.4645644.097222e-08
0.402251.4645194.074498e-08
0.4028151.4644744.051743e-08
0.403381.4644294.028956e-08
0.4039461.4643844.006138e-08
0.4045131.4643393.983287e-08
0.4050811.4642943.960404e-08
0.405651.4642493.937488e-08
0.4062191.4642053.914541e-08
0.4067891.464163.891562e-08
0.407361.4641163.868550e-08
0.4079321.4640723.845506e-08
0.4085041.4640283.822429e-08
0.4090781.4639843.799321e-08
0.4096521.4639413.776179e-08
0.4102271.4638973.753006e-08
0.4108031.4638543.729799e-08
0.4113791.463813.706561e-08
0.4119571.4637673.683289e-08
0.4125351.4637243.659985e-08
0.4131141.4636813.636648e-08
0.4136941.4636383.613279e-08
0.4142741.4635963.589876e-08
0.4148561.4635533.566441e-08
0.4154381.4635113.542973e-08
0.4160211.4634693.519472e-08
0.4166051.4634263.495938e-08
0.417191.4633843.472371e-08
0.4177751.4633433.448771e-08
0.4183621.4633013.425138e-08
0.4189491.4632593.401471e-08
0.4195371.4632183.377772e-08
0.421.4631853.359100e-08
0.4201261.4631763.360104e-08
0.4207151.4631353.364818e-08
0.4213061.4630943.369539e-08
0.4218971.4630533.374267e-08
0.4224891.4630123.379001e-08
0.4230821.4629713.383742e-08
0.4236761.462933.388489e-08
0.4242711.462893.393243e-08
0.4248661.4628493.398004e-08
0.4254621.4628093.402772e-08
0.426061.4627693.407546e-08
0.4266581.4627293.412327e-08
0.4272561.4626893.417115e-08
0.4278561.4626493.421909e-08
0.4284571.4626093.426710e-08
0.4290581.4625693.431518e-08
0.429661.462533.436332e-08
0.4302631.462493.441154e-08
0.4308671.4624513.445982e-08
0.4314721.4624123.450817e-08
0.4320771.4623733.455658e-08
0.4326841.4623343.460507e-08
0.4332911.4622953.465362e-08
0.4338991.4622573.470224e-08
0.4345081.4622183.475093e-08
0.4351181.4621793.479969e-08
0.4357291.4621413.484851e-08
0.436341.4621033.489741e-08
0.4369531.4620653.494637e-08
0.4375661.4620273.499540e-08
0.438181.4619893.504450e-08
0.4387951.4619513.509367e-08
0.4394111.4619133.514291e-08
0.441.4618773.519000e-08
0.4400281.4618763.518199e-08
0.4406451.4618383.500325e-08
0.4412641.4618013.482427e-08
0.4418831.4617643.464504e-08
0.4425031.4617263.446555e-08
0.4431241.4616893.428582e-08
0.4437461.4616523.410583e-08
0.4443691.4616163.392559e-08
0.4449931.4615793.374509e-08
0.4456171.4615423.356435e-08
0.4462431.4615063.338334e-08
0.4468691.4614693.320209e-08
0.4474961.4614333.302058e-08
0.4481241.4613973.283881e-08
0.4487531.4613613.265679e-08
0.4493831.4613253.247452e-08
0.4500141.4612893.229199e-08
0.4506451.4612533.210920e-08
0.4512781.4612173.192616e-08
0.4519111.4611823.174285e-08
0.4525461.4611463.155930e-08
0.4531811.4611113.137548e-08
0.4538171.4610763.119141e-08
0.4544541.4610413.100708e-08
0.4550921.4610053.082248e-08
0.455731.460973.063764e-08
0.456371.4609363.045253e-08
0.4570111.4609013.026716e-08
0.4576521.4608663.008153e-08
0.4582941.4608322.989564e-08
0.4589381.4607972.970949e-08
0.4595821.4607632.952308e-08
0.461.4607412.940200e-08
0.4602271.4607292.937287e-08
0.4608731.4606942.928987e-08
0.4615191.460662.920675e-08
0.4621671.4606262.912351e-08
0.4628161.4605922.904016e-08
0.4634651.4605592.895669e-08
0.4641161.4605252.887310e-08
0.4647671.4604912.878940e-08
0.465421.4604582.870557e-08
0.4660731.4604242.862163e-08
0.4667271.4603912.853758e-08
0.4673821.4603582.845340e-08
0.4680381.4603252.836911e-08
0.4686951.4602922.828469e-08
0.4693531.4602592.820016e-08
0.4700121.4602262.811551e-08
0.4706711.4601932.803074e-08
0.4713321.4601612.794586e-08
0.4719931.4601282.786085e-08
0.4726561.4600962.777573e-08
0.4733191.4600632.769048e-08
0.4739841.4600312.760512e-08
0.4746491.4599992.751963e-08
0.4753151.4599672.743403e-08
0.4759821.4599352.734830e-08
0.476651.4599032.726246e-08
0.4773191.4598712.717649e-08
0.4779891.4598392.709040e-08
0.478661.4598072.700420e-08
0.4793321.4597762.691787e-08
0.481.4597452.683200e-08
0.4800051.4597442.683135e-08
0.4806781.4597132.673410e-08
0.4813531.4596822.663671e-08
0.4820281.459652.653919e-08
0.4827051.4596192.644153e-08
0.4833821.4595882.634374e-08
0.4840611.4595572.624581e-08
0.484741.4595272.614773e-08
0.4854211.4594962.604953e-08
0.4861021.4594652.595118e-08
0.4867841.4594342.585270e-08
0.4874671.4594042.575407e-08
0.4881521.4593732.565531e-08
0.4888371.4593432.555641e-08
0.4895231.4593132.545738e-08
0.490211.4592832.535820e-08
0.4908981.4592532.525888e-08
0.4915871.4592232.515943e-08
0.4922771.4591932.505983e-08
0.4929681.4591632.496010e-08
0.493661.4591332.486022e-08
0.4943531.4591032.476021e-08
0.4950461.4590742.466005e-08
0.4957411.4590442.455975e-08
0.4964371.4590152.445932e-08
0.4971341.4589862.435874e-08
0.4978321.4589562.425802e-08
0.498531.4589272.415716e-08
0.499231.4588982.405616e-08
0.4999311.4588692.395501e-08
0.51.4588662.394500e-08
0.5006321.458842.397529e-08
0.5013351.4588112.400894e-08
0.5020391.4587822.404265e-08
0.5027431.4587542.407640e-08
0.5034491.4587252.411020e-08
0.5041551.4586962.414405e-08
0.5048631.4586682.417794e-08
0.5055721.458642.421188e-08
0.5062811.4586112.424587e-08
0.5069921.4585832.427991e-08
0.5077031.4585552.431399e-08
0.5084161.4585272.434812e-08
0.509131.4584992.438230e-08
0.5098441.4584712.441653e-08
0.510561.4584432.445081e-08
0.5112761.4584152.448513e-08
0.5119941.4583882.451951e-08
0.5127121.458362.455393e-08
0.5134321.4583322.458840e-08
0.5141531.4583052.462291e-08
0.5148741.4582772.465748e-08
0.5155971.458252.469209e-08
0.5163211.4582232.472676e-08
0.5170451.4581962.476147e-08
0.5177711.4581692.479623e-08
0.5184981.4581422.483104e-08
0.5192251.4581152.486590e-08
0.5199541.4580882.490080e-08
0.5206841.4580612.493576e-08
0.5214151.4580342.497076e-08
0.5221471.4580082.500582e-08
0.5228791.4579812.504092e-08
0.5236131.4579542.507607e-08
0.5243481.4579282.511128e-08
0.5250841.4579022.514653e-08
0.5258211.4578752.518183e-08
0.5265591.4578492.521718e-08
0.5272981.4578232.525258e-08
0.5280381.4577972.528803e-08
0.5287791.4577712.532353e-08
0.5295211.4577452.535908e-08
0.5302651.4577192.539468e-08
0.5310091.4576932.543033e-08
0.5317541.4576672.546603e-08
0.5325011.4576422.550178e-08
0.5332481.4576162.553758e-08
0.5339961.4575912.557342e-08
0.5347461.4575652.560932e-08
0.5354961.457542.564528e-08
0.5362481.4575152.568128e-08
0.5370011.4574892.571733e-08
0.5377541.4574642.575343e-08
0.5385091.4574392.578958e-08
0.5392651.4574142.582579e-08
0.5400221.4573892.586204e-08
0.540781.4573642.589835e-08
0.5415391.4573392.593470e-08
0.5422991.4573142.597111e-08
0.543061.457292.600757e-08
0.5438221.4572652.604408e-08
0.5445851.457242.608064e-08
0.545351.4572162.611725e-08
0.5461151.4571912.615391e-08
0.5468821.4571672.619063e-08
0.5476491.4571432.622739e-08
0.5484181.4571182.626421e-08
0.5491871.4570942.630108e-08
0.5499581.457072.633800e-08
0.551.4570692.634000e-08
0.550731.4570462.644515e-08
0.5515031.4570222.655645e-08
0.5522771.4569982.666792e-08
0.5530521.4569742.677954e-08
0.5538291.456952.689131e-08
0.5546061.4569262.700325e-08
0.5553841.4569032.711534e-08
0.5561641.4568792.722758e-08
0.5569441.4568552.733999e-08
0.5577261.4568322.745255e-08
0.5585091.4568092.756527e-08
0.5592931.4567852.767815e-08
0.5600781.4567622.779119e-08
0.5608641.4567392.790439e-08
0.5616511.4567152.801774e-08
0.5624391.4566922.813126e-08
0.5632291.4566692.824493e-08
0.5640191.4566462.835876e-08
0.5648111.4566232.847276e-08
0.5656041.45662.858691e-08
0.5663971.4565772.870122e-08
0.5671921.4565552.881570e-08
0.5679881.4565322.893033e-08
0.5687861.4565092.904513e-08
0.5695841.4564862.916008e-08
0.5703831.4564642.927520e-08
0.5711841.4564412.939048e-08
0.5719861.4564192.950592e-08
0.5727881.4563972.962152e-08
0.5735921.4563742.973729e-08
0.5743971.4563522.985322e-08
0.5752041.456332.996931e-08
0.5760111.4563083.008556e-08
0.5768191.4562863.020198e-08
0.5776291.4562633.031856e-08
0.578441.4562423.043530e-08
0.5792511.456223.055221e-08
0.5800641.4561983.066928e-08
0.5808791.4561763.078651e-08
0.5816941.4561543.090391e-08
0.582511.4561323.102148e-08
0.5833281.4561113.113921e-08
0.5841471.4560893.125711e-08
0.5849661.4560683.137517e-08
0.5857871.4560463.149339e-08
0.586611.4560253.161179e-08
0.5874331.4560033.173034e-08
0.5882571.4559823.184907e-08
0.5890831.4559613.196796e-08
0.589911.455943.208702e-08
0.5907381.4559183.220625e-08
0.5915671.4558973.232564e-08
0.5923971.4558763.244520e-08
0.5932291.4558553.256493e-08
0.5940611.4558343.268482e-08
0.5948951.4558133.280489e-08
0.595731.4557933.292512e-08
0.5965661.4557723.304552e-08
0.5974031.4557513.316609e-08
0.5982421.455733.328683e-08
0.5990821.455713.340774e-08
0.5999221.4556893.352882e-08
0.61.4556873.354000e-08
0.6007641.4556693.374217e-08
0.6016081.4556483.396517e-08
0.6024521.4556283.418849e-08
0.6032981.4556073.441213e-08
0.6041441.4555873.463608e-08
0.6049921.4555673.486034e-08
0.6058411.4555463.508491e-08
0.6066921.4555263.530981e-08
0.6075431.4555063.553501e-08
0.6083961.4554863.576054e-08
0.609251.4554663.598638e-08
0.6101051.4554463.621253e-08
0.6109611.4554263.643901e-08
0.6118191.4554063.666580e-08
0.6126771.4553863.689291e-08
0.6135371.4553673.712034e-08
0.6143981.4553473.734809e-08
0.6152611.4553273.757616e-08
0.6161241.4553073.780454e-08
0.6169891.4552883.803325e-08
0.6178551.4552683.826228e-08
0.6187221.4552493.849163e-08
0.6195911.4552293.872131e-08
0.620461.455213.895130e-08
0.6213311.4551913.918162e-08
0.6222031.4551713.941226e-08
0.6230761.4551523.964323e-08
0.6239511.4551333.987452e-08
0.6248271.4551144.010613e-08
0.6257041.4550944.033807e-08
0.6265821.4550754.057033e-08
0.6274611.4550564.080293e-08
0.6283421.4550374.103584e-08
0.6292241.4550184.126909e-08
0.6301071.4554.150266e-08
0.6309911.4549814.173656e-08
0.6318771.4549624.197078e-08
0.6327641.4549434.220534e-08
0.6336521.4549244.244023e-08
0.6345411.4549064.267544e-08
0.6354321.4548874.291099e-08
0.6363241.4548694.314686e-08
0.6372171.454854.338307e-08
0.6381111.4548314.361961e-08
0.6390071.4548134.385648e-08
0.6399041.4547954.409368e-08
0.6408021.4547764.433122e-08
0.6417011.4547584.456909e-08
0.6426021.454744.480729e-08
0.6435041.4547214.504583e-08
0.6444071.4547034.528470e-08
0.6453111.4546854.552391e-08
0.6462171.4546674.576345e-08
0.6471241.4546494.600333e-08
0.6480321.4546314.624354e-08
0.6489421.4546134.648410e-08
0.6498521.4545954.672499e-08
0.651.4545924.676400e-08
0.6507651.4545774.690500e-08
0.6516781.4545594.707345e-08
0.6525931.4545414.724213e-08
0.6535091.4545244.741104e-08
0.6544261.4545064.758020e-08
0.6553441.4544884.774959e-08
0.6562641.454474.791922e-08
0.6571851.4544534.808908e-08
0.6581081.4544354.825919e-08
0.6590311.4544184.842953e-08
0.6599561.45444.860012e-08
0.6608821.4543834.877094e-08
0.661811.4543654.894200e-08
0.6627391.4543484.911330e-08
0.6636691.4543314.928484e-08
0.6646011.4543134.945663e-08
0.6655331.4542964.962865e-08
0.6664671.4542794.980092e-08
0.6674031.4542624.997343e-08
0.668341.4542455.014618e-08
0.6692781.4542275.031917e-08
0.6702171.454215.049240e-08
0.6711581.4541935.066588e-08
0.67211.4541765.083960e-08
0.6730431.4541595.101357e-08
0.6739881.4541425.118778e-08
0.6749331.4541265.136223e-08
0.6758811.4541095.153693e-08
0.6768291.4540925.171188e-08
0.6777791.4540755.188707e-08
0.6787311.4540585.206250e-08
0.6796831.4540425.223818e-08
0.6806371.4540255.241411e-08
0.6815921.4540095.259029e-08
0.6825491.4539925.276671e-08
0.6835071.4539755.294338e-08
0.6844661.4539595.312030e-08
0.6854271.4539425.329747e-08
0.6863891.4539265.347488e-08
0.6873521.453915.365255e-08
0.6883171.4538935.383046e-08
0.6892831.4538775.400862e-08
0.6902511.4538615.418704e-08
0.6912191.4538445.436570e-08
0.692191.4538285.454461e-08
0.6931611.4538125.472378e-08
0.6941341.4537965.490320e-08
0.6951081.453785.508287e-08
0.6960841.4537645.526279e-08
0.6970611.4537485.544296e-08
0.6980391.4537315.562339e-08
0.6990191.4537165.580407e-08
0.71.45375.598500e-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
—