Optical constants

Refractive index of P-FK01S (HIKARI)

P-FK01S: 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
1.49649
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.23947
Permittivity ε2
1.40020e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
81.546
Chromatic dispersion dn/dλ
-0.0315043 µm⁻¹
Group index ng
1.515
Group velocity dispersion
54.9214 fs²/mm
Dispersion parameter D
-299.625 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-FK01S (HIKARI): P-FK01S
hikari_p_fk01s = ls.fetch_refractiveindex("specs", "HIKARI-optical", "P-FK01S", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_p_fk01s.range_nm)  # (400, 700) nm
eps = hikari_p_fk01s.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=2.2209843−0.00850617932⁢λ2.0+0.00565991749⁢λ−2.0+0.000843578948⁢λ−4.0−9.83647071×10-5⁢λ−6.0+4.93916644×10-6⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.2209843
C2-0.00850617932
C32.0
C40.00565991749
C5-2.0
C60.000843578948
C7-4.0
C8-9.83647071e-05
C9-6.0
C104.93916644e-06
C11-8.0

Comments and conditions

Low Tg glass

Conditions

temperature
296 K

Properties

nd
1.496488
Vd
81.546118
glass status
preferred
density
value: 3610
thermal expansion
value: 1.48e-05, temperature range: 243 343
dPgF
0.0297

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-FK01S (HIKARI), P-FK01S: n and k versus wavelength
λ (µm)nk
0.41.507143.184700e-09
0.4005611.5070843.189169e-09
0.4011241.5070283.193644e-09
0.4016871.5069723.198125e-09
0.402251.5069163.202613e-09
0.4028151.506863.207107e-09
0.403381.5068043.211607e-09
0.4039461.5067493.216114e-09
0.4045131.5066943.220627e-09
0.4050811.5066393.225146e-09
0.405651.5065843.229672e-09
0.4062191.5065293.234204e-09
0.4067891.5064753.238742e-09
0.407361.506423.243287e-09
0.4079321.5063663.247838e-09
0.4085041.5063123.252395e-09
0.4090781.5062583.256959e-09
0.4096521.5062053.261529e-09
0.4102271.5061513.266106e-09
0.4108031.5060983.270689e-09
0.4113791.5060453.275279e-09
0.4119571.5059923.279875e-09
0.4125351.5059393.284477e-09
0.4131141.5058863.289086e-09
0.4136941.5058343.293701e-09
0.4142741.5057813.298323e-09
0.4148561.5057293.302951e-09
0.4154381.5056773.307586e-09
0.4160211.5056253.312227e-09
0.4166051.5055743.316875e-09
0.417191.5055223.321530e-09
0.4177751.5054713.326191e-09
0.4183621.5054193.330858e-09
0.4189491.5053683.335532e-09
0.4195371.5053173.340212e-09
0.421.5052773.343900e-09
0.4201261.5052673.344900e-09
0.4207151.5052163.349597e-09
0.4213061.5051663.354300e-09
0.4218971.5051153.359010e-09
0.4224891.5050653.363726e-09
0.4230821.5050153.368449e-09
0.4236761.5049653.373179e-09
0.4242711.5049153.377915e-09
0.4248661.5048663.382658e-09
0.4254621.5048163.387408e-09
0.426061.5047673.392164e-09
0.4266581.5047183.396927e-09
0.4272561.5046693.401697e-09
0.4278561.504623.406473e-09
0.4284571.5045723.411256e-09
0.4290581.5045233.416046e-09
0.429661.5044753.420843e-09
0.4302631.5044263.425646e-09
0.4308671.5043783.430456e-09
0.4314721.504333.435272e-09
0.4320771.5042823.440096e-09
0.4326841.5042353.444926e-09
0.4332911.5041873.449763e-09
0.4338991.504143.454607e-09
0.4345081.5040933.459458e-09
0.4351181.5040453.464315e-09
0.4357291.5039983.469179e-09
0.436341.5039523.474050e-09
0.4369531.5039053.478928e-09
0.4375661.5038583.483813e-09
0.438181.5038123.488705e-09
0.4387951.5037663.493603e-09
0.4394111.5037193.498508e-09
0.441.5036753.503200e-09
0.4400281.5036733.503420e-09
0.4406451.5036273.508336e-09
0.4412641.5035823.513259e-09
0.4418831.5035363.518189e-09
0.4425031.503493.523126e-09
0.4431241.5034453.528070e-09
0.4437461.50343.533020e-09
0.4443691.5033553.537978e-09
0.4449931.503313.542942e-09
0.4456171.5032653.547914e-09
0.4462431.503223.552892e-09
0.4468691.5031763.557878e-09
0.4474961.5031313.562870e-09
0.4481241.5030873.567870e-09
0.4487531.5030433.572876e-09
0.4493831.5029993.577890e-09
0.4500141.5029553.582910e-09
0.4506451.5029113.587938e-09
0.4512781.5028673.592973e-09
0.4519111.5028243.598014e-09
0.4525461.502783.603063e-09
0.4531811.5027373.608119e-09
0.4538171.5026943.613182e-09
0.4544541.5026513.618252e-09
0.4550921.5026083.623329e-09
0.455731.5025653.628414e-09
0.456371.5025223.633505e-09
0.4570111.5024793.638604e-09
0.4576521.5024373.643709e-09
0.4582941.5023953.648822e-09
0.4589381.5023523.653943e-09
0.4595821.502313.659070e-09
0.461.5022833.662400e-09
0.4602271.5022683.664204e-09
0.4608731.5022273.669346e-09
0.4615191.5021853.674495e-09
0.4621671.5021433.679651e-09
0.4628161.5021023.684814e-09
0.4634651.502063.689985e-09
0.4641161.5020193.695163e-09
0.4647671.5019783.700348e-09
0.465421.5019373.705541e-09
0.4660731.5018963.710740e-09
0.4667271.5018553.715947e-09
0.4673821.5018153.721162e-09
0.4680381.5017743.726383e-09
0.4686951.5017343.731612e-09
0.4693531.5016933.736848e-09
0.4700121.5016533.742092e-09
0.4706711.5016133.747343e-09
0.4713321.5015733.752602e-09
0.4719931.5015333.757867e-09
0.4726561.5014933.763140e-09
0.4733191.5014543.768421e-09
0.4739841.5014143.773709e-09
0.4746491.5013753.779004e-09
0.4753151.5013353.784307e-09
0.4759821.5012963.789617e-09
0.476651.5012573.794935e-09
0.4773191.5012183.800260e-09
0.4779891.5011793.805593e-09
0.478661.501143.810933e-09
0.4793321.5011023.816281e-09
0.481.5010643.821600e-09
0.4800051.5010633.821636e-09
0.4806781.5010253.827002e-09
0.4813531.5009873.832376e-09
0.4820281.5009483.837757e-09
0.4827051.500913.843145e-09
0.4833821.5008723.848541e-09
0.4840611.5008343.853945e-09
0.484741.5007963.859357e-09
0.4854211.5007593.864776e-09
0.4861021.5007213.870202e-09
0.4867841.5006843.875636e-09
0.4874671.5006463.881078e-09
0.4881521.5006093.886528e-09
0.4888371.5005723.891985e-09
0.4895231.5005353.897450e-09
0.490211.5004983.902922e-09
0.4908981.5004613.908402e-09
0.4915871.5004243.913890e-09
0.4922771.5003883.919385e-09
0.4929681.5003513.924889e-09
0.493661.5003153.930400e-09
0.4943531.5002783.935918e-09
0.4950461.5002423.941445e-09
0.4957411.5002063.946979e-09
0.4964371.500173.952521e-09
0.4971341.5001343.958071e-09
0.4978321.5000983.963628e-09
0.498531.5000633.969193e-09
0.499231.5000273.974766e-09
0.4999311.4999913.980347e-09
0.51.4999883.980900e-09
0.5006321.4999563.985934e-09
0.5013351.4999213.991529e-09
0.5020391.4998853.997131e-09
0.5027431.499854.002741e-09
0.5034491.4998154.008360e-09
0.5041551.499784.013986e-09
0.5048631.4997454.019619e-09
0.5055721.4997114.025261e-09
0.5062811.4996764.030911e-09
0.5069921.4996424.036569e-09
0.5077031.4996074.042234e-09
0.5084161.4995734.047908e-09
0.509131.4995384.053589e-09
0.5098441.4995044.059279e-09
0.510561.499474.064976e-09
0.5112761.4994364.070682e-09
0.5119941.4994024.076395e-09
0.5127121.4993694.082117e-09
0.5134321.4993354.087846e-09
0.5141531.4993014.093584e-09
0.5148741.4992684.099329e-09
0.5155971.4992344.105083e-09
0.5163211.4992014.110845e-09
0.5170451.4991684.116614e-09
0.5177711.4991354.122392e-09
0.5184981.4991024.128178e-09
0.5192251.4990694.133973e-09
0.5199541.4990364.139775e-09
0.5206841.4990034.145585e-09
0.5214151.498974.151404e-09
0.5221471.4989384.157231e-09
0.5228791.4989054.163066e-09
0.5236131.4988734.168909e-09
0.5243481.498844.174760e-09
0.5250841.4988084.180620e-09
0.5258211.4987764.186487e-09
0.5265591.4987444.192363e-09
0.5272981.4987124.198248e-09
0.5280381.498684.204140e-09
0.5287791.4986484.210041e-09
0.5295211.4986174.215950e-09
0.5302651.4985854.221867e-09
0.5310091.4985534.227793e-09
0.5317541.4985224.233727e-09
0.5325011.4984914.239669e-09
0.5332481.4984594.245620e-09
0.5339961.4984284.251579e-09
0.5347461.4983974.257546e-09
0.5354961.4983664.263522e-09
0.5362481.4983354.269506e-09
0.5370011.4983044.275499e-09
0.5377541.4982734.281500e-09
0.5385091.4982434.287509e-09
0.5392651.4982124.293527e-09
0.5400221.4981824.299553e-09
0.540781.4981514.305588e-09
0.5415391.4981214.311631e-09
0.5422991.4980914.317682e-09
0.543061.498064.323743e-09
0.5438221.498034.329811e-09
0.5445851.4984.335888e-09
0.545351.497974.341974e-09
0.5461151.497944.348068e-09
0.5468821.4979114.354171e-09
0.5476491.4978814.360282e-09
0.5484181.4978514.366402e-09
0.5491871.4978224.372531e-09
0.5499581.4977924.378668e-09
0.551.4977914.379000e-09
0.550731.4977634.384812e-09
0.5515031.4977344.390965e-09
0.5522771.4977044.397126e-09
0.5530521.4976754.403297e-09
0.5538291.4976464.409475e-09
0.5546061.4976174.415663e-09
0.5553841.4975884.421859e-09
0.5561641.4975594.428064e-09
0.5569441.4975314.434277e-09
0.5577261.4975024.440499e-09
0.5585091.4974734.446730e-09
0.5592931.4974454.452970e-09
0.5600781.4974164.459219e-09
0.5608641.4973884.465476e-09
0.5616511.497364.471742e-09
0.5624391.4973314.478017e-09
0.5632291.4973034.484300e-09
0.5640191.4972754.490593e-09
0.5648111.4972474.496894e-09
0.5656041.4972194.503204e-09
0.5663971.4971914.509523e-09
0.5671921.4971644.515851e-09
0.5679881.4971364.522188e-09
0.5687861.4971084.528533e-09
0.5695841.4970814.534888e-09
0.5703831.4970534.541251e-09
0.5711841.4970264.547624e-09
0.5719861.4969984.554005e-09
0.5727881.4969714.560395e-09
0.5735921.4969444.566795e-09
0.5743971.4969174.573203e-09
0.5752041.496894.579620e-09
0.5760111.4968634.586046e-09
0.5768191.4968364.592481e-09
0.5776291.4968094.598926e-09
0.578441.4967824.605379e-09
0.5792511.4967564.611841e-09
0.5800641.4967294.618313e-09
0.5808791.4967024.624793e-09
0.5816941.4966764.631283e-09
0.582511.496654.637782e-09
0.5833281.4966234.644290e-09
0.5841471.4965974.650807e-09
0.5849661.4965714.657333e-09
0.5857871.4965454.663868e-09
0.586611.4965184.670413e-09
0.5874331.4964924.676966e-09
0.5882571.4964664.683529e-09
0.5890831.4964414.690101e-09
0.589911.4964154.696682e-09
0.5907381.4963894.703273e-09
0.5915671.4963634.709873e-09
0.5923971.4963384.716482e-09
0.5932291.4963124.723100e-09
0.5940611.4962874.729728e-09
0.5948951.4962614.736365e-09
0.595731.4962364.743011e-09
0.5965661.4962114.749666e-09
0.5974031.4961864.756331e-09
0.5982421.496164.763006e-09
0.5990821.4961354.769689e-09
0.5999221.496114.776382e-09
0.61.4961084.777000e-09
0.6007641.4960854.783086e-09
0.6016081.496064.789800e-09
0.6024521.4960364.796523e-09
0.6032981.4960114.803255e-09
0.6041441.4959864.809997e-09
0.6049921.4959614.816748e-09
0.6058411.4959374.823509e-09
0.6066921.4959124.830279e-09
0.6075431.4958884.837059e-09
0.6083961.4958634.843848e-09
0.609251.4958394.850647e-09
0.6101051.4958154.857455e-09
0.6109611.4957914.864273e-09
0.6118191.4957664.871100e-09
0.6126771.4957424.877937e-09
0.6135371.4957184.884784e-09
0.6143981.4956944.891640e-09
0.6152611.495674.898506e-09
0.6161241.4956474.905381e-09
0.6169891.4956234.912266e-09
0.6178551.4955994.919161e-09
0.6187221.4955754.926066e-09
0.6195911.4955524.932980e-09
0.620461.4955284.939904e-09
0.6213311.4955054.946837e-09
0.6222031.4954814.953781e-09
0.6230761.4954584.960734e-09
0.6239511.4954354.967697e-09
0.6248271.4954114.974669e-09
0.6257041.4953884.981652e-09
0.6265821.4953654.988644e-09
0.6274611.4953424.995646e-09
0.6283421.4953195.002658e-09
0.6292241.4952965.009679e-09
0.6301071.4952735.016711e-09
0.6309911.495255.023752e-09
0.6318771.4952275.030803e-09
0.6327641.4952045.037865e-09
0.6336521.4951825.044936e-09
0.6345411.4951595.052017e-09
0.6354321.4951365.059108e-09
0.6363241.4951145.066208e-09
0.6372171.4950915.073319e-09
0.6381111.4950695.080440e-09
0.6390071.4950475.087571e-09
0.6399041.4950245.094712e-09
0.6408021.4950025.101863e-09
0.6417011.494985.109024e-09
0.6426021.4949585.116194e-09
0.6435041.4949365.123375e-09
0.6444071.4949135.130567e-09
0.6453111.4948915.137768e-09
0.6462171.4948695.144979e-09
0.6471241.4948485.152200e-09
0.6480321.4948265.159432e-09
0.6489421.4948045.166674e-09
0.6498521.4947825.173926e-09
0.651.4947795.175100e-09
0.6507651.494765.181188e-09
0.6516781.4947395.188460e-09
0.6525931.4947175.195742e-09
0.6535091.4946965.203035e-09
0.6544261.4946745.210338e-09
0.6553441.4946535.217651e-09
0.6562641.4946315.224974e-09
0.6571851.494615.232308e-09
0.6581081.4945895.239652e-09
0.6590311.4945675.247006e-09
0.6599561.4945465.254371e-09
0.6608821.4945255.261746e-09
0.661811.4945045.269131e-09
0.6627391.4944835.276527e-09
0.6636691.4944625.283933e-09
0.6646011.4944415.291349e-09
0.6655331.494425.298776e-09
0.6664671.4943995.306213e-09
0.6674031.4943785.313661e-09
0.668341.4943575.321119e-09
0.6692781.4943375.328588e-09
0.6702171.4943165.336067e-09
0.6711581.4942955.343557e-09
0.67211.4942755.351057e-09
0.6730431.4942545.358567e-09
0.6739881.4942345.366089e-09
0.6749331.4942135.373620e-09
0.6758811.4941935.381163e-09
0.6768291.4941735.388716e-09
0.6777791.4941525.396279e-09
0.6787311.4941325.403853e-09
0.6796831.4941125.411438e-09
0.6806371.4940925.419033e-09
0.6815921.4940715.426639e-09
0.6825491.4940515.434256e-09
0.6835071.4940315.441884e-09
0.6844661.4940115.449522e-09
0.6854271.4939915.457171e-09
0.6863891.4939715.464830e-09
0.6873521.4939515.472500e-09
0.6883171.4939325.480182e-09
0.6892831.4939125.487873e-09
0.6902511.4938925.495576e-09
0.6912191.4938725.503290e-09
0.692191.4938535.511014e-09
0.6931611.4938335.518749e-09
0.6941341.4938135.526495e-09
0.6951081.4937945.534252e-09
0.6960841.4937745.542020e-09
0.6970611.4937555.549798e-09
0.6980391.4937365.557588e-09
0.6990191.4937165.565389e-09
0.71.4936975.573200e-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
—