Optical constants

Refractive index of FC5 (HOYA)

FC5: n,k 0.365–1.014 µm

Data
formula 3 + tabulated k
Range
0.365–1.014 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–1.014 µm
Refractive index n
1.48749
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.21262
Permittivity ε2
1.39178e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
70.441
Chromatic dispersion dn/dλ
-0.0359827 µm⁻¹
Group index ng
1.50863
Group velocity dispersion
59.5406 fs²/mm
Dispersion parameter D
-324.825 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

# FC5 (HOYA): FC5
hoya_fc5 = ls.fetch_refractiveindex("specs", "HOYA-optical", "FC5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_fc5.range_nm)  # (365.01, 1013.98) nm
eps = hoya_fc5.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=2.1894054−0.0099044908⁢λ2.0+0.008640337⁢λ−2.0+0.00022263067⁢λ−4.0−1.2291942×10-5⁢λ−6.0+5.9386349×10-7⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.1894054
C2-0.0099044908
C32.0
C40.008640337
C5-2.0
C60.00022263067
C7-4.0
C8-1.2291942e-05
C9-6.0
C105.9386349e-07
C11-8.0

Comments and conditions

General glass Type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -6.6046e-06 0.0 0.0 0.0 0.0 0.0
nd
1.48749
Vd
70.45
glass code
487704
density
value: 2450
thermal expansion
value: 9.3e-06, temperature range: 243 343; value: 1.02e-05, temperature range: 293 573
dPgF
0.0092
resistance
acid: 5.0; stain: 5.0; climatic: 5.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -2.68e-06 K⁻¹ at 633 nm

References

Cite

HOYA Zemax catalog 2017-04-01 (obtained from http://www.hoya-opticalworld.com); Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 421 wavelengths, the same grid as the API and the library
FC5 (HOYA), FC5: n and k versus wavelength
λ (µm)nk
0.365011.504051.307794e-08
0.3659461.5039091.283845e-08
0.3668841.5037681.259835e-08
0.3678251.5036291.235763e-08
0.3687681.503491.211629e-08
0.3697131.5033521.187433e-08
0.371.5033111.180100e-08
0.3706611.5032151.242539e-08
0.3716121.5030791.332263e-08
0.3725651.5029431.422217e-08
0.373521.5028081.512401e-08
0.3744771.5026741.602817e-08
0.3754381.5025411.693464e-08
0.37641.5024081.784344e-08
0.3773651.5022771.875457e-08
0.3783331.5021461.966804e-08
0.3793031.5020162.058385e-08
0.381.5019232.124200e-08
0.3802751.5018862.082811e-08
0.381251.5017571.936279e-08
0.3822281.5016291.789372e-08
0.3832081.5015021.642087e-08
0.384191.5013761.494425e-08
0.3851761.501251.346385e-08
0.3861631.5011251.197965e-08
0.3871531.5011.049164e-08
0.3881461.5008778.999821e-09
0.3891411.5007547.504175e-09
0.391.5006486.213300e-09
0.3901391.5006316.215511e-09
0.3911391.500516.231446e-09
0.3921421.5003896.247422e-09
0.3931471.5002696.263438e-09
0.3941551.5001496.279496e-09
0.3951661.500036.295595e-09
0.3961791.4999126.311735e-09
0.3971951.4997946.327917e-09
0.3982131.4996786.344140e-09
0.3992341.4995616.360404e-09
0.41.4994756.372600e-09
0.4002581.4994466.419943e-09
0.4012841.4993316.608229e-09
0.4023131.4992166.796998e-09
0.4033451.4991036.986250e-09
0.4043791.498997.175988e-09
0.4054161.4988777.366212e-09
0.4064551.4987657.556924e-09
0.4074971.4986547.748125e-09
0.4085421.4985447.939816e-09
0.409591.4984348.131999e-09
0.410641.4983248.324675e-09
0.4116931.4982168.517844e-09
0.4127481.4981078.711509e-09
0.4138061.4988.905670e-09
0.4148671.4978939.100329e-09
0.4159311.4977869.295488e-09
0.4169981.4976819.491146e-09
0.4180671.4975759.687307e-09
0.4191391.4974719.883970e-09
0.421.4973871.004200e-08
0.4202131.4973671.004710e-08
0.4212911.4972631.007285e-08
0.4223711.497161.009866e-08
0.4234541.4970581.012455e-08
0.424541.4969561.015050e-08
0.4256281.4968541.017651e-08
0.4267191.4967541.020259e-08
0.4278131.4966541.022874e-08
0.428911.4965541.025496e-08
0.430011.4964551.028124e-08
0.4311131.4963561.030759e-08
0.4322181.4962581.033401e-08
0.4333261.496161.036050e-08
0.4344371.4960631.038705e-08
0.4355511.4959671.041367e-08
0.4366681.4958711.044036e-08
0.4377871.4957751.046712e-08
0.438911.495681.049395e-08
0.441.4955891.052000e-08
0.4400351.4955861.051438e-08
0.4411631.4954921.033434e-08
0.4422951.4953991.015384e-08
0.4434291.4953069.972875e-09
0.4445661.4952139.791448e-09
0.4457051.4951219.609556e-09
0.4468481.495039.427198e-09
0.4479941.4949399.244372e-09
0.4491431.4948489.061078e-09
0.4502941.4947588.877313e-09
0.4514491.4946688.693078e-09
0.4526061.4945798.508370e-09
0.4537671.4944918.323188e-09
0.454931.4944028.137532e-09
0.4560971.4943157.951399e-09
0.4572661.4942287.764790e-09
0.4584381.4941417.577702e-09
0.4596141.4940547.390134e-09
0.461.4940267.328500e-09
0.4607921.4939687.189592e-09
0.4619741.4938836.982430e-09
0.4631581.4937986.774736e-09
0.4643461.4937136.566510e-09
0.4655361.4936296.357750e-09
0.466731.4935466.148455e-09
0.4679271.4934625.938623e-09
0.4691261.4933795.728253e-09
0.4703291.4932975.517344e-09
0.4715351.4932155.305894e-09
0.4727441.4931335.093902e-09
0.4739561.4930524.881366e-09
0.4751711.4929724.668285e-09
0.476391.4928914.454658e-09
0.4776111.4928114.240484e-09
0.4788361.4927324.025760e-09
0.481.4926573.821600e-09
0.4800631.4926533.822105e-09
0.4812941.4925743.831909e-09
0.4825281.4924963.841738e-09
0.4837651.4924183.851592e-09
0.4850061.492343.861471e-09
0.4862491.4922633.871376e-09
0.4874961.4921873.881306e-09
0.4887461.492113.891262e-09
0.4899991.4920343.901243e-09
0.4912551.4919593.911250e-09
0.4925151.4918843.921282e-09
0.4937781.4918093.931340e-09
0.4950441.4917343.941424e-09
0.4963131.491663.951534e-09
0.4975861.4915873.961670e-09
0.4988611.4915133.971832e-09
0.51.4914483.980900e-09
0.5001411.491443.982019e-09
0.5014231.4913683.992229e-09
0.5027091.4912954.002465e-09
0.5039971.4912244.012728e-09
0.505291.4911524.023016e-09
0.5065851.4910814.033332e-09
0.5078841.491014.043673e-09
0.5091861.490944.054041e-09
0.5104921.490874.064436e-09
0.5118011.49084.074857e-09
0.5131131.490734.085305e-09
0.5144291.4906614.095780e-09
0.5157481.4905924.106282e-09
0.517071.4905244.116810e-09
0.5183961.4904564.127366e-09
0.5197251.4903884.137949e-09
0.5210571.4903214.148559e-09
0.5223931.4902544.159196e-09
0.5237331.4901874.169860e-09
0.5250761.490124.180552e-09
0.5264221.4900544.191271e-09
0.5277721.4899884.202017e-09
0.5291251.4899234.212791e-09
0.5304811.4898584.223593e-09
0.5318421.4897934.234422e-09
0.5332051.4897284.245280e-09
0.5345721.4896644.256165e-09
0.5359431.48964.267077e-09
0.5373171.4895364.278018e-09
0.5386951.4894734.288987e-09
0.5400761.489414.299984e-09
0.5414611.4893474.311010e-09
0.5428491.4892854.322063e-09
0.5442411.4892234.333145e-09
0.5456361.4891614.344255e-09
0.5470351.4890994.355394e-09
0.5484381.4890384.366562e-09
0.5498441.4889774.377758e-09
0.551.488974.379000e-09
0.5512541.4889164.388980e-09
0.5526671.4888564.400230e-09
0.5540841.4887964.411510e-09
0.5555051.4887364.422818e-09
0.5569291.4886764.434156e-09
0.5583571.4886174.445522e-09
0.5597891.4885584.456918e-09
0.5612241.4884994.468343e-09
0.5626631.488444.479797e-09
0.5641061.4883824.491280e-09
0.5655521.4883244.502793e-09
0.5670021.4882664.514336e-09
0.5684561.4882094.525908e-09
0.5699131.4881524.537509e-09
0.5713741.4880954.549141e-09
0.5728391.4880384.560802e-09
0.5743081.4879824.572493e-09
0.5757811.4879254.584214e-09
0.5772571.4878694.595966e-09
0.5787371.4878144.607747e-09
0.5802211.4877584.619558e-09
0.5817091.4877034.631400e-09
0.58321.4876484.643272e-09
0.5846951.4875934.655175e-09
0.5861951.4875394.667108e-09
0.5876971.4874854.679072e-09
0.5892041.4874314.691066e-09
0.5907151.4873774.703092e-09
0.592231.4873234.715148e-09
0.5937481.487274.727235e-09
0.595271.4872174.739352e-09
0.5967971.4871644.751501e-09
0.5983271.4871114.763682e-09
0.5998611.4870594.775893e-09
0.61.4870544.777000e-09
0.6013991.4870074.933066e-09
0.6029411.4869555.105088e-09
0.6044871.4869035.277551e-09
0.6060371.4868525.450456e-09
0.6075911.48685.623805e-09
0.6091481.4867495.797598e-09
0.610711.4866985.971836e-09
0.6122761.4866486.146521e-09
0.6138461.4865976.321655e-09
0.615421.4865476.497237e-09
0.6169981.4864976.673269e-09
0.618581.4864476.849753e-09
0.6201661.4863987.026689e-09
0.6217561.4863487.204079e-09
0.623351.4862997.381923e-09
0.6249481.486257.560224e-09
0.6265511.4862017.738982e-09
0.6281571.4861527.918198e-09
0.6297681.4861048.097874e-09
0.6313821.4860568.278010e-09
0.6330011.4860088.458608e-09
0.6346241.485968.639669e-09
0.6362511.4859128.821195e-09
0.6378831.4858659.003186e-09
0.6395181.4858179.185643e-09
0.6411581.485779.368569e-09
0.6428021.4857239.551963e-09
0.644451.4856779.735828e-09
0.6461021.485639.920164e-09
0.6477591.4855841.010497e-08
0.649421.4855381.029025e-08
0.651.4855211.035500e-08
0.6510851.4854921.025126e-08
0.6527541.4854461.009161e-08
0.6544281.48549.931550e-09
0.6561061.4853559.771079e-09
0.6577881.4853099.610197e-09
0.6594741.4852649.448903e-09
0.6611651.4852199.287194e-09
0.6628611.4851749.125072e-09
0.664561.485138.962533e-09
0.6662641.4850858.799578e-09
0.6679721.4850418.636205e-09
0.6696851.4849978.472413e-09
0.6714021.4849538.308201e-09
0.6731231.4849098.143569e-09
0.6748491.4848657.978514e-09
0.676581.4848217.813035e-09
0.6783141.4847787.647133e-09
0.6800531.4847357.480805e-09
0.6817971.4846927.314051e-09
0.6835451.4846497.146869e-09
0.6852981.4846066.979259e-09
0.6870551.4845636.811218e-09
0.6888161.4845216.642747e-09
0.6905831.4844796.473844e-09
0.6923531.4844366.304508e-09
0.6941281.4843946.134738e-09
0.6959081.4843525.964532e-09
0.6976921.4843115.793890e-09
0.6994811.4842695.622811e-09
0.71.4842575.573200e-09
0.7012751.4842275.583349e-09
0.7030731.4841865.597665e-09
0.7048751.4841455.612018e-09
0.7066831.4841045.626407e-09
0.7084951.4840635.640834e-09
0.7103111.4840225.655297e-09
0.7121321.4839815.669798e-09
0.7139581.4839415.684336e-09
0.7157891.48395.698911e-09
0.7176241.483865.713523e-09
0.7194641.483825.728173e-09
0.7213091.483785.742860e-09
0.7231581.483745.757585e-09
0.7250121.48375.772348e-09
0.7268711.483665.787148e-09
0.7287351.4836215.801987e-09
0.7306031.4835815.816864e-09
0.7324771.4835425.831778e-09
0.7343551.4835035.846731e-09
0.7362371.4834645.861723e-09
0.7381251.4834255.876752e-09
0.7400181.4833865.891821e-09
0.7419151.4833475.906928e-09
0.7438171.4833085.922073e-09
0.7457241.483275.937258e-09
0.7476361.4832315.952481e-09
0.7495531.4831935.967744e-09
0.751.4831845.971300e-09
0.7514751.4831555.983043e-09
0.7534021.4831175.998380e-09
0.7553341.4830796.013756e-09
0.757271.4830416.029172e-09
0.7592121.4830036.044627e-09
0.7611591.4829656.060122e-09
0.763111.4829286.075656e-09
0.7650671.482896.091231e-09
0.7670281.4828536.106845e-09
0.7689951.4828156.122500e-09
0.7709671.4827786.138194e-09
0.7729431.4827416.153929e-09
0.7749251.4827046.169704e-09
0.7769121.4826676.185520e-09
0.7789041.482636.201376e-09
0.781.482616.210100e-09
0.7809011.4825936.217277e-09
0.7829031.4825576.233225e-09
0.7849111.482526.249213e-09
0.7869231.4824846.265243e-09
0.7889411.4824476.281313e-09
0.7909641.4824116.297425e-09
0.7929921.4823756.313578e-09
0.7950251.4823396.329772e-09
0.7970631.4823026.346008e-09
0.7991071.4822666.362286e-09
0.81.4822516.369400e-09
0.8011561.482236.378600e-09
0.803211.4821956.394951e-09
0.8052691.4821596.411343e-09
0.8073341.4821236.427778e-09
0.8094041.4820886.444255e-09
0.8114791.4820526.460775e-09
0.813561.4820176.477336e-09
0.8156461.4819816.493940e-09
0.8177371.4819466.510587e-09
0.8198341.4819116.527276e-09
0.8219361.4818756.544008e-09
0.8240431.481846.560783e-09
0.8261561.4818056.577602e-09
0.8282741.481776.594463e-09
0.831.4817426.608200e-09
0.8303981.4817356.611369e-09
0.8325271.48176.628327e-09
0.8346621.4816666.645329e-09
0.8368021.4816316.662375e-09
0.8389471.4815966.679464e-09
0.8410981.4815616.696597e-09
0.8432551.4815276.713774e-09
0.8454171.4814926.730995e-09
0.8475841.4814586.748260e-09
0.8497581.4814246.765569e-09
0.851.481426.767500e-09
0.8519361.4813896.782917e-09
0.8541211.4813556.800309e-09
0.8563111.4813216.817745e-09
0.8585061.4812876.835226e-09
0.8607071.4812526.852752e-09
0.8629141.4812186.870323e-09
0.8651271.4811846.887939e-09
0.8673451.481156.905599e-09
0.8695691.4811166.923306e-09
0.8717981.4810826.941057e-09
0.8740331.4810496.958855e-09
0.8762741.4810156.976697e-09
0.8785211.4809816.994586e-09
0.8807741.4809477.012520e-09
0.8830321.4809147.030501e-09
0.8852961.480887.048527e-09
0.8875661.4808467.066600e-09
0.8898421.4808137.084719e-09
0.8921231.4807797.102884e-09
0.8944111.4807467.121096e-09
0.8967041.4807127.139355e-09
0.8990031.4806797.157661e-09
0.91.4806657.165600e-09
0.9013081.4806467.176011e-09
0.9036191.4806127.194406e-09
0.9059361.4805797.212848e-09
0.9082581.4805467.231337e-09
0.9105871.4805127.249874e-09
0.9129221.4804797.268458e-09
0.9152631.4804467.287090e-09
0.9176091.4804137.305770e-09
0.9199621.480387.324498e-09
0.9223211.4803467.343273e-09
0.9246861.4803137.362097e-09
0.9270561.480287.380969e-09
0.9294331.4802477.399890e-09
0.9318161.4802147.418859e-09
0.9342061.4801817.437876e-09
0.9366011.4801487.456943e-09
0.9390021.4801157.476058e-09
0.941411.4800827.495222e-09
0.9438241.4800497.514436e-09
0.9462441.4800167.533698e-09
0.948671.4799847.553010e-09
0.951.4799667.563600e-09
0.9511021.4799517.572374e-09
0.9535411.4799187.591790e-09
0.9559851.4798857.611256e-09
0.9584371.4798527.630772e-09
0.9608941.4798197.650338e-09
0.9633581.4797867.669954e-09
0.9658281.4797537.689620e-09
0.9683041.4797217.709337e-09
0.9707871.4796887.729104e-09
0.9732761.4796557.748922e-09
0.9757711.4796227.768791e-09
0.9782731.4795897.788710e-09
0.9807811.4795577.808681e-09
0.9832961.4795247.828703e-09
0.9858171.4794917.848776e-09
0.9883451.4794587.868901e-09
0.9908791.4794257.889077e-09
0.9934191.4793937.909306e-09
0.9959671.479367.929586e-09
0.998521.4793277.949918e-09
11.4793087.961700e-09
1.001081.4792947.970302e-09
1.003651.4792617.990738e-09
1.006221.4792298.011227e-09
1.00881.4791968.031768e-09
1.011391.4791638.052362e-09
1.013981.479138.073009e-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
—