Optical constants

Refractive index of FCD1 (HOYA)

FCD1: 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
1.497
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.241
Permittivity ε2
1.40068e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
81.608
Chromatic dispersion dn/dλ
-0.0315174 µm⁻¹
Group index ng
1.51552
Group velocity dispersion
54.5572 fs²/mm
Dispersion parameter D
-297.639 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

# FCD1 (HOYA): FCD1
hoya_fcd1 = ls.fetch_refractiveindex("specs", "HOYA-optical", "FCD1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_fcd1.range_nm)  # (365.01, 1013.98) nm
eps = hoya_fcd1.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=2.2181132−0.005799427⁢λ2.0+0.0083470679⁢λ−2.0+6.5046523×10-5⁢λ−4.0+8.5142186×10-6⁢λ−6.0−5.8852269×10-7⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.2181132
C2-0.005799427
C32.0
C40.0083470679
C5-2.0
C66.5046523e-05
C7-4.0
C88.5142186e-06
C9-6.0
C10-5.8852269e-07
C11-8.0

Comments and conditions

Recommended glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.92e-05 -8.39e-09 5.31e-12 3.68e-07 4.15e-10 -0.143
nd
1.49700
Vd
81.61
glass code
497816
glass status
standard
density
value: 3700
thermal expansion
value: 1.32e-05, temperature range: 243 343; value: 1.55e-05, temperature range: 293 573
dPgF
0.0375
resistance
acid: 3.0; stain: 4.0; climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -7.54e-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
FCD1 (HOYA), FCD1: n and k versus wavelength
λ (µm)nk
0.365011.511755.542373e-08
0.3659461.5116255.057900e-08
0.3668841.51154.572184e-08
0.3678251.5113764.085222e-08
0.3687681.5112533.597013e-08
0.3697131.5111313.107551e-08
0.371.5110942.959200e-08
0.3706611.5110092.863739e-08
0.3716121.5108882.726564e-08
0.3725651.5107672.589037e-08
0.373521.5106482.451157e-08
0.3744771.5105282.312924e-08
0.3754381.510412.174336e-08
0.37641.5102922.035393e-08
0.3773651.5101751.896093e-08
0.3783331.5100581.756437e-08
0.3793031.5099421.616422e-08
0.381.5098591.515800e-08
0.3802751.5098271.508312e-08
0.381251.5097121.481801e-08
0.3822281.5095981.455223e-08
0.3832081.5094841.428576e-08
0.384191.5093711.401861e-08
0.3851761.5092591.375077e-08
0.3861631.5091471.348225e-08
0.3871531.5090361.321304e-08
0.3881461.5089261.294314e-08
0.3891411.5088161.267255e-08
0.391.5087221.243900e-08
0.3901391.5087071.248780e-08
0.3911391.5085981.283951e-08
0.3921421.508491.319212e-08
0.3931471.5083831.354563e-08
0.3941551.5082761.390005e-08
0.3951661.5081691.425538e-08
0.3961791.5080641.461162e-08
0.3971951.5079581.496877e-08
0.3982131.5078541.532684e-08
0.3992341.507751.568582e-08
0.41.5076721.595500e-08
0.4002581.5076461.587871e-08
0.4012841.5075431.557530e-08
0.4023131.5074411.527111e-08
0.4033451.5073391.496614e-08
0.4043791.5072381.466039e-08
0.4054161.5071381.435386e-08
0.4064551.5070371.404654e-08
0.4074971.5069381.373843e-08
0.4085421.5068391.342953e-08
0.409591.506741.311984e-08
0.410641.5066421.280936e-08
0.4116931.5065451.249808e-08
0.4127481.5064481.218600e-08
0.4138061.5063521.187312e-08
0.4148671.5062561.155944e-08
0.4159311.5061611.124496e-08
0.4169981.5060661.092967e-08
0.4180671.5059721.061357e-08
0.4191391.5058781.029666e-08
0.421.5058031.004200e-08
0.4202131.5057851.004710e-08
0.4212911.5056921.007285e-08
0.4223711.50561.009866e-08
0.4234541.5055081.012455e-08
0.424541.5054171.015050e-08
0.4256281.5053261.017651e-08
0.4267191.5052361.020259e-08
0.4278131.5051461.022874e-08
0.428911.5050571.025496e-08
0.430011.5049681.028124e-08
0.4311131.504881.030759e-08
0.4322181.5047921.033401e-08
0.4333261.5047041.036050e-08
0.4344371.5046171.038705e-08
0.4355511.5045311.041367e-08
0.4366681.5044451.044036e-08
0.4377871.504361.046712e-08
0.438911.5042751.049395e-08
0.441.5041931.052000e-08
0.4400351.504191.052084e-08
0.4411631.5041061.054781e-08
0.4422951.5040221.057484e-08
0.4434291.5039391.060194e-08
0.4445661.5038561.062912e-08
0.4457051.5037741.065636e-08
0.4468481.5036921.068367e-08
0.4479941.5036111.071105e-08
0.4491431.503531.073851e-08
0.4502941.5034491.076603e-08
0.4514491.5033691.079362e-08
0.4526061.5032891.082129e-08
0.4537671.503211.084902e-08
0.454931.5031311.087683e-08
0.4560971.5030531.090471e-08
0.4572661.5029751.093266e-08
0.4584381.5028971.096068e-08
0.4596141.502821.098877e-08
0.461.5027941.099800e-08
0.4607921.5027431.071374e-08
0.4619741.5026671.028981e-08
0.4631581.5025919.864797e-09
0.4643461.5025159.438690e-09
0.4655361.502449.011491e-09
0.466731.5023658.583196e-09
0.4679271.5022918.153803e-09
0.4691261.5022177.723310e-09
0.4703291.5021437.291712e-09
0.4715351.502076.859008e-09
0.4727441.5019976.425195e-09
0.4739561.5019255.990269e-09
0.4751711.5018535.554228e-09
0.476391.5017815.117069e-09
0.4776111.501714.678789e-09
0.4788361.5016394.239386e-09
0.481.5015723.821600e-09
0.4800631.5015683.822105e-09
0.4812941.5014983.831909e-09
0.4825281.5014283.841738e-09
0.4837651.5013593.851592e-09
0.4850061.501293.861471e-09
0.4862491.5012213.871376e-09
0.4874961.5011533.881306e-09
0.4887461.5010853.891262e-09
0.4899991.5010173.901243e-09
0.4912551.500953.911250e-09
0.4925151.5008833.921282e-09
0.4937781.5008163.931340e-09
0.4950441.500753.941424e-09
0.4963131.5006843.951534e-09
0.4975861.5006183.961670e-09
0.4988611.5005533.971832e-09
0.51.5004953.980900e-09
0.5001411.5004883.982019e-09
0.5014231.5004243.992229e-09
0.5027091.500364.002465e-09
0.5039971.5002964.012728e-09
0.505291.5002324.023016e-09
0.5065851.5001694.033332e-09
0.5078841.5001064.043673e-09
0.5091861.5000434.054041e-09
0.5104921.4999814.064436e-09
0.5118011.4999194.074857e-09
0.5131131.4998574.085305e-09
0.5144291.4997964.095780e-09
0.5157481.4997354.106282e-09
0.517071.4996744.116810e-09
0.5183961.4996144.127366e-09
0.5197251.4995544.137949e-09
0.5210571.4994944.148559e-09
0.5223931.4994354.159196e-09
0.5237331.4993754.169860e-09
0.5250761.4993164.180552e-09
0.5264221.4992584.191271e-09
0.5277721.49924.202017e-09
0.5291251.4991424.212791e-09
0.5304811.4990844.223593e-09
0.5318421.4990264.234422e-09
0.5332051.4989694.245280e-09
0.5345721.4989124.256165e-09
0.5359431.4988564.267077e-09
0.5373171.49884.278018e-09
0.5386951.4987434.288987e-09
0.5400761.4986884.299984e-09
0.5414611.4986324.311010e-09
0.5428491.4985774.322063e-09
0.5442411.4985224.333145e-09
0.5456361.4984684.344255e-09
0.5470351.4984134.355394e-09
0.5484381.4983594.366562e-09
0.5498441.4983054.377758e-09
0.551.4982994.379000e-09
0.5512541.4982524.388980e-09
0.5526671.4981984.400230e-09
0.5540841.4981454.411510e-09
0.5555051.4980924.422818e-09
0.5569291.498044.434156e-09
0.5583571.4979884.445522e-09
0.5597891.4979364.456918e-09
0.5612241.4978844.468343e-09
0.5626631.4978324.479797e-09
0.5641061.4977814.491280e-09
0.5655521.497734.502793e-09
0.5670021.4976794.514336e-09
0.5684561.4976294.525908e-09
0.5699131.4975784.537509e-09
0.5713741.4975284.549141e-09
0.5728391.4974784.560802e-09
0.5743081.4974294.572493e-09
0.5757811.4973794.584214e-09
0.5772571.497334.595966e-09
0.5787371.4972814.607747e-09
0.5802211.4972334.619558e-09
0.5817091.4971844.631400e-09
0.58321.4971364.643272e-09
0.5846951.4970884.655175e-09
0.5861951.497044.667108e-09
0.5876971.4969934.679072e-09
0.5892041.4969464.691066e-09
0.5907151.4968994.703092e-09
0.592231.4968524.715148e-09
0.5937481.4968054.727235e-09
0.595271.4967594.739352e-09
0.5967971.4967124.751501e-09
0.5983271.4966664.763682e-09
0.5998611.4966214.775893e-09
0.61.4966174.777000e-09
0.6013991.4965754.933066e-09
0.6029411.496535.105088e-09
0.6044871.4964855.277551e-09
0.6060371.496445.450456e-09
0.6075911.4963955.623805e-09
0.6091481.496355.797598e-09
0.610711.4963065.971836e-09
0.6122761.4962626.146521e-09
0.6138461.4962186.321655e-09
0.615421.4961746.497237e-09
0.6169981.4961316.673269e-09
0.618581.4960876.849753e-09
0.6201661.4960447.026689e-09
0.6217561.4960017.204079e-09
0.623351.4959587.381923e-09
0.6249481.4959167.560224e-09
0.6265511.4958737.738982e-09
0.6281571.4958317.918198e-09
0.6297681.4957898.097874e-09
0.6313821.4957478.278010e-09
0.6330011.4957068.458608e-09
0.6346241.4956648.639669e-09
0.6362511.4956238.821195e-09
0.6378831.4955829.003186e-09
0.6395181.4955419.185643e-09
0.6411581.49559.368569e-09
0.6428021.495469.551963e-09
0.644451.4954199.735828e-09
0.6461021.4953799.920164e-09
0.6477591.4953391.010497e-08
0.649421.4952991.029025e-08
0.651.4952851.035500e-08
0.6510851.4952591.025126e-08
0.6527541.495221.009161e-08
0.6544281.4951819.931550e-09
0.6561061.4951419.771079e-09
0.6577881.4951029.610197e-09
0.6594741.4950639.448903e-09
0.6611651.4950259.287194e-09
0.6628611.4949869.125072e-09
0.664561.4949488.962533e-09
0.6662641.494918.799578e-09
0.6679721.4948728.636205e-09
0.6696851.4948348.472413e-09
0.6714021.4947968.308201e-09
0.6731231.4947588.143569e-09
0.6748491.4947217.978514e-09
0.676581.4946847.813035e-09
0.6783141.4946467.647133e-09
0.6800531.4946097.480805e-09
0.6817971.4945737.314051e-09
0.6835451.4945367.146869e-09
0.6852981.4944996.979259e-09
0.6870551.4944636.811218e-09
0.6888161.4944276.642747e-09
0.6905831.4943916.473844e-09
0.6923531.4943556.304508e-09
0.6941281.4943196.134738e-09
0.6959081.4942835.964532e-09
0.6976921.4942485.793890e-09
0.6994811.4942125.622811e-09
0.71.4942025.573200e-09
0.7012751.4941775.583349e-09
0.7030731.4941425.597665e-09
0.7048751.4941075.612018e-09
0.7066831.4940725.626407e-09
0.7084951.4940375.640834e-09
0.7103111.4940035.655297e-09
0.7121321.4939685.669798e-09
0.7139581.4939345.684336e-09
0.7157891.49395.698911e-09
0.7176241.4938665.713523e-09
0.7194641.4938325.728173e-09
0.7213091.4937985.742860e-09
0.7231581.4937645.757585e-09
0.7250121.4937315.772348e-09
0.7268711.4936975.787148e-09
0.7287351.4936645.801987e-09
0.7306031.4936315.816864e-09
0.7324771.4935975.831778e-09
0.7343551.4935655.846731e-09
0.7362371.4935325.861723e-09
0.7381251.4934995.876752e-09
0.7400181.4934665.891821e-09
0.7419151.4934345.906928e-09
0.7438171.4934015.922073e-09
0.7457241.4933695.937258e-09
0.7476361.4933375.952481e-09
0.7495531.4933055.967744e-09
0.751.4932985.971300e-09
0.7514751.4932735.983043e-09
0.7534021.4932415.998380e-09
0.7553341.493216.013756e-09
0.757271.4931786.029172e-09
0.7592121.4931476.044627e-09
0.7611591.4931156.060122e-09
0.763111.4930846.075656e-09
0.7650671.4930536.091231e-09
0.7670281.4930226.106845e-09
0.7689951.4929916.122500e-09
0.7709671.492966.138194e-09
0.7729431.4929296.153929e-09
0.7749251.4928986.169704e-09
0.7769121.4928686.185520e-09
0.7789041.4928376.201376e-09
0.781.4928216.210100e-09
0.7809011.4928076.217277e-09
0.7829031.4927776.233225e-09
0.7849111.4927476.249213e-09
0.7869231.4927176.265243e-09
0.7889411.4926876.281313e-09
0.7909641.4926576.297425e-09
0.7929921.4926276.313578e-09
0.7950251.4925976.329772e-09
0.7970631.4925686.346008e-09
0.7991071.4925386.362286e-09
0.81.4925256.369400e-09
0.8011561.4925096.378600e-09
0.803211.4924796.394951e-09
0.8052691.492456.411343e-09
0.8073341.4924216.427778e-09
0.8094041.4923926.444255e-09
0.8114791.4923636.460775e-09
0.813561.4923346.477336e-09
0.8156461.4923056.493940e-09
0.8177371.4922766.510587e-09
0.8198341.4922486.527276e-09
0.8219361.4922196.544008e-09
0.8240431.4921916.560783e-09
0.8261561.4921626.577602e-09
0.8282741.4921346.594463e-09
0.831.4921116.608200e-09
0.8303981.4921066.611369e-09
0.8325271.4920776.628327e-09
0.8346621.4920496.645329e-09
0.8368021.4920216.662375e-09
0.8389471.4919936.679464e-09
0.8410981.4919656.696597e-09
0.8432551.4919386.713774e-09
0.8454171.491916.730995e-09
0.8475841.4918826.748260e-09
0.8497581.4918556.765569e-09
0.851.4918526.767500e-09
0.8519361.4918276.782917e-09
0.8541211.49186.800309e-09
0.8563111.4917726.817745e-09
0.8585061.4917456.835226e-09
0.8607071.4917186.852752e-09
0.8629141.4916916.870323e-09
0.8651271.4916636.887939e-09
0.8673451.4916366.905599e-09
0.8695691.4916096.923306e-09
0.8717981.4915826.941057e-09
0.8740331.4915566.958855e-09
0.8762741.4915296.976697e-09
0.8785211.4915026.994586e-09
0.8807741.4914757.012520e-09
0.8830321.4914497.030501e-09
0.8852961.4914227.048527e-09
0.8875661.4913967.066600e-09
0.8898421.4913697.084719e-09
0.8921231.4913437.102884e-09
0.8944111.4913167.121096e-09
0.8967041.491297.139355e-09
0.8990031.4912647.157661e-09
0.91.4912537.165600e-09
0.9013081.4912387.176011e-09
0.9036191.4912127.194406e-09
0.9059361.4911867.212848e-09
0.9082581.491167.231337e-09
0.9105871.4911347.249874e-09
0.9129221.4911087.268458e-09
0.9152631.4910827.287090e-09
0.9176091.4910567.305770e-09
0.9199621.491037.324498e-09
0.9223211.4910057.343273e-09
0.9246861.4909797.362097e-09
0.9270561.4909537.380969e-09
0.9294331.4909287.399890e-09
0.9318161.4909027.418859e-09
0.9342061.4908777.437876e-09
0.9366011.4908517.456943e-09
0.9390021.4908267.476058e-09
0.941411.49087.495222e-09
0.9438241.4907757.514436e-09
0.9462441.490757.533698e-09
0.948671.4907257.553010e-09
0.951.4907117.563600e-09
0.9511021.4906997.572374e-09
0.9535411.4906747.591790e-09
0.9559851.4906497.611256e-09
0.9584371.4906247.630772e-09
0.9608941.4905997.650338e-09
0.9633581.4905747.669954e-09
0.9658281.4905497.689620e-09
0.9683041.4905247.709337e-09
0.9707871.4904997.729104e-09
0.9732761.4904747.748922e-09
0.9757711.4904497.768791e-09
0.9782731.4904247.788710e-09
0.9807811.49047.808681e-09
0.9832961.4903757.828703e-09
0.9858171.490357.848776e-09
0.9883451.4903257.868901e-09
0.9908791.4903017.889077e-09
0.9934191.4902767.909306e-09
0.9959671.4902517.929586e-09
0.998521.4902277.949918e-09
11.4902137.961700e-09
1.001081.4902027.970302e-09
1.003651.4901787.990738e-09
1.006221.4901538.011227e-09
1.00881.4901298.031768e-09
1.011391.4901048.052362e-09
1.013981.490088.073009e-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
—