Optical constants

Refractive index of FCD1B (HOYA)

FCD1B: 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
1.4971
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.24131
Permittivity ε2
1.40078e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
81.56
Chromatic dispersion dn/dλ
-0.0315442 µm⁻¹
Group index ng
1.51564
Group velocity dispersion
54.588 fs²/mm
Dispersion parameter D
-297.807 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

# FCD1B (HOYA): FCD1B
hoya_fcd1b = ls.fetch_refractiveindex("specs", "HOYA-optical", "FCD1B", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_fcd1b.range_nm)  # (365.01, 1013.98) nm
eps = hoya_fcd1b.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=2.2189068−0.0061707065⁢λ2.0+0.0080887631⁢λ−2.0+0.00013357782⁢λ−4.0+1.9476186×10-7⁢λ−6.0−2.2577804×10-7⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.2189068
C2-0.0061707065
C32.0
C40.0080887631
C5-2.0
C60.00013357782
C7-4.0
C81.9476186e-07
C9-6.0
C10-2.2577804e-07
C11-8.0

Comments and conditions

General glass Type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.75e-05 -5.28e-09 2.39e-11 3.52e-07 1.97e-10 0.186
nd
1.49710
Vd
81.56
glass code
497816
density
value: 3640
thermal expansion
value: 1.29e-05, temperature range: 243 343; value: 1.63e-05, temperature range: 293 573
dPgF
0.0369
resistance
acid: 3.0; stain: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -6.84e-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
FCD1B (HOYA), FCD1B: n and k versus wavelength
λ (µm)nk
0.365011.5118491.333893e-07
0.3659461.5117241.240547e-07
0.3668841.51161.146961e-07
0.3678251.5114761.053136e-07
0.3687681.5113539.590704e-08
0.3697131.5112318.647635e-08
0.371.5111948.361800e-08
0.3706611.5111098.070478e-08
0.3716121.5109887.651852e-08
0.3725651.5108687.232153e-08
0.373521.5107496.811378e-08
0.3744771.510636.389524e-08
0.3754381.5105115.966589e-08
0.37641.5103935.542569e-08
0.3773651.5102765.117462e-08
0.3783331.510164.691264e-08
0.3793031.5100444.263975e-08
0.381.5099613.956900e-08
0.3802751.5099293.907967e-08
0.381251.5098143.734727e-08
0.3822281.50973.561042e-08
0.3832081.5095873.386912e-08
0.384191.5094743.212336e-08
0.3851761.5093623.037312e-08
0.3861631.5092512.861839e-08
0.3871531.509142.685916e-08
0.3881461.509032.509542e-08
0.3891411.508922.332716e-08
0.391.5088262.180100e-08
0.3901391.5088112.167548e-08
0.3911391.5087032.077090e-08
0.3921421.5085951.986401e-08
0.3931471.5084871.895479e-08
0.3941551.5083811.804324e-08
0.3951661.5082741.712936e-08
0.3961791.5081691.621313e-08
0.3971951.5080641.529455e-08
0.3982131.5079591.437361e-08
0.3992341.5078561.345032e-08
0.41.5077781.275800e-08
0.4002581.5077521.280954e-08
0.4012841.507651.301454e-08
0.4023131.5075471.322006e-08
0.4033451.5074461.342610e-08
0.4043791.5073451.363268e-08
0.4054161.5072441.383978e-08
0.4064551.5071441.404741e-08
0.4074971.5070451.425558e-08
0.4085421.5069461.446428e-08
0.409591.5068471.467352e-08
0.410641.506751.488329e-08
0.4116931.5066521.509360e-08
0.4127481.5065561.530445e-08
0.4138061.5064591.551584e-08
0.4148671.5063641.572777e-08
0.4159311.5062681.594025e-08
0.4169981.5061741.615327e-08
0.4180671.5060791.636683e-08
0.4191391.5059861.658095e-08
0.421.5059111.675300e-08
0.4202131.5058931.672400e-08
0.4212911.50581.657753e-08
0.4223711.5057081.643068e-08
0.4234541.5056161.628345e-08
0.424541.5055251.613585e-08
0.4256281.5054341.598786e-08
0.4267191.5053441.583950e-08
0.4278131.5052541.569076e-08
0.428911.5051651.554164e-08
0.430011.5050761.539213e-08
0.4311131.5049881.524224e-08
0.4322181.50491.509197e-08
0.4333261.5048131.494131e-08
0.4344371.5047261.479026e-08
0.4355511.504641.463883e-08
0.4366681.5045541.448701e-08
0.4377871.5044681.433480e-08
0.438911.5043831.418220e-08
0.441.5043011.403400e-08
0.4400351.5042991.402865e-08
0.4411631.5042151.385738e-08
0.4422951.5041311.368568e-08
0.4434291.5040481.351353e-08
0.4445661.5039651.334095e-08
0.4457051.5038831.316792e-08
0.4468481.5038011.299444e-08
0.4479941.503721.282053e-08
0.4491431.5036391.264616e-08
0.4502941.5035581.247135e-08
0.4514491.5034781.229609e-08
0.4526061.5033981.212038e-08
0.4537671.5033191.194422e-08
0.454931.503241.176761e-08
0.4560971.5031621.159055e-08
0.4572661.5030841.141303e-08
0.4584381.5030061.123506e-08
0.4596141.5029291.105663e-08
0.461.5029041.099800e-08
0.4607921.5028521.086527e-08
0.4619741.5027761.066732e-08
0.4631581.50271.046887e-08
0.4643461.5026241.026991e-08
0.4655361.5025491.007043e-08
0.466731.5024749.870448e-09
0.4679271.50249.669950e-09
0.4691261.5023269.468938e-09
0.4703291.5022529.267411e-09
0.4715351.5021799.065367e-09
0.4727441.5021068.862805e-09
0.4739561.5020348.659724e-09
0.4751711.5019628.456122e-09
0.476391.501898.251998e-09
0.4776111.5018198.047350e-09
0.4788361.5017487.842178e-09
0.481.5016817.647100e-09
0.4800631.5016777.635481e-09
0.4812941.5016077.409850e-09
0.4825281.5015377.183642e-09
0.4837651.5014676.956853e-09
0.4850061.5013986.729483e-09
0.4862491.501336.501530e-09
0.4874961.5012616.272992e-09
0.4887461.5011936.043868e-09
0.4899991.5011255.814157e-09
0.4912551.5010585.583857e-09
0.4925151.5009915.352967e-09
0.4937781.5009255.121484e-09
0.4950441.5008584.889408e-09
0.4963131.5007924.656737e-09
0.4975861.5007274.423470e-09
0.4988611.5006614.189604e-09
0.51.5006043.980900e-09
0.5001411.5005963.982019e-09
0.5014231.5005323.992229e-09
0.5027091.5004684.002465e-09
0.5039971.5004044.012728e-09
0.505291.500344.023016e-09
0.5065851.5002774.033332e-09
0.5078841.5002144.043673e-09
0.5091861.5001514.054041e-09
0.5104921.5000894.064436e-09
0.5118011.5000274.074857e-09
0.5131131.4999654.085305e-09
0.5144291.4999044.095780e-09
0.5157481.4998434.106282e-09
0.517071.4997824.116810e-09
0.5183961.4997214.127366e-09
0.5197251.4996614.137949e-09
0.5210571.4996014.148559e-09
0.5223931.4995424.159196e-09
0.5237331.4994834.169860e-09
0.5250761.4994244.180552e-09
0.5264221.4993654.191271e-09
0.5277721.4993074.202017e-09
0.5291251.4992494.212791e-09
0.5304811.4991914.223593e-09
0.5318421.4991334.234422e-09
0.5332051.4990764.245280e-09
0.5345721.4990194.256165e-09
0.5359431.4989634.267077e-09
0.5373171.4989064.278018e-09
0.5386951.498854.288987e-09
0.5400761.4987954.299984e-09
0.5414611.4987394.311010e-09
0.5428491.4986844.322063e-09
0.5442411.4986294.333145e-09
0.5456361.4985744.344255e-09
0.5470351.498524.355394e-09
0.5484381.4984664.366562e-09
0.5498441.4984124.377758e-09
0.551.4984064.379000e-09
0.5512541.4983584.388980e-09
0.5526671.4983054.400230e-09
0.5540841.4982524.411510e-09
0.5555051.4981994.422818e-09
0.5569291.4981464.434156e-09
0.5583571.4980944.445522e-09
0.5597891.4980424.456918e-09
0.5612241.497994.468343e-09
0.5626631.4979384.479797e-09
0.5641061.4978874.491280e-09
0.5655521.4978364.502793e-09
0.5670021.4977854.514336e-09
0.5684561.4977354.525908e-09
0.5699131.4976844.537509e-09
0.5713741.4976344.549141e-09
0.5728391.4975844.560802e-09
0.5743081.4975354.572493e-09
0.5757811.4974854.584214e-09
0.5772571.4974364.595966e-09
0.5787371.4973874.607747e-09
0.5802211.4973384.619558e-09
0.5817091.497294.631400e-09
0.58321.4972424.643272e-09
0.5846951.4971944.655175e-09
0.5861951.4971464.667108e-09
0.5876971.4970984.679072e-09
0.5892041.4970514.691066e-09
0.5907151.4970044.703092e-09
0.592231.4969574.715148e-09
0.5937481.496914.727235e-09
0.595271.4968644.739352e-09
0.5967971.4968184.751501e-09
0.5983271.4967724.763682e-09
0.5998611.4967264.775893e-09
0.61.4967224.777000e-09
0.6013991.496684.933066e-09
0.6029411.4966355.105088e-09
0.6044871.496595.277551e-09
0.6060371.4965455.450456e-09
0.6075911.49655.623805e-09
0.6091481.4964555.797598e-09
0.610711.4964115.971836e-09
0.6122761.4963676.146521e-09
0.6138461.4963236.321655e-09
0.615421.4962796.497237e-09
0.6169981.4962356.673269e-09
0.618581.4961926.849753e-09
0.6201661.4961497.026689e-09
0.6217561.4961067.204079e-09
0.623351.4960637.381923e-09
0.6249481.496027.560224e-09
0.6265511.4959787.738982e-09
0.6281571.4959367.918198e-09
0.6297681.4958948.097874e-09
0.6313821.4958528.278010e-09
0.6330011.495818.458608e-09
0.6346241.4957698.639669e-09
0.6362511.4957278.821195e-09
0.6378831.4956869.003186e-09
0.6395181.4956459.185643e-09
0.6411581.4956049.368569e-09
0.6428021.4955649.551963e-09
0.644451.4955239.735828e-09
0.6461021.4954839.920164e-09
0.6477591.4954431.010497e-08
0.649421.4954031.029025e-08
0.651.4953891.035500e-08
0.6510851.4953631.037229e-08
0.6527541.4953241.039890e-08
0.6544281.4952841.042558e-08
0.6561061.4952451.045232e-08
0.6577881.4952061.047914e-08
0.6594741.4951671.050602e-08
0.6611651.4951281.053298e-08
0.6628611.495091.056000e-08
0.664561.4950511.058709e-08
0.6662641.4950131.061425e-08
0.6679721.4949751.064148e-08
0.6696851.4949371.066878e-08
0.6714021.4948991.069615e-08
0.6731231.4948611.072359e-08
0.6748491.4948241.075110e-08
0.676581.4947871.077868e-08
0.6783141.4947491.080633e-08
0.6800531.4947121.083405e-08
0.6817971.4946751.086185e-08
0.6835451.4946391.088971e-08
0.6852981.4946021.091765e-08
0.6870551.4945661.094565e-08
0.6888161.4945291.097373e-08
0.6905831.4944931.100189e-08
0.6923531.4944571.103011e-08
0.6941281.4944211.105841e-08
0.6959081.4943851.108678e-08
0.6976921.494351.111522e-08
0.6994811.4943141.114373e-08
0.71.4943041.115200e-08
0.7012751.4942791.101992e-08
0.7030731.4942441.083362e-08
0.7048751.4942091.064684e-08
0.7066831.4941741.045958e-08
0.7084951.4941391.027184e-08
0.7103111.4941041.008362e-08
0.7121321.494079.894918e-09
0.7139581.4940369.705730e-09
0.7157891.4940019.516058e-09
0.7176241.4939679.325900e-09
0.7194641.4939339.135254e-09
0.7213091.4938998.944119e-09
0.7231581.4938658.752494e-09
0.7250121.4938328.560377e-09
0.7268711.4937988.367769e-09
0.7287351.4937658.174666e-09
0.7306031.4937327.981068e-09
0.7324771.4936987.786974e-09
0.7343551.4936657.592382e-09
0.7362371.4936327.397291e-09
0.7381251.49367.201700e-09
0.7400181.4935677.005608e-09
0.7419151.4935346.809012e-09
0.7438171.4935026.611913e-09
0.7457241.493476.414308e-09
0.7476361.4934376.216197e-09
0.7495531.4934056.017578e-09
0.751.4933985.971300e-09
0.7514751.4933735.983043e-09
0.7534021.4933415.998380e-09
0.7553341.4933096.013756e-09
0.757271.4932786.029172e-09
0.7592121.4932466.044627e-09
0.7611591.4932156.060122e-09
0.763111.4931836.075656e-09
0.7650671.4931526.091231e-09
0.7670281.4931216.106845e-09
0.7689951.493096.122500e-09
0.7709671.4930596.138194e-09
0.7729431.4930286.153929e-09
0.7749251.4929976.169704e-09
0.7769121.4929676.185520e-09
0.7789041.4929366.201376e-09
0.781.4929196.210100e-09
0.7809011.4929056.217277e-09
0.7829031.4928756.233225e-09
0.7849111.4928456.249213e-09
0.7869231.4928156.265243e-09
0.7889411.4927856.281313e-09
0.7909641.4927546.297425e-09
0.7929921.4927256.313578e-09
0.7950251.4926956.329772e-09
0.7970631.4926656.346008e-09
0.7991071.4926356.362286e-09
0.81.4926226.369400e-09
0.8011561.4926066.378600e-09
0.803211.4925766.394951e-09
0.8052691.4925476.411343e-09
0.8073341.4925186.427778e-09
0.8094041.4924886.444255e-09
0.8114791.4924596.460775e-09
0.813561.492436.477336e-09
0.8156461.4924016.493940e-09
0.8177371.4923726.510587e-09
0.8198341.4923436.527276e-09
0.8219361.4923156.544008e-09
0.8240431.4922866.560783e-09
0.8261561.4922586.577602e-09
0.8282741.4922296.594463e-09
0.831.4922066.608200e-09
0.8303981.4922016.611369e-09
0.8325271.4921726.628327e-09
0.8346621.4921446.645329e-09
0.8368021.4921166.662375e-09
0.8389471.4920886.679464e-09
0.8410981.492066.696597e-09
0.8432551.4920326.713774e-09
0.8454171.4920046.730995e-09
0.8475841.4919766.748260e-09
0.8497581.4919486.765569e-09
0.851.4919456.767500e-09
0.8519361.491926.782917e-09
0.8541211.4918936.800309e-09
0.8563111.4918656.817745e-09
0.8585061.4918386.835226e-09
0.8607071.491816.852752e-09
0.8629141.4917836.870323e-09
0.8651271.4917556.887939e-09
0.8673451.4917286.905599e-09
0.8695691.4917016.923306e-09
0.8717981.4916746.941057e-09
0.8740331.4916476.958855e-09
0.8762741.491626.976697e-09
0.8785211.4915936.994586e-09
0.8807741.4915667.012520e-09
0.8830321.4915397.030501e-09
0.8852961.4915127.048527e-09
0.8875661.4914857.066600e-09
0.8898421.4914597.084719e-09
0.8921231.4914327.102884e-09
0.8944111.4914057.121096e-09
0.8967041.4913797.139355e-09
0.8990031.4913527.157661e-09
0.91.4913417.165600e-09
0.9013081.4913267.176011e-09
0.9036191.49137.194406e-09
0.9059361.4912737.212848e-09
0.9082581.4912477.231337e-09
0.9105871.4912217.249874e-09
0.9129221.4911957.268458e-09
0.9152631.4911697.287090e-09
0.9176091.4911427.305770e-09
0.9199621.4911167.324498e-09
0.9223211.491097.343273e-09
0.9246861.4910647.362097e-09
0.9270561.4910397.380969e-09
0.9294331.4910137.399890e-09
0.9318161.4909877.418859e-09
0.9342061.4909617.437876e-09
0.9366011.4909357.456943e-09
0.9390021.490917.476058e-09
0.941411.4908847.495222e-09
0.9438241.4908587.514436e-09
0.9462441.4908337.533698e-09
0.948671.4908077.553010e-09
0.951.4907937.563600e-09
0.9511021.4907827.572374e-09
0.9535411.4907567.591790e-09
0.9559851.4907317.611256e-09
0.9584371.4907057.630772e-09
0.9608941.490687.650338e-09
0.9633581.4906557.669954e-09
0.9658281.4906297.689620e-09
0.9683041.4906047.709337e-09
0.9707871.4905797.729104e-09
0.9732761.4905537.748922e-09
0.9757711.4905287.768791e-09
0.9782731.4905037.788710e-09
0.9807811.4904787.808681e-09
0.9832961.4904537.828703e-09
0.9858171.4904287.848776e-09
0.9883451.4904037.868901e-09
0.9908791.4903777.889077e-09
0.9934191.4903527.909306e-09
0.9959671.4903277.929586e-09
0.998521.4903027.949918e-09
11.4902887.961700e-09
1.001081.4902787.970302e-09
1.003651.4902537.990738e-09
1.006221.4902288.011227e-09
1.00881.4902038.031768e-09
1.011391.4901788.052362e-09
1.013981.4901538.073009e-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
—