Optical constants

Refractive index of FCD10A (HOYA)

FCD10A: 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
1.4586
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.1275
Permittivity ε2
1.36475e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
90.195
Chromatic dispersion dn/dλ
-0.0263659 µm⁻¹
Group index ng
1.47409
Group velocity dispersion
45.1428 fs²/mm
Dispersion parameter D
-246.278 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

# FCD10A (HOYA): FCD10A
hoya_fcd10a = ls.fetch_refractiveindex("specs", "HOYA-optical", "FCD10A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_fcd10a.range_nm)  # (365.01, 1013.98) nm
eps = hoya_fcd10a.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=2.1085888−0.0046553722⁢λ2.0+0.006954748⁢λ−2.0+3.2184141×10-5⁢λ−4.0+5.2670946×10-6⁢λ−6.0−2.7164844×10-7⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.1085888
C2-0.0046553722
C32.0
C40.006954748
C5-2.0
C63.2184141e-05
C7-4.0
C85.2670946e-06
C9-6.0
C10-2.7164844e-07
C11-8.0

Comments and conditions

Recommended glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.04e-05 -8.81e-09 1.3e-11 3.44e-07 7.67e-11 0.154
nd
1.45860
Vd
90.20
glass code
459902
glass status
standard
density
value: 3630
thermal expansion
value: 1.33e-05, temperature range: 243 343; value: 1.65e-05, temperature range: 293 573
dPgF
0.0494
resistance
acid: 2.0; stain: 5.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -7.52e-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
FCD10A (HOYA), FCD10A: n and k versus wavelength
λ (µm)nk
0.365011.4708327.178581e-08
0.3659461.4707286.779085e-08
0.3668841.4706256.378564e-08
0.3678251.4705235.977017e-08
0.3687681.4704215.574439e-08
0.3697131.470325.170830e-08
0.371.4702895.048500e-08
0.3706611.4702194.915613e-08
0.3716121.4701194.724657e-08
0.3725651.4700194.533210e-08
0.373521.469924.341273e-08
0.3744771.4698214.148844e-08
0.3754381.4697233.955922e-08
0.37641.4696263.762505e-08
0.3773651.4695293.568591e-08
0.3783331.4694323.374181e-08
0.3793031.4693363.179272e-08
0.381.4692683.039200e-08
0.3802751.4692413.006937e-08
0.381251.4691462.892714e-08
0.3822281.4690522.778198e-08
0.3832081.4689582.663389e-08
0.384191.4688642.548285e-08
0.3851761.4687722.432886e-08
0.3861631.4686792.317192e-08
0.3871531.4685882.201200e-08
0.3881461.4684962.084912e-08
0.3891411.4684051.968325e-08
0.391.4683281.867700e-08
0.3901391.4683151.863922e-08
0.3911391.4682251.836693e-08
0.3921421.4681361.809395e-08
0.3931471.4680471.782027e-08
0.3941551.4679591.754589e-08
0.3951661.4678711.727081e-08
0.3961791.4677841.699501e-08
0.3971951.4676971.671852e-08
0.3982131.467611.644131e-08
0.3992341.4675241.616339e-08
0.41.467461.595500e-08
0.4002581.4674391.592198e-08
0.4012841.4673541.579067e-08
0.4023131.4672691.565903e-08
0.4033451.4671851.552705e-08
0.4043791.4671011.539473e-08
0.4054161.4670181.526207e-08
0.4064551.4669361.512907e-08
0.4074971.4668531.499572e-08
0.4085421.4667711.486204e-08
0.409591.466691.472801e-08
0.410641.4666091.459364e-08
0.4116931.4665291.445893e-08
0.4127481.4664481.432387e-08
0.4138061.4663691.418846e-08
0.4148671.466291.405271e-08
0.4159311.4662111.391661e-08
0.4169981.4661321.378016e-08
0.4180671.4660541.364336e-08
0.4191391.4659771.350621e-08
0.421.4659151.339600e-08
0.4202131.46591.340280e-08
0.4212911.4658231.343717e-08
0.4223711.4657471.347163e-08
0.4234541.4656711.350618e-08
0.424541.4655951.354081e-08
0.4256281.465521.357554e-08
0.4267191.4654461.361035e-08
0.4278131.4653711.364525e-08
0.428911.4652981.368024e-08
0.430011.4652241.371532e-08
0.4311131.4651511.375049e-08
0.4322181.4650781.378575e-08
0.4333261.4650061.382110e-08
0.4344371.4649341.385655e-08
0.4355511.4648631.389208e-08
0.4366681.4647921.392770e-08
0.4377871.4647211.396342e-08
0.438911.464651.399923e-08
0.441.4645831.403400e-08
0.4400351.464581.402865e-08
0.4411631.4645111.385738e-08
0.4422951.4644411.368568e-08
0.4434291.4643731.351353e-08
0.4445661.4643041.334095e-08
0.4457051.4642361.316792e-08
0.4468481.4641681.299444e-08
0.4479941.4641011.282053e-08
0.4491431.4640331.264616e-08
0.4502941.4639671.247135e-08
0.4514491.46391.229609e-08
0.4526061.4638341.212038e-08
0.4537671.4637681.194422e-08
0.454931.4637031.176761e-08
0.4560971.4636381.159055e-08
0.4572661.4635731.141303e-08
0.4584381.4635091.123506e-08
0.4596141.4634451.105663e-08
0.461.4634241.099800e-08
0.4607921.4633811.071374e-08
0.4619741.4633181.028981e-08
0.4631581.4632559.864797e-09
0.4643461.4631929.438690e-09
0.4655361.463139.011491e-09
0.466731.4630688.583196e-09
0.4679271.4630068.153803e-09
0.4691261.4629457.723310e-09
0.4703291.4628847.291712e-09
0.4715351.4628236.859008e-09
0.4727441.4627636.425195e-09
0.4739561.4627035.990269e-09
0.4751711.4626435.554228e-09
0.476391.4625835.117069e-09
0.4776111.4625244.678789e-09
0.4788361.4624654.239386e-09
0.481.462413.821600e-09
0.4800631.4624073.822105e-09
0.4812941.4623483.831909e-09
0.4825281.462293.841738e-09
0.4837651.4622333.851592e-09
0.4850061.4621753.861471e-09
0.4862491.4621183.871376e-09
0.4874961.4620623.881306e-09
0.4887461.4620053.891262e-09
0.4899991.4619493.901243e-09
0.4912551.4618933.911250e-09
0.4925151.4618373.921282e-09
0.4937781.4617823.931340e-09
0.4950441.4617273.941424e-09
0.4963131.4616723.951534e-09
0.4975861.4616173.961670e-09
0.4988611.4615633.971832e-09
0.51.4615153.980900e-09
0.5001411.4615093.982019e-09
0.5014231.4614563.992229e-09
0.5027091.4614024.002465e-09
0.5039971.4613494.012728e-09
0.505291.4612964.023016e-09
0.5065851.4612434.033332e-09
0.5078841.4611914.043673e-09
0.5091861.4611394.054041e-09
0.5104921.4610874.064436e-09
0.5118011.4610354.074857e-09
0.5131131.4609844.085305e-09
0.5144291.4609334.095780e-09
0.5157481.4608824.106282e-09
0.517071.4608324.116810e-09
0.5183961.4607814.127366e-09
0.5197251.4607314.137949e-09
0.5210571.4606824.148559e-09
0.5223931.4606324.159196e-09
0.5237331.4605834.169860e-09
0.5250761.4605344.180552e-09
0.5264221.4604854.191271e-09
0.5277721.4604364.202017e-09
0.5291251.4603884.212791e-09
0.5304811.460344.223593e-09
0.5318421.4602924.234422e-09
0.5332051.4602444.245280e-09
0.5345721.4601974.256165e-09
0.5359431.460154.267077e-09
0.5373171.4601034.278018e-09
0.5386951.4600564.288987e-09
0.5400761.4600094.299984e-09
0.5414611.4599634.311010e-09
0.5428491.4599174.322063e-09
0.5442411.4598714.333145e-09
0.5456361.4598264.344255e-09
0.5470351.459784.355394e-09
0.5484381.4597354.366562e-09
0.5498441.459694.377758e-09
0.551.4596854.379000e-09
0.5512541.4596454.388980e-09
0.5526671.4596014.400230e-09
0.5540841.4595574.411510e-09
0.5555051.4595134.422818e-09
0.5569291.4594694.434156e-09
0.5583571.4594254.445522e-09
0.5597891.4593824.456918e-09
0.5612241.4593384.468343e-09
0.5626631.4592954.479797e-09
0.5641061.4592524.491280e-09
0.5655521.459214.502793e-09
0.5670021.4591674.514336e-09
0.5684561.4591254.525908e-09
0.5699131.4590834.537509e-09
0.5713741.4590414.549141e-09
0.5728391.4594.560802e-09
0.5743081.4589584.572493e-09
0.5757811.4589174.584214e-09
0.5772571.4588764.595966e-09
0.5787371.4588354.607747e-09
0.5802211.4587944.619558e-09
0.5817091.4587544.631400e-09
0.58321.4587134.643272e-09
0.5846951.4586734.655175e-09
0.5861951.4586334.667108e-09
0.5876971.4585944.679072e-09
0.5892041.4585544.691066e-09
0.5907151.4585154.703092e-09
0.592231.4584754.715148e-09
0.5937481.4584364.727235e-09
0.595271.4583984.739352e-09
0.5967971.4583594.751501e-09
0.5983271.458324.763682e-09
0.5998611.4582824.775893e-09
0.61.4582794.777000e-09
0.6013991.4582444.788138e-09
0.6029411.4582064.800416e-09
0.6044871.4581684.812724e-09
0.6060371.4581314.825064e-09
0.6075911.4580934.837436e-09
0.6091481.4580564.849840e-09
0.610711.4580194.862275e-09
0.6122761.4579824.874742e-09
0.6138461.4579454.887241e-09
0.615421.4579084.899773e-09
0.6169981.4578724.912336e-09
0.618581.4578354.924932e-09
0.6201661.4577994.937560e-09
0.6217561.4577634.950220e-09
0.623351.4577274.962913e-09
0.6249481.4576924.975638e-09
0.6265511.4576564.988396e-09
0.6281571.4576215.001186e-09
0.6297681.4575865.014010e-09
0.6313821.4575515.026866e-09
0.6330011.4575165.039755e-09
0.6346241.4574815.052677e-09
0.6362511.4574465.065633e-09
0.6378831.4574125.078621e-09
0.6395181.4573785.091643e-09
0.6411581.4573435.104699e-09
0.6428021.4573095.117788e-09
0.644451.4572765.130910e-09
0.6461021.4572425.144066e-09
0.6477591.4572085.157256e-09
0.649421.4571755.170479e-09
0.651.4571635.175100e-09
0.6510851.4571415.183737e-09
0.6527541.4571085.197028e-09
0.6544281.4570755.210354e-09
0.6561061.4570425.223713e-09
0.6577881.457015.237107e-09
0.6594741.4569775.250535e-09
0.6611651.4569455.263998e-09
0.6628611.4569125.277495e-09
0.664561.456885.291027e-09
0.6662641.4568485.304594e-09
0.6679721.4568165.318195e-09
0.6696851.4567845.331831e-09
0.6714021.4567525.345502e-09
0.6731231.4567215.359209e-09
0.6748491.4566895.372950e-09
0.676581.4566585.386727e-09
0.6783141.4566275.400539e-09
0.6800531.4565965.414386e-09
0.6817971.4565655.428269e-09
0.6835451.4565345.442187e-09
0.6852981.4565045.456141e-09
0.6870551.4564735.470131e-09
0.6888161.4564435.484157e-09
0.6905831.4564125.498219e-09
0.6923531.4563825.512316e-09
0.6941281.4563525.526450e-09
0.6959081.4563225.540620e-09
0.6976921.4562925.554827e-09
0.6994811.4562625.569070e-09
0.71.4562545.573200e-09
0.7012751.4562335.735745e-09
0.7030731.4562035.965024e-09
0.7048751.4561746.194892e-09
0.7066831.4561456.425348e-09
0.7084951.4561156.656396e-09
0.7103111.4560866.888036e-09
0.7121321.4560577.120270e-09
0.7139581.4560297.353100e-09
0.7157891.4567.586526e-09
0.7176241.4559717.820551e-09
0.7194641.4559438.055176e-09
0.7213091.4559148.290402e-09
0.7231581.4558868.526232e-09
0.7250121.4558588.762666e-09
0.7268711.455838.999707e-09
0.7287351.4558029.237355e-09
0.7306031.4557749.475612e-09
0.7324771.4557469.714481e-09
0.7343551.4557189.953962e-09
0.7362371.4556911.019406e-08
0.7381251.4556631.043477e-08
0.7400181.4556361.067610e-08
0.7419151.4556081.091804e-08
0.7438171.4555811.116061e-08
0.7457241.4555541.140380e-08
0.7476361.4555271.164761e-08
0.7495531.45551.189205e-08
0.751.4554941.194900e-08
0.7514751.4554731.197250e-08
0.7534021.4554471.200320e-08
0.7553341.455421.203398e-08
0.757271.4553931.206484e-08
0.7592121.4553671.209578e-08
0.7611591.4553411.212679e-08
0.763111.4553141.215789e-08
0.7650671.4552881.218906e-08
0.7670281.4552621.222032e-08
0.7689951.4552361.225165e-08
0.7709671.455211.228307e-08
0.7729431.4551841.231456e-08
0.7749251.4551581.234614e-08
0.7769121.4551331.237780e-08
0.7789041.4551071.240954e-08
0.781.4550931.242700e-08
0.7809011.4550821.244133e-08
0.7829031.4550561.247316e-08
0.7849111.4550311.250508e-08
0.7869231.4550061.253708e-08
0.7889411.454981.256916e-08
0.7909641.4549551.260132e-08
0.7929921.454931.263357e-08
0.7950251.4549051.266589e-08
0.7970631.454881.269830e-08
0.7991071.4548561.273080e-08
0.81.4548451.274500e-08
0.8011561.4548311.276341e-08
0.803211.4548061.279614e-08
0.8052691.4547821.282896e-08
0.8073341.4547571.286185e-08
0.8094041.4547331.289484e-08
0.8114791.4547081.292790e-08
0.813561.4546841.296105e-08
0.8156461.454661.299429e-08
0.8177371.4546361.302761e-08
0.8198341.4546111.306102e-08
0.8219361.4545871.309451e-08
0.8240431.4545631.312809e-08
0.8261561.454541.316175e-08
0.8282741.4545161.319550e-08
0.831.4544961.322300e-08
0.8303981.4544921.336425e-08
0.8325271.4544681.412008e-08
0.8346621.4544451.487785e-08
0.8368021.4544211.563757e-08
0.8389471.4543981.639923e-08
0.8410981.4543741.716285e-08
0.8432551.4543511.792842e-08
0.8454171.4543271.869596e-08
0.8475841.4543041.946547e-08
0.8497581.4542812.023695e-08
0.851.4542782.032300e-08
0.8519361.4542582.036928e-08
0.8541211.4542352.042148e-08
0.8563111.4542122.047382e-08
0.8585061.4541892.052630e-08
0.8607071.4541662.057891e-08
0.8629141.4541432.063165e-08
0.8651271.454122.068453e-08
0.8673451.4540982.073754e-08
0.8695691.4540752.079069e-08
0.8717981.4540522.084398e-08
0.8740331.454032.089740e-08
0.8762741.4540072.095096e-08
0.8785211.4539852.100466e-08
0.8807741.4539622.105849e-08
0.8830321.453942.111246e-08
0.8852961.4539182.116658e-08
0.8875661.4538952.122083e-08
0.8898421.4538732.127521e-08
0.8921231.4538512.132974e-08
0.8944111.4538292.138441e-08
0.8967041.4538072.143922e-08
0.8990031.4537852.149417e-08
0.91.4537752.151800e-08
0.9013081.4537632.154928e-08
0.9036191.4537412.160456e-08
0.9059361.4537192.165998e-08
0.9082581.4536972.171554e-08
0.9105871.4536752.177125e-08
0.9129221.4536542.182709e-08
0.9152631.4536322.188308e-08
0.9176091.453612.193921e-08
0.9199621.4535882.199549e-08
0.9223211.4535672.205191e-08
0.9246861.4535452.210848e-08
0.9270561.4535242.216519e-08
0.9294331.4535022.222205e-08
0.9318161.4534812.227905e-08
0.9342061.4534592.233620e-08
0.9366011.4534382.239349e-08
0.9390021.4534172.245093e-08
0.941411.4533952.250852e-08
0.9438241.4533742.256626e-08
0.9462441.4533532.262414e-08
0.948671.4533322.268218e-08
0.951.453322.271400e-08
0.9511021.4533112.274034e-08
0.9535411.453292.279862e-08
0.9559851.4532682.285705e-08
0.9584371.4532472.291563e-08
0.9608941.4532262.297437e-08
0.9633581.4532052.303325e-08
0.9658281.4531842.309228e-08
0.9683041.4531632.315147e-08
0.9707871.4531432.321080e-08
0.9732761.4531222.327029e-08
0.9757711.4531012.332993e-08
0.9782731.453082.338973e-08
0.9807811.4530592.344967e-08
0.9832961.4530382.350978e-08
0.9858171.4530182.357003e-08
0.9883451.4529972.363044e-08
0.9908791.4529762.369100e-08
0.9934191.4529562.375172e-08
0.9959671.4529352.381260e-08
0.998521.4529142.387363e-08
11.4529022.390900e-08
1.001081.4528942.393484e-08
1.003651.4528732.399624e-08
1.006221.4528532.405779e-08
1.00881.4528322.411950e-08
1.011391.4528122.418137e-08
1.013981.4527912.424340e-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
—