Optical constants

Refractive index of FDS90 (HOYA)

FDS90: 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. Note: k data cover 370-1550 nm only; k = 0 elsewhere in the n range 365.01-1013.98 nm.

At one wavelength

Range 0.365–1.014 µm
Refractive index n
1.84666
Extinction coefficient k
4.33699e-08
Permittivity ε1
3.41014
Permittivity ε2
1.60178e-07
Absorption coefficient α
0.00927505 cm⁻¹
Penetration depth δ = λ/(2πk)
2.15632e+09 nm
Abbe number Vd
23.785
Chromatic dispersion dn/dλ
-0.177832 µm⁻¹
Group index ng
1.95115
Group velocity dispersion
371.627 fs²/mm
Dispersion parameter D
-2027.42 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

# FDS90 (HOYA): FDS90
hoya_fds90 = ls.fetch_refractiveindex("specs", "HOYA-optical", "FDS90", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_fds90.range_nm)  # (365.01, 1013.98) nm
eps = hoya_fds90.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=3.2606321−0.017780398⁢λ2.0+0.040902938⁢λ−2.0+0.0056076934⁢λ−4.0−0.00056434039⁢λ−6.0+5.4763391×10-5⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.2606321
C2-0.017780398
C32.0
C40.040902938
C5-2.0
C60.0056076934
C7-4.0
C8-0.00056434039
C9-6.0
C105.4763391e-05
C11-8.0

Comments and conditions

General glass Type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -4.62e-06 1.29e-08 -2.11e-11 1.04e-06 1.27e-09 0.296
nd
1.84666
Vd
23.78
glass code
847238
density
value: 3500
thermal expansion
value: 8.7e-06, temperature range: 243 343; value: 1.07e-05, temperature range: 293 573
dPgF
0.0137
resistance
acid: 1.0; stain: 1.0; climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -8.41e-07 K⁻¹ at 633 nm
Notes on the source data (kept exactly as published):
  • k data cover 370-1550 nm only; k = 0 elsewhere in the n range 365.01-1013.98 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
FDS90 (HOYA), FDS90: n and k versus wavelength
λ (µm)nk
0.365011.953550
0.3659461.952350
0.3668841.9511640
0.3678251.9499920
0.3687681.9488330
0.3697131.9476870
0.371.9473437.122800e-06
0.3706611.9465556.838508e-06
0.3716121.9454346.429985e-06
0.3725651.9443276.020414e-06
0.373521.9432325.609793e-06
0.3744771.9421485.198120e-06
0.3754381.9410774.785390e-06
0.37641.9400184.371603e-06
0.3773651.938973.956755e-06
0.3783331.9379333.540843e-06
0.3793031.9369083.123864e-06
0.381.9361792.824200e-06
0.3802751.9358932.782849e-06
0.381251.9348892.636450e-06
0.3822281.9338972.489677e-06
0.3832081.9329142.342527e-06
0.384191.9319422.194999e-06
0.3851761.930982.047094e-06
0.3861631.9300281.898809e-06
0.3871531.9290861.750144e-06
0.3881461.9281541.601098e-06
0.3891411.9272311.451670e-06
0.391.9264441.322700e-06
0.3901391.9263181.314980e-06
0.3911391.9254141.259342e-06
0.3921421.9245191.203561e-06
0.3931471.9236331.147638e-06
0.3941551.9227561.091571e-06
0.3951661.9218881.035360e-06
0.3961791.9210289.790052e-07
0.3971951.9201779.225059e-07
0.3982131.9193348.658618e-07
0.3992341.9184998.090724e-07
0.41.917887.664900e-07
0.4002581.9176737.613842e-07
0.4012841.9168547.410784e-07
0.4023131.9160447.207204e-07
0.4033451.9152417.003103e-07
0.4043791.9144466.798479e-07
0.4054161.9136586.593329e-07
0.4064551.9128786.387654e-07
0.4074971.9121056.181451e-07
0.4085421.911345.974720e-07
0.409591.9105815.767459e-07
0.410641.909835.559666e-07
0.4116931.9090855.351341e-07
0.4127481.9083485.142481e-07
0.4138061.9076174.933086e-07
0.4148671.9068934.723154e-07
0.4159311.9061754.512683e-07
0.4169981.9054644.301674e-07
0.4180671.9047594.090123e-07
0.4191391.904063.878029e-07
0.421.9035053.707600e-07
0.4202131.9033683.692356e-07
0.4212911.9026823.615364e-07
0.4223711.9020023.538175e-07
0.4234541.9013283.460788e-07
0.424541.900663.383202e-07
0.4256281.8999973.305418e-07
0.4267191.899343.227433e-07
0.4278131.8986893.149249e-07
0.428911.8980443.070865e-07
0.430011.8974042.992280e-07
0.4311131.896772.913493e-07
0.4322181.8961412.834504e-07
0.4333261.8955172.755312e-07
0.4344371.8948982.675918e-07
0.4355511.8942852.596320e-07
0.4366681.8936772.516518e-07
0.4377871.8930742.436511e-07
0.438911.8924762.356299e-07
0.441.8919012.278400e-07
0.4400351.8918832.277423e-07
0.4411631.8912942.246137e-07
0.4422951.8907112.214770e-07
0.4434291.8901322.183324e-07
0.4445661.8895582.151797e-07
0.4457051.8889892.120188e-07
0.4468481.8884242.088499e-07
0.4479941.8878642.056729e-07
0.4491431.8873082.024877e-07
0.4502941.8867571.992944e-07
0.4514491.886211.960928e-07
0.4526061.8856671.928831e-07
0.4537671.8851291.896651e-07
0.454931.8845941.864389e-07
0.4560971.8840641.832044e-07
0.4572661.8835391.799616e-07
0.4584381.8830171.767105e-07
0.4596141.8824991.734510e-07
0.461.882331.723800e-07
0.4607921.8819851.704728e-07
0.4619741.8814761.676284e-07
0.4631581.880971.647768e-07
0.4643461.8804681.619178e-07
0.4655361.879971.590515e-07
0.466731.8794751.561779e-07
0.4679271.8789851.532969e-07
0.4691261.8784981.504085e-07
0.4703291.8780141.475127e-07
0.4715351.8775351.446095e-07
0.4727441.8770591.416988e-07
0.4739561.8765861.387807e-07
0.4751711.8761171.358551e-07
0.476391.8756521.329219e-07
0.4776111.8751891.299813e-07
0.4788361.8747311.270331e-07
0.481.8742991.242300e-07
0.4800631.8742751.241297e-07
0.4812941.8738231.221820e-07
0.4825281.8733751.202294e-07
0.4837651.8729291.182717e-07
0.4850061.8724871.163090e-07
0.4862491.8720481.143413e-07
0.4874961.8716121.123686e-07
0.4887461.8711791.103907e-07
0.4899991.8707491.084079e-07
0.4912551.8703231.064199e-07
0.4925151.8698991.044268e-07
0.4937781.8694791.024286e-07
0.4950441.8690611.004253e-07
0.4963131.8686469.841689e-08
0.4975861.8682359.640331e-08
0.4988611.8678269.438455e-08
0.51.8674649.258300e-08
0.5001411.867429.244641e-08
0.5014231.8670179.120010e-08
0.5027091.8666178.995060e-08
0.5039971.8662198.869789e-08
0.505291.8658248.744197e-08
0.5065851.8654328.618283e-08
0.5078841.8650438.492046e-08
0.5091861.8646578.365485e-08
0.5104921.8642738.238600e-08
0.5118011.8638918.111389e-08
0.5131131.8635137.983853e-08
0.5144291.8631367.855989e-08
0.5157481.8627637.727798e-08
0.517071.8623927.599278e-08
0.5183961.8620237.470428e-08
0.5197251.8616577.341248e-08
0.5210571.8612947.211737e-08
0.5223931.8609337.081893e-08
0.5237331.8605746.951717e-08
0.5250761.8602186.821207e-08
0.5264221.8598646.690362e-08
0.5277721.8595126.559182e-08
0.5291251.8591636.427666e-08
0.5304811.8588166.295812e-08
0.5318421.8584726.163621e-08
0.5332051.858136.031090e-08
0.5345721.857795.898219e-08
0.5359431.8574525.765008e-08
0.5373171.8571165.631456e-08
0.5386951.8567835.497561e-08
0.5400761.8564525.363322e-08
0.5414611.8561235.228740e-08
0.5428491.8557965.093812e-08
0.5442411.8554714.958538e-08
0.5456361.8551494.822918e-08
0.5470351.8548284.686950e-08
0.5484381.854514.550633e-08
0.5498441.8541944.413967e-08
0.551.8541594.398800e-08
0.5512541.8538794.396739e-08
0.5526671.8535674.394415e-08
0.5540841.8532574.392086e-08
0.5555051.8529494.389750e-08
0.5569291.8526424.387409e-08
0.5583571.8523384.385061e-08
0.5597891.8520354.382707e-08
0.5612241.8517354.380348e-08
0.5626631.8514364.377982e-08
0.5641061.851144.375610e-08
0.5655521.8508454.373233e-08
0.5670021.8505524.370849e-08
0.5684561.8502614.368459e-08
0.5699131.8499724.366063e-08
0.5713741.8496844.363660e-08
0.5728391.8493994.361252e-08
0.5743081.8491154.358837e-08
0.5757811.8488334.356417e-08
0.5772571.8485534.353990e-08
0.5787371.8482744.351556e-08
0.5802211.8479974.349117e-08
0.5817091.8477224.346671e-08
0.58321.8474494.344219e-08
0.5846951.8471774.341761e-08
0.5861951.8469074.339296e-08
0.5876971.8466394.336825e-08
0.5892041.8463724.334348e-08
0.5907151.8461074.331864e-08
0.592231.8458444.329375e-08
0.5937481.8455824.326878e-08
0.595271.8453224.324375e-08
0.5967971.8450644.321866e-08
0.5983271.8448074.319351e-08
0.5998611.8445514.316829e-08
0.61.8445284.316600e-08
0.6013991.8442974.370543e-08
0.6029411.8440454.430002e-08
0.6044871.8437944.489612e-08
0.6060371.8435454.549376e-08
0.6075911.8432974.609293e-08
0.6091481.8430514.669363e-08
0.610711.8428064.729587e-08
0.6122761.8425634.789966e-08
0.6138461.8423214.850500e-08
0.615421.8420814.911189e-08
0.6169981.8418424.972033e-08
0.618581.8416045.033034e-08
0.6201661.8413685.094191e-08
0.6217561.8411345.155504e-08
0.623351.84095.216975e-08
0.6249481.8406685.278604e-08
0.6265511.8404385.340390e-08
0.6281571.8402095.402335e-08
0.6297681.8399815.464439e-08
0.6313821.8397555.526702e-08
0.6330011.8395295.589124e-08
0.6346241.8393065.651707e-08
0.6362511.8390835.714450e-08
0.6378831.8388625.777354e-08
0.6395181.8386425.840419e-08
0.6411581.8384235.903646e-08
0.6428021.8382065.967035e-08
0.644451.837996.030587e-08
0.6461021.8377756.094302e-08
0.6477591.8375626.158180e-08
0.649421.8373496.222221e-08
0.651.8372766.244600e-08
0.6510851.8371386.206194e-08
0.6527541.8369296.147089e-08
0.6544281.836726.087832e-08
0.6561061.8365126.028423e-08
0.6577881.8363065.968862e-08
0.6594741.8361015.909148e-08
0.6611651.8358975.849281e-08
0.6628611.8356945.789261e-08
0.664561.8354935.729086e-08
0.6662641.8352935.668758e-08
0.6679721.8350935.608274e-08
0.6696851.8348955.547636e-08
0.6714021.8346985.486842e-08
0.6731231.8345025.425892e-08
0.6748491.8343075.364786e-08
0.676581.8341145.303523e-08
0.6783141.8339215.242104e-08
0.6800531.8337295.180526e-08
0.6817971.8335395.118791e-08
0.6835451.833355.056898e-08
0.6852981.8331614.994846e-08
0.6870551.8329744.932635e-08
0.6888161.8327884.870264e-08
0.6905831.8326024.807733e-08
0.6923531.8324184.745042e-08
0.6941281.8322354.682190e-08
0.6959081.8320534.619178e-08
0.6976921.8318724.556003e-08
0.6994811.8316924.492667e-08
0.71.831644.474300e-08
0.7012751.8315124.436500e-08
0.7030731.8313344.383181e-08
0.7048751.8311574.329725e-08
0.7066831.8309814.276132e-08
0.7084951.8308064.222401e-08
0.7103111.8306314.168533e-08
0.7121321.8304584.114527e-08
0.7139581.8302854.060382e-08
0.7157891.8301144.006099e-08
0.7176241.8299433.951676e-08
0.7194641.8297743.897114e-08
0.7213091.8296053.842411e-08
0.7231581.8294373.787569e-08
0.7250121.829273.732586e-08
0.7268711.8291043.677462e-08
0.7287351.8289393.622196e-08
0.7306031.8287743.566789e-08
0.7324771.8286113.511240e-08
0.7343551.8284483.455549e-08
0.7362371.8282863.399714e-08
0.7381251.8281263.343737e-08
0.7400181.8279663.287616e-08
0.7419151.8278063.231351e-08
0.7438171.8276483.174941e-08
0.7457241.827493.118388e-08
0.7476361.8273343.061689e-08
0.7495531.8271783.004845e-08
0.751.8271422.991600e-08
0.7514751.8270232.936197e-08
0.7534021.8268682.863834e-08
0.7553341.8267152.791286e-08
0.757271.8265622.718552e-08
0.7592121.826412.645631e-08
0.7611591.8262592.572524e-08
0.763111.8261082.499228e-08
0.7650671.8259592.425745e-08
0.7670281.825812.352074e-08
0.7689951.8256622.278214e-08
0.7709671.8255142.204164e-08
0.7729431.8253682.129925e-08
0.7749251.8252222.055495e-08
0.7769121.8250761.980874e-08
0.7789041.8249321.906062e-08
0.781.8248531.864900e-08
0.7809011.8247881.867054e-08
0.7829031.8246451.871839e-08
0.7849111.8245031.876636e-08
0.7869231.8243611.881446e-08
0.7889411.824221.886268e-08
0.7909641.824081.891103e-08
0.7929921.823941.895950e-08
0.7950251.8238011.900809e-08
0.7970631.8236631.905681e-08
0.7991071.8235261.910565e-08
0.81.8234661.912700e-08
0.8011561.8233891.915466e-08
0.803211.8232531.920382e-08
0.8052691.8231171.925311e-08
0.8073341.8229821.930253e-08
0.8094041.8228481.935207e-08
0.8114791.8227141.940174e-08
0.813561.8225811.945153e-08
0.8156461.8224491.950146e-08
0.8177371.8223171.955151e-08
0.8198341.8221861.960169e-08
0.8219361.8220551.965200e-08
0.8240431.8219251.970243e-08
0.8261561.8217961.975300e-08
0.8282741.8216671.980370e-08
0.831.8215631.984500e-08
0.8303981.8215391.971961e-08
0.8325271.8214111.904862e-08
0.8346621.8212841.837591e-08
0.8368021.8211581.770147e-08
0.8389471.8210321.702531e-08
0.8410981.8209071.634741e-08
0.8432551.8207821.566778e-08
0.8454171.8206581.498640e-08
0.8475841.8205341.430327e-08
0.8497581.8204111.361839e-08
0.851.8203971.354200e-08
0.8519361.8202881.357283e-08
0.8541211.8201661.360760e-08
0.8563111.8200451.364247e-08
0.8585061.8199241.367742e-08
0.8607071.8198041.371246e-08
0.8629141.8196841.374759e-08
0.8651271.8195641.378282e-08
0.8673451.8194451.381813e-08
0.8695691.8193271.385353e-08
0.8717981.8192091.388903e-08
0.8740331.8190921.392461e-08
0.8762741.8189751.396029e-08
0.8785211.8188591.399606e-08
0.8807741.8187431.403192e-08
0.8830321.8186271.406787e-08
0.8852961.8185121.410391e-08
0.8875661.8183981.414005e-08
0.8898421.8182841.417628e-08
0.8921231.8181711.421260e-08
0.8944111.8180571.424902e-08
0.8967041.8179451.428552e-08
0.8990031.8178331.432213e-08
0.91.8177841.433800e-08
0.9013081.8177211.435885e-08
0.9036191.817611.439568e-08
0.9059361.8174991.443261e-08
0.9082581.8173891.446964e-08
0.9105871.8172791.450676e-08
0.9129221.8171691.454398e-08
0.9152631.817061.458129e-08
0.9176091.8169511.461869e-08
0.9199621.8168431.465619e-08
0.9223211.8167351.469379e-08
0.9246861.8166281.473149e-08
0.9270561.8165211.476928e-08
0.9294331.8164141.480717e-08
0.9318161.8163081.484515e-08
0.9342061.8162021.488324e-08
0.9366011.8160961.492142e-08
0.9390021.8159911.495970e-08
0.941411.8158871.499807e-08
0.9438241.8157821.503655e-08
0.9462441.8156781.507512e-08
0.948671.8155751.511379e-08
0.951.8155181.513500e-08
0.9511021.8154721.497690e-08
0.9535411.8153691.462705e-08
0.9559851.8152661.427629e-08
0.9584371.8151641.392464e-08
0.9608941.8150621.357209e-08
0.9633581.8149611.321863e-08
0.9658281.814861.286427e-08
0.9683041.8147591.250899e-08
0.9707871.8146591.215281e-08
0.9732761.8145591.179572e-08
0.9757711.8144591.143770e-08
0.9782731.8143591.107877e-08
0.9807811.814261.071892e-08
0.9832961.8141621.035815e-08
0.9858171.8140639.996453e-09
0.9883451.8139659.633828e-09
0.9908791.8138679.270274e-09
0.9934191.813778.905787e-09
0.9959671.8136728.540365e-09
0.998521.8135758.174007e-09
11.8135197.961700e-09
1.001081.8134797.970302e-09
1.003651.8133827.990738e-09
1.006221.8132868.011227e-09
1.00881.8131918.031768e-09
1.011391.8130958.052362e-09
1.013981.8138.073009e-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
—