Optical constants

Refractive index of FDS90(P) (HOYA)

FDS90(P): 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
1.60179e-07
Absorption coefficient α
0.00927505 cm⁻¹
Penetration depth δ = λ/(2πk)
2.15632e+09 nm
Abbe number Vd
23.877
Chromatic dispersion dn/dλ
-0.177152 µm⁻¹
Group index ng
1.95075
Group velocity dispersion
369.29 fs²/mm
Dispersion parameter D
-2014.67 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(P) (HOYA): FDS90(P)
hoya_fds90_p = ls.fetch_refractiveindex("specs", "HOYA-optical", "FDS90(P)", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_fds90_p.range_nm)  # (365.01, 1013.98) nm
eps = hoya_fds90_p.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=3.2565619−0.015803965⁢λ2.0+0.044330322⁢λ−2.0+0.0043620098⁢λ−4.0−0.00036912261⁢λ−6.0+4.2999682×10-5⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.2565619
C2-0.015803965
C32.0
C40.044330322
C5-2.0
C60.0043620098
C7-4.0
C8-0.00036912261
C9-6.0
C104.2999682e-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
23.88
glass code
847239
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(P) (HOYA), FDS90(P): n and k versus wavelength
λ (µm)nk
0.365011.952770
0.3659461.9515910
0.3668841.9504250
0.3678251.9492730
0.3687681.9481330
0.3697131.9470050
0.371.9466677.122800e-06
0.3706611.945896.838508e-06
0.3716121.9447876.429985e-06
0.3725651.9436966.020414e-06
0.373521.9426175.609793e-06
0.3744771.9415495.198120e-06
0.3754381.9404934.785390e-06
0.37641.9394484.371603e-06
0.3773651.9384143.956755e-06
0.3783331.9373913.540843e-06
0.3793031.9363793.123864e-06
0.381.935662.824200e-06
0.3802751.9353772.782849e-06
0.381251.9343862.636450e-06
0.3822281.9334052.489677e-06
0.3832081.9324342.342527e-06
0.384191.9314732.194999e-06
0.3851761.9305222.047094e-06
0.3861631.929581.898809e-06
0.3871531.9286481.750144e-06
0.3881461.9277261.601098e-06
0.3891411.9268131.451670e-06
0.391.9260341.322700e-06
0.3901391.9259081.314980e-06
0.3911391.9250131.259342e-06
0.3921421.9241271.203561e-06
0.3931471.9232491.147638e-06
0.3941551.922381.091571e-06
0.3951661.921521.035360e-06
0.3961791.9206689.790052e-07
0.3971951.9198249.225059e-07
0.3982131.9189888.658618e-07
0.3992341.918168.090724e-07
0.41.9175467.664900e-07
0.4002581.917347.613842e-07
0.4012841.9165287.410784e-07
0.4023131.9157247.207204e-07
0.4033451.9149277.003103e-07
0.4043791.9141386.798479e-07
0.4054161.9133566.593329e-07
0.4064551.9125816.387654e-07
0.4074971.9118146.181451e-07
0.4085421.9110535.974720e-07
0.409591.91035.767459e-07
0.410641.9095545.559666e-07
0.4116931.9088145.351341e-07
0.4127481.9080815.142481e-07
0.4138061.9073544.933086e-07
0.4148671.9066354.723154e-07
0.4159311.9059214.512683e-07
0.4169981.9052144.301674e-07
0.4180671.9045134.090123e-07
0.4191391.9038193.878029e-07
0.421.9032663.707600e-07
0.4202131.903133.692356e-07
0.4212911.9024483.615364e-07
0.4223711.9017713.538175e-07
0.4234541.9011013.460788e-07
0.424541.9004363.383202e-07
0.4256281.8997773.305418e-07
0.4267191.8991243.227433e-07
0.4278131.8984763.149249e-07
0.428911.8978343.070865e-07
0.430011.8971972.992280e-07
0.4311131.8965652.913493e-07
0.4322181.8959392.834504e-07
0.4333261.8953182.755312e-07
0.4344371.8947032.675918e-07
0.4355511.8940922.596320e-07
0.4366681.8934872.516518e-07
0.4377871.8928862.436511e-07
0.438911.8922912.356299e-07
0.441.8917192.278400e-07
0.4400351.89172.277423e-07
0.4411631.8911152.246137e-07
0.4422951.8905342.214770e-07
0.4434291.8899572.183324e-07
0.4445661.8893862.151797e-07
0.4457051.8888192.120188e-07
0.4468481.8882562.088499e-07
0.4479941.8876982.056729e-07
0.4491431.8871452.024877e-07
0.4502941.8865961.992944e-07
0.4514491.8860511.960928e-07
0.4526061.8855111.928831e-07
0.4537671.8849741.896651e-07
0.454931.8844421.864389e-07
0.4560971.8839141.832044e-07
0.4572661.8833911.799616e-07
0.4584381.8828711.767105e-07
0.4596141.8823551.734510e-07
0.461.8821871.723800e-07
0.4607921.8818441.704728e-07
0.4619741.8813361.676284e-07
0.4631581.8808321.647768e-07
0.4643461.8803321.619178e-07
0.4655361.8798361.590515e-07
0.466731.8793431.561779e-07
0.4679271.8788551.532969e-07
0.4691261.878371.504085e-07
0.4703291.8778881.475127e-07
0.4715351.877411.446095e-07
0.4727441.8769361.416988e-07
0.4739561.8764661.387807e-07
0.4751711.8759981.358551e-07
0.476391.8755351.329219e-07
0.4776111.8750741.299813e-07
0.4788361.8746171.270331e-07
0.481.8741871.242300e-07
0.4800631.8741641.241297e-07
0.4812941.8737141.221820e-07
0.4825281.8732671.202294e-07
0.4837651.8728231.182717e-07
0.4850061.8723821.163090e-07
0.4862491.8719451.143413e-07
0.4874961.8715111.123686e-07
0.4887461.871081.103907e-07
0.4899991.8706521.084079e-07
0.4912551.8702271.064199e-07
0.4925151.8698051.044268e-07
0.4937781.8693861.024286e-07
0.4950441.868971.004253e-07
0.4963131.8685579.841689e-08
0.4975861.8681479.640331e-08
0.4988611.867749.438455e-08
0.51.867389.258300e-08
0.5001411.8673369.244641e-08
0.5014231.8669349.120010e-08
0.5027091.8665368.995060e-08
0.5039971.866148.869789e-08
0.505291.8657478.744197e-08
0.5065851.8653568.618283e-08
0.5078841.8649698.492046e-08
0.5091861.8645848.365485e-08
0.5104921.8642018.238600e-08
0.5118011.8638228.111389e-08
0.5131131.8634447.983853e-08
0.5144291.863077.855989e-08
0.5157481.8626987.727798e-08
0.517071.8623287.599278e-08
0.5183961.8619617.470428e-08
0.5197251.8615977.341248e-08
0.5210571.8612357.211737e-08
0.5223931.8608757.081893e-08
0.5237331.8605186.951717e-08
0.5250761.8601636.821207e-08
0.5264221.8598116.690362e-08
0.5277721.8594616.559182e-08
0.5291251.8591136.427666e-08
0.5304811.8587686.295812e-08
0.5318421.8584256.163621e-08
0.5332051.8580846.031090e-08
0.5345721.8577455.898219e-08
0.5359431.8574095.765008e-08
0.5373171.8570755.631456e-08
0.5386951.8567435.497561e-08
0.5400761.8564135.363322e-08
0.5414611.8560865.228740e-08
0.5428491.855765.093812e-08
0.5442411.8554374.958538e-08
0.5456361.8551164.822918e-08
0.5470351.8547974.686950e-08
0.5484381.854484.550633e-08
0.5498441.8541644.413967e-08
0.551.854134.398800e-08
0.5512541.8538514.396739e-08
0.5526671.8535414.394415e-08
0.5540841.8532324.392086e-08
0.5555051.8529254.389750e-08
0.5569291.852624.387409e-08
0.5583571.8523164.385061e-08
0.5597891.8520154.382707e-08
0.5612241.8517164.380348e-08
0.5626631.8514194.377982e-08
0.5641061.8511234.375610e-08
0.5655521.850834.373233e-08
0.5670021.8505384.370849e-08
0.5684561.8502484.368459e-08
0.5699131.849964.366063e-08
0.5713741.8496744.363660e-08
0.5728391.8493894.361252e-08
0.5743081.8491074.358837e-08
0.5757811.8488264.356417e-08
0.5772571.8485474.353990e-08
0.5787371.8482694.351556e-08
0.5802211.8479934.349117e-08
0.5817091.847724.346671e-08
0.58321.8474474.344219e-08
0.5846951.8471774.341761e-08
0.5861951.8469084.339296e-08
0.5876971.846644.336825e-08
0.5892041.8463754.334348e-08
0.5907151.8461114.331864e-08
0.592231.8458484.329375e-08
0.5937481.8455884.326878e-08
0.595271.8453284.324375e-08
0.5967971.8450714.321866e-08
0.5983271.8448154.319351e-08
0.5998611.844564.316829e-08
0.61.8445374.316600e-08
0.6013991.8443074.370543e-08
0.6029411.8440564.430002e-08
0.6044871.8438064.489612e-08
0.6060371.8435584.549376e-08
0.6075911.8433114.609293e-08
0.6091481.8430664.669363e-08
0.610711.8428224.729587e-08
0.6122761.8425794.789966e-08
0.6138461.8423384.850500e-08
0.615421.8420994.911189e-08
0.6169981.841864.972033e-08
0.618581.8416245.033034e-08
0.6201661.8413885.094191e-08
0.6217561.8411545.155504e-08
0.623351.8409225.216975e-08
0.6249481.8406915.278604e-08
0.6265511.8404615.340390e-08
0.6281571.8402325.402335e-08
0.6297681.8400055.464439e-08
0.6313821.839785.526702e-08
0.6330011.8395555.589124e-08
0.6346241.8393325.651707e-08
0.6362511.839115.714450e-08
0.6378831.838895.777354e-08
0.6395181.838675.840419e-08
0.6411581.8384525.903646e-08
0.6428021.8382365.967035e-08
0.644451.838026.030587e-08
0.6461021.8378066.094302e-08
0.6477591.8375936.158180e-08
0.649421.8373816.222221e-08
0.651.8373086.244600e-08
0.6510851.8371716.206194e-08
0.6527541.8369626.147089e-08
0.6544281.8367536.087832e-08
0.6561061.8365466.028423e-08
0.6577881.8363415.968862e-08
0.6594741.8361365.909148e-08
0.6611651.8359335.849281e-08
0.6628611.835735.789261e-08
0.664561.8355295.729086e-08
0.6662641.8353295.668758e-08
0.6679721.8351315.608274e-08
0.6696851.8349335.547636e-08
0.6714021.8347365.486842e-08
0.6731231.8345415.425892e-08
0.6748491.8343465.364786e-08
0.676581.8341535.303523e-08
0.6783141.8339615.242104e-08
0.6800531.833775.180526e-08
0.6817971.8335795.118791e-08
0.6835451.833395.056898e-08
0.6852981.8332024.994846e-08
0.6870551.8330154.932635e-08
0.6888161.832834.870264e-08
0.6905831.8326454.807733e-08
0.6923531.8324614.745042e-08
0.6941281.8322784.682190e-08
0.6959081.8320964.619178e-08
0.6976921.8319154.556003e-08
0.6994811.8317354.492667e-08
0.71.8316834.474300e-08
0.7012751.8315564.436500e-08
0.7030731.8313784.383181e-08
0.7048751.8312014.329725e-08
0.7066831.8310254.276132e-08
0.7084951.830854.222401e-08
0.7103111.8306764.168533e-08
0.7121321.8305034.114527e-08
0.7139581.8303314.060382e-08
0.7157891.830164.006099e-08
0.7176241.8299893.951676e-08
0.7194641.829823.897114e-08
0.7213091.8296513.842411e-08
0.7231581.8294833.787569e-08
0.7250121.8293173.732586e-08
0.7268711.8291513.677462e-08
0.7287351.8289863.622196e-08
0.7306031.8288213.566789e-08
0.7324771.8286583.511240e-08
0.7343551.8284963.455549e-08
0.7362371.8283343.399714e-08
0.7381251.8281733.343737e-08
0.7400181.8280133.287616e-08
0.7419151.8278543.231351e-08
0.7438171.8276963.174941e-08
0.7457241.8275393.118388e-08
0.7476361.8273823.061689e-08
0.7495531.8272263.004845e-08
0.751.827192.991600e-08
0.7514751.8270712.936197e-08
0.7534021.8269172.863834e-08
0.7553341.8267632.791286e-08
0.757271.8266112.718552e-08
0.7592121.8264592.645631e-08
0.7611591.8263082.572524e-08
0.763111.8261572.499228e-08
0.7650671.8260082.425745e-08
0.7670281.8258592.352074e-08
0.7689951.8257112.278214e-08
0.7709671.8255642.204164e-08
0.7729431.8254172.129925e-08
0.7749251.8252712.055495e-08
0.7769121.8251261.980874e-08
0.7789041.8249821.906062e-08
0.781.8249031.864900e-08
0.7809011.8248381.867054e-08
0.7829031.8246951.871839e-08
0.7849111.8245531.876636e-08
0.7869231.8244111.881446e-08
0.7889411.824271.886268e-08
0.7909641.824131.891103e-08
0.7929921.823991.895950e-08
0.7950251.8238521.900809e-08
0.7970631.8237131.905681e-08
0.7991071.8235761.910565e-08
0.81.8235161.912700e-08
0.8011561.8234391.915466e-08
0.803211.8233031.920382e-08
0.8052691.8231671.925311e-08
0.8073341.8230321.930253e-08
0.8094041.8228981.935207e-08
0.8114791.8227651.940174e-08
0.813561.8226321.945153e-08
0.8156461.8224991.950146e-08
0.8177371.8223681.955151e-08
0.8198341.8222361.960169e-08
0.8219361.8221061.965200e-08
0.8240431.8219761.970243e-08
0.8261561.8218471.975300e-08
0.8282741.8217181.980370e-08
0.831.8216141.984500e-08
0.8303981.821591.971961e-08
0.8325271.8214621.904862e-08
0.8346621.8213361.837591e-08
0.8368021.8212091.770147e-08
0.8389471.8210831.702531e-08
0.8410981.8209581.634741e-08
0.8432551.8208341.566778e-08
0.8454171.8207091.498640e-08
0.8475841.8205861.430327e-08
0.8497581.8204631.361839e-08
0.851.8204491.354200e-08
0.8519361.8203411.357283e-08
0.8541211.8202191.360760e-08
0.8563111.8200971.364247e-08
0.8585061.8199771.367742e-08
0.8607071.8198561.371246e-08
0.8629141.8197371.374759e-08
0.8651271.8196171.378282e-08
0.8673451.8194991.381813e-08
0.8695691.819381.385353e-08
0.8717981.8192631.388903e-08
0.8740331.8191451.392461e-08
0.8762741.8190291.396029e-08
0.8785211.8189131.399606e-08
0.8807741.8187971.403192e-08
0.8830321.8186821.406787e-08
0.8852961.8185671.410391e-08
0.8875661.8184531.414005e-08
0.8898421.8183391.417628e-08
0.8921231.8182261.421260e-08
0.8944111.8181131.424902e-08
0.8967041.8181.428552e-08
0.8990031.8178891.432213e-08
0.91.817841.433800e-08
0.9013081.8177771.435885e-08
0.9036191.8176661.439568e-08
0.9059361.8175561.443261e-08
0.9082581.8174451.446964e-08
0.9105871.8173361.450676e-08
0.9129221.8172271.454398e-08
0.9152631.8171181.458129e-08
0.9176091.8170091.461869e-08
0.9199621.8169011.465619e-08
0.9223211.8167941.469379e-08
0.9246861.8166871.473149e-08
0.9270561.816581.476928e-08
0.9294331.8164741.480717e-08
0.9318161.8163681.484515e-08
0.9342061.8162621.488324e-08
0.9366011.8161571.492142e-08
0.9390021.8160531.495970e-08
0.941411.8159481.499807e-08
0.9438241.8158441.503655e-08
0.9462441.8157411.507512e-08
0.948671.8156381.511379e-08
0.951.8155821.513500e-08
0.9511021.8155351.497690e-08
0.9535411.8154331.462705e-08
0.9559851.8153311.427629e-08
0.9584371.8152291.392464e-08
0.9608941.8151281.357209e-08
0.9633581.8150271.321863e-08
0.9658281.8149261.286427e-08
0.9683041.8148261.250899e-08
0.9707871.8147261.215281e-08
0.9732761.8146271.179572e-08
0.9757711.8145271.143770e-08
0.9782731.8144291.107877e-08
0.9807811.814331.071892e-08
0.9832961.8142321.035815e-08
0.9858171.8141349.996453e-09
0.9883451.8140379.633828e-09
0.9908791.8139399.270274e-09
0.9934191.8138438.905787e-09
0.9959671.8137468.540365e-09
0.998521.813658.174007e-09
11.8135947.961700e-09
1.001081.8135547.970302e-09
1.003651.8134587.990738e-09
1.006221.8133638.011227e-09
1.00881.8132688.031768e-09
1.011391.8131738.052362e-09
1.013981.8130798.073009e-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
—