Optical constants

Refractive index of FDS90-SG (HOYA)

FDS90-SG: 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
1.98319e-08
Permittivity ε1
3.41014
Permittivity ε2
7.32454e-08
Absorption coefficient α
0.00424123 cm⁻¹
Penetration depth δ = λ/(2πk)
4.71561e+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-SG (HOYA): FDS90-SG
hoya_fds90_sg = ls.fetch_refractiveindex("specs", "HOYA-optical", "FDS90-SG", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_fds90_sg.range_nm)  # (365.01, 1013.98) nm
eps = hoya_fds90_sg.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

Recommended 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
glass status
standard
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-SG (HOYA), FDS90-SG: 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
0.371.9473436.218400e-06
0.3706611.9465555.983029e-06
0.3716121.9454345.644804e-06
0.3725651.9443275.305712e-06
0.373521.9432324.965750e-06
0.3744771.9421484.624917e-06
0.3754381.9410774.283210e-06
0.37641.9400183.940627e-06
0.3773651.938973.597165e-06
0.3783331.9379333.252823e-06
0.3793031.9369082.907598e-06
0.381.9361792.659500e-06
0.3802751.9358932.618468e-06
0.381251.9348892.473201e-06
0.3822281.9338972.327561e-06
0.3832081.9329142.181548e-06
0.384191.9319422.035160e-06
0.3851761.930981.888398e-06
0.3861631.9300281.741258e-06
0.3871531.9290861.593742e-06
0.3881461.9281541.445847e-06
0.3891411.9272311.297573e-06
0.391.9264441.169600e-06
0.3901391.9263181.161865e-06
0.3911391.9254141.106122e-06
0.3921421.9245191.050236e-06
0.3931471.9236339.942071e-07
0.3941551.9227569.380344e-07
0.3951661.9218888.817176e-07
0.3961791.9210288.252564e-07
0.3971951.9201777.686505e-07
0.3982131.9193347.118994e-07
0.3992341.9184996.550028e-07
0.41.917886.123400e-07
0.4002581.9176736.079882e-07
0.4012841.9168545.906811e-07
0.4023131.9160445.733295e-07
0.4033451.9152415.559335e-07
0.4043791.9144465.384929e-07
0.4054161.9136585.210075e-07
0.4064551.9128785.034773e-07
0.4074971.9121054.859022e-07
0.4085421.911344.682820e-07
0.409591.9105814.506166e-07
0.410641.909834.329060e-07
0.4116931.9090854.151499e-07
0.4127481.9083483.973483e-07
0.4138061.9076173.795010e-07
0.4148671.9068933.616080e-07
0.4159311.9061753.436692e-07
0.4169981.9054643.256843e-07
0.4180671.9047593.076533e-07
0.4191391.904062.895761e-07
0.421.9035052.750500e-07
0.4202131.9033682.739534e-07
0.4212911.9026822.684150e-07
0.4223711.9020022.628624e-07
0.4234541.9013282.572955e-07
0.424541.900662.517143e-07
0.4256281.8999972.461189e-07
0.4267191.899342.405091e-07
0.4278131.8986892.348849e-07
0.428911.8980442.292462e-07
0.430011.8974042.235932e-07
0.4311131.896772.179256e-07
0.4322181.8961412.122435e-07
0.4333261.8955172.065469e-07
0.4344371.8948982.008356e-07
0.4355511.8942851.951097e-07
0.4366681.8936771.893691e-07
0.4377871.8930741.836138e-07
0.438911.8924761.778437e-07
0.441.8919011.722400e-07
0.4400351.8918831.721596e-07
0.4411631.8912941.695861e-07
0.4422951.8907111.670060e-07
0.4434291.8901321.644193e-07
0.4445661.8895581.618259e-07
0.4457051.8889891.592259e-07
0.4468481.8884241.566193e-07
0.4479941.8878641.540059e-07
0.4491431.8873081.513858e-07
0.4502941.8867571.487591e-07
0.4514491.886211.461256e-07
0.4526061.8856671.434853e-07
0.4537671.8851291.408383e-07
0.454931.8845941.381845e-07
0.4560971.8840641.355239e-07
0.4572661.8835391.328564e-07
0.4584381.8830171.301821e-07
0.4596141.8824991.275010e-07
0.461.882331.266200e-07
0.4607921.8819851.254352e-07
0.4619741.8814761.236681e-07
0.4631581.880971.218965e-07
0.4643461.8804681.201204e-07
0.4655361.879971.183397e-07
0.466731.8794751.165545e-07
0.4679271.8789851.147647e-07
0.4691261.8784981.129703e-07
0.4703291.8780141.111713e-07
0.4715351.8775351.093677e-07
0.4727441.8770591.075594e-07
0.4739561.8765861.057465e-07
0.4751711.8761171.039290e-07
0.476391.8756521.021068e-07
0.4776111.8751891.002800e-07
0.4788361.8747319.844843e-08
0.481.8742999.670700e-08
0.4800631.8742759.661672e-08
0.4812941.8738239.486366e-08
0.4825281.8733759.310610e-08
0.4837651.8729299.134404e-08
0.4850061.8724878.957746e-08
0.4862491.8720488.780635e-08
0.4874961.8716128.603070e-08
0.4887461.8711798.425049e-08
0.4899991.8707498.246572e-08
0.4912551.8703238.067638e-08
0.4925151.8698997.888245e-08
0.4937781.8694797.708391e-08
0.4950441.8690617.528077e-08
0.4963131.8686467.347300e-08
0.4975861.8682357.166060e-08
0.4988611.8678266.984355e-08
0.51.8674646.822200e-08
0.5001411.867426.809191e-08
0.5014231.8670176.690490e-08
0.5027091.8666176.571484e-08
0.5039971.8662196.452173e-08
0.505291.8658246.332556e-08
0.5065851.8654326.212633e-08
0.5078841.8650436.092402e-08
0.5091861.8646575.971862e-08
0.5104921.8642735.851014e-08
0.5118011.8638915.729856e-08
0.5131131.8635135.608387e-08
0.5144291.8631365.486607e-08
0.5157481.8627635.364514e-08
0.517071.8623925.242109e-08
0.5183961.8620235.119389e-08
0.5197251.8616574.996355e-08
0.5210571.8612944.873006e-08
0.5223931.8609334.749340e-08
0.5237331.8605744.625357e-08
0.5250761.8602184.501056e-08
0.5264221.8598644.376437e-08
0.5277721.8595124.251498e-08
0.5291251.8591634.126239e-08
0.5304811.8588164.000658e-08
0.5318421.8584723.874756e-08
0.5332051.858133.748531e-08
0.5345721.857793.621982e-08
0.5359431.8574523.495108e-08
0.5373171.8571163.367910e-08
0.5386951.8567833.240385e-08
0.5400761.8564523.112533e-08
0.5414611.8561232.984354e-08
0.5428491.8557962.855845e-08
0.5442411.8554712.727008e-08
0.5456361.8551492.597840e-08
0.5470351.8548282.468340e-08
0.5484381.854512.338509e-08
0.5498441.8541942.208345e-08
0.551.8541592.193900e-08
0.5512541.8538792.186874e-08
0.5526671.8535672.178953e-08
0.5540841.8532572.171012e-08
0.5555051.8529492.163051e-08
0.5569291.8526422.155069e-08
0.5583571.8523382.147067e-08
0.5597891.8520352.139044e-08
0.5612241.8517352.131001e-08
0.5626631.8514362.122937e-08
0.5641061.851142.114853e-08
0.5655521.8508452.106747e-08
0.5670021.8505522.098621e-08
0.5684561.8502612.090474e-08
0.5699131.8499722.082306e-08
0.5713741.8496842.074118e-08
0.5728391.8493992.065908e-08
0.5743081.8491152.057677e-08
0.5757811.8488332.049425e-08
0.5772571.8485532.041152e-08
0.5787371.8482742.032858e-08
0.5802211.8479972.024542e-08
0.5817091.8477222.016205e-08
0.58321.8474492.007847e-08
0.5846951.8471771.999467e-08
0.5861951.8469071.991066e-08
0.5876971.8466391.982643e-08
0.5892041.8463721.974199e-08
0.5907151.8461071.965733e-08
0.592231.8458441.957245e-08
0.5937481.8455821.948736e-08
0.595271.8453221.940205e-08
0.5967971.8450641.931651e-08
0.5983271.8448071.923076e-08
0.5998611.8445511.914479e-08
0.61.8445281.913700e-08
0.6013991.8442971.961818e-08
0.6029411.8440452.014856e-08
0.6044871.8437942.068029e-08
0.6060371.8435452.121339e-08
0.6075911.8432972.174785e-08
0.6091481.8430512.228369e-08
0.610711.8428062.282090e-08
0.6122761.8425632.335949e-08
0.6138461.8423212.389945e-08
0.615421.8420812.444081e-08
0.6169981.8418422.498355e-08
0.618581.8416042.552768e-08
0.6201661.8413682.607320e-08
0.6217561.8411342.662013e-08
0.623351.84092.716846e-08
0.6249481.8406682.771819e-08
0.6265511.8404382.826934e-08
0.6281571.8402092.882189e-08
0.6297681.8399812.937586e-08
0.6313821.8397552.993126e-08
0.6330011.8395293.048808e-08
0.6346241.8393063.104632e-08
0.6362511.8390833.160600e-08
0.6378831.8388623.216711e-08
0.6395181.8386423.272966e-08
0.6411581.8384233.329365e-08
0.6428021.8382063.385909e-08
0.644451.837993.442598e-08
0.6461021.8377753.499432e-08
0.6477591.8375623.556412e-08
0.649421.8373493.613538e-08
0.651.8372763.633500e-08
0.6510851.8371383.627399e-08
0.6527541.8369293.618011e-08
0.6544281.836723.608598e-08
0.6561061.8365123.599162e-08
0.6577881.8363063.589701e-08
0.6594741.8361013.580216e-08
0.6611651.8358973.570706e-08
0.6628611.8356943.561172e-08
0.664561.8354933.551614e-08
0.6662641.8352933.542031e-08
0.6679721.8350933.532424e-08
0.6696851.8348953.522792e-08
0.6714021.8346983.513135e-08
0.6731231.8345023.503454e-08
0.6748491.8343073.493748e-08
0.676581.8341143.484016e-08
0.6783141.8339213.474260e-08
0.6800531.8337293.464479e-08
0.6817971.8335393.454673e-08
0.6835451.833353.444842e-08
0.6852981.8331613.434985e-08
0.6870551.8329743.425103e-08
0.6888161.8327883.415196e-08
0.6905831.8326023.405264e-08
0.6923531.8324183.395306e-08
0.6941281.8322353.385322e-08
0.6959081.8320533.375313e-08
0.6976921.8318723.365278e-08
0.6994811.8316923.355217e-08
0.71.831643.352300e-08
0.7012751.8315123.343104e-08
0.7030731.8313343.330133e-08
0.7048751.8311573.317129e-08
0.7066831.8309813.304091e-08
0.7084951.8308063.291020e-08
0.7103111.8306313.277915e-08
0.7121321.8304583.264777e-08
0.7139581.8302853.251605e-08
0.7157891.8301143.238400e-08
0.7176241.8299433.225160e-08
0.7194641.8297743.211886e-08
0.7213091.8296053.198579e-08
0.7231581.8294373.185237e-08
0.7250121.829273.171861e-08
0.7268711.8291043.158451e-08
0.7287351.8289393.145007e-08
0.7306031.8287743.131528e-08
0.7324771.8286113.118014e-08
0.7343551.8284483.104466e-08
0.7362371.8282863.090883e-08
0.7381251.8281263.077265e-08
0.7400181.8279663.063612e-08
0.7419151.8278063.049925e-08
0.7438171.8276483.036202e-08
0.7457241.827493.022444e-08
0.7476361.8273343.008651e-08
0.7495531.8271782.994822e-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
—