Optical constants

Refractive index of TAFD35 (HOYA)

TAFD35: 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
1.91082
Extinction coefficient k
3.28468e-08
Permittivity ε1
3.65122
Permittivity ε2
1.25529e-07
Absorption coefficient α
0.0070246 cm⁻¹
Penetration depth δ = λ/(2πk)
2.84714e+09 nm
Abbe number Vd
35.25
Chromatic dispersion dn/dλ
-0.13109 µm⁻¹
Group index ng
1.98785
Group velocity dispersion
255.305 fs²/mm
Dispersion parameter D
-1392.82 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

# TAFD35 (HOYA): TAFD35
hoya_tafd35 = ls.fetch_refractiveindex("specs", "HOYA-optical", "TAFD35", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_tafd35.range_nm)  # (365.01, 1013.98) nm
eps = hoya_tafd35.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=3.5274747−0.014839948⁢λ2.0+0.039745402⁢λ−2.0+0.001803472⁢λ−4.0−8.9279334×10-5⁢λ−6.0+1.1377783×10-5⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.5274747
C2-0.014839948
C32.0
C40.039745402
C5-2.0
C60.001803472
C7-4.0
C8-8.9279334e-05
C9-6.0
C101.1377783e-05
C11-8.0

Comments and conditions

Recommended glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.96e-06 1.04e-08 -2.57e-11 8.88e-07 9.73e-10 0.239
nd
1.91082
Vd
35.25
glass code
911353
glass status
standard
density
value: 4970
thermal expansion
value: 6.8e-06, temperature range: 243 343; value: 8.2e-06, temperature range: 293 573
dPgF
-0.0026
resistance
acid: 1.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.14e-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
TAFD35 (HOYA), TAFD35: n and k versus wavelength
λ (µm)nk
0.365011.9808512.753659e-06
0.3659461.9801632.567355e-06
0.3668841.9794812.380573e-06
0.3678251.9788042.193312e-06
0.3687681.9781342.005571e-06
0.3697131.9774691.817348e-06
0.371.9772691.760300e-06
0.3706611.9768091.706821e-06
0.3716121.9761561.629971e-06
0.3725651.9755071.552925e-06
0.373521.9748641.475681e-06
0.3744771.9742271.398239e-06
0.3754381.9735951.320599e-06
0.37641.9729681.242759e-06
0.3773651.9723461.164720e-06
0.3783331.9717291.086481e-06
0.3793031.9711171.008041e-06
0.381.9706829.516700e-07
0.3802751.9705119.424229e-07
0.381251.9699099.096849e-07
0.3822281.9693128.768629e-07
0.3832081.968728.439568e-07
0.384191.9681328.109663e-07
0.3851761.967557.778912e-07
0.3861631.9669727.447313e-07
0.3871531.9663987.114864e-07
0.3881461.9658296.781562e-07
0.3891411.9652656.447406e-07
0.391.9647836.159000e-07
0.3901391.9647056.130494e-07
0.3911391.964155.925061e-07
0.3921421.9635985.719102e-07
0.3931471.9630525.512615e-07
0.3941551.9625095.305599e-07
0.3951661.961975.098052e-07
0.3961791.9614364.889972e-07
0.3971951.9609064.681359e-07
0.3982131.960384.472211e-07
0.3992341.9598584.262527e-07
0.41.959474.105300e-07
0.4002581.959344.083164e-07
0.4012841.9588253.995127e-07
0.4023131.9583153.906865e-07
0.4033451.9578093.818376e-07
0.4043791.9573063.729660e-07
0.4054161.9568073.640717e-07
0.4064551.9563123.551546e-07
0.4074971.955823.462146e-07
0.4085421.9553333.372517e-07
0.409591.9548483.282658e-07
0.410641.9543683.192569e-07
0.4116931.9538913.102249e-07
0.4127481.9534173.011697e-07
0.4138061.9529472.920913e-07
0.4148671.952482.829897e-07
0.4159311.9520172.738647e-07
0.4169981.9515572.647162e-07
0.4180671.95112.555444e-07
0.4191391.9506472.463490e-07
0.421.9502862.389600e-07
0.4202131.9501972.382091e-07
0.4212911.949752.344166e-07
0.4223711.9493062.306144e-07
0.4234541.9488662.268024e-07
0.424541.9484282.229807e-07
0.4256281.9479942.191492e-07
0.4267191.9475632.153078e-07
0.4278131.9471352.114566e-07
0.428911.946712.075955e-07
0.430011.9462872.037245e-07
0.4311131.9458681.998436e-07
0.4322181.9454521.959527e-07
0.4333261.9450381.920519e-07
0.4344371.9446281.881411e-07
0.4355511.944221.842202e-07
0.4366681.9438151.802893e-07
0.4377871.9434131.763483e-07
0.438911.9430141.723972e-07
0.441.942631.685600e-07
0.4400351.9426171.684861e-07
0.4411631.9422241.661202e-07
0.4422951.9418321.637482e-07
0.4434291.9414441.613701e-07
0.4445661.9410581.589860e-07
0.4457051.9406751.565957e-07
0.4468481.9402941.541993e-07
0.4479941.9399161.517968e-07
0.4491431.939541.493881e-07
0.4502941.9391671.469732e-07
0.4514491.9387971.445521e-07
0.4526061.9384291.421249e-07
0.4537671.9380631.396914e-07
0.454931.93771.372516e-07
0.4560971.9373391.348056e-07
0.4572661.9369811.323534e-07
0.4584381.9366251.298948e-07
0.4596141.9362711.274299e-07
0.461.9361561.266200e-07
0.4607921.935921.252800e-07
0.4619741.9355711.232817e-07
0.4631581.9352241.212782e-07
0.4643461.9348791.192695e-07
0.4655361.9345371.172557e-07
0.466731.9341971.152368e-07
0.4679271.9338591.132127e-07
0.4691261.9335241.111834e-07
0.4703291.933191.091488e-07
0.4715351.9328591.071091e-07
0.4727441.932531.050641e-07
0.4739561.9322031.030139e-07
0.4751711.9318781.009585e-07
0.476391.9315559.889774e-08
0.4776111.9312349.683172e-08
0.4788361.9309159.476041e-08
0.481.9306159.279100e-08
0.4800631.9305999.270031e-08
0.4812941.9302849.093931e-08
0.4825281.9299718.917379e-08
0.4837651.929668.740375e-08
0.4850061.9293518.562917e-08
0.4862491.9290458.385004e-08
0.4874961.928748.206635e-08
0.4887461.9284378.027808e-08
0.4899991.9281367.848523e-08
0.4912551.9278367.668778e-08
0.4925151.9275397.488572e-08
0.4937781.9272447.307905e-08
0.4950441.926957.126774e-08
0.4963131.9266586.945178e-08
0.4975861.9263686.763117e-08
0.4988611.926086.580590e-08
0.51.9258256.417700e-08
0.5001411.9257936.408303e-08
0.5014231.9255096.322561e-08
0.5027091.9252266.236598e-08
0.5039971.9249456.150415e-08
0.505291.9246656.064011e-08
0.5065851.9243875.977386e-08
0.5078841.9241115.890539e-08
0.5091861.9238375.803468e-08
0.5104921.9235645.716175e-08
0.5118011.9232935.628658e-08
0.5131131.9230245.540916e-08
0.5144291.9227565.452949e-08
0.5157481.922495.364757e-08
0.517071.9222255.276339e-08
0.5183961.9219625.187694e-08
0.5197251.9217015.098822e-08
0.5210571.9214415.009722e-08
0.5223931.9211834.920393e-08
0.5237331.9209264.830836e-08
0.5250761.9206714.741048e-08
0.5264221.9204184.651031e-08
0.5277721.9201654.560783e-08
0.5291251.9199154.470303e-08
0.5304811.9196664.379591e-08
0.5318421.9194184.288647e-08
0.5332051.9191724.197470e-08
0.5345721.9189274.106059e-08
0.5359431.9186844.014413e-08
0.5373171.9184423.922533e-08
0.5386951.9182023.830417e-08
0.5400761.9179633.738064e-08
0.5414611.9177253.645475e-08
0.5428491.9174893.552649e-08
0.5442411.9172543.459584e-08
0.5456361.9170213.366281e-08
0.5470351.9167893.272739e-08
0.5484381.9165583.178957e-08
0.5498441.9163283.084934e-08
0.551.9163033.074500e-08
0.5512541.91613.081508e-08
0.5526671.9158743.089409e-08
0.5540841.9156483.097330e-08
0.5555051.9154243.105272e-08
0.5569291.9152013.113234e-08
0.5583571.914983.121216e-08
0.5597891.9147593.129219e-08
0.5612241.914543.137242e-08
0.5626631.9143233.145286e-08
0.5641061.9141063.153350e-08
0.5655521.9138913.161435e-08
0.5670021.9136773.169541e-08
0.5684561.9134643.177667e-08
0.5699131.9132523.185815e-08
0.5713741.9130423.193983e-08
0.5728391.9128333.202173e-08
0.5743081.9126253.210383e-08
0.5757811.9124183.218614e-08
0.5772571.9122123.226867e-08
0.5787371.9120083.235140e-08
0.5802211.9118043.243435e-08
0.5817091.9116023.251751e-08
0.58321.9114013.260088e-08
0.5846951.9112013.268447e-08
0.5861951.9110023.276827e-08
0.5876971.9108053.285229e-08
0.5892041.9106083.293652e-08
0.5907151.9104123.302097e-08
0.592231.9102183.310563e-08
0.5937481.9100253.319052e-08
0.595271.9098323.327562e-08
0.5967971.9096413.336093e-08
0.5983271.9094513.344647e-08
0.5998611.9092623.353223e-08
0.61.9092453.354000e-08
0.6013991.9090743.347254e-08
0.6029411.9088873.339819e-08
0.6044871.9087013.332364e-08
0.6060371.9085163.324891e-08
0.6075911.9083323.317398e-08
0.6091481.9081493.309886e-08
0.610711.9079673.302355e-08
0.6122761.9077863.294805e-08
0.6138461.9076063.287235e-08
0.615421.9074273.279646e-08
0.6169981.9072493.272037e-08
0.618581.9070723.264409e-08
0.6201661.9068963.256761e-08
0.6217561.906723.249093e-08
0.623351.9065463.241406e-08
0.6249481.9063733.233700e-08
0.6265511.90623.225973e-08
0.6281571.9060293.218227e-08
0.6297681.9058593.210461e-08
0.6313821.9056893.202675e-08
0.6330011.905523.194868e-08
0.6346241.9053523.187042e-08
0.6362511.9051853.179196e-08
0.6378831.9050193.171330e-08
0.6395181.9048543.163444e-08
0.6411581.904693.155537e-08
0.6428021.9045273.147610e-08
0.644451.9043643.139663e-08
0.6461021.9042023.131695e-08
0.6477591.9040423.123707e-08
0.649421.9038823.115699e-08
0.651.9038263.112900e-08
0.6510851.9037223.105943e-08
0.6527541.9035643.095235e-08
0.6544281.9034073.084501e-08
0.6561061.903253.073738e-08
0.6577881.9030943.062948e-08
0.6594741.9029393.052131e-08
0.6611651.9027853.041286e-08
0.6628611.9026313.030413e-08
0.664561.9024793.019512e-08
0.6662641.9023273.008583e-08
0.6679721.9021762.997626e-08
0.6696851.9020252.986641e-08
0.6714021.9018762.975628e-08
0.6731231.9017272.964586e-08
0.6748491.9015792.953517e-08
0.676581.9014322.942419e-08
0.6783141.9012852.931292e-08
0.6800531.9011392.920137e-08
0.6817971.9009942.908953e-08
0.6835451.900852.897741e-08
0.6852981.9007062.886500e-08
0.6870551.9005642.875230e-08
0.6888161.9004212.863931e-08
0.6905831.900282.852603e-08
0.6923531.9001392.841246e-08
0.6941281.8999992.829861e-08
0.6959081.899862.818445e-08
0.6976921.8997212.807001e-08
0.6994811.8995832.795527e-08
0.71.8995442.792200e-08
0.7012751.8994462.782000e-08
0.7030731.899312.767612e-08
0.7048751.8991742.753187e-08
0.7066831.8990382.738725e-08
0.7084951.8989042.724226e-08
0.7103111.898772.709690e-08
0.7121321.8986372.695117e-08
0.7139581.8985042.680506e-08
0.7157891.8983722.665858e-08
0.7176241.8982412.651172e-08
0.7194641.898112.636449e-08
0.7213091.897982.621688e-08
0.7231581.8978512.606889e-08
0.7250121.8977222.592052e-08
0.7268711.8975942.577177e-08
0.7287351.8974662.562264e-08
0.7306031.8973392.547312e-08
0.7324771.8972132.532323e-08
0.7343551.8970872.517294e-08
0.7362371.8969622.502228e-08
0.7381251.8968372.487123e-08
0.7400181.8967142.471978e-08
0.7419151.896592.456796e-08
0.7438171.8964672.441574e-08
0.7457241.8963452.426313e-08
0.7476361.8962232.411013e-08
0.7495531.8961022.395674e-08
0.751.8960742.392100e-08
0.7514751.8959822.396806e-08
0.7534021.8958622.402952e-08
0.7553341.8957422.409114e-08
0.757271.8956242.415292e-08
0.7592121.8955052.421486e-08
0.7611591.8953872.427696e-08
0.763111.895272.433921e-08
0.7650671.8951542.440163e-08
0.7670281.8950372.446420e-08
0.7689951.8949222.452694e-08
0.7709671.8948072.458983e-08
0.7729431.8946922.465289e-08
0.7749251.8945782.471611e-08
0.7769121.8944642.477949e-08
0.7789041.8943512.484304e-08
0.781.8942892.487800e-08
0.7809011.8942392.490674e-08
0.7829031.8941272.497061e-08
0.7849111.8940152.503465e-08
0.7869231.8939042.509885e-08
0.7889411.8937942.516321e-08
0.7909641.8936832.522774e-08
0.7929921.8935742.529243e-08
0.7950251.8934652.535729e-08
0.7970631.8933562.542232e-08
0.7991071.8932482.548751e-08
0.81.8932012.551600e-08
0.8011561.893142.555287e-08
0.803211.8930332.561839e-08
0.8052691.8929262.568409e-08
0.8073341.892822.574995e-08
0.8094041.8927142.581599e-08
0.8114791.8926092.588219e-08
0.813561.8925042.594856e-08
0.8156461.8923992.601510e-08
0.8177371.8922952.608181e-08
0.8198341.8921912.614870e-08
0.8219361.8920882.621575e-08
0.8240431.8919852.628298e-08
0.8261561.8918832.635038e-08
0.8282741.8917812.641795e-08
0.831.8916982.647300e-08
0.8303981.8916792.648569e-08
0.8325271.8915782.655361e-08
0.8346621.8914782.662170e-08
0.8368021.8913772.668997e-08
0.8389471.8912782.675841e-08
0.8410981.8911782.682703e-08
0.8432551.8910792.689583e-08
0.8454171.890982.696480e-08
0.8475841.8908822.703394e-08
0.8497581.8907842.710327e-08
0.851.8907732.711100e-08
0.8519361.8906872.717273e-08
0.8541211.890592.724237e-08
0.8563111.8904932.731218e-08
0.8585061.8903972.738218e-08
0.8607071.8903012.745235e-08
0.8629141.8902052.752270e-08
0.8651271.890112.759324e-08
0.8673451.8900152.766395e-08
0.8695691.889922.773485e-08
0.8717981.8898262.780593e-08
0.8740331.8897322.787719e-08
0.8762741.8896392.794863e-08
0.8785211.8895462.802026e-08
0.8807741.8894532.809207e-08
0.8830321.8893612.816406e-08
0.8852961.8892692.823624e-08
0.8875661.8891772.830860e-08
0.8898421.8890862.838115e-08
0.8921231.8889952.845389e-08
0.8944111.8889042.852681e-08
0.8967041.8888142.859992e-08
0.8990031.8887242.867321e-08
0.91.8886852.870500e-08
0.9013081.8886342.894536e-08
0.9036191.8885442.937006e-08
0.9059361.8884552.979585e-08
0.9082581.8883673.022274e-08
0.9105871.8882783.065071e-08
0.9129221.888193.107979e-08
0.9152631.8881023.150996e-08
0.9176091.8880153.194124e-08
0.9199621.8879273.237362e-08
0.9223211.8878413.280711e-08
0.9246861.8877543.324172e-08
0.9270561.8876683.367743e-08
0.9294331.8875813.411427e-08
0.9318161.8874963.455222e-08
0.9342061.887413.499130e-08
0.9366011.8873253.543150e-08
0.9390021.887243.587283e-08
0.941411.8871553.631530e-08
0.9438241.8870713.675890e-08
0.9462441.8869873.720363e-08
0.948671.8869033.764951e-08
0.951.8868573.789400e-08
0.9511021.886823.811431e-08
0.9535411.8867363.860184e-08
0.9559851.8866533.909061e-08
0.9584371.886573.958064e-08
0.9608941.8864884.007192e-08
0.9633581.8864064.056446e-08
0.9658281.8863244.105827e-08
0.9683041.8862424.155334e-08
0.9707871.886164.204968e-08
0.9732761.8860794.254730e-08
0.9757711.8859984.304619e-08
0.9782731.8859174.354635e-08
0.9807811.8858374.404781e-08
0.9832961.8857564.455054e-08
0.9858171.8856764.505457e-08
0.9883451.8855964.555989e-08
0.9908791.8855174.606650e-08
0.9934191.8854374.657441e-08
0.9959671.8853584.708363e-08
0.998521.8852794.759415e-08
11.8852344.789000e-08
1.001081.88524.794175e-08
1.003651.8851224.806469e-08
1.006221.8850444.818796e-08
1.00881.8849654.831153e-08
1.011391.8848884.843543e-08
1.013981.884814.855964e-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
—