Optical constants

Refractive index of TAFD65 (HOYA)

TAFD65: 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
2.05089
Extinction coefficient k
3.36139e-08
Permittivity ε1
4.20615
Permittivity ε2
1.37877e-07
Absorption coefficient α
0.00718864 cm⁻¹
Penetration depth δ = λ/(2πk)
2.78217e+09 nm
Abbe number Vd
26.942
Chromatic dispersion dn/dλ
-0.195952 µm⁻¹
Group index ng
2.16603
Group velocity dispersion
399.966 fs²/mm
Dispersion parameter D
-2182.03 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

# TAFD65 (HOYA): TAFD65
hoya_tafd65 = ls.fetch_refractiveindex("specs", "HOYA-optical", "TAFD65", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_tafd65.range_nm)  # (365.01, 1013.98) nm
eps = hoya_tafd65.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=4.0113202−0.017752009⁢λ2.0+0.05856933⁢λ−2.0+0.0043200932⁢λ−4.0−0.00031070842⁢λ−6.0+3.7485638×10-5⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C14.0113202
C2-0.017752009
C32.0
C40.05856933
C5-2.0
C60.0043200932
C7-4.0
C8-0.00031070842
C9-6.0
C103.7485638e-05
C11-8.0

Comments and conditions

Recommended glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -6.69e-07 9.68e-09 -3.75e-11 1.14e-06 1.22e-09 0.264
nd
2.05090
Vd
26.94
glass status
standard
density
value: 5270
thermal expansion
value: 7.3e-06, temperature range: 243 343; value: 8.9e-06, temperature range: 293 573
dPgF
0.0055
resistance
acid: 1.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.16e-06 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
TAFD65 (HOYA), TAFD65: n and k versus wavelength
λ (µm)nk
0.365012.163220
0.3659462.162030
0.3668842.1608520
0.3678252.1596860
0.3687682.1585320
0.3697132.1573890
0.372.1570467.189700e-06
0.3706612.1562586.968786e-06
0.3716122.1551386.651336e-06
0.3725652.1540296.333072e-06
0.373522.1529316.013993e-06
0.3744772.1518435.694095e-06
0.3754382.1507675.373376e-06
0.37642.14975.051836e-06
0.3773652.1486444.729471e-06
0.3783332.1475994.406279e-06
0.3793032.1465634.082259e-06
0.382.1458263.849400e-06
0.3802752.1455373.808101e-06
0.381252.1445213.661888e-06
0.3822282.1435153.515300e-06
0.3832082.1425183.368336e-06
0.384192.141533.220996e-06
0.3851762.1405523.073277e-06
0.3861632.1395832.925180e-06
0.3871532.1386222.776703e-06
0.3881462.1376712.627846e-06
0.3891412.1367282.478607e-06
0.392.1359242.349800e-06
0.3901392.1357942.339095e-06
0.3911392.1348692.261952e-06
0.3921422.1339522.184611e-06
0.3931472.1330432.107071e-06
0.3941552.1321422.029333e-06
0.3951662.131251.951395e-06
0.3961792.1303651.873258e-06
0.3971952.1294881.794920e-06
0.3982132.1286191.716382e-06
0.3992342.1277581.637642e-06
0.42.1271191.578600e-06
0.4002582.1269041.568892e-06
0.4012842.1260581.530281e-06
0.4023132.1252191.491572e-06
0.4033452.1243881.452763e-06
0.4043792.1235631.413854e-06
0.4054162.1227461.374846e-06
0.4064552.1219361.335738e-06
0.4074972.1211321.296530e-06
0.4085422.1203361.257221e-06
0.409592.1195461.217811e-06
0.410642.1187631.178301e-06
0.4116932.1179861.138689e-06
0.4127482.1172161.098975e-06
0.4138062.1164521.059160e-06
0.4148672.1156951.019242e-06
0.4159312.1149449.792224e-07
0.4169982.1141999.391000e-07
0.4180672.1134618.988747e-07
0.4191392.1127288.585462e-07
0.422.1121458.261400e-07
0.4202132.1120028.226153e-07
0.4212912.1112818.048126e-07
0.4223712.1105667.869643e-07
0.4234542.1098577.690703e-07
0.424542.1091547.511304e-07
0.4256282.1084567.331444e-07
0.4267192.1077647.151124e-07
0.4278132.1070776.970341e-07
0.428912.1063966.789095e-07
0.430012.105726.607384e-07
0.4311132.1050496.425207e-07
0.4322182.1043846.242563e-07
0.4333262.1037246.059451e-07
0.4344372.1030695.875869e-07
0.4355512.1024195.691817e-07
0.4366682.1017755.507293e-07
0.4377872.1011355.322295e-07
0.438912.10055.136823e-07
0.442.099894.956700e-07
0.4400352.099874.953836e-07
0.4411632.0992454.862173e-07
0.4422952.0986244.770274e-07
0.4434292.0980094.678140e-07
0.4445662.0973984.585770e-07
0.4457052.0967914.493163e-07
0.4468482.0961894.400318e-07
0.4479942.0955924.307235e-07
0.4491432.0949994.213914e-07
0.4502942.0944114.120353e-07
0.4514492.0938274.026552e-07
0.4526062.0932473.932511e-07
0.4537672.0926723.838229e-07
0.454932.09213.743705e-07
0.4560972.0915333.648939e-07
0.4572662.090973.553930e-07
0.4584382.0904123.458677e-07
0.4596142.0898573.363180e-07
0.462.0896763.331800e-07
0.4607922.0893063.291838e-07
0.4619742.088763.232239e-07
0.4631582.0882173.172488e-07
0.4643462.0876783.112583e-07
0.4655362.0871433.052525e-07
0.466732.0866122.992313e-07
0.4679272.0860852.931946e-07
0.4691262.0855612.871425e-07
0.4703292.0850412.810749e-07
0.4715352.0845252.749916e-07
0.4727442.0840132.688928e-07
0.4739562.0835042.627784e-07
0.4751712.0829992.566483e-07
0.476392.0824972.505025e-07
0.4776112.0819982.443409e-07
0.4788362.0815042.381635e-07
0.482.0810382.322900e-07
0.4800632.0810122.320423e-07
0.4812942.0805242.272327e-07
0.4825282.080042.224108e-07
0.4837652.0795592.175765e-07
0.4850062.0790812.127298e-07
0.4862492.0786062.078706e-07
0.4874962.0781352.029990e-07
0.4887462.0776671.981150e-07
0.4899992.0772021.932184e-07
0.4912552.076741.883092e-07
0.4925152.0762811.833875e-07
0.4937782.0758261.784531e-07
0.4950442.0753731.735061e-07
0.4963132.0749241.685464e-07
0.4975862.0744781.635740e-07
0.4988612.0740341.585888e-07
0.52.0736421.541400e-07
0.5001412.0735941.538428e-07
0.5014232.0731571.511312e-07
0.5027092.0727221.484126e-07
0.5039972.072291.456871e-07
0.505292.0718621.429546e-07
0.5065852.0714361.402150e-07
0.5078842.0710131.374685e-07
0.5091862.0705921.347149e-07
0.5104922.0701751.319542e-07
0.5118012.069761.291865e-07
0.5131132.0693481.264116e-07
0.5144292.0689391.236297e-07
0.5157482.0685321.208406e-07
0.517072.0681281.180444e-07
0.5183962.0677261.152410e-07
0.5197252.0673281.124304e-07
0.5210572.0669311.096126e-07
0.5223932.0665381.067875e-07
0.5237332.0661471.039553e-07
0.5250762.0657581.011157e-07
0.5264222.0653729.826893e-08
0.5277722.0649889.541482e-08
0.5291252.0646079.255339e-08
0.5304812.0642298.968463e-08
0.5318422.0638528.680851e-08
0.5332052.0634788.392502e-08
0.5345722.0631078.103413e-08
0.5359432.0627387.813584e-08
0.5373172.0623717.523011e-08
0.5386952.0620067.231693e-08
0.5400762.0616446.939628e-08
0.5414612.0612846.646814e-08
0.5428492.0609276.353250e-08
0.5442412.0605716.058933e-08
0.5456362.0602185.763861e-08
0.5470352.0598675.468032e-08
0.5484382.0595185.171446e-08
0.5498442.0591724.874098e-08
0.552.0591334.841100e-08
0.5512542.0588274.791761e-08
0.5526672.0584854.736138e-08
0.5540842.0581454.680372e-08
0.5555052.0578074.624464e-08
0.5569292.0574714.568412e-08
0.5583572.0571374.512217e-08
0.5597892.0568054.455877e-08
0.5612242.0564754.399393e-08
0.5626632.0561484.342764e-08
0.5641062.0558224.285990e-08
0.5655522.0554984.229071e-08
0.5670022.0551764.172005e-08
0.5684562.0548564.114793e-08
0.5699132.0545394.057435e-08
0.5713742.0542233.999929e-08
0.5728392.0539093.942276e-08
0.5743082.0535973.884475e-08
0.5757812.0532863.826526e-08
0.5772572.0529783.768429e-08
0.5787372.0526713.710182e-08
0.5802212.0523673.651786e-08
0.5817092.0520643.593241e-08
0.58322.0517633.534545e-08
0.5846952.0514643.475699e-08
0.5861952.0511663.416701e-08
0.5876972.0508713.357553e-08
0.5892042.0505773.298253e-08
0.5907152.0502853.238801e-08
0.592232.0499953.179196e-08
0.5937482.0497063.119439e-08
0.595272.0494193.059528e-08
0.5967972.0491342.999464e-08
0.5983272.048852.939246e-08
0.5998612.0485682.878873e-08
0.62.0485432.873400e-08
0.6013992.0482882.865549e-08
0.6029412.048012.856896e-08
0.6044872.0477332.848220e-08
0.6060372.0474572.839522e-08
0.6075912.0471842.830802e-08
0.6091482.0469122.822059e-08
0.610712.0466412.813294e-08
0.6122762.0463722.804507e-08
0.6138462.0461052.795697e-08
0.615422.0458392.786864e-08
0.6169982.0455752.778009e-08
0.618582.0453122.769131e-08
0.6201662.0450512.760230e-08
0.6217562.0447912.751306e-08
0.623352.0445332.742360e-08
0.6249482.0442772.733391e-08
0.6265512.0440212.724398e-08
0.6281572.0437682.715383e-08
0.6297682.0435152.706344e-08
0.6313822.0432642.697282e-08
0.6330012.0430152.688198e-08
0.6346242.0427672.679089e-08
0.6362512.042522.669958e-08
0.6378832.0422752.660803e-08
0.6395182.0420312.651624e-08
0.6411582.0417892.642422e-08
0.6428022.0415482.633197e-08
0.644452.0413082.623947e-08
0.6461022.041072.614674e-08
0.6477592.0408332.605378e-08
0.649422.0405972.596057e-08
0.652.0405162.592800e-08
0.6510852.0403632.584986e-08
0.6527542.040132.572960e-08
0.6544282.0398982.560903e-08
0.6561062.0396682.548815e-08
0.6577882.0394392.536696e-08
0.6594742.0392112.524546e-08
0.6611652.0389842.512365e-08
0.6628612.0387592.500153e-08
0.664562.0385352.487909e-08
0.6662642.0383122.475634e-08
0.6679722.0380912.463328e-08
0.6696852.037872.450990e-08
0.6714022.0376512.438620e-08
0.6731232.0374332.426219e-08
0.6748492.0372172.413786e-08
0.676582.0370012.401321e-08
0.6783142.0367872.388824e-08
0.6800532.0365732.376295e-08
0.6817972.0363612.363734e-08
0.6835452.036152.351140e-08
0.6852982.0359412.338515e-08
0.6870552.0357322.325857e-08
0.6888162.0355252.313166e-08
0.6905832.0353182.300443e-08
0.6923532.0351132.287687e-08
0.6941282.0349092.274899e-08
0.6959082.0347062.262078e-08
0.6976922.0345042.249224e-08
0.6994812.0343032.236337e-08
0.72.0342452.232600e-08
0.7012752.0341032.221398e-08
0.7030732.0339052.205597e-08
0.7048752.0337072.189755e-08
0.7066832.033512.173873e-08
0.7084952.0333152.157950e-08
0.7103112.033122.141986e-08
0.7121322.0329272.125981e-08
0.7139582.0327342.109935e-08
0.7157892.0325432.093848e-08
0.7176242.0323522.077720e-08
0.7194642.0321632.061550e-08
0.7213092.0319742.045339e-08
0.7231582.0317872.029086e-08
0.7250122.03162.012792e-08
0.7268712.0314151.996456e-08
0.7287352.031231.980078e-08
0.7306032.0310471.963658e-08
0.7324772.0308641.947196e-08
0.7343552.0306821.930692e-08
0.7362372.0305021.914145e-08
0.7381252.0303221.897556e-08
0.7400182.0301431.880925e-08
0.7419152.0299651.864250e-08
0.7438172.0297881.847533e-08
0.7457242.0296121.830774e-08
0.7476362.0294361.813971e-08
0.7495532.0292621.797125e-08
0.752.0292221.793200e-08
0.7514752.0290891.796726e-08
0.7534022.0289161.801331e-08
0.7553342.0287441.805947e-08
0.757272.0285731.810576e-08
0.7592122.0284031.815216e-08
0.7611592.0282341.819869e-08
0.763112.0280661.824533e-08
0.7650672.0278981.829209e-08
0.7670282.0277321.833898e-08
0.7689952.0275661.838598e-08
0.7709672.0274011.843310e-08
0.7729432.0272371.848035e-08
0.7749252.0270731.852771e-08
0.7769122.0269111.857520e-08
0.7789042.0267491.862281e-08
0.782.026661.864900e-08
0.7809012.0265881.867054e-08
0.7829032.0264281.871839e-08
0.7849112.0262681.876636e-08
0.7869232.026111.881446e-08
0.7889412.0259521.886268e-08
0.7909642.0257951.891103e-08
0.7929922.0256391.895950e-08
0.7950252.0254831.900809e-08
0.7970632.0253281.905681e-08
0.7991072.0251741.910565e-08
0.82.0251071.912700e-08
0.8011562.0250211.864472e-08
0.803212.0248681.778754e-08
0.8052692.0247161.692817e-08
0.8073342.0245651.606659e-08
0.8094042.0244151.520280e-08
0.8114792.0242651.433680e-08
0.813562.0241161.346858e-08
0.8156462.0239681.259813e-08
0.8177372.023821.172544e-08
0.8198342.0236731.085053e-08
0.8219362.0235279.973365e-09
0.8240432.0233819.093954e-09
0.8261562.0232368.212288e-09
0.8282742.0230927.328362e-09
0.832.0229756.608200e-09
0.8303982.0229486.611369e-09
0.8325272.0228056.628327e-09
0.8346622.0226636.645329e-09
0.8368022.0225226.662375e-09
0.8389472.0223816.679464e-09
0.8410982.022246.696597e-09
0.8432552.02216.713774e-09
0.8454172.0219616.730995e-09
0.8475842.0218236.748260e-09
0.8497582.0216856.765569e-09
0.852.021676.767500e-09
0.8519362.0215487.060682e-09
0.8541212.0214117.391413e-09
0.8563112.0212757.722991e-09
0.8585062.021148.055420e-09
0.8607072.0210058.388701e-09
0.8629142.0208718.722836e-09
0.8651272.0207379.057828e-09
0.8673452.0206049.393679e-09
0.8695692.0204729.730391e-09
0.8717982.020341.006797e-08
0.8740332.0202091.040641e-08
0.8762742.0200781.074572e-08
0.8785212.0199481.108590e-08
0.8807742.0198181.142695e-08
0.8830322.0196891.176887e-08
0.8852962.019561.211167e-08
0.8875662.0194321.245536e-08
0.8898422.0193051.279992e-08
0.8921232.0191781.314536e-08
0.8944112.0190511.349169e-08
0.8967042.0189261.383891e-08
0.8990032.01881.418702e-08
0.92.0187461.433800e-08
0.9013082.0186751.435885e-08
0.9036192.0185511.439568e-08
0.9059362.0184271.443261e-08
0.9082582.0183041.446964e-08
0.9105872.0181811.450676e-08
0.9129222.0180591.454398e-08
0.9152632.0179371.458129e-08
0.9176092.0178161.461869e-08
0.9199622.0176951.465619e-08
0.9223212.0175741.469379e-08
0.9246862.0174541.473149e-08
0.9270562.0173351.476928e-08
0.9294332.0172161.480717e-08
0.9318162.0170971.484515e-08
0.9342062.0169791.488324e-08
0.9366012.0168621.492142e-08
0.9390022.0167451.495970e-08
0.941412.0166281.499807e-08
0.9438242.0165121.503655e-08
0.9462442.0163961.507512e-08
0.948672.0162811.511379e-08
0.952.0162181.513500e-08
0.9511022.0161661.515254e-08
0.9535412.0160511.519137e-08
0.9559852.0159371.523029e-08
0.9584372.0158231.526931e-08
0.9608942.015711.530843e-08
0.9633582.0155971.534765e-08
0.9658282.0154851.538698e-08
0.9683042.0153731.542640e-08
0.9707872.0152611.546592e-08
0.9732762.015151.550555e-08
0.9757712.0150391.554528e-08
0.9782732.0149291.558511e-08
0.9807812.0148191.562504e-08
0.9832962.0147091.566507e-08
0.9858172.01461.570521e-08
0.9883452.0144911.574545e-08
0.9908792.0143821.578579e-08
0.9934192.0142741.582624e-08
0.9959672.0141661.586679e-08
0.998522.0140591.590744e-08
12.0139971.593100e-08
1.001082.0139521.594822e-08
1.003652.0138451.598913e-08
1.006222.0137391.603015e-08
1.00882.0136331.607128e-08
1.011392.0135271.611251e-08
1.013982.0134221.615384e-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
—