Optical constants

Refractive index of TAFD40 (HOYA)

TAFD40: 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
2.00069
Extinction coefficient k
3.47120e-08
Permittivity ε1
4.00275
Permittivity ε2
1.38896e-07
Absorption coefficient α
0.00742349 cm⁻¹
Penetration depth δ = λ/(2πk)
2.69415e+09 nm
Abbe number Vd
25.458
Chromatic dispersion dn/dλ
-0.196788 µm⁻¹
Group index ng
2.11632
Group velocity dispersion
406.108 fs²/mm
Dispersion parameter D
-2215.53 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

# TAFD40 (HOYA): TAFD40
hoya_tafd40 = ls.fetch_refractiveindex("specs", "HOYA-optical", "TAFD40", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_tafd40.range_nm)  # (365.01, 1013.98) nm
eps = hoya_tafd40.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=3.8106232−0.016351565⁢λ2.0+0.058801097⁢λ−2.0+0.0034919026⁢λ−4.0−0.0001694811⁢λ−6.0+3.2569333×10-5⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.8106232
C2-0.016351565
C32.0
C40.058801097
C5-2.0
C60.0034919026
C7-4.0
C8-0.0001694811
C9-6.0
C103.2569333e-05
C11-8.0

Comments and conditions

Recommended glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -1.53e-06 7.62e-09 -3.12e-11 1.08e-06 1.19e-09 0.287
nd
2.00069
Vd
25.46
glass status
standard
density
value: 4730
thermal expansion
value: 7.2e-06, temperature range: 243 343; value: 8.7e-06, temperature range: 293 573
dPgF
0.0111
resistance
acid: 1.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.39e-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
TAFD40 (HOYA), TAFD40: n and k versus wavelength
λ (µm)nk
0.365012.1161770
0.3659462.1149310
0.3668842.1136970
0.3678252.1124770
0.3687682.1112690
0.3697132.1100730
0.372.1097139.552100e-06
0.3706612.1088899.224086e-06
0.3716122.1077188.752734e-06
0.3725652.1065588.280174e-06
0.373522.105417.806402e-06
0.3744772.1042737.331415e-06
0.3754382.1031486.855210e-06
0.37642.1020346.377785e-06
0.3773652.1009315.899135e-06
0.3783332.0998395.419258e-06
0.3793032.0987584.938151e-06
0.382.0979894.592400e-06
0.3802752.0976884.535902e-06
0.381252.0966274.335878e-06
0.3822282.0955784.135341e-06
0.3832082.0945383.934290e-06
0.384192.0935083.732723e-06
0.3851762.0924893.530640e-06
0.3861632.0914793.328038e-06
0.3871532.0904783.124917e-06
0.3881462.0894882.921275e-06
0.3891412.0885062.717112e-06
0.392.0876692.540900e-06
0.3901392.0875342.528054e-06
0.3911392.0865712.435476e-06
0.3921422.0856172.342660e-06
0.3931472.0846722.249607e-06
0.3941552.0837352.156315e-06
0.3951662.0828082.062784e-06
0.3961792.0818891.969013e-06
0.3971952.0809781.875001e-06
0.3982132.0800761.780749e-06
0.3992342.0791811.686255e-06
0.42.0785181.615400e-06
0.4002582.0782951.605162e-06
0.4012842.0774171.564443e-06
0.4023132.0765471.523620e-06
0.4033452.0756851.482693e-06
0.4043792.074831.441660e-06
0.4054162.0739831.400523e-06
0.4064552.0731441.359279e-06
0.4074972.0723121.317931e-06
0.4085422.0714871.276476e-06
0.409592.0706691.234914e-06
0.410642.0698591.193247e-06
0.4116932.0690561.151472e-06
0.4127482.0682591.109590e-06
0.4138062.067471.067601e-06
0.4148672.0666871.025505e-06
0.4159312.0659119.832999e-07
0.4169982.0651429.409870e-07
0.4180672.0643798.985656e-07
0.4191392.0636238.560354e-07
0.422.0630218.218600e-07
0.4202132.0628738.181664e-07
0.4212912.062137.995110e-07
0.4223712.0613927.808078e-07
0.4234542.0606617.620566e-07
0.424542.0599367.432573e-07
0.4256282.0592177.244098e-07
0.4267192.0585047.055140e-07
0.4278132.0577976.865698e-07
0.428912.0570966.675770e-07
0.430012.05646.485354e-07
0.4311132.055716.294451e-07
0.4322182.0550266.103058e-07
0.4333262.0543475.911175e-07
0.4344372.0536745.718799e-07
0.4355512.0530065.525930e-07
0.4366682.0523445.332567e-07
0.4377872.0516875.138708e-07
0.438912.0510354.944352e-07
0.442.0504084.755600e-07
0.4400352.0503884.752668e-07
0.4411632.0497474.658822e-07
0.4422952.049114.564734e-07
0.4434292.0484794.470406e-07
0.4445662.0478524.375835e-07
0.4457052.0472314.281023e-07
0.4468482.0466144.185967e-07
0.4479942.0460024.090667e-07
0.4491432.0453953.995123e-07
0.4502942.0447923.899334e-07
0.4514492.0441943.803299e-07
0.4526062.0436013.707018e-07
0.4537672.0430123.610491e-07
0.454932.0424283.513716e-07
0.4560972.0418483.416692e-07
0.4572662.0412733.319420e-07
0.4584382.0407023.221899e-07
0.4596142.0401353.124127e-07
0.462.039953.092000e-07
0.4607922.0395733.055115e-07
0.4619742.0390153.000107e-07
0.4631582.0384612.944957e-07
0.4643462.0379112.889666e-07
0.4655362.0373652.834233e-07
0.466732.0368232.778658e-07
0.4679272.0362852.722941e-07
0.4691262.0357522.667081e-07
0.4703292.0352222.611077e-07
0.4715352.0346962.554930e-07
0.4727442.0341742.498639e-07
0.4739562.0336552.442204e-07
0.4751712.0331412.385623e-07
0.476392.032632.328898e-07
0.4776112.0321232.272028e-07
0.4788362.0316192.215011e-07
0.482.0311452.160800e-07
0.4800632.0311192.158837e-07
0.4812942.0306232.120717e-07
0.4825282.030132.082499e-07
0.4837652.0296412.044184e-07
0.4850062.0291552.005770e-07
0.4862492.0286731.967257e-07
0.4874962.0281941.928646e-07
0.4887462.0277191.889936e-07
0.4899992.0272471.851127e-07
0.4912552.0267781.812218e-07
0.4925152.0263121.773209e-07
0.4937782.025851.734100e-07
0.4950442.0253911.694891e-07
0.4963132.0249351.655582e-07
0.4975862.0244831.616172e-07
0.4988612.0240331.576660e-07
0.52.0236361.541400e-07
0.5001412.0235871.538553e-07
0.5014232.0231431.512572e-07
0.5027092.0227031.486525e-07
0.5039972.0222661.460411e-07
0.505292.0218321.434230e-07
0.5065852.02141.407982e-07
0.5078842.0209721.381667e-07
0.5091862.0205461.355284e-07
0.5104922.0201241.328834e-07
0.5118012.0197041.302315e-07
0.5131132.0192871.275729e-07
0.5144292.0188731.249075e-07
0.5157482.0184621.222352e-07
0.517072.0180531.195561e-07
0.5183962.0176471.168701e-07
0.5197252.0172441.141772e-07
0.5210572.0168441.114774e-07
0.5223932.0164461.087707e-07
0.5237332.0160511.060570e-07
0.5250762.0156581.033364e-07
0.5264222.0152691.006088e-07
0.5277722.0148819.787427e-08
0.5291252.0144969.513268e-08
0.5304812.0141149.238406e-08
0.5318422.0137348.962840e-08
0.5332052.0133578.686567e-08
0.5345722.0129828.409586e-08
0.5359432.012618.131894e-08
0.5373172.012247.853491e-08
0.5386952.0118727.574373e-08
0.5400762.0115077.294540e-08
0.5414612.0111447.013990e-08
0.5428492.0107846.732720e-08
0.5442412.0104256.450729e-08
0.5456362.0100696.168015e-08
0.5470352.0097165.884576e-08
0.5484382.0093645.600410e-08
0.5498442.0090155.315516e-08
0.552.0089775.283900e-08
0.5512542.0086685.223458e-08
0.5526672.0083245.155318e-08
0.5540842.0079815.087003e-08
0.5555052.0076415.018514e-08
0.5569292.0073034.949848e-08
0.5583572.0069674.881007e-08
0.5597892.0066334.811989e-08
0.5612242.0063014.742794e-08
0.5626632.0059714.673422e-08
0.5641062.0056434.603872e-08
0.5655522.0053184.534143e-08
0.5670022.0049944.464236e-08
0.5684562.0046724.394150e-08
0.5699132.0043534.323883e-08
0.5713742.0040354.253437e-08
0.5728392.0037194.182810e-08
0.5743082.0034064.112002e-08
0.5757812.0030944.041013e-08
0.5772572.0027843.969841e-08
0.5787372.0024763.898487e-08
0.5802212.002173.826950e-08
0.5817092.0018663.755229e-08
0.58322.0015633.683325e-08
0.5846952.0012633.611236e-08
0.5861952.0009643.538963e-08
0.5876972.0006673.466504e-08
0.5892042.0003723.393859e-08
0.5907152.0000793.321028e-08
0.592231.9997873.248011e-08
0.5937481.9994973.174806e-08
0.595271.9992093.101413e-08
0.5967971.9989233.027833e-08
0.5983271.9986392.954063e-08
0.5998611.9983562.880105e-08
0.61.998332.873400e-08
0.6013991.9980742.836487e-08
0.6029411.9977952.795801e-08
0.6044871.9975172.755010e-08
0.6060371.9972412.714115e-08
0.6075911.9969662.673115e-08
0.6091481.9966932.632010e-08
0.610711.9964222.590799e-08
0.6122761.9961522.549483e-08
0.6138461.9958842.508061e-08
0.615421.9956182.466532e-08
0.6169981.9953532.424897e-08
0.618581.9950892.383156e-08
0.6201661.9948282.341307e-08
0.6217561.9945672.299351e-08
0.623351.9943082.257288e-08
0.6249481.9940512.215116e-08
0.6265511.9937952.172837e-08
0.6281571.9935412.130449e-08
0.6297681.9932882.087952e-08
0.6313821.9930372.045346e-08
0.6330011.9927872.002632e-08
0.6346241.9925381.959807e-08
0.6362511.9922911.916873e-08
0.6378831.9920461.873829e-08
0.6395181.9918011.830674e-08
0.6411581.9915581.787409e-08
0.6428021.9913171.744033e-08
0.644451.9910771.700546e-08
0.6461021.9908381.656947e-08
0.6477591.9906011.613236e-08
0.649421.9903651.569413e-08
0.651.9902831.554100e-08
0.6510851.990131.556692e-08
0.6527541.9898971.560682e-08
0.6544281.9896651.564682e-08
0.6561061.9894341.568693e-08
0.6577881.9892051.572713e-08
0.6594741.9889761.576744e-08
0.6611651.988751.580785e-08
0.6628611.9885241.584837e-08
0.664561.98831.588899e-08
0.6662641.9880771.592971e-08
0.6679721.9878551.597054e-08
0.6696851.9876341.601147e-08
0.6714021.9874151.605251e-08
0.6731231.9871971.609365e-08
0.6748491.986981.613490e-08
0.676581.9867641.617625e-08
0.6783141.9865491.621771e-08
0.6800531.9863361.625928e-08
0.6817971.9861241.630095e-08
0.6835451.9859131.634273e-08
0.6852981.9857031.638462e-08
0.6870551.9854941.642661e-08
0.6888161.9852871.646871e-08
0.6905831.985081.651092e-08
0.6923531.9848751.655324e-08
0.6941281.984671.659567e-08
0.6959081.9844671.663820e-08
0.6976921.9842651.668085e-08
0.6994811.9840641.672360e-08
0.71.9840061.673600e-08
0.7012751.9838641.661396e-08
0.7030731.9836661.644182e-08
0.7048751.9834681.626923e-08
0.7066831.9832711.609620e-08
0.7084951.9830761.592273e-08
0.7103111.9828811.574881e-08
0.7121321.9826871.557445e-08
0.7139581.9824951.539964e-08
0.7157891.9823031.522438e-08
0.7176241.9821131.504867e-08
0.7194641.9819231.487251e-08
0.7213091.9817351.469590e-08
0.7231581.9815471.451884e-08
0.7250121.9813611.434132e-08
0.7268711.9811751.416335e-08
0.7287351.9809911.398492e-08
0.7306031.9808071.380604e-08
0.7324771.9806251.362669e-08
0.7343551.9804431.344689e-08
0.7362371.9802621.326662e-08
0.7381251.9800821.308590e-08
0.7400181.9799031.290471e-08
0.7419151.9797251.272305e-08
0.7438171.9795481.254093e-08
0.7457241.9793721.235834e-08
0.7476361.9791971.217529e-08
0.7495531.9790221.199176e-08
0.751.9789821.194900e-08
0.7514751.9788491.197250e-08
0.7534021.9786761.200320e-08
0.7553341.9785051.203398e-08
0.757271.9783341.206484e-08
0.7592121.9781641.209578e-08
0.7611591.9779951.212679e-08
0.763111.9778261.215789e-08
0.7650671.9776591.218906e-08
0.7670281.9774921.222032e-08
0.7689951.9773271.225165e-08
0.7709671.9771621.228307e-08
0.7729431.9769981.231456e-08
0.7749251.9768341.234614e-08
0.7769121.9766721.237780e-08
0.7789041.976511.240954e-08
0.781.9764221.242700e-08
0.7809011.9763491.244133e-08
0.7829031.9761891.247316e-08
0.7849111.976031.250508e-08
0.7869231.9758711.253708e-08
0.7889411.9757131.256916e-08
0.7909641.9755561.260132e-08
0.7929921.97541.263357e-08
0.7950251.9752451.266589e-08
0.7970631.975091.269830e-08
0.7991071.9749361.273080e-08
0.81.9748691.274500e-08
0.8011561.9747831.276341e-08
0.803211.974631.279614e-08
0.8052691.9744781.282896e-08
0.8073341.9743271.286185e-08
0.8094041.9741771.289484e-08
0.8114791.9740271.292790e-08
0.813561.9738781.296105e-08
0.8156461.973731.299429e-08
0.8177371.9735831.302761e-08
0.8198341.9734361.306102e-08
0.8219361.973291.309451e-08
0.8240431.9731441.312809e-08
0.8261561.9729991.316175e-08
0.8282741.9728551.319550e-08
0.831.9727391.322300e-08
0.8303981.9727121.309458e-08
0.8325271.9725691.240735e-08
0.8346621.9724271.171837e-08
0.8368021.9722851.102761e-08
0.8389471.9721451.033509e-08
0.8410981.9720049.640788e-09
0.8432551.9718658.944708e-09
0.8454171.9717268.246844e-09
0.8475841.9715887.547190e-09
0.8497581.971456.845742e-09
0.851.9714356.767500e-09
0.8519361.9713137.060682e-09
0.8541211.9711767.391413e-09
0.8563111.9710417.722991e-09
0.8585061.9709058.055420e-09
0.8607071.9707718.388701e-09
0.8629141.9706378.722836e-09
0.8651271.9705039.057828e-09
0.8673451.970379.393679e-09
0.8695691.9702389.730391e-09
0.8717981.9701061.006797e-08
0.8740331.9699751.040641e-08
0.8762741.9698451.074572e-08
0.8785211.9697151.108590e-08
0.8807741.9695851.142695e-08
0.8830321.9694561.176887e-08
0.8852961.9693281.211167e-08
0.8875661.96921.245536e-08
0.8898421.9690731.279992e-08
0.8921231.9689461.314536e-08
0.8944111.968821.349169e-08
0.8967041.9686941.383891e-08
0.8990031.9685691.418702e-08
0.91.9685151.433800e-08
0.9013081.9684441.416080e-08
0.9036191.968321.384770e-08
0.9059361.9681971.353379e-08
0.9082581.9680741.321908e-08
0.9105871.9679511.290356e-08
0.9129221.9678291.258724e-08
0.9152631.9677071.227010e-08
0.9176091.9675861.195215e-08
0.9199621.9674661.163339e-08
0.9223211.9673461.131380e-08
0.9246861.9672261.099340e-08
0.9270561.9671071.067218e-08
0.9294331.9669881.035013e-08
0.9318161.966871.002726e-08
0.9342061.9667529.703556e-09
0.9366011.9666359.379025e-09
0.9390021.9665189.053663e-09
0.941411.9664018.727466e-09
0.9438241.9662868.400432e-09
0.9462441.966178.072560e-09
0.948671.9660557.743848e-09
0.951.9659927.563600e-09
0.9511021.965947.572374e-09
0.9535411.9658267.591790e-09
0.9559851.9657127.611256e-09
0.9584371.9655997.630772e-09
0.9608941.9654867.650338e-09
0.9633581.9653747.669954e-09
0.9658281.9652627.689620e-09
0.9683041.965157.709337e-09
0.9707871.9650397.729104e-09
0.9732761.9649287.748922e-09
0.9757711.9648177.768791e-09
0.9782731.9647077.788710e-09
0.9807811.9645987.808681e-09
0.9832961.9644887.828703e-09
0.9858171.9643797.848776e-09
0.9883451.9642717.868901e-09
0.9908791.9641637.889077e-09
0.9934191.9640557.909306e-09
0.9959671.9639487.929586e-09
0.998521.9638417.949918e-09
11.9637797.961700e-09
1.001081.9637347.970302e-09
1.003651.9636287.990738e-09
1.006221.9635228.011227e-09
1.00881.9634168.031768e-09
1.011391.9633118.052362e-09
1.013981.9632068.073009e-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
—