Optical constants

Refractive index of TAFD37 (HOYA)

TAFD37: 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
1.90043
Extinction coefficient k
3.03264e-08
Permittivity ε1
3.61163
Permittivity ε2
1.15266e-07
Absorption coefficient α
0.00648558 cm⁻¹
Penetration depth δ = λ/(2πk)
3.08376e+09 nm
Abbe number Vd
37.371
Chromatic dispersion dn/dλ
-0.122516 µm⁻¹
Group index ng
1.97242
Group velocity dispersion
235.743 fs²/mm
Dispersion parameter D
-1286.1 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

# TAFD37 (HOYA): TAFD37
hoya_tafd37 = ls.fetch_refractiveindex("specs", "HOYA-optical", "TAFD37", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_tafd37.range_nm)  # (365.01, 1013.98) nm
eps = hoya_tafd37.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=3.4943369−0.013647624⁢λ2.0+0.03883317⁢λ−2.0+0.0011132555⁢λ−4.0−7.402237×10-6⁢λ−6.0+5.3027754×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.4943369
C2-0.013647624
C32.0
C40.03883317
C5-2.0
C60.0011132555
C7-4.0
C8-7.402237e-06
C9-6.0
C105.3027754e-06
C11-8.0

Comments and conditions

General glass Type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 1.06e-06 9.55e-09 -8.39e-12 7.47e-07 7.08e-10 0.249
nd
1.90043
Vd
37.37
glass code
900374
density
value: 5190
thermal expansion
value: 7e-06, temperature range: 243 343; value: 8.4e-06, temperature range: 293 573
dPgF
-0.0038
resistance
acid: 1.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.23e-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
TAFD37 (HOYA), TAFD37: n and k versus wavelength
λ (µm)nk
0.365011.9647912.205624e-06
0.3659461.9641722.076810e-06
0.3668841.9635581.947666e-06
0.3678251.962951.818191e-06
0.3687681.9623461.688384e-06
0.3697131.9617461.558244e-06
0.371.9615661.518800e-06
0.3706611.9611521.477224e-06
0.3716121.9605621.417481e-06
0.3725651.9599771.357584e-06
0.373521.9593971.297533e-06
0.3744771.9588211.237329e-06
0.3754381.9582491.176970e-06
0.37641.9576821.116457e-06
0.3773651.957121.055788e-06
0.3783331.9565619.949639e-07
0.3793031.9560089.339838e-07
0.381.9556138.901600e-07
0.3802751.9554588.812624e-07
0.381251.9549128.497616e-07
0.3822281.9543718.181801e-07
0.3832081.9538347.865177e-07
0.384191.9533017.547740e-07
0.3851761.9527727.229489e-07
0.3861631.9522476.910423e-07
0.3871531.9517266.590538e-07
0.3881461.9512096.269833e-07
0.3891411.9506955.948306e-07
0.391.9502565.670800e-07
0.3901391.9501865.646563e-07
0.3911391.949685.471900e-07
0.3921421.9491785.296790e-07
0.3931471.948685.121230e-07
0.3941551.9481864.945220e-07
0.3951661.9476954.768759e-07
0.3961791.9472084.591845e-07
0.3971951.9467244.414478e-07
0.3982131.9462444.236656e-07
0.3992341.9457674.058378e-07
0.41.9454133.924700e-07
0.4002581.9452943.903507e-07
0.4012841.9448243.819221e-07
0.4023131.9443583.734719e-07
0.4033451.9438953.650001e-07
0.4043791.9434353.565065e-07
0.4054161.9429793.479911e-07
0.4064551.9425263.394539e-07
0.4074971.9420763.308949e-07
0.4085421.941633.223139e-07
0.409591.9411863.137108e-07
0.410641.9407463.050857e-07
0.4116931.9403092.964385e-07
0.4127481.9398752.877692e-07
0.4138061.9394442.790776e-07
0.4148671.9390162.703637e-07
0.4159311.9385912.616275e-07
0.4169981.9381692.528689e-07
0.4180671.937752.440878e-07
0.4191391.9373342.352842e-07
0.421.9370022.282100e-07
0.4202131.936922.274955e-07
0.4212911.936512.238867e-07
0.4223711.9361022.202687e-07
0.4234541.9356972.166413e-07
0.424541.9352952.130047e-07
0.4256281.9348962.093588e-07
0.4267191.93452.057035e-07
0.4278131.9341062.020388e-07
0.428911.9337151.983647e-07
0.430011.9333261.946812e-07
0.4311131.9329411.909883e-07
0.4322181.9325571.872859e-07
0.4333261.9321771.835740e-07
0.4344371.9317991.798526e-07
0.4355511.9314231.761217e-07
0.4366681.931051.723811e-07
0.4377871.930681.686310e-07
0.438911.9303121.648713e-07
0.441.9299571.612200e-07
0.4400351.9299461.611524e-07
0.4411631.9295831.589873e-07
0.4422951.9292221.568166e-07
0.4434291.9288641.546404e-07
0.4445661.9285081.524587e-07
0.4457051.9281541.502713e-07
0.4468481.9278031.480783e-07
0.4479941.9274541.458797e-07
0.4491431.9271071.436755e-07
0.4502941.9267631.414656e-07
0.4514491.9264211.392500e-07
0.4526061.9260811.370288e-07
0.4537671.9257431.348018e-07
0.454931.9254071.325692e-07
0.4560971.9250741.303308e-07
0.4572661.9247431.280867e-07
0.4584381.9244141.258368e-07
0.4596141.9240871.235812e-07
0.461.923981.228400e-07
0.4607921.9237621.214948e-07
0.4619741.9234391.194887e-07
0.4631581.9231181.174775e-07
0.4643461.9227991.154611e-07
0.4655361.9224831.134395e-07
0.466731.9221681.114127e-07
0.4679271.9218551.093808e-07
0.4691261.9215451.073436e-07
0.4703291.9212361.053012e-07
0.4715351.9209291.032536e-07
0.4727441.9206251.012007e-07
0.4739561.9203229.914253e-08
0.4751711.9200219.707910e-08
0.476391.9197229.501039e-08
0.4776111.9194249.293637e-08
0.4788361.9191299.085704e-08
0.481.9188518.888000e-08
0.4800631.9188358.880171e-08
0.4812941.9185448.728140e-08
0.4825281.9182548.575720e-08
0.4837651.9179668.422909e-08
0.4850061.9176798.269706e-08
0.4862491.9173958.116110e-08
0.4874961.9171127.962121e-08
0.4887461.9168317.807736e-08
0.4899991.9165527.652956e-08
0.4912551.9162747.497779e-08
0.4925151.9159987.342204e-08
0.4937781.9157247.186230e-08
0.4950441.9154517.029857e-08
0.4963131.9151816.873082e-08
0.4975861.9149116.715905e-08
0.4988611.9146446.558326e-08
0.51.9144076.417700e-08
0.5001411.9143786.409543e-08
0.5014231.9141136.335110e-08
0.5027091.9138516.260487e-08
0.5039971.9135896.185673e-08
0.505291.913336.110666e-08
0.5065851.9130726.035468e-08
0.5078841.9128155.960076e-08
0.5091861.912565.884491e-08
0.5104921.9123075.808713e-08
0.5118011.9120555.732740e-08
0.5131131.9118045.656572e-08
0.5144291.9115565.580209e-08
0.5157481.9113085.503650e-08
0.517071.9110625.426895e-08
0.5183961.9108185.349944e-08
0.5197251.9105755.272794e-08
0.5210571.9103335.195447e-08
0.5223931.9100935.117902e-08
0.5237331.9098545.040158e-08
0.5250761.9096164.962215e-08
0.5264221.909384.884071e-08
0.5277721.9091464.805728e-08
0.5291251.9089134.727183e-08
0.5304811.9086814.648437e-08
0.5318421.908454.569490e-08
0.5332051.9082214.490339e-08
0.5345721.9079934.410986e-08
0.5359431.9077674.331430e-08
0.5373171.9075414.251669e-08
0.5386951.9073174.171704e-08
0.5400761.9070954.091534e-08
0.5414611.9068744.011158e-08
0.5428491.9066533.930576e-08
0.5442411.9064353.849788e-08
0.5456361.9062173.768792e-08
0.5470351.9060013.687589e-08
0.5484381.9057863.606178e-08
0.5498441.9055723.524558e-08
0.551.9055483.515500e-08
0.5512541.9053593.499400e-08
0.5526671.9051483.481249e-08
0.5540841.9049383.463051e-08
0.5555051.9047293.444807e-08
0.5569291.9045213.426517e-08
0.5583571.9043143.408179e-08
0.5597891.9041093.389794e-08
0.5612241.9039053.371362e-08
0.5626631.9037013.352883e-08
0.5641061.9034993.334357e-08
0.5655521.9032983.315783e-08
0.5670021.9030993.297161e-08
0.5684561.90293.278492e-08
0.5699131.9027033.259774e-08
0.5713741.9025063.241009e-08
0.5728391.9023113.222196e-08
0.5743081.9021173.203334e-08
0.5757811.9019233.184424e-08
0.5772571.9017313.165466e-08
0.5787371.901543.146459e-08
0.5802211.901353.127403e-08
0.5817091.9011613.108298e-08
0.58321.9009743.089145e-08
0.5846951.9007873.069942e-08
0.5861951.9006013.050690e-08
0.5876971.9004163.031389e-08
0.5892041.9002323.012038e-08
0.5907151.900052.992638e-08
0.592231.8998682.973187e-08
0.5937481.8996872.953687e-08
0.595271.8995072.934137e-08
0.5967971.8993282.914537e-08
0.5983271.8991512.894887e-08
0.5998611.8989742.875186e-08
0.61.8989582.873400e-08
0.6013991.8987982.880101e-08
0.6029411.8986232.887487e-08
0.6044871.8984492.894892e-08
0.6060371.8982762.902316e-08
0.6075911.8981042.909759e-08
0.6091481.8979322.917221e-08
0.610711.8977622.924702e-08
0.6122761.8975932.932203e-08
0.6138461.8974242.939722e-08
0.615421.8972572.947261e-08
0.6169981.897092.954819e-08
0.618581.8969242.962397e-08
0.6201661.8967592.969994e-08
0.6217561.8965952.977610e-08
0.623351.8964322.985246e-08
0.6249481.8962692.992902e-08
0.6265511.8961083.000577e-08
0.6281571.8959473.008272e-08
0.6297681.8957883.015987e-08
0.6313821.8956293.023721e-08
0.6330011.8954713.031476e-08
0.6346241.8953133.039250e-08
0.6362511.8951573.047044e-08
0.6378831.8950013.054858e-08
0.6395181.8948463.062692e-08
0.6411581.8946923.070546e-08
0.6428021.8945393.078420e-08
0.644451.8943873.086315e-08
0.6461021.8942353.094230e-08
0.6477591.8940843.102165e-08
0.649421.8939343.110120e-08
0.651.8938823.112900e-08
0.6510851.8937853.105943e-08
0.6527541.8936363.095235e-08
0.6544281.8934883.084501e-08
0.6561061.8933413.073738e-08
0.6577881.8931953.062948e-08
0.6594741.8930493.052131e-08
0.6611651.8929053.041286e-08
0.6628611.8927613.030413e-08
0.664561.8926173.019512e-08
0.6662641.8924753.008583e-08
0.6679721.8923332.997626e-08
0.6696851.8921922.986641e-08
0.6714021.8920512.975628e-08
0.6731231.8919112.964586e-08
0.6748491.8917722.953517e-08
0.676581.8916342.942419e-08
0.6783141.8914962.931292e-08
0.6800531.8913592.920137e-08
0.6817971.8912232.908953e-08
0.6835451.8910872.897741e-08
0.6852981.8909522.886500e-08
0.6870551.8908182.875230e-08
0.6888161.8906842.863931e-08
0.6905831.8905512.852603e-08
0.6923531.8904192.841246e-08
0.6941281.8902872.829861e-08
0.6959081.8901562.818445e-08
0.6976921.8900262.807001e-08
0.6994811.8898962.795527e-08
0.71.8898592.792200e-08
0.7012751.8897672.797283e-08
0.7030731.8896392.804454e-08
0.7048751.8895112.811643e-08
0.7066831.8893842.818851e-08
0.7084951.8892572.826076e-08
0.7103111.8891312.833321e-08
0.7121321.8890062.840584e-08
0.7139581.8888812.847865e-08
0.7157891.8887562.855166e-08
0.7176241.8886332.862485e-08
0.7194641.888512.869823e-08
0.7213091.8883872.877179e-08
0.7231581.8882652.884555e-08
0.7250121.8881442.891949e-08
0.7268711.8880232.899362e-08
0.7287351.8879032.906795e-08
0.7306031.8877842.914246e-08
0.7324771.8876652.921717e-08
0.7343551.8875462.929206e-08
0.7362371.8874282.936715e-08
0.7381251.8873112.944243e-08
0.7400181.8871942.951791e-08
0.7419151.8870782.959357e-08
0.7438171.8869622.966943e-08
0.7457241.8868472.974549e-08
0.7476361.8867322.982174e-08
0.7495531.8866182.989819e-08
0.751.8865912.991600e-08
0.7514751.8865042.966827e-08
0.7534021.8863912.934470e-08
0.7553341.8862782.902030e-08
0.757271.8861662.869507e-08
0.7592121.8860552.836901e-08
0.7611591.8859442.804211e-08
0.763111.8858332.771438e-08
0.7650671.8857232.738580e-08
0.7670281.8856132.705638e-08
0.7689951.8855042.672612e-08
0.7709671.8853952.639501e-08
0.7729431.8852872.606305e-08
0.7749251.885182.573024e-08
0.7769121.8850722.539657e-08
0.7789041.8849662.506205e-08
0.781.8849072.487800e-08
0.7809011.8848592.461889e-08
0.7829031.8847542.404316e-08
0.7849111.8846482.346595e-08
0.7869231.8845432.288726e-08
0.7889411.8844392.230709e-08
0.7909641.8843352.172542e-08
0.7929921.8842312.114227e-08
0.7950251.8841282.055762e-08
0.7970631.8840261.997148e-08
0.7991071.8839241.938383e-08
0.81.8838791.912700e-08
0.8011561.8838221.889955e-08
0.803211.883721.849530e-08
0.8052691.883621.809001e-08
0.8073341.8835191.768368e-08
0.8094041.8834191.727631e-08
0.8114791.8833191.686789e-08
0.813561.883221.645843e-08
0.8156461.8831211.604791e-08
0.8177371.8830231.563635e-08
0.8198341.8829251.522373e-08
0.8219361.8828271.481005e-08
0.8240431.882731.439531e-08
0.8261561.8826331.397951e-08
0.8282741.8825371.356264e-08
0.831.8824591.322300e-08
0.8303981.8824411.336425e-08
0.8325271.8823451.412008e-08
0.8346621.882251.487785e-08
0.8368021.8821551.563757e-08
0.8389471.8820611.639923e-08
0.8410981.8819671.716285e-08
0.8432551.8818731.792842e-08
0.8454171.881781.869596e-08
0.8475841.8816871.946547e-08
0.8497581.8815942.023695e-08
0.851.8815842.032300e-08
0.8519361.8815022.009122e-08
0.8541211.881411.982975e-08
0.8563111.8813181.956762e-08
0.8585061.8812271.930481e-08
0.8607071.8811361.904133e-08
0.8629141.8810461.877717e-08
0.8651271.8809561.851234e-08
0.8673451.8808661.824682e-08
0.8695691.8807761.798063e-08
0.8717981.8806871.771375e-08
0.8740331.8805981.744619e-08
0.8762741.880511.717795e-08
0.8785211.8804221.690901e-08
0.8807741.8803341.663939e-08
0.8830321.8802471.636907e-08
0.8852961.8801591.609806e-08
0.8875661.8800731.582636e-08
0.8898421.8799861.555396e-08
0.8921231.87991.528086e-08
0.8944111.8798141.500706e-08
0.8967041.8797281.473256e-08
0.8990031.8796431.445736e-08
0.91.8796061.433800e-08
0.9013081.8795581.435885e-08
0.9036191.8794731.439568e-08
0.9059361.8793891.443261e-08
0.9082581.8793051.446964e-08
0.9105871.8792211.450676e-08
0.9129221.8791381.454398e-08
0.9152631.8790541.458129e-08
0.9176091.8789711.461869e-08
0.9199621.8788891.465619e-08
0.9223211.8788061.469379e-08
0.9246861.8787241.473149e-08
0.9270561.8786421.476928e-08
0.9294331.8785611.480717e-08
0.9318161.878481.484515e-08
0.9342061.8783991.488324e-08
0.9366011.8783181.492142e-08
0.9390021.8782371.495970e-08
0.941411.8781571.499807e-08
0.9438241.8780771.503655e-08
0.9462441.8779971.507512e-08
0.948671.8779181.511379e-08
0.951.8778751.513500e-08
0.9511021.8778391.515254e-08
0.9535411.877761.519137e-08
0.9559851.8776811.523029e-08
0.9584371.8776031.526931e-08
0.9608941.8775241.530843e-08
0.9633581.8774461.534765e-08
0.9658281.8773691.538698e-08
0.9683041.8772911.542640e-08
0.9707871.8772141.546592e-08
0.9732761.8771371.550555e-08
0.9757711.877061.554528e-08
0.9782731.8769831.558511e-08
0.9807811.8769071.562504e-08
0.9832961.8768311.566507e-08
0.9858171.8767551.570521e-08
0.9883451.8766791.574545e-08
0.9908791.8766041.578579e-08
0.9934191.8765281.582624e-08
0.9959671.8764531.586679e-08
0.998521.8763781.590744e-08
11.8763351.593100e-08
1.001081.8763041.576741e-08
1.003651.8762291.537875e-08
1.006221.8761551.498908e-08
1.00881.8760811.459842e-08
1.011391.8760071.420676e-08
1.013981.8759331.381409e-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
—