Optical constants

Refractive index of TAFD25 (HOYA)

TAFD25: 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
1.90365
Extinction coefficient k
2.23480e-08
Permittivity ε1
3.62389
Permittivity ε2
8.50858e-08
Absorption coefficient α
0.00477933 cm⁻¹
Penetration depth δ = λ/(2πk)
4.18468e+09 nm
Abbe number Vd
31.315
Chromatic dispersion dn/dλ
-0.14562 µm⁻¹
Group index ng
1.98922
Group velocity dispersion
290.563 fs²/mm
Dispersion parameter D
-1585.18 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

# TAFD25 (HOYA): TAFD25
hoya_tafd25 = ls.fetch_refractiveindex("specs", "HOYA-optical", "TAFD25", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_tafd25.range_nm)  # (365.01, 1013.98) nm
eps = hoya_tafd25.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=3.4905528−0.016325771⁢λ2.0+0.041146322⁢λ−2.0+0.0027169124⁢λ−4.0−0.00018260518⁢λ−6.0+2.0641862×10-5⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.4905528
C2-0.016325771
C32.0
C40.041146322
C5-2.0
C60.0027169124
C7-4.0
C8-0.00018260518
C9-6.0
C102.0641862e-05
C11-8.0

Comments and conditions

Recommended glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -2.77e-07 7.51e-09 -2.95e-11 1.02e-06 9.45e-10 0.245
nd
1.90366
Vd
31.32
glass code
904313
glass status
standard
density
value: 4510
thermal expansion
value: 7e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
0.0028
resistance
acid: 1.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 1.86e-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
TAFD25 (HOYA), TAFD25: n and k versus wavelength
λ (µm)nk
0.365011.9845825.362265e-06
0.3659461.9837514.933157e-06
0.3668841.9829274.502950e-06
0.3678251.9821114.071639e-06
0.3687681.9813033.639222e-06
0.3697131.9805033.205697e-06
0.371.9802623.074300e-06
0.3706611.979712.966902e-06
0.3716121.9789252.812572e-06
0.3725651.9781462.657847e-06
0.373521.9773762.502725e-06
0.3744771.9766122.347206e-06
0.3754381.9758552.191287e-06
0.37641.9751052.034969e-06
0.3773651.9743621.878250e-06
0.3783331.9736261.721129e-06
0.3793031.9728961.563605e-06
0.381.9723771.450400e-06
0.3802751.9721731.432242e-06
0.381251.9714561.367955e-06
0.3822281.9707461.303504e-06
0.3832081.9700421.238887e-06
0.384191.9693451.174105e-06
0.3851761.9686531.109157e-06
0.3861631.9679681.044042e-06
0.3871531.9672889.787597e-07
0.3881461.9666159.133104e-07
0.3891411.9659478.476933e-07
0.391.9653777.910600e-07
0.3901391.9652857.870528e-07
0.3911391.9646297.581751e-07
0.3921421.9639787.292233e-07
0.3931471.9633337.001973e-07
0.3941551.9626936.710968e-07
0.3951661.9620596.419218e-07
0.3961791.961436.126719e-07
0.3971951.9608075.833470e-07
0.3982131.9601885.539470e-07
0.3992341.9595755.244716e-07
0.41.959125.023700e-07
0.4002581.9589674.992037e-07
0.4012841.9583644.866111e-07
0.4023131.9577664.739862e-07
0.4033451.9571734.613290e-07
0.4043791.9565844.486393e-07
0.4054161.9560014.359171e-07
0.4064551.9554224.231622e-07
0.4074971.9548484.103747e-07
0.4085421.9542783.975543e-07
0.409591.9537143.847011e-07
0.410641.9531533.718150e-07
0.4116931.9525973.588958e-07
0.4127481.9520463.459434e-07
0.4138061.9514993.329579e-07
0.4148671.9509563.199391e-07
0.4159311.9504173.068869e-07
0.4169981.9498832.938012e-07
0.4180671.9493532.806819e-07
0.4191391.9488272.675291e-07
0.421.9484082.569600e-07
0.4202131.9483052.559389e-07
0.4212911.9477872.507813e-07
0.4223711.9472732.456105e-07
0.4234541.9467632.404264e-07
0.424541.9462572.352291e-07
0.4256281.9457542.300184e-07
0.4267191.9452562.247944e-07
0.4278131.9447612.195569e-07
0.428911.944272.143061e-07
0.430011.9437832.090417e-07
0.4311131.94332.037639e-07
0.4322181.942821.984726e-07
0.4333261.9423431.931676e-07
0.4344371.941871.878491e-07
0.4355511.9414011.825170e-07
0.4366681.9409351.771711e-07
0.4377871.9404731.718116e-07
0.438911.9400141.664383e-07
0.441.9395721.612200e-07
0.4400351.9395581.611390e-07
0.4411631.9391061.585469e-07
0.4422951.9386571.559481e-07
0.4434291.9382111.533427e-07
0.4445661.9377691.507306e-07
0.4457051.9373291.481118e-07
0.4468481.9368931.454863e-07
0.4479941.936461.428540e-07
0.4491431.936031.402150e-07
0.4502941.9356031.375692e-07
0.4514491.9351791.349167e-07
0.4526061.9347581.322573e-07
0.4537671.934341.295911e-07
0.454931.9339261.269181e-07
0.4560971.9335141.242383e-07
0.4572661.9331041.215515e-07
0.4584381.9326981.188579e-07
0.4596141.9322951.161574e-07
0.461.9321631.152700e-07
0.4607921.9318941.137608e-07
0.4619741.9314961.115101e-07
0.4631581.9311011.092536e-07
0.4643461.9307091.069913e-07
0.4655361.9303191.047232e-07
0.466731.9299321.024493e-07
0.4679271.9295481.001696e-07
0.4691261.9291669.788399e-08
0.4703291.9287879.559255e-08
0.4715351.9284119.329523e-08
0.4727441.9280379.099203e-08
0.4739561.9276668.868291e-08
0.4751711.9272978.636788e-08
0.476391.926938.404691e-08
0.4776111.9265678.172000e-08
0.4788361.9262057.938711e-08
0.481.9258647.716900e-08
0.4800631.9258467.710222e-08
0.4812941.9254897.580544e-08
0.4825281.9251357.450533e-08
0.4837651.9247837.320190e-08
0.4850061.9244347.189512e-08
0.4862491.9240867.058499e-08
0.4874961.9237416.927150e-08
0.4887461.9233996.795464e-08
0.4899991.9230586.663440e-08
0.4912551.922726.531079e-08
0.4925151.9223846.398377e-08
0.4937781.922056.265336e-08
0.4950441.9217196.131953e-08
0.4963131.9213895.998229e-08
0.4975861.9210625.864161e-08
0.4988611.9207375.729750e-08
0.51.9204495.609800e-08
0.5001411.9204145.598963e-08
0.5014231.9200935.500079e-08
0.5027091.9197745.400941e-08
0.5039971.9194575.301550e-08
0.505291.9191425.201903e-08
0.5065851.9188295.102001e-08
0.5078841.9185195.001842e-08
0.5091861.918214.901427e-08
0.5104921.9179034.800755e-08
0.5118011.9175984.699824e-08
0.5131131.9172954.598635e-08
0.5144291.9169944.497186e-08
0.5157481.9166954.395477e-08
0.517071.9163974.293507e-08
0.5183961.9161024.191276e-08
0.5197251.9158084.088782e-08
0.5210571.9155173.986026e-08
0.5223931.9152273.883006e-08
0.5237331.9149393.779723e-08
0.5250761.9146533.676174e-08
0.5264221.9143683.572360e-08
0.5277721.9140853.468280e-08
0.5291251.9138043.363933e-08
0.5304811.9135253.259318e-08
0.5318421.9132483.154435e-08
0.5332051.9129723.049283e-08
0.5345721.9126982.943862e-08
0.5359431.9124252.838170e-08
0.5373171.9121552.732207e-08
0.5386951.9118862.625973e-08
0.5400761.9116182.519466e-08
0.5414611.9113522.412686e-08
0.5428491.9110882.305633e-08
0.5442411.9108262.198305e-08
0.5456361.9105652.090701e-08
0.5470351.9103051.982822e-08
0.5484381.9100471.874666e-08
0.5498441.9097911.766233e-08
0.551.9097631.754200e-08
0.5512541.9095371.770225e-08
0.5526671.9092831.788291e-08
0.5540841.9090321.806404e-08
0.5555051.9087821.824562e-08
0.5569291.9085331.842768e-08
0.5583571.9082861.861020e-08
0.5597891.908041.879319e-08
0.5612241.9077961.897664e-08
0.5626631.9075531.916057e-08
0.5641061.9073121.934497e-08
0.5655521.9070721.952984e-08
0.5670021.9068331.971519e-08
0.5684561.9065961.990101e-08
0.5699131.9063612.008731e-08
0.5713741.9061262.027408e-08
0.5728391.9058942.046134e-08
0.5743081.9056622.064907e-08
0.5757811.9054322.083729e-08
0.5772571.9052032.102599e-08
0.5787371.9049762.121517e-08
0.5802211.9047492.140484e-08
0.5817091.9045252.159499e-08
0.58321.9043012.178563e-08
0.5846951.9040792.197676e-08
0.5861951.9038582.216838e-08
0.5876971.9036382.236049e-08
0.5892041.903422.255310e-08
0.5907151.9032032.274619e-08
0.592231.9029872.293979e-08
0.5937481.9027722.313388e-08
0.595271.9025592.332846e-08
0.5967971.9023472.352355e-08
0.5983271.9021362.371914e-08
0.5998611.9019262.391522e-08
0.61.9019072.393300e-08
0.6013991.9017172.398882e-08
0.6029411.901512.405034e-08
0.6044871.9013042.411202e-08
0.6060371.9010992.417387e-08
0.6075911.9008952.423586e-08
0.6091481.9006922.429802e-08
0.610711.900492.436034e-08
0.6122761.900292.442282e-08
0.6138461.9000912.448545e-08
0.615421.8998932.454825e-08
0.6169981.8996952.461121e-08
0.618581.8994992.467433e-08
0.6201661.8993052.473761e-08
0.6217561.8991112.480106e-08
0.623351.8989182.486466e-08
0.6249481.8987262.492843e-08
0.6265511.8985362.499237e-08
0.6281571.8983462.505647e-08
0.6297681.8981582.512073e-08
0.6313821.897972.518515e-08
0.6330011.8977842.524975e-08
0.6346241.8975992.531450e-08
0.6362511.8974142.537943e-08
0.6378831.8972312.544452e-08
0.6395181.8970492.550977e-08
0.6411581.8968672.557520e-08
0.6428021.8966872.564079e-08
0.644451.8965082.570655e-08
0.6461021.8963292.577248e-08
0.6477591.8961522.583858e-08
0.649421.8959752.590484e-08
0.651.8959142.592800e-08
0.6510851.89582.597126e-08
0.6527541.8956252.603783e-08
0.6544281.8954522.610458e-08
0.6561061.8952792.617149e-08
0.6577881.8951072.623858e-08
0.6594741.8949362.630584e-08
0.6611651.8947662.637327e-08
0.6628611.8945972.644088e-08
0.664561.8944292.650866e-08
0.6662641.8942622.657661e-08
0.6679721.8940962.664473e-08
0.6696851.893932.671303e-08
0.6714021.8937662.678151e-08
0.6731231.8936022.685016e-08
0.6748491.8934392.691899e-08
0.676581.8932772.698799e-08
0.6783141.8931162.705717e-08
0.6800531.8929562.712653e-08
0.6817971.8927962.719607e-08
0.6835451.8926372.726578e-08
0.6852981.892482.733568e-08
0.6870551.8923232.740575e-08
0.6888161.8921672.747600e-08
0.6905831.8920112.754643e-08
0.6923531.8918572.761705e-08
0.6941281.8917032.768784e-08
0.6959081.891552.775882e-08
0.6976921.8913982.782997e-08
0.6994811.8912462.790131e-08
0.71.8912032.792200e-08
0.7012751.8910962.782000e-08
0.7030731.8909462.767612e-08
0.7048751.8907972.753187e-08
0.7066831.8906482.738725e-08
0.7084951.8905012.724226e-08
0.7103111.8903542.709690e-08
0.7121321.8902082.695117e-08
0.7139581.8900622.680506e-08
0.7157891.8899182.665858e-08
0.7176241.8897742.651172e-08
0.7194641.889632.636449e-08
0.7213091.8894882.621688e-08
0.7231581.8893462.606889e-08
0.7250121.8892052.592052e-08
0.7268711.8890652.577177e-08
0.7287351.8889252.562264e-08
0.7306031.8887862.547312e-08
0.7324771.8886482.532323e-08
0.7343551.888512.517294e-08
0.7362371.8883732.502228e-08
0.7381251.8882372.487123e-08
0.7400181.8881012.471978e-08
0.7419151.8879662.456796e-08
0.7438171.8878322.441574e-08
0.7457241.8876982.426313e-08
0.7476361.8875652.411013e-08
0.7495531.8874332.395674e-08
0.751.8874022.392100e-08
0.7514751.8873012.366176e-08
0.7534021.887172.332316e-08
0.7553341.8870392.298370e-08
0.757271.8869092.264337e-08
0.7592121.886782.230216e-08
0.7611591.8866512.196008e-08
0.763111.8865232.161712e-08
0.7650671.8863962.127328e-08
0.7670281.8862692.092856e-08
0.7689951.8861422.058296e-08
0.7709671.8860172.023647e-08
0.7729431.8858921.988909e-08
0.7749251.8857671.954082e-08
0.7769121.8856431.919166e-08
0.7789041.885521.884160e-08
0.781.8854521.864900e-08
0.7809011.8853971.867054e-08
0.7829031.8852751.871839e-08
0.7849111.8851531.876636e-08
0.7869231.8850321.881446e-08
0.7889411.8849111.886268e-08
0.7909641.8847911.891103e-08
0.7929921.8846721.895950e-08
0.7950251.8845531.900809e-08
0.7970631.8844341.905681e-08
0.7991071.8843161.910565e-08
0.81.8842651.912700e-08
0.8011561.8841991.941000e-08
0.803211.8840821.991299e-08
0.8052691.8839662.041727e-08
0.8073341.883852.092284e-08
0.8094041.8837352.142971e-08
0.8114791.883622.193788e-08
0.813561.8835052.244735e-08
0.8156461.8833922.295813e-08
0.8177371.8832782.347021e-08
0.8198341.8831652.398361e-08
0.8219361.8830532.449833e-08
0.8240431.8829412.501437e-08
0.8261561.882832.553173e-08
0.8282741.8827192.605041e-08
0.831.8826292.647300e-08
0.8303981.8826082.648569e-08
0.8325271.8824982.655361e-08
0.8346621.8823892.662170e-08
0.8368021.882282.668997e-08
0.8389471.8821712.675841e-08
0.8410981.8820632.682703e-08
0.8432551.8819552.689583e-08
0.8454171.8818482.696480e-08
0.8475841.8817412.703394e-08
0.8497581.8816342.710327e-08
0.851.8816232.711100e-08
0.8519361.8815282.717273e-08
0.8541211.8814232.724237e-08
0.8563111.8813182.731218e-08
0.8585061.8812132.738218e-08
0.8607071.8811092.745235e-08
0.8629141.8810052.752270e-08
0.8651271.8809012.759324e-08
0.8673451.8807982.766395e-08
0.8695691.8806962.773485e-08
0.8717981.8805932.780593e-08
0.8740331.8804922.787719e-08
0.8762741.880392.794863e-08
0.8785211.8802892.802026e-08
0.8807741.8801882.809207e-08
0.8830321.8800882.816406e-08
0.8852961.8799882.823624e-08
0.8875661.8798892.830860e-08
0.8898421.8797892.838115e-08
0.8921231.8796912.845389e-08
0.8944111.8795922.852681e-08
0.8967041.8794942.859992e-08
0.8990031.8793962.867321e-08
0.91.8793542.870500e-08
0.9013081.8792992.854829e-08
0.9036191.8792022.827140e-08
0.9059361.8791052.799379e-08
0.9082581.8790092.771547e-08
0.9105871.8789132.743644e-08
0.9129221.8788182.715670e-08
0.9152631.8787222.687624e-08
0.9176091.8786272.659505e-08
0.9199621.8785332.631315e-08
0.9223211.8784382.603052e-08
0.9246861.8783452.574717e-08
0.9270561.8782512.546310e-08
0.9294331.8781582.517829e-08
0.9318161.8780652.489276e-08
0.9342061.8779722.460649e-08
0.9366011.877882.431949e-08
0.9390021.8777882.403175e-08
0.941411.8776962.374327e-08
0.9438241.8776042.345406e-08
0.9462441.8775132.316410e-08
0.948671.8774222.287340e-08
0.951.8773732.271400e-08
0.9511021.8773322.274034e-08
0.9535411.8772422.279862e-08
0.9559851.8771522.285705e-08
0.9584371.8770622.291563e-08
0.9608941.8769732.297437e-08
0.9633581.8768832.303325e-08
0.9658281.8767952.309228e-08
0.9683041.8767062.315147e-08
0.9707871.8766182.321080e-08
0.9732761.876532.327029e-08
0.9757711.8764422.332993e-08
0.9782731.8763542.338973e-08
0.9807811.8762672.344967e-08
0.9832961.876182.350978e-08
0.9858171.8760932.357003e-08
0.9883451.8760072.363044e-08
0.9908791.8759212.369100e-08
0.9934191.8758352.375172e-08
0.9959671.8757492.381260e-08
0.998521.8756632.387363e-08
11.8756142.390900e-08
1.001081.8755782.375384e-08
1.003651.8754932.338521e-08
1.006221.8754082.301563e-08
1.00881.8753242.264510e-08
1.011391.8752392.227362e-08
1.013981.8751552.190119e-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
—