Optical constants

Refractive index of TAFD5F (HOYA)

TAFD5F: 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
1.8348
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.3665
Permittivity ε2
1.71675e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
42.722
Chromatic dispersion dn/dλ
-0.0998978 µm⁻¹
Group index ng
1.8935
Group velocity dispersion
186.415 fs²/mm
Dispersion parameter D
-1016.99 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

# TAFD5F (HOYA): TAFD5F
hoya_tafd5f = ls.fetch_refractiveindex("specs", "HOYA-optical", "TAFD5F", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_tafd5f.range_nm)  # (365.01, 1013.98) nm
eps = hoya_tafd5f.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=3.275546−0.014470354⁢λ2.0+0.030922062⁢λ−2.0+0.00073289981⁢λ−4.0+4.6573307×10-6⁢λ−6.0+1.8242746×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.275546
C2-0.014470354
C32.0
C40.030922062
C5-2.0
C60.00073289981
C7-4.0
C84.6573307e-06
C9-6.0
C101.8242746e-06
C11-8.0

Comments and conditions

General glass Type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.79e-06 8.81e-09 -2.5e-11 7.25e-07 7.24e-10 0.197
nd
1.83481
Vd
42.72
glass code
835427
density
value: 4720
thermal expansion
value: 6.2e-06, temperature range: 243 343; value: 7.8e-06, temperature range: 293 573
dPgF
-0.0062
resistance
acid: 3.0; stain: 1.0; climatic: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.08e-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
TAFD5F (HOYA), TAFD5F: n and k versus wavelength
λ (µm)nk
0.365011.8854065.197628e-07
0.3659461.8849384.947581e-07
0.3668841.8844744.696894e-07
0.3678251.8840134.445563e-07
0.3687681.8835554.193588e-07
0.3697131.8831013.940967e-07
0.371.8829643.864400e-07
0.3706611.8826493.771234e-07
0.3716121.8822013.637357e-07
0.3725651.8817573.503136e-07
0.373521.8813153.368571e-07
0.3744771.8808763.233660e-07
0.3754381.8804413.098404e-07
0.37641.8800082.962802e-07
0.3773651.8795792.826851e-07
0.3783331.8791532.690552e-07
0.3793031.8787292.553903e-07
0.381.8784272.455700e-07
0.3802751.8783092.437325e-07
0.381251.8778912.372272e-07
0.3822281.8774772.307053e-07
0.3832081.8770652.241666e-07
0.384191.8766562.176111e-07
0.3851761.876252.110389e-07
0.3861631.8758472.044497e-07
0.3871531.8754461.978437e-07
0.3881461.8750481.912208e-07
0.3891411.8746531.845808e-07
0.391.8743151.788500e-07
0.3901391.8742611.779415e-07
0.3911391.8738711.713945e-07
0.3921421.8734841.648308e-07
0.3931471.87311.582502e-07
0.3941551.8727181.516527e-07
0.3951661.8723391.450383e-07
0.3961791.8719621.384070e-07
0.3971951.8715881.317586e-07
0.3982131.8712171.250932e-07
0.3992341.8708471.184107e-07
0.41.8705731.134000e-07
0.4002581.8704811.128962e-07
0.4012841.8701171.108924e-07
0.4023131.8697551.088835e-07
0.4033451.8693961.068695e-07
0.4043791.8690391.048503e-07
0.4054161.8686841.028259e-07
0.4064551.8683321.007963e-07
0.4074971.8679829.876157e-08
0.4085421.8676349.672158e-08
0.409591.8672899.467636e-08
0.410641.8669469.262589e-08
0.4116931.8666059.057017e-08
0.4127481.8662668.850917e-08
0.4138061.865938.644290e-08
0.4148671.8655968.437132e-08
0.4159311.8652648.229443e-08
0.4169981.8649348.021222e-08
0.4180671.8646067.812467e-08
0.4191391.864287.603177e-08
0.421.8640217.435000e-08
0.4202131.8639577.404567e-08
0.4212911.8636367.250858e-08
0.4223711.8633167.096755e-08
0.4234541.8629996.942256e-08
0.424541.8626846.787362e-08
0.4256281.862376.632070e-08
0.4267191.8620596.476380e-08
0.4278131.861756.320291e-08
0.428911.8614436.163802e-08
0.430011.8611376.006912e-08
0.4311131.8608345.849619e-08
0.4322181.8605325.691923e-08
0.4333261.8602335.533823e-08
0.4344371.8599355.375317e-08
0.4355511.8596395.216405e-08
0.4366681.8593455.057085e-08
0.4377871.8590534.897357e-08
0.438911.8587634.737220e-08
0.441.8584834.581700e-08
0.4400351.8584744.581414e-08
0.4411631.8581884.572247e-08
0.4422951.8579034.563056e-08
0.4434291.857624.553842e-08
0.4445661.8573384.544605e-08
0.4457051.8570594.535343e-08
0.4468481.8567814.526058e-08
0.4479941.8565054.516750e-08
0.4491431.856234.507417e-08
0.4502941.8559574.498060e-08
0.4514491.8556864.488680e-08
0.4526061.8554174.479275e-08
0.4537671.8551494.469846e-08
0.454931.8548834.460393e-08
0.4560971.8546194.450916e-08
0.4572661.8543564.441414e-08
0.4584381.8540944.431888e-08
0.4596141.8538354.422338e-08
0.461.853754.419200e-08
0.4607921.8535774.350437e-08
0.4619741.853324.247887e-08
0.4631581.8530654.145074e-08
0.4643461.8528124.041997e-08
0.4655361.852563.938655e-08
0.466731.8523093.835049e-08
0.4679271.852063.731177e-08
0.4691261.8518133.627039e-08
0.4703291.8515673.522634e-08
0.4715351.8513233.417961e-08
0.4727441.851083.313020e-08
0.4739561.8508383.207810e-08
0.4751711.8505983.102330e-08
0.476391.8503592.996579e-08
0.4776111.8501222.890558e-08
0.4788361.8498862.784264e-08
0.481.8496642.683200e-08
0.4800631.8496522.677221e-08
0.4812941.8494192.561111e-08
0.4825281.8491872.444704e-08
0.4837651.8489572.327998e-08
0.4850061.8487282.210993e-08
0.4862491.84852.093688e-08
0.4874961.8482741.976083e-08
0.4887461.8480491.858175e-08
0.4899991.8478261.739966e-08
0.4912551.8476031.621453e-08
0.4925151.8473821.502637e-08
0.4937781.8471621.383516e-08
0.4950441.8469441.264089e-08
0.4963131.8467271.144357e-08
0.4975861.8465111.024317e-08
0.4988611.8462969.039693e-09
0.51.8461067.965700e-09
0.5001411.8460837.955619e-09
0.5014231.8458717.863631e-09
0.5027091.845667.771408e-09
0.5039971.845457.678948e-09
0.505291.8452417.586251e-09
0.5065851.8450347.493316e-09
0.5078841.8448287.400143e-09
0.5091861.8446237.306731e-09
0.5104921.8444197.213080e-09
0.5118011.8442167.119188e-09
0.5131131.8440157.025056e-09
0.5144291.8438156.930682e-09
0.5157481.8436156.836067e-09
0.517071.8434176.741209e-09
0.5183961.843226.646107e-09
0.5197251.8430246.550762e-09
0.5210571.842836.455172e-09
0.5223931.8426366.359338e-09
0.5237331.8424446.263257e-09
0.5250761.8422526.166930e-09
0.5264221.8420626.070357e-09
0.5277721.8418725.973535e-09
0.5291251.8416845.876465e-09
0.5304811.8414975.779147e-09
0.5318421.8413115.681579e-09
0.5332051.8411265.583761e-09
0.5345721.8409425.485692e-09
0.5359431.8407585.387371e-09
0.5373171.8405765.288799e-09
0.5386951.8403955.189973e-09
0.5400761.8402155.090895e-09
0.5414611.8400364.991562e-09
0.5428491.8398584.891974e-09
0.5442411.8396814.792132e-09
0.5456361.8395054.692033e-09
0.5470351.839334.591678e-09
0.5484381.8391564.491065e-09
0.5498441.8389824.390194e-09
0.551.8389634.379000e-09
0.5512541.838814.388980e-09
0.5526671.8386394.400230e-09
0.5540841.8384684.411510e-09
0.5555051.8382994.422818e-09
0.5569291.838134.434156e-09
0.5583571.8379634.445522e-09
0.5597891.8377964.456918e-09
0.5612241.837634.468343e-09
0.5626631.8374654.479797e-09
0.5641061.8373014.491280e-09
0.5655521.8371384.502793e-09
0.5670021.8369764.514336e-09
0.5684561.8368144.525908e-09
0.5699131.8366544.537509e-09
0.5713741.8364944.549141e-09
0.5728391.8363354.560802e-09
0.5743081.8361774.572493e-09
0.5757811.836024.584214e-09
0.5772571.8358634.595966e-09
0.5787371.8357084.607747e-09
0.5802211.8355534.619558e-09
0.5817091.8353994.631400e-09
0.58321.8352464.643272e-09
0.5846951.8350944.655175e-09
0.5861951.8349434.667108e-09
0.5876971.8347924.679072e-09
0.5892041.8346424.691066e-09
0.5907151.8344934.703092e-09
0.592231.8343454.715148e-09
0.5937481.8341974.727235e-09
0.595271.834054.739352e-09
0.5967971.8339044.751501e-09
0.5983271.8337594.763682e-09
0.5998611.8336154.775893e-09
0.61.8336024.777000e-09
0.6013991.8334714.933066e-09
0.6029411.8333285.105088e-09
0.6044871.8331865.277551e-09
0.6060371.8330445.450456e-09
0.6075911.8329035.623805e-09
0.6091481.8327635.797598e-09
0.610711.8326245.971836e-09
0.6122761.8324856.146521e-09
0.6138461.8323476.321655e-09
0.615421.832216.497237e-09
0.6169981.8320736.673269e-09
0.618581.8319386.849753e-09
0.6201661.8318027.026689e-09
0.6217561.8316687.204079e-09
0.623351.8315347.381923e-09
0.6249481.8314017.560224e-09
0.6265511.8312687.738982e-09
0.6281571.8311377.918198e-09
0.6297681.8310058.097874e-09
0.6313821.8308758.278010e-09
0.6330011.8307458.458608e-09
0.6346241.8306168.639669e-09
0.6362511.8304878.821195e-09
0.6378831.8303599.003186e-09
0.6395181.8302329.185643e-09
0.6411581.8301069.368569e-09
0.6428021.8299799.551963e-09
0.644451.8298549.735828e-09
0.6461021.8297299.920164e-09
0.6477591.8296051.010497e-08
0.649421.8294811.029025e-08
0.651.8294391.035500e-08
0.6510851.8293591.049343e-08
0.6527541.8292361.070648e-08
0.6544281.8291141.092007e-08
0.6561061.8289931.113420e-08
0.6577881.8288731.134889e-08
0.6594741.8287521.156413e-08
0.6611651.8286331.177992e-08
0.6628611.8285141.199626e-08
0.664561.8283961.221316e-08
0.6662641.8282781.243061e-08
0.6679721.8281611.264862e-08
0.6696851.8280441.286719e-08
0.6714021.8279281.308632e-08
0.6731231.8278131.330601e-08
0.6748491.8276981.352627e-08
0.676581.8275831.374709e-08
0.6783141.8274691.396847e-08
0.6800531.8273561.419043e-08
0.6817971.8272431.441295e-08
0.6835451.8271311.463604e-08
0.6852981.8270191.485971e-08
0.6870551.8269081.508395e-08
0.6888161.8267971.530876e-08
0.6905831.8266871.553415e-08
0.6923531.8265771.576012e-08
0.6941281.8264681.598666e-08
0.6959081.8263591.621379e-08
0.6976921.8262511.644150e-08
0.6994811.8261431.666980e-08
0.71.8261121.673600e-08
0.7012751.8260361.661396e-08
0.7030731.8259291.644182e-08
0.7048751.8258231.626923e-08
0.7066831.8257171.609620e-08
0.7084951.8256121.592273e-08
0.7103111.8255071.574881e-08
0.7121321.8254031.557445e-08
0.7139581.8252991.539964e-08
0.7157891.8251951.522438e-08
0.7176241.8250921.504867e-08
0.7194641.824991.487251e-08
0.7213091.8248881.469590e-08
0.7231581.8247861.451884e-08
0.7250121.8246851.434132e-08
0.7268711.8245841.416335e-08
0.7287351.8244841.398492e-08
0.7306031.8243841.380604e-08
0.7324771.8242851.362669e-08
0.7343551.8241861.344689e-08
0.7362371.8240871.326662e-08
0.7381251.8239891.308590e-08
0.7400181.8238911.290471e-08
0.7419151.8237941.272305e-08
0.7438171.8236971.254093e-08
0.7457241.8236011.235834e-08
0.7476361.8235051.217529e-08
0.7495531.8234091.199176e-08
0.751.8233871.194900e-08
0.7514751.8233141.197250e-08
0.7534021.8232191.200320e-08
0.7553341.8231251.203398e-08
0.757271.823031.206484e-08
0.7592121.8229371.209578e-08
0.7611591.8228441.212679e-08
0.763111.8227511.215789e-08
0.7650671.8226581.218906e-08
0.7670281.8225661.222032e-08
0.7689951.8224741.225165e-08
0.7709671.8223831.228307e-08
0.7729431.8222921.231456e-08
0.7749251.8222011.234614e-08
0.7769121.8221111.237780e-08
0.7789041.8220211.240954e-08
0.781.8219721.242700e-08
0.7809011.8219321.244133e-08
0.7829031.8218421.247316e-08
0.7849111.8217531.250508e-08
0.7869231.8216651.253708e-08
0.7889411.8215771.256916e-08
0.7909641.8214891.260132e-08
0.7929921.8214021.263357e-08
0.7950251.8213151.266589e-08
0.7970631.8212281.269830e-08
0.7991071.8211411.273080e-08
0.81.8211041.274500e-08
0.8011561.8210551.327386e-08
0.803211.8209691.421384e-08
0.8052691.8208841.515622e-08
0.8073341.8207991.610102e-08
0.8094041.8207141.704824e-08
0.8114791.820631.799789e-08
0.813561.8205451.894998e-08
0.8156461.8204621.990450e-08
0.8177371.8203782.086148e-08
0.8198341.8202952.182090e-08
0.8219361.8202122.278279e-08
0.8240431.8201292.374715e-08
0.8261561.8200472.471397e-08
0.8282741.8199652.568328e-08
0.831.8198982.647300e-08
0.8303981.8198832.635065e-08
0.8325271.8198022.569595e-08
0.8346621.8197212.503957e-08
0.8368021.819642.438151e-08
0.8389471.8195592.372176e-08
0.8410981.8194792.306031e-08
0.8432551.8193992.239717e-08
0.8454171.8193192.173234e-08
0.8475841.819242.106579e-08
0.8497581.8191612.039754e-08
0.851.8191522.032300e-08
0.8519361.8190822.036928e-08
0.8541211.8190032.042148e-08
0.8563111.8189252.047382e-08
0.8585061.8188472.052630e-08
0.8607071.8187692.057891e-08
0.8629141.8186912.063165e-08
0.8651271.8186142.068453e-08
0.8673451.8185372.073754e-08
0.8695691.818462.079069e-08
0.8717981.8183832.084398e-08
0.8740331.8183072.089740e-08
0.8762741.8182312.095096e-08
0.8785211.8181552.100466e-08
0.8807741.818082.105849e-08
0.8830321.8180042.111246e-08
0.8852961.8179292.116658e-08
0.8875661.8178542.122083e-08
0.8898421.817782.127521e-08
0.8921231.8177052.132974e-08
0.8944111.8176312.138441e-08
0.8967041.8175572.143922e-08
0.8990031.8174832.149417e-08
0.91.8174522.151800e-08
0.9013081.817412.154928e-08
0.9036191.8173372.160456e-08
0.9059361.8172642.165998e-08
0.9082581.8171912.171554e-08
0.9105871.8171182.177125e-08
0.9129221.8170462.182709e-08
0.9152631.8169742.188308e-08
0.9176091.8169022.193921e-08
0.9199621.816832.199549e-08
0.9223211.8167582.205191e-08
0.9246861.8166872.210848e-08
0.9270561.8166162.216519e-08
0.9294331.8165452.222205e-08
0.9318161.8164742.227905e-08
0.9342061.8164032.233620e-08
0.9366011.8163332.239349e-08
0.9390021.8162632.245093e-08
0.941411.8161922.250852e-08
0.9438241.8161232.256626e-08
0.9462441.8160532.262414e-08
0.948671.8159832.268218e-08
0.951.8159462.271400e-08
0.9511021.8159142.256450e-08
0.9535411.8158452.223368e-08
0.9559851.8157762.190202e-08
0.9584371.8157072.156950e-08
0.9608941.8156392.123613e-08
0.9633581.815572.090190e-08
0.9658281.8155022.056682e-08
0.9683041.8154342.023088e-08
0.9707871.8153661.989407e-08
0.9732761.8152981.955641e-08
0.9757711.815231.921787e-08
0.9782731.8151631.887847e-08
0.9807811.8150961.853820e-08
0.9832961.8150281.819706e-08
0.9858171.8149611.785504e-08
0.9883451.8148941.751215e-08
0.9908791.8148281.716837e-08
0.9934191.8147611.682372e-08
0.9959671.8146951.647818e-08
0.998521.8146281.613175e-08
11.814591.593100e-08
1.001081.8145621.594822e-08
1.003651.8144961.598913e-08
1.006221.814431.603015e-08
1.00881.8143641.607128e-08
1.011391.8142991.611251e-08
1.013981.8142331.615384e-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
—