Optical constants

Refractive index of TAF2 (HOYA)

TAF2: 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
1.79449
Extinction coefficient k
1.40486e-08
Permittivity ε1
3.22021
Permittivity ε2
5.04204e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
45.386
Chromatic dispersion dn/dλ
-0.0898129 µm⁻¹
Group index ng
1.84727
Group velocity dispersion
164.789 fs²/mm
Dispersion parameter D
-899.012 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

# TAF2 (HOYA): TAF2
hoya_taf2 = ls.fetch_refractiveindex("specs", "HOYA-optical", "TAF2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_taf2.range_nm)  # (365.01, 1013.98) nm
eps = hoya_taf2.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=3.1415564−0.014370304⁢λ2.0+0.026483051⁢λ−2.0+0.00095642714⁢λ−4.0−5.9411087×10-5⁢λ−6.0+4.703953×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.1415564
C2-0.014370304
C32.0
C40.026483051
C5-2.0
C60.00095642714
C7-4.0
C8-5.9411087e-05
C9-6.0
C104.703953e-06
C11-8.0

Comments and conditions

Not in a position to accept new order because of discontinuation.

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 5.63294e-06 0.0 0.0 0.0 0.0 0.0
nd
1.79450
Vd
45.39
glass code
795454
glass status
special
density
value: 4350
thermal expansion
value: 6e-06, temperature range: 243 343; value: 7.4e-06, temperature range: 293 573
dPgF
-0.0093
resistance
acid: 3.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.47e-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
TAF2 (HOYA), TAF2: n and k versus wavelength
λ (µm)nk
0.365011.839055.280966e-07
0.3659461.8386435.053212e-07
0.3668841.838244.824874e-07
0.3678251.837844.595950e-07
0.3687681.8374424.366440e-07
0.3697131.8370474.136341e-07
0.371.8369284.066600e-07
0.3706611.8366553.970941e-07
0.3716121.8362663.833480e-07
0.3725651.835883.695667e-07
0.373521.8354963.557501e-07
0.3744771.8351153.418980e-07
0.3754381.8347363.280105e-07
0.37641.8343613.140873e-07
0.3773651.8339873.001284e-07
0.3783331.8336172.861337e-07
0.3793031.8332492.721032e-07
0.381.8329862.620200e-07
0.3802751.8328832.596392e-07
0.381251.832522.512102e-07
0.3822281.8321592.427596e-07
0.3832081.8318012.342873e-07
0.384191.8314452.257933e-07
0.3851761.8310922.172775e-07
0.3861631.8307412.087399e-07
0.3871531.8303932.001804e-07
0.3881461.8300461.915990e-07
0.3891411.8297021.829955e-07
0.391.8294081.755700e-07
0.3901391.8293611.749366e-07
0.3911391.8290211.703722e-07
0.3921421.8286841.657962e-07
0.3931471.8283491.612083e-07
0.3941551.8280171.566088e-07
0.3951661.8276861.519974e-07
0.3961791.8273581.473742e-07
0.3971951.8270321.427391e-07
0.3982131.8267081.380922e-07
0.3992341.8263861.334333e-07
0.41.8261461.299400e-07
0.4002581.8260661.292669e-07
0.4012841.8257481.265899e-07
0.4023131.8254321.239061e-07
0.4033451.8251191.212154e-07
0.4043791.8248071.185178e-07
0.4054161.8244971.158132e-07
0.4064551.824191.131018e-07
0.4074971.8238841.103834e-07
0.4085421.823581.076580e-07
0.409591.8232781.049256e-07
0.410641.8229781.021862e-07
0.4116931.822689.943981e-08
0.4127481.8223849.668637e-08
0.4138061.822099.392586e-08
0.4148671.8217979.115828e-08
0.4159311.8215078.838360e-08
0.4169981.8212188.560181e-08
0.4180671.8209318.281288e-08
0.4191391.8206468.001681e-08
0.421.8204187.777000e-08
0.4202131.8203627.758085e-08
0.4212911.8200817.662551e-08
0.4223711.8198017.566772e-08
0.4234541.8195237.470747e-08
0.424541.8192467.374476e-08
0.4256281.8189717.277958e-08
0.4267191.8186987.181193e-08
0.4278131.8184277.084180e-08
0.428911.8181576.986918e-08
0.430011.8178896.889406e-08
0.4311131.8176236.791645e-08
0.4322181.8173586.693632e-08
0.4333261.8170956.595369e-08
0.4344371.8168336.496854e-08
0.4355511.8165736.398086e-08
0.4366681.8163156.299064e-08
0.4377871.8160586.199789e-08
0.438911.8158026.100260e-08
0.441.8155576.003600e-08
0.4400351.8155496.000808e-08
0.4411631.8152965.911429e-08
0.4422951.8150465.821821e-08
0.4434291.8147965.731983e-08
0.4445661.8145495.641915e-08
0.4457051.8143025.551616e-08
0.4468481.8140575.461085e-08
0.4479941.8138145.370323e-08
0.4491431.8135725.279327e-08
0.4502941.8133325.188099e-08
0.4514491.8130935.096636e-08
0.4526061.8128555.004939e-08
0.4537671.8126194.913007e-08
0.454931.8123844.820839e-08
0.4560971.812154.728434e-08
0.4572661.8119184.635793e-08
0.4584381.8116874.542915e-08
0.4596141.8114584.449798e-08
0.461.8113834.419200e-08
0.4607921.811234.365683e-08
0.4619741.8110034.285870e-08
0.4631581.8107784.205852e-08
0.4643461.8105544.125629e-08
0.4655361.8103314.045200e-08
0.466731.8101093.964565e-08
0.4679271.8098893.883723e-08
0.4691261.809673.802674e-08
0.4703291.8094523.721418e-08
0.4715351.8092363.639952e-08
0.4727441.8090213.558278e-08
0.4739561.8088073.476395e-08
0.4751711.8085943.394302e-08
0.476391.8083833.311998e-08
0.4776111.8081723.229483e-08
0.4788361.8079633.146756e-08
0.481.8077663.068100e-08
0.4800631.8077553.064697e-08
0.4812941.8075492.998618e-08
0.4825281.8073432.932369e-08
0.4837651.8071392.865951e-08
0.4850061.8069362.799362e-08
0.4862491.8067342.732603e-08
0.4874961.8065332.665672e-08
0.4887461.8063332.598570e-08
0.4899991.8061342.531296e-08
0.4912551.8059372.463849e-08
0.4925151.805742.396230e-08
0.4937781.8055452.328437e-08
0.4950441.8053512.260470e-08
0.4963131.8051582.192329e-08
0.4975861.8049662.124013e-08
0.4988611.8047752.055522e-08
0.51.8046051.994400e-08
0.5001411.8045851.992490e-08
0.5014231.8043961.975066e-08
0.5027091.8042081.957597e-08
0.5039971.8040211.940083e-08
0.505291.8038361.922524e-08
0.5065851.8036511.904920e-08
0.5078841.8034671.887271e-08
0.5091861.8032851.869577e-08
0.5104921.8031031.851837e-08
0.5118011.8029221.834052e-08
0.5131131.8027431.816221e-08
0.5144291.8025641.798345e-08
0.5157481.8023861.780423e-08
0.517071.802211.762454e-08
0.5183961.8020341.744440e-08
0.5197251.8018591.726380e-08
0.5210571.8016851.708273e-08
0.5223931.8015131.690120e-08
0.5237331.8013411.671920e-08
0.5250761.801171.653673e-08
0.5264221.8011.635380e-08
0.5277721.800831.617040e-08
0.5291251.8006621.598653e-08
0.5304811.8004951.580219e-08
0.5318421.8003291.561737e-08
0.5332051.8001631.543208e-08
0.5345721.7999991.524632e-08
0.5359431.7998351.506008e-08
0.5373171.7996721.487336e-08
0.5386951.799511.468616e-08
0.5400761.7993491.449849e-08
0.5414611.7991891.431033e-08
0.5428491.7990291.412169e-08
0.5442411.7988711.393256e-08
0.5456361.7987131.374295e-08
0.5470351.7985561.355286e-08
0.5484381.79841.336228e-08
0.5498441.7982451.317120e-08
0.551.7982281.315000e-08
0.5512541.7980911.317996e-08
0.5526671.7979371.321374e-08
0.5540841.7977851.324761e-08
0.5555051.7976331.328156e-08
0.5569291.7974821.331561e-08
0.5583571.7973311.334973e-08
0.5597891.7971821.338395e-08
0.5612241.7970331.341825e-08
0.5626631.7968851.345264e-08
0.5641061.7967381.348712e-08
0.5655521.7965921.352169e-08
0.5670021.7964461.355635e-08
0.5684561.7963011.359109e-08
0.5699131.7961571.362593e-08
0.5713741.7960141.366085e-08
0.5728391.7958711.369586e-08
0.5743081.7957291.373097e-08
0.5757811.7955881.376616e-08
0.5772571.7954481.380144e-08
0.5787371.7953081.383682e-08
0.5802211.7951691.387228e-08
0.5817091.7950311.390784e-08
0.58321.7948931.394348e-08
0.5846951.7947561.397922e-08
0.5861951.794621.401505e-08
0.5876971.7944851.405097e-08
0.5892041.794351.408698e-08
0.5907151.7942161.412309e-08
0.592231.7940831.415929e-08
0.5937481.793951.419558e-08
0.595271.7938181.423196e-08
0.5967971.7936861.426844e-08
0.5983271.7935561.430501e-08
0.5998611.7934261.434168e-08
0.61.7934141.434500e-08
0.6013991.7932961.437846e-08
0.6029411.7931681.441535e-08
0.6044871.793041.445233e-08
0.6060371.7929121.448940e-08
0.6075911.7927851.452657e-08
0.6091481.7926591.456383e-08
0.610711.7925341.460119e-08
0.6122761.7924091.463864e-08
0.6138461.7922841.467620e-08
0.615421.7921611.471384e-08
0.6169981.7920381.475159e-08
0.618581.7919151.478943e-08
0.6201661.7917931.482736e-08
0.6217561.7916721.486540e-08
0.623351.7915521.490353e-08
0.6249481.7914311.494176e-08
0.6265511.7913121.498009e-08
0.6281571.7911931.501852e-08
0.6297681.7910751.505704e-08
0.6313821.7909571.509566e-08
0.6330011.790841.513439e-08
0.6346241.7907231.517321e-08
0.6362511.7906071.521213e-08
0.6378831.7904921.525115e-08
0.6395181.7903771.529027e-08
0.6411581.7902631.532950e-08
0.6428021.7901491.536882e-08
0.644451.7900361.540824e-08
0.6461021.7899231.544777e-08
0.6477591.7898111.548739e-08
0.649421.7896991.552712e-08
0.651.789661.554100e-08
0.6510851.7895881.544578e-08
0.6527541.7894781.529925e-08
0.6544281.7893681.515233e-08
0.6561061.7892581.500505e-08
0.6577881.7891491.485738e-08
0.6594741.7890411.470933e-08
0.6611651.7889331.456091e-08
0.6628611.7888251.441210e-08
0.664561.7887181.426292e-08
0.6662641.7886121.411335e-08
0.6679721.7885061.396340e-08
0.6696851.78841.381306e-08
0.6714021.7882951.366234e-08
0.6731231.7881911.351123e-08
0.6748491.7880871.335973e-08
0.676581.7879831.320784e-08
0.6783141.787881.305557e-08
0.6800531.7877781.290291e-08
0.6817971.7876751.274985e-08
0.6835451.7875741.259640e-08
0.6852981.7874731.244256e-08
0.6870551.7873721.228832e-08
0.6888161.7872721.213369e-08
0.6905831.7871721.197866e-08
0.6923531.7870721.182324e-08
0.6941281.7869731.166741e-08
0.6959081.7868751.151119e-08
0.6976921.7867771.135456e-08
0.6994811.7866791.119754e-08
0.71.7866511.115200e-08
0.7012751.7865821.101992e-08
0.7030731.7864851.083362e-08
0.7048751.7863891.064684e-08
0.7066831.7862931.045958e-08
0.7084951.7861981.027184e-08
0.7103111.7861031.008362e-08
0.7121321.7860089.894918e-09
0.7139581.7859149.705730e-09
0.7157891.785829.516058e-09
0.7176241.7857269.325900e-09
0.7194641.7856339.135254e-09
0.7213091.7855418.944119e-09
0.7231581.7854498.752494e-09
0.7250121.7853578.560377e-09
0.7268711.7852658.367769e-09
0.7287351.7851748.174666e-09
0.7306031.7850847.981068e-09
0.7324771.7849937.786974e-09
0.7343551.7849047.592382e-09
0.7362371.7848147.397291e-09
0.7381251.7847257.201700e-09
0.7400181.7846367.005608e-09
0.7419151.7845486.809012e-09
0.7438171.784466.611913e-09
0.7457241.7843726.414308e-09
0.7476361.7842856.216197e-09
0.7495531.7841986.017578e-09
0.751.7841785.971300e-09
0.7514751.7841115.983043e-09
0.7534021.7840255.998380e-09
0.7553341.7839396.013756e-09
0.757271.7838546.029172e-09
0.7592121.7837686.044627e-09
0.7611591.7836846.060122e-09
0.763111.7835996.075656e-09
0.7650671.7835156.091231e-09
0.7670281.7834316.106845e-09
0.7689951.7833486.122500e-09
0.7709671.7832646.138194e-09
0.7729431.7831826.153929e-09
0.7749251.7830996.169704e-09
0.7769121.7830176.185520e-09
0.7789041.7829356.201376e-09
0.781.782896.210100e-09
0.7809011.7828536.217277e-09
0.7829031.7827726.233225e-09
0.7849111.7826916.249213e-09
0.7869231.782616.265243e-09
0.7889411.782536.281313e-09
0.7909641.782456.297425e-09
0.7929921.782376.313578e-09
0.7950251.7822916.329772e-09
0.7970631.7822126.346008e-09
0.7991071.7821336.362286e-09
0.81.7820996.369400e-09
0.8011561.7820546.378600e-09
0.803211.7819766.394951e-09
0.8052691.7818986.411343e-09
0.8073341.781826.427778e-09
0.8094041.7817436.444255e-09
0.8114791.7816666.460775e-09
0.813561.7815896.477336e-09
0.8156461.7815136.493940e-09
0.8177371.7814366.510587e-09
0.8198341.781366.527276e-09
0.8219361.7812846.544008e-09
0.8240431.7812096.560783e-09
0.8261561.7811346.577602e-09
0.8282741.7810596.594463e-09
0.831.7809986.608200e-09
0.8303981.7809846.611369e-09
0.8325271.780916.628327e-09
0.8346621.7808356.645329e-09
0.8368021.7807616.662375e-09
0.8389471.7806886.679464e-09
0.8410981.7806146.696597e-09
0.8432551.7805416.713774e-09
0.8454171.7804686.730995e-09
0.8475841.7803956.748260e-09
0.8497581.7803236.765569e-09
0.851.7803156.767500e-09
0.8519361.7802516.782917e-09
0.8541211.7801796.800309e-09
0.8563111.7801076.817745e-09
0.8585061.7800356.835226e-09
0.8607071.7799646.852752e-09
0.8629141.7798936.870323e-09
0.8651271.7798226.887939e-09
0.8673451.7797516.905599e-09
0.8695691.7796816.923306e-09
0.8717981.7796116.941057e-09
0.8740331.7795416.958855e-09
0.8762741.7794716.976697e-09
0.8785211.7794016.994586e-09
0.8807741.7793327.012520e-09
0.8830321.7792637.030501e-09
0.8852961.7791947.048527e-09
0.8875661.7791257.066600e-09
0.8898421.7790567.084719e-09
0.8921231.7789887.102884e-09
0.8944111.778927.121096e-09
0.8967041.7788527.139355e-09
0.8990031.7787847.157661e-09
0.91.7787557.165600e-09
0.9013081.7787167.176011e-09
0.9036191.7786497.194406e-09
0.9059361.7785827.212848e-09
0.9082581.7785157.231337e-09
0.9105871.7784487.249874e-09
0.9129221.7783817.268458e-09
0.9152631.7783157.287090e-09
0.9176091.7782487.305770e-09
0.9199621.7781827.324498e-09
0.9223211.7781167.343273e-09
0.9246861.7780517.362097e-09
0.9270561.7779857.380969e-09
0.9294331.777927.399890e-09
0.9318161.7778547.418859e-09
0.9342061.7777897.437876e-09
0.9366011.7777247.456943e-09
0.9390021.7776597.476058e-09
0.941411.7775957.495222e-09
0.9438241.777537.514436e-09
0.9462441.7774667.533698e-09
0.948671.7774027.553010e-09
0.951.7773677.563600e-09
0.9511021.7773387.572374e-09
0.9535411.7772747.591790e-09
0.9559851.777217.611256e-09
0.9584371.7771467.630772e-09
0.9608941.7770837.650338e-09
0.9633581.777027.669954e-09
0.9658281.7769567.689620e-09
0.9683041.7768937.709337e-09
0.9707871.776837.729104e-09
0.9732761.7767687.748922e-09
0.9757711.7767057.768791e-09
0.9782731.7766427.788710e-09
0.9807811.776587.808681e-09
0.9832961.7765187.828703e-09
0.9858171.7764567.848776e-09
0.9883451.7763947.868901e-09
0.9908791.7763327.889077e-09
0.9934191.776277.909306e-09
0.9959671.7762087.929586e-09
0.998521.7761477.949918e-09
11.7761117.961700e-09
1.001081.7760857.970302e-09
1.003651.7760247.990738e-09
1.006221.7759638.011227e-09
1.00881.7759028.031768e-09
1.011391.7758418.052362e-09
1.013981.775788.073009e-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
—