Optical constants

Refractive index of TAFD5G (HOYA)

TAFD5G: 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
1.40486e-08
Permittivity ε1
3.3665
Permittivity ε2
5.15530e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
42.721
Chromatic dispersion dn/dλ
-0.0999111 µm⁻¹
Group index ng
1.89351
Group velocity dispersion
186.439 fs²/mm
Dispersion parameter D
-1017.12 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

# TAFD5G (HOYA): TAFD5G
hoya_tafd5g = ls.fetch_refractiveindex("specs", "HOYA-optical", "TAFD5G", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_tafd5g.range_nm)  # (365.01, 1013.98) nm
eps = hoya_tafd5g.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=3.2756799−0.014485625⁢λ2.0+0.030780102⁢λ−2.0+0.00078915515⁢λ−4.0−4.0810229×10-6⁢λ−6.0+2.2273965×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.2756799
C2-0.014485625
C32.0
C40.030780102
C5-2.0
C60.00078915515
C7-4.0
C8-4.0810229e-06
C9-6.0
C102.2273965e-06
C11-8.0

Comments and conditions

Recommended glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 2.22e-06 9.37e-09 -5.94e-11 8.37e-07 7.86e-10 0.157
nd
1.83481
Vd
42.72
glass code
835427
glass status
standard
density
value: 4570
thermal expansion
value: 6.3e-06, temperature range: 243 343; value: 7.8e-06, temperature range: 293 573
dPgF
-0.0065
resistance
acid: 3.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.86e-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
TAFD5G (HOYA), TAFD5G: n and k versus wavelength
λ (µm)nk
0.365011.8853585.703569e-07
0.3659461.8848925.466737e-07
0.3668841.8844285.229298e-07
0.3678251.8839684.991250e-07
0.3687681.8835114.752591e-07
0.3697131.8830584.513320e-07
0.371.8829214.440800e-07
0.3706611.8826074.340115e-07
0.3716121.882164.195431e-07
0.3725651.8817164.050377e-07
0.373521.8812753.904951e-07
0.3744771.8808373.759152e-07
0.3754381.8804033.612979e-07
0.37641.8799713.466431e-07
0.3773651.8795433.319508e-07
0.3783331.8791173.172207e-07
0.3793031.8786943.024530e-07
0.381.8783932.918400e-07
0.3802751.8782752.892733e-07
0.381251.8778582.801861e-07
0.3822281.8774442.710757e-07
0.3832081.8770332.619419e-07
0.384191.8766252.527847e-07
0.3851761.876222.436040e-07
0.3861631.8758172.343998e-07
0.3871531.8754172.251720e-07
0.3881461.875022.159205e-07
0.3891411.8746262.066453e-07
0.391.8742891.986400e-07
0.3901391.8742341.979171e-07
0.3911391.8738451.927075e-07
0.3921421.8734591.874846e-07
0.3931471.8730751.822483e-07
0.3941551.8726941.769985e-07
0.3951661.8723161.717353e-07
0.3961791.871941.664586e-07
0.3971951.8715661.611683e-07
0.3982131.8711951.558645e-07
0.3992341.8708271.505471e-07
0.41.8705521.465600e-07
0.4002581.8704611.458494e-07
0.4012841.8700971.430231e-07
0.4023131.8697361.401896e-07
0.4033451.8693771.373489e-07
0.4043791.8690211.345009e-07
0.4054161.8686661.316455e-07
0.4064551.8683151.287829e-07
0.4074971.8679651.259129e-07
0.4085421.8676181.230355e-07
0.409591.8672731.201508e-07
0.410641.8669311.172587e-07
0.4116931.866591.143591e-07
0.4127481.8662521.114521e-07
0.4138061.8659161.085377e-07
0.4148671.8655831.056158e-07
0.4159311.8652511.026864e-07
0.4169981.8649229.974951e-08
0.4180671.8645949.680507e-08
0.4191391.8642699.385309e-08
0.421.864019.148100e-08
0.4202131.8639469.118361e-08
0.4212911.8636258.968159e-08
0.4223711.8633068.817572e-08
0.4234541.8629898.666599e-08
0.424541.8626748.515238e-08
0.4256281.8623618.363490e-08
0.4267191.862058.211352e-08
0.4278131.8617418.058824e-08
0.428911.8614347.905905e-08
0.430011.8611297.752595e-08
0.4311131.8608267.598891e-08
0.4322181.8605257.444793e-08
0.4333261.8602267.290299e-08
0.4344371.8599297.135410e-08
0.4355511.8596336.980124e-08
0.4366681.8593396.824439e-08
0.4377871.8590486.668355e-08
0.438911.8587586.511872e-08
0.441.8584786.359900e-08
0.4400351.8584696.357133e-08
0.4411631.8581836.268567e-08
0.4422951.8578986.179773e-08
0.4434291.8576156.090752e-08
0.4445661.8573346.001502e-08
0.4457051.8570555.912024e-08
0.4468481.8567775.822316e-08
0.4479941.8565015.732378e-08
0.4491431.8562275.642210e-08
0.4502941.8559555.551810e-08
0.4514491.8556845.461179e-08
0.4526061.8554145.370315e-08
0.4537671.8551475.279219e-08
0.454931.8548815.187888e-08
0.4560971.8546175.096324e-08
0.4572661.8543545.004525e-08
0.4584381.8540934.912490e-08
0.4596141.8538334.820220e-08
0.461.8537494.789900e-08
0.4607921.8535754.736957e-08
0.4619741.8533194.658001e-08
0.4631581.8530644.578842e-08
0.4643461.8528114.499479e-08
0.4655361.8525594.419914e-08
0.466731.8523094.340144e-08
0.4679271.852064.260170e-08
0.4691261.8518134.179991e-08
0.4703291.8515674.099606e-08
0.4715351.8513234.019015e-08
0.4727441.851083.938218e-08
0.4739561.8508383.857213e-08
0.4751711.8505983.776001e-08
0.476391.850363.694580e-08
0.4776111.8501233.612951e-08
0.4788361.8498873.531112e-08
0.481.8496653.453300e-08
0.4800631.8496533.449944e-08
0.4812941.849423.384782e-08
0.4825281.8491883.319453e-08
0.4837651.8489583.253956e-08
0.4850061.8487293.188292e-08
0.4862491.8485013.122459e-08
0.4874961.8482753.056457e-08
0.4887461.848052.990286e-08
0.4899991.8478272.923945e-08
0.4912551.8476052.857435e-08
0.4925151.8473842.790753e-08
0.4937781.8471642.723901e-08
0.4950441.8469462.656878e-08
0.4963131.8467282.589682e-08
0.4975861.8465132.522314e-08
0.4988611.8462982.454774e-08
0.51.8461082.394500e-08
0.5001411.8460852.391466e-08
0.5014231.8458722.363780e-08
0.5027091.8456612.336023e-08
0.5039971.8454522.308195e-08
0.505291.8452432.280296e-08
0.5065851.8450362.252325e-08
0.5078841.844832.224283e-08
0.5091861.8446252.196168e-08
0.5104921.8444212.167982e-08
0.5118011.8442182.139723e-08
0.5131131.8440172.111392e-08
0.5144291.8438172.082988e-08
0.5157481.8436172.054511e-08
0.517071.8434192.025961e-08
0.5183961.8432221.997338e-08
0.5197251.8430271.968642e-08
0.5210571.8428321.939872e-08
0.5223931.8426381.911028e-08
0.5237331.8424461.882111e-08
0.5250761.8422541.853119e-08
0.5264221.8420641.824053e-08
0.5277721.8418741.794912e-08
0.5291251.8416861.765697e-08
0.5304811.8414991.736406e-08
0.5318421.8413131.707041e-08
0.5332051.8411281.677600e-08
0.5345721.8409441.648084e-08
0.5359431.8407611.618493e-08
0.5373171.8405781.588825e-08
0.5386951.8403971.559081e-08
0.5400761.8402171.529261e-08
0.5414611.8400381.499365e-08
0.5428491.839861.469391e-08
0.5442411.8396831.439341e-08
0.5456361.8395071.409214e-08
0.5470351.8393321.379010e-08
0.5484381.8391581.348728e-08
0.5498441.8389841.318369e-08
0.551.8389651.315000e-08
0.5512541.8388121.317996e-08
0.5526671.8386411.321374e-08
0.5540841.838471.324761e-08
0.5555051.8383011.328156e-08
0.5569291.8381321.331561e-08
0.5583571.8379641.334973e-08
0.5597891.8377981.338395e-08
0.5612241.8376321.341825e-08
0.5626631.8374671.345264e-08
0.5641061.8373031.348712e-08
0.5655521.837141.352169e-08
0.5670021.8369771.355635e-08
0.5684561.8368161.359109e-08
0.5699131.8366551.362593e-08
0.5713741.8364961.366085e-08
0.5728391.8363371.369586e-08
0.5743081.8361791.373097e-08
0.5757811.8360211.376616e-08
0.5772571.8358651.380144e-08
0.5787371.835711.383682e-08
0.5802211.8355551.387228e-08
0.5817091.8354011.390784e-08
0.58321.8352481.394348e-08
0.5846951.8350961.397922e-08
0.5861951.8349441.401505e-08
0.5876971.8347931.405097e-08
0.5892041.8346441.408698e-08
0.5907151.8344941.412309e-08
0.592231.8343461.415929e-08
0.5937481.8341991.419558e-08
0.595271.8340521.423196e-08
0.5967971.8339061.426844e-08
0.5983271.833761.430501e-08
0.5998611.8336161.434168e-08
0.61.8336031.434500e-08
0.6013991.8334721.423336e-08
0.6029411.8333291.411032e-08
0.6044871.8331871.398695e-08
0.6060371.8330451.386327e-08
0.6075911.8329051.373927e-08
0.6091481.8327641.361496e-08
0.610711.8326251.349032e-08
0.6122761.8324861.336537e-08
0.6138461.8323481.324009e-08
0.615421.8322111.311450e-08
0.6169981.8320751.298858e-08
0.618581.8319391.286234e-08
0.6201661.8318031.273577e-08
0.6217561.8316691.260889e-08
0.623351.8315351.248167e-08
0.6249481.8314021.235413e-08
0.6265511.831271.222626e-08
0.6281571.8311381.209807e-08
0.6297681.8310071.196955e-08
0.6313821.8308761.184069e-08
0.6330011.8307461.171151e-08
0.6346241.8306171.158199e-08
0.6362511.8304881.145215e-08
0.6378831.830361.132197e-08
0.6395181.8302331.119145e-08
0.6411581.8301061.106060e-08
0.6428021.829981.092942e-08
0.644451.8298551.079790e-08
0.6461021.829731.066604e-08
0.6477591.8296061.053385e-08
0.649421.8294821.040131e-08
0.651.8294391.035500e-08
0.6510851.8293591.037229e-08
0.6527541.8292371.039890e-08
0.6544281.8291151.042558e-08
0.6561061.8289941.045232e-08
0.6577881.8288731.047914e-08
0.6594741.8287531.050602e-08
0.6611651.8286341.053298e-08
0.6628611.8285151.056000e-08
0.664561.8283971.058709e-08
0.6662641.8282791.061425e-08
0.6679721.8281621.064148e-08
0.6696851.8280451.066878e-08
0.6714021.8279291.069615e-08
0.6731231.8278141.072359e-08
0.6748491.8276991.075110e-08
0.676581.8275841.077868e-08
0.6783141.827471.080633e-08
0.6800531.8273571.083405e-08
0.6817971.8272441.086185e-08
0.6835451.8271321.088971e-08
0.6852981.827021.091765e-08
0.6870551.8269091.094565e-08
0.6888161.8267981.097373e-08
0.6905831.8266881.100189e-08
0.6923531.8265781.103011e-08
0.6941281.8264691.105841e-08
0.6959081.826361.108678e-08
0.6976921.8262521.111522e-08
0.6994811.8261441.114373e-08
0.71.8261131.115200e-08
0.7012751.8260371.101992e-08
0.7030731.825931.083362e-08
0.7048751.8258241.064684e-08
0.7066831.8257181.045958e-08
0.7084951.8256131.027184e-08
0.7103111.8255081.008362e-08
0.7121321.8254049.894918e-09
0.7139581.82539.705730e-09
0.7157891.8251969.516058e-09
0.7176241.8250949.325900e-09
0.7194641.8249919.135254e-09
0.7213091.8248898.944119e-09
0.7231581.8247878.752494e-09
0.7250121.8246868.560377e-09
0.7268711.8245868.367769e-09
0.7287351.8244858.174666e-09
0.7306031.8243857.981068e-09
0.7324771.8242867.786974e-09
0.7343551.8241877.592382e-09
0.7362371.8240897.397291e-09
0.7381251.823997.201700e-09
0.7400181.8238937.005608e-09
0.7419151.8237966.809012e-09
0.7438171.8236996.611913e-09
0.7457241.8236026.414308e-09
0.7476361.8235066.216197e-09
0.7495531.8234116.017578e-09
0.751.8233885.971300e-09
0.7514751.8233155.983043e-09
0.7534021.8232215.998380e-09
0.7553341.8231266.013756e-09
0.757271.8230326.029172e-09
0.7592121.8229396.044627e-09
0.7611591.8228456.060122e-09
0.763111.8227526.075656e-09
0.7650671.822666.091231e-09
0.7670281.8225686.106845e-09
0.7689951.8224766.122500e-09
0.7709671.8223856.138194e-09
0.7729431.8222946.153929e-09
0.7749251.8222036.169704e-09
0.7769121.8221136.185520e-09
0.7789041.8220236.201376e-09
0.781.8219746.210100e-09
0.7809011.8219346.217277e-09
0.7829031.8218446.233225e-09
0.7849111.8217566.249213e-09
0.7869231.8216676.265243e-09
0.7889411.8215796.281313e-09
0.7909641.8214916.297425e-09
0.7929921.8214046.313578e-09
0.7950251.8213176.329772e-09
0.7970631.821236.346008e-09
0.7991071.8211446.362286e-09
0.81.8211066.369400e-09
0.8011561.8210586.633431e-09
0.803211.8209727.102705e-09
0.8052691.8208867.573183e-09
0.8073341.8208018.044867e-09
0.8094041.8207178.517760e-09
0.8114791.8206328.991866e-09
0.813561.8205489.467187e-09
0.8156461.8204649.943728e-09
0.8177371.8203811.042149e-08
0.8198341.8202981.090048e-08
0.8219361.8202151.138069e-08
0.8240431.8201321.186214e-08
0.8261561.820051.234482e-08
0.8282741.8199681.282874e-08
0.831.8199011.322300e-08
0.8303981.8198861.322935e-08
0.8325271.8198051.326331e-08
0.8346621.8197241.329735e-08
0.8368021.8196431.333149e-08
0.8389471.8195621.336571e-08
0.8410981.8194821.340002e-08
0.8432551.8194021.343441e-08
0.8454171.8193221.346890e-08
0.8475841.8192431.350347e-08
0.8497581.8191641.353813e-08
0.851.8191551.354200e-08
0.8519361.8190851.357283e-08
0.8541211.8190061.360760e-08
0.8563111.8189281.364247e-08
0.8585061.818851.367742e-08
0.8607071.8187721.371246e-08
0.8629141.8186951.374759e-08
0.8651271.8186181.378282e-08
0.8673451.8185411.381813e-08
0.8695691.8184641.385353e-08
0.8717981.8183871.388903e-08
0.8740331.8183111.392461e-08
0.8762741.8182351.396029e-08
0.8785211.8181591.399606e-08
0.8807741.8180841.403192e-08
0.8830321.8180081.406787e-08
0.8852961.8179331.410391e-08
0.8875661.8178591.414005e-08
0.8898421.8177841.417628e-08
0.8921231.817711.421260e-08
0.8944111.8176361.424902e-08
0.8967041.8175621.428552e-08
0.8990031.8174881.432213e-08
0.91.8174561.433800e-08
0.9013081.8174151.455710e-08
0.9036191.8173411.494422e-08
0.9059361.8172681.533234e-08
0.9082581.8171961.572145e-08
0.9105871.8171231.611157e-08
0.9129221.8170511.650268e-08
0.9152631.8169781.689479e-08
0.9176091.8169071.728791e-08
0.9199621.8168351.768204e-08
0.9223211.8167631.807718e-08
0.9246861.8166921.847333e-08
0.9270561.8166211.887050e-08
0.9294331.816551.926868e-08
0.9318161.8164791.966789e-08
0.9342061.8164092.006812e-08
0.9366011.8163382.046937e-08
0.9390021.8162682.087166e-08
0.941411.8161982.127497e-08
0.9438241.8161282.167932e-08
0.9462441.8160592.208471e-08
0.948671.8159892.249114e-08
0.951.8159512.271400e-08
0.9511021.815922.274034e-08
0.9535411.8158512.279862e-08
0.9559851.8157822.285705e-08
0.9584371.8157132.291563e-08
0.9608941.8156452.297437e-08
0.9633581.8155762.303325e-08
0.9658281.8155082.309228e-08
0.9683041.815442.315147e-08
0.9707871.8153722.321080e-08
0.9732761.8153042.327029e-08
0.9757711.8152372.332993e-08
0.9782731.8151692.338973e-08
0.9807811.8151022.344967e-08
0.9832961.8150352.350978e-08
0.9858171.8149682.357003e-08
0.9883451.8149012.363044e-08
0.9908791.8148342.369100e-08
0.9934191.8147682.375172e-08
0.9959671.8147012.381260e-08
0.998521.8146352.387363e-08
11.8145972.390900e-08
1.001081.8145692.393484e-08
1.003651.8145032.399624e-08
1.006221.8144372.405779e-08
1.00881.8143712.411950e-08
1.011391.8143062.418137e-08
1.013981.814242.424340e-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
—