Optical constants

Refractive index of TAF5 (HOYA)

TAF5: 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. Note: k data cover 300-700 nm only; k = 0 elsewhere in the n range 365.01-1013.98 nm.

At one wavelength

Range 0.365–1.014 µm
Refractive index n
1.816
Extinction coefficient k
2.95725e-08
Permittivity ε1
3.29784
Permittivity ε2
1.07407e-07
Absorption coefficient α
0.00632435 cm⁻¹
Penetration depth δ = λ/(2πk)
3.16238e+09 nm
Abbe number Vd
46.572
Chromatic dispersion dn/dλ
-0.0899057 µm⁻¹
Group index ng
1.86882
Group velocity dispersion
164.994 fs²/mm
Dispersion parameter D
-900.129 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

# TAF5 (HOYA): TAF5
hoya_taf5 = ls.fetch_refractiveindex("specs", "HOYA-optical", "TAF5", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_taf5.range_nm)  # (365.01, 1013.98) nm
eps = hoya_taf5.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=3.2191571−0.015310562⁢λ2.0+0.02636257⁢λ−2.0+0.0010534452⁢λ−4.0−6.1660412×10-5⁢λ−6.0+3.9733897×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.2191571
C2-0.015310562
C32.0
C40.02636257
C5-2.0
C60.0010534452
C7-4.0
C8-6.1660412e-05
C9-6.0
C103.9733897e-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: 4.56416e-06 0.0 0.0 0.0 0.0 0.0
nd
1.81600
Vd
46.57
glass code
816466
glass status
special
density
value: 5060
thermal expansion
value: 6.3e-06, temperature range: 243 343; value: 7.7e-06, temperature range: 293 573
dPgF
-0.0083
resistance
acid: 3.0; stain: 2.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.88e-06 K⁻¹ at 633 nm
Notes on the source data (kept exactly as published):
  • k data cover 300-700 nm only; k = 0 elsewhere in the n range 365.01-1013.98 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 413 wavelengths, the same grid as the API and the library
TAF5 (HOYA), TAF5: n and k versus wavelength
λ (µm)nk
0.365011.8603425.961103e-07
0.3659461.8599435.675971e-07
0.3668841.8595465.390107e-07
0.3678251.8591535.103510e-07
0.3687681.8587624.816179e-07
0.3697131.8583744.528111e-07
0.371.8582574.440800e-07
0.3706611.8579884.313859e-07
0.3716121.8576054.131446e-07
0.3725651.8572243.948565e-07
0.373521.8568463.765216e-07
0.3744771.8564713.581397e-07
0.3754381.8560983.397106e-07
0.37641.8557283.212342e-07
0.3773651.8553593.027105e-07
0.3783331.8549942.841393e-07
0.3793031.8546312.655205e-07
0.381.8543722.521400e-07
0.3802751.854272.499407e-07
0.381251.8539112.421542e-07
0.3822281.8535552.343478e-07
0.3832081.8532012.265213e-07
0.384191.852852.186748e-07
0.3851761.8525012.108082e-07
0.3861631.8521542.029214e-07
0.3871531.8518091.950144e-07
0.3881461.8514661.870871e-07
0.3891411.8511261.791395e-07
0.391.8508351.722800e-07
0.3901391.8507881.715087e-07
0.3911391.8504521.659500e-07
0.3921421.8501181.603770e-07
0.3931471.8497861.547898e-07
0.3941551.8494571.491883e-07
0.3951661.8491291.435723e-07
0.3961791.8488041.379420e-07
0.3971951.848481.322973e-07
0.3982131.8481591.266381e-07
0.3992341.847841.209643e-07
0.41.8476021.167100e-07
0.4002581.8475221.158559e-07
0.4012841.8472071.124593e-07
0.4023131.8468931.090539e-07
0.4033451.8465821.056397e-07
0.4043791.8462731.022169e-07
0.4054161.8459659.878523e-08
0.4064551.8456599.534478e-08
0.4074971.8453569.189552e-08
0.4085421.8450548.843740e-08
0.409591.8447548.497043e-08
0.410641.8444568.149456e-08
0.4116931.8441597.800978e-08
0.4127481.8438657.451607e-08
0.4138061.8435727.101340e-08
0.4148671.8432816.750174e-08
0.4159311.8429926.398109e-08
0.4169981.8427056.045140e-08
0.4180671.8424195.691267e-08
0.4191391.8421355.336487e-08
0.421.8419095.051400e-08
0.4202131.8418535.031285e-08
0.4212911.8415734.929691e-08
0.4223711.8412944.827835e-08
0.4234541.8410174.725719e-08
0.424541.8407424.623341e-08
0.4256281.8404684.520700e-08
0.4267191.8401964.417797e-08
0.4278131.8399254.314629e-08
0.428911.8396574.211197e-08
0.430011.8393894.107499e-08
0.4311131.8391244.003536e-08
0.4322181.838863.899306e-08
0.4333261.8385973.794809e-08
0.4344371.8383363.690044e-08
0.4355511.8380773.585011e-08
0.4366681.8378193.479708e-08
0.4377871.8375633.374135e-08
0.438911.8373083.268291e-08
0.441.8370633.165500e-08
0.4400351.8370553.162507e-08
0.4411631.8368033.066703e-08
0.4422951.8365532.970653e-08
0.4434291.8363042.874357e-08
0.4445661.8360572.777814e-08
0.4457051.8358112.681024e-08
0.4468481.8355672.583985e-08
0.4479941.8353242.486697e-08
0.4491431.8350822.389161e-08
0.4502941.8348422.291374e-08
0.4514491.8346032.193336e-08
0.4526061.8343662.095047e-08
0.4537671.834131.996506e-08
0.454931.8338951.897712e-08
0.4560971.8336621.798665e-08
0.4572661.833431.699364e-08
0.4584381.83321.599808e-08
0.4596141.832971.499997e-08
0.461.8328951.467200e-08
0.4607921.8327421.469727e-08
0.4619741.8325161.473496e-08
0.4631581.8322911.477274e-08
0.4643461.8320671.481063e-08
0.4655361.8318441.484861e-08
0.466731.8316231.488668e-08
0.4679271.8314021.492486e-08
0.4691261.8311841.496313e-08
0.4703291.8309661.500150e-08
0.4715351.8307491.503997e-08
0.4727441.8305341.507853e-08
0.4739561.830321.511720e-08
0.4751711.8301081.515597e-08
0.476391.8298961.519483e-08
0.4776111.8296861.523379e-08
0.4788361.8294771.527286e-08
0.481.829281.531000e-08
0.4800631.8292691.529937e-08
0.4812941.8290621.509289e-08
0.4825281.8288571.488588e-08
0.4837651.8286521.467834e-08
0.4850061.8284491.447027e-08
0.4862491.8282471.426167e-08
0.4874961.8280461.405253e-08
0.4887461.8278461.384286e-08
0.4899991.8276471.363264e-08
0.4912551.827451.342189e-08
0.4925151.8272531.321060e-08
0.4937781.8270581.299877e-08
0.4950441.8268631.278639e-08
0.4963131.826671.257347e-08
0.4975861.8264781.236000e-08
0.4988611.8262871.214599e-08
0.51.8261181.195500e-08
0.5001411.8260971.197070e-08
0.5014231.8259081.211399e-08
0.5027091.825721.225765e-08
0.5039971.8255331.240167e-08
0.505291.8253471.254607e-08
0.5065851.8251621.269083e-08
0.5078841.8249791.283597e-08
0.5091861.8247961.298148e-08
0.5104921.8246141.312736e-08
0.5118011.8244331.327361e-08
0.5131131.8242541.342024e-08
0.5144291.8240751.356725e-08
0.5157481.8238971.371463e-08
0.517071.823721.386239e-08
0.5183961.8235441.401053e-08
0.5197251.8233691.415905e-08
0.5210571.8231951.430795e-08
0.5223931.8230221.445723e-08
0.5237331.822851.460689e-08
0.5250761.8226791.475694e-08
0.5264221.8225091.490738e-08
0.5277721.822341.505819e-08
0.5291251.8221711.520940e-08
0.5304811.8220041.536099e-08
0.5318421.8218371.551297e-08
0.5332051.8216721.566535e-08
0.5345721.8215071.581811e-08
0.5359431.8213431.597126e-08
0.5373171.821181.612481e-08
0.5386951.8210181.627875e-08
0.5400761.8208571.643308e-08
0.5414611.8206961.658781e-08
0.5428491.8205371.674294e-08
0.5442411.8203781.689847e-08
0.5456361.820221.705439e-08
0.5470351.8200631.721071e-08
0.5484381.8199071.736744e-08
0.5498441.8197521.752456e-08
0.551.8197351.754200e-08
0.5512541.8195971.794314e-08
0.5526671.8194441.839537e-08
0.5540841.8192911.884876e-08
0.5555051.8191391.930332e-08
0.5569291.8189871.975903e-08
0.5583571.8188372.021592e-08
0.5597891.8186872.067398e-08
0.5612241.8185382.113321e-08
0.5626631.818392.159362e-08
0.5641061.8182432.205521e-08
0.5655521.8180962.251798e-08
0.5670021.8179512.298194e-08
0.5684561.8178062.344709e-08
0.5699131.8176612.391344e-08
0.5713741.8175182.438097e-08
0.5728391.8173752.484971e-08
0.5743081.8172332.531965e-08
0.5757811.8170922.579079e-08
0.5772571.8169512.626314e-08
0.5787371.8168112.673671e-08
0.5802211.8166722.721148e-08
0.5817091.8165342.768748e-08
0.58321.8163962.816469e-08
0.5846951.8162592.864313e-08
0.5861951.8161232.912279e-08
0.5876971.8159872.960369e-08
0.5892041.8158523.008582e-08
0.5907151.8157183.056918e-08
0.592231.8155853.105378e-08
0.5937481.8154523.153963e-08
0.595271.815323.202672e-08
0.5967971.8151883.251506e-08
0.5983271.8150573.300465e-08
0.5998611.8149273.349550e-08
0.61.8149153.354000e-08
0.6013991.8147983.318165e-08
0.6029411.8146693.278666e-08
0.6044871.8145413.239065e-08
0.6060371.8144133.199363e-08
0.6075911.8142863.159560e-08
0.6091481.814163.119654e-08
0.610711.8140343.079646e-08
0.6122761.8139093.039535e-08
0.6138461.8137852.999322e-08
0.615421.8136612.959006e-08
0.6169981.8135382.918586e-08
0.618581.8134152.878062e-08
0.6201661.8132932.837435e-08
0.6217561.8131722.796703e-08
0.623351.8130512.755867e-08
0.6249481.8129312.714926e-08
0.6265511.8128112.673881e-08
0.6281571.8126922.632730e-08
0.6297681.8125742.591473e-08
0.6313821.8124562.550111e-08
0.6330011.8123392.508643e-08
0.6346241.8122222.467068e-08
0.6362511.8121062.425387e-08
0.6378831.811992.383599e-08
0.6395181.8118752.341703e-08
0.6411581.8117612.299701e-08
0.6428021.8116472.257590e-08
0.644451.8115342.215372e-08
0.6461021.8114212.173046e-08
0.6477591.8113092.130610e-08
0.649421.8111972.088067e-08
0.651.8111582.073200e-08
0.6510851.8110862.064531e-08
0.6527541.8109752.051189e-08
0.6544281.8108652.037814e-08
0.6561061.8107552.024404e-08
0.6577881.8106462.010959e-08
0.6594741.8105381.997480e-08
0.6611651.8104291.983967e-08
0.6628611.8103221.970419e-08
0.664561.8102151.956836e-08
0.6662641.8101081.943218e-08
0.6679721.8100021.929566e-08
0.6696851.8098961.915878e-08
0.6714021.8097911.902155e-08
0.6731231.8096871.888398e-08
0.6748491.8095831.874604e-08
0.676581.8094791.860776e-08
0.6783141.8093761.846912e-08
0.6800531.8092731.833013e-08
0.6817971.8091711.819077e-08
0.6835451.8090691.805107e-08
0.6852981.8089681.791100e-08
0.6870551.8088671.777057e-08
0.6888161.8087661.762979e-08
0.6905831.8086661.748864e-08
0.6923531.8085671.734713e-08
0.6941281.8084681.720526e-08
0.6959081.8083691.706302e-08
0.6976921.8082711.692042e-08
0.6994811.8081731.677746e-08
0.71.8081451.673600e-08
0.7012751.8080760
0.7030731.8079790
0.7048751.8078830
0.7066831.8077870
0.7084951.8076910
0.7103111.8075960
0.7121321.8075010
0.7139581.8074070
0.7157891.8073130
0.7176241.8072190
0.7194641.8071260
0.7213091.8070330
0.7231581.8069410
0.7250121.8068490
0.7268711.8067570
0.7287351.8066660
0.7306031.8065750
0.7324771.8064850
0.7343551.8063950
0.7362371.8063050
0.7381251.8062160
0.7400181.8061270
0.7419151.8060380
0.7438171.805950
0.7457241.8058620
0.7476361.8057750
0.7495531.8056880
0.7514751.8056010
0.7534021.8055140
0.7553341.8054280
0.757271.8053420
0.7592121.8052570
0.7611591.8051720
0.763111.8050870
0.7650671.8050030
0.7670281.8049190
0.7689951.8048350
0.7709671.8047520
0.7729431.8046690
0.7749251.8045860
0.7769121.8045040
0.7789041.8044210
0.7809011.804340
0.7829031.8042580
0.7849111.8041770
0.7869231.8040960
0.7889411.8040150
0.7909641.8039350
0.7929921.8038550
0.7950251.8037760
0.7970631.8036960
0.7991071.8036170
0.8011561.8035380
0.803211.803460
0.8052691.8033810
0.8073341.8033030
0.8094041.8032260
0.8114791.8031480
0.813561.8030710
0.8156461.8029940
0.8177371.8029180
0.8198341.8028410
0.8219361.8027650
0.8240431.802690
0.8261561.8026140
0.8282741.8025390
0.8303981.8024640
0.8325271.8023890
0.8346621.8023140
0.8368021.802240
0.8389471.8021660
0.8410981.8020920
0.8432551.8020190
0.8454171.8019450
0.8475841.8018720
0.8497581.80180
0.8519361.8017270
0.8541211.8016550
0.8563111.8015820
0.8585061.801510
0.8607071.8014390
0.8629141.8013670
0.8651271.8012960
0.8673451.8012250
0.8695691.8011540
0.8717981.8010840
0.8740331.8010130
0.8762741.8009430
0.8785211.8008730
0.8807741.8008030
0.8830321.8007340
0.8852961.8006640
0.8875661.8005950
0.8898421.8005260
0.8921231.8004570
0.8944111.8003890
0.8967041.800320
0.8990031.8002520
0.9013081.8001840
0.9036191.8001160
0.9059361.8000480
0.9082581.7999810
0.9105871.7999130
0.9129221.7998460
0.9152631.7997790
0.9176091.7997130
0.9199621.7996460
0.9223211.7995790
0.9246861.7995130
0.9270561.7994470
0.9294331.7993810
0.9318161.7993150
0.9342061.799250
0.9366011.7991840
0.9390021.7991190
0.941411.7990530
0.9438241.7989880
0.9462441.7989230
0.948671.7988590
0.9511021.7987940
0.9535411.798730
0.9559851.7986650
0.9584371.7986010
0.9608941.7985370
0.9633581.7984730
0.9658281.7984090
0.9683041.7983460
0.9707871.7982820
0.9732761.7982190
0.9757711.7981550
0.9782731.7980920
0.9807811.7980290
0.9832961.7979660
0.9858171.7979030
0.9883451.7978410
0.9908791.7977780
0.9934191.7977160
0.9959671.7976530
0.998521.7975910
1.001081.7975290
1.003651.7974670
1.006221.7974050
1.00881.7973430
1.011391.7972820
1.013981.797220

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
—