Optical constants

Refractive index of MP-TAF31-15 (HOYA)

MP-TAF31-15: 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
1.80153
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.24552
Permittivity ε2
1.68562e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
45.466
Chromatic dispersion dn/dλ
-0.0904253 µm⁻¹
Group index ng
1.85467
Group velocity dispersion
165.81 fs²/mm
Dispersion parameter D
-904.583 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

# MP-TAF31-15 (HOYA): MP-TAF31-15
hoya_mp_taf31_15 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MP-TAF31-15", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mp_taf31_15.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mp_taf31_15.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=3.164475−0.013801295⁢λ2.0+0.027926276⁢λ−2.0+0.00057403⁢λ−4.0+9.8223773×10-7⁢λ−6.0+1.3284244×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.164475
C2-0.013801295
C32.0
C40.027926276
C5-2.0
C60.00057403
C7-4.0
C89.8223773e-07
C9-6.0
C101.3284244e-06
C11-8.0

Comments and conditions

Preforms for Precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 7.66812e-06 0.0 0.0 0.0 0.0 0.0
nd
1.80154
Vd
45.46
glass code
802455
glass status
standard
density
value: 4840
thermal expansion
value: 6.2e-06, temperature range: 243 343; value: 7.7e-06, temperature range: 293 573
dPgF
-0.0084
resistance
acid: 3.0; stain: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 4.76e-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
MP-TAF31-15 (HOYA), MP-TAF31-15: n and k versus wavelength
λ (µm)nk
0.365011.8464055.124941e-07
0.3659461.8459984.894829e-07
0.3668841.8455954.664126e-07
0.3678251.8451934.432832e-07
0.3687681.8447954.200945e-07
0.3697131.8443993.968463e-07
0.371.844283.898000e-07
0.3706611.8440063.802612e-07
0.3716121.8436163.665541e-07
0.3725651.8432283.528119e-07
0.373521.8428433.390344e-07
0.3744771.8424613.252216e-07
0.3754381.8420813.113734e-07
0.37641.8417042.974897e-07
0.3773651.8413292.835704e-07
0.3783331.8409562.696154e-07
0.3793031.8405872.556246e-07
0.381.8403232.455700e-07
0.3802751.8402192.433712e-07
0.381251.8398542.355867e-07
0.3822281.8394922.277822e-07
0.3832081.8391322.199578e-07
0.384191.8387742.121132e-07
0.3851761.8384192.042486e-07
0.3861631.8380651.963637e-07
0.3871531.8377151.884587e-07
0.3881461.8373661.805334e-07
0.3891411.837021.725878e-07
0.391.8367241.657300e-07
0.3901391.8366761.650496e-07
0.3911391.8363351.601461e-07
0.3921421.8359951.552300e-07
0.3931471.8356581.503014e-07
0.3941551.8353231.453601e-07
0.3951661.834991.404061e-07
0.3961791.8346591.354394e-07
0.3971951.8343311.304600e-07
0.3982131.8340041.254679e-07
0.3992341.833681.204629e-07
0.41.8334381.167100e-07
0.4002581.8333571.161194e-07
0.4012841.8330371.137706e-07
0.4023131.8327191.114157e-07
0.4033451.8324031.090548e-07
0.4043791.8320881.066879e-07
0.4054161.8317761.043149e-07
0.4064551.8314661.019358e-07
0.4074971.8311589.955061e-08
0.4085421.8308519.715930e-08
0.409591.8305479.476186e-08
0.410641.8302459.235828e-08
0.4116931.8299448.994853e-08
0.4127481.8296458.753260e-08
0.4138061.8293498.511048e-08
0.4148671.8290548.268214e-08
0.4159311.828768.024759e-08
0.4169981.8284697.780679e-08
0.4180671.828187.535973e-08
0.4191391.8278927.290639e-08
0.421.8276637.093500e-08
0.4202131.8276067.070495e-08
0.4212911.8273226.954301e-08
0.4223711.827046.837810e-08
0.4234541.8267596.721019e-08
0.424541.826486.603930e-08
0.4256281.8262036.486540e-08
0.4267191.8259286.368849e-08
0.4278131.8256546.250856e-08
0.428911.8253826.132561e-08
0.430011.8251116.013963e-08
0.4311131.8248425.895060e-08
0.4322181.8245755.775853e-08
0.4333261.824315.656340e-08
0.4344371.8240465.536520e-08
0.4355511.8237835.416394e-08
0.4366681.8235235.295959e-08
0.4377871.8232645.175215e-08
0.438911.8230065.054162e-08
0.441.8227584.936600e-08
0.4400351.822754.933732e-08
0.4411631.8224954.841939e-08
0.4422951.8222434.749910e-08
0.4434291.8219914.657646e-08
0.4445661.8217414.565145e-08
0.4457051.8214934.472406e-08
0.4468481.8212464.379430e-08
0.4479941.8214.286216e-08
0.4491431.8207564.192762e-08
0.4502941.8205144.099069e-08
0.4514491.8202724.005136e-08
0.4526061.8200333.910962e-08
0.4537671.8197943.816546e-08
0.454931.8195583.721888e-08
0.4560971.8193223.626988e-08
0.4572661.8190883.531844e-08
0.4584381.8188553.436457e-08
0.4596141.8186243.340824e-08
0.461.8185483.309400e-08
0.4607921.8183943.269366e-08
0.4619741.8181653.209661e-08
0.4631581.8179383.149803e-08
0.4643461.8177123.089792e-08
0.4655361.8174873.029627e-08
0.466731.8172642.969307e-08
0.4679271.8170422.908833e-08
0.4691261.8168212.848204e-08
0.4703291.8166022.787419e-08
0.4715351.8163842.726478e-08
0.4727441.8161672.665381e-08
0.4739561.8159512.604128e-08
0.4751711.8157362.542717e-08
0.476391.8155232.481149e-08
0.4776111.8153112.419424e-08
0.4788361.8151012.357540e-08
0.481.8149022.298700e-08
0.4800631.8148912.293939e-08
0.4812941.8146832.201493e-08
0.4825281.8144752.108810e-08
0.4837651.8142692.015889e-08
0.4850061.8140651.922730e-08
0.4862491.8138611.829332e-08
0.4874961.8136591.735695e-08
0.4887461.8134571.641818e-08
0.4899991.8132571.547699e-08
0.4912551.8130581.453340e-08
0.4925151.812861.358739e-08
0.4937781.8126631.263895e-08
0.4950441.8124681.168808e-08
0.4963131.8122731.073477e-08
0.4975861.8120799.779014e-09
0.4988611.8118878.820810e-09
0.51.8117177.965700e-09
0.5001411.8116967.955619e-09
0.5014231.8115057.863631e-09
0.5027091.8113167.771408e-09
0.5039971.8111287.678948e-09
0.505291.8109417.586251e-09
0.5065851.8107557.493316e-09
0.5078841.810577.400143e-09
0.5091861.8103867.306731e-09
0.5104921.8102037.213080e-09
0.5118011.8100217.119188e-09
0.5131131.809847.025056e-09
0.5144291.809666.930682e-09
0.5157481.8094816.836067e-09
0.517071.8093036.741209e-09
0.5183961.8091266.646107e-09
0.5197251.808956.550762e-09
0.5210571.8087756.455172e-09
0.5223931.8086016.359338e-09
0.5237331.8084286.263257e-09
0.5250761.8082566.166930e-09
0.5264221.8080856.070357e-09
0.5277721.8079145.973535e-09
0.5291251.8077455.876465e-09
0.5304811.8075765.779147e-09
0.5318421.8074095.681579e-09
0.5332051.8072425.583761e-09
0.5345721.8070765.485692e-09
0.5359431.8069125.387371e-09
0.5373171.8067485.288799e-09
0.5386951.8065855.189973e-09
0.5400761.8064225.090895e-09
0.5414611.8062614.991562e-09
0.5428491.8061014.891974e-09
0.5442411.8059414.792132e-09
0.5456361.8057824.692033e-09
0.5470351.8056244.591678e-09
0.5484381.8054674.491065e-09
0.5498441.8053114.390194e-09
0.551.8052944.379000e-09
0.5512541.8051564.388980e-09
0.5526671.8050014.400230e-09
0.5540841.8048474.411510e-09
0.5555051.8046944.422818e-09
0.5569291.8045424.434156e-09
0.5583571.8043914.445522e-09
0.5597891.804244.456918e-09
0.5612241.8040914.468343e-09
0.5626631.8039424.479797e-09
0.5641061.8037944.491280e-09
0.5655521.8036464.502793e-09
0.5670021.80354.514336e-09
0.5684561.8033544.525908e-09
0.5699131.8032094.537509e-09
0.5713741.8030644.549141e-09
0.5728391.8029214.560802e-09
0.5743081.8027784.572493e-09
0.5757811.8026364.584214e-09
0.5772571.8024944.595966e-09
0.5787371.8023544.607747e-09
0.5802211.8022144.619558e-09
0.5817091.8020754.631400e-09
0.58321.8019364.643272e-09
0.5846951.8017984.655175e-09
0.5861951.8016614.667108e-09
0.5876971.8015254.679072e-09
0.5892041.8013894.691066e-09
0.5907151.8012544.703092e-09
0.592231.801124.715148e-09
0.5937481.8009864.727235e-09
0.595271.8008534.739352e-09
0.5967971.8007214.751501e-09
0.5983271.800594.763682e-09
0.5998611.8004594.775893e-09
0.61.8004474.777000e-09
0.6013991.8003284.788138e-09
0.6029411.8001994.800416e-09
0.6044871.800074.812724e-09
0.6060371.7999424.825064e-09
0.6075911.7998144.837436e-09
0.6091481.7996874.849840e-09
0.610711.799564.862275e-09
0.6122761.7994354.874742e-09
0.6138461.799314.887241e-09
0.615421.7991854.899773e-09
0.6169981.7990614.912336e-09
0.618581.7989384.924932e-09
0.6201661.7988154.937560e-09
0.6217561.7986934.950220e-09
0.623351.7985724.962913e-09
0.6249481.7984514.975638e-09
0.6265511.798334.988396e-09
0.6281571.7982115.001186e-09
0.6297681.7980915.014010e-09
0.6313821.7979735.026866e-09
0.6330011.7978555.039755e-09
0.6346241.7977385.052677e-09
0.6362511.7976215.065633e-09
0.6378831.7975045.078621e-09
0.6395181.7973895.091643e-09
0.6411581.7972745.104699e-09
0.6428021.7971595.117788e-09
0.644451.7970455.130910e-09
0.6461021.7969315.144066e-09
0.6477591.7968185.157256e-09
0.649421.7967065.170479e-09
0.651.7966675.175100e-09
0.6510851.7965945.183737e-09
0.6527541.7964835.197028e-09
0.6544281.7963725.210354e-09
0.6561061.7962625.223713e-09
0.6577881.7961525.237107e-09
0.6594741.7960435.250535e-09
0.6611651.7959345.263998e-09
0.6628611.7958265.277495e-09
0.664561.7957185.291027e-09
0.6662641.7956115.304594e-09
0.6679721.7955045.318195e-09
0.6696851.7953975.331831e-09
0.6714021.7952925.345502e-09
0.6731231.7951865.359209e-09
0.6748491.7950825.372950e-09
0.676581.7949775.386727e-09
0.6783141.7948735.400539e-09
0.6800531.794775.414386e-09
0.6817971.7946675.428269e-09
0.6835451.7945655.442187e-09
0.6852981.7944635.456141e-09
0.6870551.7943615.470131e-09
0.6888161.794265.484157e-09
0.6905831.794165.498219e-09
0.6923531.794065.512316e-09
0.6941281.793965.526450e-09
0.6959081.7938615.540620e-09
0.6976921.7937625.554827e-09
0.6994811.7936645.569070e-09
0.71.7936355.573200e-09
0.7012751.7935666.193795e-09
0.7030731.7934687.069184e-09
0.7048751.7933717.946818e-09
0.7066831.7932748.826702e-09
0.7084951.7931789.708842e-09
0.7103111.7930821.059324e-08
0.7121321.7929871.147991e-08
0.7139581.7928921.236886e-08
0.7157891.7927981.326008e-08
0.7176241.7927031.415358e-08
0.7194641.792611.504938e-08
0.7213091.7925161.594748e-08
0.7231581.7924231.684787e-08
0.7250121.7923311.775058e-08
0.7268711.7922391.865560e-08
0.7287351.7921471.956294e-08
0.7306031.7920562.047261e-08
0.7324771.7919652.138461e-08
0.7343551.7918742.229895e-08
0.7362371.7917842.321563e-08
0.7381251.7916942.413466e-08
0.7400181.7916052.505605e-08
0.7419151.7915162.597980e-08
0.7438171.7914272.690592e-08
0.7457241.7913382.783442e-08
0.7476361.791252.876529e-08
0.7495531.7911632.969855e-08
0.751.7911432.991600e-08
0.7514751.7910762.997486e-08
0.7534021.7909893.005174e-08
0.7553341.7909023.012881e-08
0.757271.7908163.020608e-08
0.7592121.790733.028356e-08
0.7611591.7906453.036122e-08
0.763111.7905593.043909e-08
0.7650671.7904753.051716e-08
0.7670281.790393.059543e-08
0.7689951.7903063.067390e-08
0.7709671.7902223.075257e-08
0.7729431.7901393.083144e-08
0.7749251.7900553.091051e-08
0.7769121.7899723.098979e-08
0.7789041.789893.106927e-08
0.781.7898453.111300e-08
0.7809011.7898083.086083e-08
0.7829031.7897263.030051e-08
0.7849111.7896442.973876e-08
0.7869231.7895632.917557e-08
0.7889411.7894822.861093e-08
0.7909641.7894012.804484e-08
0.7929921.7893212.747731e-08
0.7950251.7892412.690831e-08
0.7970631.7891612.633786e-08
0.7991071.7890822.576595e-08
0.81.7890472.551600e-08
0.8011561.7890032.504242e-08
0.803211.7889242.420070e-08
0.8052691.7888452.335683e-08
0.8073341.7887672.251079e-08
0.8094041.7886892.166258e-08
0.8114791.7886112.081220e-08
0.813561.7885341.995964e-08
0.8156461.7884571.910489e-08
0.8177371.788381.824795e-08
0.8198341.7883031.738881e-08
0.8219361.7882271.652747e-08
0.8240431.7881511.566392e-08
0.8261561.7880751.479816e-08
0.8282741.7879991.393017e-08
0.831.7879381.322300e-08
0.8303981.7879241.336425e-08
0.8325271.7878491.412008e-08
0.8346621.7877741.487785e-08
0.8368021.78771.563757e-08
0.8389471.7876261.639923e-08
0.8410981.7875521.716285e-08
0.8432551.7874781.792842e-08
0.8454171.7874041.869596e-08
0.8475841.7873311.946547e-08
0.8497581.7872582.023695e-08
0.851.787252.032300e-08
0.8519361.7871852.036928e-08
0.8541211.7871132.042148e-08
0.8563111.7870412.047382e-08
0.8585061.7869692.052630e-08
0.8607071.7868972.057891e-08
0.8629141.7868252.063165e-08
0.8651271.7867542.068453e-08
0.8673451.7866832.073754e-08
0.8695691.7866122.079069e-08
0.8717981.7865412.084398e-08
0.8740331.7864712.089740e-08
0.8762741.78642.095096e-08
0.8785211.786332.100466e-08
0.8807741.7862612.105849e-08
0.8830321.7861912.111246e-08
0.8852961.7861212.116658e-08
0.8875661.7860522.122083e-08
0.8898421.7859832.127521e-08
0.8921231.7859152.132974e-08
0.8944111.7858462.138441e-08
0.8967041.7857782.143922e-08
0.8990031.7857092.149417e-08
0.91.785682.151800e-08
0.9013081.7856412.135104e-08
0.9036191.7855742.105602e-08
0.9059361.7855062.076025e-08
0.9082581.7854392.046373e-08
0.9105871.7853712.016644e-08
0.9129221.7853041.986839e-08
0.9152631.7852371.956958e-08
0.9176091.7851711.927000e-08
0.9199621.7851041.896965e-08
0.9223211.7850381.866853e-08
0.9246861.7849721.836664e-08
0.9270561.7849061.806397e-08
0.9294331.784841.776053e-08
0.9318161.7847741.745632e-08
0.9342061.7847091.715132e-08
0.9366011.7846441.684554e-08
0.9390021.7845781.653897e-08
0.941411.7845141.623162e-08
0.9438241.7844491.592348e-08
0.9462441.7843841.561455e-08
0.948671.784321.530483e-08
0.951.7842841.513500e-08
0.9511021.7842551.515254e-08
0.9535411.7841911.519137e-08
0.9559851.7841271.523029e-08
0.9584371.7840631.526931e-08
0.9608941.7839991.530843e-08
0.9633581.7839361.534765e-08
0.9658281.7838721.538698e-08
0.9683041.7838091.542640e-08
0.9707871.7837461.546592e-08
0.9732761.7836831.550555e-08
0.9757711.783621.554528e-08
0.9782731.7835571.558511e-08
0.9807811.7834951.562504e-08
0.9832961.7834321.566507e-08
0.9858171.783371.570521e-08
0.9883451.7833081.574545e-08
0.9908791.7832461.578579e-08
0.9934191.7831841.582624e-08
0.9959671.7831221.586679e-08
0.998521.783061.590744e-08
11.7830241.593100e-08
1.001081.7829991.594822e-08
1.003651.7829371.598913e-08
1.006221.7828761.603015e-08
1.00881.7828141.607128e-08
1.011391.7827531.611251e-08
1.013981.7826921.615384e-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
—