Optical constants

Refractive index of MP-TAC60-90 (HOYA)

MP-TAC60-90: 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
1.75591
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.08322
Permittivity ε2
1.64293e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
51.175
Chromatic dispersion dn/dλ
-0.0760942 µm⁻¹
Group index ng
1.80062
Group velocity dispersion
135.972 fs²/mm
Dispersion parameter D
-741.801 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-TAC60-90 (HOYA): MP-TAC60-90
hoya_mp_tac60_90 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MP-TAC60-90", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mp_tac60_90.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mp_tac60_90.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=3.0209214−0.0157801⁢λ2.0+0.02114253⁢λ−2.0+0.00095556554⁢λ−4.0−7.4489819×10-5⁢λ−6.0+4.360632×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.0209214
C2-0.0157801
C32.0
C40.02114253
C5-2.0
C60.00095556554
C7-4.0
C8-7.4489819e-05
C9-6.0
C104.360632e-06
C11-8.0

Comments and conditions

Preforms for Precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 5.37335e-06 0.0 0.0 0.0 0.0 0.0
nd
1.75591
Vd
51.18
glass code
756512
glass status
standard
density
value: 4410
thermal expansion
value: 6.2e-06, temperature range: 243 343; value: 7.7e-06, temperature range: 293 573
dPgF
-0.0079
resistance
acid: 4.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 3.18e-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-TAC60-90 (HOYA), MP-TAC60-90: n and k versus wavelength
λ (µm)nk
0.365011.7926753.797435e-07
0.3659461.7923483.618168e-07
0.3668841.7920243.438442e-07
0.3678251.7917023.258255e-07
0.3687681.7913823.077606e-07
0.3697131.7910642.896493e-07
0.371.7909682.841600e-07
0.3706611.7907482.771040e-07
0.3716121.7904352.669645e-07
0.3725651.7901232.567991e-07
0.373521.7898132.466076e-07
0.3744771.7895062.363900e-07
0.3754381.78922.261462e-07
0.37641.7888972.158761e-07
0.3773651.7885952.055797e-07
0.3783331.7882951.952569e-07
0.3793031.7879981.849076e-07
0.381.7877851.774700e-07
0.3802751.7877021.758049e-07
0.381251.7874081.699100e-07
0.3822281.7871161.640000e-07
0.3832081.7868261.580748e-07
0.384191.7865371.521344e-07
0.3851761.7862511.461787e-07
0.3861631.7859661.402078e-07
0.3871531.7856831.342216e-07
0.3881461.7854021.282201e-07
0.3891411.7851231.222032e-07
0.391.7848831.170100e-07
0.3901391.7848451.165045e-07
0.3911391.7845691.128613e-07
0.3921421.7842951.092087e-07
0.3931471.7840221.055468e-07
0.3941551.7837511.018755e-07
0.3951661.7834829.819479e-08
0.3961791.7832159.450464e-08
0.3971951.7829499.080503e-08
0.3982131.7826858.709593e-08
0.3992341.7824228.337732e-08
0.41.7822278.058900e-08
0.4002581.7821618.011349e-08
0.4012841.7819027.822237e-08
0.4023131.7816447.632640e-08
0.4033451.7813887.442557e-08
0.4043791.7811337.251987e-08
0.4054161.780887.060928e-08
0.4064551.7806286.869379e-08
0.4074971.7803786.677339e-08
0.4085421.7801296.484807e-08
0.409591.7798826.291781e-08
0.410641.7796376.098260e-08
0.4116931.7793925.904243e-08
0.4127481.779155.709729e-08
0.4138061.7789085.514716e-08
0.4148671.7786685.319202e-08
0.4159311.778435.123188e-08
0.4169981.7781934.926671e-08
0.4180671.7779574.729650e-08
0.4191391.7777234.532124e-08
0.421.7775364.373400e-08
0.4202131.777494.356751e-08
0.4212911.7772594.272659e-08
0.4223711.7770294.188351e-08
0.4234541.77684.103827e-08
0.424541.7765724.019086e-08
0.4256281.7763463.934128e-08
0.4267191.7761213.848953e-08
0.4278131.7758983.763559e-08
0.428911.7756763.677946e-08
0.430011.7754553.592113e-08
0.4311131.7752353.506061e-08
0.4322181.7750173.419787e-08
0.4333261.77483.333293e-08
0.4344371.7745843.246577e-08
0.4355511.7743693.159638e-08
0.4366681.7741563.072477e-08
0.4377871.7739442.985092e-08
0.438911.7737332.897483e-08
0.441.7735292.812400e-08
0.4400351.7735232.810677e-08
0.4411631.7733142.755535e-08
0.4422951.7731072.700251e-08
0.4434291.7729012.644825e-08
0.4445661.7726962.589257e-08
0.4457051.7724922.533547e-08
0.4468481.7722892.477694e-08
0.4479941.7720882.421698e-08
0.4491431.7718882.365558e-08
0.4502941.7716882.309274e-08
0.4514491.771492.252846e-08
0.4526061.7712932.196273e-08
0.4537671.7710972.139555e-08
0.454931.7709022.082692e-08
0.4560971.7707092.025683e-08
0.4572661.7705161.968528e-08
0.4584381.7703251.911226e-08
0.4596141.7701341.853777e-08
0.461.7700721.834900e-08
0.4607921.7699451.792510e-08
0.4619741.7697561.729291e-08
0.4631581.7695691.665910e-08
0.4643461.7693831.602366e-08
0.4655361.7691981.538659e-08
0.466731.7690131.474789e-08
0.4679271.768831.410755e-08
0.4691261.7686481.346558e-08
0.4703291.7684671.282195e-08
0.4715351.7682871.217667e-08
0.4727441.7681081.152974e-08
0.4739561.7679291.088116e-08
0.4751711.7677521.023090e-08
0.476391.7675769.578985e-09
0.4776111.7674018.925395e-09
0.4788361.7672268.270128e-09
0.481.7670627.647100e-09
0.4800631.7670537.635481e-09
0.4812941.7668817.409850e-09
0.4825281.7667097.183642e-09
0.4837651.7665396.956853e-09
0.4850061.7663696.729483e-09
0.4862491.76626.501530e-09
0.4874961.7660336.272992e-09
0.4887461.7658666.043868e-09
0.4899991.76575.814157e-09
0.4912551.7655355.583857e-09
0.4925151.7653715.352967e-09
0.4937781.7652085.121484e-09
0.4950441.7650454.889408e-09
0.4963131.7648844.656737e-09
0.4975861.7647234.423470e-09
0.4988611.7645634.189604e-09
0.51.7644223.980900e-09
0.5001411.7644043.982019e-09
0.5014231.7642463.992229e-09
0.5027091.7640894.002465e-09
0.5039971.7639334.012728e-09
0.505291.7637774.023016e-09
0.5065851.7636234.033332e-09
0.5078841.7634694.043673e-09
0.5091861.7633164.054041e-09
0.5104921.7631644.064436e-09
0.5118011.7630124.074857e-09
0.5131131.7628614.085305e-09
0.5144291.7627124.095780e-09
0.5157481.7625634.106282e-09
0.517071.7624144.116810e-09
0.5183961.7622674.127366e-09
0.5197251.762124.137949e-09
0.5210571.7619744.148559e-09
0.5223931.7618294.159196e-09
0.5237331.7616854.169860e-09
0.5250761.7615414.180552e-09
0.5264221.7613984.191271e-09
0.5277721.7612564.202017e-09
0.5291251.7611154.212791e-09
0.5304811.7609744.223593e-09
0.5318421.7608344.234422e-09
0.5332051.7606954.245280e-09
0.5345721.7605574.256165e-09
0.5359431.7604194.267077e-09
0.5373171.7602824.278018e-09
0.5386951.7601464.288987e-09
0.5400761.760014.299984e-09
0.5414611.7598754.311010e-09
0.5428491.7597414.322063e-09
0.5442411.7596084.333145e-09
0.5456361.7594754.344255e-09
0.5470351.7593434.355394e-09
0.5484381.7592114.366562e-09
0.5498441.759084.377758e-09
0.551.7590664.379000e-09
0.5512541.758954.388980e-09
0.5526671.7588214.400230e-09
0.5540841.7586924.411510e-09
0.5555051.7585644.422818e-09
0.5569291.7584364.434156e-09
0.5583571.758314.445522e-09
0.5597891.7581834.456918e-09
0.5612241.7580584.468343e-09
0.5626631.7579334.479797e-09
0.5641061.7578094.491280e-09
0.5655521.7576854.502793e-09
0.5670021.7575624.514336e-09
0.5684561.757444.525908e-09
0.5699131.7573184.537509e-09
0.5713741.7571974.549141e-09
0.5728391.7570764.560802e-09
0.5743081.7569564.572493e-09
0.5757811.7568374.584214e-09
0.5772571.7567184.595966e-09
0.5787371.75664.607747e-09
0.5802211.7564824.619558e-09
0.5817091.7563654.631400e-09
0.58321.7562484.643272e-09
0.5846951.7561334.655175e-09
0.5861951.7560174.667108e-09
0.5876971.7559034.679072e-09
0.5892041.7557884.691066e-09
0.5907151.7556754.703092e-09
0.592231.7555624.715148e-09
0.5937481.7554494.727235e-09
0.595271.7553374.739352e-09
0.5967971.7552264.751501e-09
0.5983271.7551154.763682e-09
0.5998611.7550054.775893e-09
0.61.7549954.777000e-09
0.6013991.7548954.788138e-09
0.6029411.7547854.800416e-09
0.6044871.7546774.812724e-09
0.6060371.7545694.825064e-09
0.6075911.7544614.837436e-09
0.6091481.7543544.849840e-09
0.610711.7542474.862275e-09
0.6122761.7541414.874742e-09
0.6138461.7540354.887241e-09
0.615421.753934.899773e-09
0.6169981.7538254.912336e-09
0.618581.7537214.924932e-09
0.6201661.7536174.937560e-09
0.6217561.7535144.950220e-09
0.623351.7534124.962913e-09
0.6249481.7533094.975638e-09
0.6265511.7532084.988396e-09
0.6281571.7531065.001186e-09
0.6297681.7530065.014010e-09
0.6313821.7529055.026866e-09
0.6330011.7528055.039755e-09
0.6346241.7527065.052677e-09
0.6362511.7526075.065633e-09
0.6378831.7525095.078621e-09
0.6395181.7524115.091643e-09
0.6411581.7523135.104699e-09
0.6428021.7522165.117788e-09
0.644451.7521195.130910e-09
0.6461021.7520235.144066e-09
0.6477591.7519275.157256e-09
0.649421.7518325.170479e-09
0.651.7517995.175100e-09
0.6510851.7517375.183737e-09
0.6527541.7516425.197028e-09
0.6544281.7515485.210354e-09
0.6561061.7514545.223713e-09
0.6577881.7513615.237107e-09
0.6594741.7512685.250535e-09
0.6611651.7511765.263998e-09
0.6628611.7510845.277495e-09
0.664561.7509925.291027e-09
0.6662641.7509015.304594e-09
0.6679721.750815.318195e-09
0.6696851.750725.331831e-09
0.6714021.750635.345502e-09
0.6731231.750545.359209e-09
0.6748491.7504515.372950e-09
0.676581.7503625.386727e-09
0.6783141.7502745.400539e-09
0.6800531.7501865.414386e-09
0.6817971.7500985.428269e-09
0.6835451.7500115.442187e-09
0.6852981.7499245.456141e-09
0.6870551.7498375.470131e-09
0.6888161.7497515.484157e-09
0.6905831.7496655.498219e-09
0.6923531.749585.512316e-09
0.6941281.7494945.526450e-09
0.6959081.749415.540620e-09
0.6976921.7493255.554827e-09
0.6994811.7492415.569070e-09
0.71.7492175.573200e-09
0.7012751.7491575.735745e-09
0.7030731.7490745.965024e-09
0.7048751.7489916.194892e-09
0.7066831.7489086.425348e-09
0.7084951.7488266.656396e-09
0.7103111.7487446.888036e-09
0.7121321.7486627.120270e-09
0.7139581.7485817.353100e-09
0.7157891.74857.586526e-09
0.7176241.7484197.820551e-09
0.7194641.7483398.055176e-09
0.7213091.7482598.290402e-09
0.7231581.7481798.526232e-09
0.7250121.7480998.762666e-09
0.7268711.748028.999707e-09
0.7287351.7479419.237355e-09
0.7306031.7478639.475612e-09
0.7324771.7477859.714481e-09
0.7343551.7477079.953962e-09
0.7362371.7476291.019406e-08
0.7381251.7475521.043477e-08
0.7400181.7474751.067610e-08
0.7419151.7473981.091804e-08
0.7438171.7473221.116061e-08
0.7457241.7472461.140380e-08
0.7476361.747171.164761e-08
0.7495531.7470941.189205e-08
0.751.7470771.194900e-08
0.7514751.7470191.227846e-08
0.7534021.7469441.270877e-08
0.7553341.7468691.314018e-08
0.757271.7467951.357270e-08
0.7592121.746721.400633e-08
0.7611591.7466471.444107e-08
0.763111.7465731.487692e-08
0.7650671.74651.531389e-08
0.7670281.7464261.575199e-08
0.7689951.7463541.619120e-08
0.7709671.7462811.663154e-08
0.7729431.7462091.707301e-08
0.7749251.7461361.751561e-08
0.7769121.7460651.795935e-08
0.7789041.7459931.840423e-08
0.781.7459541.864900e-08
0.7809011.7459221.809575e-08
0.7829031.745851.686644e-08
0.7849111.745781.563397e-08
0.7869231.7457091.439835e-08
0.7889411.7456391.315955e-08
0.7909641.7455681.191758e-08
0.7929921.7454981.067243e-08
0.7950251.7454299.424082e-09
0.7970631.7453598.172534e-09
0.7991071.745296.917778e-09
0.81.745266.369400e-09
0.8011561.7452217.143879e-09
0.803211.7451528.520397e-09
0.8052691.7450849.900445e-09
0.8073341.7450151.128403e-08
0.8094041.7449471.267116e-08
0.8114791.7448791.406185e-08
0.813561.7448111.545611e-08
0.8156461.7447441.685394e-08
0.8177371.7446771.825536e-08
0.8198341.744611.966036e-08
0.8219361.7445432.106897e-08
0.8240431.7444762.248120e-08
0.8261561.744412.389704e-08
0.8282741.7443432.531651e-08
0.831.7442892.647300e-08
0.8303981.7442772.689160e-08
0.8325271.7442112.913164e-08
0.8346621.7441463.137743e-08
0.8368021.744083.362897e-08
0.8389471.7440153.588628e-08
0.8410981.743953.814938e-08
0.8432551.7438854.041829e-08
0.8454171.743824.269301e-08
0.8475841.7437554.497356e-08
0.8497581.7436914.725997e-08
0.851.7436844.751500e-08
0.8519361.7436264.706519e-08
0.8541211.7435624.655777e-08
0.8563111.7434984.604904e-08
0.8585061.7434354.553902e-08
0.8607071.7433714.502768e-08
0.8629141.7433084.451504e-08
0.8651271.7432454.400108e-08
0.8673451.7431814.348580e-08
0.8695691.7431194.296920e-08
0.8717981.7430564.245128e-08
0.8740331.7429934.193202e-08
0.8762741.7429314.141144e-08
0.8785211.7428684.088952e-08
0.8807741.7428064.036627e-08
0.8830321.7427443.984167e-08
0.8852961.7426833.931573e-08
0.8875661.7426213.878844e-08
0.8898421.7425593.825980e-08
0.8921231.7424983.772980e-08
0.8944111.7424373.719844e-08
0.8967041.7423753.666572e-08
0.8990031.7423143.613164e-08
0.91.7422883.590000e-08
0.9013081.7422543.575352e-08
0.9036191.7421933.549469e-08
0.9059361.7421323.523521e-08
0.9082581.7420723.497505e-08
0.9105871.7420113.471424e-08
0.9129221.7419513.445275e-08
0.9152631.7418913.419059e-08
0.9176091.7418313.392776e-08
0.9199621.7417713.366425e-08
0.9223211.7417123.340007e-08
0.9246861.7416523.313522e-08
0.9270561.7415923.286968e-08
0.9294331.7415333.260346e-08
0.9318161.7414743.233656e-08
0.9342061.7414153.206898e-08
0.9366011.7413563.180071e-08
0.9390021.7412973.153175e-08
0.941411.7412383.126210e-08
0.9438241.7411793.099176e-08
0.9462441.741123.072073e-08
0.948671.7410623.044900e-08
0.951.741033.030000e-08
0.9511021.7410033.033515e-08
0.9535411.7409453.041294e-08
0.9559851.7408873.049094e-08
0.9584371.7408293.056913e-08
0.9608941.7407713.064752e-08
0.9633581.7407133.072611e-08
0.9658281.7406553.080490e-08
0.9683041.7405973.088390e-08
0.9707871.7405393.096310e-08
0.9732761.7404813.104250e-08
0.9757711.7404243.112210e-08
0.9782731.7403663.120191e-08
0.9807811.7403093.128192e-08
0.9832961.7402523.136214e-08
0.9858171.7401943.144257e-08
0.9883451.7401373.152320e-08
0.9908791.740083.160404e-08
0.9934191.7400233.168508e-08
0.9959671.7399663.176633e-08
0.998521.7399093.184779e-08
11.7398763.189500e-08
1.001081.7398523.192946e-08
1.003651.7397953.201134e-08
1.006221.7397393.209343e-08
1.00881.7396823.217573e-08
1.011391.7396253.225824e-08
1.013981.7395693.234096e-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
—