Optical constants

Refractive index of M-TAFD307 (HOYA)

M-TAFD307: 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
1.88202
Extinction coefficient k
1.15387e-08
Permittivity ε1
3.54199
Permittivity ε2
4.34321e-08
Absorption coefficient α
0.00246766 cm⁻¹
Penetration depth δ = λ/(2πk)
8.10484e+09 nm
Abbe number Vd
37.221
Chromatic dispersion dn/dλ
-0.120486 µm⁻¹
Group index ng
1.95282
Group velocity dispersion
231.989 fs²/mm
Dispersion parameter D
-1265.62 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

# M-TAFD307 (HOYA): M-TAFD307
hoya_m_tafd307 = ls.fetch_refractiveindex("specs", "HOYA-optical", "M-TAFD307", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_m_tafd307.range_nm)  # (365.01, 1013.98) nm
eps = hoya_m_tafd307.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=3.4286062−0.013845333⁢λ2.0+0.037363009⁢λ−2.0+0.0011894554⁢λ−4.0−1.5979979×10-5⁢λ−6.0+5.1827398×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.4286062
C2-0.013845333
C32.0
C40.037363009
C5-2.0
C60.0011894554
C7-4.0
C8-1.5979979e-05
C9-6.0
C105.1827398e-06
C11-8.0

Comments and conditions

Glass for molded optics lens

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 7.80622e-06 0.0 0.0 0.0 0.0 0.0
nd
1.88202
Vd
37.22
glass code
882372
glass status
standard
density
value: 5490
thermal expansion
value: 6.7e-06, temperature range: 243 343; value: 7.3e-06, temperature range: 293 573
dPgF
-0.0044
resistance
acid: 3.0; stain: 2.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 5.25e-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
M-TAFD307 (HOYA), M-TAFD307: n and k versus wavelength
λ (µm)nk
0.365011.9452242.932216e-06
0.3659461.9446182.746576e-06
0.3668841.9440182.560461e-06
0.3678251.9434222.373868e-06
0.3687681.9428312.186796e-06
0.3697131.9422441.999245e-06
0.371.9420671.942400e-06
0.3706611.9416621.884412e-06
0.3716121.9410851.801084e-06
0.3725651.9405121.717543e-06
0.373521.9399431.633787e-06
0.3744771.9393791.549816e-06
0.3754381.9388191.465631e-06
0.37641.9382641.381229e-06
0.3773651.9377131.296611e-06
0.3783331.9371661.211776e-06
0.3793031.9366231.126724e-06
0.381.9362361.065600e-06
0.3802751.9360841.053948e-06
0.381251.935551.012695e-06
0.3822281.9350199.713364e-07
0.3832081.9344939.298718e-07
0.384191.933978.883008e-07
0.3851761.9334528.466233e-07
0.3861631.9329378.048389e-07
0.3871531.9324267.629473e-07
0.3881461.9319197.209484e-07
0.3891411.9314166.788417e-07
0.391.9309866.425000e-07
0.3901391.9309166.394815e-07
0.3911391.9304216.177290e-07
0.3921421.9299285.959206e-07
0.3931471.929445.740563e-07
0.3941551.9289555.521360e-07
0.3951661.9284735.301594e-07
0.3961791.9279955.081265e-07
0.3971951.9275214.860371e-07
0.3982131.927054.638911e-07
0.3992341.9265824.416883e-07
0.41.9262354.250400e-07
0.4002581.9261184.225005e-07
0.4012841.9256574.124006e-07
0.4023131.92524.022749e-07
0.4033451.9247453.921232e-07
0.4043791.9242943.819455e-07
0.4054161.9238463.717417e-07
0.4064551.9234023.615118e-07
0.4074971.922963.512556e-07
0.4085421.9225223.409731e-07
0.409591.9220863.306642e-07
0.410641.9216543.203289e-07
0.4116931.9212253.099671e-07
0.4127481.9207992.995788e-07
0.4138061.9203762.891638e-07
0.4148671.9199552.787221e-07
0.4159311.9195382.682536e-07
0.4169981.9191242.577583e-07
0.4180671.9187122.472361e-07
0.4191391.9183032.366869e-07
0.421.9179782.282100e-07
0.4202131.9178982.273784e-07
0.4212911.9174942.231781e-07
0.4223711.9170942.189670e-07
0.4234541.9166972.147452e-07
0.424541.9163022.105125e-07
0.4256281.915912.062689e-07
0.4267191.915522.020145e-07
0.4278131.9151331.977492e-07
0.428911.9147491.934729e-07
0.430011.9143671.891857e-07
0.4311131.9139881.848875e-07
0.4322181.9136121.805782e-07
0.4333261.9132381.762579e-07
0.4344371.9128661.719266e-07
0.4355511.9124971.675841e-07
0.4366681.9121311.632305e-07
0.4377871.9117671.588657e-07
0.438911.9114051.544898e-07
0.441.9110571.502400e-07
0.4400351.9110461.501651e-07
0.4411631.9106891.477670e-07
0.4422951.9103341.453628e-07
0.4434291.9099821.429524e-07
0.4445661.9096321.405359e-07
0.4457051.9092851.381131e-07
0.4468481.9089391.356841e-07
0.4479941.9085961.332490e-07
0.4491431.9082551.308075e-07
0.4502941.9079171.283598e-07
0.4514491.907581.259058e-07
0.4526061.9072461.234456e-07
0.4537671.9069141.209790e-07
0.454931.9065841.185061e-07
0.4560971.9062571.160269e-07
0.4572661.9059311.135413e-07
0.4584381.9056071.110493e-07
0.4596141.9052861.085509e-07
0.461.9051811.077300e-07
0.4607921.9049661.065195e-07
0.4619741.9046491.047142e-07
0.4631581.9043341.029042e-07
0.4643461.904021.010896e-07
0.4655361.9037099.927037e-08
0.466731.90349.744646e-08
0.4679271.9030929.561787e-08
0.4691261.9027879.378459e-08
0.4703291.9024839.194662e-08
0.4715351.9021829.010393e-08
0.4727441.9018828.825652e-08
0.4739561.9015848.640437e-08
0.4751711.9012888.454747e-08
0.476391.9009948.268581e-08
0.4776111.9007028.081938e-08
0.4788361.9004117.894816e-08
0.481.9001377.716900e-08
0.4800631.9001227.708944e-08
0.4812941.8998367.554445e-08
0.4825281.899557.399551e-08
0.4837651.8992677.244259e-08
0.4850061.8989867.088569e-08
0.4862491.8987066.932480e-08
0.4874961.8984286.775991e-08
0.4887461.8981516.619100e-08
0.4899991.8978766.461808e-08
0.4912551.8976036.304112e-08
0.4925151.8973326.146011e-08
0.4937781.8970625.987506e-08
0.4950441.8967945.828594e-08
0.4963131.8965285.669274e-08
0.4975861.8962635.509546e-08
0.4988611.8965.349408e-08
0.51.8957675.206500e-08
0.5001411.8957385.196797e-08
0.5014231.8954785.108256e-08
0.5027091.895225.019488e-08
0.5039971.8949634.930493e-08
0.505291.8947084.841269e-08
0.5065851.8944544.751817e-08
0.5078841.8942014.662135e-08
0.5091861.8939514.572224e-08
0.5104921.8937014.482082e-08
0.5118011.8934544.391709e-08
0.5131131.8932074.301104e-08
0.5144291.8929634.210266e-08
0.5157481.8927194.119196e-08
0.517071.8924774.027893e-08
0.5183961.8922373.936355e-08
0.5197251.8919983.844582e-08
0.5210571.891763.752575e-08
0.5223931.8915243.660331e-08
0.5237331.8912893.567851e-08
0.5250761.8910553.475133e-08
0.5264221.8908233.382178e-08
0.5277721.8905923.288985e-08
0.5291251.8903633.195553e-08
0.5304811.8901353.101881e-08
0.5318421.8899083.007969e-08
0.5332051.8896832.913816e-08
0.5345721.8894592.819422e-08
0.5359431.8892362.724786e-08
0.5373171.8890142.629907e-08
0.5386951.8887942.534785e-08
0.5400761.8885752.439419e-08
0.5414611.8883572.343808e-08
0.5428491.8881412.247952e-08
0.5442411.8879262.151851e-08
0.5456361.8877122.055503e-08
0.5470351.8874991.958908e-08
0.5484381.8872871.862066e-08
0.5498441.8870771.764975e-08
0.551.8870541.754200e-08
0.5512541.8868681.734183e-08
0.5526671.886661.711616e-08
0.5540841.8864531.688992e-08
0.5555051.8862481.666309e-08
0.5569291.8860431.643569e-08
0.5583571.885841.620770e-08
0.5597891.8856381.597912e-08
0.5612241.8854371.574996e-08
0.5626631.8852371.552022e-08
0.5641061.8850391.528988e-08
0.5655521.8848411.505895e-08
0.5670021.8846451.482743e-08
0.5684561.8844491.459532e-08
0.5699131.8842551.436261e-08
0.5713741.8840621.412931e-08
0.5728391.883871.389541e-08
0.5743081.8836791.366091e-08
0.5757811.8834891.342580e-08
0.5772571.88331.319010e-08
0.5787371.8831121.295379e-08
0.5802211.8829251.271687e-08
0.5817091.8827391.247934e-08
0.58321.8825551.224121e-08
0.5846951.8823711.200247e-08
0.5861951.8821881.176311e-08
0.5876971.8820061.152314e-08
0.5892041.8818261.128256e-08
0.5907151.8816461.104136e-08
0.592231.8814671.079954e-08
0.5937481.8812891.055710e-08
0.595271.8811131.031404e-08
0.5967971.8809371.007035e-08
0.5983271.8807629.826041e-09
0.5998611.8805889.581105e-09
0.61.8805729.558900e-09
0.6013991.8804159.436246e-09
0.6029411.8802439.301052e-09
0.6044871.8800729.165512e-09
0.6060371.8799029.029625e-09
0.6075911.8797328.893389e-09
0.6091481.8795648.756803e-09
0.610711.8793968.619868e-09
0.6122761.879238.482581e-09
0.6138461.8790648.344942e-09
0.615421.8788998.206951e-09
0.6169981.8787358.068605e-09
0.618581.8785727.929905e-09
0.6201661.878417.790849e-09
0.6217561.8782497.651437e-09
0.623351.8780887.511667e-09
0.6249481.8779297.371539e-09
0.6265511.877777.231052e-09
0.6281571.8776127.090204e-09
0.6297681.8774556.948996e-09
0.6313821.8772996.807425e-09
0.6330011.8771436.665491e-09
0.6346241.8769886.523194e-09
0.6362511.8768356.380531e-09
0.6378831.8766826.237503e-09
0.6395181.8765296.094108e-09
0.6411581.8763785.950345e-09
0.6428021.8762275.806214e-09
0.644451.8760775.661713e-09
0.6461021.8759285.516842e-09
0.6477591.875785.371599e-09
0.649421.8756325.225984e-09
0.651.8755815.175100e-09
0.6510851.8754855.183737e-09
0.6527541.8753395.197028e-09
0.6544281.8751945.210354e-09
0.6561061.8750495.223713e-09
0.6577881.8749065.237107e-09
0.6594741.8747635.250535e-09
0.6611651.874625.263998e-09
0.6628611.8744785.277495e-09
0.664561.8743385.291027e-09
0.6662641.8741975.304594e-09
0.6679721.8740585.318195e-09
0.6696851.8739195.331831e-09
0.6714021.8737815.345502e-09
0.6731231.8736435.359209e-09
0.6748491.8735075.372950e-09
0.676581.8733715.386727e-09
0.6783141.8732355.400539e-09
0.6800531.8731015.414386e-09
0.6817971.8729675.428269e-09
0.6835451.8728335.442187e-09
0.6852981.87275.456141e-09
0.6870551.8725685.470131e-09
0.6888161.8724375.484157e-09
0.6905831.8723065.498219e-09
0.6923531.8721765.512316e-09
0.6941281.8720475.526450e-09
0.6959081.8719185.540620e-09
0.6976921.871795.554827e-09
0.6994811.8716625.569070e-09
0.71.8716255.573200e-09
0.7012751.8715355.583349e-09
0.7030731.8714095.597665e-09
0.7048751.8712835.612018e-09
0.7066831.8711585.626407e-09
0.7084951.8710335.640834e-09
0.7103111.8709095.655297e-09
0.7121321.8707865.669798e-09
0.7139581.8706635.684336e-09
0.7157891.8705415.698911e-09
0.7176241.870425.713523e-09
0.7194641.8702995.728173e-09
0.7213091.8701785.742860e-09
0.7231581.8700585.757585e-09
0.7250121.8699395.772348e-09
0.7268711.869825.787148e-09
0.7287351.8697025.801987e-09
0.7306031.8695845.816864e-09
0.7324771.8694675.831778e-09
0.7343551.8693515.846731e-09
0.7362371.8692355.861723e-09
0.7381251.8691195.876752e-09
0.7400181.8690055.891821e-09
0.7419151.868895.906928e-09
0.7438171.8687765.922073e-09
0.7457241.8686635.937258e-09
0.7476361.868555.952481e-09
0.7495531.8684385.967744e-09
0.751.8684125.971300e-09
0.7514751.8683265.983043e-09
0.7534021.8682155.998380e-09
0.7553341.8681046.013756e-09
0.757271.8679946.029172e-09
0.7592121.8678846.044627e-09
0.7611591.8677756.060122e-09
0.763111.8676666.075656e-09
0.7650671.8675586.091231e-09
0.7670281.867456.106845e-09
0.7689951.8673426.122500e-09
0.7709671.8672356.138194e-09
0.7729431.8671296.153929e-09
0.7749251.8670236.169704e-09
0.7769121.8669186.185520e-09
0.7789041.8668136.201376e-09
0.781.8667556.210100e-09
0.7809011.8667086.504525e-09
0.7829031.8666047.158735e-09
0.7849111.86657.814623e-09
0.7869231.8663978.472193e-09
0.7889411.8662949.131448e-09
0.7909641.8661929.792394e-09
0.7929921.866091.045503e-08
0.7950251.8659891.111937e-08
0.7970631.8658881.178542e-08
0.7991071.8657871.245317e-08
0.81.8657431.274500e-08
0.8011561.8656871.276341e-08
0.803211.8655871.279614e-08
0.8052691.8654881.282896e-08
0.8073341.8653891.286185e-08
0.8094041.8652911.289484e-08
0.8114791.8651931.292790e-08
0.813561.8650951.296105e-08
0.8156461.8649981.299429e-08
0.8177371.8649011.302761e-08
0.8198341.8648041.306102e-08
0.8219361.8647081.309451e-08
0.8240431.8646131.312809e-08
0.8261561.8645171.316175e-08
0.8282741.8644221.319550e-08
0.831.8643461.322300e-08
0.8303981.8643281.322935e-08
0.8325271.8642341.326331e-08
0.8346621.864141.329735e-08
0.8368021.8640471.333149e-08
0.8389471.8639541.336571e-08
0.8410981.8638611.340002e-08
0.8432551.8637691.343441e-08
0.8454171.8636771.346890e-08
0.8475841.8635851.350347e-08
0.8497581.8634941.353813e-08
0.851.8634841.354200e-08
0.8519361.8634031.357283e-08
0.8541211.8633131.360760e-08
0.8563111.8632221.364247e-08
0.8585061.8631331.367742e-08
0.8607071.8630431.371246e-08
0.8629141.8629541.374759e-08
0.8651271.8628651.378282e-08
0.8673451.8627771.381813e-08
0.8695691.8626891.385353e-08
0.8717981.8626011.388903e-08
0.8740331.8625131.392461e-08
0.8762741.8624261.396029e-08
0.8785211.8623391.399606e-08
0.8807741.8622531.403192e-08
0.8830321.8621661.406787e-08
0.8852961.8620811.410391e-08
0.8875661.8619951.414005e-08
0.8898421.861911.417628e-08
0.8921231.8618251.421260e-08
0.8944111.861741.424902e-08
0.8967041.8616561.428552e-08
0.8990031.8615721.432213e-08
0.91.8615351.433800e-08
0.9013081.8614881.435885e-08
0.9036191.8614041.439568e-08
0.9059361.8613211.443261e-08
0.9082581.8612381.446964e-08
0.9105871.8611561.450676e-08
0.9129221.8610731.454398e-08
0.9152631.8609911.458129e-08
0.9176091.8609091.461869e-08
0.9199621.8608281.465619e-08
0.9223211.8607461.469379e-08
0.9246861.8606661.473149e-08
0.9270561.8605851.476928e-08
0.9294331.8605041.480717e-08
0.9318161.8604241.484515e-08
0.9342061.8603441.488324e-08
0.9366011.8602651.492142e-08
0.9390021.8601851.495970e-08
0.941411.8601061.499807e-08
0.9438241.8600271.503655e-08
0.9462441.8599481.507512e-08
0.948671.859871.511379e-08
0.951.8598271.513500e-08
0.9511021.8597921.515254e-08
0.9535411.8597141.519137e-08
0.9559851.8596361.523029e-08
0.9584371.8595591.526931e-08
0.9608941.8594811.530843e-08
0.9633581.8594041.534765e-08
0.9658281.8593271.538698e-08
0.9683041.8592511.542640e-08
0.9707871.8591751.546592e-08
0.9732761.8590981.550555e-08
0.9757711.8590231.554528e-08
0.9782731.8589471.558511e-08
0.9807811.8588711.562504e-08
0.9832961.8587961.566507e-08
0.9858171.8587211.570521e-08
0.9883451.8586461.574545e-08
0.9908791.8585721.578579e-08
0.9934191.8584971.582624e-08
0.9959671.8584231.586679e-08
0.998521.8583491.590744e-08
11.8583061.593100e-08
1.001081.8582751.594822e-08
1.003651.8582021.598913e-08
1.006221.8581281.603015e-08
1.00881.8580551.607128e-08
1.011391.8579821.611251e-08
1.013981.8579091.615384e-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
—