Optical constants

Refractive index of TAFD37A (HOYA)

TAFD37A: 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
1.90043
Extinction coefficient k
2.45299e-08
Permittivity ε1
3.61162
Permittivity ε2
9.32346e-08
Absorption coefficient α
0.00524595 cm⁻¹
Penetration depth δ = λ/(2πk)
3.81246e+09 nm
Abbe number Vd
37.372
Chromatic dispersion dn/dλ
-0.122512 µm⁻¹
Group index ng
1.97241
Group velocity dispersion
236.075 fs²/mm
Dispersion parameter D
-1287.92 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

# TAFD37A (HOYA): TAFD37A
hoya_tafd37a = ls.fetch_refractiveindex("specs", "HOYA-optical", "TAFD37A", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_tafd37a.range_nm)  # (365.01, 1013.98) nm
eps = hoya_tafd37a.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=3.4958125−0.014342354⁢λ2.0+0.037807251⁢λ−2.0+0.0014184073⁢λ−4.0−4.6470269×10-5⁢λ−6.0+6.919444×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C13.4958125
C2-0.014342354
C32.0
C40.037807251
C5-2.0
C60.0014184073
C7-4.0
C8-4.6470269e-05
C9-6.0
C106.919444e-06
C11-8.0

Comments and conditions

Recommended glass type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 6.28e-07 8.14e-09 -5.08e-11 8.44e-07 7.6e-10 0.225
nd
1.90043
Vd
37.37
glass code
900374
glass status
standard
density
value: 4900
thermal expansion
value: 7e-06, temperature range: 243 343; value: 8.5e-06, temperature range: 293 573
dPgF
-0.0043
resistance
acid: 1.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.08e-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
TAFD37A (HOYA), TAFD37A: n and k versus wavelength
λ (µm)nk
0.365011.964662.022290e-06
0.3659461.9640441.904323e-06
0.3668841.9634331.786053e-06
0.3678251.9628271.667481e-06
0.3687681.9622261.548604e-06
0.3697131.9616291.429423e-06
0.371.961451.393300e-06
0.3706611.9610381.358686e-06
0.3716121.9604511.308947e-06
0.3725651.9598681.259081e-06
0.373521.959291.209086e-06
0.3744771.9587171.158963e-06
0.3754381.9581481.108712e-06
0.37641.9575841.058332e-06
0.3773651.9570231.007823e-06
0.3783331.9564689.571838e-07
0.3793031.9559169.064152e-07
0.381.9555238.699300e-07
0.3802751.9553698.617950e-07
0.381251.9548258.329940e-07
0.3822281.9542868.041193e-07
0.3832081.9537517.751705e-07
0.384191.953227.461474e-07
0.3851761.9526947.170500e-07
0.3861631.9521716.878779e-07
0.3871531.9516526.586311e-07
0.3881461.9511366.293092e-07
0.3891411.9506255.999122e-07
0.391.9501885.745400e-07
0.3901391.9501185.722132e-07
0.3911391.9496145.554451e-07
0.3921421.9491145.386341e-07
0.3931471.9486185.217799e-07
0.3941551.9481255.048825e-07
0.3951661.9476364.879418e-07
0.3961791.947154.709576e-07
0.3971951.9466684.539299e-07
0.3982131.946194.368586e-07
0.3992341.9457154.197434e-07
0.41.9453624.069100e-07
0.4002581.9452434.047431e-07
0.4012841.9447753.961252e-07
0.4023131.944313.874851e-07
0.4033451.9438493.788230e-07
0.4043791.9433913.701386e-07
0.4054161.9429363.614319e-07
0.4064551.9424843.527030e-07
0.4074971.9420363.439516e-07
0.4085421.9415913.351778e-07
0.409591.9411483.263816e-07
0.410641.9407093.175627e-07
0.4116931.9402733.087213e-07
0.4127481.9398412.998571e-07
0.4138061.9394112.909703e-07
0.4148671.9389842.820607e-07
0.4159311.938562.731282e-07
0.4169981.9381392.641728e-07
0.4180671.9377212.551945e-07
0.4191391.9373062.461931e-07
0.421.9369752.389600e-07
0.4202131.9368942.381700e-07
0.4212911.9364842.341798e-07
0.4223711.9360782.301794e-07
0.4234541.9356742.261687e-07
0.424541.9352732.221477e-07
0.4256281.9348742.181164e-07
0.4267191.9344792.140748e-07
0.4278131.9340862.100228e-07
0.428911.9336952.059604e-07
0.430011.9333082.018877e-07
0.4311131.9329221.978044e-07
0.4322181.932541.937107e-07
0.4333261.932161.896065e-07
0.4344371.9317831.854918e-07
0.4355511.9314081.813666e-07
0.4366681.9310351.772307e-07
0.4377871.9306661.730843e-07
0.438911.9302981.689272e-07
0.441.9299451.648900e-07
0.4400351.9299331.648092e-07
0.4411631.9295711.622233e-07
0.4422951.929211.596308e-07
0.4434291.9288531.570316e-07
0.4445661.9284971.544257e-07
0.4457051.9281441.518132e-07
0.4468481.9277931.491939e-07
0.4479941.9274451.465680e-07
0.4491431.9270981.439353e-07
0.4502941.9267541.412958e-07
0.4514491.9264121.386496e-07
0.4526061.9260731.359966e-07
0.4537671.9257351.333369e-07
0.454931.92541.306702e-07
0.4560971.9250671.279968e-07
0.4572661.9247361.253165e-07
0.4584381.9244081.226293e-07
0.4596141.9240811.199353e-07
0.461.9239741.190500e-07
0.4607921.9237561.178550e-07
0.4619741.9234341.160727e-07
0.4631581.9231131.142859e-07
0.4643461.9227951.124946e-07
0.4655361.9224781.106986e-07
0.466731.9221641.088980e-07
0.4679271.9218511.070928e-07
0.4691261.9215411.052830e-07
0.4703291.9212331.034686e-07
0.4715351.9209261.016494e-07
0.4727441.9206219.982566e-08
0.4739561.9203199.799721e-08
0.4751711.9200189.616407e-08
0.476391.9197199.432623e-08
0.4776111.9194229.248367e-08
0.4788361.9191269.063639e-08
0.481.9188488.888000e-08
0.4800631.9188338.878890e-08
0.4812941.9185418.701983e-08
0.4825281.9182528.524623e-08
0.4837651.9179648.346809e-08
0.4850061.9176778.168538e-08
0.4862491.9173937.989811e-08
0.4874961.917117.810625e-08
0.4887461.9168297.630979e-08
0.4899991.916557.450873e-08
0.4912551.9162727.270306e-08
0.4925151.9159977.089275e-08
0.4937781.9157226.907780e-08
0.4950441.915456.725820e-08
0.4963131.9151796.543393e-08
0.4975861.914916.360499e-08
0.4988611.9146426.177135e-08
0.51.9144056.013500e-08
0.5001411.9143766.004001e-08
0.5014231.9141125.917328e-08
0.5027091.9138495.830432e-08
0.5039971.9135885.743313e-08
0.505291.9133285.655971e-08
0.5065851.913075.568405e-08
0.5078841.9128145.480615e-08
0.5091861.9125595.392599e-08
0.5104921.9123055.304358e-08
0.5118011.9120535.215890e-08
0.5131131.9118035.127196e-08
0.5144291.9115545.038274e-08
0.5157481.9113074.949125e-08
0.517071.9110614.859746e-08
0.5183961.9108164.770139e-08
0.5197251.9105734.680302e-08
0.5210571.9103314.590234e-08
0.5223931.9100914.499936e-08
0.5237331.9098524.409406e-08
0.5250761.9096154.318643e-08
0.5264221.9093794.227649e-08
0.5277721.9091444.136420e-08
0.5291251.9089114.044958e-08
0.5304811.9086793.953262e-08
0.5318421.9084483.861330e-08
0.5332051.9082193.769163e-08
0.5345721.9079913.676759e-08
0.5359431.9077643.584119e-08
0.5373171.9075393.491240e-08
0.5386951.9073153.398124e-08
0.5400761.9070933.304769e-08
0.5414611.9068713.211175e-08
0.5428491.9066513.117340e-08
0.5442411.9064323.023265e-08
0.5456361.9062152.928949e-08
0.5470351.9059982.834391e-08
0.5484381.9057832.739591e-08
0.5498441.9055692.644547e-08
0.551.9055462.634000e-08
0.5512541.9053572.627965e-08
0.5526671.9051452.621160e-08
0.5540841.9049352.614339e-08
0.5555051.9047262.607500e-08
0.5569291.9045182.600643e-08
0.5583571.9043122.593769e-08
0.5597891.9041062.586877e-08
0.5612241.9039022.579968e-08
0.5626631.9036992.573041e-08
0.5641061.9034972.566096e-08
0.5655521.9032962.559133e-08
0.5670021.9030962.552153e-08
0.5684561.9028972.545154e-08
0.5699131.90272.538138e-08
0.5713741.9025032.531103e-08
0.5728391.9023082.524051e-08
0.5743081.9021142.516980e-08
0.5757811.901922.509892e-08
0.5772571.9017282.502785e-08
0.5787371.9015372.495660e-08
0.5802211.9013472.488517e-08
0.5817091.9011582.481355e-08
0.58321.9009712.474175e-08
0.5846951.9007842.466977e-08
0.5861951.9005982.459760e-08
0.5876971.9004132.452524e-08
0.5892041.9002292.445270e-08
0.5907151.9000472.437998e-08
0.592231.8998652.430707e-08
0.5937481.8996842.423397e-08
0.595271.8995042.416068e-08
0.5967971.8993262.408721e-08
0.5983271.8991482.401355e-08
0.5998611.8989712.393970e-08
0.61.8989552.393300e-08
0.6013991.8987952.398882e-08
0.6029411.898622.405034e-08
0.6044871.8984462.411202e-08
0.6060371.8982732.417387e-08
0.6075911.8981012.423586e-08
0.6091481.897932.429802e-08
0.610711.8977592.436034e-08
0.6122761.897592.442282e-08
0.6138461.8974222.448545e-08
0.615421.8972542.454825e-08
0.6169981.8970872.461121e-08
0.618581.8969222.467433e-08
0.6201661.8967572.473761e-08
0.6217561.8965932.480106e-08
0.623351.896432.486466e-08
0.6249481.8962672.492843e-08
0.6265511.8961062.499237e-08
0.6281571.8959452.505647e-08
0.6297681.8957862.512073e-08
0.6313821.8956272.518515e-08
0.6330011.8954692.524975e-08
0.6346241.8953112.531450e-08
0.6362511.8951552.537943e-08
0.6378831.8952.544452e-08
0.6395181.8948452.550977e-08
0.6411581.8946912.557520e-08
0.6428021.8945382.564079e-08
0.644451.8943852.570655e-08
0.6461021.8942342.577248e-08
0.6477591.8940832.583858e-08
0.649421.8939332.590484e-08
0.651.8938812.592800e-08
0.6510851.8937842.597126e-08
0.6527541.8936352.603783e-08
0.6544281.8934882.610458e-08
0.6561061.8933412.617149e-08
0.6577881.8931942.623858e-08
0.6594741.8930492.630584e-08
0.6611651.8929042.637327e-08
0.6628611.892762.644088e-08
0.664561.8926172.650866e-08
0.6662641.8924752.657661e-08
0.6679721.8923332.664473e-08
0.6696851.8921922.671303e-08
0.6714021.8920512.678151e-08
0.6731231.8919122.685016e-08
0.6748491.8917732.691899e-08
0.676581.8916352.698799e-08
0.6783141.8914972.705717e-08
0.6800531.891362.712653e-08
0.6817971.8912242.719607e-08
0.6835451.8910882.726578e-08
0.6852981.8909542.733568e-08
0.6870551.8908192.740575e-08
0.6888161.8906862.747600e-08
0.6905831.8905532.754643e-08
0.6923531.8904212.761705e-08
0.6941281.8902892.768784e-08
0.6959081.8901582.775882e-08
0.6976921.8900282.782997e-08
0.6994811.8898992.790131e-08
0.71.8898612.792200e-08
0.7012751.889772.782000e-08
0.7030731.8896412.767612e-08
0.7048751.8895132.753187e-08
0.7066831.8893862.738725e-08
0.7084951.889262.724226e-08
0.7103111.8891342.709690e-08
0.7121321.8890092.695117e-08
0.7139581.8888842.680506e-08
0.7157891.888762.665858e-08
0.7176241.8886362.651172e-08
0.7194641.8885132.636449e-08
0.7213091.8883912.621688e-08
0.7231581.8882692.606889e-08
0.7250121.8881482.592052e-08
0.7268711.8880282.577177e-08
0.7287351.8879082.562264e-08
0.7306031.8877882.547312e-08
0.7324771.8876692.532323e-08
0.7343551.8875512.517294e-08
0.7362371.8874332.502228e-08
0.7381251.8873162.487123e-08
0.7400181.8871992.471978e-08
0.7419151.8870832.456796e-08
0.7438171.8869672.441574e-08
0.7457241.8868522.426313e-08
0.7476361.8867382.411013e-08
0.7495531.8866242.395674e-08
0.751.8865972.392100e-08
0.7514751.886512.396806e-08
0.7534021.8863972.402952e-08
0.7553341.8862852.409114e-08
0.757271.8861732.415292e-08
0.7592121.8860612.421486e-08
0.7611591.885952.427696e-08
0.763111.885842.433921e-08
0.7650671.885732.440163e-08
0.7670281.885622.446420e-08
0.7689951.8855112.452694e-08
0.7709671.8854032.458983e-08
0.7729431.8852952.465289e-08
0.7749251.8851872.471611e-08
0.7769121.885082.477949e-08
0.7789041.8849732.484304e-08
0.781.8849152.487800e-08
0.7809011.8848672.490674e-08
0.7829031.8847622.497061e-08
0.7849111.8846562.503465e-08
0.7869231.8845522.509885e-08
0.7889411.8844472.516321e-08
0.7909641.8843432.522774e-08
0.7929921.884242.529243e-08
0.7950251.8841372.535729e-08
0.7970631.8840352.542232e-08
0.7991071.8839322.548751e-08
0.81.8838882.551600e-08
0.8011561.8838312.709034e-08
0.803211.883732.988848e-08
0.8052691.8836293.269380e-08
0.8073341.8835283.550632e-08
0.8094041.8834283.832604e-08
0.8114791.8833294.115299e-08
0.813561.883234.398719e-08
0.8156461.8831314.682866e-08
0.8177371.8830334.967742e-08
0.8198341.8829355.253348e-08
0.8219361.8828375.539686e-08
0.8240431.882745.826758e-08
0.8261561.8826436.114566e-08
0.8282741.8825476.403112e-08
0.831.8824696.638200e-08
0.8303981.8824516.641381e-08
0.8325271.8823566.658403e-08
0.8346621.882266.675469e-08
0.8368021.8821666.692579e-08
0.8389471.8820716.709732e-08
0.8410981.8819776.726930e-08
0.8432551.8818846.744171e-08
0.8454171.881796.761457e-08
0.8475841.8816976.778787e-08
0.8497581.8816056.796162e-08
0.851.8815956.798100e-08
0.8519361.8815136.869675e-08
0.8541211.8814216.950417e-08
0.8563111.8813297.031366e-08
0.8585061.8812387.112522e-08
0.8607071.8811477.193887e-08
0.8629141.8810577.275460e-08
0.8651271.8809677.357242e-08
0.8673451.8808777.439234e-08
0.8695691.8807887.521436e-08
0.8717981.8806987.603849e-08
0.8740331.880617.686473e-08
0.8762741.8805217.769309e-08
0.8785211.8804337.852358e-08
0.8807741.8803457.935619e-08
0.8830321.8802588.019094e-08
0.8852961.8801718.102783e-08
0.8875661.8800848.186686e-08
0.8898421.8799978.270805e-08
0.8921231.8799118.355139e-08
0.8944111.8798258.439690e-08
0.8967041.8797398.524457e-08
0.8990031.8796548.609442e-08
0.91.8796178.646300e-08
0.9013081.8795698.678892e-08
0.9036191.8794848.736481e-08
0.9059361.87948.794216e-08
0.9082581.8793168.852100e-08
0.9105871.8792328.910133e-08
0.9129221.8791488.968314e-08
0.9152631.8790659.026644e-08
0.9176091.8789829.085124e-08
0.9199621.8788999.143754e-08
0.9223211.8788179.202534e-08
0.9246861.8787359.261465e-08
0.9270561.8786539.320547e-08
0.9294331.8785719.379780e-08
0.9318161.878499.439165e-08
0.9342061.8784099.498703e-08
0.9366011.8783289.558393e-08
0.9390021.8782479.618236e-08
0.941411.8781679.678233e-08
0.9438241.8780879.738383e-08
0.9462441.8780079.798688e-08
0.948671.8779289.859147e-08
0.951.8778849.892300e-08
0.9511021.8778489.903776e-08
0.9535411.8777699.929172e-08
0.9559851.877699.954632e-08
0.9584371.8776129.980158e-08
0.9608941.8775331.000575e-07
0.9633581.8774551.003141e-07
0.9658281.8773771.005713e-07
0.9683041.87731.008292e-07
0.9707871.8772221.010877e-07
0.9732761.8771451.013469e-07
0.9757711.8770681.016068e-07
0.9782731.8769911.018674e-07
0.9807811.8769151.021286e-07
0.9832961.8768381.023904e-07
0.9858171.8767621.026530e-07
0.9883451.8766861.029162e-07
0.9908791.876611.031801e-07
0.9934191.8765351.034447e-07
0.9959671.876461.037100e-07
0.998521.8763851.039759e-07
11.8763411.041300e-07
1.001081.876311.042426e-07
1.003651.8762351.045100e-07
1.006221.876161.047782e-07
1.00881.8760861.050470e-07
1.011391.8760121.053165e-07
1.013981.8759381.055867e-07

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
—