Optical constants

Refractive index of MC-TAF31-15 (HOYA)

MC-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
9.36134e-09
Permittivity ε1
3.24552
Permittivity ε2
3.37296e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 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

# MC-TAF31-15 (HOYA): MC-TAF31-15
hoya_mc_taf31_15 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MC-TAF31-15", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mc_taf31_15.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mc_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
MC-TAF31-15 (HOYA), MC-TAF31-15: n and k versus wavelength
λ (µm)nk
0.365011.8464052.832533e-07
0.3659461.8459982.713920e-07
0.3668841.8455952.595003e-07
0.3678251.8451932.475782e-07
0.3687681.8447952.356254e-07
0.3697131.8443992.236420e-07
0.371.844282.200100e-07
0.3706611.8440062.146675e-07
0.3716121.8436162.069905e-07
0.3725651.8432281.992938e-07
0.373521.8428431.915773e-07
0.3744771.8424611.838411e-07
0.3754381.8420811.760850e-07
0.37641.8417041.683091e-07
0.3773651.8413291.605132e-07
0.3783331.8409561.526973e-07
0.3793031.8405871.448613e-07
0.381.8403231.392300e-07
0.3802751.8402191.379990e-07
0.381251.8398541.336408e-07
0.3822281.8394921.292714e-07
0.3832081.8391321.248908e-07
0.384191.8387741.204990e-07
0.3851761.8384191.160959e-07
0.3861631.8380651.116815e-07
0.3871531.8377151.072558e-07
0.3881461.8373661.028188e-07
0.3891411.837029.837038e-08
0.391.8367249.453100e-08
0.3901391.8366769.420174e-08
0.3911391.8363359.182892e-08
0.3921421.8359958.945002e-08
0.3931471.8356588.706502e-08
0.3941551.8353238.467390e-08
0.3951661.834998.227665e-08
0.3961791.8346597.987326e-08
0.3971951.8343317.746370e-08
0.3982131.8340047.504796e-08
0.3992341.833687.262604e-08
0.41.8334387.081000e-08
0.4002581.8333577.046066e-08
0.4012841.8330376.907133e-08
0.4023131.8327196.767843e-08
0.4033451.8324036.628196e-08
0.4043791.8320886.488191e-08
0.4054161.8317766.347827e-08
0.4064551.8314666.207103e-08
0.4074971.8311586.066019e-08
0.4085421.8308515.924572e-08
0.409591.8305475.782763e-08
0.410641.8302455.640591e-08
0.4116931.8299445.498054e-08
0.4127481.8296455.355151e-08
0.4138061.8293495.211882e-08
0.4148671.8290545.068246e-08
0.4159311.828764.924241e-08
0.4169981.8284694.779867e-08
0.4180671.828184.635123e-08
0.4191391.8278924.490008e-08
0.421.8276634.373400e-08
0.4202131.8276064.360517e-08
0.4212911.8273224.295446e-08
0.4223711.827044.230209e-08
0.4234541.8267594.164805e-08
0.424541.826484.099232e-08
0.4256281.8262034.033492e-08
0.4267191.8259283.967583e-08
0.4278131.8256543.901506e-08
0.428911.8253823.835258e-08
0.430011.8251113.768841e-08
0.4311131.8248423.702254e-08
0.4322181.8245753.635496e-08
0.4333261.824313.568566e-08
0.4344371.8240463.501465e-08
0.4355511.8237833.434192e-08
0.4366681.8235233.366747e-08
0.4377871.8232643.299129e-08
0.438911.8230063.231337e-08
0.441.8227583.165500e-08
0.4400351.822753.164453e-08
0.4411631.8224953.130939e-08
0.4422951.8222433.097339e-08
0.4434291.8219913.063652e-08
0.4445661.8217413.029880e-08
0.4457051.8214932.996020e-08
0.4468481.8212462.962074e-08
0.4479941.8212.928041e-08
0.4491431.8207562.893921e-08
0.4502941.8205142.859713e-08
0.4514491.8202722.825417e-08
0.4526061.8200332.791034e-08
0.4537671.8197942.756562e-08
0.454931.8195582.722002e-08
0.4560971.8193222.687353e-08
0.4572661.8190882.652616e-08
0.4584381.8188552.617789e-08
0.4596141.8186242.582873e-08
0.461.8185482.571400e-08
0.4607921.8183942.545384e-08
0.4619741.8181652.506585e-08
0.4631581.8179382.467687e-08
0.4643461.8177122.428689e-08
0.4655361.8174872.389590e-08
0.466731.8172642.350392e-08
0.4679271.8170422.311093e-08
0.4691261.8168212.271693e-08
0.4703291.8166022.232192e-08
0.4715351.8163842.192590e-08
0.4727441.8161672.152887e-08
0.4739561.8159512.113081e-08
0.4751711.8157362.073174e-08
0.476391.8155232.033164e-08
0.4776111.8153111.993052e-08
0.4788361.8151011.952837e-08
0.481.8149021.914600e-08
0.4800631.8148911.913586e-08
0.4812941.8146831.893898e-08
0.4825281.8144751.874160e-08
0.4837651.8142691.854371e-08
0.4850061.8140651.834532e-08
0.4862491.8138611.814641e-08
0.4874961.8136591.794700e-08
0.4887461.8134571.774708e-08
0.4899991.8132571.754664e-08
0.4912551.8130581.734569e-08
0.4925151.812861.714422e-08
0.4937781.8126631.694223e-08
0.4950441.8124681.673973e-08
0.4963131.8122731.653671e-08
0.4975861.8120791.633317e-08
0.4988611.8118871.612911e-08
0.51.8117171.594700e-08
0.5001411.8116961.592681e-08
0.5014231.8115051.574254e-08
0.5027091.8113161.555780e-08
0.5039971.8111281.537259e-08
0.505291.8109411.518691e-08
0.5065851.8107551.500074e-08
0.5078841.810571.481410e-08
0.5091861.8103861.462699e-08
0.5104921.8102031.443939e-08
0.5118011.8100211.425131e-08
0.5131131.809841.406275e-08
0.5144291.809661.387370e-08
0.5157481.8094811.368417e-08
0.517071.8093031.349416e-08
0.5183961.8091261.330366e-08
0.5197251.808951.311267e-08
0.5210571.8087751.292119e-08
0.5223931.8086011.272921e-08
0.5237331.8084281.253675e-08
0.5250761.8082561.234379e-08
0.5264221.8080851.215034e-08
0.5277721.8079141.195639e-08
0.5291251.8077451.176195e-08
0.5304811.8075761.156701e-08
0.5318421.8074091.137156e-08
0.5332051.8072421.117562e-08
0.5345721.8070761.097917e-08
0.5359431.8069121.078222e-08
0.5373171.8067481.058476e-08
0.5386951.8065851.038680e-08
0.5400761.8064221.018833e-08
0.5414611.8062619.989354e-09
0.5428491.8061019.789865e-09
0.5442411.8059419.589865e-09
0.5456361.8057829.389352e-09
0.5470351.8056249.188325e-09
0.5484381.8054678.986783e-09
0.5498441.8053118.784724e-09
0.551.8052948.762300e-09
0.5512541.8051568.782274e-09
0.5526671.8050018.804793e-09
0.5540841.8048478.827369e-09
0.5555051.8046948.850002e-09
0.5569291.8045428.872694e-09
0.5583571.8043918.895444e-09
0.5597891.804248.918253e-09
0.5612241.8040918.941120e-09
0.5626631.8039428.964045e-09
0.5641061.8037948.987030e-09
0.5655521.8036469.010073e-09
0.5670021.80359.033175e-09
0.5684561.8033549.056337e-09
0.5699131.8032099.079558e-09
0.5713741.8030649.102838e-09
0.5728391.8029219.126178e-09
0.5743081.8027789.149578e-09
0.5757811.8026369.173038e-09
0.5772571.8024949.196558e-09
0.5787371.8023549.220139e-09
0.5802211.8022149.243780e-09
0.5817091.8020759.267481e-09
0.58321.8019369.291243e-09
0.5846951.8017989.315067e-09
0.5861951.8016619.338951e-09
0.5876971.8015259.362896e-09
0.5892041.8013899.386903e-09
0.5907151.8012549.410972e-09
0.592231.801129.435102e-09
0.5937481.8009869.459294e-09
0.595271.8008539.483548e-09
0.5967971.8007219.507864e-09
0.5983271.800599.532243e-09
0.5998611.8004599.556684e-09
0.61.8004479.558900e-09
0.6013991.8003289.581174e-09
0.6029411.8001999.605725e-09
0.6044871.800079.630339e-09
0.6060371.7999429.655017e-09
0.6075911.7998149.679757e-09
0.6091481.7996879.704561e-09
0.610711.799569.729429e-09
0.6122761.7994359.754360e-09
0.6138461.799319.779355e-09
0.615421.7991859.804415e-09
0.6169981.7990619.829538e-09
0.618581.7989389.854726e-09
0.6201661.7988159.879979e-09
0.6217561.7986939.905296e-09
0.623351.7985729.930678e-09
0.6249481.7984519.956126e-09
0.6265511.798339.981638e-09
0.6281571.7982111.000722e-08
0.6297681.7980911.003286e-08
0.6313821.7979731.005857e-08
0.6330011.7978551.008434e-08
0.6346241.7977381.011019e-08
0.6362511.7976211.013609e-08
0.6378831.7975041.016207e-08
0.6395181.7973891.018811e-08
0.6411581.7972741.021422e-08
0.6428021.7971591.024039e-08
0.644451.7970451.026663e-08
0.6461021.7969311.029294e-08
0.6477591.7968181.031932e-08
0.649421.7967061.034576e-08
0.651.7966671.035500e-08
0.6510851.7965941.025126e-08
0.6527541.7964831.009161e-08
0.6544281.7963729.931550e-09
0.6561061.7962629.771079e-09
0.6577881.7961529.610197e-09
0.6594741.7960439.448903e-09
0.6611651.7959349.287194e-09
0.6628611.7958269.125072e-09
0.664561.7957188.962533e-09
0.6662641.7956118.799578e-09
0.6679721.7955048.636205e-09
0.6696851.7953978.472413e-09
0.6714021.7952928.308201e-09
0.6731231.7951868.143569e-09
0.6748491.7950827.978514e-09
0.676581.7949777.813035e-09
0.6783141.7948737.647133e-09
0.6800531.794777.480805e-09
0.6817971.7946677.314051e-09
0.6835451.7945657.146869e-09
0.6852981.7944636.979259e-09
0.6870551.7943616.811218e-09
0.6888161.794266.642747e-09
0.6905831.794166.473844e-09
0.6923531.794066.304508e-09
0.6941281.793966.134738e-09
0.6959081.7938615.964532e-09
0.6976921.7937625.793890e-09
0.6994811.7936645.622811e-09
0.71.7936355.573200e-09
0.7012751.7935665.583349e-09
0.7030731.7934685.597665e-09
0.7048751.7933715.612018e-09
0.7066831.7932745.626407e-09
0.7084951.7931785.640834e-09
0.7103111.7930825.655297e-09
0.7121321.7929875.669798e-09
0.7139581.7928925.684336e-09
0.7157891.7927985.698911e-09
0.7176241.7927035.713523e-09
0.7194641.792615.728173e-09
0.7213091.7925165.742860e-09
0.7231581.7924235.757585e-09
0.7250121.7923315.772348e-09
0.7268711.7922395.787148e-09
0.7287351.7921475.801987e-09
0.7306031.7920565.816864e-09
0.7324771.7919655.831778e-09
0.7343551.7918745.846731e-09
0.7362371.7917845.861723e-09
0.7381251.7916945.876752e-09
0.7400181.7916055.891821e-09
0.7419151.7915165.906928e-09
0.7438171.7914275.922073e-09
0.7457241.7913385.937258e-09
0.7476361.791255.952481e-09
0.7495531.7911635.967744e-09
0.751.7911435.971300e-09
0.7514751.7910765.983043e-09
0.7534021.7909895.998380e-09
0.7553341.7909026.013756e-09
0.757271.7908166.029172e-09
0.7592121.790736.044627e-09
0.7611591.7906456.060122e-09
0.763111.7905596.075656e-09
0.7650671.7904756.091231e-09
0.7670281.790396.106845e-09
0.7689951.7903066.122500e-09
0.7709671.7902226.138194e-09
0.7729431.7901396.153929e-09
0.7749251.7900556.169704e-09
0.7769121.7899726.185520e-09
0.7789041.789896.201376e-09
0.781.7898456.210100e-09
0.7809011.7898086.217277e-09
0.7829031.7897266.233225e-09
0.7849111.7896446.249213e-09
0.7869231.7895636.265243e-09
0.7889411.7894826.281313e-09
0.7909641.7894016.297425e-09
0.7929921.7893216.313578e-09
0.7950251.7892416.329772e-09
0.7970631.7891616.346008e-09
0.7991071.7890826.362286e-09
0.81.7890476.369400e-09
0.8011561.7890036.378600e-09
0.803211.7889246.394951e-09
0.8052691.7888456.411343e-09
0.8073341.7887676.427778e-09
0.8094041.7886896.444255e-09
0.8114791.7886116.460775e-09
0.813561.7885346.477336e-09
0.8156461.7884576.493940e-09
0.8177371.788386.510587e-09
0.8198341.7883036.527276e-09
0.8219361.7882276.544008e-09
0.8240431.7881516.560783e-09
0.8261561.7880756.577602e-09
0.8282741.7879996.594463e-09
0.831.7879386.608200e-09
0.8303981.7879246.611369e-09
0.8325271.7878496.628327e-09
0.8346621.7877746.645329e-09
0.8368021.78776.662375e-09
0.8389471.7876266.679464e-09
0.8410981.7875526.696597e-09
0.8432551.7874786.713774e-09
0.8454171.7874046.730995e-09
0.8475841.7873316.748260e-09
0.8497581.7872586.765569e-09
0.851.787256.767500e-09
0.8519361.7871857.060682e-09
0.8541211.7871137.391413e-09
0.8563111.7870417.722991e-09
0.8585061.7869698.055420e-09
0.8607071.7868978.388701e-09
0.8629141.7868258.722836e-09
0.8651271.7867549.057828e-09
0.8673451.7866839.393679e-09
0.8695691.7866129.730391e-09
0.8717981.7865411.006797e-08
0.8740331.7864711.040641e-08
0.8762741.78641.074572e-08
0.8785211.786331.108590e-08
0.8807741.7862611.142695e-08
0.8830321.7861911.176887e-08
0.8852961.7861211.211167e-08
0.8875661.7860521.245536e-08
0.8898421.7859831.279992e-08
0.8921231.7859151.314536e-08
0.8944111.7858461.349169e-08
0.8967041.7857781.383891e-08
0.8990031.7857091.418702e-08
0.91.785681.433800e-08
0.9013081.7856411.416080e-08
0.9036191.7855741.384770e-08
0.9059361.7855061.353379e-08
0.9082581.7854391.321908e-08
0.9105871.7853711.290356e-08
0.9129221.7853041.258724e-08
0.9152631.7852371.227010e-08
0.9176091.7851711.195215e-08
0.9199621.7851041.163339e-08
0.9223211.7850381.131380e-08
0.9246861.7849721.099340e-08
0.9270561.7849061.067218e-08
0.9294331.784841.035013e-08
0.9318161.7847741.002726e-08
0.9342061.7847099.703556e-09
0.9366011.7846449.379025e-09
0.9390021.7845789.053663e-09
0.941411.7845148.727466e-09
0.9438241.7844498.400432e-09
0.9462441.7843848.072560e-09
0.948671.784327.743848e-09
0.951.7842847.563600e-09
0.9511021.7842557.572374e-09
0.9535411.7841917.591790e-09
0.9559851.7841277.611256e-09
0.9584371.7840637.630772e-09
0.9608941.7839997.650338e-09
0.9633581.7839367.669954e-09
0.9658281.7838727.689620e-09
0.9683041.7838097.709337e-09
0.9707871.7837467.729104e-09
0.9732761.7836837.748922e-09
0.9757711.783627.768791e-09
0.9782731.7835577.788710e-09
0.9807811.7834957.808681e-09
0.9832961.7834327.828703e-09
0.9858171.783377.848776e-09
0.9883451.7833087.868901e-09
0.9908791.7832467.889077e-09
0.9934191.7831847.909306e-09
0.9959671.7831227.929586e-09
0.998521.783067.949918e-09
11.7830247.961700e-09
1.001081.7829997.970302e-09
1.003651.7829377.990738e-09
1.006221.7828768.011227e-09
1.00881.7828148.031768e-09
1.011391.7827538.052362e-09
1.013981.7826928.073009e-09

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
—