Optical constants

Refractive index of MC-BACD12 (HOYA)

MC-BACD12: 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
1.58313
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.50629
Permittivity ε2
4.44816e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
59.461
Chromatic dispersion dn/dλ
-0.050726 µm⁻¹
Group index ng
1.61293
Group velocity dispersion
88.0701 fs²/mm
Dispersion parameter D
-480.469 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-BACD12 (HOYA): MC-BACD12
hoya_mc_bacd12 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MC-BACD12", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mc_bacd12.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mc_bacd12.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=2.468781−0.01062639⁢λ2.0+0.01325184⁢λ−2.0+0.0004048612⁢λ−4.0−2.974799×10-5⁢λ−6.0+1.825884×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.468781
C2-0.01062639
C32.0
C40.01325184
C5-2.0
C60.0004048612
C7-4.0
C8-2.974799e-05
C9-6.0
C101.825884e-06
C11-8.0

Comments and conditions

Preforms for Precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.36e-06 1.02e-08 -4.81e-11 6.1e-07 6.81e-10 4.77e-09
nd
1.58313
Vd
59.46
glass code
583595
glass status
standard
density
value: 3010
thermal expansion
value: 6.9e-06, temperature range: 243 343; value: 9e-06, temperature range: 293 573
dPgF
-0.0008
resistance
acid: 3.0; stain: 3.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.32e-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-BACD12 (HOYA), MC-BACD12: n and k versus wavelength
λ (µm)nk
0.365011.6071264.957941e-08
0.3659461.6069164.638873e-08
0.3668841.6067084.318988e-08
0.3678251.6065013.998282e-08
0.3687681.6062963.676754e-08
0.3697131.6060913.354402e-08
0.371.606033.256700e-08
0.3706611.6058883.222124e-08
0.3716121.6056873.172439e-08
0.3725651.6054863.122627e-08
0.373521.6052873.072687e-08
0.3744771.6050893.022618e-08
0.3754381.6048922.972422e-08
0.37641.6046972.922097e-08
0.3773651.6045032.871642e-08
0.3783331.604312.821059e-08
0.3793031.6041182.770345e-08
0.381.6039812.733900e-08
0.3802751.6039272.710045e-08
0.381251.6037372.625589e-08
0.3822281.6035492.540917e-08
0.3832081.6033622.456028e-08
0.384191.6031762.370921e-08
0.3851761.6029912.285595e-08
0.3861631.6028072.200052e-08
0.3871531.6026242.114288e-08
0.3881461.6024432.028305e-08
0.3891411.6022621.942101e-08
0.391.6021071.867700e-08
0.3901391.6020831.846196e-08
0.3911391.6019041.691226e-08
0.3921421.6017271.535859e-08
0.3931471.6015511.380093e-08
0.3941551.6013761.223928e-08
0.3951661.6012011.067362e-08
0.3961791.6010289.103956e-09
0.3971951.6008567.530263e-09
0.3982131.6006855.952535e-09
0.3992341.6005154.370761e-09
0.41.6003883.184700e-09
0.4002581.6003463.186754e-09
0.4012841.6001783.194923e-09
0.4023131.6000113.203113e-09
0.4033451.5998453.211324e-09
0.4043791.599683.219556e-09
0.4054161.5995153.227809e-09
0.4064551.5993523.236083e-09
0.4074971.599193.244378e-09
0.4085421.5990283.252695e-09
0.409591.5988683.261033e-09
0.410641.5987093.269392e-09
0.4116931.598553.277773e-09
0.4127481.5983923.286176e-09
0.4138061.5982363.294599e-09
0.4148671.598083.303045e-09
0.4159311.5979253.311512e-09
0.4169981.5977713.320001e-09
0.4180671.5976183.328511e-09
0.4191391.5974653.337044e-09
0.421.5973443.343900e-09
0.4202131.5973143.383000e-09
0.4212911.5971633.580484e-09
0.4223711.5970143.778475e-09
0.4234541.5968653.976974e-09
0.424541.5967174.175981e-09
0.4256281.596574.375499e-09
0.4267191.5964234.575528e-09
0.4278131.5962784.776070e-09
0.428911.5961334.977126e-09
0.430011.5959895.178698e-09
0.4311131.5958465.380786e-09
0.4322181.5957045.583393e-09
0.4333261.5955625.786519e-09
0.4344371.5954215.990166e-09
0.4355511.5952816.194336e-09
0.4366681.5951426.399028e-09
0.4377871.5950046.604246e-09
0.438911.5948666.809989e-09
0.441.5947347.009800e-09
0.4400351.5947297.003901e-09
0.4411631.5945936.815068e-09
0.4422951.5944586.625751e-09
0.4434291.5943236.435949e-09
0.4445661.5941896.245660e-09
0.4457051.5940566.054883e-09
0.4468481.5939245.863616e-09
0.4479941.5937925.671860e-09
0.4491431.5936615.479612e-09
0.4502941.5935315.286871e-09
0.4514491.5934025.093635e-09
0.4526061.5932734.899905e-09
0.4537671.5931454.705677e-09
0.454931.5930174.510952e-09
0.4560971.592894.315727e-09
0.4572661.5927644.120002e-09
0.4584381.5926393.923775e-09
0.4596141.5925143.727045e-09
0.461.5924743.662400e-09
0.4607921.592393.971895e-09
0.4619741.5922674.433467e-09
0.4631581.5921444.896222e-09
0.4643461.5920225.360163e-09
0.4655361.5919015.825294e-09
0.466731.591786.291617e-09
0.4679271.591666.759136e-09
0.4691261.5915417.227854e-09
0.4703291.5914227.697773e-09
0.4715351.5913048.168897e-09
0.4727441.5911878.641230e-09
0.4739561.591079.114773e-09
0.4751711.5909539.589530e-09
0.476391.5908381.006551e-08
0.4776111.5907231.054270e-08
0.4788361.5906081.102112e-08
0.481.59051.147600e-08
0.4800631.5904951.147752e-08
0.4812941.5903811.150700e-08
0.4825281.5902691.153655e-08
0.4837651.5901571.156618e-08
0.4850061.5900451.159589e-08
0.4862491.5899351.162567e-08
0.4874961.5898241.165553e-08
0.4887461.5897151.168547e-08
0.4899991.5896061.171548e-08
0.4912551.5894971.174557e-08
0.4925151.5893891.177574e-08
0.4937781.5892821.180598e-08
0.4950441.5891751.183630e-08
0.4963131.5890691.186670e-08
0.4975861.5889631.189718e-08
0.4988611.5888581.192773e-08
0.51.5887651.195500e-08
0.5001411.5887531.195836e-08
0.5014231.5886491.198901e-08
0.5027091.5885461.201973e-08
0.5039971.5884431.205054e-08
0.505291.588341.208142e-08
0.5065851.5882381.211239e-08
0.5078841.5881371.214343e-08
0.5091861.5880361.217455e-08
0.5104921.5879351.220575e-08
0.5118011.5878361.223704e-08
0.5131131.5877361.226840e-08
0.5144291.5876371.229984e-08
0.5157481.5875391.233137e-08
0.517071.5874411.236297e-08
0.5183961.5873441.239466e-08
0.5197251.5872471.242642e-08
0.5210571.5871511.245827e-08
0.5223931.5870551.249020e-08
0.5237331.586961.252221e-08
0.5250761.5868651.255431e-08
0.5264221.586771.258648e-08
0.5277721.5866761.261874e-08
0.5291251.5865831.265108e-08
0.5304811.586491.268351e-08
0.5318421.5863971.271601e-08
0.5332051.5863051.274860e-08
0.5345721.5862141.278128e-08
0.5359431.5861231.281404e-08
0.5373171.5860321.284688e-08
0.5386951.5859421.287980e-08
0.5400761.5858521.291281e-08
0.5414611.5857631.294591e-08
0.5428491.5856741.297909e-08
0.5442411.5855851.301235e-08
0.5456361.5854971.304571e-08
0.5470351.585411.307914e-08
0.5484381.5853221.311266e-08
0.5498441.5852361.314627e-08
0.551.5852261.315000e-08
0.5512541.5851491.317996e-08
0.5526671.5850641.321374e-08
0.5540841.5849781.324761e-08
0.5555051.5848931.328156e-08
0.5569291.5848091.331561e-08
0.5583571.5847241.334973e-08
0.5597891.5846411.338395e-08
0.5612241.5845571.341825e-08
0.5626631.5844741.345264e-08
0.5641061.5843921.348712e-08
0.5655521.5843091.352169e-08
0.5670021.5842281.355635e-08
0.5684561.5841461.359109e-08
0.5699131.5840651.362593e-08
0.5713741.5839851.366085e-08
0.5728391.5839051.369586e-08
0.5743081.5838251.373097e-08
0.5757811.5837451.376616e-08
0.5772571.5836661.380144e-08
0.5787371.5835881.383682e-08
0.5802211.5835091.387228e-08
0.5817091.5834311.390784e-08
0.58321.5833541.394348e-08
0.5846951.5832761.397922e-08
0.5861951.58321.401505e-08
0.5876971.5831231.405097e-08
0.5892041.5830471.408698e-08
0.5907151.5829711.412309e-08
0.592231.5828961.415929e-08
0.5937481.5828211.419558e-08
0.595271.5827461.423196e-08
0.5967971.5826721.426844e-08
0.5983271.5825981.430501e-08
0.5998611.5825241.434168e-08
0.61.5825171.434500e-08
0.6013991.5824511.423336e-08
0.6029411.5823781.411032e-08
0.6044871.5823051.398695e-08
0.6060371.5822331.386327e-08
0.6075911.5821611.373927e-08
0.6091481.5820891.361496e-08
0.610711.5820181.349032e-08
0.6122761.5819471.336537e-08
0.6138461.5818761.324009e-08
0.615421.5818061.311450e-08
0.6169981.5817361.298858e-08
0.618581.5816661.286234e-08
0.6201661.5815961.273577e-08
0.6217561.5815271.260889e-08
0.623351.5814591.248167e-08
0.6249481.581391.235413e-08
0.6265511.5813221.222626e-08
0.6281571.5812541.209807e-08
0.6297681.5811861.196955e-08
0.6313821.5811191.184069e-08
0.6330011.5810521.171151e-08
0.6346241.5809851.158199e-08
0.6362511.5809191.145215e-08
0.6378831.5808531.132197e-08
0.6395181.5807871.119145e-08
0.6411581.5807221.106060e-08
0.6428021.5806561.092942e-08
0.644451.5805911.079790e-08
0.6461021.5805271.066604e-08
0.6477591.5804621.053385e-08
0.649421.5803981.040131e-08
0.651.5803761.035500e-08
0.6510851.5803341.049343e-08
0.6527541.5802711.070648e-08
0.6544281.5802071.092007e-08
0.6561061.5801441.113420e-08
0.6577881.5800811.134889e-08
0.6594741.5800191.156413e-08
0.6611651.5799571.177992e-08
0.6628611.5798951.199626e-08
0.664561.5798331.221316e-08
0.6662641.5797721.243061e-08
0.6679721.579711.264862e-08
0.6696851.5796491.286719e-08
0.6714021.5795891.308632e-08
0.6731231.5795281.330601e-08
0.6748491.5794681.352627e-08
0.676581.5794081.374709e-08
0.6783141.5793481.396847e-08
0.6800531.5792891.419043e-08
0.6817971.579231.441295e-08
0.6835451.5791711.463604e-08
0.6852981.5791121.485971e-08
0.6870551.5790531.508395e-08
0.6888161.5789951.530876e-08
0.6905831.5789371.553415e-08
0.6923531.5788791.576012e-08
0.6941281.5788211.598666e-08
0.6959081.5787641.621379e-08
0.6976921.5787071.644150e-08
0.6994811.578651.666980e-08
0.71.5786331.673600e-08
0.7012751.5785931.691917e-08
0.7030731.5785371.717755e-08
0.7048751.578481.743659e-08
0.7066831.5784241.769630e-08
0.7084951.5783691.795667e-08
0.7103111.5783131.821771e-08
0.7121321.5782571.847942e-08
0.7139581.5782021.874180e-08
0.7157891.5781471.900485e-08
0.7176241.5780921.926858e-08
0.7194641.5780381.953298e-08
0.7213091.5779831.979806e-08
0.7231581.5779292.006382e-08
0.7250121.5778752.033026e-08
0.7268711.5778212.059739e-08
0.7287351.5777682.086520e-08
0.7306031.5777142.113370e-08
0.7324771.5776612.140288e-08
0.7343551.5776082.167276e-08
0.7362371.5775552.194332e-08
0.7381251.5775032.221458e-08
0.7400181.577452.248654e-08
0.7419151.5773982.275919e-08
0.7438171.5773462.303255e-08
0.7457241.5772942.330660e-08
0.7476361.5772422.358136e-08
0.7495531.5771912.385682e-08
0.751.5771792.392100e-08
0.7514751.5771392.458154e-08
0.7534021.5770882.544428e-08
0.7553341.5770372.630923e-08
0.757271.5769862.717640e-08
0.7592121.5769362.804579e-08
0.7611591.5768852.891741e-08
0.763111.5768352.979126e-08
0.7650671.5767853.066736e-08
0.7670281.5767353.154570e-08
0.7689951.5766853.242630e-08
0.7709671.5766353.330915e-08
0.7729431.5765863.419426e-08
0.7749251.5765363.508165e-08
0.7769121.5764873.597131e-08
0.7789041.5764383.686325e-08
0.781.5764113.735400e-08
0.7809011.5763893.768587e-08
0.7829031.576343.842328e-08
0.7849111.5762923.916258e-08
0.7869231.5762433.990378e-08
0.7889411.5761954.064688e-08
0.7909641.5761474.139189e-08
0.7929921.5760994.213880e-08
0.7950251.5760514.288763e-08
0.7970631.5760044.363838e-08
0.7991071.5759564.439105e-08
0.81.5759354.472000e-08
0.8011561.5759094.504099e-08
0.803211.5758614.561149e-08
0.8052691.5758144.618345e-08
0.8073341.5757674.675688e-08
0.8094041.575724.733179e-08
0.8114791.5756744.790816e-08
0.813561.5756274.848602e-08
0.8156461.575584.906535e-08
0.8177371.5755344.964617e-08
0.8198341.5754885.022848e-08
0.8219361.5754425.081228e-08
0.8240431.5753965.139758e-08
0.8261561.575355.198438e-08
0.8282741.5753045.257269e-08
0.831.5752675.305200e-08
0.8303981.5752595.307742e-08
0.8325271.5752135.321347e-08
0.8346621.5751685.334987e-08
0.8368021.5751235.348662e-08
0.8389471.5750785.362372e-08
0.8410981.5750335.376117e-08
0.8432551.5749885.389898e-08
0.8454171.5749435.403713e-08
0.8475841.5748985.417564e-08
0.8497581.5748545.431451e-08
0.851.5748495.433000e-08
0.8519361.5748095.473353e-08
0.8541211.5747655.518875e-08
0.8563111.5747215.564513e-08
0.8585061.5746775.610269e-08
0.8607071.5746335.656141e-08
0.8629141.5745895.702132e-08
0.8651271.5745455.748240e-08
0.8673451.5745015.794466e-08
0.8695691.5744575.840811e-08
0.8717981.5744145.887275e-08
0.8740331.574375.933858e-08
0.8762741.5743275.980560e-08
0.8785211.5742846.027382e-08
0.8807741.5742416.074324e-08
0.8830321.5741986.121386e-08
0.8852961.5741556.168570e-08
0.8875661.5741126.215874e-08
0.8898421.5740696.263299e-08
0.8921231.5740266.310846e-08
0.8944111.5739846.358515e-08
0.8967041.5739416.406306e-08
0.8990031.5738996.454220e-08
0.91.573886.475000e-08
0.9013081.5738566.484409e-08
0.9036191.5738146.501034e-08
0.9059361.5737726.517701e-08
0.9082581.573736.534411e-08
0.9105871.5736886.551164e-08
0.9129221.5736466.567960e-08
0.9152631.5736046.584799e-08
0.9176091.5735626.601681e-08
0.9199621.573526.618607e-08
0.9223211.5734786.635576e-08
0.9246861.5734376.652588e-08
0.9270561.5733956.669644e-08
0.9294331.5733546.686744e-08
0.9318161.5733126.703887e-08
0.9342061.5732716.721075e-08
0.9366011.5732296.738306e-08
0.9390021.5731886.755582e-08
0.941411.5731476.772902e-08
0.9438241.5731066.790267e-08
0.9462441.5730656.807676e-08
0.948671.5730246.825129e-08
0.951.5730016.834700e-08
0.9511021.5729836.842628e-08
0.9535411.5729426.860171e-08
0.9559851.5729016.877759e-08
0.9584371.572866.895393e-08
0.9608941.572826.913071e-08
0.9633581.5727796.930795e-08
0.9658281.5727386.948564e-08
0.9683041.5726986.966379e-08
0.9707871.5726576.984240e-08
0.9732761.5726177.002146e-08
0.9757711.5725767.020098e-08
0.9782731.5725367.038097e-08
0.9807811.5724957.056141e-08
0.9832961.5724557.074232e-08
0.9858171.5724157.092369e-08
0.9883451.5723747.110552e-08
0.9908791.5723347.128783e-08
0.9934191.5722947.147059e-08
0.9959671.5722547.165383e-08
0.998521.5722147.183754e-08
11.5721917.194400e-08
1.001081.5721747.202172e-08
1.003651.5721347.220637e-08
1.006221.5720947.239149e-08
1.00881.5720547.257709e-08
1.011391.5720147.276317e-08
1.013981.5719747.294972e-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
—