Optical constants

Refractive index of MC-BACD5N (HOYA)

MC-BACD5N: 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
1.58913
Extinction coefficient k
1.40486e-08
Permittivity ε1
2.52533
Permittivity ε2
4.46502e-08
Absorption coefficient α
0.00300443 cm⁻¹
Penetration depth δ = λ/(2πk)
6.65683e+09 nm
Abbe number Vd
61.251
Chromatic dispersion dn/dλ
-0.0498301 µm⁻¹
Group index ng
1.61841
Group velocity dispersion
85.0508 fs²/mm
Dispersion parameter D
-463.997 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-BACD5N (HOYA): MC-BACD5N
hoya_mc_bacd5n = ls.fetch_refractiveindex("specs", "HOYA-optical", "MC-BACD5N", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mc_bacd5n.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mc_bacd5n.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=2.48951−0.01224496⁢λ2.0+0.01294262⁢λ−2.0+0.0003490449⁢λ−4.0−1.777228×10-5⁢λ−6.0+9.113719×10-7⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.48951
C2-0.01224496
C32.0
C40.01294262
C5-2.0
C60.0003490449
C7-4.0
C8-1.777228e-05
C9-6.0
C109.113719e-07
C11-8.0

Comments and conditions

Preforms for Precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.33e-06 1.01e-08 -4.77e-11 6.07e-07 6.78e-10 8.15e-09
nd
1.58913
Vd
61.25
glass code
589613
glass status
standard
density
value: 2820
thermal expansion
value: 6.6e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
-0.0007
resistance
acid: 4.0; stain: 2.0; climatic: 2.0

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-BACD5N (HOYA), MC-BACD5N: n and k versus wavelength
λ (µm)nk
0.365011.6124718.072942e-08
0.3659461.612277.674485e-08
0.3668841.612077.275006e-08
0.3678251.6118716.874502e-08
0.3687681.6116736.472972e-08
0.3697131.6114776.070412e-08
0.371.6114175.948400e-08
0.3706611.6112815.796440e-08
0.3716121.6110875.578075e-08
0.3725651.6108945.359150e-08
0.373521.6107025.139663e-08
0.3744771.6105124.919614e-08
0.3754381.6103224.699001e-08
0.37641.6101344.477822e-08
0.3773651.6099464.256076e-08
0.3783331.609764.033762e-08
0.3793031.6095753.810877e-08
0.381.6094433.650700e-08
0.3802751.6093913.618811e-08
0.381251.6092083.505915e-08
0.3822281.6090263.392728e-08
0.3832081.6088453.279252e-08
0.384191.6086653.165484e-08
0.3851761.6084863.051425e-08
0.3861631.6083082.937074e-08
0.3871531.6081322.822429e-08
0.3881461.6079562.707490e-08
0.3891411.6077812.592257e-08
0.391.6076322.492800e-08
0.3901391.6076082.480345e-08
0.3911391.6074352.390588e-08
0.3921421.6072632.300600e-08
0.3931471.6070932.210382e-08
0.3941551.6069232.119933e-08
0.3951661.6067542.029252e-08
0.3961791.6065871.938338e-08
0.3971951.606421.847191e-08
0.3982131.6062541.755810e-08
0.3992341.6060891.664196e-08
0.41.6059671.595500e-08
0.4002581.6059251.596530e-08
0.4012841.6057621.600624e-08
0.4023131.60561.604730e-08
0.4033451.6054391.608845e-08
0.4043791.6052791.612972e-08
0.4054161.605121.617109e-08
0.4064551.6049611.621256e-08
0.4074971.6048041.625414e-08
0.4085421.6046471.629583e-08
0.409591.6044911.633762e-08
0.410641.6043361.637953e-08
0.4116931.6041821.642154e-08
0.4127481.6040291.646365e-08
0.4138061.6038771.650588e-08
0.4148671.6037261.654821e-08
0.4159311.6035751.659065e-08
0.4169981.6034251.663320e-08
0.4180671.6032761.667586e-08
0.4191391.6031281.671863e-08
0.421.603011.675300e-08
0.4202131.6029811.668652e-08
0.4212911.6028351.635074e-08
0.4223711.6026891.601411e-08
0.4234541.6025441.567661e-08
0.424541.60241.533824e-08
0.4256281.6022571.499901e-08
0.4267191.6021151.465891e-08
0.4278131.6019731.431793e-08
0.428911.6018321.397608e-08
0.430011.6016921.363336e-08
0.4311131.6015531.328975e-08
0.4322181.6014141.294527e-08
0.4333261.6012771.259990e-08
0.4344371.601141.225365e-08
0.4355511.6010031.190651e-08
0.4366681.6008681.155847e-08
0.4377871.6007331.120955e-08
0.438911.6005991.085973e-08
0.441.600471.052000e-08
0.4400351.6004661.051438e-08
0.4411631.6003331.033434e-08
0.4422951.6002011.015384e-08
0.4434291.600079.972875e-09
0.4445661.599949.791448e-09
0.4457051.599819.609556e-09
0.4468481.5996819.427198e-09
0.4479941.5995539.244372e-09
0.4491431.5994259.061078e-09
0.4502941.5992988.877313e-09
0.4514491.5991728.693078e-09
0.4526061.5990468.508370e-09
0.4537671.5989228.323188e-09
0.454931.5987978.137532e-09
0.4560971.5986747.951399e-09
0.4572661.5985517.764790e-09
0.4584381.5984297.577702e-09
0.4596141.5983077.390134e-09
0.461.5982677.328500e-09
0.4607921.5981867.492782e-09
0.4619741.5980667.737786e-09
0.4631581.5979467.983419e-09
0.4643461.5978278.229681e-09
0.4655361.5977098.476575e-09
0.466731.5975918.724102e-09
0.4679271.5974748.972264e-09
0.4691261.5973589.221061e-09
0.4703291.5972429.470497e-09
0.4715351.5971279.720572e-09
0.4727441.5970129.971289e-09
0.4739561.5968981.022265e-08
0.4751711.5967841.047465e-08
0.476391.5966721.072730e-08
0.4776111.5965591.098060e-08
0.4788361.5964481.123455e-08
0.481.5963421.147600e-08
0.4800631.5963371.147752e-08
0.4812941.5962261.150700e-08
0.4825281.5961161.153655e-08
0.4837651.5960071.156618e-08
0.4850061.5958981.159589e-08
0.4862491.595791.162567e-08
0.4874961.5956821.165553e-08
0.4887461.5955751.168547e-08
0.4899991.5954691.171548e-08
0.4912551.5953631.174557e-08
0.4925151.5952571.177574e-08
0.4937781.5951521.180598e-08
0.4950441.5950481.183630e-08
0.4963131.5949441.186670e-08
0.4975861.5948411.189718e-08
0.4988611.5947381.192773e-08
0.51.5946471.195500e-08
0.5001411.5946361.195836e-08
0.5014231.5945341.198901e-08
0.5027091.5944331.201973e-08
0.5039971.5943331.205054e-08
0.505291.5942321.208142e-08
0.5065851.5941331.211239e-08
0.5078841.5940341.214343e-08
0.5091861.5939351.217455e-08
0.5104921.5938371.220575e-08
0.5118011.5937391.223704e-08
0.5131131.5936421.226840e-08
0.5144291.5935461.229984e-08
0.5157481.5934491.233137e-08
0.517071.5933541.236297e-08
0.5183961.5932591.239466e-08
0.5197251.5931641.242642e-08
0.5210571.593071.245827e-08
0.5223931.5929761.249020e-08
0.5237331.5928831.252221e-08
0.5250761.592791.255431e-08
0.5264221.5926971.258648e-08
0.5277721.5926061.261874e-08
0.5291251.5925141.265108e-08
0.5304811.5924231.268351e-08
0.5318421.5923331.271601e-08
0.5332051.5922431.274860e-08
0.5345721.5921531.278128e-08
0.5359431.5920641.281404e-08
0.5373171.5919751.284688e-08
0.5386951.5918871.287980e-08
0.5400761.5917991.291281e-08
0.5414611.5917111.294591e-08
0.5428491.5916241.297909e-08
0.5442411.5915381.301235e-08
0.5456361.5914511.304571e-08
0.5470351.5913661.307914e-08
0.5484381.591281.311266e-08
0.5498441.5911951.314627e-08
0.551.5911861.315000e-08
0.5512541.5911111.317996e-08
0.5526671.5910271.321374e-08
0.5540841.5909431.324761e-08
0.5555051.590861.328156e-08
0.5569291.5907771.331561e-08
0.5583571.5906941.334973e-08
0.5597891.5906121.338395e-08
0.5612241.590531.341825e-08
0.5626631.5904491.345264e-08
0.5641061.5903681.348712e-08
0.5655521.5902871.352169e-08
0.5670021.5902071.355635e-08
0.5684561.5901271.359109e-08
0.5699131.5900481.362593e-08
0.5713741.5899691.366085e-08
0.5728391.589891.369586e-08
0.5743081.5898121.373097e-08
0.5757811.5897341.376616e-08
0.5772571.5896561.380144e-08
0.5787371.5895791.383682e-08
0.5802211.5895021.387228e-08
0.5817091.5894261.390784e-08
0.58321.5893491.394348e-08
0.5846951.5892741.397922e-08
0.5861951.5891981.401505e-08
0.5876971.5891231.405097e-08
0.5892041.5890481.408698e-08
0.5907151.5889741.412309e-08
0.592231.58891.415929e-08
0.5937481.5888261.419558e-08
0.595271.5887531.423196e-08
0.5967971.5886791.426844e-08
0.5983271.5886071.430501e-08
0.5998611.5885341.434168e-08
0.61.5885281.434500e-08
0.6013991.5884621.437846e-08
0.6029411.588391.441535e-08
0.6044871.5883191.445233e-08
0.6060371.5882481.448940e-08
0.6075911.5881771.452657e-08
0.6091481.5881061.456383e-08
0.610711.5880361.460119e-08
0.6122761.5879661.463864e-08
0.6138461.5878971.467620e-08
0.615421.5878271.471384e-08
0.6169981.5877581.475159e-08
0.618581.587691.478943e-08
0.6201661.5876211.482736e-08
0.6217561.5875531.486540e-08
0.623351.5874851.490353e-08
0.6249481.5874181.494176e-08
0.6265511.5873511.498009e-08
0.6281571.5872841.501852e-08
0.6297681.5872171.505704e-08
0.6313821.5871511.509566e-08
0.6330011.5870851.513439e-08
0.6346241.5870191.517321e-08
0.6362511.5869531.521213e-08
0.6378831.5868881.525115e-08
0.6395181.5868231.529027e-08
0.6411581.5867581.532950e-08
0.6428021.5866941.536882e-08
0.644451.586631.540824e-08
0.6461021.5865661.544777e-08
0.6477591.5865021.548739e-08
0.649421.5864391.552712e-08
0.651.5864171.554100e-08
0.6510851.5863761.556692e-08
0.6527541.5863131.560682e-08
0.6544281.586251.564682e-08
0.6561061.5861881.568693e-08
0.6577881.5861261.572713e-08
0.6594741.5860641.576744e-08
0.6611651.5860021.580785e-08
0.6628611.5859411.584837e-08
0.664561.585881.588899e-08
0.6662641.5858191.592971e-08
0.6679721.5857581.597054e-08
0.6696851.5856981.601147e-08
0.6714021.5856381.605251e-08
0.6731231.5855781.609365e-08
0.6748491.5855181.613490e-08
0.676581.5854591.617625e-08
0.6783141.58541.621771e-08
0.6800531.5853411.625928e-08
0.6817971.5852821.630095e-08
0.6835451.5852231.634273e-08
0.6852981.5851651.638462e-08
0.6870551.5851071.642661e-08
0.6888161.5850491.646871e-08
0.6905831.5849911.651092e-08
0.6923531.5849341.655324e-08
0.6941281.5848771.659567e-08
0.6959081.584821.663820e-08
0.6976921.5847631.668085e-08
0.6994811.5847061.672360e-08
0.71.584691.673600e-08
0.7012751.584651.691917e-08
0.7030731.5845941.717755e-08
0.7048751.5845381.743659e-08
0.7066831.5844821.769630e-08
0.7084951.5844261.795667e-08
0.7103111.5843711.821771e-08
0.7121321.5843161.847942e-08
0.7139581.5842611.874180e-08
0.7157891.5842061.900485e-08
0.7176241.5841511.926858e-08
0.7194641.5840971.953298e-08
0.7213091.5840431.979806e-08
0.7231581.5839882.006382e-08
0.7250121.5839352.033026e-08
0.7268711.5838812.059739e-08
0.7287351.5838272.086520e-08
0.7306031.5837742.113370e-08
0.7324771.5837212.140288e-08
0.7343551.5836682.167276e-08
0.7362371.5836152.194332e-08
0.7381251.5835632.221458e-08
0.7400181.583512.248654e-08
0.7419151.5834582.275919e-08
0.7438171.5834062.303255e-08
0.7457241.5833542.330660e-08
0.7476361.5833022.358136e-08
0.7495531.583252.385682e-08
0.751.5832382.392100e-08
0.7514751.5831992.458154e-08
0.7534021.5831482.544428e-08
0.7553341.5830962.630923e-08
0.757271.5830452.717640e-08
0.7592121.5829952.804579e-08
0.7611591.5829442.891741e-08
0.763111.5828932.979126e-08
0.7650671.5828433.066736e-08
0.7670281.5827933.154570e-08
0.7689951.5827433.242630e-08
0.7709671.5826933.330915e-08
0.7729431.5826433.419426e-08
0.7749251.5825943.508165e-08
0.7769121.5825443.597131e-08
0.7789041.5824953.686325e-08
0.781.5824683.735400e-08
0.7809011.5824463.768587e-08
0.7829031.5823963.842328e-08
0.7849111.5823483.916258e-08
0.7869231.5822993.990378e-08
0.7889411.582254.064688e-08
0.7909641.5822024.139189e-08
0.7929921.5821534.213880e-08
0.7950251.5821054.288763e-08
0.7970631.5820574.363838e-08
0.7991071.5820094.439105e-08
0.81.5819884.472000e-08
0.8011561.5819614.504099e-08
0.803211.5819134.561149e-08
0.8052691.5818664.618345e-08
0.8073341.5818184.675688e-08
0.8094041.5817714.733179e-08
0.8114791.5817234.790816e-08
0.813561.5816764.848602e-08
0.8156461.5816294.906535e-08
0.8177371.5815824.964617e-08
0.8198341.5815365.022848e-08
0.8219361.5814895.081228e-08
0.8240431.5814425.139758e-08
0.8261561.5813965.198438e-08
0.8282741.5813495.257269e-08
0.831.5813125.305200e-08
0.8303981.5813035.307742e-08
0.8325271.5812575.321347e-08
0.8346621.5812115.334987e-08
0.8368021.5811655.348662e-08
0.8389471.5811195.362372e-08
0.8410981.5810735.376117e-08
0.8432551.5810285.389898e-08
0.8454171.5809825.403713e-08
0.8475841.5809375.417564e-08
0.8497581.5808915.431451e-08
0.851.5808865.433000e-08
0.8519361.5808465.445377e-08
0.8541211.5808015.459339e-08
0.8563111.5807565.473337e-08
0.8585061.5807115.487371e-08
0.8607071.5806665.501441e-08
0.8629141.5806215.515547e-08
0.8651271.5805765.529690e-08
0.8673451.5805325.543868e-08
0.8695691.5804875.558083e-08
0.8717981.5804435.572334e-08
0.8740331.5803985.586622e-08
0.8762741.5803545.600946e-08
0.8785211.580315.615308e-08
0.8807741.5802655.629706e-08
0.8830321.5802215.644140e-08
0.8852961.5801775.658612e-08
0.8875661.5801335.673121e-08
0.8898421.580095.687668e-08
0.8921231.5800465.702251e-08
0.8944111.5800025.716872e-08
0.8967041.5799585.731530e-08
0.8990031.5799155.746226e-08
0.91.5798965.752600e-08
0.9013081.5798715.780905e-08
0.9036191.5798285.830918e-08
0.9059361.5797845.881059e-08
0.9082581.5797415.931329e-08
0.9105871.5796985.981728e-08
0.9129221.5796546.032256e-08
0.9152631.5796116.082913e-08
0.9176091.5795686.133701e-08
0.9199621.5795256.184618e-08
0.9223211.5794826.235666e-08
0.9246861.5794396.286845e-08
0.9270561.5793966.338156e-08
0.9294331.5793536.389597e-08
0.9318161.579316.441171e-08
0.9342061.5792686.492877e-08
0.9366011.5792256.544715e-08
0.9390021.5791826.596687e-08
0.941411.579146.648791e-08
0.9438241.5790976.701030e-08
0.9462441.5790556.753402e-08
0.948671.5790126.805908e-08
0.951.5789896.834700e-08
0.9511021.578976.842628e-08
0.9535411.5789276.860171e-08
0.9559851.5788856.877759e-08
0.9584371.5788426.895393e-08
0.9608941.57886.913071e-08
0.9633581.5787586.930795e-08
0.9658281.5787166.948564e-08
0.9683041.5786736.966379e-08
0.9707871.5786316.984240e-08
0.9732761.5785897.002146e-08
0.9757711.5785477.020098e-08
0.9782731.5785057.038097e-08
0.9807811.5784637.056141e-08
0.9832961.5784217.074232e-08
0.9858171.5783797.092369e-08
0.9883451.5783377.110552e-08
0.9908791.5782957.128783e-08
0.9934191.5782537.147059e-08
0.9959671.5782117.165383e-08
0.998521.5781697.183754e-08
11.5781447.194400e-08
1.001081.5781277.202172e-08
1.003651.5780857.220637e-08
1.006221.5780437.239149e-08
1.00881.5780017.257709e-08
1.011391.5779597.276317e-08
1.013981.5779177.294972e-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
—