Optical constants

Refractive index of MP-BACD5N (HOYA)

MP-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
4.67830e-09
Permittivity ε1
2.52533
Permittivity ε2
1.48688e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 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

# MP-BACD5N (HOYA): MP-BACD5N
hoya_mp_bacd5n = ls.fetch_refractiveindex("specs", "HOYA-optical", "MP-BACD5N", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mp_bacd5n.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mp_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
MP-BACD5N (HOYA), MP-BACD5N: n and k versus wavelength
λ (µm)nk
0.365011.6124711.212486e-07
0.3659461.612271.141910e-07
0.3668841.612071.071153e-07
0.3678251.6118711.000214e-07
0.3687681.6116739.290939e-08
0.3697131.6114778.577911e-08
0.371.6114178.361800e-08
0.3706611.6112818.131356e-08
0.3716121.6110877.800211e-08
0.3725651.6108947.468218e-08
0.373521.6107027.135373e-08
0.3744771.6105126.801674e-08
0.3754381.6103226.467120e-08
0.37641.6101346.131709e-08
0.3773651.6099465.795437e-08
0.3783331.609765.458303e-08
0.3793031.6095755.120305e-08
0.381.6094434.877400e-08
0.3802751.6093914.828976e-08
0.381251.6092084.657540e-08
0.3822281.6090264.485664e-08
0.3832081.6088454.313347e-08
0.384191.6086654.140588e-08
0.3851761.6084863.967386e-08
0.3861631.6083083.793741e-08
0.3871531.6081323.619650e-08
0.3881461.6079563.445112e-08
0.3891411.6077813.270127e-08
0.391.6076323.119100e-08
0.3901391.6076083.102395e-08
0.3911391.6074352.982008e-08
0.3921421.6072632.861313e-08
0.3931471.6070932.740309e-08
0.3941551.6069232.618994e-08
0.3951661.6067542.497368e-08
0.3961791.6065872.375430e-08
0.3971951.606422.253180e-08
0.3982131.6062542.130616e-08
0.3992341.6060892.007738e-08
0.41.6059671.915600e-08
0.4002581.6059251.908168e-08
0.4012841.6057621.878612e-08
0.4023131.60561.848981e-08
0.4033451.6054391.819273e-08
0.4043791.6052791.789489e-08
0.4054161.605121.759629e-08
0.4064551.6049611.729692e-08
0.4074971.6048041.699678e-08
0.4085421.6046471.669588e-08
0.409591.6044911.639420e-08
0.410641.6043361.609175e-08
0.4116931.6041821.578853e-08
0.4127481.6040291.548452e-08
0.4138061.6038771.517974e-08
0.4148671.6037261.487418e-08
0.4159311.6035751.456783e-08
0.4169981.6034251.426070e-08
0.4180671.6032761.395278e-08
0.4191391.6031281.364407e-08
0.421.603011.339600e-08
0.4202131.6029811.336533e-08
0.4212911.6028351.321039e-08
0.4223711.6026891.305506e-08
0.4234541.6025441.289934e-08
0.424541.60241.274321e-08
0.4256281.6022571.258668e-08
0.4267191.6021151.242975e-08
0.4278131.6019731.227242e-08
0.428911.6018321.211469e-08
0.430011.6016921.195655e-08
0.4311131.6015531.179801e-08
0.4322181.6014141.163906e-08
0.4333261.6012771.147970e-08
0.4344371.601141.131993e-08
0.4355511.6010031.115975e-08
0.4366681.6008681.099917e-08
0.4377871.6007331.083817e-08
0.438911.6005991.067676e-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
0.4607921.5981867.189592e-09
0.4619741.5980666.982430e-09
0.4631581.5979466.774736e-09
0.4643461.5978276.566510e-09
0.4655361.5977096.357750e-09
0.466731.5975916.148455e-09
0.4679271.5974745.938623e-09
0.4691261.5973585.728253e-09
0.4703291.5972425.517344e-09
0.4715351.5971275.305894e-09
0.4727441.5970125.093902e-09
0.4739561.5968984.881366e-09
0.4751711.5967844.668285e-09
0.476391.5966724.454658e-09
0.4776111.5965594.240484e-09
0.4788361.5964484.025760e-09
0.481.5963423.821600e-09
0.4800631.5963373.822105e-09
0.4812941.5962263.831909e-09
0.4825281.5961163.841738e-09
0.4837651.5960073.851592e-09
0.4850061.5958983.861471e-09
0.4862491.595793.871376e-09
0.4874961.5956823.881306e-09
0.4887461.5955753.891262e-09
0.4899991.5954693.901243e-09
0.4912551.5953633.911250e-09
0.4925151.5952573.921282e-09
0.4937781.5951523.931340e-09
0.4950441.5950483.941424e-09
0.4963131.5949443.951534e-09
0.4975861.5948413.961670e-09
0.4988611.5947383.971832e-09
0.51.5946473.980900e-09
0.5001411.5946363.982019e-09
0.5014231.5945343.992229e-09
0.5027091.5944334.002465e-09
0.5039971.5943334.012728e-09
0.505291.5942324.023016e-09
0.5065851.5941334.033332e-09
0.5078841.5940344.043673e-09
0.5091861.5939354.054041e-09
0.5104921.5938374.064436e-09
0.5118011.5937394.074857e-09
0.5131131.5936424.085305e-09
0.5144291.5935464.095780e-09
0.5157481.5934494.106282e-09
0.517071.5933544.116810e-09
0.5183961.5932594.127366e-09
0.5197251.5931644.137949e-09
0.5210571.593074.148559e-09
0.5223931.5929764.159196e-09
0.5237331.5928834.169860e-09
0.5250761.592794.180552e-09
0.5264221.5926974.191271e-09
0.5277721.5926064.202017e-09
0.5291251.5925144.212791e-09
0.5304811.5924234.223593e-09
0.5318421.5923334.234422e-09
0.5332051.5922434.245280e-09
0.5345721.5921534.256165e-09
0.5359431.5920644.267077e-09
0.5373171.5919754.278018e-09
0.5386951.5918874.288987e-09
0.5400761.5917994.299984e-09
0.5414611.5917114.311010e-09
0.5428491.5916244.322063e-09
0.5442411.5915384.333145e-09
0.5456361.5914514.344255e-09
0.5470351.5913664.355394e-09
0.5484381.591284.366562e-09
0.5498441.5911954.377758e-09
0.551.5911864.379000e-09
0.5512541.5911114.388980e-09
0.5526671.5910274.400230e-09
0.5540841.5909434.411510e-09
0.5555051.590864.422818e-09
0.5569291.5907774.434156e-09
0.5583571.5906944.445522e-09
0.5597891.5906124.456918e-09
0.5612241.590534.468343e-09
0.5626631.5904494.479797e-09
0.5641061.5903684.491280e-09
0.5655521.5902874.502793e-09
0.5670021.5902074.514336e-09
0.5684561.5901274.525908e-09
0.5699131.5900484.537509e-09
0.5713741.5899694.549141e-09
0.5728391.589894.560802e-09
0.5743081.5898124.572493e-09
0.5757811.5897344.584214e-09
0.5772571.5896564.595966e-09
0.5787371.5895794.607747e-09
0.5802211.5895024.619558e-09
0.5817091.5894264.631400e-09
0.58321.5893494.643272e-09
0.5846951.5892744.655175e-09
0.5861951.5891984.667108e-09
0.5876971.5891234.679072e-09
0.5892041.5890484.691066e-09
0.5907151.5889744.703092e-09
0.592231.58894.715148e-09
0.5937481.5888264.727235e-09
0.595271.5887534.739352e-09
0.5967971.5886794.751501e-09
0.5983271.5886074.763682e-09
0.5998611.5885344.775893e-09
0.61.5885284.777000e-09
0.6013991.5884624.788138e-09
0.6029411.588394.800416e-09
0.6044871.5883194.812724e-09
0.6060371.5882484.825064e-09
0.6075911.5881774.837436e-09
0.6091481.5881064.849840e-09
0.610711.5880364.862275e-09
0.6122761.5879664.874742e-09
0.6138461.5878974.887241e-09
0.615421.5878274.899773e-09
0.6169981.5877584.912336e-09
0.618581.587694.924932e-09
0.6201661.5876214.937560e-09
0.6217561.5875534.950220e-09
0.623351.5874854.962913e-09
0.6249481.5874184.975638e-09
0.6265511.5873514.988396e-09
0.6281571.5872845.001186e-09
0.6297681.5872175.014010e-09
0.6313821.5871515.026866e-09
0.6330011.5870855.039755e-09
0.6346241.5870195.052677e-09
0.6362511.5869535.065633e-09
0.6378831.5868885.078621e-09
0.6395181.5868235.091643e-09
0.6411581.5867585.104699e-09
0.6428021.5866945.117788e-09
0.644451.586635.130910e-09
0.6461021.5865665.144066e-09
0.6477591.5865025.157256e-09
0.649421.5864395.170479e-09
0.651.5864175.175100e-09
0.6510851.5863765.183737e-09
0.6527541.5863135.197028e-09
0.6544281.586255.210354e-09
0.6561061.5861885.223713e-09
0.6577881.5861265.237107e-09
0.6594741.5860645.250535e-09
0.6611651.5860025.263998e-09
0.6628611.5859415.277495e-09
0.664561.585885.291027e-09
0.6662641.5858195.304594e-09
0.6679721.5857585.318195e-09
0.6696851.5856985.331831e-09
0.6714021.5856385.345502e-09
0.6731231.5855785.359209e-09
0.6748491.5855185.372950e-09
0.676581.5854595.386727e-09
0.6783141.58545.400539e-09
0.6800531.5853415.414386e-09
0.6817971.5852825.428269e-09
0.6835451.5852235.442187e-09
0.6852981.5851655.456141e-09
0.6870551.5851075.470131e-09
0.6888161.5850495.484157e-09
0.6905831.5849915.498219e-09
0.6923531.5849345.512316e-09
0.6941281.5848775.526450e-09
0.6959081.584825.540620e-09
0.6976921.5847635.554827e-09
0.6994811.5847065.569070e-09
0.71.584695.573200e-09
0.7012751.584656.040958e-09
0.7030731.5845946.700762e-09
0.7048751.5845387.362257e-09
0.7066831.5844828.025449e-09
0.7084951.5844268.690340e-09
0.7103111.5843719.356937e-09
0.7121321.5843161.002524e-08
0.7139581.5842611.069526e-08
0.7157891.5842061.136700e-08
0.7176241.5841511.204046e-08
0.7194641.5840971.271564e-08
0.7213091.5840431.339256e-08
0.7231581.5839881.407121e-08
0.7250121.5839351.475161e-08
0.7268711.5838811.543374e-08
0.7287351.5838271.611763e-08
0.7306031.5837741.680327e-08
0.7324771.5837211.749067e-08
0.7343551.5836681.817983e-08
0.7362371.5836151.887076e-08
0.7381251.5835631.956345e-08
0.7400181.583512.025793e-08
0.7419151.5834582.095418e-08
0.7438171.5834062.165223e-08
0.7457241.5833542.235206e-08
0.7476361.5833022.305368e-08
0.7495531.583252.375710e-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
—