Optical constants

Refractive index of MC-LAC130 (HOYA)

MC-LAC130: 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
1.6935
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.86793
Permittivity ε2
2.80250e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
53.201
Chromatic dispersion dn/dλ
-0.0672317 µm⁻¹
Group index ng
1.733
Group velocity dispersion
118.776 fs²/mm
Dispersion parameter D
-647.986 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-LAC130 (HOYA): MC-LAC130
hoya_mc_lac130 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MC-LAC130", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mc_lac130.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mc_lac130.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=2.813412−0.01332448⁢λ2.0+0.01927865⁢λ−2.0+0.0004124452⁢λ−4.0−9.940432×10-6⁢λ−6.0+9.622024×10-7⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.813412
C2-0.01332448
C32.0
C40.01927865
C5-2.0
C60.0004124452
C7-4.0
C8-9.940432e-06
C9-6.0
C109.622024e-07
C11-8.0

Comments and conditions

Preforms for Precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 3.06e-06 7.53e-09 -3.42e-11 7.88e-07 1.05e-09 4.45e-10
nd
1.69350
Vd
53.20
glass code
694532
glass status
standard
density
value: 3520
thermal expansion
value: 6.5e-06, temperature range: 243 343; value: 8.6e-06, temperature range: 293 573
dPgF
-0.0059
resistance
acid: 4.0; stain: 4.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.76e-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-LAC130 (HOYA), MC-LAC130: n and k versus wavelength
λ (µm)nk
0.365011.7258112.419614e-07
0.3659461.7255262.289902e-07
0.3668841.7252432.159857e-07
0.3678251.7249622.029479e-07
0.3687681.7246821.898767e-07
0.3697131.7244051.767719e-07
0.371.7243211.728000e-07
0.3706611.7241291.682895e-07
0.3716121.7238551.618081e-07
0.3725651.7235821.553100e-07
0.373521.7233121.487952e-07
0.3744771.7230431.422637e-07
0.3754381.7227751.357155e-07
0.37641.722511.291505e-07
0.3773651.7222461.225687e-07
0.3783331.7219831.159700e-07
0.3793031.7217231.093544e-07
0.381.7215371.046000e-07
0.3802751.7214641.034461e-07
0.381251.7212069.936077e-08
0.3822281.720959.526499e-08
0.3832081.7206969.115870e-08
0.384191.7204438.704189e-08
0.3851761.7201928.291452e-08
0.3861631.7199427.877657e-08
0.3871531.7196947.462801e-08
0.3881461.7194487.046882e-08
0.3891411.7192036.629896e-08
0.391.7189936.270000e-08
0.3901391.7189596.240784e-08
0.3911391.7187176.030241e-08
0.3921421.7184765.819157e-08
0.3931471.7182375.607532e-08
0.3941551.7179995.395365e-08
0.3951661.7177635.182653e-08
0.3961791.7175284.969396e-08
0.3971951.7172954.755593e-08
0.3982131.7170634.541241e-08
0.3992341.7168324.326340e-08
0.41.7166614.165200e-08
0.4002581.7166034.150445e-08
0.4012841.7163754.091764e-08
0.4023131.7161494.032933e-08
0.4033451.7159243.973951e-08
0.4043791.71573.914817e-08
0.4054161.7154773.855532e-08
0.4064551.7152563.796095e-08
0.4074971.7150373.736506e-08
0.4085421.7148183.676764e-08
0.409591.7146013.616868e-08
0.410641.7143853.556819e-08
0.4116931.714173.496616e-08
0.4127481.7139573.436259e-08
0.4138061.7137453.375747e-08
0.4148671.7135343.315080e-08
0.4159311.7133243.254257e-08
0.4169981.7131163.193278e-08
0.4180671.7129093.132143e-08
0.4191391.7127033.070851e-08
0.421.7125393.021600e-08
0.4202131.7124983.011847e-08
0.4212911.7122952.962588e-08
0.4223711.7120922.913202e-08
0.4234541.7118912.863690e-08
0.424541.7116912.814051e-08
0.4256281.7114922.764284e-08
0.4267191.7112942.714390e-08
0.4278131.7110982.664368e-08
0.428911.7109022.614218e-08
0.430011.7107082.563939e-08
0.4311131.7105152.513531e-08
0.4322181.7103232.462994e-08
0.4333261.7101322.412328e-08
0.4344371.7099422.361531e-08
0.4355511.7097532.310605e-08
0.4366681.7095662.259547e-08
0.4377871.7093792.208359e-08
0.438911.7091932.157040e-08
0.441.7090152.107200e-08
0.4400351.7090092.106072e-08
0.4411631.7088262.069969e-08
0.4422951.7086432.033772e-08
0.4434291.7084621.997484e-08
0.4445661.7082811.961102e-08
0.4457051.7081021.924626e-08
0.4468481.7079241.888058e-08
0.4479941.7077471.851395e-08
0.4491431.707571.814638e-08
0.4502941.7073951.777788e-08
0.4514491.7072211.740842e-08
0.4526061.7070471.703802e-08
0.4537671.7068751.666667e-08
0.454931.7067041.629437e-08
0.4560971.7065331.592112e-08
0.4572661.7063641.554690e-08
0.4584381.7061951.517173e-08
0.4596141.7060281.479560e-08
0.461.7059731.467200e-08
0.4607921.7058611.454541e-08
0.4619741.7056951.435661e-08
0.4631581.7055311.416733e-08
0.4643461.7053671.397756e-08
0.4655361.7052041.378731e-08
0.466731.7050421.359657e-08
0.4679271.7048811.340534e-08
0.4691261.704721.321362e-08
0.4703291.7045611.302141e-08
0.4715351.7044021.282871e-08
0.4727441.7042451.263551e-08
0.4739561.7040881.244181e-08
0.4751711.7039321.224762e-08
0.476391.7037771.205294e-08
0.4776111.7036231.185775e-08
0.4788361.7034691.166206e-08
0.481.7033251.147600e-08
0.4800631.7033171.145225e-08
0.4812941.7031651.099097e-08
0.4825281.7030141.052852e-08
0.4837651.7028641.006487e-08
0.4850061.7027159.600043e-09
0.4862491.7025679.134021e-09
0.4874961.7024198.666803e-09
0.4887461.7022728.198388e-09
0.4899991.7021267.728772e-09
0.4912551.7019817.257951e-09
0.4925151.7018366.785924e-09
0.4937781.7016936.312686e-09
0.4950441.701555.838235e-09
0.4963131.7014085.362567e-09
0.4975861.7012664.885680e-09
0.4988611.7011264.407570e-09
0.51.7010013.980900e-09
0.5001411.7009863.982019e-09
0.5014231.7008473.992229e-09
0.5027091.7007084.002465e-09
0.5039971.7005714.012728e-09
0.505291.7004344.023016e-09
0.5065851.7002984.033332e-09
0.5078841.7001624.043673e-09
0.5091861.7000274.054041e-09
0.5104921.6998934.064436e-09
0.5118011.699764.074857e-09
0.5131131.6996274.085305e-09
0.5144291.6994954.095780e-09
0.5157481.6993644.106282e-09
0.517071.6992344.116810e-09
0.5183961.6991044.127366e-09
0.5197251.6989754.137949e-09
0.5210571.6988464.148559e-09
0.5223931.6987184.159196e-09
0.5237331.6985914.169860e-09
0.5250761.6984654.180552e-09
0.5264221.6983394.191271e-09
0.5277721.6982134.202017e-09
0.5291251.6980894.212791e-09
0.5304811.6979654.223593e-09
0.5318421.6978424.234422e-09
0.5332051.6977194.245280e-09
0.5345721.6975974.256165e-09
0.5359431.6974764.267077e-09
0.5373171.6973554.278018e-09
0.5386951.6972354.288987e-09
0.5400761.6971154.299984e-09
0.5414611.6969964.311010e-09
0.5428491.6968784.322063e-09
0.5442411.696764.333145e-09
0.5456361.6966434.344255e-09
0.5470351.6965274.355394e-09
0.5484381.6964114.366562e-09
0.5498441.6962964.377758e-09
0.551.6962834.379000e-09
0.5512541.6961814.508884e-09
0.5526671.6960674.655309e-09
0.5540841.6959534.802110e-09
0.5555051.695844.949286e-09
0.5569291.6957285.096841e-09
0.5583571.6956165.244773e-09
0.5597891.6955045.393085e-09
0.5612241.6953945.541777e-09
0.5626631.6952835.690851e-09
0.5641061.6951745.840306e-09
0.5655521.6950655.990145e-09
0.5670021.6949566.140368e-09
0.5684561.6948486.290976e-09
0.5699131.6947416.441970e-09
0.5713741.6946346.593352e-09
0.5728391.6945276.745121e-09
0.5743081.6944216.897280e-09
0.5757811.6943167.049829e-09
0.5772571.6942117.202769e-09
0.5787371.6941067.356101e-09
0.5802211.6940037.509826e-09
0.5817091.6938997.663945e-09
0.58321.6937967.818460e-09
0.5846951.6936947.973371e-09
0.5861951.6935928.128679e-09
0.5876971.6934918.284385e-09
0.5892041.693398.440490e-09
0.5907151.6932898.596996e-09
0.592231.693198.753902e-09
0.5937481.693098.911212e-09
0.595271.6929919.068924e-09
0.5967971.6928939.227041e-09
0.5983271.6927959.385563e-09
0.5998611.6926979.544492e-09
0.61.6926889.558900e-09
0.6013991.69269.436246e-09
0.6029411.6925039.301052e-09
0.6044871.6924079.165512e-09
0.6060371.6923119.029625e-09
0.6075911.6922168.893389e-09
0.6091481.6921218.756803e-09
0.610711.6920278.619868e-09
0.6122761.6919338.482581e-09
0.6138461.691848.344942e-09
0.615421.6917478.206951e-09
0.6169981.6916548.068605e-09
0.618581.6915627.929905e-09
0.6201661.691477.790849e-09
0.6217561.6913797.651437e-09
0.623351.6912887.511667e-09
0.6249481.6911977.371539e-09
0.6265511.6911077.231052e-09
0.6281571.6910177.090204e-09
0.6297681.6909286.948996e-09
0.6313821.6908396.807425e-09
0.6330011.6907516.665491e-09
0.6346241.6906636.523194e-09
0.6362511.6905756.380531e-09
0.6378831.6904886.237503e-09
0.6395181.6904016.094108e-09
0.6411581.6903145.950345e-09
0.6428021.6902285.806214e-09
0.644451.6901435.661713e-09
0.6461021.6900575.516842e-09
0.6477591.6899725.371599e-09
0.649421.6898885.225984e-09
0.651.6898585.175100e-09
0.6510851.6898045.183737e-09
0.6527541.689725.197028e-09
0.6544281.6896365.210354e-09
0.6561061.6895535.223713e-09
0.6577881.689475.237107e-09
0.6594741.6893885.250535e-09
0.6611651.6893065.263998e-09
0.6628611.6892245.277495e-09
0.664561.6891435.291027e-09
0.6662641.6890625.304594e-09
0.6679721.6889815.318195e-09
0.6696851.6889015.331831e-09
0.6714021.6888215.345502e-09
0.6731231.6887425.359209e-09
0.6748491.6886625.372950e-09
0.676581.6885845.386727e-09
0.6783141.6885055.400539e-09
0.6800531.6884275.414386e-09
0.6817971.6883495.428269e-09
0.6835451.6882715.442187e-09
0.6852981.6881945.456141e-09
0.6870551.6881175.470131e-09
0.6888161.688045.484157e-09
0.6905831.6879645.498219e-09
0.6923531.6878885.512316e-09
0.6941281.6878125.526450e-09
0.6959081.6877375.540620e-09
0.6976921.6876625.554827e-09
0.6994811.6875875.569070e-09
0.71.6875655.573200e-09
0.7012751.6875135.583349e-09
0.7030731.6874385.597665e-09
0.7048751.6873655.612018e-09
0.7066831.6872915.626407e-09
0.7084951.6872185.640834e-09
0.7103111.6871455.655297e-09
0.7121321.6870725.669798e-09
0.7139581.6875.684336e-09
0.7157891.6869275.698911e-09
0.7176241.6868565.713523e-09
0.7194641.6867845.728173e-09
0.7213091.6867135.742860e-09
0.7231581.6866425.757585e-09
0.7250121.6865715.772348e-09
0.7268711.68655.787148e-09
0.7287351.686435.801987e-09
0.7306031.686365.816864e-09
0.7324771.6862915.831778e-09
0.7343551.6862215.846731e-09
0.7362371.6861525.861723e-09
0.7381251.6860835.876752e-09
0.7400181.6860145.891821e-09
0.7419151.6859465.906928e-09
0.7438171.6858785.922073e-09
0.7457241.685815.937258e-09
0.7476361.6857425.952481e-09
0.7495531.6856755.967744e-09
0.751.6856595.971300e-09
0.7514751.6856086.288747e-09
0.7534021.6855416.703366e-09
0.7553341.6854747.119048e-09
0.757271.6854087.535796e-09
0.7592121.6853427.953612e-09
0.7611591.6852768.372500e-09
0.763111.685218.792462e-09
0.7650671.6851449.213500e-09
0.7670281.6850799.635618e-09
0.7689951.6850141.005882e-08
0.7709671.6849491.048310e-08
0.7729431.6848851.090848e-08
0.7749251.684821.133494e-08
0.7769121.6847561.176250e-08
0.7789041.6846921.219115e-08
0.781.6846571.242700e-08
0.7809011.6846291.215408e-08
0.7829031.6845651.154765e-08
0.7849111.6845021.093967e-08
0.7869231.6844391.033013e-08
0.7889411.6843769.719023e-09
0.7909641.6843139.106352e-09
0.7929921.6842518.492110e-09
0.7950251.6841887.876293e-09
0.7970631.6841267.258897e-09
0.7991071.6840646.639918e-09
0.81.6840376.369400e-09
0.8011561.6840036.633431e-09
0.803211.6839417.102705e-09
0.8052691.683887.573183e-09
0.8073341.6838198.044867e-09
0.8094041.6837588.517760e-09
0.8114791.6836978.991866e-09
0.813561.6836379.467187e-09
0.8156461.6835769.943728e-09
0.8177371.6835161.042149e-08
0.8198341.6834561.090048e-08
0.8219361.6833961.138069e-08
0.8240431.6833371.186214e-08
0.8261561.6832771.234482e-08
0.8282741.6832181.282874e-08
0.831.683171.322300e-08
0.8303981.6831591.309458e-08
0.8325271.68311.240735e-08
0.8346621.6830411.171837e-08
0.8368021.6829821.102761e-08
0.8389471.6829241.033509e-08
0.8410981.6828669.640788e-09
0.8432551.6828078.944708e-09
0.8454171.6827498.246844e-09
0.8475841.6826927.547190e-09
0.8497581.6826346.845742e-09
0.851.6826286.767500e-09
0.8519361.6825766.782917e-09
0.8541211.6825196.800309e-09
0.8563111.6824626.817745e-09
0.8585061.6824056.835226e-09
0.8607071.6823486.852752e-09
0.8629141.6822916.870323e-09
0.8651271.6822356.887939e-09
0.8673451.6821786.905599e-09
0.8695691.6821226.923306e-09
0.8717981.6820666.941057e-09
0.8740331.682016.958855e-09
0.8762741.6819546.976697e-09
0.8785211.6818986.994586e-09
0.8807741.6818427.012520e-09
0.8830321.6817877.030501e-09
0.8852961.6817317.048527e-09
0.8875661.6816767.066600e-09
0.8898421.6816217.084719e-09
0.8921231.6815667.102884e-09
0.8944111.6815117.121096e-09
0.8967041.6814567.139355e-09
0.8990031.6814027.157661e-09
0.91.6813787.165600e-09
0.9013081.6813477.176011e-09
0.9036191.6812937.194406e-09
0.9059361.6812387.212848e-09
0.9082581.6811847.231337e-09
0.9105871.681137.249874e-09
0.9129221.6810767.268458e-09
0.9152631.6810227.287090e-09
0.9176091.6809697.305770e-09
0.9199621.6809157.324498e-09
0.9223211.6808627.343273e-09
0.9246861.6808087.362097e-09
0.9270561.6807557.380969e-09
0.9294331.6807027.399890e-09
0.9318161.6806497.418859e-09
0.9342061.6805957.437876e-09
0.9366011.6805437.456943e-09
0.9390021.680497.476058e-09
0.941411.6804377.495222e-09
0.9438241.6803847.514436e-09
0.9462441.6803327.533698e-09
0.948671.6802797.553010e-09
0.951.6802517.563600e-09
0.9511021.6802277.572374e-09
0.9535411.6801757.591790e-09
0.9559851.6801227.611256e-09
0.9584371.680077.630772e-09
0.9608941.6800187.650338e-09
0.9633581.6799667.669954e-09
0.9658281.6799147.689620e-09
0.9683041.6798637.709337e-09
0.9707871.6798117.729104e-09
0.9732761.6797597.748922e-09
0.9757711.6797087.768791e-09
0.9782731.6796567.788710e-09
0.9807811.6796057.808681e-09
0.9832961.6795537.828703e-09
0.9858171.6795027.848776e-09
0.9883451.6794517.868901e-09
0.9908791.67947.889077e-09
0.9934191.6793487.909306e-09
0.9959671.6792977.929586e-09
0.998521.6792467.949918e-09
11.6792177.961700e-09
1.001081.6791957.970302e-09
1.003651.6791457.990738e-09
1.006221.6790948.011227e-09
1.00881.6790438.031768e-09
1.011391.6789928.052362e-09
1.013981.6789428.073009e-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
—