Optical constants

Refractive index of MP-LAC14-80 (HOYA)

MP-LAC14-80: 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
1.6976
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.88183
Permittivity ε2
1.58837e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
55.507
Chromatic dispersion dn/dλ
-0.0649509 µm⁻¹
Group index ng
1.73576
Group velocity dispersion
113.08 fs²/mm
Dispersion parameter D
-616.91 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-LAC14-80 (HOYA): MP-LAC14-80
hoya_mp_lac14_80 = ls.fetch_refractiveindex("specs", "HOYA-optical", "MP-LAC14-80", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_mp_lac14_80.range_nm)  # (365.01, 1013.98) nm
eps = hoya_mp_lac14_80.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=2.8306733−0.014855863⁢λ2.0+0.018103472⁢λ−2.0+0.00053539971⁢λ−4.0−3.1929778×10-5⁢λ−6.0+2.0340983×10-6⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.8306733
C2-0.014855863
C32.0
C40.018103472
C5-2.0
C60.00053539971
C7-4.0
C8-3.1929778e-05
C9-6.0
C102.0340983e-06
C11-8.0

Comments and conditions

Preforms for Precision molding

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: 4.13456e-06 0.0 0.0 0.0 0.0 0.0
nd
1.69760
Vd
55.51
glass code
698555
glass status
standard
density
value: 3700
thermal expansion
value: 6.5e-06, temperature range: 243 343; value: 8e-06, temperature range: 293 573
dPgF
-0.0059
resistance
acid: 4.0; stain: 5.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = 2.28e-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-LAC14-80 (HOYA), MP-LAC14-80: n and k versus wavelength
λ (µm)nk
0.365011.7284932.800769e-07
0.3659461.7282222.676223e-07
0.3668841.7279532.551358e-07
0.3678251.7276862.426172e-07
0.3687681.727422.300666e-07
0.3697131.7271562.174837e-07
0.371.7270762.136700e-07
0.3706611.7268932.085379e-07
0.3716121.7266322.011630e-07
0.3725651.7263731.937693e-07
0.373521.7261161.863566e-07
0.3744771.725861.789249e-07
0.3754381.7256061.714742e-07
0.37641.7253531.640043e-07
0.3773651.7251021.565153e-07
0.3783331.7248521.490071e-07
0.3793031.7246041.414797e-07
0.381.7244271.360700e-07
0.3802751.7243581.349260e-07
0.381251.7241131.308759e-07
0.3822281.7238691.268154e-07
0.3832081.7236271.227445e-07
0.384191.7233871.186632e-07
0.3851761.7231481.145714e-07
0.3861631.722911.104691e-07
0.3871531.7226741.063562e-07
0.3881461.7224391.022329e-07
0.3891411.7222069.809895e-08
0.391.7220079.453100e-08
0.3901391.7219749.420174e-08
0.3911391.7217449.182892e-08
0.3921421.7215158.945002e-08
0.3931471.7212878.706502e-08
0.3941551.7210618.467390e-08
0.3951661.7208368.227665e-08
0.3961791.7206137.987326e-08
0.3971951.720397.746370e-08
0.3982131.7201697.504796e-08
0.3992341.719957.262604e-08
0.41.7197867.081000e-08
0.4002581.7197327.046066e-08
0.4012841.7195156.907133e-08
0.4023131.7192996.767843e-08
0.4033451.7190856.628196e-08
0.4043791.7188716.488191e-08
0.4054161.7186596.347827e-08
0.4064551.7184496.207103e-08
0.4074971.7182396.066019e-08
0.4085421.7180315.924572e-08
0.409591.7178245.782763e-08
0.410641.7176195.640591e-08
0.4116931.7174145.498054e-08
0.4127481.7172115.355151e-08
0.4138061.7170085.211882e-08
0.4148671.7168075.068246e-08
0.4159311.7166084.924241e-08
0.4169981.7164094.779867e-08
0.4180671.7162114.635123e-08
0.4191391.7160154.490008e-08
0.421.7158584.373400e-08
0.4202131.715824.364287e-08
0.4212911.7156264.318260e-08
0.4223711.7154334.272115e-08
0.4234541.7152414.225851e-08
0.424541.715054.179469e-08
0.4256281.714864.132968e-08
0.4267191.7146714.086348e-08
0.4278131.7144844.039609e-08
0.428911.7142973.992749e-08
0.430011.7141123.945769e-08
0.4311131.7139283.898669e-08
0.4322181.7137443.851448e-08
0.4333261.7135623.804106e-08
0.4344371.7133813.756643e-08
0.4355511.71323.709058e-08
0.4366681.7130213.661351e-08
0.4377871.7128433.613521e-08
0.438911.7126663.565569e-08
0.441.7124953.519000e-08
0.4400351.712493.516681e-08
0.4411631.7123143.442443e-08
0.4422951.712143.368015e-08
0.4434291.7119673.293396e-08
0.4445661.7117943.218585e-08
0.4457051.7116233.143583e-08
0.4468481.7114533.068388e-08
0.4479941.7112832.993001e-08
0.4491431.7111152.917420e-08
0.4502941.7109472.841646e-08
0.4514491.710782.765677e-08
0.4526061.7106152.689514e-08
0.4537671.710452.613155e-08
0.454931.7102862.536600e-08
0.4560971.7101232.459850e-08
0.4572661.7099612.382902e-08
0.4584381.70982.305757e-08
0.4596141.7096392.228414e-08
0.461.7095872.203000e-08
0.4607921.709482.161196e-08
0.4619741.7093212.098850e-08
0.4631581.7091632.036345e-08
0.4643461.7090071.973679e-08
0.4655361.7088511.910853e-08
0.466731.7086951.847866e-08
0.4679271.7085411.784717e-08
0.4691261.7083881.721406e-08
0.4703291.7082351.657933e-08
0.4715351.7080831.594298e-08
0.4727441.7079321.530499e-08
0.4739561.7077821.466536e-08
0.4751711.7076331.402410e-08
0.476391.7074841.338119e-08
0.4776111.7073361.273663e-08
0.4788361.7071891.209042e-08
0.481.7070511.147600e-08
0.4800631.7070431.146487e-08
0.4812941.7068981.124884e-08
0.4825281.7067531.103225e-08
0.4837651.7066091.081510e-08
0.4850061.7064661.059740e-08
0.4862491.7063241.037914e-08
0.4874961.7061821.016032e-08
0.4887461.7060419.940944e-09
0.4899991.7059019.721001e-09
0.4912551.7057629.500494e-09
0.4925151.7056239.279422e-09
0.4937781.7054859.057783e-09
0.4950441.7053488.835575e-09
0.4963131.7052128.612798e-09
0.4975861.7050768.389450e-09
0.4988611.7049418.165529e-09
0.51.7048227.965700e-09
0.5001411.7048077.955619e-09
0.5014231.7046737.863631e-09
0.5027091.704547.771408e-09
0.5039971.7044087.678948e-09
0.505291.7042777.586251e-09
0.5065851.7041467.493316e-09
0.5078841.7040167.400143e-09
0.5091861.7038867.306731e-09
0.5104921.7037587.213080e-09
0.5118011.703637.119188e-09
0.5131131.7035027.025056e-09
0.5144291.7033756.930682e-09
0.5157481.7032496.836067e-09
0.517071.7031246.741209e-09
0.5183961.7029996.646107e-09
0.5197251.7028756.550762e-09
0.5210571.7027516.455172e-09
0.5223931.7026286.359338e-09
0.5237331.7025066.263257e-09
0.5250761.7023846.166930e-09
0.5264221.7022636.070357e-09
0.5277721.7021435.973535e-09
0.5291251.7020235.876465e-09
0.5304811.7019045.779147e-09
0.5318421.7017855.681579e-09
0.5332051.7016675.583761e-09
0.5345721.701555.485692e-09
0.5359431.7014335.387371e-09
0.5373171.7013175.288799e-09
0.5386951.7012015.189973e-09
0.5400761.7010865.090895e-09
0.5414611.7009714.991562e-09
0.5428491.7008574.891974e-09
0.5442411.7007444.792132e-09
0.5456361.7006314.692033e-09
0.5470351.7005194.591678e-09
0.5484381.7004074.491065e-09
0.5498441.7002964.390194e-09
0.551.7002844.379000e-09
0.5512541.7001864.388980e-09
0.5526671.7000764.400230e-09
0.5540841.6999664.411510e-09
0.5555051.6998574.422818e-09
0.5569291.6997494.434156e-09
0.5583571.6996414.445522e-09
0.5597891.6995344.456918e-09
0.5612241.6994274.468343e-09
0.5626631.6993214.479797e-09
0.5641061.6992154.491280e-09
0.5655521.699114.502793e-09
0.5670021.6990054.514336e-09
0.5684561.6989014.525908e-09
0.5699131.6987974.537509e-09
0.5713741.6986944.549141e-09
0.5728391.6985914.560802e-09
0.5743081.6984894.572493e-09
0.5757811.6983874.584214e-09
0.5772571.6982864.595966e-09
0.5787371.6981854.607747e-09
0.5802211.6980854.619558e-09
0.5817091.6979854.631400e-09
0.58321.6978864.643272e-09
0.5846951.6977874.655175e-09
0.5861951.6976884.667108e-09
0.5876971.697594.679072e-09
0.5892041.6974934.691066e-09
0.5907151.6973964.703092e-09
0.592231.6972994.715148e-09
0.5937481.6972034.727235e-09
0.595271.6971084.739352e-09
0.5967971.6970124.751501e-09
0.5983271.6969184.763682e-09
0.5998611.6968234.775893e-09
0.61.6968154.777000e-09
0.6013991.6967294.788138e-09
0.6029411.6966364.800416e-09
0.6044871.6965434.812724e-09
0.6060371.696454.825064e-09
0.6075911.6963584.837436e-09
0.6091481.6962664.849840e-09
0.610711.6961754.862275e-09
0.6122761.6960844.874742e-09
0.6138461.6959944.887241e-09
0.615421.6959044.899773e-09
0.6169981.6958144.912336e-09
0.618581.6957254.924932e-09
0.6201661.6956364.937560e-09
0.6217561.6955474.950220e-09
0.623351.6954594.962913e-09
0.6249481.6953724.975638e-09
0.6265511.6952844.988396e-09
0.6281571.6951985.001186e-09
0.6297681.6951115.014010e-09
0.6313821.6950255.026866e-09
0.6330011.6949395.039755e-09
0.6346241.6948545.052677e-09
0.6362511.6947695.065633e-09
0.6378831.6946845.078621e-09
0.6395181.69465.091643e-09
0.6411581.6945165.104699e-09
0.6428021.6944335.117788e-09
0.644451.6943495.130910e-09
0.6461021.6942675.144066e-09
0.6477591.6941845.157256e-09
0.649421.6941025.170479e-09
0.651.6940735.175100e-09
0.6510851.694025.183737e-09
0.6527541.6939395.197028e-09
0.6544281.6938585.210354e-09
0.6561061.6937775.223713e-09
0.6577881.6936975.237107e-09
0.6594741.6936175.250535e-09
0.6611651.6935375.263998e-09
0.6628611.6934585.277495e-09
0.664561.6933795.291027e-09
0.6662641.69335.304594e-09
0.6679721.6932225.318195e-09
0.6696851.6931445.331831e-09
0.6714021.6930665.345502e-09
0.6731231.6929895.359209e-09
0.6748491.6929115.372950e-09
0.676581.6928355.386727e-09
0.6783141.6927585.400539e-09
0.6800531.6926825.414386e-09
0.6817971.6926065.428269e-09
0.6835451.6925315.442187e-09
0.6852981.6924565.456141e-09
0.6870551.6923815.470131e-09
0.6888161.6923065.484157e-09
0.6905831.6922325.498219e-09
0.6923531.6921585.512316e-09
0.6941281.6920845.526450e-09
0.6959081.692015.540620e-09
0.6976921.6919375.554827e-09
0.6994811.6918645.569070e-09
0.71.6918435.573200e-09
0.7012751.6917925.583349e-09
0.7030731.6917195.597665e-09
0.7048751.6916475.612018e-09
0.7066831.6915765.626407e-09
0.7084951.6915045.640834e-09
0.7103111.6914335.655297e-09
0.7121321.6913625.669798e-09
0.7139581.6912915.684336e-09
0.7157891.6912215.698911e-09
0.7176241.6911515.713523e-09
0.7194641.6910815.728173e-09
0.7213091.6910115.742860e-09
0.7231581.6909425.757585e-09
0.7250121.6908725.772348e-09
0.7268711.6908045.787148e-09
0.7287351.6907355.801987e-09
0.7306031.6906675.816864e-09
0.7324771.6905985.831778e-09
0.7343551.690535.846731e-09
0.7362371.6904635.861723e-09
0.7381251.6903955.876752e-09
0.7400181.6903285.891821e-09
0.7419151.6902615.906928e-09
0.7438171.6901955.922073e-09
0.7457241.6901285.937258e-09
0.7476361.6900625.952481e-09
0.7495531.6899965.967744e-09
0.751.689985.971300e-09
0.7514751.689935.983043e-09
0.7534021.6898645.998380e-09
0.7553341.6897996.013756e-09
0.757271.6897346.029172e-09
0.7592121.6896696.044627e-09
0.7611591.6896046.060122e-09
0.763111.689546.075656e-09
0.7650671.6894756.091231e-09
0.7670281.6894116.106845e-09
0.7689951.6893486.122500e-09
0.7709671.6892846.138194e-09
0.7729431.689226.153929e-09
0.7749251.6891576.169704e-09
0.7769121.6890946.185520e-09
0.7789041.6890316.201376e-09
0.781.6889976.210100e-09
0.7809011.6889696.217277e-09
0.7829031.6889066.233225e-09
0.7849111.6888446.249213e-09
0.7869231.6887826.265243e-09
0.7889411.688726.281313e-09
0.7909641.6886586.297425e-09
0.7929921.6885976.313578e-09
0.7950251.6885356.329772e-09
0.7970631.6884746.346008e-09
0.7991071.6884136.362286e-09
0.81.6883876.369400e-09
0.8011561.6883526.378600e-09
0.803211.6882926.394951e-09
0.8052691.6882316.411343e-09
0.8073341.6881716.427778e-09
0.8094041.6881116.444255e-09
0.8114791.6880516.460775e-09
0.813561.6879916.477336e-09
0.8156461.6879326.493940e-09
0.8177371.6878726.510587e-09
0.8198341.6878136.527276e-09
0.8219361.6877546.544008e-09
0.8240431.6876956.560783e-09
0.8261561.6876366.577602e-09
0.8282741.6875786.594463e-09
0.831.687536.608200e-09
0.8303981.6875196.611369e-09
0.8325271.6874616.628327e-09
0.8346621.6874036.645329e-09
0.8368021.6873446.662375e-09
0.8389471.6872876.679464e-09
0.8410981.6872296.696597e-09
0.8432551.6871716.713774e-09
0.8454171.6871146.730995e-09
0.8475841.6870566.748260e-09
0.8497581.6869996.765569e-09
0.851.6869936.767500e-09
0.8519361.6869426.782917e-09
0.8541211.6868856.800309e-09
0.8563111.6868296.817745e-09
0.8585061.6867726.835226e-09
0.8607071.6867156.852752e-09
0.8629141.6866596.870323e-09
0.8651271.6866036.887939e-09
0.8673451.6865476.905599e-09
0.8695691.6864916.923306e-09
0.8717981.6864356.941057e-09
0.8740331.6863796.958855e-09
0.8762741.6863236.976697e-09
0.8785211.6862686.994586e-09
0.8807741.6862127.012520e-09
0.8830321.6861577.030501e-09
0.8852961.6861027.048527e-09
0.8875661.6860477.066600e-09
0.8898421.6859927.084719e-09
0.8921231.6859377.102884e-09
0.8944111.6858827.121096e-09
0.8967041.6858277.139355e-09
0.8990031.6857737.157661e-09
0.91.6857497.165600e-09
0.9013081.6857187.176011e-09
0.9036191.6856647.194406e-09
0.9059361.685617.212848e-09
0.9082581.6855567.231337e-09
0.9105871.6855027.249874e-09
0.9129221.6854487.268458e-09
0.9152631.6853947.287090e-09
0.9176091.685347.305770e-09
0.9199621.6852867.324498e-09
0.9223211.6852337.343273e-09
0.9246861.6851797.362097e-09
0.9270561.6851267.380969e-09
0.9294331.6850727.399890e-09
0.9318161.6850197.418859e-09
0.9342061.6849667.437876e-09
0.9366011.6849137.456943e-09
0.9390021.684867.476058e-09
0.941411.6848077.495222e-09
0.9438241.6847547.514436e-09
0.9462441.6847017.533698e-09
0.948671.6846487.553010e-09
0.951.6846197.563600e-09
0.9511021.6845957.572374e-09
0.9535411.6845437.591790e-09
0.9559851.684497.611256e-09
0.9584371.6844387.630772e-09
0.9608941.6843857.650338e-09
0.9633581.6843337.669954e-09
0.9658281.6842817.689620e-09
0.9683041.6842287.709337e-09
0.9707871.6841767.729104e-09
0.9732761.6841247.748922e-09
0.9757711.6840727.768791e-09
0.9782731.684027.788710e-09
0.9807811.6839687.808681e-09
0.9832961.6839167.828703e-09
0.9858171.6838647.848776e-09
0.9883451.6838127.868901e-09
0.9908791.683767.889077e-09
0.9934191.6837097.909306e-09
0.9959671.6836577.929586e-09
0.998521.6836057.949918e-09
11.6835757.961700e-09
1.001081.6835547.970302e-09
1.003651.6835027.990738e-09
1.006221.6834518.011227e-09
1.00881.6833998.031768e-09
1.011391.6833488.052362e-09
1.013981.6832968.073009e-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
—