Optical constants

Refractive index of M-FD80 (HOYA)

M-FD80: 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
1.68893
Extinction coefficient k
3.25170e-08
Permittivity ε1
2.85247
Permittivity ε2
1.09838e-07
Absorption coefficient α
0.00695406 cm⁻¹
Penetration depth δ = λ/(2πk)
2.87602e+09 nm
Abbe number Vd
31.161
Chromatic dispersion dn/dλ
-0.111234 µm⁻¹
Group index ng
1.75429
Group velocity dispersion
223.238 fs²/mm
Dispersion parameter D
-1217.88 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

# M-FD80 (HOYA): M-FD80
hoya_m_fd80 = ls.fetch_refractiveindex("specs", "HOYA-optical", "M-FD80", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_m_fd80.range_nm)  # (365.01, 1013.98) nm
eps = hoya_m_fd80.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=2.761638−0.01132633⁢λ2.0+0.02865346⁢λ−2.0+0.001529038⁢λ−4.0−8.743577×10-5⁢λ−6.0+1.496579×10-5⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.761638
C2-0.01132633
C32.0
C40.02865346
C5-2.0
C60.001529038
C7-4.0
C8-8.743577e-05
C9-6.0
C101.496579e-05
C11-8.0

Comments and conditions

Glass for molded optics lens

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -8.15303e-06 0.0 0.0 0.0 0.0 0.0
nd
1.68893
Vd
31.16
glass code
689312
glass status
standard
density
value: 3260
thermal expansion
value: 1.15e-05, temperature range: 243 343; value: 1.43e-05, temperature range: 293 573
dPgF
0.0115
resistance
acid: 3.0; stain: 3.0; climatic: 3.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -4.45e-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
M-FD80 (HOYA), M-FD80: n and k versus wavelength
λ (µm)nk
0.365011.7526717.444406e-06
0.3659461.7519916.902199e-06
0.3668841.7513186.358601e-06
0.3678251.7506525.813609e-06
0.3687681.7499935.267220e-06
0.3697131.749344.719430e-06
0.371.7491444.553400e-06
0.3706611.7486944.381883e-06
0.3716121.7480544.135416e-06
0.3725651.7474213.888317e-06
0.373521.7467943.640584e-06
0.3744771.7461743.392216e-06
0.3754381.7455593.143211e-06
0.37641.7449512.893568e-06
0.3773651.7443482.643285e-06
0.3783331.7437522.392360e-06
0.3793031.7431612.140791e-06
0.381.7427411.960000e-06
0.3802751.7425761.932221e-06
0.381251.7419971.833872e-06
0.3822281.7414231.735271e-06
0.3832081.7408551.636418e-06
0.384191.7402921.537311e-06
0.3851761.7397341.437949e-06
0.3861631.7391821.338333e-06
0.3871531.7386351.238462e-06
0.3881461.7380931.138335e-06
0.3891411.7375561.037950e-06
0.391.7370989.513100e-07
0.3901391.7370249.460197e-07
0.3911391.7364979.078952e-07
0.3921421.7359758.696729e-07
0.3931471.7354588.313526e-07
0.3941551.7349457.929340e-07
0.3951661.7344377.544169e-07
0.3961791.7339347.158011e-07
0.3971951.7334356.770863e-07
0.3982131.7329416.382722e-07
0.3992341.7324515.993586e-07
0.41.7320885.701800e-07
0.4002581.7319665.668430e-07
0.4012841.7314855.535715e-07
0.4023131.7310085.402661e-07
0.4033451.7305355.269265e-07
0.4043791.7300665.135527e-07
0.4054161.7296025.001446e-07
0.4064551.7291414.867022e-07
0.4074971.7286854.732252e-07
0.4085421.7282334.597137e-07
0.409591.7277844.461676e-07
0.410641.7273394.325868e-07
0.4116931.7268984.189711e-07
0.4127481.7264614.053205e-07
0.4138061.7260283.916349e-07
0.4148671.7255983.779143e-07
0.4159311.7251723.641584e-07
0.4169981.7247493.503673e-07
0.4180671.724333.365408e-07
0.4191391.7239143.226789e-07
0.421.7235843.115400e-07
0.4202131.7235023.104882e-07
0.4212911.7230933.051761e-07
0.4223711.7226882.998502e-07
0.4234541.7222862.945108e-07
0.424541.7218872.891576e-07
0.4256281.7214912.837908e-07
0.4267191.7210992.784101e-07
0.4278131.720712.730157e-07
0.428911.7203242.676074e-07
0.430011.7199412.621853e-07
0.4311131.7195612.567493e-07
0.4322181.7191842.512993e-07
0.4333261.718812.458353e-07
0.4344371.7184392.403574e-07
0.4355511.7180712.348654e-07
0.4366681.7177062.293593e-07
0.4377871.7173432.238391e-07
0.438911.7169842.183048e-07
0.441.7166382.129300e-07
0.4400351.7166272.128383e-07
0.4411631.7162732.099026e-07
0.4422951.7159222.069594e-07
0.4434291.7155742.040087e-07
0.4445661.7152282.010504e-07
0.4457051.7148851.980845e-07
0.4468481.7145441.951110e-07
0.4479941.7142061.921299e-07
0.4491431.7138711.891411e-07
0.4502941.7135381.861447e-07
0.4514491.7132071.831406e-07
0.4526061.7128791.801287e-07
0.4537671.7125541.771092e-07
0.454931.7122311.740819e-07
0.4560971.711911.710469e-07
0.4572661.7115921.680041e-07
0.4584381.7112761.649534e-07
0.4596141.7109621.618950e-07
0.461.710861.608900e-07
0.4607921.7106511.594379e-07
0.4619741.7103421.572723e-07
0.4631581.7100351.551011e-07
0.4643461.709731.529244e-07
0.4655361.7094281.507421e-07
0.466731.7091281.485542e-07
0.4679271.708831.463607e-07
0.4691261.7085341.441615e-07
0.4703291.708241.419568e-07
0.4715351.7079481.397463e-07
0.4727441.7076581.375302e-07
0.4739561.7073711.353085e-07
0.4751711.7070851.330810e-07
0.476391.7068021.308478e-07
0.4776111.706521.286089e-07
0.4788361.7062411.263642e-07
0.481.7059771.242300e-07
0.4800631.7059631.241426e-07
0.4812941.7056871.224457e-07
0.4825281.7054141.207445e-07
0.4837651.7051421.190389e-07
0.4850061.7048721.173290e-07
0.4862491.7046041.156146e-07
0.4874961.7043371.138959e-07
0.4887461.7040731.121727e-07
0.4899991.703811.104452e-07
0.4912551.7035491.087132e-07
0.4925151.703291.069768e-07
0.4937781.7030331.052359e-07
0.4950441.7027771.034905e-07
0.4963131.7025231.017407e-07
0.4975861.7022719.998639e-08
0.4988611.7020219.822758e-08
0.51.7017999.665800e-08
0.5001411.7017729.650996e-08
0.5014231.7015259.515914e-08
0.5027091.7012799.380486e-08
0.5039971.7010359.244710e-08
0.505291.7007939.108586e-08
0.5065851.7005538.972113e-08
0.5078841.7003148.835290e-08
0.5091861.7000768.698117e-08
0.5104921.699848.560592e-08
0.5118011.6996068.422714e-08
0.5131131.6993738.284482e-08
0.5144291.6991428.145897e-08
0.5157481.6989128.006955e-08
0.517071.6986837.867658e-08
0.5183961.6984577.728003e-08
0.5197251.6982317.587991e-08
0.5210571.6980077.447619e-08
0.5223931.6977857.306888e-08
0.5237331.6975647.165795e-08
0.5250761.6973447.024341e-08
0.5264221.6971266.882525e-08
0.5277721.6969096.740344e-08
0.5291251.6966946.597799e-08
0.5304811.6964796.454889e-08
0.5318421.6962676.311612e-08
0.5332051.6960556.167968e-08
0.5345721.6958456.023955e-08
0.5359431.6956365.879574e-08
0.5373171.6954295.734822e-08
0.5386951.6952235.589699e-08
0.5400761.6950185.444203e-08
0.5414611.6948145.298335e-08
0.5428491.6946125.152093e-08
0.5442411.6944115.005476e-08
0.5456361.6942114.858483e-08
0.5470351.6940134.711113e-08
0.5484381.6938154.563365e-08
0.5498441.6936194.415238e-08
0.551.6935974.398800e-08
0.5512541.6934244.360551e-08
0.5526671.693234.317431e-08
0.5540841.6930384.274201e-08
0.5555051.6928464.230860e-08
0.5569291.6926564.187407e-08
0.5583571.6924674.143843e-08
0.5597891.6922794.100168e-08
0.5612241.6920924.056380e-08
0.5626631.6919074.012480e-08
0.5641061.6917223.968468e-08
0.5655521.6915393.924343e-08
0.5670021.6913563.880105e-08
0.5684561.6911753.835753e-08
0.5699131.6909953.791287e-08
0.5713741.6908163.746708e-08
0.5728391.6906383.702014e-08
0.5743081.6904613.657206e-08
0.5757811.6902853.612282e-08
0.5772571.690113.567244e-08
0.5787371.6899373.522090e-08
0.5802211.6897643.476820e-08
0.5817091.6895923.431435e-08
0.58321.6894213.385933e-08
0.5846951.6892513.340314e-08
0.5861951.6890833.294578e-08
0.5876971.6889153.248725e-08
0.5892041.6887483.202754e-08
0.5907151.6885823.156666e-08
0.592231.6884173.110459e-08
0.5937481.6882533.064134e-08
0.595271.688093.017690e-08
0.5967971.6879282.971127e-08
0.5983271.6877672.924445e-08
0.5998611.6876072.877643e-08
0.61.6875932.873400e-08
0.6013991.6874482.880101e-08
0.6029411.6872892.887487e-08
0.6044871.6871322.894892e-08
0.6060371.6869752.902316e-08
0.6075911.686822.909759e-08
0.6091481.6866652.917221e-08
0.610711.6865112.924702e-08
0.6122761.6863582.932203e-08
0.6138461.6862062.939722e-08
0.615421.6860552.947261e-08
0.6169981.6859042.954819e-08
0.618581.6857542.962397e-08
0.6201661.6856062.969994e-08
0.6217561.6854582.977610e-08
0.623351.6853112.985246e-08
0.6249481.6851642.992902e-08
0.6265511.6850193.000577e-08
0.6281571.6848743.008272e-08
0.6297681.684733.015987e-08
0.6313821.6845873.023721e-08
0.6330011.6844453.031476e-08
0.6346241.6843033.039250e-08
0.6362511.6841633.047044e-08
0.6378831.6840233.054858e-08
0.6395181.6838843.062692e-08
0.6411581.6837453.070546e-08
0.6428021.6836073.078420e-08
0.644451.6834713.086315e-08
0.6461021.6833343.094230e-08
0.6477591.6831993.102165e-08
0.649421.6830643.110120e-08
0.651.6830173.112900e-08
0.6510851.682933.118094e-08
0.6527541.6827973.126087e-08
0.6544281.6826643.134100e-08
0.6561061.6825333.142134e-08
0.6577881.6824013.150188e-08
0.6594741.6822713.158264e-08
0.6611651.6821413.166360e-08
0.6628611.6820123.174476e-08
0.664561.6818843.182614e-08
0.6662641.6817563.190772e-08
0.6679721.6816293.198951e-08
0.6696851.6815033.207151e-08
0.6714021.6813773.215373e-08
0.6731231.6812523.223615e-08
0.6748491.6811283.231878e-08
0.676581.6810043.240163e-08
0.6783141.6808813.248469e-08
0.6800531.6807593.256796e-08
0.6817971.6806373.265145e-08
0.6835451.6805163.273515e-08
0.6852981.6803953.281906e-08
0.6870551.6802753.290319e-08
0.6888161.6801563.298753e-08
0.6905831.6800373.307209e-08
0.6923531.6799193.315687e-08
0.6941281.6798023.324187e-08
0.6959081.6796853.332708e-08
0.6976921.6795683.341251e-08
0.6994811.6794533.349816e-08
0.71.6794193.352300e-08
0.7012751.6793383.327821e-08
0.7030731.6792233.293291e-08
0.7048751.6791093.258673e-08
0.7066831.6789963.223966e-08
0.7084951.6788833.189170e-08
0.7103111.6787713.154285e-08
0.7121321.6786593.119310e-08
0.7139581.6785483.084246e-08
0.7157891.6784373.049092e-08
0.7176241.6783273.013847e-08
0.7194641.6782182.978513e-08
0.7213091.6781092.943087e-08
0.7231581.6782.907571e-08
0.7250121.6778932.871964e-08
0.7268711.6777852.836266e-08
0.7287351.6776782.800476e-08
0.7306031.6775722.764594e-08
0.7324771.6774662.728620e-08
0.7343551.6773612.692554e-08
0.7362371.6772562.656396e-08
0.7381251.6771522.620145e-08
0.7400181.6770482.583800e-08
0.7419151.6769452.547363e-08
0.7438171.6768422.510832e-08
0.7457241.676742.474208e-08
0.7476361.6766382.437490e-08
0.7495531.6765372.400677e-08
0.751.6765132.392100e-08
0.7514751.6764362.396806e-08
0.7534021.6763362.402952e-08
0.7553341.6762362.409114e-08
0.757271.6761362.415292e-08
0.7592121.6760372.421486e-08
0.7611591.6759392.427696e-08
0.763111.6758412.433921e-08
0.7650671.6757432.440163e-08
0.7670281.6756462.446420e-08
0.7689951.675552.452694e-08
0.7709671.6754532.458983e-08
0.7729431.6753572.465289e-08
0.7749251.6752622.471611e-08
0.7769121.6751672.477949e-08
0.7789041.6750732.484304e-08
0.781.6750212.487800e-08
0.7809011.6749792.490674e-08
0.7829031.6748852.497061e-08
0.7849111.6747922.503465e-08
0.7869231.6746992.509885e-08
0.7889411.6746072.516321e-08
0.7909641.6745152.522774e-08
0.7929921.6744232.529243e-08
0.7950251.6743322.535729e-08
0.7970631.6742412.542232e-08
0.7991071.6741512.548751e-08
0.81.6741112.551600e-08
0.8011561.6740612.504242e-08
0.803211.6739712.420070e-08
0.8052691.6738822.335683e-08
0.8073341.6737932.251079e-08
0.8094041.6737052.166258e-08
0.8114791.6736172.081220e-08
0.813561.6735291.995964e-08
0.8156461.6734421.910489e-08
0.8177371.6733551.824795e-08
0.8198341.6732681.738881e-08
0.8219361.6731821.652747e-08
0.8240431.6730961.566392e-08
0.8261561.6730111.479816e-08
0.8282741.6729261.393017e-08
0.831.6728571.322300e-08
0.8303981.6728411.322935e-08
0.8325271.6727561.326331e-08
0.8346621.6726721.329735e-08
0.8368021.6725891.333149e-08
0.8389471.6725051.336571e-08
0.8410981.6724221.340002e-08
0.8432551.6723391.343441e-08
0.8454171.6722571.346890e-08
0.8475841.6721751.350347e-08
0.8497581.6720931.353813e-08
0.851.6720841.354200e-08
0.8519361.6720121.357283e-08
0.8541211.6719311.360760e-08
0.8563111.671851.364247e-08
0.8585061.671771.367742e-08
0.8607071.671691.371246e-08
0.8629141.671611.374759e-08
0.8651271.671531.378282e-08
0.8673451.6714511.381813e-08
0.8695691.6713721.385353e-08
0.8717981.6712941.388903e-08
0.8740331.6712151.392461e-08
0.8762741.6711371.396029e-08
0.8785211.671061.399606e-08
0.8807741.6709821.403192e-08
0.8830321.6709051.406787e-08
0.8852961.6708281.410391e-08
0.8875661.6707521.414005e-08
0.8898421.6706761.417628e-08
0.8921231.67061.421260e-08
0.8944111.6705241.424902e-08
0.8967041.6704491.428552e-08
0.8990031.6703731.432213e-08
0.91.6703411.433800e-08
0.9013081.6702991.455710e-08
0.9036191.6702241.494422e-08
0.9059361.670151.533234e-08
0.9082581.6700761.572145e-08
0.9105871.6700021.611157e-08
0.9129221.6699281.650268e-08
0.9152631.6698551.689479e-08
0.9176091.6697821.728791e-08
0.9199621.6697091.768204e-08
0.9223211.6696361.807718e-08
0.9246861.6695641.847333e-08
0.9270561.6694921.887050e-08
0.9294331.669421.926868e-08
0.9318161.6693491.966789e-08
0.9342061.6692772.006812e-08
0.9366011.6692062.046937e-08
0.9390021.6691352.087166e-08
0.941411.6690652.127497e-08
0.9438241.6689942.167932e-08
0.9462441.6689242.208471e-08
0.948671.6688542.249114e-08
0.951.6688162.271400e-08
0.9511021.6687842.274034e-08
0.9535411.6687152.279862e-08
0.9559851.6686452.285705e-08
0.9584371.6685762.291563e-08
0.9608941.6685072.297437e-08
0.9633581.6684392.303325e-08
0.9658281.668372.309228e-08
0.9683041.6683022.315147e-08
0.9707871.6682342.321080e-08
0.9732761.6681662.327029e-08
0.9757711.6680982.332993e-08
0.9782731.6680312.338973e-08
0.9807811.6679632.344967e-08
0.9832961.6678962.350978e-08
0.9858171.6678292.357003e-08
0.9883451.6677632.363044e-08
0.9908791.6676962.369100e-08
0.9934191.667632.375172e-08
0.9959671.6675642.381260e-08
0.998521.6674982.387363e-08
11.667462.390900e-08
1.001081.6674322.375384e-08
1.003651.6673662.338521e-08
1.006221.6673012.301563e-08
1.00881.6672362.264510e-08
1.011391.667172.227362e-08
1.013981.6671062.190119e-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
—