Optical constants

Refractive index of E-FD10 (HOYA)

E-FD10: 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. Note: k data cover 370-1550 nm only; k = 0 elsewhere in the n range 365.01-1013.98 nm.

At one wavelength

Range 0.365–1.014 µm
Refractive index n
1.72824
Extinction coefficient k
2.09233e-08
Permittivity ε1
2.98683
Permittivity ε2
7.23213e-08
Absorption coefficient α
0.00447465 cm⁻¹
Penetration depth δ = λ/(2πk)
4.46962e+09 nm
Abbe number Vd
28.32
Chromatic dispersion dn/dλ
-0.129208 µm⁻¹
Group index ng
1.80417
Group velocity dispersion
262.255 fs²/mm
Dispersion parameter D
-1430.74 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

# E-FD10 (HOYA): E-FD10
hoya_e_fd10 = ls.fetch_refractiveindex("specs", "HOYA-optical", "E-FD10", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_e_fd10.range_nm)  # (365.01, 1013.98) nm
eps = hoya_e_fd10.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=2.881518−0.013228312⁢λ2.0+0.03145559⁢λ−2.0+0.0026851666⁢λ−4.0−0.00022577544⁢λ−6.0+2.4693268×10-5⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.881518
C2-0.013228312
C32.0
C40.03145559
C5-2.0
C60.0026851666
C7-4.0
C8-0.00022577544
C9-6.0
C102.4693268e-05
C11-8.0

Comments and conditions

General glass Type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -3.45505e-07 0.0 0.0 0.0 0.0 0.0
nd
1.72825
Vd
28.32
glass code
728283
density
value: 3070
thermal expansion
value: 9e-06, temperature range: 243 343; value: 1.09e-05, temperature range: 293 573
dPgF
0.0085
resistance
acid: 1.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -1.97e-07 K⁻¹ at 633 nm
Notes on the source data (kept exactly as published):
  • k data cover 370-1550 nm only; k = 0 elsewhere in the n range 365.01-1013.98 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
E-FD10 (HOYA), E-FD10: n and k versus wavelength
λ (µm)nk
0.365011.8027820
0.3659461.801980
0.3668841.8011870
0.3678251.8004020
0.3687681.7996260
0.3697131.7988570
0.371.7986265.252100e-06
0.3706611.7980965.044572e-06
0.3716121.7973444.746358e-06
0.3725651.7965994.447378e-06
0.373521.7958614.147633e-06
0.3744771.7951313.847118e-06
0.3754381.7944093.545833e-06
0.37641.7936943.243776e-06
0.3773651.7929862.940944e-06
0.3783331.7922852.637336e-06
0.3793031.7915912.332949e-06
0.381.7910982.114200e-06
0.3802751.7909042.082523e-06
0.381251.7902241.970375e-06
0.3822281.789551.857939e-06
0.3832081.7888831.745216e-06
0.384191.7882231.632203e-06
0.3851761.7875681.518900e-06
0.3861631.7869211.405307e-06
0.3871531.7862791.291422e-06
0.3881461.7856431.177246e-06
0.3891411.7850141.062777e-06
0.391.7844779.639800e-07
0.3901391.784399.576244e-07
0.3911391.7837739.118225e-07
0.3921421.7831618.659032e-07
0.3931471.7825558.198661e-07
0.3941551.7819547.737111e-07
0.3951661.7813597.274376e-07
0.3961791.780776.810456e-07
0.3971951.7801866.345345e-07
0.3982131.7796075.879043e-07
0.3992341.7790345.411544e-07
0.41.7786085.061000e-07
0.4002581.7784655.023763e-07
0.4012841.7779024.875670e-07
0.4023131.7773444.727198e-07
0.4033451.7767914.578345e-07
0.4043791.7762434.429110e-07
0.4054161.7756994.279492e-07
0.4064551.7751614.129491e-07
0.4074971.7746273.979106e-07
0.4085421.7740973.828334e-07
0.409591.7735733.677176e-07
0.410641.7730533.525631e-07
0.4116931.7725373.373697e-07
0.4127481.7720263.221374e-07
0.4138061.7715193.068660e-07
0.4148671.7710172.915554e-07
0.4159311.7705192.762056e-07
0.4169981.7700252.608164e-07
0.4180671.7695352.453878e-07
0.4191391.7690492.299196e-07
0.421.7686632.174900e-07
0.4202131.7685672.165396e-07
0.4212911.768092.117392e-07
0.4223711.7676162.069264e-07
0.4234541.7671462.021014e-07
0.424541.766681.972639e-07
0.4256281.7662181.924141e-07
0.4267191.765761.875518e-07
0.4278131.7653051.826771e-07
0.428911.7648541.777898e-07
0.430011.7644071.728901e-07
0.4311131.7639631.679778e-07
0.4322181.7635231.630528e-07
0.4333261.7630861.581153e-07
0.4344371.7626531.531651e-07
0.4355511.7622231.482022e-07
0.4366681.7617971.432265e-07
0.4377871.7613741.382381e-07
0.438911.7609541.332370e-07
0.441.7605511.283800e-07
0.4400351.7605381.283303e-07
0.4411631.7601241.267401e-07
0.4422951.7597141.251457e-07
0.4434291.7593071.235473e-07
0.4445661.7589041.219448e-07
0.4457051.7585031.203382e-07
0.4468481.7581051.187275e-07
0.4479941.7577111.171126e-07
0.4491431.7573191.154936e-07
0.4502941.7569311.138704e-07
0.4514491.7565451.122431e-07
0.4526061.7561621.106116e-07
0.4537671.7557821.089759e-07
0.454931.7554051.073360e-07
0.4560971.7550311.056920e-07
0.4572661.7546591.040437e-07
0.4584381.7542911.023912e-07
0.4596141.7539251.007344e-07
0.461.7538051.001900e-07
0.4607921.7535619.927814e-08
0.4619741.7532019.791823e-08
0.4631581.7528439.655482e-08
0.4643461.7524879.518793e-08
0.4655361.7521349.381752e-08
0.466731.7517849.244361e-08
0.4679271.7514369.106617e-08
0.4691261.7510918.968520e-08
0.4703291.7507488.830069e-08
0.4715351.7504088.691263e-08
0.4727441.750078.552101e-08
0.4739561.7497348.412582e-08
0.4751711.7494018.272706e-08
0.476391.749078.132470e-08
0.4776111.7487427.991876e-08
0.4788361.7484157.850920e-08
0.481.7481087.716900e-08
0.4800631.7480927.711501e-08
0.4812941.747777.606668e-08
0.4825281.7474517.501567e-08
0.4837651.7471337.396195e-08
0.4850061.7468187.290554e-08
0.4862491.7465067.184642e-08
0.4874961.7461957.078458e-08
0.4887461.7458876.972002e-08
0.4899991.745586.865273e-08
0.4912551.7452766.758270e-08
0.4925151.7449746.650993e-08
0.4937781.7446746.543441e-08
0.4950441.7443766.435614e-08
0.4963131.7440796.327509e-08
0.4975861.7437856.219128e-08
0.4988611.7434936.110469e-08
0.51.7432356.013500e-08
0.5001411.7432036.004001e-08
0.5014231.7429155.917328e-08
0.5027091.7426295.830432e-08
0.5039971.7423445.743313e-08
0.505291.7420625.655971e-08
0.5065851.7417815.568405e-08
0.5078841.7415035.480615e-08
0.5091861.7412265.392599e-08
0.5104921.7409515.304358e-08
0.5118011.7406785.215890e-08
0.5131131.7404065.127196e-08
0.5144291.7401365.038274e-08
0.5157481.7398694.949125e-08
0.517071.7396024.859746e-08
0.5183961.7393384.770139e-08
0.5197251.7390754.680302e-08
0.5210571.7388144.590234e-08
0.5223931.7385554.499936e-08
0.5237331.7382974.409406e-08
0.5250761.7380424.318643e-08
0.5264221.7377874.227649e-08
0.5277721.7375354.136420e-08
0.5291251.7372834.044958e-08
0.5304811.7370343.953262e-08
0.5318421.7367863.861330e-08
0.5332051.736543.769163e-08
0.5345721.7362953.676759e-08
0.5359431.7360523.584119e-08
0.5373171.735813.491240e-08
0.5386951.735573.398124e-08
0.5400761.7353323.304769e-08
0.5414611.7350953.211175e-08
0.5428491.7348593.117340e-08
0.5442411.7346253.023265e-08
0.5456361.7343922.928949e-08
0.5470351.7341612.834391e-08
0.5484381.7339312.739591e-08
0.5498441.7337032.644547e-08
0.551.7336782.634000e-08
0.5512541.7334762.615939e-08
0.5526671.7332512.595577e-08
0.5540841.7330262.575164e-08
0.5555051.7328042.554698e-08
0.5569291.7325822.534179e-08
0.5583571.7323622.513608e-08
0.5597891.7321442.492985e-08
0.5612241.7319262.472308e-08
0.5626631.731712.451578e-08
0.5641061.7314962.430796e-08
0.5655521.7312822.409959e-08
0.5670021.731072.389070e-08
0.5684561.730862.368127e-08
0.5699131.730652.347130e-08
0.5713741.7304422.326079e-08
0.5728391.7302352.304975e-08
0.5743081.7300292.283816e-08
0.5757811.7298252.262603e-08
0.5772571.7296212.241336e-08
0.5787371.7294192.220014e-08
0.5802211.7292192.198638e-08
0.5817091.7290192.177206e-08
0.58321.7288212.155720e-08
0.5846951.7286232.134179e-08
0.5861951.7284272.112582e-08
0.5876971.7282322.090930e-08
0.5892041.7280382.069222e-08
0.5907151.7278462.047459e-08
0.592231.7276542.025640e-08
0.5937481.7274642.003765e-08
0.595271.7272751.981834e-08
0.5967971.7270871.959847e-08
0.5983271.72691.937804e-08
0.5998611.7267141.915704e-08
0.61.7266971.913700e-08
0.6013991.7265291.947252e-08
0.6029411.7263451.984235e-08
0.6044871.7261622.021312e-08
0.6060371.7259812.058485e-08
0.6075911.72582.095752e-08
0.6091481.7256212.133116e-08
0.610711.7254422.170575e-08
0.6122761.7252652.208130e-08
0.6138461.7250882.245781e-08
0.615421.7249132.283529e-08
0.6169981.7247382.321374e-08
0.618581.7245652.359316e-08
0.6201661.7243932.397355e-08
0.6217561.7242212.435491e-08
0.623351.7240512.473726e-08
0.6249481.7238812.512058e-08
0.6265511.7237132.550489e-08
0.6281571.7235452.589018e-08
0.6297681.7233782.627646e-08
0.6313821.7232132.666373e-08
0.6330011.7230482.705200e-08
0.6346241.7228842.744125e-08
0.6362511.7227212.783151e-08
0.6378831.7225592.822277e-08
0.6395181.7223982.861503e-08
0.6411581.7222382.900830e-08
0.6428021.7220782.940257e-08
0.644451.721922.979786e-08
0.6461021.7217633.019416e-08
0.6477591.7216063.059147e-08
0.649421.721453.098981e-08
0.651.7213963.112900e-08
0.6510851.7212953.105943e-08
0.6527541.7211413.095235e-08
0.6544281.7209883.084501e-08
0.6561061.7208353.073738e-08
0.6577881.7206843.062948e-08
0.6594741.7205333.052131e-08
0.6611651.7203833.041286e-08
0.6628611.7202343.030413e-08
0.664561.7200863.019512e-08
0.6662641.7199383.008583e-08
0.6679721.7197922.997626e-08
0.6696851.7196462.986641e-08
0.6714021.7195012.975628e-08
0.6731231.7193562.964586e-08
0.6748491.7192132.953517e-08
0.676581.719072.942419e-08
0.6783141.7189282.931292e-08
0.6800531.7187872.920137e-08
0.6817971.7186462.908953e-08
0.6835451.7185072.897741e-08
0.6852981.7183682.886500e-08
0.6870551.7182292.875230e-08
0.6888161.7180922.863931e-08
0.6905831.7179552.852603e-08
0.6923531.7178192.841246e-08
0.6941281.7176832.829861e-08
0.6959081.7175492.818445e-08
0.6976921.7174152.807001e-08
0.6994811.7172822.795527e-08
0.71.7172432.792200e-08
0.7012751.7171492.751478e-08
0.7030731.7170172.694038e-08
0.7048751.7168862.636450e-08
0.7066831.7167552.578715e-08
0.7084951.7166262.520832e-08
0.7103111.7164962.462800e-08
0.7121321.7163682.404620e-08
0.7139581.716242.346290e-08
0.7157891.7161132.287811e-08
0.7176241.7159862.229181e-08
0.7194641.715862.170402e-08
0.7213091.7157352.111472e-08
0.7231581.7156112.052390e-08
0.7250121.7154871.993158e-08
0.7268711.7153631.933773e-08
0.7287351.715241.874236e-08
0.7306031.7151181.814546e-08
0.7324771.7149971.754704e-08
0.7343551.7148761.694708e-08
0.7362371.7147551.634558e-08
0.7381251.7146361.574254e-08
0.7400181.7145171.513795e-08
0.7419151.7143981.453181e-08
0.7438171.714281.392412e-08
0.7457241.7141631.331487e-08
0.7476361.7140461.270406e-08
0.7495531.713931.209168e-08
0.751.7139031.194900e-08
0.7514751.7138141.197250e-08
0.7534021.7136991.200320e-08
0.7553341.7135841.203398e-08
0.757271.713471.206484e-08
0.7592121.7133571.209578e-08
0.7611591.7132441.212679e-08
0.763111.7131321.215789e-08
0.7650671.713021.218906e-08
0.7670281.7129091.222032e-08
0.7689951.7127981.225165e-08
0.7709671.7126881.228307e-08
0.7729431.7125781.231456e-08
0.7749251.7124691.234614e-08
0.7769121.712361.237780e-08
0.7789041.7122521.240954e-08
0.781.7121931.242700e-08
0.7809011.7121441.244133e-08
0.7829031.7120371.247316e-08
0.7849111.711931.250508e-08
0.7869231.7118241.253708e-08
0.7889411.7117191.256916e-08
0.7909641.7116131.260132e-08
0.7929921.7115091.263357e-08
0.7950251.7114041.266589e-08
0.7970631.7113011.269830e-08
0.7991071.7111971.273080e-08
0.81.7111521.274500e-08
0.8011561.7110951.276341e-08
0.803211.7109921.279614e-08
0.8052691.710891.282896e-08
0.8073341.7107891.286185e-08
0.8094041.7106881.289484e-08
0.8114791.7105871.292790e-08
0.813561.7104871.296105e-08
0.8156461.7103881.299429e-08
0.8177371.7102881.302761e-08
0.8198341.710191.306102e-08
0.8219361.7100911.309451e-08
0.8240431.7099931.312809e-08
0.8261561.7098961.316175e-08
0.8282741.7097991.319550e-08
0.831.709721.322300e-08
0.8303981.7097021.309458e-08
0.8325271.7096061.240735e-08
0.8346621.709511.171837e-08
0.8368021.7094141.102761e-08
0.8389471.7093191.033509e-08
0.8410981.7092259.640788e-09
0.8432551.7091318.944708e-09
0.8454171.7090378.246844e-09
0.8475841.7089437.547190e-09
0.8497581.708856.845742e-09
0.851.708846.767500e-09
0.8519361.7087586.782917e-09
0.8541211.7086656.800309e-09
0.8563111.7085736.817745e-09
0.8585061.7084826.835226e-09
0.8607071.7083916.852752e-09
0.8629141.70836.870323e-09
0.8651271.7082096.887939e-09
0.8673451.7081196.905599e-09
0.8695691.7080296.923306e-09
0.8717981.707946.941057e-09
0.8740331.7078516.958855e-09
0.8762741.7077626.976697e-09
0.8785211.7076746.994586e-09
0.8807741.7075867.012520e-09
0.8830321.7074987.030501e-09
0.8852961.7074117.048527e-09
0.8875661.7073247.066600e-09
0.8898421.7072387.084719e-09
0.8921231.7071517.102884e-09
0.8944111.7070657.121096e-09
0.8967041.706987.139355e-09
0.8990031.7068947.157661e-09
0.91.7068577.165600e-09
0.9013081.7068097.176011e-09
0.9036191.7067257.194406e-09
0.9059361.706647.212848e-09
0.9082581.7065567.231337e-09
0.9105871.7064727.249874e-09
0.9129221.7063897.268458e-09
0.9152631.7063067.287090e-09
0.9176091.7062237.305770e-09
0.9199621.706147.324498e-09
0.9223211.7060587.343273e-09
0.9246861.7059767.362097e-09
0.9270561.7058947.380969e-09
0.9294331.7058137.399890e-09
0.9318161.7057317.418859e-09
0.9342061.7056517.437876e-09
0.9366011.705577.456943e-09
0.9390021.705497.476058e-09
0.941411.7054097.495222e-09
0.9438241.705337.514436e-09
0.9462441.705257.533698e-09
0.948671.7051717.553010e-09
0.951.7051287.563600e-09
0.9511021.7050927.572374e-09
0.9535411.7050137.591790e-09
0.9559851.7049357.611256e-09
0.9584371.7048567.630772e-09
0.9608941.7047787.650338e-09
0.9633581.70477.669954e-09
0.9658281.7046237.689620e-09
0.9683041.7045467.709337e-09
0.9707871.7044697.729104e-09
0.9732761.7043927.748922e-09
0.9757711.7043157.768791e-09
0.9782731.7042397.788710e-09
0.9807811.7041637.808681e-09
0.9832961.7040877.828703e-09
0.9858171.7040117.848776e-09
0.9883451.7039367.868901e-09
0.9908791.7038617.889077e-09
0.9934191.7037867.909306e-09
0.9959671.7037117.929586e-09
0.998521.7036367.949918e-09
11.7035937.961700e-09
1.001081.7035627.970302e-09
1.003651.7034887.990738e-09
1.006221.7034148.011227e-09
1.00881.703348.031768e-09
1.011391.7032668.052362e-09
1.013981.7031938.073009e-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
—