Optical constants

Refractive index of FF8 (HOYA)

FF8: 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
1.7521
Extinction coefficient k
7.94272e-09
Permittivity ε1
3.06987
Permittivity ε2
2.78329e-08
Absorption coefficient α
0.00169862 cm⁻¹
Penetration depth δ = λ/(2πk)
1.17742e+10 nm
Abbe number Vd
25.048
Chromatic dispersion dn/dλ
-0.150019 µm⁻¹
Group index ng
1.84025
Group velocity dispersion
312.392 fs²/mm
Dispersion parameter D
-1704.26 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

# FF8 (HOYA): FF8
hoya_ff8 = ls.fetch_refractiveindex("specs", "HOYA-optical", "FF8", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hoya_ff8.range_nm)  # (365.01, 1013.98) nm
eps = hoya_ff8.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=2.9564361−0.019762195⁢λ2.0+0.029878823⁢λ−2.0+0.0051830852⁢λ−4.0−0.00054202389⁢λ−6.0+4.8463245×10-5⁢λ−8.0

Valid from 0.36501 to 1.01398 µm.

Coefficients as stored
CiValue
C12.9564361
C2-0.019762195
C32.0
C40.029878823
C5-2.0
C60.0051830852
C7-4.0
C8-0.00054202389
C9-6.0
C104.8463245e-05
C11-8.0

Comments and conditions

General glass Type

Conditions

temperature
293 K

Properties

thermal dispersion
type: formula A, coefficients: -3.67e-06 1.1e-08 -3.23e-11 7.57e-07 9.89e-10 0.306
nd
1.75211
Vd
25.05
glass code
752251
density
value: 3140
thermal expansion
value: 6.1e-06, temperature range: 243 343; value: 7e-06, temperature range: 293 573
dPgF
0.0159
resistance
acid: 1.0; stain: 1.0; climatic: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 293.0 K): dn/dT = -7.07e-07 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
FF8 (HOYA), FF8: n and k versus wavelength
λ (µm)nk
0.365011.8424646.988748e-06
0.3659461.8414446.417649e-06
0.3668841.8404355.845087e-06
0.3678251.8394395.271056e-06
0.3687681.8384544.695554e-06
0.3697131.837484.118576e-06
0.371.8371873.943700e-06
0.3706611.8365173.796706e-06
0.3716121.8355663.585479e-06
0.3725651.8346253.373709e-06
0.373521.8336953.161397e-06
0.3744771.8327752.948540e-06
0.3754381.8318652.735138e-06
0.37641.8309662.521188e-06
0.3773651.8300772.306690e-06
0.3783331.8291972.091642e-06
0.3793031.8283271.876042e-06
0.381.8277091.721100e-06
0.3802751.8274671.698517e-06
0.381251.8266151.618567e-06
0.3822281.8257731.538412e-06
0.3832081.824941.458052e-06
0.384191.8241161.377485e-06
0.3851761.8233011.296712e-06
0.3861631.8224941.215731e-06
0.3871531.8216961.134543e-06
0.3881461.8209061.053147e-06
0.3891411.8201249.715422e-07
0.391.8194589.011100e-07
0.3901391.8193518.959911e-07
0.3911391.8185858.591020e-07
0.3921421.8178278.221182e-07
0.3931471.8170777.850396e-07
0.3941551.8163357.478660e-07
0.3951661.81567.105970e-07
0.3961791.8148726.732325e-07
0.3971951.8141526.357721e-07
0.3982131.8134395.982158e-07
0.3992341.8127325.605631e-07
0.41.8122095.323300e-07
0.4002581.8120335.284986e-07
0.4012841.8113415.132608e-07
0.4023131.8106554.979840e-07
0.4033451.8099764.826681e-07
0.4043791.8093044.673128e-07
0.4054161.8086384.519182e-07
0.4064551.8079784.364841e-07
0.4074971.8073254.210104e-07
0.4085421.8066774.054971e-07
0.409591.8060363.899440e-07
0.410641.8054013.743510e-07
0.4116931.8047723.587180e-07
0.4127481.8041483.430450e-07
0.4138061.8035313.273318e-07
0.4148671.8029193.115782e-07
0.4159311.8023122.957843e-07
0.4169981.8017112.799499e-07
0.4180671.8011162.640749e-07
0.4191391.8005262.481592e-07
0.421.8000572.353700e-07
0.4202131.7999412.343840e-07
0.4212911.7993622.294042e-07
0.4223711.7987872.244117e-07
0.4234541.7982182.194063e-07
0.424541.7976532.143881e-07
0.4256281.7970942.093570e-07
0.4267191.796542.043130e-07
0.4278131.795991.992561e-07
0.428911.7954451.941863e-07
0.430011.7949051.891034e-07
0.4311131.7943691.840075e-07
0.4322181.7938381.788985e-07
0.4333261.7933121.737765e-07
0.4344371.7927891.686413e-07
0.4355511.7922721.634929e-07
0.4366681.7917581.583313e-07
0.4377871.7912491.531565e-07
0.438911.7907451.479685e-07
0.441.790261.429300e-07
0.4400351.7902441.428414e-07
0.4411631.7897481.400066e-07
0.4422951.7892551.371644e-07
0.4434291.7887671.343150e-07
0.4445661.7882821.314583e-07
0.4457051.7878021.285943e-07
0.4468481.7873251.257229e-07
0.4479941.7868531.228441e-07
0.4491431.7863841.199580e-07
0.4502941.7859191.170644e-07
0.4514491.7854571.141635e-07
0.4526061.7849991.112551e-07
0.4537671.7845451.083392e-07
0.454931.7840951.054159e-07
0.4560971.7836481.024851e-07
0.4572661.7832049.954677e-08
0.4584381.7827649.660090e-08
0.4596141.7823279.364748e-08
0.461.7821859.267700e-08
0.4607921.7818949.190841e-08
0.4619741.7814649.076216e-08
0.4631581.7810378.961297e-08
0.4643461.7806148.846084e-08
0.4655361.7801948.730575e-08
0.466731.7797778.614770e-08
0.4679271.7793638.498668e-08
0.4691261.7789528.382269e-08
0.4703291.7785458.265571e-08
0.4715351.778148.148573e-08
0.4727441.7777398.031276e-08
0.4739561.777347.913678e-08
0.4751711.7769457.795779e-08
0.476391.7765527.677577e-08
0.4776111.7761627.559072e-08
0.4788361.7757767.440263e-08
0.481.7754117.327300e-08
0.4800631.7753927.320578e-08
0.4812941.775017.190057e-08
0.4825281.7746327.059202e-08
0.4837651.7742566.928010e-08
0.4850061.7738836.796483e-08
0.4862491.7735136.664618e-08
0.4874961.7731466.532415e-08
0.4887461.7727816.399873e-08
0.4899991.7724196.266991e-08
0.4912551.7720596.133769e-08
0.4925151.7717026.000204e-08
0.4937781.7713475.866298e-08
0.4950441.7709955.732048e-08
0.4963131.7706455.597454e-08
0.4975861.7702985.462515e-08
0.4988611.7699545.327230e-08
0.51.7696495.206500e-08
0.5001411.7696115.196797e-08
0.5014231.7692725.108256e-08
0.5027091.7689345.019488e-08
0.5039971.7685994.930493e-08
0.505291.7682664.841269e-08
0.5065851.7679364.751817e-08
0.5078841.7676084.662135e-08
0.5091861.7672824.572224e-08
0.5104921.7669584.482082e-08
0.5118011.7666364.391709e-08
0.5131131.7663174.301104e-08
0.5144291.7664.210266e-08
0.5157481.7656854.119196e-08
0.517071.7653724.027893e-08
0.5183961.7650623.936355e-08
0.5197251.7647533.844582e-08
0.5210571.7644473.752575e-08
0.5223931.7641423.660331e-08
0.5237331.763843.567851e-08
0.5250761.7635393.475133e-08
0.5264221.7632413.382178e-08
0.5277721.7629453.288985e-08
0.5291251.762653.195553e-08
0.5304811.7623583.101881e-08
0.5318421.7620673.007969e-08
0.5332051.7617792.913816e-08
0.5345721.7614922.819422e-08
0.5359431.7612082.724786e-08
0.5373171.7609252.629907e-08
0.5386951.7606442.534785e-08
0.5400761.7603642.439419e-08
0.5414611.7600872.343808e-08
0.5428491.7598122.247952e-08
0.5442411.7595382.151851e-08
0.5456361.7592662.055503e-08
0.5470351.7589961.958908e-08
0.5484381.7587271.862066e-08
0.5498441.758461.764975e-08
0.551.7584311.754200e-08
0.5512541.7581951.722192e-08
0.5526671.7579321.686108e-08
0.5540841.757671.649932e-08
0.5555051.7574111.613662e-08
0.5569291.7571521.577300e-08
0.5583571.7568961.540845e-08
0.5597891.7566411.504296e-08
0.5612241.7563871.467653e-08
0.5626631.7561351.430916e-08
0.5641061.7558851.394085e-08
0.5655521.7556371.357160e-08
0.5670021.755391.320140e-08
0.5684561.7551441.283025e-08
0.5699131.75491.245815e-08
0.5713741.7546581.208510e-08
0.5728391.7544171.171109e-08
0.5743081.7541781.133612e-08
0.5757811.753941.096019e-08
0.5772571.7537031.058329e-08
0.5787371.7534691.020543e-08
0.5802211.7532359.826601e-09
0.5817091.7530039.446800e-09
0.58321.7527739.066024e-09
0.5846951.7525438.684273e-09
0.5861951.7523168.301542e-09
0.5876971.7520897.917831e-09
0.5892041.7518647.533135e-09
0.5907151.7516417.147453e-09
0.592231.7514196.760782e-09
0.5937481.7511986.373120e-09
0.595271.7509785.984464e-09
0.5967971.750765.594811e-09
0.5983271.7505435.204160e-09
0.5998611.7503284.812507e-09
0.61.7503084.777000e-09
0.6013991.7501144.788138e-09
0.6029411.7499014.800416e-09
0.6044871.7496894.812724e-09
0.6060371.7494794.825064e-09
0.6075911.749274.837436e-09
0.6091481.7490624.849840e-09
0.610711.7488554.862275e-09
0.6122761.748654.874742e-09
0.6138461.7484464.887241e-09
0.615421.7482434.899773e-09
0.6169981.7480414.912336e-09
0.618581.747844.924932e-09
0.6201661.7476414.937560e-09
0.6217561.7474434.950220e-09
0.623351.7472464.962913e-09
0.6249481.747054.975638e-09
0.6265511.7468554.988396e-09
0.6281571.7466625.001186e-09
0.6297681.7464695.014010e-09
0.6313821.7462785.026866e-09
0.6330011.7460885.039755e-09
0.6346241.7458995.052677e-09
0.6362511.7457115.065633e-09
0.6378831.7455245.078621e-09
0.6395181.7453385.091643e-09
0.6411581.7451545.104699e-09
0.6428021.744975.117788e-09
0.644451.7447875.130910e-09
0.6461021.7446065.144066e-09
0.6477591.7444255.157256e-09
0.649421.7442465.170479e-09
0.651.7441835.175100e-09
0.6510851.7440675.183737e-09
0.6527541.743895.197028e-09
0.6544281.7437135.210354e-09
0.6561061.7435385.223713e-09
0.6577881.7433635.237107e-09
0.6594741.743195.250535e-09
0.6611651.7430185.263998e-09
0.6628611.7428465.277495e-09
0.664561.7426755.291027e-09
0.6662641.7425065.304594e-09
0.6679721.7423375.318195e-09
0.6696851.7421695.331831e-09
0.6714021.7420035.345502e-09
0.6731231.7418375.359209e-09
0.6748491.7416725.372950e-09
0.676581.7415085.386727e-09
0.6783141.7413455.400539e-09
0.6800531.7411825.414386e-09
0.6817971.7410215.428269e-09
0.6835451.7408615.442187e-09
0.6852981.7407015.456141e-09
0.6870551.7405425.470131e-09
0.6888161.7403855.484157e-09
0.6905831.7402285.498219e-09
0.6923531.7400715.512316e-09
0.6941281.7399165.526450e-09
0.6959081.7397625.540620e-09
0.6976921.7396085.554827e-09
0.6994811.7394555.569070e-09
0.71.7394115.573200e-09
0.7012751.7393036.040958e-09
0.7030731.7391526.700762e-09
0.7048751.7390017.362257e-09
0.7066831.7388528.025449e-09
0.7084951.7387038.690340e-09
0.7103111.7385559.356937e-09
0.7121321.7384081.002524e-08
0.7139581.7382611.069526e-08
0.7157891.7381161.136700e-08
0.7176241.7379711.204046e-08
0.7194641.7378261.271564e-08
0.7213091.7376831.339256e-08
0.7231581.737541.407121e-08
0.7250121.7373981.475161e-08
0.7268711.7372571.543374e-08
0.7287351.7371161.611763e-08
0.7306031.7369771.680327e-08
0.7324771.7368371.749067e-08
0.7343551.7366991.817983e-08
0.7362371.7365611.887076e-08
0.7381251.7364241.956345e-08
0.7400181.7362882.025793e-08
0.7419151.7361522.095418e-08
0.7438171.7360172.165223e-08
0.7457241.7358832.235206e-08
0.7476361.7357492.305368e-08
0.7495531.7356162.375710e-08
0.751.7355862.392100e-08
0.7514751.7354842.396806e-08
0.7534021.7353532.402952e-08
0.7553341.7352212.409114e-08
0.757271.7350912.415292e-08
0.7592121.7349612.421486e-08
0.7611591.7348322.427696e-08
0.763111.7347042.433921e-08
0.7650671.7345762.440163e-08
0.7670281.7344492.446420e-08
0.7689951.7343222.452694e-08
0.7709671.7341962.458983e-08
0.7729431.734072.465289e-08
0.7749251.7339462.471611e-08
0.7769121.7338212.477949e-08
0.7789041.7336982.484304e-08
0.781.733632.487800e-08
0.7809011.7335742.461889e-08
0.7829031.7334522.404316e-08
0.7849111.733332.346595e-08
0.7869231.7332092.288726e-08
0.7889411.7330882.230709e-08
0.7909641.7329672.172542e-08
0.7929921.7328482.114227e-08
0.7950251.7327282.055762e-08
0.7970631.732611.997148e-08
0.7991071.7324921.938383e-08
0.81.732441.912700e-08
0.8011561.7323741.941000e-08
0.803211.7322571.991299e-08
0.8052691.732142.041727e-08
0.8073341.7320242.092284e-08
0.8094041.7319092.142971e-08
0.8114791.7317942.193788e-08
0.813561.7316792.244735e-08
0.8156461.7315652.295813e-08
0.8177371.7314522.347021e-08
0.8198341.7313392.398361e-08
0.8219361.7312262.449833e-08
0.8240431.7311142.501437e-08
0.8261561.7310022.553173e-08
0.8282741.7308912.605041e-08
0.831.7308012.647300e-08
0.8303981.730782.648569e-08
0.8325271.730672.655361e-08
0.8346621.730562.662170e-08
0.8368021.7304512.668997e-08
0.8389471.7303422.675841e-08
0.8410981.7302342.682703e-08
0.8432551.7301262.689583e-08
0.8454171.7300182.696480e-08
0.8475841.7299112.703394e-08
0.8497581.7298042.710327e-08
0.851.7297932.711100e-08
0.8519361.7296982.717273e-08
0.8541211.7295922.724237e-08
0.8563111.7294872.731218e-08
0.8585061.7293822.738218e-08
0.8607071.7292772.745235e-08
0.8629141.7291732.752270e-08
0.8651271.7290692.759324e-08
0.8673451.7289662.766395e-08
0.8695691.7288632.773485e-08
0.8717981.728762.780593e-08
0.8740331.7286582.787719e-08
0.8762741.7285562.794863e-08
0.8785211.7284552.802026e-08
0.8807741.7283542.809207e-08
0.8830321.7282532.816406e-08
0.8852961.7281522.823624e-08
0.8875661.7280522.830860e-08
0.8898421.7279532.838115e-08
0.8921231.7278532.845389e-08
0.8944111.7277542.852681e-08
0.8967041.7276562.859992e-08
0.8990031.7275582.867321e-08
0.91.7275152.870500e-08
0.9013081.727462.874672e-08
0.9036191.7273622.882044e-08
0.9059361.7272652.889435e-08
0.9082581.7271682.896844e-08
0.9105871.7270712.904273e-08
0.9129221.7269752.911721e-08
0.9152631.7268792.919188e-08
0.9176091.7267832.926674e-08
0.9199621.7266882.934179e-08
0.9223211.7265932.941703e-08
0.9246861.7264982.949247e-08
0.9270561.7264042.956810e-08
0.9294331.726312.964392e-08
0.9318161.7262162.971994e-08
0.9342061.7261222.979616e-08
0.9366011.7260292.987257e-08
0.9390021.7259362.994917e-08
0.941411.7258433.002597e-08
0.9438241.7257513.010297e-08
0.9462441.7256583.018017e-08
0.948671.7255673.025756e-08
0.951.7255163.030000e-08
0.9511021.7254753.033515e-08
0.9535411.7253833.041294e-08
0.9559851.7252923.049094e-08
0.9584371.7252013.056913e-08
0.9608941.7251113.064752e-08
0.9633581.725023.072611e-08
0.9658281.724933.080490e-08
0.9683041.724843.088390e-08
0.9707871.7247513.096310e-08
0.9732761.7246613.104250e-08
0.9757711.7245723.112210e-08
0.9782731.7244833.120191e-08
0.9807811.7243953.128192e-08
0.9832961.7243063.136214e-08
0.9858171.7242183.144257e-08
0.9883451.724133.152320e-08
0.9908791.7240423.160404e-08
0.9934191.7239543.168508e-08
0.9959671.7238673.176633e-08
0.998521.723783.184779e-08
11.7237293.189500e-08
1.001081.7236923.192946e-08
1.003651.7236063.201134e-08
1.006221.7235193.209343e-08
1.00881.7234333.217573e-08
1.011391.7233463.225824e-08
1.013981.723263.234096e-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
—