Optical constants

Refractive index of SF4 (HIKARI)

SF4: n,k 0.4–0.7 µm

Data
formula 3 + tabulated k
Range
0.4–0.7 µm
Temperature
293 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.4–0.7 µm
Refractive index n
1.75519
Extinction coefficient k
4.67830e-09
Permittivity ε1
3.08071
Permittivity ε2
1.64226e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
27.641
Chromatic dispersion dn/dλ
-0.137173 µm⁻¹
Group index ng
1.8358
Group velocity dispersion
278.838 fs²/mm
Dispersion parameter D
-1521.21 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

# SF4 (HIKARI): SF4
hikari_sf4 = ls.fetch_refractiveindex("specs", "HIKARI-optical", "SF4", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(hikari_sf4.range_nm)  # (400, 700) nm
eps = hikari_sf4.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=2.988119−0.03043514⁢λ2.0+0.0237723⁢λ−2.0+0.005097428⁢λ−4.0−0.0004379463⁢λ−6.0+3.025835×10-5⁢λ−8.0

Valid from 0.4 to 0.7 µm.

Coefficients as stored
CiValue
C12.988119
C2-0.03043514
C32.0
C40.0237723
C5-2.0
C60.005097428
C7-4.0
C8-0.0004379463
C9-6.0
C103.025835e-05
C11-8.0

Comments and conditions

Conditions

temperature
293 K

Properties

nd
1.755200
Vd
27.641217
glass code
755276
glass status
preferred
density
value: 4790
thermal expansion
value: 8.5e-06, temperature range: 243 343
dPgF
0.0055

References

Cite

NIKON Zemax catalog 2017-11 (obtained from http://www.nikon.com); See also HIKARI glass data sheets; Data from the refractiveindex.info database (M. N. Polyanskiy, Sci. Data 11, 94 (2024), doi:10.1038/s41597-023-02898-2)

Data

Computed on 408 wavelengths, the same grid as the API and the library
SF4 (HIKARI), SF4: n and k versus wavelength
λ (µm)nk
0.41.8083684.800800e-07
0.4005611.8080464.730099e-07
0.4011241.8077264.659298e-07
0.4016871.8074084.588398e-07
0.402251.8070914.517398e-07
0.4028151.8067754.446299e-07
0.403381.8064614.375100e-07
0.4039461.8061484.303801e-07
0.4045131.8058364.232402e-07
0.4050811.8055274.160903e-07
0.405651.8052184.089304e-07
0.4062191.8049114.017604e-07
0.4067891.8046053.945803e-07
0.407361.8043013.873902e-07
0.4079321.8039983.801899e-07
0.4085041.8036963.729796e-07
0.4090781.8033963.657591e-07
0.4096521.8030973.585285e-07
0.4102271.80283.512878e-07
0.4108031.8025033.440369e-07
0.4113791.8022083.367758e-07
0.4119571.8019153.295045e-07
0.4125351.8016233.222231e-07
0.4131141.8013323.149314e-07
0.4136941.8010423.076294e-07
0.4142741.8007543.003172e-07
0.4148561.8004662.929948e-07
0.4154381.8001812.856621e-07
0.4160211.7998962.783191e-07
0.4166051.7996132.709657e-07
0.417191.7993312.636021e-07
0.4177751.799052.562281e-07
0.4183621.798772.488438e-07
0.4189491.7984922.414491e-07
0.4195371.7982142.340440e-07
0.421.7979972.282100e-07
0.4201261.7979382.275149e-07
0.4207151.7976632.242508e-07
0.4213061.797392.209822e-07
0.4218971.7971172.177090e-07
0.4224891.7968462.144311e-07
0.4230821.7965762.111487e-07
0.4236761.7963072.078617e-07
0.4242711.7960392.045701e-07
0.4248661.7957732.012738e-07
0.4254621.7955071.979729e-07
0.426061.7952431.946674e-07
0.4266581.7949791.913572e-07
0.4272561.7947171.880424e-07
0.4278561.7944561.847230e-07
0.4284571.7941961.813989e-07
0.4290581.7939371.780701e-07
0.429661.793681.747366e-07
0.4302631.7934231.713985e-07
0.4308671.7931681.680557e-07
0.4314721.7929131.647082e-07
0.4320771.792661.613560e-07
0.4326841.7924071.579990e-07
0.4332911.7921561.546374e-07
0.4338991.7919061.512711e-07
0.4345081.7916561.479000e-07
0.4351181.7914081.445242e-07
0.4357291.7911611.411437e-07
0.436341.7909151.377584e-07
0.4369531.790671.343684e-07
0.4375661.7904261.309736e-07
0.438181.7901831.275740e-07
0.4387951.7899411.241697e-07
0.4394111.7896991.207606e-07
0.441.789471.175000e-07
0.4400281.7894591.174242e-07
0.4406451.789221.157340e-07
0.4412641.7889821.140414e-07
0.4418831.7887451.123465e-07
0.4425031.7885091.106492e-07
0.4431241.7882731.089495e-07
0.4437461.7880391.072474e-07
0.4443691.7878061.055429e-07
0.4449931.7875731.038360e-07
0.4456171.7873421.021268e-07
0.4462431.7871111.004151e-07
0.4468691.7868829.870104e-08
0.4474961.7866539.698457e-08
0.4481241.7864259.526569e-08
0.4487531.7861999.354439e-08
0.4493831.7859739.182068e-08
0.4500141.7857489.009455e-08
0.4506451.7855248.836600e-08
0.4512781.78538.663502e-08
0.4519111.7850788.490161e-08
0.4525461.7848578.316577e-08
0.4531811.7846368.142749e-08
0.4538171.7844167.968677e-08
0.4544541.7841987.794361e-08
0.4550921.783987.619801e-08
0.455731.7837637.444995e-08
0.456371.7835467.269944e-08
0.4570111.7833317.094647e-08
0.4576521.7831176.919104e-08
0.4582941.7829036.743315e-08
0.4589381.782696.567279e-08
0.4595821.7824786.390996e-08
0.461.7823416.276500e-08
0.4602271.7822676.235775e-08
0.4608731.7820576.119722e-08
0.4615191.7818476.003506e-08
0.4621671.7816385.887127e-08
0.4628161.7814315.770584e-08
0.4634651.7812235.653878e-08
0.4641161.7810175.537008e-08
0.4647671.7808125.419975e-08
0.465421.7806075.302776e-08
0.4660731.7804035.185414e-08
0.4667271.78025.067886e-08
0.4673821.7799984.950194e-08
0.4680381.7797964.832337e-08
0.4686951.7795964.714314e-08
0.4693531.7793964.596125e-08
0.4700121.7791974.477771e-08
0.4706711.7789984.359250e-08
0.4713321.77884.240563e-08
0.4719931.7786044.121710e-08
0.4726561.7784074.002689e-08
0.4733191.7782123.883502e-08
0.4739841.7780173.764147e-08
0.4746491.7778233.644625e-08
0.4753151.777633.524935e-08
0.4759821.7774383.405078e-08
0.476651.7772463.285051e-08
0.4773191.7770553.164857e-08
0.4779891.7768653.044494e-08
0.478661.7766752.923961e-08
0.4793321.7764872.803260e-08
0.481.77632.683200e-08
0.4800051.7762992.682774e-08
0.4806781.7761112.619223e-08
0.4813531.7759242.555583e-08
0.4820281.7757382.491853e-08
0.4827051.7755532.428034e-08
0.4833821.7753692.364125e-08
0.4840611.7751852.300127e-08
0.484741.7750022.236038e-08
0.4854211.7748192.171860e-08
0.4861021.7746372.107592e-08
0.4867841.7744562.043233e-08
0.4874671.7742761.978785e-08
0.4881521.7740961.914245e-08
0.4888371.7739171.849616e-08
0.4895231.7737381.784895e-08
0.490211.7735611.720084e-08
0.4908981.7733831.655181e-08
0.4915871.7732071.590188e-08
0.4922771.7730311.525103e-08
0.4929681.7728561.459927e-08
0.493661.7726811.394660e-08
0.4943531.7725081.329300e-08
0.4950461.7723341.263850e-08
0.4957411.7721621.198307e-08
0.4964371.771991.132672e-08
0.4971341.7718181.066945e-08
0.4978321.7716481.001126e-08
0.498531.7714789.352150e-09
0.499231.7713088.692110e-09
0.4999311.7711398.031144e-09
0.51.7711237.965700e-09
0.5006321.7709717.920343e-09
0.5013351.7708047.869939e-09
0.5020391.7706377.819464e-09
0.5027431.770477.768919e-09
0.5034491.7703057.718302e-09
0.5041551.7701397.667615e-09
0.5048631.7699757.616856e-09
0.5055721.7698117.566026e-09
0.5062811.7696487.515124e-09
0.5069921.7694857.464152e-09
0.5077031.7693237.413107e-09
0.5084161.7691617.361991e-09
0.509131.7697.310803e-09
0.5098441.768847.259544e-09
0.510561.768687.208212e-09
0.5112761.768527.156809e-09
0.5119941.7683627.105333e-09
0.5127121.7682047.053785e-09
0.5134321.7680467.002165e-09
0.5141531.7678896.950472e-09
0.5148741.7677336.898707e-09
0.5155971.7675776.846869e-09
0.5163211.7674226.794958e-09
0.5170451.7672676.742975e-09
0.5177711.7671136.690918e-09
0.5184981.7669596.638788e-09
0.5192251.7668066.586586e-09
0.5199541.7666536.534310e-09
0.5206841.7665016.481960e-09
0.5214151.766356.429537e-09
0.5221471.7661996.377041e-09
0.5228791.7660496.324471e-09
0.5236131.7658996.271827e-09
0.5243481.7657496.219109e-09
0.5250841.7656016.166317e-09
0.5258211.7654526.113451e-09
0.5265591.7653056.060511e-09
0.5272981.7651576.007497e-09
0.5280381.7650115.954408e-09
0.5287791.7648645.901245e-09
0.5295211.7647195.848007e-09
0.5302651.7645745.794694e-09
0.5310091.7644295.741307e-09
0.5317541.7642855.687844e-09
0.5325011.7641415.634307e-09
0.5332481.7639985.580694e-09
0.5339961.7638555.527006e-09
0.5347461.7637135.473243e-09
0.5354961.7635725.419405e-09
0.5362481.763435.365490e-09
0.5370011.763295.311500e-09
0.5377541.763155.257435e-09
0.5385091.763015.203293e-09
0.5392651.7628715.149076e-09
0.5400221.7627325.094782e-09
0.540781.7625945.040412e-09
0.5415391.7624564.985966e-09
0.5422991.7623194.931444e-09
0.543061.7621824.876845e-09
0.5438221.7620464.822169e-09
0.5445851.761914.767416e-09
0.545351.7617744.712587e-09
0.5461151.7616394.657681e-09
0.5468821.7615054.602698e-09
0.5476491.7613714.547637e-09
0.5484181.7612384.492499e-09
0.5491871.7611044.437284e-09
0.5499581.7609724.381992e-09
0.551.7609654.379000e-09
0.550731.760844.384812e-09
0.5515031.7607084.390965e-09
0.5522771.7605774.397126e-09
0.5530521.7604464.403297e-09
0.5538291.7603154.409475e-09
0.5546061.7601864.415663e-09
0.5553841.7600564.421859e-09
0.5561641.7599274.428064e-09
0.5569441.7597984.434277e-09
0.5577261.759674.440499e-09
0.5585091.7595434.446730e-09
0.5592931.7594154.452970e-09
0.5600781.7592884.459219e-09
0.5608641.7591624.465476e-09
0.5616511.7590364.471742e-09
0.5624391.758914.478017e-09
0.5632291.7587854.484300e-09
0.5640191.758664.490593e-09
0.5648111.7585364.496894e-09
0.5656041.7584124.503204e-09
0.5663971.7582894.509523e-09
0.5671921.7581664.515851e-09
0.5679881.7580434.522188e-09
0.5687861.7579214.528533e-09
0.5695841.7577994.534888e-09
0.5703831.7576774.541251e-09
0.5711841.7575564.547624e-09
0.5719861.7574364.554005e-09
0.5727881.7573154.560395e-09
0.5735921.7571964.566795e-09
0.5743971.7570764.573203e-09
0.5752041.7569574.579620e-09
0.5760111.7568384.586046e-09
0.5768191.756724.592481e-09
0.5776291.7566024.598926e-09
0.578441.7564854.605379e-09
0.5792511.7563684.611841e-09
0.5800641.7562514.618313e-09
0.5808791.7561354.624793e-09
0.5816941.7560194.631283e-09
0.582511.7559034.637782e-09
0.5833281.7557884.644290e-09
0.5841471.7556734.650807e-09
0.5849661.7555594.657333e-09
0.5857871.7554454.663868e-09
0.586611.7553314.670413e-09
0.5874331.7552184.676966e-09
0.5882571.7551054.683529e-09
0.5890831.7549924.690101e-09
0.589911.754884.696682e-09
0.5907381.7547684.703273e-09
0.5915671.7546574.709873e-09
0.5923971.7545464.716482e-09
0.5932291.7544354.723100e-09
0.5940611.7543254.729728e-09
0.5948951.7542144.736365e-09
0.595731.7541054.743011e-09
0.5965661.7539954.749666e-09
0.5974031.7538864.756331e-09
0.5982421.7537784.763006e-09
0.5990821.753674.769689e-09
0.5999221.7535624.776382e-09
0.61.7535524.777000e-09
0.6007641.7534544.862276e-09
0.6016081.7533474.956342e-09
0.6024521.753245.050541e-09
0.6032981.7531335.144871e-09
0.6041441.7530275.239334e-09
0.6049921.7529215.333930e-09
0.6058411.7528165.428658e-09
0.6066921.752715.523520e-09
0.6075431.7526055.618514e-09
0.6083961.7525015.713642e-09
0.609251.7523975.808903e-09
0.6101051.7522935.904298e-09
0.6109611.7521895.999827e-09
0.6118191.7520866.095490e-09
0.6126771.7519836.191287e-09
0.6135371.751886.287219e-09
0.6143981.7517786.383285e-09
0.6152611.7516766.479486e-09
0.6161241.7515756.575822e-09
0.6169891.7514736.672294e-09
0.6178551.7513726.768901e-09
0.6187221.7512726.865643e-09
0.6195911.7511716.962521e-09
0.620461.7510717.059535e-09
0.6213311.7509717.156686e-09
0.6222031.7508727.253972e-09
0.6230761.7507737.351395e-09
0.6239511.7506747.448955e-09
0.6248271.7505757.546652e-09
0.6257041.7504777.644486e-09
0.6265821.7503797.742457e-09
0.6274611.7502827.840566e-09
0.6283421.7501847.938813e-09
0.6292241.7500878.037197e-09
0.6301071.749998.135719e-09
0.6309911.7498948.234380e-09
0.6318771.7497988.333179e-09
0.6327641.7497028.432117e-09
0.6336521.7496068.531194e-09
0.6345411.7495118.630410e-09
0.6354321.7494168.729765e-09
0.6363241.7493228.829259e-09
0.6372171.7492278.928893e-09
0.6381111.7491339.028667e-09
0.6390071.7490399.128581e-09
0.6399041.7489469.228636e-09
0.6408021.7488529.328830e-09
0.6417011.7487599.429166e-09
0.6426021.7486679.529642e-09
0.6435041.7485749.630259e-09
0.6444071.7484829.731017e-09
0.6453111.748399.831917e-09
0.6462171.7482999.932959e-09
0.6471241.7482071.003414e-08
0.6480321.7481161.013547e-08
0.6489421.7480251.023693e-08
0.6498521.7479351.033854e-08
0.651.747921.035500e-08
0.6507651.7478441.020517e-08
0.6516781.7477541.002619e-08
0.6525931.7476659.846958e-09
0.6535091.7475759.667473e-09
0.6544261.7474869.487736e-09
0.6553441.7473979.307747e-09
0.6562641.7473089.127505e-09
0.6571851.747228.947010e-09
0.6581081.7471328.766262e-09
0.6590311.7470448.585260e-09
0.6599561.7469568.404005e-09
0.6608821.7468698.222494e-09
0.661811.7467828.040729e-09
0.6627391.7466957.858709e-09
0.6636691.7466087.676434e-09
0.6646011.7465227.493902e-09
0.6655331.7464357.311115e-09
0.6664671.7463497.128071e-09
0.6674031.7462646.944770e-09
0.668341.7461786.761211e-09
0.6692781.7460936.577395e-09
0.6702171.7460086.393322e-09
0.6711581.7459246.208989e-09
0.67211.7458396.024398e-09
0.6730431.7457555.839548e-09
0.6739881.7456715.654439e-09
0.6749331.7455875.469069e-09
0.6758811.7455045.283440e-09
0.6768291.745425.097550e-09
0.6777791.7453374.911399e-09
0.6787311.7452544.724987e-09
0.6796831.7451724.538313e-09
0.6806371.7450894.351377e-09
0.6815921.7450074.164179e-09
0.6825491.7449253.976718e-09
0.6835071.7448443.788994e-09
0.6844661.7447623.601006e-09
0.6854271.7446813.412755e-09
0.6863891.74463.224240e-09
0.6873521.7445193.035459e-09
0.6883171.7444392.846414e-09
0.6892831.7443582.657104e-09
0.6902511.7442782.467528e-09
0.6912191.7441982.277685e-09
0.692191.7441192.087577e-09
0.6931611.7440391.897201e-09
0.6941341.743961.706558e-09
0.6951081.7438811.515648e-09
0.6960841.7438021.324470e-09
0.6970611.7437231.133023e-09
0.6980391.7436459.413081e-10
0.6990191.7435677.493238e-10
0.71.7434895.570700e-10

Optical transmission calculator

Free-standing sample in vacuum, normal incidence
Method
Transmittance T
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Reflectance R
—

Fresnel reflection calculator

Direction
Rp
—
Rs
—
R = (Rp+Rs)/2
—
Phase φp
—
Phase φs
—
Brewster angle θB
—
Critical angle θC
—