Optical constants

Refractive index of S-YGH51 (OHARA)

S-YGH51: n,k 0.28–2.4 µm

Data
formula 2 + tabulated k
Range
0.28–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.28–2.4 µm
Refractive index n
1.755
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.08001
Permittivity ε2
3.28582e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
52.321
Chromatic dispersion dn/dλ
-0.0743874 µm⁻¹
Group index ng
1.79871
Group velocity dispersion
131.757 fs²/mm
Dispersion parameter D
-718.806 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

# S-YGH51 (OHARA): S-YGH51
ohara_s_ygh51 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-YGH51", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_ygh51.range_nm)  # (280, 2400) nm
eps = ohara_s_ygh51.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

Sellmeier (C in µm²) (formula 2), λ in µm
n2−1=1.0828017λ2λ2−0.018115636+0.933988681λ2λ2−0.00304157575+1.32367286λ2λ2−91.0353195

Valid from 0.28 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.0828017
C30.018115636
C40.933988681
C50.00304157575
C61.32367286
C791.0353195

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 3.86e-06 1.38e-08 -1.69e-12 5.51e-07 6.54e-10 0.17
nd
1.754998
Vd
52.321434
glass code
755523
density
value: 4400
thermal expansion
value: 5.8e-06, temperature range: 243 343; value: 7e-06, temperature range: 293 573
dPgF
-0.0093
resistance
acid: 51.0; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 3.15e-06 K⁻¹ at 633 nm, dn/dT = 2.42e-06 K⁻¹ at 1310 nm, dn/dT = 2.35e-06 K⁻¹ at 1550 nm

References

Cite

OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp); See also OHARA 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 430 wavelengths, the same grid as the API and the library
S-YGH51 (OHARA), S-YGH51: n and k versus wavelength
λ (µm)nk
0.281.8381337.813200e-06
0.2815121.8367867.371742e-06
0.2830321.835466.927900e-06
0.284561.8341556.481662e-06
0.2860961.832876.033015e-06
0.2876411.8316055.581945e-06
0.2891941.830365.128440e-06
0.291.8297244.893000e-06
0.2907551.8291344.804861e-06
0.2923251.8279274.621633e-06
0.2939031.8267384.437416e-06
0.295491.8255684.252204e-06
0.2970851.8244154.065993e-06
0.2986891.8232793.878776e-06
0.31.8223683.725800e-06
0.3003021.8221613.719602e-06
0.3019231.8210593.686332e-06
0.3035531.8199733.652883e-06
0.3051921.8189043.619252e-06
0.306841.8178513.585440e-06
0.3084971.8168133.551446e-06
0.311.8158893.520600e-06
0.3101621.815793.494650e-06
0.3118371.8147823.227051e-06
0.3135211.8137892.958007e-06
0.3152131.812812.687510e-06
0.3169151.8118452.415553e-06
0.3186261.8108942.142128e-06
0.321.8101441.922600e-06
0.3203471.8099571.900960e-06
0.3220761.8090331.792948e-06
0.3238151.8081231.684353e-06
0.3255631.8072251.575172e-06
0.3273211.806341.465401e-06
0.3290881.8054671.355037e-06
0.331.8050231.298100e-06
0.3308651.8046071.259466e-06
0.3326511.8037581.179685e-06
0.3344471.8029221.099474e-06
0.3362531.8020971.018829e-06
0.3380691.8012839.377493e-07
0.3398941.8004818.562316e-07
0.341.8004348.514900e-07
0.3417291.7996897.998361e-07
0.3435741.7989097.447143e-07
0.3454291.7981396.892950e-07
0.3472941.797386.335764e-07
0.3491691.7966315.775569e-07
0.351.7963035.527300e-07
0.3510541.7958925.330683e-07
0.352951.7951634.977179e-07
0.3548551.7944444.621765e-07
0.3567711.7937344.264433e-07
0.3586971.7930343.905172e-07
0.361.7925683.662200e-07
0.3606341.7923433.565498e-07
0.3625811.7916623.268470e-07
0.3645391.7909892.969838e-07
0.3665071.7903252.669593e-07
0.3684861.7896712.367728e-07
0.371.7891772.136700e-07
0.3704751.7890242.099837e-07
0.3724751.7883861.944620e-07
0.3744861.7877571.788565e-07
0.3765081.7871351.631667e-07
0.3785411.7865221.473922e-07
0.381.7860891.360700e-07
0.3805851.7859171.332673e-07
0.382641.7853191.234182e-07
0.3847051.7847291.135160e-07
0.3867821.7841471.035603e-07
0.3888711.7835729.355078e-08
0.391.7832668.813800e-08
0.390971.7830058.582573e-08
0.3930811.7824448.079530e-08
0.3952031.7818917.573771e-08
0.3973371.7813457.065282e-08
0.3994821.7808056.554047e-08
0.41.7806776.430700e-08
0.4016391.7802736.234343e-08
0.4038081.7797475.974592e-08
0.4059881.7792285.713439e-08
0.408181.7787155.450875e-08
0.4103841.7782095.186894e-08
0.4125991.7777084.921487e-08
0.4148271.7772154.654648e-08
0.4170671.7767274.386368e-08
0.4193181.7762454.116639e-08
0.421.7761014.035000e-08
0.4215821.7757693.966206e-08
0.4238591.7752993.867250e-08
0.4261471.7748353.767760e-08
0.4284481.7743763.667733e-08
0.4307611.7739233.567166e-08
0.4330871.7734753.466056e-08
0.4354251.7730333.364400e-08
0.4377761.7725963.262195e-08
0.441.772193.165500e-08
0.4401391.7721653.158789e-08
0.4425161.7717383.044428e-08
0.4449051.7713172.929449e-08
0.4473071.7709012.813849e-08
0.4497221.7704892.697625e-08
0.452151.7700832.580774e-08
0.4545911.7696812.463292e-08
0.4570461.7692842.345175e-08
0.4595131.7688922.226421e-08
0.461.7688162.203000e-08
0.4619941.7685052.135992e-08
0.4644891.7681212.052182e-08
0.4669961.7677431.967920e-08
0.4695181.7673691.883203e-08
0.4720531.7669991.798028e-08
0.4746011.7666331.712394e-08
0.4771641.7662721.626297e-08
0.479741.7659151.539735e-08
0.481.7658791.531000e-08
0.482331.7655621.491911e-08
0.4849341.7652131.448227e-08
0.4875531.7648681.404307e-08
0.4901851.7645271.360149e-08
0.4928311.764191.315754e-08
0.4954921.7638561.271118e-08
0.4981671.7635271.226242e-08
0.51.7633041.195500e-08
0.5008571.7632011.190027e-08
0.5035611.7628781.172760e-08
0.506281.762561.155400e-08
0.5090131.7622451.137946e-08
0.5117621.7619331.120397e-08
0.5145251.7616251.102754e-08
0.5173031.761321.085016e-08
0.5200961.7610191.067182e-08
0.5229041.7607211.049251e-08
0.5257271.7604261.031224e-08
0.5285651.7601351.013100e-08
0.5314191.7598479.948773e-09
0.5342881.7595619.765565e-09
0.5371731.7592799.581368e-09
0.5400731.7599.396176e-09
0.5429891.7587249.209985e-09
0.5459211.7584519.022788e-09
0.5488681.7581818.834581e-09
0.551.7580788.762300e-09
0.5518311.7579148.791478e-09
0.5548111.7576498.838945e-09
0.5578061.7573888.886669e-09
0.5608181.7571298.934650e-09
0.5638461.7568738.982891e-09
0.566891.7566199.031392e-09
0.5699511.7563689.080155e-09
0.5730281.756129.129181e-09
0.5761221.7558749.178471e-09
0.5792321.7556319.228028e-09
0.582361.755399.277852e-09
0.5855041.7551529.327946e-09
0.5886651.7549179.378310e-09
0.5918431.7546839.428945e-09
0.5950391.7544529.479855e-09
0.5982511.7542239.531039e-09
0.61.75419.558900e-09
0.6014811.7539979.582484e-09
0.6047291.7537739.634190e-09
0.6079941.7535519.686175e-09
0.6112761.7533319.738440e-09
0.6145771.7531149.790988e-09
0.6178951.7528989.843820e-09
0.6212311.7526859.896936e-09
0.6245851.7524749.950340e-09
0.6279571.7522651.000403e-08
0.6313471.7520571.005801e-08
0.6347561.7518521.011229e-08
0.6381831.7516491.016685e-08
0.6416291.7514481.022171e-08
0.6450931.7512481.027687e-08
0.6485761.7510511.033233e-08
0.651.7509711.035500e-08
0.6520781.7508551.038812e-08
0.6555981.7506611.044424e-08
0.6591381.7504691.050066e-08
0.6626971.7502791.055738e-08
0.6662741.750091.061442e-08
0.6698721.7499031.067176e-08
0.6734881.7497181.072941e-08
0.6771251.7495341.078737e-08
0.680781.7493521.084564e-08
0.6844561.7491721.090423e-08
0.6881521.7489931.096313e-08
0.6918671.7488161.102236e-08
0.6956021.748641.108190e-08
0.6993581.7484661.114177e-08
0.71.7484361.115200e-08
0.7031341.7482931.120192e-08
0.706931.7481221.126240e-08
0.7107471.7479521.132320e-08
0.7145841.7477841.138433e-08
0.7184421.7476171.144579e-08
0.7223211.7474511.150758e-08
0.7262211.7472871.156970e-08
0.7301421.7471241.163216e-08
0.7340841.7469621.169496e-08
0.7380471.7468021.175810e-08
0.7420321.7466431.182157e-08
0.7460391.7464851.188539e-08
0.7500661.7463281.194956e-08
0.7541161.7461731.201407e-08
0.7581881.7460181.207893e-08
0.7622811.7458651.214414e-08
0.7663971.7457131.220970e-08
0.7705351.7455621.227562e-08
0.7746951.7454131.234189e-08
0.7788771.7452641.240852e-08
0.7830831.7451161.247551e-08
0.787311.744971.254286e-08
0.7915611.7448241.261057e-08
0.7958351.744681.267865e-08
0.81.744541.274500e-08
0.8001321.7445361.274710e-08
0.8044521.7443931.281592e-08
0.8087951.7442521.288510e-08
0.8131621.7441111.295467e-08
0.8175521.7439711.302460e-08
0.8219661.7438321.309492e-08
0.8264041.7436941.316561e-08
0.8308661.7435571.323669e-08
0.8353521.743421.330815e-08
0.8398621.7432851.338000e-08
0.8443961.743151.345223e-08
0.8489551.7430161.352486e-08
0.8535391.7428821.359787e-08
0.8581471.742751.367128e-08
0.862781.7426181.374509e-08
0.8674381.7424871.381929e-08
0.8721221.7423571.389390e-08
0.876831.7422271.396891e-08
0.8815651.7420981.404432e-08
0.8863241.741971.412014e-08
0.8911091.7418421.419637e-08
0.8959211.7417151.427302e-08
0.91.7416081.433800e-08
0.9007581.7415881.441053e-08
0.9056211.7414621.487599e-08
0.9105111.7413371.534396e-08
0.9154261.7412121.581447e-08
0.9203691.7410881.628751e-08
0.9253381.7409641.676310e-08
0.9303341.7408411.724127e-08
0.9353571.7407181.772201e-08
0.9404071.7405961.820535e-08
0.9454841.7404741.869131e-08
0.9505891.7403521.917988e-08
0.9557211.7402311.967109e-08
0.9608811.7401112.016496e-08
0.9660691.7399912.066149e-08
0.9712851.7398712.116070e-08
0.9765291.7397512.166260e-08
0.9818011.7396322.216722e-08
0.9871021.7395132.267456e-08
0.9924321.7393952.318464e-08
0.997791.7392772.369748e-08
11.7392282.390900e-08
1.003181.7391592.398496e-08
1.008591.7390422.411447e-08
1.014041.7389242.424467e-08
1.019511.7388072.437557e-08
1.025021.738692.450718e-08
1.030551.7385742.463950e-08
1.036121.7384572.477254e-08
1.041711.7383412.490629e-08
1.047331.7382252.504077e-08
1.052991.7381092.517597e-08
1.058671.7379932.531190e-08
1.064391.7378782.544857e-08
1.070141.7377622.558597e-08
1.075911.7376472.572412e-08
1.081721.7375322.586301e-08
1.087561.7374162.600265e-08
1.093441.7373012.614305e-08
1.099341.7371862.628420e-08
1.105271.7370712.642612e-08
1.111241.7369562.656880e-08
1.117241.7368412.671225e-08
1.123271.7367262.685648e-08
1.129341.7366112.700148e-08
1.135441.7364952.714727e-08
1.141571.736382.729385e-08
1.147731.7362652.744122e-08
1.153931.7361492.758938e-08
1.160161.7360342.773834e-08
1.166421.7359182.788811e-08
1.172721.7358032.803868e-08
1.179051.7356872.819007e-08
1.185421.7355712.834228e-08
1.191821.7354542.849530e-08
1.198251.7353382.864916e-08
1.21.7353062.869100e-08
1.204721.7352212.986068e-08
1.211221.7351053.147275e-08
1.217761.7349873.309353e-08
1.224341.734873.472306e-08
1.230951.7347533.636138e-08
1.237591.7346353.800856e-08
1.244281.7345173.966462e-08
1.250991.7343984.132963e-08
1.257751.7342794.300362e-08
1.264541.734164.468666e-08
1.271371.7340414.637878e-08
1.278231.7339214.808004e-08
1.285131.7338014.979048e-08
1.292071.733685.151015e-08
1.299051.7335595.323912e-08
1.306061.7334375.497741e-08
1.313111.7333165.672509e-08
1.32021.7331935.848221e-08
1.327331.733076.024881e-08
1.33451.7329476.202496e-08
1.34171.7328236.381069e-08
1.348941.7326996.560606e-08
1.356231.7325746.741113e-08
1.363551.7324486.922594e-08
1.370911.7323227.105055e-08
1.378311.7321967.288501e-08
1.385751.7320687.472937e-08
1.393241.731947.658370e-08
1.41.7318257.826000e-08
1.400761.7318127.830241e-08
1.408321.7316837.872517e-08
1.415931.7315537.915021e-08
1.423571.7314227.957755e-08
1.431261.7312918.000719e-08
1.438981.7311598.043916e-08
1.446751.7310278.087346e-08
1.454561.7308938.131010e-08
1.462421.7307598.174910e-08
1.470311.7306248.219047e-08
1.478251.7304888.263422e-08
1.486231.7303518.308037e-08
1.494261.7302148.352892e-08
1.502321.7300758.397990e-08
1.510431.7299368.443331e-08
1.518591.7297968.488918e-08
1.526791.7296558.534750e-08
1.535031.7295138.580830e-08
1.543321.729378.627158e-08
1.551651.7292268.673737e-08
1.560031.7290818.720567e-08
1.568451.7289358.767650e-08
1.576921.7287888.814987e-08
1.585431.728648.862580e-08
1.593991.7284918.910429e-08
1.61.7283868.944000e-08
1.60261.7283419.128122e-08
1.611251.7281899.740723e-08
1.619951.7280371.035663e-07
1.62871.7278831.097586e-07
1.637491.7277281.159844e-07
1.646331.7275721.222438e-07
1.655221.7274151.285370e-07
1.664161.7272571.348641e-07
1.673141.7270971.412254e-07
1.682181.7269361.476211e-07
1.691261.7267731.540513e-07
1.700391.726611.605162e-07
1.709571.7264451.670160e-07
1.71881.7262781.735509e-07
1.728081.7261111.801211e-07
1.737411.7259411.867268e-07
1.746791.7257711.933681e-07
1.756221.7255992.000453e-07
1.76571.7254252.067585e-07
1.775241.725252.135080e-07
1.784821.7250732.202939e-07
1.794461.7248952.271165e-07
1.81.7247922.310400e-07
1.804151.7247152.404084e-07
1.813891.7245332.624151e-07
1.823681.724352.845406e-07
1.833531.7241653.067856e-07
1.843431.7239793.291507e-07
1.853381.7237913.516365e-07
1.863391.7236013.742438e-07
1.873451.7234093.969730e-07
1.883561.7232154.198251e-07
1.893731.723024.428005e-07
1.903951.7228234.658999e-07
1.914231.7226244.891240e-07
1.924571.7224225.124736e-07
1.934961.7222195.359492e-07
1.945411.7220145.595516e-07
1.955911.7218075.832813e-07
1.966471.7215986.071392e-07
1.977091.7213876.311260e-07
1.987761.7211746.552422e-07
1.998491.7209586.794886e-07
21.7209286.828900e-07
2.009281.7207417.550819e-07
2.020131.7205218.394331e-07
2.031041.7202999.242398e-07
2.042011.7200751.009504e-06
2.053031.7198481.095229e-06
2.064111.7196191.181417e-06
2.075261.7193881.268070e-06
2.086461.7191541.355191e-06
2.097731.7189181.442782e-06
2.109051.7186791.530846e-06
2.120441.7184381.619386e-06
2.131891.7181941.708404e-06
2.14341.7179481.797902e-06
2.154971.7176991.887884e-06
2.166611.7174471.978351e-06
2.17831.7171932.069307e-06
2.190071.7169362.160753e-06
2.21.7167182.238000e-06
2.201891.7166762.303120e-06
2.213781.7164132.712774e-06
2.225731.7161483.124639e-06
2.237751.7158793.538729e-06
2.249831.7156083.955054e-06
2.261981.7153334.373627e-06
2.274191.7150554.794460e-06
2.286471.7147755.217565e-06
2.298811.7144915.642954e-06
2.311221.7142046.070640e-06
2.32371.7139146.500635e-06
2.336251.713626.932952e-06
2.348861.7133237.367603e-06
2.361541.7130237.804600e-06
2.374291.7127198.243957e-06
2.387111.7124128.685686e-06
2.41.7121019.129800e-06

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
—