Optical constants

Refractive index of S-FPL51Y (OHARA)

S-FPL51Y: n,k 0.24–2.4 µm

Data
formula 2 + tabulated k
Range
0.24–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.24–2.4 µm
Refractive index n
1.497
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.24102
Permittivity ε2
1.40068e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
81.138
Chromatic dispersion dn/dλ
-0.0317159 µm⁻¹
Group index ng
1.51564
Group velocity dispersion
54.9821 fs²/mm
Dispersion parameter D
-299.957 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-FPL51Y (OHARA): S-FPL51Y
ohara_s_fpl51y = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-FPL51Y", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_fpl51y.range_nm)  # (240, 2400) nm
eps = ohara_s_fpl51y.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=1.14031443λ2λ2−0.00595466872+0.0771496272λ2λ2−0.0223953953+1.43721957λ2λ2−274.290057

Valid from 0.24 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.14031443
C30.00595466872
C40.0771496272
C50.0223953953
C61.43721957
C7274.290057

Comments and conditions

Improved XMT at 365

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -2.1e-05 -3.8e-09 -4.12e-11 3.32e-07 2.85e-10 0.191
nd
1.497003
Vd
81.138165
glass code
497811
density
value: 3660
thermal expansion
value: 1.36e-05, temperature range: 243 343; value: 1.61e-05, temperature range: 293 573
dPgF
0.0279
resistance
acid: 51.0; climatic: 2.0; phosphate: 4.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -8.31e-06 K⁻¹ at 633 nm, dn/dT = -8.48e-06 K⁻¹ at 1310 nm, dn/dT = -8.48e-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 434 wavelengths, the same grid as the API and the library
S-FPL51Y (OHARA), S-FPL51Y: n and k versus wavelength
λ (µm)nk
0.241.5484576.147600e-06
0.2413891.5476176.028533e-06
0.2427861.5467935.908778e-06
0.2441911.5459825.788329e-06
0.2456041.5451865.667183e-06
0.2470261.5444045.545336e-06
0.2484561.5436345.422784e-06
0.2498941.5428785.299522e-06
0.251.5428235.290400e-06
0.251341.5421355.014201e-06
0.2527951.5414044.714340e-06
0.2542581.5406854.412744e-06
0.2557291.5399784.109402e-06
0.2572091.5392823.804304e-06
0.2586981.5385983.497440e-06
0.261.5380123.229000e-06
0.2601951.5379253.211233e-06
0.2617011.5372633.074030e-06
0.2632161.5366112.936034e-06
0.2647391.535972.797239e-06
0.2662711.5353392.657641e-06
0.2678121.5347182.517234e-06
0.2693621.5341062.376015e-06
0.271.5338582.317900e-06
0.2709211.5335042.242591e-06
0.2724891.5329122.114394e-06
0.2740661.5323281.985454e-06
0.2756521.5317541.855768e-06
0.2772481.5311881.725332e-06
0.2788521.5306311.594140e-06
0.281.5302391.500300e-06
0.2804661.5300821.473447e-06
0.2820891.5295421.379933e-06
0.2837221.5290091.285878e-06
0.2853641.5284851.191279e-06
0.2870161.5279681.096132e-06
0.2886771.5274591.000435e-06
0.291.5270619.242000e-07
0.2903471.5269589.105982e-07
0.2920281.5264648.448136e-07
0.2937181.5259777.786483e-07
0.2954181.5254977.121001e-07
0.2971281.5250246.451667e-07
0.2988471.5245585.778459e-07
0.31.5242515.327200e-07
0.3005771.5240995.185721e-07
0.3023171.5236464.759099e-07
0.3040661.52324.330007e-07
0.3058261.522763.898433e-07
0.3075961.5223273.464360e-07
0.3093761.5218993.027775e-07
0.311.5217512.874800e-07
0.3111671.5214782.713752e-07
0.3129681.5210622.465174e-07
0.3147791.5206532.215157e-07
0.3166011.5202491.963693e-07
0.3184331.519851.710774e-07
0.321.5195161.494500e-07
0.3202761.5194571.474575e-07
0.322131.519071.340803e-07
0.3239941.5186881.206256e-07
0.3258691.5183111.070931e-07
0.3277551.5179399.348229e-08
0.3296521.5175737.979269e-08
0.331.5175067.728200e-08
0.331561.5172117.117698e-08
0.3334791.5168556.366725e-08
0.3354091.5165035.611406e-08
0.337351.5161564.851716e-08
0.3393031.5158134.087629e-08
0.341.5156933.814700e-08
0.3412661.5154763.543894e-08
0.3432411.5151423.121518e-08
0.3452281.5148142.696698e-08
0.3472261.5144892.269419e-08
0.3492361.5141691.839667e-08
0.351.5140491.676200e-08
0.3512571.5138531.609839e-08
0.353291.5135421.502501e-08
0.3553341.5132341.394541e-08
0.3573911.512931.285957e-08
0.3594591.5126311.176744e-08
0.361.5125541.148200e-08
0.361541.5123351.062166e-08
0.3636321.5120449.452528e-09
0.3657371.5117568.276632e-09
0.3678541.5114717.093931e-09
0.3699821.5111915.904386e-09
0.371.5111895.894600e-09
0.3721241.5109145.285264e-09
0.3742771.5106414.667348e-09
0.3764441.5103714.045855e-09
0.3786221.5101053.420766e-09
0.381.5099393.025500e-09
0.3808141.5098423.031977e-09
0.3830181.5095823.049520e-09
0.3852341.5093263.067166e-09
0.3874641.5090733.084913e-09
0.3897061.5088233.102763e-09
0.391.5087913.105100e-09
0.3919621.5085773.120717e-09
0.394231.5083333.138774e-09
0.3965121.5080933.156936e-09
0.3988071.5078553.175203e-09
0.41.5077343.184700e-09
0.4011151.5076213.193575e-09
0.4034361.5073893.212054e-09
0.4057711.5071613.230640e-09
0.408121.5069353.249334e-09
0.4104821.5067123.268135e-09
0.4128581.5064923.287046e-09
0.4152471.5062753.306066e-09
0.417651.506063.325196e-09
0.421.5058543.343900e-09
0.4200671.5058483.344437e-09
0.4224991.5056393.363801e-09
0.4249441.5054323.383278e-09
0.4274031.5052283.402867e-09
0.4298771.5050263.422569e-09
0.4323651.5048263.442386e-09
0.4348671.5046293.462317e-09
0.4373841.5044353.482363e-09
0.4399151.5042433.502526e-09
0.441.5042363.503200e-09
0.4424611.5040533.522793e-09
0.4450221.5038653.543177e-09
0.4475981.503683.563678e-09
0.4501881.5034973.584299e-09
0.4527941.5033163.605039e-09
0.4554141.5031383.625898e-09
0.458051.5029613.646879e-09
0.461.5028323.662400e-09
0.4607011.5027873.667981e-09
0.4633671.5026143.689205e-09
0.4660491.5024443.710552e-09
0.4687471.5022763.732022e-09
0.4714591.5021093.753617e-09
0.4741881.5019453.775337e-09
0.4769321.5017833.797182e-09
0.4796931.5016223.819154e-09
0.481.5016043.821600e-09
0.4824691.5014633.841265e-09
0.4852611.5013073.863506e-09
0.488071.5011523.885876e-09
0.4908951.5009983.908375e-09
0.4937361.5008473.931004e-09
0.4965931.5006973.953764e-09
0.4994671.500553.976656e-09
0.51.5005223.980900e-09
0.5023581.5004033.999674e-09
0.5052651.5002594.022823e-09
0.508191.5001164.046106e-09
0.5111311.4999754.069523e-09
0.5140891.4998354.093077e-09
0.5170641.4996974.116766e-09
0.5200571.4995614.140593e-09
0.5230671.4994264.164557e-09
0.5260941.4992924.188661e-09
0.5291391.499164.212903e-09
0.5322011.499034.237286e-09
0.5352811.4989014.261811e-09
0.5383791.4987734.286477e-09
0.5414951.4986474.311286e-09
0.5446291.4985224.336238e-09
0.5477811.4983994.361335e-09
0.551.4983134.379000e-09
0.5509521.4982774.386575e-09
0.554141.4981564.411957e-09
0.5573471.4980374.437486e-09
0.5605731.4979194.463162e-09
0.5638181.4978024.488987e-09
0.5670811.4976874.514962e-09
0.5703631.4975724.541087e-09
0.5736641.4974594.567363e-09
0.5769841.4973484.593791e-09
0.5803231.4972374.620372e-09
0.5836821.4971274.647107e-09
0.587061.4970194.673997e-09
0.5904581.4969124.701042e-09
0.5938751.4968064.728244e-09
0.5973121.4967014.755603e-09
0.61.496624.777000e-09
0.6007691.4965974.783122e-09
0.6042461.4964944.810806e-09
0.6077431.4963934.838650e-09
0.611261.4962924.866656e-09
0.6147981.4961934.894823e-09
0.6183561.4960944.923153e-09
0.6219351.4959964.951647e-09
0.6255351.49594.980307e-09
0.6291551.4958045.009132e-09
0.6327961.4957095.038123e-09
0.6364591.4956165.067283e-09
0.6401421.4955235.096612e-09
0.6438471.4954315.126110e-09
0.6475731.495345.155779e-09
0.651.4952815.175100e-09
0.6513211.495255.185619e-09
0.6550911.4951615.215633e-09
0.6588821.4950725.245820e-09
0.6626951.4949855.276181e-09
0.6665311.4948985.306719e-09
0.6703881.4948125.337433e-09
0.6742681.4947275.368325e-09
0.6781711.4946435.399396e-09
0.6820961.4945595.430646e-09
0.6860431.4944775.462078e-09
0.6900141.4943955.493691e-09
0.6940071.4943135.525487e-09
0.6980241.4942335.557468e-09
0.71.4941945.573200e-09
0.7020641.4941535.589633e-09
0.7061271.4940745.621985e-09
0.7102141.4939965.654523e-09
0.7143241.4939185.687250e-09
0.7184591.4938415.720167e-09
0.7226171.4937655.753274e-09
0.7267991.4936895.786573e-09
0.7310051.4936145.820064e-09
0.7352361.493545.853749e-09
0.7394911.4934665.887629e-09
0.7437711.4933935.921706e-09
0.7480761.493325.955979e-09
0.7524051.4932495.990451e-09
0.756761.4931776.025122e-09
0.761141.4931066.059994e-09
0.7655451.4930366.095068e-09
0.7699751.4929676.130345e-09
0.7744321.4928976.165826e-09
0.7789141.4928296.201512e-09
0.7834221.4927616.237405e-09
0.7879561.4926936.273506e-09
0.7925161.4926266.309815e-09
0.7971031.4925596.346335e-09
0.81.4925186.369400e-09
0.8017161.4924936.383066e-09
0.8063561.4924286.420010e-09
0.8110231.4923636.457167e-09
0.8157171.4922986.494539e-09
0.8204381.4922346.532128e-09
0.8251861.492176.569935e-09
0.8299621.4921066.607960e-09
0.8347661.4920436.646205e-09
0.8395971.4919816.684672e-09
0.8444561.4919196.723361e-09
0.8493441.4918576.762274e-09
0.8542591.4917966.801412e-09
0.8592031.4917356.840777e-09
0.8641761.4916746.880370e-09
0.8691781.4916146.920191e-09
0.8742081.4915546.960244e-09
0.8792671.4914947.000528e-09
0.8843561.4914357.041045e-09
0.8894751.4913767.081797e-09
0.8946221.4913177.122784e-09
0.89981.4912597.164009e-09
0.91.4912577.165600e-09
0.9050081.4912017.604558e-09
0.9102461.4911438.063672e-09
0.9155141.4910868.525443e-09
0.9208121.4910288.989887e-09
0.9261421.4909719.457019e-09
0.9315021.4909159.926854e-09
0.9368931.4908581.039941e-08
0.9423151.4908021.087470e-08
0.9477691.4907461.135274e-08
0.9532541.490691.183355e-08
0.9587711.4906351.231713e-08
0.964321.490581.280352e-08
0.9699011.4905251.329273e-08
0.9755151.490471.378476e-08
0.9811611.4904151.427964e-08
0.9868391.4903611.477739e-08
0.992551.4903061.527802e-08
0.9982951.4902521.578154e-08
11.4902361.593100e-08
1.004071.4901981.599590e-08
1.009881.4901441.608850e-08
1.015731.490091.618163e-08
1.021611.4900371.627531e-08
1.027521.4899831.636953e-08
1.033471.489931.646429e-08
1.039451.4898771.655960e-08
1.045461.4898241.665547e-08
1.051511.4897711.675188e-08
1.05761.4897181.684886e-08
1.063721.4896651.694640e-08
1.069881.4896121.704450e-08
1.076071.4895591.714317e-08
1.08231.4895071.724241e-08
1.088561.4894541.734222e-08
1.094861.4894021.744262e-08
1.10121.4893491.754359e-08
1.107571.4892971.764515e-08
1.113981.4892441.774729e-08
1.120431.4891921.785003e-08
1.126911.4891391.795336e-08
1.133441.4890871.805729e-08
1.141.4890351.816182e-08
1.146591.4889821.826696e-08
1.153231.488931.837270e-08
1.15991.4888771.847906e-08
1.166621.4888251.858603e-08
1.173371.4887721.869362e-08
1.180161.488721.880184e-08
1.186991.4886671.891068e-08
1.193861.4886141.902015e-08
1.21.4885671.911800e-08
1.200771.4885611.908736e-08
1.207721.4885091.881035e-08
1.214711.4884561.853174e-08
1.221741.4884031.825151e-08
1.228811.488351.796967e-08
1.235921.4882961.768619e-08
1.243071.4882431.740107e-08
1.250271.488191.711431e-08
1.25751.4881361.682588e-08
1.264781.4880821.653578e-08
1.27211.4880281.624400e-08
1.279461.4879741.595054e-08
1.286871.487921.565538e-08
1.294321.4878661.535851e-08
1.301811.4878111.505992e-08
1.309341.4877571.475960e-08
1.316921.4877021.445754e-08
1.324541.4876471.415374e-08
1.332211.4875921.384818e-08
1.339921.4875361.354085e-08
1.347671.487481.323174e-08
1.355471.4874251.292084e-08
1.363321.4873681.260814e-08
1.371211.4873121.229363e-08
1.379141.4872551.197730e-08
1.387131.4871981.165915e-08
1.395151.4871411.133915e-08
1.41.4871071.114600e-08
1.403231.4870841.117172e-08
1.411351.4870261.123640e-08
1.419521.4869681.130147e-08
1.427731.486911.136690e-08
1.4361.4868511.143272e-08
1.444311.4867921.149891e-08
1.452671.4867331.156549e-08
1.461071.4866741.163246e-08
1.469531.4866141.169981e-08
1.478041.4865531.176755e-08
1.486591.4864931.183569e-08
1.495191.4864321.190422e-08
1.503851.4863711.197314e-08
1.512551.4863091.204247e-08
1.52131.4862471.211219e-08
1.530111.4861841.218232e-08
1.538971.4861211.225286e-08
1.547871.4860581.232380e-08
1.556831.4859941.239515e-08
1.565841.485931.246692e-08
1.57491.4858661.253910e-08
1.584021.48581.261170e-08
1.593191.4857351.268472e-08
1.61.4856861.273900e-08
1.602411.4856691.293076e-08
1.611681.4856021.366981e-08
1.621011.4855351.441313e-08
1.630391.4854681.516076e-08
1.639831.48541.591272e-08
1.649321.4853321.666902e-08
1.658861.4852631.742971e-08
1.668461.4851931.819479e-08
1.678121.4851231.896431e-08
1.687831.4850521.973828e-08
1.69761.4849812.051672e-08
1.707421.4849092.129968e-08
1.717311.4848372.208716e-08
1.727251.4847642.287920e-08
1.737241.484692.367583e-08
1.74731.4846162.447707e-08
1.757411.4845412.528294e-08
1.767581.4844662.609348e-08
1.777811.484392.690871e-08
1.78811.4843132.772865e-08
1.798451.4842362.855335e-08
1.81.4842242.867700e-08
1.808861.4841572.881809e-08
1.819331.4840792.898486e-08
1.829861.4839992.915260e-08
1.840451.4839192.932130e-08
1.85111.4838382.949098e-08
1.861811.4837562.966165e-08
1.872591.4836742.983330e-08
1.883421.4835913.000594e-08
1.894321.4835073.017959e-08
1.905291.4834223.035424e-08
1.916311.4833363.052990e-08
1.927411.483253.070657e-08
1.938561.4831633.088427e-08
1.949781.4830753.106300e-08
1.961061.4829863.124276e-08
1.972411.4828963.142356e-08
1.983831.4828053.160541e-08
1.995311.4827143.178831e-08
21.4826763.186300e-08
2.006861.4826213.317683e-08
2.018471.4825283.540143e-08
2.030161.4824343.763889e-08
2.041911.4823393.988931e-08
2.053721.4822424.215275e-08
2.065611.4821454.442929e-08
2.077561.4820474.671901e-08
2.089591.4819484.902197e-08
2.101681.4818485.133827e-08
2.113851.4817475.366797e-08
2.126081.4816455.601116e-08
2.138391.4815415.836791e-08
2.150761.4814376.073829e-08
2.163211.4813316.312240e-08
2.175731.4812256.552030e-08
2.188321.4811176.793209e-08
2.21.4810177.016900e-08
2.200991.4810087.029501e-08
2.213721.4808997.192316e-08
2.226541.4807877.356074e-08
2.239421.4806757.520780e-08
2.252381.4805627.686439e-08
2.265421.4804477.853056e-08
2.278531.4803318.020638e-08
2.291721.4802148.189190e-08
2.304981.4800958.358717e-08
2.318321.4799758.529225e-08
2.331741.4798548.700720e-08
2.345231.4797328.873208e-08
2.358811.4796089.046694e-08
2.372461.4794839.221184e-08
2.386191.4793569.396684e-08
2.41.4792289.573200e-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
—