Optical constants

Refractive index of S-FPL51 (OHARA)

S-FPL51: 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
1.497
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.241
Permittivity ε2
2.47732e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
81.546
Chromatic dispersion dn/dλ
-0.0315688 µm⁻¹
Group index ng
1.51555
Group velocity dispersion
54.5308 fs²/mm
Dispersion parameter D
-297.494 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-FPL51 (OHARA): S-FPL51
ohara_s_fpl51 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-FPL51", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_fpl51.range_nm)  # (280, 2400) nm
eps = ohara_s_fpl51.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=1.17010505λ2λ2−0.00616203924+0.0475710783λ2λ2−0.0263372876+0.763832445λ2λ2−141.882642

Valid from 0.28 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.17010505
C30.00616203924
C40.0475710783
C50.0263372876
C60.763832445
C7141.882642

Comments and conditions

Recommended - The unique relative partial dispersion.

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -1.91e-05 -4.44e-09 -4.62e-11 3.74e-07 4.39e-10 0.163
nd
1.496999
Vd
81.545888
glass code
497816
density
value: 3620
thermal expansion
value: 1.31e-05, temperature range: 243 343; value: 1.55e-05, temperature range: 293 573
dPgF
0.028
resistance
acid: 52.1; climatic: 1.0; phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -7.49e-06 K⁻¹ at 633 nm, dn/dT = -7.70e-06 K⁻¹ at 1310 nm, dn/dT = -7.70e-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-FPL51 (OHARA), S-FPL51: n and k versus wavelength
λ (µm)nk
0.281.5300761.026100e-05
0.2815121.5295699.754930e-06
0.2830321.529079.246128e-06
0.284561.5285778.734578e-06
0.2860961.5280928.220267e-06
0.2876411.5276147.703179e-06
0.2891941.5271427.183299e-06
0.291.5269016.913400e-06
0.2907551.5266776.710784e-06
0.2923251.5262186.289573e-06
0.2939031.5257665.866088e-06
0.295491.525325.440317e-06
0.2970851.524885.012247e-06
0.2986891.5244464.581865e-06
0.31.5240984.230200e-06
0.3003021.5240184.176515e-06
0.3019231.5235963.888320e-06
0.3035531.5231793.598568e-06
0.3051921.5227683.307253e-06
0.306841.5223633.014364e-06
0.3084971.5219632.719895e-06
0.311.5216072.452700e-06
0.3101621.5215682.433994e-06
0.3118371.5211792.241098e-06
0.3135211.5207952.047161e-06
0.3152131.5204161.852177e-06
0.3169151.5200411.656139e-06
0.3186261.5196721.459044e-06
0.321.5193811.300800e-06
0.3203471.5193081.279508e-06
0.3220761.5189481.173236e-06
0.3238151.5185931.066391e-06
0.3255631.5182429.589682e-07
0.3273211.5178968.509657e-07
0.3290881.5175557.423801e-07
0.331.5173816.863600e-07
0.3308651.5172186.569061e-07
0.3326511.5168855.960822e-07
0.3344471.5165565.349299e-07
0.3362531.5162324.734475e-07
0.3380691.5159114.116331e-07
0.3398941.5155953.494849e-07
0.341.5155773.458700e-07
0.3417291.5152833.122939e-07
0.3435741.5149752.764637e-07
0.3454291.514672.404400e-07
0.3472941.5143692.042218e-07
0.3491691.5140721.678080e-07
0.351.5139421.516700e-07
0.3510541.5137791.433272e-07
0.352951.5134891.283272e-07
0.3548551.5132031.132463e-07
0.3567711.5129219.808398e-08
0.3586971.5126428.283978e-08
0.361.5124567.253000e-08
0.3606341.5123667.018556e-08
0.3625811.5120946.298446e-08
0.3645391.5118255.574447e-08
0.3665071.5115594.846539e-08
0.3684861.5112974.114701e-08
0.371.5110993.554600e-08
0.3704751.5110383.472190e-08
0.3724751.5107823.125192e-08
0.3744861.5105292.776320e-08
0.3765081.5102792.425565e-08
0.3785411.5100322.072916e-08
0.381.5098571.819800e-08
0.3805851.5097881.786126e-08
0.382641.5095471.667790e-08
0.3847051.5093081.548815e-08
0.3867821.5090731.429197e-08
0.3888711.508841.308934e-08
0.391.5087161.243900e-08
0.390971.5086111.278015e-08
0.3930811.5083841.352233e-08
0.3952031.5081591.426852e-08
0.3973371.5079371.501874e-08
0.3994821.5077181.577301e-08
0.41.5076661.595500e-08
0.4016391.5075021.629588e-08
0.4038081.5072881.674682e-08
0.4059881.5070761.720019e-08
0.408181.5068671.765600e-08
0.4103841.506661.811428e-08
0.4125991.5064561.857503e-08
0.4148271.5062541.903827e-08
0.4170671.5060551.950402e-08
0.4193181.5058571.997227e-08
0.421.5057982.011400e-08
0.4215821.5056622.018980e-08
0.4238591.505472.029882e-08
0.4261471.5052792.040844e-08
0.4284481.5050912.051865e-08
0.4307611.5049042.062945e-08
0.4330871.504722.074085e-08
0.4354251.5045382.085286e-08
0.4377761.5043582.096546e-08
0.441.5041912.107200e-08
0.4401391.5041812.102738e-08
0.4425161.5040052.026695e-08
0.4449051.5038311.950241e-08
0.4473071.5036591.873375e-08
0.4497221.5034891.796094e-08
0.452151.5033211.718395e-08
0.4545911.5031541.640277e-08
0.4570461.502991.561737e-08
0.4595131.5028271.482773e-08
0.461.5027961.467200e-08
0.4619941.5026671.435331e-08
0.4644891.5025081.395472e-08
0.4669961.5023511.355397e-08
0.4695181.5021951.315106e-08
0.4720531.5020411.274597e-08
0.4746011.5018891.233870e-08
0.4771641.5017391.192923e-08
0.479741.501591.151754e-08
0.481.5015751.147600e-08
0.482331.5014431.106702e-08
0.4849341.5012971.060995e-08
0.4875531.5011531.015042e-08
0.4901851.5010119.688409e-09
0.4928311.500879.223901e-09
0.4954921.5007318.756885e-09
0.4981671.5005938.287348e-09
0.51.50057.965700e-09
0.5008571.5004567.904221e-09
0.5035611.5003227.710240e-09
0.506281.5001887.515213e-09
0.5090131.5000567.319132e-09
0.5117621.4999257.121993e-09
0.5145251.4997966.923789e-09
0.5173031.4996686.724515e-09
0.5200961.4995426.524165e-09
0.5229041.4994166.322734e-09
0.5257271.4992926.120215e-09
0.5285651.499175.916603e-09
0.5314191.4990495.711891e-09
0.5342881.4989285.506074e-09
0.5371731.498815.299146e-09
0.5400731.4986925.091101e-09
0.5429891.4985764.881932e-09
0.5459211.498464.671634e-09
0.5488681.4983464.460201e-09
0.551.4983034.379000e-09
0.5518311.4982344.568730e-09
0.5548111.4981224.877387e-09
0.5578061.4980115.187711e-09
0.5608181.4979025.499711e-09
0.5638461.4977935.813395e-09
0.566891.4976866.128772e-09
0.5699511.497586.445852e-09
0.5730281.4974756.764644e-09
0.5761221.4973717.085158e-09
0.5792321.4972687.407402e-09
0.582361.4971667.731385e-09
0.5855041.4970658.057118e-09
0.5886651.4969658.384610e-09
0.5918431.4968658.713869e-09
0.5950391.4967679.044907e-09
0.5982511.496679.377731e-09
0.61.4966189.558900e-09
0.6014811.4965749.582484e-09
0.6047291.4964799.634190e-09
0.6079941.4963849.686175e-09
0.6112761.4962919.738440e-09
0.6145771.4961989.790988e-09
0.6178951.4961079.843820e-09
0.6212311.4960169.896936e-09
0.6245851.4959269.950340e-09
0.6279571.4958371.000403e-08
0.6313471.4957481.005801e-08
0.6347561.4956611.011229e-08
0.6381831.4955741.016685e-08
0.6416291.4954881.022171e-08
0.6450931.4954031.027687e-08
0.6485761.4953191.033233e-08
0.651.4952841.035500e-08
0.6520781.4952351.038812e-08
0.6555981.4951521.044424e-08
0.6591381.495071.050066e-08
0.6626971.4949891.055738e-08
0.6662741.4949081.061442e-08
0.6698721.4948281.067176e-08
0.6734881.4947491.072941e-08
0.6771251.494671.078737e-08
0.680781.4945921.084564e-08
0.6844561.4945151.090423e-08
0.6881521.4944381.096313e-08
0.6918671.4943631.102236e-08
0.6956021.4942871.108190e-08
0.6993581.4942131.114177e-08
0.71.49421.115200e-08
0.7031341.4941391.100212e-08
0.706931.4940651.082056e-08
0.7107471.4939921.063802e-08
0.7145841.493921.045450e-08
0.7184421.4938481.026998e-08
0.7223211.4937771.008447e-08
0.7262211.4937079.897950e-09
0.7301421.4936379.710429e-09
0.7340841.4935679.521894e-09
0.7380471.4934989.332342e-09
0.7420321.493439.141766e-09
0.7460391.4933628.950162e-09
0.7500661.4932958.757523e-09
0.7541161.4932288.563844e-09
0.7581881.4931628.369119e-09
0.7622811.4930968.173343e-09
0.7663971.493037.976510e-09
0.7705351.4929667.778614e-09
0.7746951.4929017.579650e-09
0.7788771.4928377.379611e-09
0.7830831.4927737.178493e-09
0.787311.492716.976288e-09
0.7915611.4926486.772992e-09
0.7958351.4925856.568598e-09
0.81.4925256.369400e-09
0.8001321.4925246.370449e-09
0.8044521.4924626.404844e-09
0.8087951.4924016.439426e-09
0.8131621.492346.474193e-09
0.8175521.492286.509149e-09
0.8219661.492226.544294e-09
0.8264041.4921616.579628e-09
0.8308661.4921026.615153e-09
0.8353521.4920436.650870e-09
0.8398621.4919846.686779e-09
0.8443961.4919266.722883e-09
0.8489551.4918686.759181e-09
0.8535391.4918116.795675e-09
0.8581471.4917546.832367e-09
0.862781.4916976.869256e-09
0.8674381.491646.906345e-09
0.8721221.4915846.943634e-09
0.876831.4915286.981124e-09
0.8815651.4914727.018817e-09
0.8863241.4914177.056713e-09
0.8911091.4913627.094814e-09
0.8959211.4913077.133120e-09
0.91.4912617.165600e-09
0.9007581.4912527.171633e-09
0.9056211.4911987.210349e-09
0.9105111.4911447.249274e-09
0.9154261.491097.288410e-09
0.9203691.4910367.327757e-09
0.9253381.4909837.367316e-09
0.9303341.490937.407089e-09
0.9353571.4908777.447077e-09
0.9404071.4908247.487280e-09
0.9454841.4907717.527701e-09
0.9505891.4907197.568340e-09
0.9557211.4906677.609198e-09
0.9608811.4906147.650277e-09
0.9660691.4905637.691577e-09
0.9712851.4905117.733101e-09
0.9765291.4904597.774849e-09
0.9818011.4904087.816822e-09
0.9871021.4903577.859022e-09
0.9924321.4903057.901449e-09
0.997791.4902547.944106e-09
11.4902347.961700e-09
1.003181.4902047.986996e-09
1.008591.4901538.030120e-09
1.014041.4901028.073477e-09
1.019511.4900528.117068e-09
1.025021.4900018.160894e-09
1.030551.4899518.204957e-09
1.036121.4899018.249258e-09
1.041711.4898518.293797e-09
1.047331.48988.338578e-09
1.052991.489758.383600e-09
1.058671.4897018.428865e-09
1.064391.4896518.474375e-09
1.070141.4896018.520130e-09
1.075911.4895518.566133e-09
1.081721.4895018.612384e-09
1.087561.4894528.658884e-09
1.093441.4894028.705636e-09
1.099341.4893528.752640e-09
1.105271.4893038.799897e-09
1.111241.4892538.847410e-09
1.117241.4892038.895180e-09
1.123271.4891548.943207e-09
1.129341.4891048.991493e-09
1.135441.4890559.040041e-09
1.141571.4890059.088850e-09
1.147731.4889559.137923e-09
1.153931.4889069.187261e-09
1.160161.4888569.236865e-09
1.166421.4888069.286737e-09
1.172721.4887569.336879e-09
1.179051.4887069.387291e-09
1.185421.4886569.437975e-09
1.191821.4886069.488933e-09
1.198251.4885569.540166e-09
1.21.4885439.554100e-09
1.204721.4885069.591664e-09
1.211221.4884569.643435e-09
1.217761.4884059.695486e-09
1.224341.4883559.747819e-09
1.230951.4883049.800433e-09
1.237591.4882549.853332e-09
1.244281.4882039.906516e-09
1.250991.4881529.959987e-09
1.257751.4881011.001375e-08
1.264541.488051.006780e-08
1.271371.4879991.012214e-08
1.278231.4879471.017678e-08
1.285131.4878961.023171e-08
1.292071.4878441.028693e-08
1.299051.4877921.034246e-08
1.306061.487741.039828e-08
1.313111.4876871.045441e-08
1.32021.4876351.051084e-08
1.327331.4875821.056757e-08
1.33451.4875291.062461e-08
1.34171.4874761.068196e-08
1.348941.4874231.073962e-08
1.356231.487371.079759e-08
1.363551.4873161.085587e-08
1.370911.4872621.091447e-08
1.378311.4872081.097338e-08
1.385751.4871531.103261e-08
1.393241.4870981.109217e-08
1.41.4870491.114600e-08
1.400761.4870431.115204e-08
1.408321.4869881.121228e-08
1.415931.4869331.127284e-08
1.423571.4868771.133373e-08
1.431261.4868211.139495e-08
1.438981.4867651.145650e-08
1.446751.4867081.151838e-08
1.454561.4866511.158060e-08
1.462421.4865941.164315e-08
1.470311.4865361.170604e-08
1.478251.4864781.176927e-08
1.486231.486421.183284e-08
1.494261.4863611.189675e-08
1.502321.4863021.196101e-08
1.510431.4862431.202561e-08
1.518591.4861831.209057e-08
1.526791.4861231.215587e-08
1.535031.4860631.222153e-08
1.543321.4860021.228754e-08
1.551651.4859411.235391e-08
1.560031.4858791.242064e-08
1.568451.4858171.248772e-08
1.576921.4857541.255517e-08
1.585431.4856911.262299e-08
1.593991.4856281.269117e-08
1.61.4855841.273900e-08
1.60261.4855641.275970e-08
1.611251.48551.282858e-08
1.619951.4854351.289782e-08
1.62871.485371.296744e-08
1.637491.4853051.303744e-08
1.646331.4852381.310781e-08
1.655221.4851721.317856e-08
1.664161.4851051.324970e-08
1.673141.4850371.332122e-08
1.682181.4849691.339313e-08
1.691261.48491.346542e-08
1.700391.4848311.353811e-08
1.709571.4847611.361118e-08
1.71881.4846911.368465e-08
1.728081.484621.375852e-08
1.737411.4845491.383279e-08
1.746791.4844761.390746e-08
1.756221.4844041.398253e-08
1.76571.4843311.405800e-08
1.775241.4842571.413389e-08
1.784821.4841821.421018e-08
1.794461.4841071.428689e-08
1.81.4840641.433100e-08
1.804151.4840311.436401e-08
1.813891.4839551.444154e-08
1.823681.4838781.451950e-08
1.833531.48381.459787e-08
1.843431.4837221.467667e-08
1.853381.4836431.475590e-08
1.863391.4835631.483555e-08
1.873451.4834821.491563e-08
1.883561.4834011.499615e-08
1.893731.4833191.507709e-08
1.903951.4832361.515848e-08
1.914231.4831531.524031e-08
1.924571.4830681.532257e-08
1.934961.4829831.540528e-08
1.945411.4828971.548844e-08
1.955911.4828111.557205e-08
1.966471.4827231.565611e-08
1.977091.4826351.574062e-08
1.987761.4825461.582559e-08
1.998491.4824561.591102e-08
21.4824431.592300e-08
2.009281.4823651.762563e-08
2.020131.4822731.961504e-08
2.031041.4821812.161519e-08
2.042011.4820872.362614e-08
2.053031.4819932.564795e-08
2.064111.4818972.768067e-08
2.075261.4818012.972437e-08
2.086461.4817043.177910e-08
2.097731.4816063.384493e-08
2.109051.4815063.592190e-08
2.120441.4814063.801010e-08
2.131891.4813054.010956e-08
2.14341.4812034.222037e-08
2.154971.4810994.434256e-08
2.166611.4809954.647622e-08
2.17831.480894.862140e-08
2.190071.4807835.077815e-08
2.21.4806935.260000e-08
2.201891.4806765.282628e-08
2.213781.4805675.424977e-08
2.225731.4804575.568094e-08
2.237751.4803465.711984e-08
2.249831.4802345.856651e-08
2.261981.4801216.002099e-08
2.274191.4800066.148332e-08
2.286471.4798916.295355e-08
2.298811.4797746.443172e-08
2.311221.4796566.591787e-08
2.32371.4795366.741204e-08
2.336251.4794156.891427e-08
2.348861.4792937.042462e-08
2.361541.479177.194312e-08
2.374291.4790467.346982e-08
2.387111.478927.500477e-08
2.41.4787927.654800e-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
—