Optical constants

Refractive index of S-FPM3 (OHARA)

S-FPM3: n,k 0.3–2.4 µm

Data
formula 2 + tabulated k
Range
0.3–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.53775
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.36467
Permittivity ε2
3.98600e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
74.703
Chromatic dispersion dn/dλ
-0.0372502 µm⁻¹
Group index ng
1.55964
Group velocity dispersion
64.7489 fs²/mm
Dispersion parameter D
-353.24 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-FPM3 (OHARA): S-FPM3
ohara_s_fpm3 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-FPM3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_fpm3.range_nm)  # (300, 2400) nm
eps = ohara_s_fpm3.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=0.809407286λ2λ2−0.00376072389+0.527007033λ2λ2−0.0135654895+0.909127704λ2λ2−142.503612

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C20.809407286
C30.00376072389
C40.527007033
C50.0135654895
C60.909127704
C7142.503612

Comments and conditions

Recommended - The unique relative partial dispersion.

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -1.39e-05 1.49e-09 1.66e-11 3.43e-07 1.65e-10 0.218
nd
1.537750
Vd
74.703119
density
value: 3640
thermal expansion
value: 1.15e-05, temperature range: 243 343
dPgF
0.0186
resistance
acid: 5.1; climatic: 1.0; phosphate: 4.1

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -5.72e-06 K⁻¹ at 633 nm, dn/dT = -5.97e-06 K⁻¹ at 1310 nm, dn/dT = -5.98e-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 427 wavelengths, the same grid as the API and the library
S-FPM3 (OHARA), S-FPM3: n and k versus wavelength
λ (µm)nk
0.31.5699263.964700e-06
0.3015681.569443.738280e-06
0.3031431.5689593.510677e-06
0.3047271.5684853.281885e-06
0.306321.5680173.051897e-06
0.307921.5675552.820707e-06
0.3095291.5670992.588310e-06
0.311.5669672.520300e-06
0.3111471.5666482.405889e-06
0.3127721.5662042.243649e-06
0.3144071.5657652.080562e-06
0.3160491.5653311.916622e-06
0.3177011.5649031.751825e-06
0.3193611.5644811.586168e-06
0.321.564321.522400e-06
0.321031.5640631.454466e-06
0.3227071.5636511.343799e-06
0.3243931.5632441.232554e-06
0.3260881.5628421.120728e-06
0.3277921.5624451.008317e-06
0.3295051.5620538.953193e-07
0.331.5619418.626700e-07
0.3312271.5616668.107802e-07
0.3329581.5612847.375786e-07
0.3346971.5609066.639945e-07
0.3364461.5605335.900259e-07
0.3382041.5601645.156708e-07
0.3399711.55984.409272e-07
0.341.5597954.397200e-07
0.3417481.5594414.013416e-07
0.3435341.5590863.621327e-07
0.3453291.5587353.227189e-07
0.3471331.5583882.830992e-07
0.3489471.5580462.432724e-07
0.351.557852.201500e-07
0.350771.5577072.117411e-07
0.3526031.5573731.917318e-07
0.3544461.5570431.716180e-07
0.3562981.5567171.513990e-07
0.3581591.5563941.310744e-07
0.361.5560811.109800e-07
0.3600311.5560761.108121e-07
0.3619121.5557611.005595e-07
0.3638031.555459.025327e-08
0.3657041.5551437.989325e-08
0.3676151.5548396.947908e-08
0.3695361.5545395.901050e-08
0.371.5544675.648100e-08
0.3714671.5542425.265433e-08
0.3734081.5539494.759045e-08
0.3753591.553664.250011e-08
0.377321.5533733.738317e-08
0.3792921.5530913.223950e-08
0.381.552993.039200e-08
0.3812741.5528112.969603e-08
0.3832661.5525352.860747e-08
0.3852691.5522612.751322e-08
0.3872821.5519922.641325e-08
0.3893051.5517252.530753e-08
0.391.5516342.492800e-08
0.391341.5514612.501360e-08
0.3933841.55122.514427e-08
0.395441.5509422.527561e-08
0.3975061.5506882.540765e-08
0.3995831.5504362.554037e-08
0.41.5503862.556700e-08
0.4016711.5501872.651968e-08
0.403771.5499412.771612e-08
0.405881.5496972.891881e-08
0.4080011.5494573.012778e-08
0.4101331.5492193.134307e-08
0.4122761.5489843.256471e-08
0.414431.5487513.379274e-08
0.4165951.5485223.502718e-08
0.4187721.5482943.626807e-08
0.421.5481683.696800e-08
0.420961.548073.688263e-08
0.423161.5478473.668708e-08
0.4253711.5476283.649051e-08
0.4275941.5474113.629292e-08
0.4298281.5471963.609429e-08
0.4320741.5469833.589462e-08
0.4343321.5467733.569392e-08
0.4366011.5465653.549216e-08
0.4388821.546363.528935e-08
0.441.5462613.519000e-08
0.4411761.5461573.484974e-08
0.4434811.5459563.418260e-08
0.4457981.5457573.351198e-08
0.4481281.5455613.283785e-08
0.4504691.5453663.216020e-08
0.4528231.5451743.147900e-08
0.4551891.5449843.079425e-08
0.4575681.5447963.010592e-08
0.4599591.5446092.941400e-08
0.461.5446062.940200e-08
0.4623621.5444252.819080e-08
0.4647781.5442432.695190e-08
0.4672061.5440632.570652e-08
0.4696481.5438852.445464e-08
0.4721021.5437092.319622e-08
0.4745691.5435342.193122e-08
0.4770481.5433622.065962e-08
0.4795411.5431911.938136e-08
0.481.543161.914600e-08
0.4820471.5430221.881862e-08
0.4845661.5428551.841574e-08
0.4870981.542691.801075e-08
0.4896431.5425271.760365e-08
0.4922011.5423651.719442e-08
0.4947731.5422051.678305e-08
0.4973581.5420461.636953e-08
0.4999571.541891.595385e-08
0.51.5418871.594700e-08
0.502571.5417341.557776e-08
0.5051961.5415811.520042e-08
0.5078351.5414291.482110e-08
0.5104891.5412791.443980e-08
0.5131561.541131.405650e-08
0.5158381.5409831.367121e-08
0.5185331.5408371.328390e-08
0.5212431.5406931.289457e-08
0.5239661.540551.250320e-08
0.5267041.5404091.210979e-08
0.5294561.5402691.171432e-08
0.5322231.5401311.131678e-08
0.5350041.5399941.091717e-08
0.5377991.5398581.051547e-08
0.5406091.5397241.011167e-08
0.5434341.5395919.705766e-09
0.5462741.5394599.297737e-09
0.5491281.5393298.887575e-09
0.551.539298.762300e-09
0.5519981.53928.985330e-09
0.5548821.5390729.307375e-09
0.5577811.5389469.631104e-09
0.5606961.5388219.956524e-09
0.5636261.5386971.028364e-08
0.5665711.5385741.061247e-08
0.5695311.5384531.094302e-08
0.5725071.5383321.127530e-08
0.5754981.5382131.160931e-08
0.5785061.5380951.194506e-08
0.5815281.5379781.228258e-08
0.5845671.5378631.262185e-08
0.5876221.5377481.296290e-08
0.5906921.5376351.330573e-08
0.5937791.5375221.365035e-08
0.5968811.5374111.399677e-08
0.61.53731.434500e-08
0.6031351.5371911.474548e-08
0.6062871.5370831.514806e-08
0.6094551.5369761.555274e-08
0.6126391.5368691.595953e-08
0.615841.5367641.636845e-08
0.6190581.536661.677951e-08
0.6222931.5365571.719271e-08
0.6255451.5364541.760807e-08
0.6288131.5363531.802561e-08
0.6320991.5362521.844532e-08
0.6354021.5361531.886723e-08
0.6387221.5360541.929134e-08
0.6420591.5359561.971767e-08
0.6454141.5358592.014623e-08
0.6487871.5357632.057703e-08
0.651.5357292.073200e-08
0.6521771.5356682.080140e-08
0.6555851.5355732.091004e-08
0.659011.535482.101925e-08
0.6624541.5353872.112902e-08
0.6659151.5352952.123938e-08
0.6693951.5352042.135030e-08
0.6728921.5351132.146181e-08
0.6764091.5350242.157390e-08
0.6799431.5349352.168658e-08
0.6834961.5348462.179985e-08
0.6870671.5347592.191370e-08
0.6906571.5346722.202815e-08
0.6942661.5345862.214320e-08
0.6978941.5345012.225886e-08
0.71.5344522.232600e-08
0.7015411.5344162.257227e-08
0.7052061.5343332.315827e-08
0.7088911.5342492.374733e-08
0.7125951.5341672.433947e-08
0.7163191.5340852.493471e-08
0.7200621.5340042.553305e-08
0.7238241.5339232.613452e-08
0.7276061.5338432.673914e-08
0.7314081.5337642.734691e-08
0.735231.5336852.795786e-08
0.7390721.5336072.857201e-08
0.7429341.5335292.918936e-08
0.7468161.5334522.980993e-08
0.7507181.5333753.043375e-08
0.7546411.5332993.106083e-08
0.7585841.5332243.169119e-08
0.7625471.5331493.232484e-08
0.7665321.5330753.296180e-08
0.7705371.5330013.360209e-08
0.7745641.5329283.424572e-08
0.7786111.5328553.489272e-08
0.7826791.5327833.554310e-08
0.7867691.5327113.619688e-08
0.790881.532643.685407e-08
0.7950121.5325693.751470e-08
0.7991671.5324993.817878e-08
0.81.5324853.831200e-08
0.8033421.5324293.823138e-08
0.807541.5323593.813013e-08
0.811761.532293.802836e-08
0.8160011.5322223.792605e-08
0.8202651.5321543.782320e-08
0.8245511.5320863.771982e-08
0.828861.5320193.761590e-08
0.8331911.5319523.751144e-08
0.8375441.5318853.740643e-08
0.8419211.5318193.730087e-08
0.846321.5317533.719476e-08
0.8507421.5316883.708810e-08
0.8551871.5316233.698088e-08
0.8596561.5315583.687310e-08
0.8641481.5314943.676475e-08
0.8686631.531433.665584e-08
0.8732021.5313663.654636e-08
0.8777651.5313033.643631e-08
0.8823511.531243.632568e-08
0.8869621.5311773.621448e-08
0.8915971.5311143.610269e-08
0.8962551.5310523.599032e-08
0.91.5310033.590000e-08
0.9009391.530993.586241e-08
0.9056461.5309293.567387e-08
0.9103781.5308673.548435e-08
0.9151351.5308063.529383e-08
0.9199171.5307463.510232e-08
0.9247241.5306853.490981e-08
0.9295561.5306253.471629e-08
0.9344131.5305653.452176e-08
0.9392951.5305053.432622e-08
0.9442041.5304453.412965e-08
0.9491371.5303863.393206e-08
0.9540971.5303273.373343e-08
0.9590821.5302683.353376e-08
0.9640931.5302093.333306e-08
0.9691311.530153.313130e-08
0.9741951.5300923.292849e-08
0.9792851.5300343.272462e-08
0.9844021.5299763.251968e-08
0.9895461.5299183.231368e-08
0.9947171.529863.210659e-08
0.9999141.5298023.189843e-08
11.5298013.189500e-08
1.005141.5297453.181267e-08
1.010391.5296883.172853e-08
1.015671.529633.164395e-08
1.020981.5295733.155893e-08
1.026311.5295163.147347e-08
1.031681.529463.138756e-08
1.037071.5294033.130120e-08
1.042491.5293463.121439e-08
1.047931.529293.112712e-08
1.053411.5292333.103940e-08
1.058911.5291773.095122e-08
1.064451.5291213.086258e-08
1.070011.5290643.077348e-08
1.07561.5290083.068391e-08
1.081221.5289523.059388e-08
1.086871.5288963.050337e-08
1.092551.528843.041239e-08
1.098261.5287843.032093e-08
1.1041.5287283.022900e-08
1.109761.5286723.013659e-08
1.115561.5286163.004369e-08
1.121391.528562.995031e-08
1.127251.5285042.985644e-08
1.133141.5284482.976208e-08
1.139061.5283922.966722e-08
1.145011.5283362.957188e-08
1.1511.528282.947603e-08
1.157011.5282242.937968e-08
1.163061.5281682.928283e-08
1.169131.5281122.918547e-08
1.175241.5280562.908761e-08
1.181381.5279992.898923e-08
1.187561.5279432.889034e-08
1.193761.5278872.879093e-08
1.21.527832.869100e-08
1.21.527832.869100e-08
1.206271.5277742.884092e-08
1.212571.5277172.899163e-08
1.218911.527662.914312e-08
1.225281.5276032.929541e-08
1.231681.5275472.944849e-08
1.238121.527492.960237e-08
1.244591.5274322.975705e-08
1.251091.5273752.991255e-08
1.257631.5273183.006885e-08
1.26421.527263.022597e-08
1.27081.5272023.038392e-08
1.277441.5271443.054268e-08
1.284121.5270863.070228e-08
1.290831.5270283.086271e-08
1.297571.526973.102398e-08
1.304351.5269113.118610e-08
1.311171.5268533.134906e-08
1.318021.5267943.151287e-08
1.324911.5267343.167754e-08
1.331831.5266753.184306e-08
1.338791.5266163.200946e-08
1.345781.5265563.217672e-08
1.352821.5264963.234486e-08
1.359891.5264353.251387e-08
1.366991.5263753.268377e-08
1.374131.5263143.285455e-08
1.381311.5262533.302623e-08
1.388531.5261923.319881e-08
1.395791.526133.337228e-08
1.41.5260953.347300e-08
1.403081.5260683.374350e-08
1.410411.5260063.438716e-08
1.417781.5259443.503419e-08
1.425191.5258813.568459e-08
1.432641.5258183.633840e-08
1.440121.5257553.699562e-08
1.447651.5256913.765628e-08
1.455211.5256273.832039e-08
1.462821.5255633.898796e-08
1.470461.5254983.965903e-08
1.478141.5254334.033360e-08
1.485871.5253684.101170e-08
1.493631.5253024.169334e-08
1.501441.5252364.237855e-08
1.509281.5251694.306733e-08
1.517171.5251024.375971e-08
1.525091.5250354.445571e-08
1.533061.5249674.515535e-08
1.541071.5248994.585864e-08
1.549131.5248314.656561e-08
1.557221.5247624.727627e-08
1.565361.5246924.799064e-08
1.573541.5246224.870875e-08
1.581761.5245524.943061e-08
1.590021.5244815.015624e-08
1.598331.524415.088567e-08
1.61.5243965.103200e-08
1.606681.5243385.172613e-08
1.615081.5242665.259786e-08
1.623521.5241935.347414e-08
1.6321.524125.435500e-08
1.640531.5240465.524046e-08
1.64911.5239725.613055e-08
1.657721.5238975.702529e-08
1.666381.5238215.792471e-08
1.675091.5237465.882883e-08
1.683841.5236695.973767e-08
1.692641.5235926.065126e-08
1.701481.5235146.156962e-08
1.710371.5234366.249278e-08
1.719311.5233576.342076e-08
1.72831.5232786.435360e-08
1.737331.5231986.529131e-08
1.74641.5231176.623392e-08
1.755531.5230366.718145e-08
1.76471.5229536.813393e-08
1.773921.5228716.909140e-08
1.783191.5227877.005386e-08
1.792511.5227037.102135e-08
1.81.5226367.179900e-08
1.801881.5226197.217442e-08
1.811291.5225337.405751e-08
1.820761.5224477.595045e-08
1.830271.522367.785327e-08
1.839831.5222737.976604e-08
1.849451.5221848.168880e-08
1.859111.5220958.362161e-08
1.868831.5220068.556452e-08
1.878591.5219158.751758e-08
1.888411.5218248.948084e-08
1.898271.5217319.145437e-08
1.908191.5216389.343820e-08
1.918161.5215449.543241e-08
1.928191.521459.743703e-08
1.938261.5213549.945213e-08
1.948391.5212581.014778e-07
1.958571.5211611.035140e-07
1.96881.5210621.055608e-07
1.979091.5209631.076184e-07
1.989431.5208631.096867e-07
1.999831.5207631.117658e-07
21.5207611.118000e-07
2.010281.5206611.178273e-07
2.020781.5205581.239869e-07
2.031341.5204541.301787e-07
2.041961.520351.364029e-07
2.052631.5202441.426596e-07
2.063351.5201371.489491e-07
2.074131.5200291.552713e-07
2.084971.5199211.616266e-07
2.095861.5198111.680151e-07
2.106821.51971.744370e-07
2.117821.5195881.808925e-07
2.128891.5194751.873817e-07
2.140011.5193611.939048e-07
2.15121.5192462.004619e-07
2.162441.519132.070534e-07
2.173741.5190122.136793e-07
2.18511.5188932.203398e-07
2.196511.5187742.270351e-07
2.21.5187372.290800e-07
2.207991.5186532.322349e-07
2.219531.518532.367904e-07
2.231121.5184072.413696e-07
2.242781.5182822.459729e-07
2.25451.5181562.506001e-07
2.266281.5180292.552516e-07
2.278121.51792.599274e-07
2.290031.517772.646276e-07
2.301991.5176392.693523e-07
2.314021.5175072.741017e-07
2.326111.5173732.788760e-07
2.338271.5172382.836752e-07
2.350491.5171012.884995e-07
2.362771.5169632.933490e-07
2.375111.5168232.982238e-07
2.387521.5166823.031241e-07
2.41.516543.080500e-07

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
—