Optical constants

Refractive index of S-FPL55 (OHARA)

S-FPL55: n,k 0.365–2.325 µm

Data
formula 2 + tabulated k
Range
0.365–2.325 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–2.325 µm
Refractive index n
1.43875
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.07
Permittivity ε2
2.38092e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
94.661
Chromatic dispersion dn/dλ
-0.0240485 µm⁻¹
Group index ng
1.45288
Group velocity dispersion
41.0175 fs²/mm
Dispersion parameter D
-223.772 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-FPL55 (OHARA): S-FPL55
ohara_s_fpl55 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-FPL55", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_fpl55.range_nm)  # (365, 2325) nm
eps = ohara_s_fpl55.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=0.839067682λ2λ2−0.00795286639+0.214083503λ2λ2+0.00232581717+1.47914677λ2λ2−340.0437

Valid from 0.365 to 2.325 µm.

Coefficients as stored
CiValue
C10.0
C20.839067682
C30.00795286639
C40.214083503
C5-0.00232581717
C61.47914677
C7340.0437

Comments and conditions

Recommended -The unique relative partial dispersion.

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -2.1e-05 -7.63e-09 1.24e-11 2.82e-07 1.8e-10 0.224
nd
1.438750
Vd
94.661059
density
value: 3590
thermal expansion
value: 1.36e-05, temperature range: 243 343
dPgF
0.0457
resistance
acid: 52.1; climatic: 2.0; phosphate: 4.1

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -7.49e-06 K⁻¹ at 633 nm, dn/dT = -7.63e-06 K⁻¹ at 1310 nm, dn/dT = -7.63e-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 422 wavelengths, the same grid as the API and the library
S-FPL55 (OHARA), S-FPL55: n and k versus wavelength
λ (µm)nk
0.3651.4498854.668400e-08
0.3666981.4497144.189061e-08
0.3684031.4495453.707493e-08
0.371.4493893.256700e-08
0.3701171.4493783.236343e-08
0.3718381.4492122.936641e-08
0.3735681.4490482.635545e-08
0.3753061.4488862.333048e-08
0.3770511.4487252.029144e-08
0.3788051.4485661.723827e-08
0.381.4484591.515800e-08
0.3805671.4484091.500383e-08
0.3823371.4482531.452253e-08
0.3841161.4480991.403899e-08
0.3859021.4479461.355320e-08
0.3876971.4477951.306515e-08
0.38951.4476451.257483e-08
0.391.4476041.243900e-08
0.3913121.4474971.248086e-08
0.3931321.447351.253892e-08
0.3949611.4472051.259725e-08
0.3967981.4470611.265585e-08
0.3986441.4469191.271473e-08
0.41.4468161.275800e-08
0.4004981.4467781.285744e-08
0.4023611.4466381.322954e-08
0.4042321.44651.360337e-08
0.4061121.4463631.397895e-08
0.4080011.4462281.435627e-08
0.4098991.4460931.473534e-08
0.4118061.4459611.511618e-08
0.4137211.4458291.549879e-08
0.4156451.4456991.588318e-08
0.4175791.445571.626936e-08
0.4195211.4454421.665733e-08
0.421.4454111.675300e-08
0.4214721.4453151.681175e-08
0.4234331.445191.688997e-08
0.4254021.4450661.696855e-08
0.4273811.4449431.704750e-08
0.4293691.4448221.712682e-08
0.4313661.4447011.720651e-08
0.4333721.4445821.728656e-08
0.4353881.4444641.736699e-08
0.4374131.4443461.744779e-08
0.4394481.4442311.752897e-08
0.441.4441991.755100e-08
0.4414921.4441161.733624e-08
0.4435451.4440021.704063e-08
0.4456091.4438891.674365e-08
0.4476811.4437781.644529e-08
0.4497641.4436671.614554e-08
0.4518561.4435581.584440e-08
0.4539571.4434491.554185e-08
0.4560691.4433421.523790e-08
0.458191.4432351.493254e-08
0.461.4431461.467200e-08
0.4603211.443131.462066e-08
0.4624621.4430261.427851e-08
0.4646131.4429221.393477e-08
0.4667751.442821.358943e-08
0.4689461.4427181.324249e-08
0.4711271.4426181.289393e-08
0.4733181.4425181.254375e-08
0.475521.442421.219194e-08
0.4777321.4423221.183849e-08
0.4799541.4422251.148340e-08
0.481.4422231.147600e-08
0.4821861.4421291.109231e-08
0.4844291.4420341.069866e-08
0.4866821.441941.030318e-08
0.4889461.4418469.905867e-09
0.491221.4417549.506703e-09
0.4935051.4416629.105681e-09
0.49581.4415718.702794e-09
0.4981071.4414818.298034e-09
0.51.4414097.965700e-09
0.5004231.4413927.935329e-09
0.5027511.4413047.768359e-09
0.5050891.4412167.600612e-09
0.5074391.441137.432084e-09
0.5097991.4410447.262773e-09
0.512171.4409597.092674e-09
0.5145531.4408746.921784e-09
0.5169461.4407916.750099e-09
0.519351.4407086.577616e-09
0.5217661.4406256.404330e-09
0.5241931.4405446.230238e-09
0.5266311.4404636.055337e-09
0.5290811.4403835.879622e-09
0.5315421.4403045.703090e-09
0.5340141.4402255.525736e-09
0.5364981.4401475.347558e-09
0.5389931.440075.168551e-09
0.54151.4399944.988711e-09
0.5440191.4399184.808035e-09
0.5465491.4398434.626518e-09
0.5490921.4397684.444157e-09
0.551.4397424.379000e-09
0.5516461.4396944.549490e-09
0.5542121.4396214.815311e-09
0.5567891.4395485.082368e-09
0.5593791.4394765.350667e-09
0.5619811.4394055.620214e-09
0.5645951.4393345.891015e-09
0.5672211.4392646.163076e-09
0.5698591.4391946.436402e-09
0.572511.4391256.710999e-09
0.5751731.4390576.986874e-09
0.5778481.4389897.264032e-09
0.5805361.4389217.542479e-09
0.5832361.4388557.822221e-09
0.5859491.4387888.103264e-09
0.5886751.4387238.385614e-09
0.5914131.4386588.669278e-09
0.5941641.4385938.954261e-09
0.5969271.4385299.240570e-09
0.5997041.4384669.528210e-09
0.61.4384599.558900e-09
0.6024931.4384039.857189e-09
0.6052961.438341.019247e-08
0.6081111.4382781.052932e-08
0.610941.4382171.086773e-08
0.6137811.4381561.120771e-08
0.6166361.4380951.154928e-08
0.6195041.4380351.189243e-08
0.6223861.4379761.223718e-08
0.6252811.4379171.258354e-08
0.6281891.4378581.293150e-08
0.6311111.43781.328109e-08
0.6340471.4377421.363230e-08
0.6369961.4376851.398514e-08
0.6399591.4376281.433962e-08
0.6429351.4375721.469576e-08
0.6459261.4375161.505355e-08
0.648931.437461.541300e-08
0.651.4374411.554100e-08
0.6519491.4374051.558757e-08
0.6549811.4373511.566005e-08
0.6580281.4372961.573286e-08
0.6610881.4372431.580601e-08
0.6641631.4371891.587950e-08
0.6672521.4371361.595333e-08
0.6703561.4370831.602751e-08
0.6734741.4370311.610203e-08
0.6766071.4369791.617690e-08
0.6797541.4369281.625211e-08
0.6829151.4368761.632768e-08
0.6860921.4368261.640360e-08
0.6892831.4367751.647987e-08
0.6924891.4367251.655649e-08
0.695711.4366751.663348e-08
0.6989461.4366261.671082e-08
0.71.436611.673600e-08
0.7021971.4365771.678854e-08
0.7054631.4365281.686663e-08
0.7087451.436481.694509e-08
0.7120411.4364321.702391e-08
0.7153531.4363841.710310e-08
0.7186811.4363371.718265e-08
0.7220231.436291.726258e-08
0.7253821.4362431.734288e-08
0.7287561.4361961.742355e-08
0.7321461.436151.750460e-08
0.7355511.4361041.758602e-08
0.7389721.4360591.766783e-08
0.7424091.4360131.775001e-08
0.7458631.4359681.783258e-08
0.7493321.4359241.791553e-08
0.7528171.4358791.799886e-08
0.7563191.4358351.808259e-08
0.7598371.4357911.816670e-08
0.7633711.4357471.825120e-08
0.7669221.4357041.833610e-08
0.7704891.4356611.842139e-08
0.7740731.4356181.850708e-08
0.7776731.4355751.859317e-08
0.781291.4355331.867965e-08
0.7849241.4354911.876654e-08
0.7885751.4354491.885384e-08
0.7922431.4354071.894154e-08
0.7959281.4353661.902965e-08
0.799631.4353241.911816e-08
0.81.435321.912700e-08
0.803351.4352831.944784e-08
0.8070861.4352431.980574e-08
0.810841.4352022.016530e-08
0.8146121.4351622.052653e-08
0.8184011.4351222.088945e-08
0.8222081.4350822.125405e-08
0.8260321.4350422.162034e-08
0.8298741.4350022.198834e-08
0.8337341.4349632.235806e-08
0.8376121.4349242.272949e-08
0.8415081.4348852.310265e-08
0.8454221.4348462.347754e-08
0.8493551.4348072.385418e-08
0.8533051.4347692.423258e-08
0.8572741.434732.461273e-08
0.8612621.4346922.499465e-08
0.8652681.4346542.537834e-08
0.8692921.4346162.576382e-08
0.8733361.4345792.615110e-08
0.8773981.4345412.654017e-08
0.8814791.4345042.693106e-08
0.8855791.4344672.732376e-08
0.8896981.434432.771829e-08
0.8938361.4343932.811465e-08
0.8979941.4343562.851286e-08
0.91.4343382.870500e-08
0.9021711.4343192.894778e-08
0.9063671.4342832.941710e-08
0.9105831.4342462.988859e-08
0.9148181.434213.036228e-08
0.9190731.4341743.083818e-08
0.9233481.4341383.131628e-08
0.9276431.4341023.179661e-08
0.9319581.4340663.227918e-08
0.9362931.434033.276399e-08
0.9406481.4339953.325105e-08
0.9450231.4339593.374038e-08
0.9494191.4339243.423199e-08
0.9538351.4338893.472588e-08
0.9582711.4338533.522207e-08
0.9627291.4338183.572056e-08
0.9672071.4337833.622138e-08
0.9717051.4337483.672453e-08
0.9762251.4337133.723001e-08
0.9807661.4336783.773785e-08
0.9853281.4336443.824805e-08
0.9899111.4336093.876062e-08
0.9945151.4335743.927558e-08
0.9991411.433543.979293e-08
11.4335333.988900e-08
1.003791.4335053.985841e-08
1.008461.4334713.982071e-08
1.013151.4334373.978283e-08
1.017861.4334023.974478e-08
1.022591.4333683.970655e-08
1.027351.4333343.966814e-08
1.032131.43333.962955e-08
1.036931.4332653.959079e-08
1.041751.4332313.955184e-08
1.04661.4331973.951271e-08
1.051471.4331633.947340e-08
1.056361.4331293.943391e-08
1.061271.4330953.939423e-08
1.066211.4330613.935437e-08
1.071171.4330273.931433e-08
1.076151.4329933.927409e-08
1.081151.4329593.923367e-08
1.086181.4329253.919307e-08
1.091241.4328913.915227e-08
1.096311.4328573.911128e-08
1.101411.4328233.907011e-08
1.106531.4327893.902874e-08
1.111681.4327553.898718e-08
1.116851.4327223.894542e-08
1.122051.4326883.890347e-08
1.127271.4326543.886133e-08
1.132511.432623.881899e-08
1.137781.4325863.877645e-08
1.143071.4325513.873372e-08
1.148391.4325173.869079e-08
1.153731.4324833.864765e-08
1.159091.4324493.860432e-08
1.164481.4324153.856079e-08
1.16991.4323813.851705e-08
1.175341.4323463.847311e-08
1.180811.4323123.842896e-08
1.18631.4322783.838461e-08
1.191821.4322433.834006e-08
1.197361.4322093.829529e-08
1.21.4321923.827400e-08
1.202931.4321743.820360e-08
1.208531.432143.806929e-08
1.214151.4321053.793435e-08
1.21981.432073.779878e-08
1.225471.4320363.766259e-08
1.231171.4320013.752576e-08
1.23691.4319663.738829e-08
1.242651.4319313.725018e-08
1.248431.4318963.711144e-08
1.254241.431863.697204e-08
1.260071.4318253.683200e-08
1.265931.431793.669131e-08
1.271821.4317543.654996e-08
1.277741.4317193.640795e-08
1.283681.4316833.626529e-08
1.289651.4316473.612196e-08
1.295651.4316113.597796e-08
1.301671.4315753.583330e-08
1.307731.4315393.568796e-08
1.313811.4315033.554194e-08
1.319921.4314663.539525e-08
1.326061.431433.524787e-08
1.332231.4313933.509981e-08
1.338431.4313573.495106e-08
1.344651.431323.480162e-08
1.350911.4312833.465148e-08
1.357191.4312463.450064e-08
1.36351.4312083.434911e-08
1.369851.4311713.419687e-08
1.376221.4311333.404391e-08
1.382621.4310953.389025e-08
1.389051.4310573.373588e-08
1.395511.4310193.358078e-08
1.41.4309933.347300e-08
1.4021.4309813.352084e-08
1.408521.4309433.367676e-08
1.415071.4309043.383341e-08
1.421661.4308653.399079e-08
1.428271.4308263.414889e-08
1.434911.4307873.430774e-08
1.441591.4307483.446732e-08
1.448291.4307093.462764e-08
1.455031.4306693.478871e-08
1.46181.4306293.495053e-08
1.468591.4305893.511310e-08
1.475431.4305493.527643e-08
1.482291.4305083.544051e-08
1.489181.4304673.560536e-08
1.496111.4304263.577098e-08
1.503071.4303853.593737e-08
1.510061.4303443.610453e-08
1.517081.4303023.627247e-08
1.524141.4302613.644119e-08
1.531231.4302183.661069e-08
1.538351.4301763.678099e-08
1.545511.4301343.695207e-08
1.55271.4300913.712395e-08
1.559921.4300483.729663e-08
1.567171.4300053.747012e-08
1.574461.4299613.764441e-08
1.581791.4299173.781951e-08
1.589141.4298733.799542e-08
1.596541.4298293.817216e-08
1.61.4298083.825500e-08
1.603961.4297843.834969e-08
1.611421.429743.852804e-08
1.618921.4296943.870721e-08
1.626451.4296493.888722e-08
1.634011.4296033.906806e-08
1.641611.4295573.924975e-08
1.649251.4295113.943228e-08
1.656921.4294643.961566e-08
1.664631.4294173.979989e-08
1.672371.429373.998498e-08
1.680151.4293234.017093e-08
1.687961.4292754.035775e-08
1.695811.4292274.054543e-08
1.70371.4291784.073399e-08
1.711631.4291294.092343e-08
1.719591.429084.111374e-08
1.727591.4290314.130494e-08
1.735621.4289814.149703e-08
1.743691.4289314.169002e-08
1.751811.428884.188390e-08
1.759951.4288294.207868e-08
1.768141.4287784.227437e-08
1.776361.4287264.247097e-08
1.784631.4286744.266849e-08
1.792931.4286224.286692e-08
1.81.4285774.303600e-08
1.801271.4285694.306628e-08
1.809641.4285164.326661e-08
1.818061.4284634.346786e-08
1.826521.4284094.367005e-08
1.835011.4283544.387319e-08
1.843551.42834.407727e-08
1.852121.4282444.428229e-08
1.860741.4281894.448827e-08
1.869391.4281334.469521e-08
1.878091.4280764.490311e-08
1.886821.428024.511198e-08
1.89561.4279624.532182e-08
1.904421.4279054.553264e-08
1.913281.4278464.574444e-08
1.922181.4277884.595722e-08
1.931121.4277294.617099e-08
1.94011.4276694.638575e-08
1.949121.4276094.660152e-08
1.958191.4275494.681829e-08
1.96731.4274884.703606e-08
1.976451.4274264.725485e-08
1.985641.4273644.747466e-08
1.994881.4273024.769549e-08
21.4272674.781800e-08
2.004161.4272394.828235e-08
2.013481.4271764.932413e-08
2.022841.4271125.037075e-08
2.032251.4270475.142224e-08
2.04171.4269825.247863e-08
2.05121.4269175.353993e-08
2.060741.426855.460616e-08
2.070331.4267845.567735e-08
2.079961.4267175.675353e-08
2.089631.4266495.783471e-08
2.099351.4265815.892092e-08
2.109121.4265126.001218e-08
2.118931.4264426.110852e-08
2.128781.4263726.220995e-08
2.138681.4263026.331652e-08
2.148631.426236.442822e-08
2.158621.4261596.554510e-08
2.168671.4260866.666718e-08
2.178751.4260136.779447e-08
2.188891.4259396.892700e-08
2.199071.4258657.006481e-08
2.21.4258587.016900e-08
2.20931.425796.957464e-08
2.219571.4257156.891764e-08
2.22991.4256386.825757e-08
2.240271.4255616.759444e-08
2.250691.4254846.692822e-08
2.261161.4254066.625891e-08
2.271671.4253276.558648e-08
2.282241.4252476.491092e-08
2.292861.4251676.423222e-08
2.303521.4250866.355037e-08
2.314241.4250046.286534e-08
2.3251.4249226.217712e-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
—