Optical constants

Refractive index of S-FPM2 (OHARA)

S-FPM2: 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. Note: k data cover 310-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.59522
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.54472
Permittivity ε2
4.13496e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
67.736
Chromatic dispersion dn/dλ
-0.0453557 µm⁻¹
Group index ng
1.62187
Group velocity dispersion
80.4417 fs²/mm
Dispersion parameter D
-438.852 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-FPM2 (OHARA): S-FPM2
ohara_s_fpm2 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-FPM2", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_fpm2.range_nm)  # (300, 2400) nm
eps = ohara_s_fpm2.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=0.761242785λ2λ2−0.00321174095+0.747033375λ2λ2−0.0140234423+0.938928947λ2λ2−139.52353

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C20.761242785
C30.00321174095
C40.747033375
C50.0140234423
C60.938928947
C7139.52353

Comments and conditions

Recommended - The unique relative partial dispersion

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -1.65e-05 2.94e-09 -1.11e-12 4.25e-07 3.23e-10 0.176
nd
1.595220
Vd
67.735723
density
value: 4170
thermal expansion
value: 1.17e-05, temperature range: 243 343
dPgF
0.0123
resistance
acid: 51.3; climatic: 2.0; phosphate: 4.1

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -7.41e-06 K⁻¹ at 633 nm, dn/dT = -7.72e-06 K⁻¹ at 1310 nm, dn/dT = -7.73e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 310-2400 nm only; k = 0 elsewhere in the n range 300-2400 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-FPM2 (OHARA), S-FPM2: n and k versus wavelength
λ (µm)nk
0.31.6351530
0.3015681.6345420
0.3031431.6339380
0.3047271.6333430
0.306321.6327550
0.307921.6321750
0.3095291.6316030
0.311.6314374.230200e-06
0.3111471.6310384.051711e-06
0.3127721.630483.798604e-06
0.3144071.629933.544175e-06
0.3160491.6293863.288416e-06
0.3177011.628853.031321e-06
0.3193611.6283212.772882e-06
0.321.628122.673400e-06
0.321031.6277982.564734e-06
0.3227071.6272832.387712e-06
0.3243931.6267732.209765e-06
0.3260881.626272.030888e-06
0.3277921.6257741.851077e-06
0.3295051.6252841.670326e-06
0.331.6251441.618100e-06
0.3312271.62481.528627e-06
0.3329581.6243221.402406e-06
0.3346971.623851.275525e-06
0.3364461.6233841.147982e-06
0.3382041.6229241.019772e-06
0.3399711.622478.908916e-07
0.341.6224638.888100e-07
0.3417481.6220218.183351e-07
0.3435341.6215787.463351e-07
0.3453291.6211416.739589e-07
0.3471331.6207086.012046e-07
0.3489471.6202825.280700e-07
0.351.6200374.856100e-07
0.350771.619864.673257e-07
0.3526031.6194444.238173e-07
0.3544461.6190323.800816e-07
0.3562981.6186263.361174e-07
0.3581591.6182252.919234e-07
0.361.6178352.482300e-07
0.3600311.6178282.478544e-07
0.3619121.6174362.249239e-07
0.3638031.617052.018735e-07
0.3657041.6166671.787028e-07
0.3676151.616291.554109e-07
0.3695361.6159171.319974e-07
0.371.6158271.263400e-07
0.3714671.6155481.167696e-07
0.3734081.6151841.041049e-07
0.3753591.6148249.137411e-08
0.377321.6144697.857677e-08
0.3792921.6141176.571255e-08
0.381.6139936.109200e-08
0.3812741.613775.808292e-08
0.3832661.6134275.337644e-08
0.3852691.6130884.864537e-08
0.3872821.6127534.388957e-08
0.3893051.6124223.910893e-08
0.391.612313.746800e-08
0.391341.6120953.630388e-08
0.3933841.6117723.452691e-08
0.395441.6114523.274066e-08
0.3975061.6111373.094507e-08
0.3995831.6108252.914010e-08
0.41.6107632.877800e-08
0.4016711.6105162.946237e-08
0.403771.6102123.032184e-08
0.405881.609913.118580e-08
0.4080011.6096123.205427e-08
0.4101331.6093183.292729e-08
0.4122761.6090273.380486e-08
0.414431.608743.468702e-08
0.4165951.6084553.557379e-08
0.4187721.6081743.646520e-08
0.421.6080183.696800e-08
0.420961.6078963.705256e-08
0.423161.6076223.724623e-08
0.4253711.607353.744092e-08
0.4275941.6070823.763663e-08
0.4298281.6068163.783336e-08
0.4320741.6065543.803111e-08
0.4343321.6062953.822990e-08
0.4366011.6060383.842973e-08
0.4388821.6057853.863060e-08
0.441.6056623.872900e-08
0.4411761.6055343.818069e-08
0.4434811.6052863.710564e-08
0.4457981.6050413.602497e-08
0.4481281.6047983.493865e-08
0.4504691.6045593.384666e-08
0.4528231.6043223.274896e-08
0.4551891.6040873.164553e-08
0.4575681.6038563.053633e-08
0.4599591.6036262.942133e-08
0.461.6036222.940200e-08
0.4623621.60342.864441e-08
0.4647781.6031752.786949e-08
0.4672061.6029542.709053e-08
0.4696481.6027342.630749e-08
0.4721021.6025182.552036e-08
0.4745691.6023032.472912e-08
0.4770481.6020912.393375e-08
0.4795411.6018812.313422e-08
0.481.6018432.298700e-08
0.4820471.6016732.226655e-08
0.4845661.6014682.137993e-08
0.4870981.6012652.048867e-08
0.4896431.6010641.959276e-08
0.4922011.6008651.869217e-08
0.4947731.6006691.778688e-08
0.4973581.6004741.687685e-08
0.4999571.6002821.596206e-08
0.51.6002791.594700e-08
0.502571.6000911.557776e-08
0.5051961.5999031.520042e-08
0.5078351.5997171.482110e-08
0.5104891.5995321.443980e-08
0.5131561.599351.405650e-08
0.5158381.599171.367121e-08
0.5185331.5989911.328390e-08
0.5212431.5988141.289457e-08
0.5239661.5986391.250320e-08
0.5267041.5984661.210979e-08
0.5294561.5982951.171432e-08
0.5322231.5981261.131678e-08
0.5350041.5979581.091717e-08
0.5377991.5977921.051547e-08
0.5406091.5976281.011167e-08
0.5434341.5974669.705766e-09
0.5462741.5973059.297737e-09
0.5491281.5971458.887575e-09
0.551.5970978.762300e-09
0.5519981.5969888.985330e-09
0.5548821.5968329.307375e-09
0.5577811.5966789.631104e-09
0.5606961.5965259.956524e-09
0.5636261.5963741.028364e-08
0.5665711.5962241.061247e-08
0.5695311.5960761.094302e-08
0.5725071.5959291.127530e-08
0.5754981.5957841.160931e-08
0.5785061.595641.194506e-08
0.5815281.5954971.228258e-08
0.5845671.5953561.262185e-08
0.5876221.5952171.296290e-08
0.5906921.5950791.330573e-08
0.5937791.5949421.365035e-08
0.5968811.5948061.399677e-08
0.61.5946721.434500e-08
0.6031351.5945391.474548e-08
0.6062871.5944081.514806e-08
0.6094551.5942771.555274e-08
0.6126391.5941481.595953e-08
0.615841.594021.636845e-08
0.6190581.5938941.677951e-08
0.6222931.5937691.719271e-08
0.6255451.5936441.760807e-08
0.6288131.5935211.802561e-08
0.6320991.5933991.844532e-08
0.6354021.5932791.886723e-08
0.6387221.5931591.929134e-08
0.6420591.5930411.971767e-08
0.6454141.5929232.014623e-08
0.6487871.5928072.057703e-08
0.651.5927652.073200e-08
0.6521771.5926922.080140e-08
0.6555851.5925772.091004e-08
0.659011.5924642.101925e-08
0.6624541.5923522.112902e-08
0.6659151.5922412.123938e-08
0.6693951.5921312.135030e-08
0.6728921.5920222.146181e-08
0.6764091.5919142.157390e-08
0.6799431.5918072.168658e-08
0.6834961.59172.179985e-08
0.6870671.5915952.191370e-08
0.6906571.5914912.202815e-08
0.6942661.5913872.214320e-08
0.6978941.5912852.225886e-08
0.71.5912262.232600e-08
0.7015411.5911832.247366e-08
0.7052061.5910822.282502e-08
0.7088911.5909822.317821e-08
0.7125951.5908832.353325e-08
0.7163191.5907852.389015e-08
0.7200621.5906872.424891e-08
0.7238241.590592.460954e-08
0.7276061.5904942.497206e-08
0.7314081.5903992.533648e-08
0.735231.5903052.570279e-08
0.7390721.5902112.607102e-08
0.7429341.5901192.644118e-08
0.7468161.5900272.681327e-08
0.7507181.5899352.718731e-08
0.7546411.5898452.756329e-08
0.7585841.5897552.794125e-08
0.7625471.5896652.832118e-08
0.7665321.5895772.870309e-08
0.7705371.5894892.908700e-08
0.7745641.5894022.947291e-08
0.7786111.5893152.986084e-08
0.7826791.5892293.025080e-08
0.7867691.5891443.064280e-08
0.790881.5890593.103684e-08
0.7950121.5889753.143295e-08
0.7991671.5888923.183112e-08
0.81.5888753.191100e-08
0.8033421.5888093.204433e-08
0.807541.5887273.221178e-08
0.811761.5886453.238009e-08
0.8160011.5885643.254929e-08
0.8202651.5884833.271938e-08
0.8245511.5884033.289035e-08
0.828861.5883243.306221e-08
0.8331911.5882453.323498e-08
0.8375441.5881663.340864e-08
0.8419211.5880883.358322e-08
0.846321.5880113.375870e-08
0.8507421.5879343.393510e-08
0.8551871.5878573.411243e-08
0.8596561.5877813.429068e-08
0.8641481.5877063.446986e-08
0.8686631.5876313.464998e-08
0.8732021.5875563.483104e-08
0.8777651.5874823.501304e-08
0.8823511.5874083.519600e-08
0.8869621.5873343.537991e-08
0.8915971.5872613.556479e-08
0.8962551.5871893.575063e-08
0.91.5871313.590000e-08
0.9009391.5871173.586241e-08
0.9056461.5870453.567387e-08
0.9103781.5869733.548435e-08
0.9151351.5869023.529383e-08
0.9199171.5868323.510232e-08
0.9247241.5867613.490981e-08
0.9295561.5866913.471629e-08
0.9344131.5866223.452176e-08
0.9392951.5865523.432622e-08
0.9442041.5864833.412965e-08
0.9491371.5864143.393206e-08
0.9540971.5863463.373343e-08
0.9590821.5862783.353376e-08
0.9640931.586213.333306e-08
0.9691311.5861423.313130e-08
0.9741951.5860753.292849e-08
0.9792851.5860083.272462e-08
0.9844021.5859413.251968e-08
0.9895461.5858753.231368e-08
0.9947171.5858093.210659e-08
0.9999141.5857423.189843e-08
11.5857413.189500e-08
1.005141.5856773.181267e-08
1.010391.5856113.172853e-08
1.015671.5855463.164395e-08
1.020981.585483.155893e-08
1.026311.5854153.147347e-08
1.031681.5853513.138756e-08
1.037071.5852863.130120e-08
1.042491.5852213.121439e-08
1.047931.5851573.112712e-08
1.053411.5850933.103940e-08
1.058911.5850293.095122e-08
1.064451.5849653.086258e-08
1.070011.5849013.077348e-08
1.07561.5848383.068391e-08
1.081221.5847743.059388e-08
1.086871.5847113.050337e-08
1.092551.5846483.041239e-08
1.098261.5845853.032093e-08
1.1041.5845223.022900e-08
1.109761.5844593.013659e-08
1.115561.5843963.004369e-08
1.121391.5843332.995031e-08
1.127251.584272.985644e-08
1.133141.5842072.976208e-08
1.139061.5841452.966722e-08
1.145011.5840822.957188e-08
1.1511.5840192.947603e-08
1.157011.5839572.937968e-08
1.163061.5838942.928283e-08
1.169131.5838322.918547e-08
1.175241.5837692.908761e-08
1.181381.5837072.898923e-08
1.187561.5836442.889034e-08
1.193761.5835822.879093e-08
1.21.5835192.869100e-08
1.21.5835192.869100e-08
1.206271.5834562.884092e-08
1.212571.5833942.899163e-08
1.218911.5833312.914312e-08
1.225281.5832682.929541e-08
1.231681.5832062.944849e-08
1.238121.5831432.960237e-08
1.244591.583082.975705e-08
1.251091.5830172.991255e-08
1.257631.5829543.006885e-08
1.26421.582893.022597e-08
1.27081.5828273.038392e-08
1.277441.5827643.054268e-08
1.284121.58273.070228e-08
1.290831.5826373.086271e-08
1.297571.5825733.102398e-08
1.304351.5825093.118610e-08
1.311171.5824453.134906e-08
1.318021.582383.151287e-08
1.324911.5823163.167754e-08
1.331831.5822513.184306e-08
1.338791.5821873.200946e-08
1.345781.5821223.217672e-08
1.352821.5820573.234486e-08
1.359891.5819913.251387e-08
1.366991.5819263.268377e-08
1.374131.581863.285455e-08
1.381311.5817943.302623e-08
1.388531.5817283.319881e-08
1.395791.5816613.337228e-08
1.41.5816233.347300e-08
1.403081.5815953.354667e-08
1.410411.5815283.372196e-08
1.417781.5814613.389817e-08
1.425191.5813933.407530e-08
1.432641.5813253.425336e-08
1.440121.5812573.443235e-08
1.447651.5811893.461227e-08
1.455211.5811213.479313e-08
1.462821.5810523.497494e-08
1.470461.5809823.515770e-08
1.478141.5809133.534141e-08
1.485871.5808433.552608e-08
1.493631.5807733.571172e-08
1.501441.5807023.589833e-08
1.509281.5806313.608591e-08
1.517171.580563.627447e-08
1.525091.5804883.646402e-08
1.533061.5804163.665456e-08
1.541071.5803433.684609e-08
1.549131.5802713.703863e-08
1.557221.5801973.723217e-08
1.565361.5801243.742672e-08
1.573541.580053.762229e-08
1.581761.5799753.781888e-08
1.590021.57993.801650e-08
1.598331.5798243.821515e-08
1.61.5798093.825500e-08
1.606681.5797493.937620e-08
1.615081.5796724.078426e-08
1.623521.5795954.219968e-08
1.6321.5795184.362249e-08
1.640531.579444.505274e-08
1.64911.5793624.649046e-08
1.657721.5792834.793570e-08
1.666381.5792034.938848e-08
1.675091.5791235.084886e-08
1.683841.5790435.231687e-08
1.692641.5789625.379255e-08
1.701481.578885.527594e-08
1.710371.5787985.676708e-08
1.719311.5787155.826601e-08
1.72831.5786325.977278e-08
1.737331.5785486.128742e-08
1.74641.5784636.280997e-08
1.755531.5783786.434048e-08
1.76471.5782926.587898e-08
1.773921.5782066.742553e-08
1.783191.5781186.898015e-08
1.792511.578037.054290e-08
1.81.577967.179900e-08
1.801881.5779427.232496e-08
1.811291.5778537.496315e-08
1.820761.5777637.761514e-08
1.830271.5776728.028097e-08
1.839831.5775818.296074e-08
1.849451.5774898.565451e-08
1.859111.5773968.836236e-08
1.868831.5773029.108435e-08
1.878591.5772089.382057e-08
1.888411.5771139.657109e-08
1.898271.5770179.933597e-08
1.908191.576921.021153e-07
1.918161.5768221.049092e-07
1.928191.5767241.077176e-07
1.938261.5766251.105408e-07
1.948391.5765241.133786e-07
1.958571.5764231.162313e-07
1.96881.5763221.190990e-07
1.979091.5762191.219816e-07
1.989431.5761151.248792e-07
1.999831.576011.277920e-07
21.5760091.278400e-07
2.010281.5759051.312216e-07
2.020781.5757981.346775e-07
2.031341.5756911.381514e-07
2.041961.5755821.416435e-07
2.052631.5754731.451538e-07
2.063351.5753631.486825e-07
2.074131.5752511.522296e-07
2.084971.5751391.557953e-07
2.095861.5750251.593795e-07
2.106821.5749111.629825e-07
2.117821.5747951.666044e-07
2.128891.5746781.702451e-07
2.140011.574561.739049e-07
2.15121.5744411.775838e-07
2.162441.5743211.812820e-07
2.173741.57421.849994e-07
2.18511.5740771.887363e-07
2.196511.5739541.924927e-07
2.21.5739161.936400e-07
2.207991.5738291.989865e-07
2.219531.5737032.067067e-07
2.231121.5735752.144672e-07
2.242781.5734472.222683e-07
2.25451.5733172.301101e-07
2.266281.5731862.379929e-07
2.278121.5730532.459168e-07
2.290031.572922.538822e-07
2.301991.5727842.618892e-07
2.314021.5726482.699381e-07
2.326111.572512.780290e-07
2.338271.5723712.861622e-07
2.350491.572232.943378e-07
2.362771.5720883.025562e-07
2.375111.5719443.108176e-07
2.387521.5717993.191221e-07
2.41.5716533.274700e-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
—