Optical constants

Refractive index of PBL26 (OHARA)

PBL26: 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
1.56732
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.45649
Permittivity ε2
2.59369e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
42.832
Chromatic dispersion dn/dλ
-0.0675385 µm⁻¹
Group index ng
1.607
Group velocity dispersion
127.418 fs²/mm
Dispersion parameter D
-695.133 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

# PBL26 (OHARA): PBL26
ohara_pbl26 = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBL26", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbl26.range_nm)  # (300, 2400) nm
eps = ohara_pbl26.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=1.23494993λ2λ2−0.00862847509+0.169136142λ2λ2−0.0422686058+1.09067013λ2λ2−132.796906

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.23494993
C30.00862847509
C40.169136142
C50.0422686058
C61.09067013
C7132.796906

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.677e-06 0.0 0.0 0.0 0.0 0.0
nd
1.567322
Vd
42.831708
glass code
567428
glass status
preferred
density
value: 3100
thermal expansion
value: 8.9e-06, temperature range: 243 343; value: 1.04e-05, temperature range: 293 573
dPgF
-0.0009
resistance
acid: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 7.76e-07 K⁻¹ at 633 nm, dn/dT = 7.58e-07 K⁻¹ at 1310 nm, dn/dT = 7.54e-07 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
PBL26 (OHARA), PBL26: n and k versus wavelength
λ (µm)nk
0.31.6383150
0.3015681.6369690
0.3031431.6356520
0.3047271.6343640
0.306321.6331030
0.307921.6318690
0.3095291.6306610
0.311.6303137.390200e-06
0.3111471.6294786.810420e-06
0.3127721.6283195.988262e-06
0.3144071.6271835.161808e-06
0.3160491.6260714.331035e-06
0.3177011.624983.495922e-06
0.3193611.6239112.656445e-06
0.321.6235062.333300e-06
0.321031.6228622.167246e-06
0.3227071.6218331.896738e-06
0.3243931.6208251.624816e-06
0.3260881.6198351.351474e-06
0.3277921.6188631.076703e-06
0.3295051.617918.004962e-07
0.331.6176387.206900e-07
0.3312271.6169746.610342e-07
0.3329581.6160555.768770e-07
0.3346971.6151524.922801e-07
0.3364461.6142664.072412e-07
0.3382041.6133953.217579e-07
0.3399711.612542.358279e-07
0.341.6125262.344400e-07
0.3417481.6116992.103024e-07
0.3435341.6108731.856424e-07
0.3453291.6100611.608535e-07
0.3471331.6092631.359351e-07
0.3489471.6084781.108866e-07
0.351.6080319.634400e-08
0.350771.6077079.270655e-08
0.3526031.6069488.405106e-08
0.3544461.6062027.535035e-08
0.3562981.6054686.660417e-08
0.3581591.6047465.781229e-08
0.361.6040474.912000e-08
0.3600311.6040364.905982e-08
0.3619121.6033374.538612e-08
0.3638031.6026494.169323e-08
0.3657041.6019723.798104e-08
0.3676151.6013063.424945e-08
0.3695361.600653.049837e-08
0.371.6004942.959200e-08
0.3714671.6000042.881417e-08
0.3734081.5993692.778486e-08
0.3753591.5987432.675016e-08
0.377321.5981262.571007e-08
0.3792921.5975192.466453e-08
0.381.5973042.428900e-08
0.3812741.5969222.317677e-08
0.3832661.5963332.143714e-08
0.3852691.5957531.968842e-08
0.3872821.5951811.793057e-08
0.3893051.5946181.616353e-08
0.391.5944271.555700e-08
0.391341.5940631.518204e-08
0.3933841.5935161.460969e-08
0.395441.5929781.403435e-08
0.3975061.5924471.345600e-08
0.3995831.5919231.287463e-08
0.41.5918191.275800e-08
0.4016711.5914071.253105e-08
0.403771.5908991.224603e-08
0.405881.5903971.195952e-08
0.4080011.5899031.167151e-08
0.4101331.5894161.138200e-08
0.4122761.5889351.109097e-08
0.414431.5884611.079843e-08
0.4165951.5879941.050435e-08
0.4187721.5875331.020874e-08
0.421.5872771.004200e-08
0.420961.5870791.006495e-08
0.423161.586631.011752e-08
0.4253711.5861881.017037e-08
0.4275941.5857521.022349e-08
0.4298281.5853211.027689e-08
0.4320741.5848971.033057e-08
0.4343321.5844781.038453e-08
0.4366011.5840641.043877e-08
0.4388821.5836561.049329e-08
0.441.5834591.052000e-08
0.4411761.5832541.054810e-08
0.4434811.5828561.060320e-08
0.4457981.5824641.065858e-08
0.4481281.5820771.071425e-08
0.4504691.5816951.077022e-08
0.4528231.5813181.082647e-08
0.4551891.5809461.088302e-08
0.4575681.5805791.093987e-08
0.4599591.5802161.099701e-08
0.461.580211.099800e-08
0.4623621.5798581.060227e-08
0.4647781.5795051.019749e-08
0.4672061.5791569.790592e-09
0.4696481.5788119.381571e-09
0.4721021.5784718.970412e-09
0.4745691.5781358.557105e-09
0.4770481.5778038.141638e-09
0.4795411.5774757.724000e-09
0.481.5774157.647100e-09
0.4820471.5771527.679705e-09
0.4845661.5768327.719829e-09
0.4870981.5765167.760163e-09
0.4896431.5762047.800708e-09
0.4922011.5758967.841465e-09
0.4947731.5755927.882435e-09
0.4973581.5752917.923619e-09
0.4999571.5749947.965018e-09
0.51.5749897.965700e-09
0.502571.5747017.781372e-09
0.5051961.5744117.592996e-09
0.5078351.5741247.403635e-09
0.5104891.5738417.213284e-09
0.5131561.5735617.021939e-09
0.5158381.5732856.829594e-09
0.5185331.5730126.636244e-09
0.5212431.5727426.441884e-09
0.5239661.5724756.246508e-09
0.5267041.5722126.050111e-09
0.5294561.5719515.852688e-09
0.5322231.5716935.654234e-09
0.5350041.5714395.454742e-09
0.5377991.5711875.254208e-09
0.5406091.5709385.052626e-09
0.5434341.5706924.849991e-09
0.5462741.5704494.646297e-09
0.5491281.5702094.441539e-09
0.551.5701364.379000e-09
0.5519981.5699714.585938e-09
0.5548821.5697364.884747e-09
0.5577811.5695045.185118e-09
0.5606961.5692745.487059e-09
0.5636261.5690475.790577e-09
0.5665711.5688236.095681e-09
0.5695311.56866.402379e-09
0.5725071.5683816.710680e-09
0.5754981.5681637.020592e-09
0.5785061.5679497.332123e-09
0.5815281.5677367.645282e-09
0.5845671.5675267.960077e-09
0.5876221.5673188.276518e-09
0.5906921.5671128.594611e-09
0.5937791.5669098.914367e-09
0.5968811.5667079.235794e-09
0.61.5665089.558900e-09
0.6031351.5663119.608818e-09
0.6062871.5661169.658996e-09
0.6094551.5659239.709437e-09
0.6126391.5657339.760141e-09
0.615841.5655449.811111e-09
0.6190581.5653579.862346e-09
0.6222931.5651729.913850e-09
0.6255451.5649899.965622e-09
0.6288131.5648081.001766e-08
0.6320991.5646291.006998e-08
0.6354021.5644511.012257e-08
0.6387221.5642761.017543e-08
0.6420591.5641021.022857e-08
0.6454141.563931.028199e-08
0.6487871.5637591.033568e-08
0.651.5636991.035500e-08
0.6521771.5635911.014681e-08
0.6555851.5634249.820908e-09
0.659011.5632589.493298e-09
0.6624541.5630959.163977e-09
0.6659151.5629338.832935e-09
0.6693951.5627728.500164e-09
0.6728921.5626138.165653e-09
0.6764091.5624567.829395e-09
0.6799431.56237.491379e-09
0.6834961.5621467.151598e-09
0.6870671.5619936.810041e-09
0.6906571.5618426.466699e-09
0.6942661.5616926.121563e-09
0.6978941.5615435.774624e-09
0.71.5614585.573200e-09
0.7015411.5613965.585466e-09
0.7052061.561255.614652e-09
0.7088911.5611065.643991e-09
0.7125951.5609635.673483e-09
0.7163191.5608215.703129e-09
0.7200621.560685.732931e-09
0.7238241.5605415.762888e-09
0.7276061.5604035.793001e-09
0.7314081.5602665.823272e-09
0.735231.5601315.853701e-09
0.7390721.5599965.884289e-09
0.7429341.5598635.915037e-09
0.7468161.5597315.945945e-09
0.7507181.55965.977015e-09
0.7546411.559476.008248e-09
0.7585841.5593426.039643e-09
0.7625471.5592146.071203e-09
0.7665321.5590886.102928e-09
0.7705371.5589626.134818e-09
0.7745641.5588386.166875e-09
0.7786111.5587156.199099e-09
0.7826791.5585926.231492e-09
0.7867691.5584716.264054e-09
0.790881.5583516.296786e-09
0.7950121.5582316.329689e-09
0.7991671.5581136.362765e-09
0.81.5580896.369400e-09
0.8033421.5579956.635747e-09
0.807541.5578796.970242e-09
0.811761.5577637.306484e-09
0.8160011.5576487.644483e-09
0.8202651.5575347.984248e-09
0.8245511.5574218.325789e-09
0.828861.5573098.669114e-09
0.8331911.5571979.014233e-09
0.8375441.5570879.361155e-09
0.8419211.5569779.709891e-09
0.846321.5568681.006045e-08
0.8507421.5567591.041284e-08
0.8551871.5566521.076707e-08
0.8596561.5565451.112315e-08
0.8641481.5564391.148109e-08
0.8686631.5563341.184090e-08
0.8732021.5562291.220260e-08
0.8777651.5561251.256618e-08
0.8823511.5560221.293166e-08
0.8869621.5559191.329905e-08
0.8915971.5558171.366836e-08
0.8962551.5557161.403961e-08
0.91.5556351.433800e-08
0.9009391.5556151.435295e-08
0.9056461.5555151.442794e-08
0.9103781.5554161.450333e-08
0.9151351.5553171.457911e-08
0.9199171.5552191.465528e-08
0.9247241.5551211.473185e-08
0.9295561.5550241.480882e-08
0.9344131.5549271.488620e-08
0.9392951.5548311.496398e-08
0.9442041.5547351.504216e-08
0.9491371.554641.512076e-08
0.9540971.5545461.519976e-08
0.9590821.5544511.527918e-08
0.9640931.5543581.535901e-08
0.9691311.5542651.543926e-08
0.9741951.5541721.551993e-08
0.9792851.554081.560102e-08
0.9844021.5539881.568253e-08
0.9895461.5538961.576447e-08
0.9947171.5538051.584684e-08
0.9999141.5537141.592964e-08
11.5537131.593100e-08
1.005141.5536241.601289e-08
1.010391.5535341.609659e-08
1.015671.5534451.618071e-08
1.020981.5533551.626528e-08
1.026311.5532671.635029e-08
1.031681.5531781.643575e-08
1.037071.553091.652165e-08
1.042491.5530021.660800e-08
1.047931.5529141.669480e-08
1.053411.5528271.678206e-08
1.058911.552741.686977e-08
1.064451.5526531.695794e-08
1.070011.5525661.704657e-08
1.07561.552481.713566e-08
1.081221.5523941.722522e-08
1.086871.5523081.731525e-08
1.092551.5522221.740575e-08
1.098261.5521371.749672e-08
1.1041.5520521.758816e-08
1.109761.5519671.768008e-08
1.115561.5518821.777249e-08
1.121391.5517971.786537e-08
1.127251.5517131.795875e-08
1.133141.5516281.805260e-08
1.139061.5515441.814695e-08
1.145011.551461.824180e-08
1.1511.5513761.833714e-08
1.157011.5512921.843297e-08
1.163061.5512081.852931e-08
1.169131.5511241.862615e-08
1.175241.551041.872350e-08
1.181381.5509571.882135e-08
1.187561.5508731.891972e-08
1.193761.5507891.901860e-08
1.21.5507061.911800e-08
1.21.5507061.911800e-08
1.206271.5506221.991856e-08
1.212571.5505392.072330e-08
1.218911.5504552.153225e-08
1.225281.5503722.234542e-08
1.231681.5502882.316284e-08
1.238121.5502052.398454e-08
1.244591.5501212.481052e-08
1.251091.5500382.564083e-08
1.257631.5499542.647547e-08
1.26421.549872.731447e-08
1.27081.5497872.815786e-08
1.277441.5497032.900565e-08
1.284121.5496192.985788e-08
1.290831.5495353.071455e-08
1.297571.5494513.157571e-08
1.304351.5493663.244136e-08
1.311171.5492823.331154e-08
1.318021.5491973.418626e-08
1.324911.5491123.506555e-08
1.331831.5490283.594944e-08
1.338791.5489423.683795e-08
1.345781.5488573.773110e-08
1.352821.5487723.862892e-08
1.359891.5486863.953142e-08
1.366991.54864.043865e-08
1.374131.5485144.135061e-08
1.381311.5484284.226734e-08
1.388531.5483414.318886e-08
1.395791.5482544.411519e-08
1.41.5482044.465300e-08
1.403081.5481674.514552e-08
1.410411.548084.631748e-08
1.417781.5479924.749557e-08
1.425191.5479044.867982e-08
1.432641.5478164.987025e-08
1.440121.5477285.106690e-08
1.447651.5476395.226981e-08
1.455211.5475495.347900e-08
1.462821.547465.469451e-08
1.470461.547375.591637e-08
1.478141.547285.714462e-08
1.485871.5471895.837929e-08
1.493631.5470985.962040e-08
1.501441.5470066.086800e-08
1.509281.5469146.212212e-08
1.517171.5468226.338279e-08
1.525091.5467296.465005e-08
1.533061.5466366.592394e-08
1.541071.5465426.720447e-08
1.549131.5464486.849170e-08
1.557221.5463546.978566e-08
1.565361.5462597.108637e-08
1.573541.5461637.239389e-08
1.581761.5460677.370823e-08
1.590021.545977.502945e-08
1.598331.5458737.635756e-08
1.61.5458547.662400e-08
1.606681.5457758.275929e-08
1.615081.5456779.046433e-08
1.623521.5455789.820964e-08
1.6321.5454791.059954e-07
1.640531.5453791.138219e-07
1.64911.5452781.216892e-07
1.657721.5451771.295977e-07
1.666381.5450751.375475e-07
1.675091.5449721.455388e-07
1.683841.5448691.535719e-07
1.692641.5447651.616470e-07
1.701481.5446611.697642e-07
1.710371.5445551.779239e-07
1.719311.5444491.861262e-07
1.72831.5443431.943714e-07
1.737331.5442352.026596e-07
1.74641.5441272.109912e-07
1.755531.5440182.193663e-07
1.76471.5439082.277851e-07
1.773921.5437982.362479e-07
1.783191.5436872.447550e-07
1.792511.5435752.533065e-07
1.81.5434842.601800e-07
1.801881.5434622.641472e-07
1.811291.5433482.840468e-07
1.820761.5432333.040504e-07
1.830271.5431183.241584e-07
1.839831.5430013.443716e-07
1.849451.5428843.646903e-07
1.859111.5427663.851153e-07
1.868831.5426464.056469e-07
1.878591.5425264.262859e-07
1.888411.5424054.470326e-07
1.898271.5422834.678878e-07
1.908191.542164.888520e-07
1.918161.5420365.099257e-07
1.928191.5419115.311095e-07
1.938261.5417855.524040e-07
1.948391.5416575.738098e-07
1.958571.5415295.953274e-07
1.96881.54146.169575e-07
1.979091.5412696.387006e-07
1.989431.5411386.605573e-07
1.999831.5410056.825282e-07
21.5410036.828900e-07
2.010281.5408717.247750e-07
2.020781.5407367.675800e-07
2.031341.54068.106088e-07
2.041961.5404628.538623e-07
2.052631.5403248.973419e-07
2.063351.5401849.410487e-07
2.074131.5400429.849838e-07
2.084971.53991.029149e-06
2.095861.5397561.073544e-06
2.106821.5396111.118171e-06
2.117821.5394641.163032e-06
2.128891.5393171.208127e-06
2.140011.5391671.253458e-06
2.15121.5390171.299025e-06
2.162441.5388651.344831e-06
2.173741.5387111.390876e-06
2.18511.5385561.437162e-06
2.196511.53841.483689e-06
2.21.5383521.497900e-06
2.207991.5382421.535593e-06
2.219531.5380831.590020e-06
2.231121.5379221.644731e-06
2.242781.5377591.699729e-06
2.25451.5375951.755014e-06
2.266281.5374291.810587e-06
2.278121.5372621.866451e-06
2.290031.5370931.922607e-06
2.301991.5369221.979056e-06
2.314021.5367492.035801e-06
2.326111.5365752.092841e-06
2.338271.5363992.150180e-06
2.350491.5362222.207819e-06
2.362771.5360422.265758e-06
2.375111.5358612.324001e-06
2.387521.5356772.382547e-06
2.41.5354922.441400e-06

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
—