Optical constants

Refractive index of L-BAL42 (OHARA)

L-BAL42: n,k 0.29–0.9 µm

Data
formula 2 + tabulated k
Range
0.29–0.9 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.29–0.9 µm
Refractive index n
1.58312
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.50628
Permittivity ε2
2.61984e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
59.386
Chromatic dispersion dn/dλ
-0.0507441 µm⁻¹
Group index ng
1.61294
Group velocity dispersion
88.4777 fs²/mm
Dispersion parameter D
-482.693 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

# L-BAL42 (OHARA): L-BAL42
ohara_l_bal42 = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-BAL42", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_bal42.range_nm)  # (290, 900) nm
eps = ohara_l_bal42.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=1.39528097λ2λ2−0.011186203+0.072551952λ2λ2+0.0246748575+1.66335848λ2λ2−167.717958

Valid from 0.29 to 0.9 µm.

Coefficients as stored
CiValue
C10.0
C21.39528097
C30.011186203
C40.072551952
C5-0.0246748575
C61.66335848
C7167.717958

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 2.46e-06 9.17e-09 -3.83e-11 4.68e-07 4.9e-10 0.21
nd
1.583126
Vd
59.385694
glass code
583594
density
value: 3050
thermal expansion
value: 7.2e-06, temperature range: 243 343; value: 8.8e-06, temperature range: 293 573
dPgF
-0.0031
resistance
acid: 5.2; climatic: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 1.79e-06 K⁻¹ at 633 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 421 wavelengths, the same grid as the API and the library
L-BAL42 (OHARA), L-BAL42: n and k versus wavelength
λ (µm)nk
0.291.632366.913400e-06
0.2908241.6319536.670339e-06
0.2916511.6315496.426587e-06
0.292481.6311486.182142e-06
0.2933111.6307495.937002e-06
0.2941451.6303545.691165e-06
0.2949811.6299625.444630e-06
0.295821.6295725.197394e-06
0.296661.6291854.949455e-06
0.2975041.6288014.700812e-06
0.2983491.628424.451461e-06
0.2991971.6280414.201402e-06
0.31.6276873.964700e-06
0.3000481.6276663.956279e-06
0.3009011.6272933.805732e-06
0.3017561.6269223.654757e-06
0.3026141.6265553.503353e-06
0.3034741.626193.351519e-06
0.3043361.6258273.199254e-06
0.3052011.6254673.046555e-06
0.3060691.625112.893422e-06
0.3069391.6247552.739855e-06
0.3078111.6244032.585850e-06
0.3086861.6240532.431408e-06
0.3095641.6237062.276527e-06
0.311.6235352.199500e-06
0.3104441.6233612.154130e-06
0.3113261.6230192.063868e-06
0.3122111.6226791.973350e-06
0.3130981.6223421.882575e-06
0.3139881.6220071.791541e-06
0.3148811.6216741.700249e-06
0.3157761.6213441.608698e-06
0.3166731.6210161.516886e-06
0.3175731.620691.424813e-06
0.3184761.6203671.332478e-06
0.3193811.6200461.239881e-06
0.321.6198281.176600e-06
0.3202891.6197271.160476e-06
0.32121.619411.109715e-06
0.3221131.6190951.058809e-06
0.3230281.6187831.007758e-06
0.3239461.6184739.565621e-07
0.3248671.6181659.052208e-07
0.325791.6178598.537335e-07
0.3267171.6175568.020999e-07
0.3276451.6172547.503195e-07
0.3285761.6169556.983919e-07
0.329511.6166576.463167e-07
0.331.6165036.190200e-07
0.3304471.6163626.054423e-07
0.3313861.6160695.769148e-07
0.3323281.6157775.483063e-07
0.3332731.6154885.196165e-07
0.334221.6152014.908452e-07
0.335171.6149164.619920e-07
0.3361231.6146324.330569e-07
0.3370781.6143514.040395e-07
0.3380361.6140713.749396e-07
0.3389971.6137943.457570e-07
0.3399611.6135183.164914e-07
0.341.6135073.153000e-07
0.3409271.6132443.020465e-07
0.3418961.6129722.881928e-07
0.3428681.6127022.742998e-07
0.3438431.6124342.603674e-07
0.344821.6121682.463953e-07
0.34581.6119032.323835e-07
0.3467831.611642.183318e-07
0.3477691.6113792.042403e-07
0.3487571.611121.901087e-07
0.3497481.6108621.759369e-07
0.351.6107981.723400e-07
0.3507431.6106071.664615e-07
0.3517391.6103531.585688e-07
0.3527391.61011.506537e-07
0.3537421.609851.427161e-07
0.3547471.6096011.347559e-07
0.3557561.6093531.267731e-07
0.3567671.6091081.187676e-07
0.3577811.6088641.107393e-07
0.3587981.6086211.026883e-07
0.3598181.6083819.461429e-08
0.361.6083389.317200e-08
0.3608411.6081419.008787e-08
0.3618661.6079048.632462e-08
0.3628951.6076688.255069e-08
0.3639261.6074347.876602e-08
0.3649611.6072017.497060e-08
0.3659981.6069697.116439e-08
0.3670381.606746.734736e-08
0.3680821.6065116.351948e-08
0.3691281.6062855.968072e-08
0.371.6060975.648100e-08
0.3701771.6060595.618142e-08
0.3712291.6058365.440195e-08
0.3722851.6056135.261741e-08
0.3733431.6053935.082781e-08
0.3744041.6051734.903312e-08
0.3754681.6049554.723332e-08
0.3765351.6047394.542842e-08
0.3776061.6045244.361838e-08
0.3786791.604314.180319e-08
0.3797551.6040983.998285e-08
0.381.604053.956900e-08
0.3808351.6038873.834690e-08
0.3819171.6036773.676202e-08
0.3830031.6034693.517265e-08
0.3840911.6032623.357875e-08
0.3851831.6030573.198033e-08
0.3862781.6028533.037736e-08
0.3873761.602652.876983e-08
0.3884771.6024492.715774e-08
0.3895811.6022482.554106e-08
0.391.6021732.492800e-08
0.3906891.6020492.453053e-08
0.3917991.6018522.388955e-08
0.3929131.6016562.324675e-08
0.394031.601462.260212e-08
0.395151.6012672.195566e-08
0.3962731.6010742.130736e-08
0.3973991.6008832.065722e-08
0.3985291.6006932.000523e-08
0.3996611.6005041.935139e-08
0.41.6004481.915600e-08
0.4007971.6003161.919420e-08
0.4019371.600131.924877e-08
0.4030791.5999441.930349e-08
0.4042251.599761.935837e-08
0.4053741.5995771.941341e-08
0.4065261.5993961.946860e-08
0.4076821.5992151.952395e-08
0.408841.5990361.957946e-08
0.4100031.5988571.963512e-08
0.4111681.598681.969094e-08
0.4123371.5985041.974693e-08
0.4135091.5983291.980307e-08
0.4146841.5981551.985937e-08
0.4158631.5979821.991583e-08
0.4170451.5978111.997245e-08
0.418231.597642.002923e-08
0.4194191.5974712.008617e-08
0.421.5973882.011400e-08
0.4206111.5973022.003568e-08
0.4218071.5971351.988247e-08
0.4230061.5969681.972883e-08
0.4242081.5968031.957474e-08
0.4254141.5966391.942022e-08
0.4266231.5964761.926526e-08
0.4278361.5963131.910987e-08
0.4290521.5961521.895402e-08
0.4302711.5959921.879774e-08
0.4314941.5958331.864101e-08
0.4327211.5956741.848384e-08
0.4339511.5955171.832622e-08
0.4351841.5953611.816815e-08
0.4364211.5952061.800963e-08
0.4376621.5950511.785066e-08
0.4389061.5948981.769124e-08
0.441.5947641.755100e-08
0.4401531.5947451.752895e-08
0.4414041.5945941.734885e-08
0.4426591.5944431.716824e-08
0.4439171.5942941.698712e-08
0.4451791.5941451.680549e-08
0.4464441.5939971.662334e-08
0.4477131.593851.644067e-08
0.4489861.5937041.625748e-08
0.4502621.5935591.607377e-08
0.4515421.5934151.588954e-08
0.4528251.5932711.570478e-08
0.4541131.5931291.551950e-08
0.4554031.5929871.533369e-08
0.4566981.5928461.514736e-08
0.4579961.5927061.496049e-08
0.4592981.5925671.477310e-08
0.461.5924931.467200e-08
0.4606031.5924291.457561e-08
0.4619121.5922921.436639e-08
0.4632251.5921551.415658e-08
0.4645421.5920191.394618e-08
0.4658621.5918841.373518e-08
0.4671871.591751.352357e-08
0.4685151.5916171.331137e-08
0.4698461.5914841.309856e-08
0.4711821.5913531.288515e-08
0.4725211.5912221.267113e-08
0.4738641.5910921.245650e-08
0.4752111.5909621.224127e-08
0.4765621.5908341.202542e-08
0.4779161.5907061.180895e-08
0.4792751.5905791.159188e-08
0.481.5905111.147600e-08
0.4806371.5904521.136417e-08
0.4820031.5903271.112438e-08
0.4833731.5902021.088392e-08
0.4847471.5900781.064277e-08
0.4861251.5899541.040094e-08
0.4875071.5898321.015842e-08
0.4888931.589719.915206e-09
0.4902821.5895889.671304e-09
0.4916761.5894689.426709e-09
0.4930731.5893489.181419e-09
0.4944751.5892298.935431e-09
0.495881.5891118.688745e-09
0.497291.5889938.441357e-09
0.4987031.5888768.193266e-09
0.51.5887697.965700e-09
0.5001211.588767.957023e-09
0.5015431.5886447.855050e-09
0.5029681.5885297.752786e-09
0.5043981.5884147.650232e-09
0.5058311.5883017.547387e-09
0.5072691.5881887.444249e-09
0.5087111.5880757.340818e-09
0.5101571.5879647.237093e-09
0.5116071.5878537.133073e-09
0.5130611.5877427.028758e-09
0.514521.5876326.924146e-09
0.5159821.5875236.819236e-09
0.5174491.5874156.714029e-09
0.518921.5873076.608522e-09
0.5203951.5871996.502716e-09
0.5218741.5870936.396609e-09
0.5233571.5869866.290200e-09
0.5248451.5868816.183488e-09
0.5263371.5867766.076474e-09
0.5278331.5866725.969155e-09
0.5293331.5865685.861531e-09
0.5308381.5864655.753602e-09
0.5323461.5863625.645365e-09
0.533861.586265.536821e-09
0.5353771.5861595.427968e-09
0.5368991.5860585.318806e-09
0.5384251.5859585.209334e-09
0.5399551.5858585.099550e-09
0.541491.5857594.989455e-09
0.5430291.585664.879046e-09
0.5445731.5855624.768324e-09
0.5461211.5854644.657287e-09
0.5476731.5853674.545934e-09
0.549231.5852714.434265e-09
0.551.5852234.379000e-09
0.5507911.5851754.460918e-09
0.5523561.585084.623108e-09
0.5539261.5849854.785759e-09
0.5555011.584894.948873e-09
0.557081.5847965.112450e-09
0.5586631.5847035.276493e-09
0.5602511.584615.441001e-09
0.5618441.5845185.605977e-09
0.5634411.5844265.771423e-09
0.5650421.5843355.937338e-09
0.5666481.5842446.103725e-09
0.5682591.5841536.270585e-09
0.5698741.5840646.437919e-09
0.5714941.5839746.605729e-09
0.5731181.5838856.774016e-09
0.5747471.5837976.942781e-09
0.5763811.5837097.112026e-09
0.5780191.5836217.281752e-09
0.5796621.5835347.451960e-09
0.581311.5834487.622652e-09
0.5829621.5833627.793830e-09
0.5846191.5832767.965493e-09
0.5862811.5831918.137645e-09
0.5879481.5831068.310286e-09
0.5896191.5830228.483418e-09
0.5912951.5829388.657042e-09
0.5929751.5828548.831160e-09
0.5946611.5827719.005772e-09
0.5963511.5826899.180881e-09
0.5980461.5826079.356487e-09
0.5997461.5825259.532593e-09
0.61.5825139.558900e-09
0.6014511.5824449.582000e-09
0.603161.5823639.609219e-09
0.6048751.5822829.636516e-09
0.6065941.5822029.663891e-09
0.6083181.5821239.691344e-09
0.6100471.5820439.718874e-09
0.6117811.5819659.746483e-09
0.613521.5818869.774171e-09
0.6152641.5818089.801937e-09
0.6170131.581739.829782e-09
0.6187671.5816539.857706e-09
0.6205261.5815769.885709e-09
0.6222891.58159.913792e-09
0.6240581.5814249.941955e-09
0.6258321.5813489.970198e-09
0.6276111.5812739.998521e-09
0.6293951.5811981.002692e-08
0.6311841.5811231.005541e-08
0.6329781.5810491.008397e-08
0.6347771.5809751.011262e-08
0.6365811.5809011.014135e-08
0.6383911.5808281.017016e-08
0.6402051.5807551.019905e-08
0.6420251.5806831.022802e-08
0.643851.5806111.025708e-08
0.645681.5805391.028622e-08
0.6475151.5804681.031544e-08
0.6493561.5803971.034475e-08
0.651.5803721.035500e-08
0.6512021.5803261.037415e-08
0.6530531.5802551.040366e-08
0.6549091.5801851.043325e-08
0.656771.5801161.046292e-08
0.6586371.5800461.049268e-08
0.6605091.5799771.052252e-08
0.6623871.5799091.055245e-08
0.664271.579841.058246e-08
0.6661581.5797721.061255e-08
0.6680511.5797041.064274e-08
0.669951.5796371.067300e-08
0.6718541.579571.070336e-08
0.6737641.5795031.073380e-08
0.6756791.5794361.076433e-08
0.67761.579371.079494e-08
0.6795261.5793041.082564e-08
0.6814571.5792381.085643e-08
0.6833941.5791731.088730e-08
0.6853371.5791081.091827e-08
0.6872851.5790431.094932e-08
0.6892381.5789791.098046e-08
0.6911971.5789141.101169e-08
0.6931621.578851.104300e-08
0.6951321.5787871.107441e-08
0.6971081.5787241.110590e-08
0.699091.578661.113749e-08
0.71.5786321.115200e-08
0.7010771.5785981.110051e-08
0.7030691.5785351.100520e-08
0.7050681.5784731.090963e-08
0.7070721.5784111.081378e-08
0.7090821.5783491.071766e-08
0.7110971.5782881.062126e-08
0.7131181.5782261.052460e-08
0.7151451.5781651.042765e-08
0.7171781.5781051.033044e-08
0.7192171.5780441.023294e-08
0.7212611.5779841.013517e-08
0.7233111.5779241.003712e-08
0.7253671.5778659.938794e-09
0.7274291.5778059.840187e-09
0.7294971.5777469.741299e-09
0.731571.5776879.642131e-09
0.7336491.5776289.542680e-09
0.7357351.577579.442947e-09
0.7378261.5775119.342930e-09
0.7399231.5774539.242629e-09
0.7420261.5773969.142043e-09
0.7441361.5773389.041171e-09
0.7462511.5772818.940012e-09
0.7483721.5772248.838566e-09
0.7504991.5771678.736832e-09
0.7526321.577118.634808e-09
0.7547721.5770548.532494e-09
0.7569171.5769978.429890e-09
0.7590681.5769418.326993e-09
0.7612261.5768868.223805e-09
0.763391.576838.120323e-09
0.765561.5767758.016546e-09
0.7677361.5767197.912475e-09
0.7699181.5766647.808108e-09
0.7721061.576617.703445e-09
0.7743011.5765557.598484e-09
0.7765021.5765017.493224e-09
0.7787091.5764467.387666e-09
0.7809221.5763927.281807e-09
0.7831421.5763397.175648e-09
0.7853681.5762857.069186e-09
0.78761.5762326.962422e-09
0.7898391.5761786.855355e-09
0.7920841.5761256.747983e-09
0.7943361.5760726.640306e-09
0.7965931.576026.532324e-09
0.7988581.5759676.424034e-09
0.81.5759416.369400e-09
0.8011281.5759156.459313e-09
0.8034051.5758636.640769e-09
0.8056891.5758116.822741e-09
0.8079791.5757597.005230e-09
0.8102761.5757077.188237e-09
0.8125791.5756567.371765e-09
0.8148891.5756047.555815e-09
0.8172051.5755537.740387e-09
0.8195281.5755027.925485e-09
0.8218571.5754518.111108e-09
0.8241931.5754018.297259e-09
0.8265361.575358.483939e-09
0.8288851.57538.671150e-09
0.8312411.5752498.858893e-09
0.8336041.5751999.047170e-09
0.8359731.5751499.235981e-09
0.838351.57519.425330e-09
0.8407331.575059.615216e-09
0.8431221.5750019.805643e-09
0.8455191.5749519.996610e-09
0.8479221.5749021.018812e-08
0.8503321.5748531.038018e-08
0.8527491.5748041.057278e-08
0.8551731.5747551.076592e-08
0.8576041.5747061.095962e-08
0.8600421.5746581.115387e-08
0.8624861.574611.134867e-08
0.8649381.5745611.154402e-08
0.8673961.5745131.173993e-08
0.8698621.5744651.193640e-08
0.8723341.5744171.213342e-08
0.8748141.5743691.233101e-08
0.87731.5743221.252915e-08
0.8797941.5742741.272786e-08
0.8822951.5742271.292713e-08
0.8848031.5741791.312697e-08
0.8873171.5741321.332738e-08
0.889841.5740851.352836e-08
0.8923691.5740381.372991e-08
0.8949051.5739911.393203e-08
0.8974491.5739451.413473e-08
0.91.5738981.433800e-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
—