Optical constants

Refractive index of NSL3 (OHARA)

NSL3: n,k 0.365–0.9 µm

Data
formula 3 + tabulated k
Range
0.365–0.9 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.365–0.9 µm
Refractive index n
1.51823
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.30501
Permittivity ε2
3.93539e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
58.966
Chromatic dispersion dn/dλ
-0.0453733 µm⁻¹
Group index ng
1.54489
Group velocity dispersion
79.1385 fs²/mm
Dispersion parameter D
-431.743 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

# NSL3 (OHARA): NSL3
ohara_nsl3 = ls.fetch_refractiveindex("specs", "OHARA-optical", "NSL3", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_nsl3.range_nm)  # (365, 900) nm
eps = ohara_nsl3.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

Polynomial (formula 3), λ in µm
n2=2.269695−0.007150002⁢λ2.0+0.01337006⁢λ−2.0−0.0002761508⁢λ−4.0+6.605453×10-5⁢λ−6.0−3.180633×10-6⁢λ−8.0

Valid from 0.365 to 0.9 µm.

Coefficients as stored
CiValue
C12.269695
C2-0.007150002
C32.0
C40.01337006
C5-2.0
C6-0.0002761508
C7-4.0
C86.605453e-05
C9-6.0
C10-3.180633e-06
C11-8.0

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 4.8656e-06 0.0 0.0 0.0 0.0 0.0
nd
1.518229
Vd
58.966406
glass code
518590
glass status
preferred
density
value: 2530
thermal expansion
value: 8.8e-06, temperature range: 243 343; value: 1.03e-05, temperature range: 293 573
dPgF
-0.0004

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.08e-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 414 wavelengths, the same grid as the API and the library
NSL3 (OHARA), NSL3: n and k versus wavelength
λ (µm)nk
0.3651.5399283.644450e-08
0.3658271.5397623.531174e-08
0.3666551.5395963.417642e-08
0.3674851.5394313.303853e-08
0.3683171.5392673.189806e-08
0.3691511.5391043.075501e-08
0.3699871.5389422.960937e-08
0.371.5389392.959200e-08
0.3708251.538782.991018e-08
0.3716651.5386193.023397e-08
0.3725061.538463.055850e-08
0.373351.53833.088376e-08
0.3741951.5381423.120976e-08
0.3750431.5379853.153650e-08
0.3758921.5378283.186398e-08
0.3767431.5376723.219220e-08
0.3775961.5375173.252116e-08
0.3784511.5373623.285087e-08
0.3793081.5372093.318132e-08
0.381.5370863.344800e-08
0.3801671.5370563.320082e-08
0.3810281.5369043.192923e-08
0.3818911.5367533.065475e-08
0.3827561.5366022.937739e-08
0.3836231.5364522.809714e-08
0.3844911.5363032.681398e-08
0.3853621.5361552.552793e-08
0.3862351.5360082.423896e-08
0.3871091.5358612.294707e-08
0.3879861.5357152.165225e-08
0.3888641.535572.035450e-08
0.3897451.5354251.905382e-08
0.391.5353841.867700e-08
0.3906271.5352821.830561e-08
0.3915121.5351391.778204e-08
0.3923991.5349961.725728e-08
0.3932871.5348551.673134e-08
0.3941781.5347141.620420e-08
0.395071.5345741.567587e-08
0.3959651.5344351.514635e-08
0.3968621.5342961.461562e-08
0.397761.5341581.408370e-08
0.3986611.5340211.355056e-08
0.3995641.5338841.301623e-08
0.41.5338191.275800e-08
0.4004691.5337491.277295e-08
0.4013751.5336131.280187e-08
0.4022841.5334791.283087e-08
0.4031951.5333451.285993e-08
0.4041081.5332121.288905e-08
0.4050231.533081.291824e-08
0.405941.5329481.294750e-08
0.406861.5328171.297683e-08
0.4077811.5326871.300622e-08
0.4087041.5325571.303567e-08
0.409631.5324281.306520e-08
0.4105581.53231.309479e-08
0.4114871.5321721.312444e-08
0.4124191.5320451.315417e-08
0.4133531.5319191.318396e-08
0.4142891.5317931.321382e-08
0.4152271.5316681.324374e-08
0.4161671.5315441.327374e-08
0.417111.531421.330380e-08
0.4180541.5312971.333393e-08
0.4190011.5311741.336413e-08
0.419951.5310531.339440e-08
0.421.5310461.339600e-08
0.4209011.5309311.358312e-08
0.4218541.5308111.378113e-08
0.4228091.5306911.397959e-08
0.4237671.5305711.417849e-08
0.4247261.5304521.437785e-08
0.4256881.5303341.457766e-08
0.4266521.5302171.477792e-08
0.4276181.53011.497864e-08
0.4285861.5299831.517980e-08
0.4295571.5298671.538143e-08
0.430531.5297521.558351e-08
0.4315041.5296381.578605e-08
0.4324821.5295241.598905e-08
0.4334611.529411.619250e-08
0.4344421.5292971.639642e-08
0.4354261.5291851.660080e-08
0.4364121.5290731.680564e-08
0.43741.5289621.701095e-08
0.4383911.5288511.721672e-08
0.4393841.5287411.742296e-08
0.441.5286731.755100e-08
0.4403791.5286321.749649e-08
0.4413761.5285231.735294e-08
0.4423751.5284141.720907e-08
0.4433771.5283071.706487e-08
0.4443811.5281991.692034e-08
0.4453871.5280921.677549e-08
0.4463961.5279861.663031e-08
0.4474071.5278811.648479e-08
0.448421.5277751.633895e-08
0.4494351.5276711.619278e-08
0.4504531.5275671.604628e-08
0.4514731.5274631.589945e-08
0.4524951.527361.575228e-08
0.453521.5272571.560478e-08
0.4545471.5271551.545695e-08
0.4555761.5270541.530878e-08
0.4566081.5269531.516028e-08
0.4576421.5268521.501144e-08
0.4586781.5267521.486226e-08
0.4597171.5266531.471274e-08
0.461.5266261.467200e-08
0.4607581.5265531.469618e-08
0.4618011.5264551.472946e-08
0.4628471.5263571.476282e-08
0.4638951.5262591.479626e-08
0.4649461.5261621.482977e-08
0.4659981.5260651.486335e-08
0.4670541.5259691.489701e-08
0.4681111.5258741.493075e-08
0.4691711.5257781.496457e-08
0.4702341.5256841.499846e-08
0.4712991.5255891.503243e-08
0.4723661.5254951.506647e-08
0.4734351.5254021.510059e-08
0.4745081.5253091.513479e-08
0.4755821.5252171.516907e-08
0.4766591.5251251.520342e-08
0.4777381.5250331.523785e-08
0.478821.5249421.527236e-08
0.4799041.5248511.530695e-08
0.481.5248431.531000e-08
0.4809911.5247611.514373e-08
0.482081.5246711.496102e-08
0.4831721.5245821.477789e-08
0.4842661.5244931.459435e-08
0.4853631.5244041.441040e-08
0.4864621.5243161.422603e-08
0.4875631.5242291.404124e-08
0.4886671.5241411.385603e-08
0.4897741.5240551.367041e-08
0.4908831.5239681.348436e-08
0.4919951.5238821.329789e-08
0.4931091.5237971.311100e-08
0.4942251.5237111.292369e-08
0.4953451.5236271.273595e-08
0.4964661.5235421.254779e-08
0.497591.5234581.235920e-08
0.4987171.5233751.217018e-08
0.4998471.5232911.198074e-08
0.51.523281.195500e-08
0.5009781.5232091.189252e-08
0.5021131.5231261.182008e-08
0.503251.5230441.174748e-08
0.504391.5229631.167471e-08
0.5055321.5228811.160178e-08
0.5066761.52281.152868e-08
0.5078241.522721.145542e-08
0.5089741.522641.138199e-08
0.5101261.522561.130840e-08
0.5112811.5224811.123464e-08
0.5124391.5224021.116071e-08
0.51361.5223231.108661e-08
0.5147631.5222451.101235e-08
0.5159281.5221671.093791e-08
0.5170971.5220891.086331e-08
0.5182681.5220121.078854e-08
0.5194411.5219351.071361e-08
0.5206171.5218591.063850e-08
0.5217961.5217831.056322e-08
0.5229781.5217071.048777e-08
0.5241621.5216311.041215e-08
0.5253491.5215561.033636e-08
0.5265391.5214821.026040e-08
0.5277311.5214071.018426e-08
0.5289261.5213331.010795e-08
0.5301241.5212591.003147e-08
0.5313241.5211869.954822e-09
0.5325271.5211139.877995e-09
0.5337331.521049.800994e-09
0.5349421.5209689.723819e-09
0.5361531.5208969.646470e-09
0.5373671.5208249.568945e-09
0.5385841.5207539.491244e-09
0.5398041.5206819.413368e-09
0.5410261.5206119.335315e-09
0.5422511.520549.257085e-09
0.5434791.520479.178679e-09
0.544711.52049.100094e-09
0.5459431.5203319.021332e-09
0.547181.5202618.942392e-09
0.5484191.5201928.863272e-09
0.5496611.5201248.783974e-09
0.551.5201058.762300e-09
0.5509051.5200558.863375e-09
0.5521531.5199879.002664e-09
0.5534031.519929.142268e-09
0.5546561.5198529.282188e-09
0.5559121.5197859.422425e-09
0.5571711.5197189.562979e-09
0.5584331.5196529.703852e-09
0.5596971.5195859.845044e-09
0.5609651.5195199.986555e-09
0.5622351.5194541.012839e-08
0.5635081.5193881.027054e-08
0.5647841.5193231.041302e-08
0.5660631.5192581.055581e-08
0.5673451.5191941.069893e-08
0.568631.519131.084238e-08
0.5699171.5190661.098615e-08
0.5712081.5190021.113024e-08
0.5725011.5189381.127467e-08
0.5737981.5188751.141942e-08
0.5750971.5188121.156449e-08
0.5763991.518751.170990e-08
0.5777051.5186871.185563e-08
0.5790131.5186251.200170e-08
0.5803241.5185631.214809e-08
0.5816381.5185021.229482e-08
0.5829551.518441.244188e-08
0.5842751.5183791.258927e-08
0.5855981.5183181.273699e-08
0.5869241.5182581.288505e-08
0.5882531.5181981.303345e-08
0.5895861.5181381.318218e-08
0.5909211.5180781.333125e-08
0.5922591.5180181.348066e-08
0.59361.5179591.363040e-08
0.5949441.51791.378048e-08
0.5962911.5178411.393091e-08
0.5976421.5177821.408167e-08
0.5989951.5177241.423278e-08
0.61.5176811.434500e-08
0.6003511.5176661.438987e-08
0.6017111.5176081.456353e-08
0.6030731.5175511.473758e-08
0.6044391.5174931.491203e-08
0.6058081.5174361.508687e-08
0.607181.5173791.526211e-08
0.6085541.5173221.543774e-08
0.6099321.5172661.561377e-08
0.6113141.517211.579021e-08
0.6126981.5171541.596703e-08
0.6140851.5170981.614427e-08
0.6154761.5170421.632190e-08
0.616871.5169871.649993e-08
0.6182671.5169321.667837e-08
0.6196671.5168771.685721e-08
0.621071.5168221.703645e-08
0.6224761.5167681.721611e-08
0.6238861.5167141.739616e-08
0.6252991.516661.757663e-08
0.6267141.5166061.775751e-08
0.6281341.5165521.793879e-08
0.6295561.5164991.812049e-08
0.6309821.5164461.830259e-08
0.632411.5163931.848511e-08
0.6338431.516341.866804e-08
0.6352781.5162871.885139e-08
0.6367161.5162351.903515e-08
0.6381581.5161831.921933e-08
0.6396031.5161311.940392e-08
0.6410521.5160791.958894e-08
0.6425031.5160281.977437e-08
0.6439581.5159761.996022e-08
0.6454161.5159252.014649e-08
0.6468781.5158742.033319e-08
0.6483431.5158242.052030e-08
0.6498111.5157732.070785e-08
0.651.5157672.073200e-08
0.6512821.5157232.062951e-08
0.6527571.5156732.051165e-08
0.6542351.5156232.039351e-08
0.6557171.5155732.027511e-08
0.6572021.5155232.015644e-08
0.658691.5154742.003751e-08
0.6601811.5154241.991830e-08
0.6616761.5153751.979882e-08
0.6631751.5153271.967908e-08
0.6646761.5152781.955906e-08
0.6661821.5152291.943877e-08
0.667691.5151811.931820e-08
0.6692021.5151331.919737e-08
0.6707171.5150851.907626e-08
0.6722361.5150371.895488e-08
0.6737591.5149891.883322e-08
0.6752841.5149421.871128e-08
0.6768131.5148951.858907e-08
0.6783461.5148481.846659e-08
0.6798821.5148011.834382e-08
0.6814221.5147541.822078e-08
0.6829651.5147071.809746e-08
0.6845111.5146611.797386e-08
0.6860611.5146151.784998e-08
0.6876151.5145691.772582e-08
0.6891721.5145231.760138e-08
0.6907331.5144771.747666e-08
0.6922971.5144311.735165e-08
0.6938641.5143861.722636e-08
0.6954361.5143411.710079e-08
0.697011.5142951.697493e-08
0.6985891.514251.684879e-08
0.71.5142111.673600e-08
0.7001711.5142061.675098e-08
0.7017561.5141611.689019e-08
0.7033451.5141171.702971e-08
0.7049381.5140721.716955e-08
0.7065341.5140281.730971e-08
0.7081341.5139841.745018e-08
0.7097381.513941.759097e-08
0.7113451.5138961.773208e-08
0.7129561.5138531.787351e-08
0.714571.5138091.801526e-08
0.7161881.5137661.815733e-08
0.717811.5137231.829972e-08
0.7194351.513681.844243e-08
0.7210651.5136371.858547e-08
0.7226971.5135941.872883e-08
0.7243341.5135521.887252e-08
0.7259741.5135091.901653e-08
0.7276181.5134671.916087e-08
0.7292661.5134251.930553e-08
0.7309171.5133831.945053e-08
0.7325721.5133411.959585e-08
0.7342311.5132991.974150e-08
0.7358941.5132581.988748e-08
0.737561.5132162.003379e-08
0.739231.5131752.018043e-08
0.7409041.5131342.032740e-08
0.7425821.5130932.047471e-08
0.7442641.5130522.062235e-08
0.7459491.5130112.077032e-08
0.7476381.512972.091863e-08
0.7493311.512932.106727e-08
0.7510281.512892.121626e-08
0.7527291.5128492.136558e-08
0.7544331.5128092.151523e-08
0.7561421.5127692.166523e-08
0.7578541.5127292.181556e-08
0.759571.5126892.196624e-08
0.761291.512652.211726e-08
0.7630141.512612.226862e-08
0.7647421.5125712.242032e-08
0.7664731.5125322.257236e-08
0.7682091.5124922.272475e-08
0.7699491.5124532.287749e-08
0.7716921.5124142.303057e-08
0.773441.5123762.318400e-08
0.7751911.5123372.333777e-08
0.7769461.5122982.349189e-08
0.7787061.512262.364637e-08
0.7804691.5122222.380119e-08
0.7822361.5121832.395636e-08
0.7840081.5121452.411188e-08
0.7857831.5121072.426776e-08
0.7875631.5120692.442399e-08
0.7893461.5120312.458057e-08
0.7911331.5119942.473751e-08
0.7929251.5119562.489480e-08
0.794721.5119192.505245e-08
0.796521.5118812.521046e-08
0.7983241.5118442.536882e-08
0.81.511812.551600e-08
0.8001311.5118072.553013e-08
0.8019431.511772.572479e-08
0.8037591.5117332.591990e-08
0.8055791.5116962.611545e-08
0.8074041.5116592.631144e-08
0.8092321.5116232.650788e-08
0.8110641.5115862.670476e-08
0.8129011.511552.690208e-08
0.8147421.5115142.709986e-08
0.8165871.5114772.729808e-08
0.8184361.5114412.749675e-08
0.8202891.5114052.769587e-08
0.8221471.5113692.789544e-08
0.8240081.5113332.809546e-08
0.8258741.5112982.829594e-08
0.8277441.5112622.849687e-08
0.8296191.5112262.869825e-08
0.8314981.5111912.890009e-08
0.833381.5111552.910239e-08
0.8352681.511122.930515e-08
0.8371591.5110852.950836e-08
0.8390551.511052.971204e-08
0.8409551.5110152.991617e-08
0.8428591.510983.012077e-08
0.8447681.5109453.032584e-08
0.8466811.510913.053136e-08
0.8485981.5108763.073735e-08
0.8505191.5108413.094381e-08
0.8524451.5108073.115074e-08
0.8543761.5107723.135813e-08
0.856311.5107383.156600e-08
0.858251.5107043.177433e-08
0.8601931.5106693.198314e-08
0.8621411.5106353.219242e-08
0.8640931.5106013.240217e-08
0.866051.5105673.261240e-08
0.8680111.5105333.282310e-08
0.8699771.51053.303428e-08
0.8719471.5104663.324594e-08
0.8739211.5104323.345808e-08
0.87591.5103993.367070e-08
0.8778831.5103653.388380e-08
0.8798711.5103323.409739e-08
0.8818641.5102993.431145e-08
0.8838611.5102653.452600e-08
0.8858621.5102323.474104e-08
0.8878681.5101993.495657e-08
0.8898791.5101663.517258e-08
0.8918941.5101333.538908e-08
0.8939141.51013.560607e-08
0.8959381.5100673.582355e-08
0.8979671.5100353.604153e-08
0.91.5100023.626000e-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
—