Optical constants

Refractive index of NSL33 (OHARA)

NSL33: n,k 0.3–2.4 µm

Data
formula 3 + 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 300-900 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.51453
Extinction coefficient k
1.76522e-08
Permittivity ε1
2.29381
Permittivity ε2
5.34698e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
54.715
Chromatic dispersion dn/dλ
-0.0484109 µm⁻¹
Group index ng
1.54298
Group velocity dispersion
86.4406 fs²/mm
Dispersion parameter D
-471.579 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

# NSL33 (OHARA): NSL33
ohara_nsl33 = ls.fetch_refractiveindex("specs", "OHARA-optical", "NSL33", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_nsl33.range_nm)  # (300, 2400) nm
eps = ohara_nsl33.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=2.2582399−0.0079875836⁢λ2.0+0.012575688⁢λ−2.0+0.00022130477⁢λ−4.0+1.0685962×10-6⁢λ−6.0+3.9764383×10-7⁢λ−8.0

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C12.2582399
C2-0.0079875836
C32.0
C40.012575688
C5-2.0
C60.00022130477
C7-4.0
C81.0685962e-06
C9-6.0
C103.9764383e-07
C11-8.0

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.239e-06 0.0 0.0 0.0 0.0 0.0
nd
1.514536
Vd
54.714595
glass code
515547
glass status
preferred
density
value: 2600
thermal expansion
value: 9.1e-06, temperature range: 243 343; value: 1.07e-05, temperature range: 293 573
dPgF
-0.0021
resistance
acid: 1.0; phosphate: 1.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 5.27e-07 K⁻¹ at 633 nm, dn/dT = 5.17e-07 K⁻¹ at 1310 nm, dn/dT = 5.15e-07 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 300-900 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 420 wavelengths, the same grid as the API and the library
NSL33 (OHARA), NSL33: n and k versus wavelength
λ (µm)nk
0.31.5595198.371300e-06
0.3015681.5587777.511942e-06
0.3031431.5580476.648093e-06
0.3047271.5573295.779731e-06
0.306321.5566224.906831e-06
0.307921.5559274.029370e-06
0.3095291.5552423.147325e-06
0.311.5550442.889200e-06
0.3111471.5545682.683722e-06
0.3127721.5539042.392343e-06
0.3144071.553252.099442e-06
0.3160491.5526071.805011e-06
0.3177011.5519731.509041e-06
0.3193611.5513491.211525e-06
0.321.5511121.097000e-06
0.321031.5507341.031187e-06
0.3227071.5501299.239736e-07
0.3243931.5495328.162004e-07
0.3260881.5489447.078641e-07
0.3277921.5483655.989617e-07
0.3295051.5477954.894903e-07
0.331.5476324.578600e-07
0.3312271.5472334.247079e-07
0.3329581.5466793.779399e-07
0.3346971.5461333.309275e-07
0.3364461.5455952.836695e-07
0.3382041.5450642.361645e-07
0.3399711.5445411.884113e-07
0.341.5445331.876400e-07
0.3417481.5440261.701730e-07
0.3435341.5435181.523280e-07
0.3453291.5430171.343898e-07
0.3471331.5425231.163578e-07
0.3489471.5420369.823160e-08
0.351.5417578.770800e-08
0.350771.5415558.451137e-08
0.3526031.5410827.690483e-08
0.3544461.5406146.925854e-08
0.3562981.5401546.157229e-08
0.3581591.5396995.384589e-08
0.361.5392584.620700e-08
0.3600311.5392514.617415e-08
0.3619121.5388094.416855e-08
0.3638031.5383724.215247e-08
0.3657041.5379424.012586e-08
0.3676151.5375173.808866e-08
0.3695361.5370983.604082e-08
0.371.5369983.554600e-08
0.3714671.5366853.568696e-08
0.3734081.5362773.587349e-08
0.3753591.5358743.606099e-08
0.377321.5354773.624948e-08
0.3792921.5350853.643895e-08
0.381.5349463.650700e-08
0.3812741.5346983.423593e-08
0.3832661.5343163.068375e-08
0.3852691.5339392.711302e-08
0.3872821.5335672.352362e-08
0.3893051.5331991.991547e-08
0.391.5330751.867700e-08
0.391341.5328371.831236e-08
0.3933841.5324791.775575e-08
0.395441.5321251.719624e-08
0.3975061.5317761.663380e-08
0.3995831.5314311.606842e-08
0.41.5313631.595500e-08
0.4016711.5310911.602168e-08
0.403771.5307551.610543e-08
0.405881.5304231.618961e-08
0.4080011.5300951.627423e-08
0.4101331.5297721.635929e-08
0.4122761.5294521.644480e-08
0.414431.5291361.653075e-08
0.4165951.5288251.661715e-08
0.4187721.5285171.670401e-08
0.421.5283451.675300e-08
0.420961.5282121.696038e-08
0.423161.5279121.743539e-08
0.4253711.5276151.791288e-08
0.4275941.5273221.839287e-08
0.4298281.5270321.887536e-08
0.4320741.5267461.936037e-08
0.4343321.5264631.984792e-08
0.4366011.5261832.033802e-08
0.4388821.5259072.083067e-08
0.441.5257742.107200e-08
0.4411761.5256342.069576e-08
0.4434811.5253651.995808e-08
0.4457981.5250981.921655e-08
0.4481281.5248351.847114e-08
0.4504691.5245751.772184e-08
0.4528231.5243181.696862e-08
0.4551891.5240641.621146e-08
0.4575681.5238121.545035e-08
0.4599591.5235641.468526e-08
0.461.523561.467200e-08
0.4623621.5233191.474735e-08
0.4647781.5230761.482441e-08
0.4672061.5228371.490189e-08
0.4696481.52261.497976e-08
0.4721021.5223651.505805e-08
0.4745691.5221341.513674e-08
0.4770481.5219051.521584e-08
0.4795411.5216781.529536e-08
0.481.5216371.531000e-08
0.4820471.5214541.496666e-08
0.4845661.5212331.454413e-08
0.4870981.5210141.411939e-08
0.4896431.5207981.369243e-08
0.4922011.5205841.326325e-08
0.4947731.5203721.283182e-08
0.4973581.5201631.239813e-08
0.4999571.5199561.196218e-08
0.51.5199531.195500e-08
0.502571.5197521.201641e-08
0.5051961.5195491.207918e-08
0.5078351.5193491.214227e-08
0.5104891.5191511.220569e-08
0.5131561.5189551.226944e-08
0.5158381.5187621.233352e-08
0.5185331.518571.239794e-08
0.5212431.5183811.246270e-08
0.5239661.5181931.252779e-08
0.5267041.5180081.259323e-08
0.5294561.5178251.265900e-08
0.5322231.5176431.272512e-08
0.5350041.5174631.279159e-08
0.5377991.5172861.285840e-08
0.5406091.517111.292556e-08
0.5434341.5169361.299308e-08
0.5462741.5167641.306094e-08
0.5491281.5165941.312916e-08
0.551.5165421.315000e-08
0.5519981.5164251.338918e-08
0.5548821.5162591.373455e-08
0.5577811.5160941.408172e-08
0.5606961.515931.443071e-08
0.5636261.5157691.478152e-08
0.5665711.5156091.513416e-08
0.5695311.515451.548865e-08
0.5725071.5152941.584499e-08
0.5754981.5151381.620319e-08
0.5785061.5149851.656326e-08
0.5815281.5148331.692521e-08
0.5845671.5146821.728906e-08
0.5876221.5145331.765480e-08
0.5906921.5143861.802246e-08
0.5937791.514241.839204e-08
0.5968811.5140951.876355e-08
0.61.5139521.913700e-08
0.6031351.513811.956282e-08
0.6062871.513671.999086e-08
0.6094551.5135312.042113e-08
0.6126391.5133932.085366e-08
0.615841.5132572.128844e-08
0.6190581.5131222.172550e-08
0.6222931.5129882.216484e-08
0.6255451.5128562.260648e-08
0.6288131.5127242.305042e-08
0.6320991.5125942.349668e-08
0.6354021.5124662.394528e-08
0.6387221.5123382.439622e-08
0.6420591.5122122.484951e-08
0.6454141.5120862.530518e-08
0.6487871.5119622.576322e-08
0.651.5119182.592800e-08
0.6521771.5118392.577118e-08
0.6555851.5117182.552568e-08
0.659011.5115972.527890e-08
0.6624541.5114772.503083e-08
0.6659151.5113592.478147e-08
0.6693951.5112412.453080e-08
0.6728921.5111252.427882e-08
0.6764091.5110092.402553e-08
0.6799431.5108952.377091e-08
0.6834961.5107812.351496e-08
0.6870671.5106692.325768e-08
0.6906571.5105572.299905e-08
0.6942661.5104472.273907e-08
0.6978941.5103372.247773e-08
0.71.5102742.232600e-08
0.7015411.5102292.247366e-08
0.7052061.5101212.282502e-08
0.7088911.5100142.317821e-08
0.7125951.5099082.353325e-08
0.7163191.5098032.389015e-08
0.7200621.5096982.424891e-08
0.7238241.5095952.460954e-08
0.7276061.5094922.497206e-08
0.7314081.5093912.533648e-08
0.735231.509292.570279e-08
0.7390721.5091892.607102e-08
0.7429341.509092.644118e-08
0.7468161.5089912.681327e-08
0.7507181.5088932.718731e-08
0.7546411.5087962.756329e-08
0.7585841.50872.794125e-08
0.7625471.5086042.832118e-08
0.7665321.5085092.870309e-08
0.7705371.5084152.908700e-08
0.7745641.5083212.947291e-08
0.7786111.5082282.986084e-08
0.7826791.5081363.025080e-08
0.7867691.5080443.064280e-08
0.790881.5079533.103684e-08
0.7950121.5078623.143295e-08
0.7991671.5077733.183112e-08
0.81.5077553.191100e-08
0.8033421.5076833.228502e-08
0.807541.5075953.275474e-08
0.811761.5075073.322691e-08
0.8160011.5074193.370155e-08
0.8202651.5073323.417867e-08
0.8245511.5072463.465828e-08
0.828861.507163.514040e-08
0.8331911.5070753.562504e-08
0.8375441.506993.611221e-08
0.8419211.5069063.660192e-08
0.846321.5068223.709420e-08
0.8507421.5067393.758904e-08
0.8551871.5066563.808648e-08
0.8596561.5065733.858651e-08
0.8641481.5064913.908915e-08
0.8686631.506413.959442e-08
0.8732021.5063294.010233e-08
0.8777651.5062484.061290e-08
0.8823511.5061684.112613e-08
0.8869621.5060884.164205e-08
0.8915971.5060094.216066e-08
0.8962551.505934.268198e-08
0.91.5058674.310100e-08
0.9009391.5058510
0.9056461.5057730
0.9103781.5056950
0.9151351.5056180
0.9199171.5055410
0.9247241.5054640
0.9295561.5053870
0.9344131.5053110
0.9392951.5052350
0.9442041.505160
0.9491371.5050840
0.9540971.5050090
0.9590821.5049340
0.9640931.504860
0.9691311.5047860
0.9741951.5047120
0.9792851.5046380
0.9844021.5045640
0.9895461.5044910
0.9947171.5044180
0.9999141.5043450
1.005141.5042720
1.010391.50420
1.015671.5041280
1.020981.5040550
1.026311.5039830
1.031681.5039120
1.037071.503840
1.042491.5037680
1.047931.5036970
1.053411.5036260
1.058911.5035540
1.064451.5034830
1.070011.5034120
1.07561.5033410
1.081221.5032710
1.086871.50320
1.092551.5031290
1.098261.5030580
1.1041.5029880
1.109761.5029170
1.115561.5028470
1.121391.5027760
1.127251.5027060
1.133141.5026350
1.139061.5025650
1.145011.5024940
1.1511.5024240
1.157011.5023530
1.163061.5022830
1.169131.5022120
1.175241.5021410
1.181381.5020710
1.187561.5020
1.193761.5019290
1.21.5018580
1.206271.5017870
1.212571.5017160
1.218911.5016450
1.225281.5015740
1.231681.5015020
1.238121.5014310
1.244591.5013590
1.251091.5012870
1.257631.5012150
1.26421.5011430
1.27081.5010710
1.277441.5009980
1.284121.5009250
1.290831.5008520
1.297571.5007790
1.304351.5007060
1.311171.5006330
1.318021.5005590
1.324911.5004850
1.331831.5004110
1.338791.5003360
1.345781.5002610
1.352821.5001860
1.359891.5001110
1.366991.5000360
1.374131.499960
1.381311.4998840
1.388531.4998070
1.395791.4997310
1.403081.4996530
1.410411.4995760
1.417781.4994980
1.425191.499420
1.432641.4993420
1.440121.4992630
1.447651.4991840
1.455211.4991040
1.462821.4990240
1.470461.4989440
1.478141.4988630
1.485871.4987820
1.493631.49870
1.501441.4986180
1.509281.4985350
1.517171.4984520
1.525091.4983690
1.533061.4982850
1.541071.49820
1.549131.4981160
1.557221.498030
1.565361.4979440
1.573541.4978580
1.581761.4977710
1.590021.4976830
1.598331.4975950
1.606681.4975060
1.615081.4974170
1.623521.4973270
1.6321.4972370
1.640531.4971460
1.64911.4970540
1.657721.4969620
1.666381.4968690
1.675091.4967760
1.683841.4966810
1.692641.4965870
1.701481.4964910
1.710371.4963950
1.719311.4962980
1.72831.49620
1.737331.4961020
1.74641.4960030
1.755531.4959030
1.76471.4958030
1.773921.4957020
1.783191.49560
1.792511.4954970
1.801881.4953930
1.811291.4952890
1.820761.4951830
1.830271.4950770
1.839831.494970
1.849451.4948630
1.859111.4947540
1.868831.4946440
1.878591.4945340
1.888411.4944230
1.898271.4943110
1.908191.4941970
1.918161.4940830
1.928191.4939680
1.938261.4938520
1.948391.4937350
1.958571.4936170
1.96881.4934980
1.979091.4933780
1.989431.4932570
1.999831.4931350
2.010281.4930120
2.020781.4928880
2.031341.4927630
2.041961.4926370
2.052631.4925090
2.063351.492380
2.074131.4922510
2.084971.492120
2.095861.4919880
2.106821.4918550
2.117821.491720
2.128891.4915840
2.140011.4914480
2.15121.491310
2.162441.491170
2.173741.4910290
2.18511.4908880
2.196511.4907440
2.207991.49060
2.219531.4904540
2.231121.4903070
2.242781.4901580
2.25451.4900080
2.266281.4898560
2.278121.4897040
2.290031.4895490
2.301991.4893940
2.314021.4892360
2.326111.4890780
2.338271.4889170
2.350491.4887560
2.362771.4885920
2.375111.4884280
2.387521.4882610
2.41.4880930

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
—