Optical constants

Refractive index of S-LAL52 (OHARA)

S-LAL52: n,k 0.28–2.4 µm

Data
formula 3 + tabulated k
Range
0.28–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength. Note: k data cover 280-700 nm only; k = 0 elsewhere in the n range 280-2400 nm.

At one wavelength

Range 0.28–2.4 µm
Refractive index n
1.67
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.78889
Permittivity ε2
4.32880e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
57.328
Chromatic dispersion dn/dλ
-0.0603496 µm⁻¹
Group index ng
1.70546
Group velocity dispersion
106.083 fs²/mm
Dispersion parameter D
-578.741 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-LAL52 (OHARA): S-LAL52
ohara_s_lal52 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-LAL52", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_lal52.range_nm)  # (280, 2400) nm
eps = ohara_s_lal52.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=2.7418702−0.012719153⁢λ2.0+0.016306977⁢λ−2.0+0.00061414226⁢λ−4.0−4.8242632×10-5⁢λ−6.0+2.8875864×10-6⁢λ−8.0

Valid from 0.28 to 2.4 µm.

Coefficients as stored
CiValue
C12.7418702
C2-0.012719153
C32.0
C40.016306977
C5-2.0
C60.00061414226
C7-4.0
C8-4.8242632e-05
C9-6.0
C102.8875864e-06
C11-8.0

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -4.1e-06 1.15e-08 3.8e-11 2.44e-07 2.82e-10 0.299
nd
1.669999
Vd
57.327972
glass code
670573
glass status
special
density
value: 3960
thermal expansion
value: 7.4e-06, temperature range: 243 343; value: 8.9e-06, temperature range: 293 573
dPgF
-0.0049
resistance
acid: 53.2; climatic: 4.0; phosphate: 4.1

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -1.77e-06 K⁻¹ at 633 nm, dn/dT = -2.07e-06 K⁻¹ at 1310 nm, dn/dT = -2.08e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 280-700 nm only; k = 0 elsewhere in the n range 280-2400 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 421 wavelengths, the same grid as the API and the library
S-LAL52 (OHARA), S-LAL52: n and k versus wavelength
λ (µm)nk
0.281.7392838.716600e-06
0.2815121.7380168.202185e-06
0.2830321.7367777.684993e-06
0.284561.7355677.165009e-06
0.2860961.7343836.642217e-06
0.2876411.7332256.116602e-06
0.2891941.7320935.588150e-06
0.291.7315175.313800e-06
0.2907551.7309855.193885e-06
0.2923251.72994.944600e-06
0.2939031.7288384.693969e-06
0.295491.7277984.441984e-06
0.2970851.7267794.188639e-06
0.2986891.7257813.933926e-06
0.31.7249843.725800e-06
0.3003021.7248023.693649e-06
0.3019231.7238433.521057e-06
0.3035531.7229033.347532e-06
0.3051921.721983.173070e-06
0.306841.7210752.997667e-06
0.3084971.7201872.821316e-06
0.311.7193992.661300e-06
0.3101621.7193152.647581e-06
0.3118371.718462.506112e-06
0.3135211.7176192.363879e-06
0.3152131.7167942.220878e-06
0.3169151.7159832.077105e-06
0.3186261.7151871.932556e-06
0.321.7145611.816500e-06
0.3203471.7144041.795598e-06
0.3220761.7136351.691270e-06
0.3238151.7128791.586379e-06
0.3255631.7121351.480921e-06
0.3273211.7114031.374895e-06
0.3290881.7106841.268295e-06
0.331.7103191.213300e-06
0.3308651.7099761.175676e-06
0.3326511.709281.097980e-06
0.3344471.7085941.019864e-06
0.3362531.707929.413267e-07
0.3380691.7072568.623654e-07
0.3398941.7066027.829777e-07
0.341.7065647.783600e-07
0.3417291.7059587.277452e-07
0.3435741.7053246.737323e-07
0.3454291.7046996.194278e-07
0.3472941.7040845.648300e-07
0.3491691.7034785.099375e-07
0.351.7032134.856100e-07
0.3510541.7028814.638969e-07
0.352951.7022924.248580e-07
0.3548551.7017123.856084e-07
0.3567711.701143.461469e-07
0.3586971.7005763.064723e-07
0.361.7002012.796400e-07
0.3606341.7000212.728674e-07
0.3625811.6994732.520647e-07
0.3645391.6989322.311497e-07
0.3665071.6983992.101217e-07
0.3684861.6978741.889803e-07
0.371.6974781.728000e-07
0.3704751.6973551.698581e-07
0.3724751.6968441.574707e-07
0.3744861.6963391.450165e-07
0.3765081.6958411.324950e-07
0.3785411.695351.199059e-07
0.381.6950031.108700e-07
0.3805851.6948651.091678e-07
0.382641.6943871.031861e-07
0.3847051.6939159.717205e-08
0.3867821.6934499.112555e-08
0.3888711.6929898.504640e-08
0.391.6927438.175900e-08
0.390971.6925347.975072e-08
0.3930811.6920867.538163e-08
0.3952031.6916437.098895e-08
0.3973371.6912066.657255e-08
0.3994821.6907756.213231e-08
0.41.6906726.106100e-08
0.4016391.6903495.991853e-08
0.4038081.6899285.840721e-08
0.4059881.6895135.688773e-08
0.408181.6891025.536004e-08
0.4103841.6886975.382411e-08
0.4125991.6882965.227989e-08
0.4148271.6879015.072732e-08
0.4170671.687514.916638e-08
0.4193181.6871254.759701e-08
0.421.6870094.712200e-08
0.4215821.6867434.645795e-08
0.4238591.6863674.550277e-08
0.4261471.6859954.454242e-08
0.4284481.6856274.357689e-08
0.4307611.6852644.260615e-08
0.4330871.6849054.163017e-08
0.4354251.684554.064891e-08
0.4377761.68423.966236e-08
0.441.6838743.872900e-08
0.4401391.6838533.866397e-08
0.4425161.6835113.755576e-08
0.4449051.6831733.644157e-08
0.4473071.6828393.532137e-08
0.4497221.6825083.419511e-08
0.452151.6821823.306278e-08
0.4545911.6818593.192433e-08
0.4570461.681543.077973e-08
0.4595131.6812242.962896e-08
0.461.6811632.940200e-08
0.4619941.6809132.876233e-08
0.4644891.6806052.796228e-08
0.4669961.68032.715790e-08
0.4695181.6799992.634917e-08
0.4720531.6797012.553609e-08
0.4746011.6794072.471861e-08
0.4771641.6791162.389672e-08
0.479741.6788282.307039e-08
0.481.6787992.298700e-08
0.482331.6785432.216678e-08
0.4849341.6782622.125012e-08
0.4875531.6779842.032852e-08
0.4901851.6777091.940194e-08
0.4928311.6774371.847036e-08
0.4954921.6771681.753374e-08
0.4981671.6769021.659207e-08
0.51.6767221.594700e-08
0.5008571.6766391.582385e-08
0.5035611.6763781.543528e-08
0.506281.6761211.504461e-08
0.5090131.6758671.465183e-08
0.5117621.6756151.425693e-08
0.5145251.6753661.385990e-08
0.5173031.675121.346072e-08
0.5200961.6748761.305939e-08
0.5229041.6746351.265589e-08
0.5257271.6743971.225022e-08
0.5285651.6741611.184235e-08
0.5314191.6739281.143228e-08
0.5342881.6736971.102000e-08
0.5371731.6734691.060549e-08
0.5400731.6732431.018874e-08
0.5429891.6730199.769749e-09
0.5459211.6727989.348490e-09
0.5488681.6725798.924957e-09
0.551.6724968.762300e-09
0.5518311.6723638.966784e-09
0.5548111.6721499.299443e-09
0.5578061.6719379.633898e-09
0.5608181.6717279.970160e-09
0.5638461.6715191.030824e-08
0.566891.6713141.064814e-08
0.5699511.671111.098988e-08
0.5730281.6709091.133346e-08
0.5761221.670711.167889e-08
0.5792321.6705131.202620e-08
0.582361.6703181.237537e-08
0.5855041.6701241.272644e-08
0.5886651.6699331.307939e-08
0.5918431.6697441.343426e-08
0.5950391.6695561.379104e-08
0.5982511.6693711.414974e-08
0.61.6692711.434500e-08
0.6014811.6691871.438043e-08
0.6047291.6690051.445811e-08
0.6079941.6688251.453621e-08
0.6112761.6686461.461473e-08
0.6145771.668471.469367e-08
0.6178951.6682951.477304e-08
0.6212311.6681221.485284e-08
0.6245851.667951.493307e-08
0.6279571.667781.501373e-08
0.6313471.6676121.509483e-08
0.6347561.6674451.517637e-08
0.6381831.667281.525834e-08
0.6416291.6671161.534076e-08
0.6450931.6669541.542362e-08
0.6485761.6667941.550693e-08
0.651.6667291.554100e-08
0.6520781.6666341.535863e-08
0.6555981.6664771.504959e-08
0.6591381.6663211.473888e-08
0.6626971.6661661.442650e-08
0.6662741.6660121.411243e-08
0.6698721.665861.379666e-08
0.6734881.665711.347918e-08
0.6771251.665561.316000e-08
0.680781.6654121.283909e-08
0.6844561.6652651.251645e-08
0.6881521.665121.219206e-08
0.6918671.6649761.186593e-08
0.6956021.6648331.153803e-08
0.6993581.6646911.120836e-08
0.71.6646671.115200e-08
0.7031341.664550
0.706931.6644110
0.7107471.6642720
0.7145841.6641350
0.7184421.6639990
0.7223211.6638640
0.7262211.663730
0.7301421.6635970
0.7340841.6634660
0.7380471.6633350
0.7420321.6632050
0.7460391.6630760
0.7500661.6629480
0.7541161.6628220
0.7581881.6626960
0.7622811.6625710
0.7663971.6624470
0.7705351.6623230
0.7746951.6622010
0.7788771.662080
0.7830831.6619590
0.787311.6618390
0.7915611.661720
0.7958351.6616020
0.8001321.6614840
0.8044521.6613680
0.8087951.6612520
0.8131621.6611360
0.8175521.6610220
0.8219661.6609080
0.8264041.6607950
0.8308661.6606820
0.8353521.6605710
0.8398621.6604590
0.8443961.6603490
0.8489551.6602390
0.8535391.660130
0.8581471.6600210
0.862781.6599120
0.8674381.6598050
0.8721221.6596980
0.876831.6595910
0.8815651.6594850
0.8863241.6593790
0.8911091.6592740
0.8959211.659170
0.9007581.6590650
0.9056211.6589620
0.9105111.6588580
0.9154261.6587550
0.9203691.6586530
0.9253381.6585510
0.9303341.6584490
0.9353571.6583470
0.9404071.6582460
0.9454841.6581460
0.9505891.6580450
0.9557211.6579450
0.9608811.6578450
0.9660691.6577460
0.9712851.6576470
0.9765291.6575480
0.9818011.6574490
0.9871021.6573510
0.9924321.6572520
0.997791.6571540
1.003181.6570560
1.008591.6569590
1.014041.6568610
1.019511.6567640
1.025021.6566670
1.030551.656570
1.036121.6564730
1.041711.6563760
1.047331.6562790
1.052991.6561830
1.058671.6560860
1.064391.6559890
1.070141.6558930
1.075911.6557970
1.081721.65570
1.087561.6556040
1.093441.6555080
1.099341.6554110
1.105271.6553150
1.111241.6552180
1.117241.6551220
1.123271.6550250
1.129341.6549290
1.135441.6548320
1.141571.6547350
1.147731.6546380
1.153931.6545420
1.160161.6544440
1.166421.6543470
1.172721.654250
1.179051.6541520
1.185421.6540540
1.191821.6539570
1.198251.6538580
1.204721.653760
1.211221.6536620
1.217761.6535630
1.224341.6534640
1.230951.6533640
1.237591.6532650
1.244281.6531650
1.250991.6530650
1.257751.6529640
1.264541.6528640
1.271371.6527630
1.278231.6526610
1.285131.6525590
1.292071.6524570
1.299051.6523550
1.306061.6522520
1.313111.6521480
1.32021.6520450
1.327331.651940
1.33451.6518360
1.34171.6517310
1.348941.6516250
1.356231.6515190
1.363551.6514120
1.370911.6513050
1.378311.6511980
1.385751.651090
1.393241.6509810
1.400761.6508720
1.408321.6507620
1.415931.6506520
1.423571.6505410
1.431261.6504290
1.438981.6503170
1.446751.6502040
1.454561.6500910
1.462421.6499770
1.470311.6498620
1.478251.6497460
1.486231.649630
1.494261.6495130
1.502321.6493950
1.510431.6492770
1.518591.6491580
1.526791.6490380
1.535031.6489170
1.543321.6487950
1.551651.6486730
1.560031.648550
1.568451.6484260
1.576921.6483010
1.585431.6481750
1.593991.6480480
1.60261.6479210
1.611251.6477920
1.619951.6476630
1.62871.6475320
1.637491.6474010
1.646331.6472690
1.655221.6471350
1.664161.6470010
1.673141.6468650
1.682181.6467290
1.691261.6465910
1.700391.6464530
1.709571.6463130
1.71881.6461720
1.728081.646030
1.737411.6458870
1.746791.6457430
1.756221.6455970
1.76571.6454510
1.775241.6453030
1.784821.6451540
1.794461.6450030
1.804151.6448520
1.813891.6446990
1.823681.6445440
1.833531.6443890
1.843431.6442320
1.853381.6440740
1.863391.6439140
1.873451.6437530
1.883561.643590
1.893731.6434260
1.903951.6432610
1.914231.6430940
1.924571.6429260
1.934961.6427560
1.945411.6425850
1.955911.6424120
1.966471.6422370
1.977091.6420610
1.987761.6418830
1.998491.6417040
2.009281.6415230
2.020131.641340
2.031041.6411550
2.042011.6409690
2.053031.6407810
2.064111.6405910
2.075261.64040
2.086461.6402060
2.097731.6400110
2.109051.6398140
2.120441.6396150
2.131891.6394140
2.14341.6392120
2.154971.6390070
2.166611.63880
2.17831.6385910
2.190071.638380
2.201891.6381680
2.213781.6379530
2.225731.6377350
2.237751.6375160
2.249831.6372950
2.261981.6370710
2.274191.6368450
2.286471.6366170
2.298811.6363870
2.311221.6361550
2.32371.635920
2.336251.6356820
2.348861.6354430
2.361541.63520
2.374291.6349560
2.387111.6347090
2.41.6344590

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
—