Optical constants

Refractive index of LAL58 (OHARA)

LAL58: 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 330-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.69349
Extinction coefficient k
8.27428e-09
Permittivity ε1
2.86792
Permittivity ε2
2.80249e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
50.808
Chromatic dispersion dn/dλ
-0.0700818 µm⁻¹
Group index ng
1.73467
Group velocity dispersion
127.771 fs²/mm
Dispersion parameter D
-697.061 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

# LAL58 (OHARA): LAL58
ohara_lal58 = ls.fetch_refractiveindex("specs", "OHARA-optical", "LAL58", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_lal58.range_nm)  # (300, 2400) nm
eps = ohara_lal58.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=1.53415λ2λ2−0.008014497+0.2744946λ2λ2−0.03023701+1.210527λ2λ2−118.7442

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.53415
C30.008014497
C40.2744946
C50.03023701
C61.210527
C7118.7442

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -1.2389e-06 0.0 0.0 0.0 0.0 0.0
nd
1.693495
Vd
50.807634
glass code
694508
glass status
preferred
density
value: 4110
thermal expansion
value: 7.8e-06, temperature range: 243 343; value: 9.1e-06, temperature range: 293 573
dPgF
-0.0036
resistance
acid: 53.2; phosphate: 4.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -6.81e-07 K⁻¹ at 633 nm, dn/dT = -6.67e-07 K⁻¹ at 1310 nm, dn/dT = -6.64e-07 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 330-2400 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 423 wavelengths, the same grid as the API and the library
LAL58 (OHARA), LAL58: n and k versus wavelength
λ (µm)nk
0.31.7597090
0.3015681.7586090
0.3031431.7575260
0.3047271.7564610
0.306321.7554130
0.307921.7543820
0.3095291.7533670
0.3111471.7523680
0.3127721.7513840
0.3144071.7504160
0.3160491.7494630
0.3177011.7485250
0.3193611.7476010
0.321031.7466910
0.3227071.7457950
0.3243931.7449130
0.3260881.7440430
0.3277921.7431870
0.3295051.7423430
0.331.7421021.027300e-05
0.3312271.7415129.500499e-06
0.3329581.7406938.410722e-06
0.3346971.7398867.315251e-06
0.3364461.739096.214055e-06
0.3382041.7383065.107106e-06
0.3399711.7375343.994372e-06
0.341.7375213.976400e-06
0.3417481.7367723.572410e-06
0.3435341.7360223.159678e-06
0.3453291.7352822.744790e-06
0.3471331.7345522.327733e-06
0.3489471.7338331.908498e-06
0.351.7334221.665100e-06
0.350771.7331241.594518e-06
0.3526031.7324251.426564e-06
0.3544461.7317351.257732e-06
0.3562981.7310551.088019e-06
0.3581591.7303849.174181e-07
0.361.7297347.487500e-07
0.3600311.7297237.477062e-07
0.3619121.7290716.839865e-07
0.3638031.7284276.199339e-07
0.3657041.7277925.555466e-07
0.3676151.7271664.908228e-07
0.3695361.7265484.257608e-07
0.371.7264014.100400e-07
0.3714671.7259393.806561e-07
0.3734081.7253383.417720e-07
0.3753591.7247443.026847e-07
0.377321.7241592.633932e-07
0.3792921.7235812.238964e-07
0.381.7233762.097100e-07
0.3812741.7230111.995481e-07
0.3832661.7224481.836540e-07
0.3852691.7218931.676768e-07
0.3872821.7213451.516161e-07
0.3893051.7208041.354715e-07
0.391.720621.299300e-07
0.391341.720271.241958e-07
0.3933841.7197431.154428e-07
0.395441.7192231.066442e-07
0.3975061.7187099.779950e-08
0.3995831.7182028.890863e-08
0.41.7181018.712500e-08
0.4016711.7177018.378229e-08
0.403771.7172077.958432e-08
0.405881.7167197.536441e-08
0.4080011.7162377.112246e-08
0.4101331.7157616.685834e-08
0.4122761.7152926.257194e-08
0.414431.7148285.826314e-08
0.4165951.7143695.393183e-08
0.4187721.7139174.957788e-08
0.421.7136654.712200e-08
0.420961.713474.654906e-08
0.423161.7130294.523677e-08
0.4253711.7125934.391762e-08
0.4275941.7121624.259158e-08
0.4298281.7117374.125861e-08
0.4320741.7113173.991867e-08
0.4343321.7109023.857174e-08
0.4366011.7104923.721776e-08
0.4388821.7100873.585671e-08
0.441.7098913.519000e-08
0.4411761.7096863.463293e-08
0.4434811.7092913.354071e-08
0.4457981.7089013.244277e-08
0.4481281.7085153.133910e-08
0.4504691.7081333.022966e-08
0.4528231.7077562.911443e-08
0.4551891.7073842.799337e-08
0.4575681.7070162.686645e-08
0.4599591.7066532.573364e-08
0.461.7066462.571400e-08
0.4623621.7062932.493834e-08
0.4647781.7059382.414494e-08
0.4672061.7055872.334740e-08
0.4696481.7052412.254568e-08
0.4721021.7048982.173978e-08
0.4745691.7045592.092967e-08
0.4770481.7042242.011533e-08
0.4795411.7038931.929673e-08
0.481.7038331.914600e-08
0.4820471.7035661.841010e-08
0.4845661.7032421.750446e-08
0.4870981.7029231.659409e-08
0.4896431.7026061.567896e-08
0.4922011.7022941.475905e-08
0.4947731.7019851.383434e-08
0.4973581.701681.290479e-08
0.4999571.7013781.197039e-08
0.51.7013731.195500e-08
0.502571.7010791.156565e-08
0.5051961.7007841.116776e-08
0.5078351.7004921.076778e-08
0.5104891.7002031.036571e-08
0.5131561.6999189.961543e-09
0.5158381.6996359.555262e-09
0.5185331.6993569.146859e-09
0.5212431.699088.736322e-09
0.5239661.6988078.323640e-09
0.5267041.6985377.908801e-09
0.5294561.698277.491795e-09
0.5322231.6980067.072609e-09
0.5350041.6977446.651234e-09
0.5377991.6974866.227656e-09
0.5406091.697235.801866e-09
0.5434341.6969775.373850e-09
0.5462741.6967274.943598e-09
0.5491281.696484.511098e-09
0.551.6964054.379000e-09
0.5519981.6962354.585938e-09
0.5548821.6959934.884747e-09
0.5577811.6957535.185118e-09
0.5606961.6955165.487059e-09
0.5636261.6952815.790577e-09
0.5665711.6950496.095681e-09
0.5695311.694826.402379e-09
0.5725071.6945926.710680e-09
0.5754981.6943687.020592e-09
0.5785061.6941457.332123e-09
0.5815281.6939257.645282e-09
0.5845671.6937077.960077e-09
0.5876221.6934918.276518e-09
0.5906921.6932788.594611e-09
0.5937791.6930668.914367e-09
0.5968811.6928579.235794e-09
0.61.692659.558900e-09
0.6031351.6924459.608818e-09
0.6062871.6922429.658996e-09
0.6094551.6920429.709437e-09
0.6126391.6918439.760141e-09
0.615841.6916469.811111e-09
0.6190581.6914519.862346e-09
0.6222931.6912589.913850e-09
0.6255451.6910679.965622e-09
0.6288131.6908781.001766e-08
0.6320991.6906911.006998e-08
0.6354021.6905051.012257e-08
0.6387221.6903221.017543e-08
0.6420591.690141.022857e-08
0.6454141.6899591.028199e-08
0.6487871.6897811.033568e-08
0.651.6897181.035500e-08
0.6521771.6896041.014681e-08
0.6555851.6894299.820908e-09
0.659011.6892569.493298e-09
0.6624541.6890849.163977e-09
0.6659151.6889148.832935e-09
0.6693951.6887468.500164e-09
0.6728921.6885798.165653e-09
0.6764091.6884137.829395e-09
0.6799431.6882497.491379e-09
0.6834961.6880877.151598e-09
0.6870671.6879266.810041e-09
0.6906571.6877676.466699e-09
0.6942661.6876096.121563e-09
0.6978941.6874525.774624e-09
0.71.6873625.573200e-09
0.7015411.6872975.585466e-09
0.7052061.6871435.614652e-09
0.7088911.6869915.643991e-09
0.7125951.686845.673483e-09
0.7163191.686695.703129e-09
0.7200621.6865415.732931e-09
0.7238241.6863945.762888e-09
0.7276061.6862485.793001e-09
0.7314081.6861035.823272e-09
0.735231.685965.853701e-09
0.7390721.6858185.884289e-09
0.7429341.6856765.915037e-09
0.7468161.6855365.945945e-09
0.7507181.6853985.977015e-09
0.7546411.685266.008248e-09
0.7585841.6851246.039643e-09
0.7625471.6849886.071203e-09
0.7665321.6848546.102928e-09
0.7705371.6847216.134818e-09
0.7745641.6845886.166875e-09
0.7786111.6844576.199099e-09
0.7826791.6843276.231492e-09
0.7867691.6841986.264054e-09
0.790881.684076.296786e-09
0.7950121.6839426.329689e-09
0.7991671.6838166.362765e-09
0.81.6837916.369400e-09
0.8033421.6836916.635747e-09
0.807541.6835666.970242e-09
0.811761.6834437.306484e-09
0.8160011.683327.644483e-09
0.8202651.6831987.984248e-09
0.8245511.6830788.325789e-09
0.828861.6829578.669114e-09
0.8331911.6828389.014233e-09
0.8375441.682729.361155e-09
0.8419211.6826029.709891e-09
0.846321.6824861.006045e-08
0.8507421.682371.041284e-08
0.8551871.6822541.076707e-08
0.8596561.682141.112315e-08
0.8641481.6820261.148109e-08
0.8686631.6819131.184090e-08
0.8732021.6818011.220260e-08
0.8777651.6816891.256618e-08
0.8823511.6815781.293166e-08
0.8869621.6814681.329905e-08
0.8915971.6813581.366836e-08
0.8962551.6812491.403961e-08
0.91.6811621.433800e-08
0.9009391.681141.435295e-08
0.9056461.6810331.442794e-08
0.9103781.6809251.450333e-08
0.9151351.6808191.457911e-08
0.9199171.6807131.465528e-08
0.9247241.6806071.473185e-08
0.9295561.6805021.480882e-08
0.9344131.6803981.488620e-08
0.9392951.6802941.496398e-08
0.9442041.6801911.504216e-08
0.9491371.6800881.512076e-08
0.9540971.6799851.519976e-08
0.9590821.6798831.527918e-08
0.9640931.6797821.535901e-08
0.9691311.6796811.543926e-08
0.9741951.679581.551993e-08
0.9792851.679481.560102e-08
0.9844021.6793811.568253e-08
0.9895461.6792811.576447e-08
0.9947171.6791821.584684e-08
0.9999141.6790841.592964e-08
11.6790821.593100e-08
1.005141.6789861.601289e-08
1.010391.6788881.609659e-08
1.015671.678791.618071e-08
1.020981.6786931.626528e-08
1.026311.6785961.635029e-08
1.031681.67851.643575e-08
1.037071.6784041.652165e-08
1.042491.6783081.660800e-08
1.047931.6782121.669480e-08
1.053411.6781171.678206e-08
1.058911.6780221.686977e-08
1.064451.6779271.695794e-08
1.070011.6778321.704657e-08
1.07561.6777381.713566e-08
1.081221.6776431.722522e-08
1.086871.6775491.731525e-08
1.092551.6774551.740575e-08
1.098261.6773621.749672e-08
1.1041.6772681.758816e-08
1.109761.6771751.768008e-08
1.115561.6770821.777249e-08
1.121391.6769891.786537e-08
1.127251.6768961.795875e-08
1.133141.6768031.805260e-08
1.139061.676711.814695e-08
1.145011.6766171.824180e-08
1.1511.6765251.833714e-08
1.157011.6764321.843297e-08
1.163061.676341.852931e-08
1.169131.6762481.862615e-08
1.175241.6761551.872350e-08
1.181381.6760631.882135e-08
1.187561.675971.891972e-08
1.193761.6758781.901860e-08
1.21.6757861.911800e-08
1.21.6757861.911800e-08
1.206271.6756931.991856e-08
1.212571.6756012.072330e-08
1.218911.6755092.153225e-08
1.225281.6754162.234542e-08
1.231681.6753242.316284e-08
1.238121.6752312.398454e-08
1.244591.6751382.481052e-08
1.251091.6750462.564083e-08
1.257631.6749532.647547e-08
1.26421.674862.731447e-08
1.27081.6747672.815786e-08
1.277441.6746732.900565e-08
1.284121.674582.985788e-08
1.290831.6744863.071455e-08
1.297571.6743933.157571e-08
1.304351.6742993.244136e-08
1.311171.6742053.331154e-08
1.318021.674113.418626e-08
1.324911.6740163.506555e-08
1.331831.6739213.594944e-08
1.338791.6738263.683795e-08
1.345781.6737313.773110e-08
1.352821.6736353.862892e-08
1.359891.6735393.953142e-08
1.366991.6734434.043865e-08
1.374131.6733474.135061e-08
1.381311.673254.226734e-08
1.388531.6731534.318886e-08
1.395791.6730564.411519e-08
1.41.6734.465300e-08
1.403081.6729594.494830e-08
1.410411.6728614.565098e-08
1.417781.6727624.635733e-08
1.425191.6726634.706738e-08
1.432641.6725644.778113e-08
1.440121.6724654.849861e-08
1.447651.6723654.921985e-08
1.455211.6722654.994485e-08
1.462821.6721645.067364e-08
1.470461.6720635.140623e-08
1.478141.6719615.214266e-08
1.485871.6718595.288293e-08
1.493631.6717565.362707e-08
1.501441.6716535.437510e-08
1.509281.6715495.512704e-08
1.517171.6714455.588291e-08
1.525091.6713415.664273e-08
1.533061.6712355.740651e-08
1.541071.671135.817429e-08
1.549131.6710235.894608e-08
1.557221.6709165.972190e-08
1.565361.6708096.050178e-08
1.573541.6707016.128573e-08
1.581761.6705926.207378e-08
1.590021.6704836.286595e-08
1.598331.6703736.366225e-08
1.61.670356.382200e-08
1.606681.6702626.795355e-08
1.615081.6701517.314219e-08
1.623521.6700387.835794e-08
1.6321.6699268.360094e-08
1.640531.6698128.887134e-08
1.64911.6696989.416927e-08
1.657721.6695839.949489e-08
1.666381.6694671.048483e-07
1.675091.6693511.102298e-07
1.683841.6692341.156393e-07
1.692641.6691161.210771e-07
1.701481.6689971.265433e-07
1.710371.6688771.320381e-07
1.719311.6687561.375616e-07
1.72831.6686351.431140e-07
1.737331.6685131.486953e-07
1.74641.6683891.543059e-07
1.755531.6682651.599457e-07
1.76471.668141.656150e-07
1.773921.6680141.713140e-07
1.783191.6678871.770427e-07
1.792511.667761.828013e-07
1.81.6676571.874300e-07
1.801881.6676312.001760e-07
1.811291.6675012.641097e-07
1.820761.667373.283774e-07
1.830271.6672383.929810e-07
1.839831.6671054.579221e-07
1.849451.6669715.232026e-07
1.859111.6668365.888242e-07
1.868831.66676.547886e-07
1.878591.6665627.210978e-07
1.888411.6664247.877534e-07
1.898271.6662848.547573e-07
1.908191.6661439.221113e-07
1.918161.6660019.898173e-07
1.928191.6658581.057877e-06
1.938261.6657131.126292e-06
1.948391.6655681.195065e-06
1.958571.6654211.264197e-06
1.96881.6652721.333691e-06
1.979091.6651231.403547e-06
1.989431.6649721.473769e-06
1.999831.664821.544358e-06
2.010281.6646661.615315e-06
2.020781.6645111.686643e-06
2.031341.6643551.758344e-06
2.041961.6641971.830419e-06
2.052631.6640371.902871e-06
2.063351.6638771.975702e-06
2.074131.6637142.048913e-06
2.084971.6635512.122507e-06
2.095861.6633852.196485e-06
2.106821.6632182.270850e-06
2.117821.663052.345604e-06
2.128891.662882.420748e-06
2.140011.6627082.496284e-06
2.15121.6625352.572216e-06
2.162441.662362.648544e-06
2.173741.6621832.725271e-06
2.18511.6620052.802399e-06
2.196511.6618252.879930e-06
2.207991.6616432.957866e-06
2.219531.6614593.036209e-06
2.231121.6612733.114962e-06
2.242781.6610863.194126e-06
2.25451.6608963.273704e-06
2.266281.6607053.353697e-06
2.278121.6605123.434109e-06
2.290031.6603173.514941e-06
2.301991.660123.596195e-06
2.314021.6599213.677873e-06
2.326111.659723.759979e-06
2.338271.6595163.842513e-06
2.350491.6593113.925479e-06
2.362771.6591044.008878e-06
2.375111.6588944.092713e-06
2.387521.6586824.176987e-06
2.41.6584684.261700e-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
—