Optical constants

Refractive index of LAM58 (OHARA)

LAM58: 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 350-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.72
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.95839
Permittivity ε2
3.22030e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
41.99
Chromatic dispersion dn/dλ
-0.0873593 µm⁻¹
Group index ng
1.77133
Group velocity dispersion
166.399 fs²/mm
Dispersion parameter D
-907.797 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

# LAM58 (OHARA): LAM58
ohara_lam58 = ls.fetch_refractiveindex("specs", "OHARA-optical", "LAM58", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_lam58.range_nm)  # (300, 2400) nm
eps = ohara_lam58.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=1.704423λ2λ2−0.01024939+0.1778568λ2λ2−0.04576819+1.425726λ2λ2−153.5267

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.704423
C30.01024939
C40.1778568
C50.04576819
C61.425726
C7153.5267

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 7.5415e-06 0.0 0.0 0.0 0.0 0.0
nd
1.720000
Vd
41.989859
glass code
720420
glass status
preferred
density
value: 4260
thermal expansion
value: 6.6e-06, temperature range: 243 343; value: 7.7e-06, temperature range: 293 573
dPgF
-0.0009
resistance
acid: 5.2; phosphate: 1.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 4.28e-06 K⁻¹ at 633 nm, dn/dT = 4.18e-06 K⁻¹ at 1310 nm, dn/dT = 4.16e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 350-2400 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 421 wavelengths, the same grid as the API and the library
LAM58 (OHARA), LAM58: n and k versus wavelength
λ (µm)nk
0.31.8123260
0.3015681.8105570
0.3031431.8088280
0.3047271.8071380
0.306321.8054860
0.307921.8038690
0.3095291.8022880
0.3111471.800740
0.3127721.7992250
0.3144071.7977410
0.3160491.7962880
0.3177011.7948650
0.3193611.7934690
0.321031.7921020
0.3227071.7907610
0.3243931.7894470
0.3260881.7881570
0.3277921.7868920
0.3295051.7856510
0.3312271.7844330
0.3329581.7832380
0.3346971.7820640
0.3364461.7809110
0.3382041.7797790
0.3399711.7786670
0.3417481.7775750
0.3435341.7765020
0.3453291.7754470
0.3471331.774410
0.3489471.7733910
0.351.772817.835900e-06
0.350771.7723897.476977e-06
0.3526031.7714046.622902e-06
0.3544461.7704365.764364e-06
0.3562981.7694834.901340e-06
0.3581591.7685464.033807e-06
0.361.7676393.176100e-06
0.3600311.7676243.170798e-06
0.3619121.7667162.847091e-06
0.3638031.7658242.521694e-06
0.3657041.7649452.194596e-06
0.3676151.7640811.865789e-06
0.3695361.763231.535264e-06
0.371.7630271.455400e-06
0.3714671.7623921.346479e-06
0.3734081.7615671.202342e-06
0.3753591.7607551.057452e-06
0.377321.7599559.118048e-07
0.3792921.7591687.653966e-07
0.381.7588897.128100e-07
0.3812741.7583926.725497e-07
0.3832661.7576286.095788e-07
0.3852691.7568765.462788e-07
0.3872821.7561344.826481e-07
0.3893051.7554044.186850e-07
0.391.7551563.967300e-07
0.391341.7546843.736123e-07
0.3933841.7539753.383245e-07
0.395441.7532763.028523e-07
0.3975061.7525872.671947e-07
0.3995831.7519082.313508e-07
0.41.7517732.241600e-07
0.4016711.7512382.136479e-07
0.403771.7505792.004461e-07
0.405881.7499281.871754e-07
0.4080011.7492871.738354e-07
0.4101331.7486541.604256e-07
0.4122761.7480311.469458e-07
0.414431.7474161.333955e-07
0.4165951.746811.197745e-07
0.4187721.7462121.060822e-07
0.421.7458799.835900e-08
0.420961.7456229.686126e-08
0.423161.745049.343074e-08
0.4253711.7444668.998229e-08
0.4275941.74398.651582e-08
0.4298281.7433428.303124e-08
0.4320741.7427917.952845e-08
0.4343321.7422477.600736e-08
0.4366011.7417117.246787e-08
0.4388821.7411816.890988e-08
0.441.7409256.716700e-08
0.4411761.7406596.603429e-08
0.4434811.7401436.381341e-08
0.4457981.7396356.158093e-08
0.4481281.7391335.933678e-08
0.4504691.7386375.708091e-08
0.4528231.7381485.481325e-08
0.4551891.7376655.253375e-08
0.4575681.7371885.024233e-08
0.4599591.7367184.793893e-08
0.461.7367094.789900e-08
0.4623621.7362534.632051e-08
0.4647781.7357944.470593e-08
0.4672061.7353414.308292e-08
0.4696481.7348944.145142e-08
0.4721021.7344533.981140e-08
0.4745691.7340173.816281e-08
0.4770481.7335863.650560e-08
0.4795411.7331613.483974e-08
0.481.7330833.453300e-08
0.4820471.7327413.344946e-08
0.4845661.7323263.211600e-08
0.4870981.7319163.077558e-08
0.4896431.7315122.942815e-08
0.4922011.7311122.807368e-08
0.4947731.7307172.671213e-08
0.4973581.7303272.534347e-08
0.4999571.7299422.396766e-08
0.51.7299352.394500e-08
0.502571.7295612.316473e-08
0.5051961.7291852.236732e-08
0.5078351.7288132.156575e-08
0.5104891.7284462.075998e-08
0.5131561.7280831.995001e-08
0.5158381.7277251.913580e-08
0.5185331.7273711.831734e-08
0.5212431.7270211.749460e-08
0.5239661.7266751.666756e-08
0.5267041.7263331.583621e-08
0.5294561.7259951.500050e-08
0.5322231.7256611.416043e-08
0.5350041.7253311.331598e-08
0.5377991.7250051.246710e-08
0.5406091.7246831.161380e-08
0.5434341.7243641.075603e-08
0.5462741.7240499.893784e-09
0.5491281.7237389.027031e-09
0.551.7236448.762300e-09
0.5519981.723438.794124e-09
0.5548821.7231258.840077e-09
0.5577811.7228248.886270e-09
0.5606961.7225278.932705e-09
0.5636261.7222338.979382e-09
0.5665711.7219429.026303e-09
0.5695311.7216549.073469e-09
0.5725071.721379.120881e-09
0.5754981.7210899.168542e-09
0.5785061.7208119.216451e-09
0.5815281.7205369.264611e-09
0.5845671.7202649.313022e-09
0.5876221.7199959.361687e-09
0.5906921.7197299.410605e-09
0.5937791.7194669.459779e-09
0.5968811.7192059.509211e-09
0.61.7189489.558900e-09
0.6031351.7186939.608818e-09
0.6062871.7184419.658996e-09
0.6094551.7181929.709437e-09
0.6126391.7179469.760141e-09
0.615841.7177029.811111e-09
0.6190581.717469.862346e-09
0.6222931.7172229.913850e-09
0.6255451.7169859.965622e-09
0.6288131.7167521.001766e-08
0.6320991.716521.006998e-08
0.6354021.7162921.012257e-08
0.6387221.7160651.017543e-08
0.6420591.7158411.022857e-08
0.6454141.7156191.028199e-08
0.6487871.71541.033568e-08
0.651.7153221.035500e-08
0.6521771.7151821.038970e-08
0.6555851.7149671.044402e-08
0.659011.7147551.049862e-08
0.6624541.7145441.055351e-08
0.6659151.7143351.060869e-08
0.6693951.7141291.066415e-08
0.6728921.7139251.071991e-08
0.6764091.7137221.077595e-08
0.6799431.7135221.083229e-08
0.6834961.7133241.088892e-08
0.6870671.7131271.094585e-08
0.6906571.7129331.100308e-08
0.6942661.712741.106060e-08
0.6978941.712551.111843e-08
0.71.712441.115200e-08
0.7015411.7123611.107832e-08
0.7052061.7121741.090301e-08
0.7088911.7119891.072677e-08
0.7125951.7118061.054962e-08
0.7163191.7116241.037154e-08
0.7200621.7114441.019253e-08
0.7238241.7112661.001259e-08
0.7276061.7110899.831702e-09
0.7314081.7109149.649872e-09
0.735231.7107419.467091e-09
0.7390721.7105699.283356e-09
0.7429341.7103999.098660e-09
0.7468161.7102318.912999e-09
0.7507181.7100648.726368e-09
0.7546411.7098988.538762e-09
0.7585841.7097348.350176e-09
0.7625471.7095728.160604e-09
0.7665321.7094117.970042e-09
0.7705371.7092517.778484e-09
0.7745641.7090937.585925e-09
0.7786111.7089367.392360e-09
0.7826791.7087817.197783e-09
0.7867691.7086277.002190e-09
0.790881.7084746.805575e-09
0.7950121.7083226.607932e-09
0.7991671.7081726.409257e-09
0.81.7081426.369400e-09
0.8033421.7080236.635747e-09
0.807541.7078766.970242e-09
0.811761.7077297.306484e-09
0.8160011.7075847.644483e-09
0.8202651.707447.984248e-09
0.8245511.7072978.325789e-09
0.828861.7071558.669114e-09
0.8331911.7070159.014233e-09
0.8375441.7068759.361155e-09
0.8419211.7067379.709891e-09
0.846321.7065991.006045e-08
0.8507421.7064631.041284e-08
0.8551871.7063281.076707e-08
0.8596561.7061941.112315e-08
0.8641481.7060611.148109e-08
0.8686631.7059291.184090e-08
0.8732021.7057971.220260e-08
0.8777651.7056671.256618e-08
0.8823511.7055381.293166e-08
0.8869621.705411.329905e-08
0.8915971.7052821.366836e-08
0.8962551.7051561.403961e-08
0.91.7050551.433800e-08
0.9009391.705031.427816e-08
0.9056461.7049051.397799e-08
0.9103781.7047811.367624e-08
0.9151351.7046581.337293e-08
0.9199171.7045361.306803e-08
0.9247241.7044151.276153e-08
0.9295561.7042941.245343e-08
0.9344131.7041741.214373e-08
0.9392951.7040551.183240e-08
0.9442041.7039371.151945e-08
0.9491371.7038191.120487e-08
0.9540971.7037021.088863e-08
0.9590821.7035861.057075e-08
0.9640931.703471.025121e-08
0.9691311.7033569.929994e-09
0.9741951.7032419.607102e-09
0.9792851.7031289.282523e-09
0.9844021.7030158.956248e-09
0.9895461.7029038.628268e-09
0.9947171.7027918.298574e-09
0.9999141.702687.967158e-09
11.7026787.961700e-09
1.005141.702578.002618e-09
1.010391.702468.044435e-09
1.015671.702358.086471e-09
1.020981.7022428.128726e-09
1.026311.7021338.171202e-09
1.031681.7020268.213901e-09
1.037071.7019188.256822e-09
1.042491.7018128.299967e-09
1.047931.7017058.343338e-09
1.053411.7015998.386935e-09
1.058911.7014948.430761e-09
1.064451.7013898.474815e-09
1.070011.7012858.519099e-09
1.07561.7011818.563615e-09
1.081221.7010778.608364e-09
1.086871.7009748.653346e-09
1.092551.7008718.698564e-09
1.098261.7007688.744017e-09
1.1041.7006668.789708e-09
1.109761.7005648.835638e-09
1.115561.7004638.881808e-09
1.121391.7003618.928219e-09
1.127251.7002618.974873e-09
1.133141.700169.021770e-09
1.139061.700069.068913e-09
1.145011.699969.116301e-09
1.1511.699869.163938e-09
1.157011.699769.211823e-09
1.163061.6996619.259959e-09
1.169131.6995629.308346e-09
1.175241.6994639.356986e-09
1.181381.6993649.405880e-09
1.187561.6992669.455029e-09
1.193761.6991689.504436e-09
1.21.699079.554100e-09
1.21.699079.554100e-09
1.206271.6989729.953828e-09
1.212571.6988741.035564e-08
1.218911.6987761.075956e-08
1.225281.6986791.116559e-08
1.231681.6985811.157373e-08
1.238121.6984841.198401e-08
1.244591.6983861.239644e-08
1.251091.6982891.281102e-08
1.257631.6981921.322776e-08
1.26421.6980951.364669e-08
1.27081.6979981.406780e-08
1.277441.6979011.449111e-08
1.284121.6978041.491664e-08
1.290831.6977071.534438e-08
1.297571.697611.577437e-08
1.304351.6975131.620660e-08
1.311171.6974161.664109e-08
1.318021.6973191.707784e-08
1.324911.6972221.751689e-08
1.331831.6971251.795822e-08
1.338791.6970271.840186e-08
1.345781.696931.884782e-08
1.352821.6968331.929611e-08
1.359891.6967351.974674e-08
1.366991.6966372.019973e-08
1.374131.696542.065508e-08
1.381311.6964422.111281e-08
1.388531.6963442.157294e-08
1.395791.6962452.203547e-08
1.41.6961882.230400e-08
1.403081.6961472.235308e-08
1.410411.6960482.246987e-08
1.417781.6959492.258727e-08
1.425191.695852.270528e-08
1.432641.6957512.282391e-08
1.440121.6956522.294316e-08
1.447651.6955522.306304e-08
1.455211.6954522.318354e-08
1.462821.6953522.330467e-08
1.470461.6952512.342643e-08
1.478141.695152.354883e-08
1.485871.6950492.367186e-08
1.493631.6949482.379554e-08
1.501441.6948462.391987e-08
1.509281.6947442.404485e-08
1.517171.6946422.417048e-08
1.525091.6945392.429676e-08
1.533061.6944362.442371e-08
1.541071.6943322.455132e-08
1.549131.6942282.467959e-08
1.557221.6941242.480854e-08
1.565361.6940192.493816e-08
1.573541.6939142.506846e-08
1.581761.6938082.519944e-08
1.590021.6937022.533110e-08
1.598331.6935952.546345e-08
1.61.6935742.549000e-08
1.606681.6934882.800119e-08
1.615081.693383.115489e-08
1.623521.6932723.432507e-08
1.6321.6931643.751181e-08
1.640531.6930544.071520e-08
1.64911.6929454.393533e-08
1.657721.6928344.717229e-08
1.666381.6927235.042616e-08
1.675091.6926125.369704e-08
1.683841.69255.698500e-08
1.692641.6923876.029015e-08
1.701481.6922746.361256e-08
1.710371.692166.695234e-08
1.719311.6920457.030956e-08
1.72831.691937.368433e-08
1.737331.6918147.707674e-08
1.74641.6916978.048687e-08
1.755531.691588.391482e-08
1.76471.6914628.736068e-08
1.773921.6913439.082454e-08
1.783191.6912239.430651e-08
1.792511.6911039.780666e-08
1.81.6910061.006200e-07
1.801881.6909811.050078e-07
1.811291.6908591.270172e-07
1.820761.6907361.491416e-07
1.830271.6906131.713816e-07
1.839831.6904881.937377e-07
1.849451.6903632.162107e-07
1.859111.6902372.388012e-07
1.868831.6901092.615096e-07
1.878591.6899812.843368e-07
1.888411.6898523.072832e-07
1.898271.6897223.303495e-07
1.908191.6895923.535363e-07
1.918161.689463.768443e-07
1.928191.6893274.002741e-07
1.938261.6891934.238263e-07
1.948391.6890584.475015e-07
1.958571.6889224.713005e-07
1.96881.6887854.952239e-07
1.979091.6886475.192722e-07
1.989431.6885085.434462e-07
1.999831.6883685.677465e-07
2.010281.6882265.921738e-07
2.020781.6880846.167287e-07
2.031341.687946.414119e-07
2.041961.6877956.662241e-07
2.052631.6876496.911660e-07
2.063351.6875027.162382e-07
2.074131.6873537.414414e-07
2.084971.6872037.667763e-07
2.095861.6870527.922435e-07
2.106821.68698.178439e-07
2.117821.6867468.435780e-07
2.128891.6865918.694465e-07
2.140011.6864358.954503e-07
2.15121.6862779.215899e-07
2.162441.6861189.478661e-07
2.173741.6859579.742796e-07
2.18511.6857951.000831e-06
2.196511.6856321.027521e-06
2.207991.6854671.054351e-06
2.219531.68531.081321e-06
2.231121.6851321.108432e-06
2.242781.6849631.135684e-06
2.25451.6847911.163079e-06
2.266281.6846191.190617e-06
2.278121.6844441.218299e-06
2.290031.6842691.246126e-06
2.301991.6840911.274098e-06
2.314021.6839121.302216e-06
2.326111.6837311.330481e-06
2.338271.6835481.358894e-06
2.350491.6833631.387455e-06
2.362771.6831771.416165e-06
2.375111.6829891.445026e-06
2.387521.6827991.474037e-06
2.41.6826071.503200e-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
—