Optical constants

Refractive index of LAM59 (OHARA)

LAM59: 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 340-2400 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.697
Extinction coefficient k
1.76522e-08
Permittivity ε1
2.87981
Permittivity ε2
5.99116e-08
Absorption coefficient α
0.00377509 cm⁻¹
Penetration depth δ = λ/(2πk)
5.29788e+09 nm
Abbe number Vd
48.536
Chromatic dispersion dn/dλ
-0.0735636 µm⁻¹
Group index ng
1.74023
Group velocity dispersion
135.66 fs²/mm
Dispersion parameter D
-740.096 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

# LAM59 (OHARA): LAM59
ohara_lam59 = ls.fetch_refractiveindex("specs", "OHARA-optical", "LAM59", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_lam59.range_nm)  # (300, 2400) nm
eps = ohara_lam59.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=1.626945λ2λ2−0.008757497+0.1906681λ2λ2−0.03779724+1.281079λ2λ2−123.7784

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.626945
C30.008757497
C40.1906681
C50.03779724
C61.281079
C7123.7784

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -5.171e-07 0.0 0.0 0.0 0.0 0.0
nd
1.697002
Vd
48.535864
glass code
697485
glass status
preferred
density
value: 4059
thermal expansion
value: 7.5e-06, temperature range: 243 343; value: 9e-06, temperature range: 293 573
dPgF
-0.0019
resistance
acid: 53.2; phosphate: 3.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -2.85e-07 K⁻¹ at 633 nm, dn/dT = -2.79e-07 K⁻¹ at 1310 nm, dn/dT = -2.78e-07 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 340-2400 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 422 wavelengths, the same grid as the API and the library
LAM59 (OHARA), LAM59: n and k versus wavelength
λ (µm)nk
0.31.7692110
0.3015681.7679470
0.3031431.7667070
0.3047271.7654890
0.306321.7642930
0.307921.7631190
0.3095291.7619660
0.3111471.7608340
0.3127721.7597210
0.3144071.7586280
0.3160491.7575540
0.3177011.7564980
0.3193611.755460
0.321031.754440
0.3227071.7534370
0.3243931.752450
0.3260881.751480
0.3277921.7505260
0.3295051.7495870
0.3312271.7486630
0.3329581.7477550
0.3346971.746860
0.3364461.745980
0.3382041.7451140
0.3399711.7442610
0.341.7442478.709100e-06
0.3417481.7434217.806560e-06
0.3435341.7425956.884489e-06
0.3453291.7417815.957600e-06
0.3471331.7409795.025867e-06
0.3489471.740194.089266e-06
0.351.7397393.545500e-06
0.350771.7394123.388838e-06
0.3526031.7386473.016053e-06
0.3544461.7378922.641320e-06
0.3562981.7371492.264629e-06
0.3581591.7364171.885970e-06
0.361.7357071.511600e-06
0.3600311.7356951.509196e-06
0.3619121.7349841.362451e-06
0.3638031.7342831.214940e-06
0.3657041.7335921.066658e-06
0.3676151.7329129.176006e-07
0.3695361.7322417.677646e-07
0.371.732087.315600e-07
0.3714671.7315796.809563e-07
0.3734081.7309276.139917e-07
0.3753591.7302845.466772e-07
0.377321.729654.790110e-07
0.3792921.7290254.109912e-07
0.381.7288033.865600e-07
0.3812741.7284093.655854e-07
0.3832661.7278013.327790e-07
0.3852691.7272012.998013e-07
0.3872821.726612.666513e-07
0.3893051.7260262.333280e-07
0.391.7258292.218900e-07
0.391341.7254512.113526e-07
0.3933841.7248831.952679e-07
0.395441.7243231.790991e-07
0.3975061.7237711.628459e-07
0.3995831.7232261.465077e-07
0.41.7231181.432300e-07
0.4016711.7226881.377601e-07
0.403771.7221571.308906e-07
0.405881.7216341.239852e-07
0.4080011.7211171.170438e-07
0.4101331.7206071.100661e-07
0.4122761.7201031.030519e-07
0.414431.7196069.600111e-08
0.4165951.7191168.891344e-08
0.4187721.7186328.178875e-08
0.421.7183637.777000e-08
0.420961.7181547.674753e-08
0.423161.7176827.440560e-08
0.4253711.7172177.205143e-08
0.4275941.7167576.968496e-08
0.4298281.7163036.730612e-08
0.4320741.7158556.491485e-08
0.4343321.7154126.251109e-08
0.4366011.7149756.009477e-08
0.4388821.7145435.766582e-08
0.441.7143355.647600e-08
0.4411761.7141175.575386e-08
0.4434811.7136965.433797e-08
0.4457981.713285.291469e-08
0.4481281.712875.148397e-08
0.4504691.7124645.004578e-08
0.4528231.7120644.860007e-08
0.4551891.7116684.714681e-08
0.4575681.7112774.568595e-08
0.4599591.7108914.421746e-08
0.461.7108854.419200e-08
0.4623621.710514.259639e-08
0.4647781.7101334.096429e-08
0.4672061.7097613.932367e-08
0.4696481.7093933.767447e-08
0.4721021.7090293.601666e-08
0.4745691.708673.435018e-08
0.4770481.7083153.267500e-08
0.4795411.7079653.099106e-08
0.481.7079013.068100e-08
0.4820471.7076182.999166e-08
0.4845661.7072762.914332e-08
0.4870981.7069372.829056e-08
0.4896431.7066032.743333e-08
0.4922011.7062722.657163e-08
0.4947731.7059462.570543e-08
0.4973581.7056232.483469e-08
0.4999571.7053042.395941e-08
0.51.7052982.394500e-08
0.502571.7049882.339022e-08
0.5051961.7046762.282326e-08
0.5078351.7043682.225333e-08
0.5104891.7040632.168043e-08
0.5131561.7037622.110453e-08
0.5158381.7034642.052563e-08
0.5185331.7031691.994370e-08
0.5212431.7028781.935872e-08
0.5239661.702591.877070e-08
0.5267041.7023061.817959e-08
0.5294561.7020241.758540e-08
0.5322231.7017461.698811e-08
0.5350041.7014711.638769e-08
0.5377991.7011981.578414e-08
0.5406091.7009291.517743e-08
0.5434341.7006631.456756e-08
0.5462741.70041.395449e-08
0.5491281.7001391.333823e-08
0.551.700061.315000e-08
0.5519981.6998811.338918e-08
0.5548821.6996271.373455e-08
0.5577811.6993751.408172e-08
0.5606961.6991251.443071e-08
0.5636261.6988791.478152e-08
0.5665711.6986351.513416e-08
0.5695311.6983931.548865e-08
0.5725071.6981551.584499e-08
0.5754981.6979181.620319e-08
0.5785061.6976851.656326e-08
0.5815281.6974531.692521e-08
0.5845671.6972241.728906e-08
0.5876221.6969981.765480e-08
0.5906921.6967741.802246e-08
0.5937791.6965521.839204e-08
0.5968811.6963331.876355e-08
0.61.6961161.913700e-08
0.6031351.6959011.923701e-08
0.6062871.6956881.933754e-08
0.6094551.6954771.943860e-08
0.6126391.6952691.954019e-08
0.615841.6950631.964231e-08
0.6190581.6948581.974496e-08
0.6222931.6946561.984815e-08
0.6255451.6944561.995187e-08
0.6288131.6942582.005614e-08
0.6320991.6940622.016096e-08
0.6354021.6938682.026632e-08
0.6387221.6936752.037223e-08
0.6420591.6934852.047870e-08
0.6454141.6932962.058572e-08
0.6487871.693112.069330e-08
0.651.6930432.073200e-08
0.6521771.6929252.055803e-08
0.6555851.6927422.028568e-08
0.659011.692562.001190e-08
0.6624541.6923811.973670e-08
0.6659151.6922031.946006e-08
0.6693951.6920271.918197e-08
0.6728921.6918521.890243e-08
0.6764091.6916791.862143e-08
0.6799431.6915081.833896e-08
0.6834961.6913381.805502e-08
0.6870671.691171.776959e-08
0.6906571.6910041.748267e-08
0.6942661.6908391.719425e-08
0.6978941.6906751.690432e-08
0.71.6905811.673600e-08
0.7015411.6905131.667452e-08
0.7052061.6903531.652822e-08
0.7088911.6901931.638116e-08
0.7125951.6900361.623332e-08
0.7163191.6898791.608472e-08
0.7200621.6897241.593534e-08
0.7238241.6895711.578518e-08
0.7276061.6894191.563423e-08
0.7314081.6892681.548250e-08
0.735231.6891181.532997e-08
0.7390721.688971.517665e-08
0.7429341.6888231.502252e-08
0.7468161.6886771.486759e-08
0.7507181.6885321.471185e-08
0.7546411.6883891.455530e-08
0.7585841.6882461.439792e-08
0.7625471.6881051.423973e-08
0.7665321.6879651.408071e-08
0.7705371.6878271.392086e-08
0.7745641.6876891.376017e-08
0.7786111.6875521.359864e-08
0.7826791.6874171.343627e-08
0.7867691.6872821.327305e-08
0.790881.6871491.310898e-08
0.7950121.6870171.294405e-08
0.7991671.6868851.277826e-08
0.81.6868591.274500e-08
0.8033421.6867551.303823e-08
0.807541.6866251.340649e-08
0.811761.6864971.377668e-08
0.8160011.6863691.414880e-08
0.8202651.6862431.452286e-08
0.8245511.6861171.489888e-08
0.828861.6859921.527686e-08
0.8331911.6858691.565682e-08
0.8375441.6857461.603876e-08
0.8419211.6856231.642270e-08
0.846321.6855021.680865e-08
0.8507421.6853821.719661e-08
0.8551871.6852621.758660e-08
0.8596561.6851431.797862e-08
0.8641481.6850251.837270e-08
0.8686631.6849081.876883e-08
0.8732021.6847911.916704e-08
0.8777651.6846751.956732e-08
0.8823511.684561.996970e-08
0.8869621.6844462.037418e-08
0.8915971.6843322.078077e-08
0.8962551.6842192.118948e-08
0.91.6841292.151800e-08
0.9009391.6841062.161539e-08
0.9056461.6839952.210390e-08
0.9103781.6838832.259496e-08
0.9151351.6837732.308859e-08
0.9199171.6836632.358480e-08
0.9247241.6835542.408360e-08
0.9295561.6834452.458500e-08
0.9344131.6833372.508903e-08
0.9392951.6832292.559569e-08
0.9442041.6831222.610500e-08
0.9491371.6830162.661697e-08
0.9540971.682912.713161e-08
0.9590821.6828042.764894e-08
0.9640931.6826992.816898e-08
0.9691311.6825952.869173e-08
0.9741951.6824912.921722e-08
0.9792851.6823872.974545e-08
0.9844021.6822843.027644e-08
0.9895461.6821823.081021e-08
0.9947171.6820793.134676e-08
0.9999141.6819773.188612e-08
11.6819763.189500e-08
1.005141.6818763.205891e-08
1.010391.6817753.222643e-08
1.015671.6816743.239482e-08
1.020981.6815743.256409e-08
1.026311.6814743.273425e-08
1.031681.6813743.290529e-08
1.037071.6812753.307723e-08
1.042491.6811763.325007e-08
1.047931.6810773.342380e-08
1.053411.6809793.359845e-08
1.058911.6808813.377401e-08
1.064451.6807833.395049e-08
1.070011.6806853.412789e-08
1.07561.6805883.430621e-08
1.081221.6804913.448547e-08
1.086871.6803943.466567e-08
1.092551.6802973.484680e-08
1.098261.6802013.502889e-08
1.1041.6801043.521192e-08
1.109761.6800083.539591e-08
1.115561.6799123.558086e-08
1.121391.6798163.576678e-08
1.127251.6797213.595367e-08
1.133141.6796253.614154e-08
1.139061.679533.633039e-08
1.145011.6794343.652022e-08
1.1511.6793393.671105e-08
1.157011.6792443.690287e-08
1.163061.6791493.709570e-08
1.169131.6790543.728953e-08
1.175241.6789593.748438e-08
1.181381.6788643.768024e-08
1.187561.6787693.787713e-08
1.193761.6786743.807505e-08
1.21.6785793.827400e-08
1.21.6785793.827400e-08
1.206271.6784843.952762e-08
1.212571.678394.078779e-08
1.218911.6782954.205454e-08
1.225281.67824.332791e-08
1.231681.6781054.460794e-08
1.238121.678014.589465e-08
1.244591.6779154.718809e-08
1.251091.6778194.848829e-08
1.257631.6777244.979528e-08
1.26421.6776295.110910e-08
1.27081.6775335.242978e-08
1.277441.6774385.375737e-08
1.284121.6773425.509189e-08
1.290831.6772465.643338e-08
1.297571.677155.778189e-08
1.304351.6770545.913744e-08
1.311171.6769576.050007e-08
1.318021.6768616.186983e-08
1.324911.6767646.324674e-08
1.331831.6766676.463085e-08
1.338791.676576.602218e-08
1.345781.6764726.742079e-08
1.352821.6763746.882671e-08
1.359891.6762767.023997e-08
1.366991.6761787.166062e-08
1.374131.676087.308869e-08
1.381311.6759817.452423e-08
1.388531.6758827.596726e-08
1.395791.6757827.741783e-08
1.41.6757247.826000e-08
1.403081.6756827.862988e-08
1.410411.6755827.951001e-08
1.417781.6754828.039475e-08
1.425191.6753818.128411e-08
1.432641.6752798.217812e-08
1.440121.6751788.307680e-08
1.447651.6750768.398017e-08
1.455211.6749738.488827e-08
1.462821.674878.580111e-08
1.470461.6747678.671872e-08
1.478141.6746638.764112e-08
1.485871.6745598.856835e-08
1.493631.6744548.950041e-08
1.501441.6743499.043735e-08
1.509281.6742439.137919e-08
1.517171.6741379.232595e-08
1.525091.674039.327765e-08
1.533061.6739239.423433e-08
1.541071.6738159.519600e-08
1.549131.6737079.616270e-08
1.557221.6735989.713445e-08
1.565361.6734889.811128e-08
1.573541.6733789.909321e-08
1.581761.6732671.000803e-07
1.590021.6731561.010725e-07
1.598331.6730441.020699e-07
1.61.6730211.022700e-07
1.606681.6729311.070607e-07
1.615081.6728181.130772e-07
1.623521.6727031.191252e-07
1.6321.6725891.252047e-07
1.640531.6724731.313160e-07
1.64911.6723571.374593e-07
1.657721.672241.436346e-07
1.666381.6721221.498422e-07
1.675091.6720041.560823e-07
1.683841.6718841.623549e-07
1.692641.6717641.686603e-07
1.701481.6716431.749987e-07
1.710371.6715211.813702e-07
1.719311.6713991.877750e-07
1.72831.6712751.942132e-07
1.737331.6711512.006851e-07
1.74641.6710262.071908e-07
1.755531.67092.137305e-07
1.76471.6707732.203044e-07
1.773921.6706452.269126e-07
1.783191.6705162.335554e-07
1.792511.6703862.402328e-07
1.81.6702812.456000e-07
1.801881.6702552.583136e-07
1.811291.6701233.220845e-07
1.820761.669993.861887e-07
1.830271.6698564.506278e-07
1.839831.6697215.154037e-07
1.849451.6695855.805180e-07
1.859111.6694476.459725e-07
1.868831.6693097.117691e-07
1.878591.669177.779095e-07
1.888411.6690298.443954e-07
1.898271.6688879.112288e-07
1.908191.6687449.784114e-07
1.918161.66861.045945e-06
1.928191.6684551.113832e-06
1.938261.6683081.182073e-06
1.948391.668161.250671e-06
1.958571.6680111.319627e-06
1.96881.6678611.388943e-06
1.979091.6677091.458622e-06
1.989431.6675561.528665e-06
1.999831.6674021.599074e-06
2.010281.6672461.669851e-06
2.020781.6670891.740997e-06
2.031341.666931.812516e-06
2.041961.666771.884408e-06
2.052631.6666091.956675e-06
2.063351.6664462.029321e-06
2.074131.6662812.102345e-06
2.084971.6661152.175752e-06
2.095861.6659482.249542e-06
2.106821.6657792.323717e-06
2.117821.6656082.398281e-06
2.128891.6654362.473233e-06
2.140011.6652622.548578e-06
2.15121.6650862.624316e-06
2.162441.6649092.700450e-06
2.173741.664732.776982e-06
2.18511.6645492.853913e-06
2.196511.6643672.931247e-06
2.207991.6641833.008984e-06
2.219531.6639973.087128e-06
2.231121.6638093.165680e-06
2.242781.6636193.244643e-06
2.25451.6634283.324018e-06
2.266281.6632343.403808e-06
2.278121.6630393.484015e-06
2.290031.6628413.564641e-06
2.301991.6626423.645689e-06
2.314021.662443.727159e-06
2.326111.6622373.809056e-06
2.338271.6620313.891380e-06
2.350491.6618243.974135e-06
2.362771.6616144.057322e-06
2.375111.6614024.140944e-06
2.387521.6611884.225002e-06
2.41.6609714.309500e-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
—