Optical constants

Refractive index of L-PHL1 (OHARA)

L-PHL1: n,k 0.31–2.4 µm

Data
formula 2 + tabulated k
Range
0.31–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.31–2.4 µm
Refractive index n
1.56455
Extinction coefficient k
4.67830e-09
Permittivity ε1
2.44781
Permittivity ε2
1.46388e-08
Absorption coefficient α
0.0010005 cm⁻¹
Penetration depth δ = λ/(2πk)
1.99901e+10 nm
Abbe number Vd
60.818
Chromatic dispersion dn/dλ
-0.0478871 µm⁻¹
Group index ng
1.59269
Group velocity dispersion
84.8242 fs²/mm
Dispersion parameter D
-462.761 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

# L-PHL1 (OHARA): L-PHL1
ohara_l_phl1 = ls.fetch_refractiveindex("specs", "OHARA-optical", "L-PHL1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_l_phl1.range_nm)  # (310, 2400) nm
eps = ohara_l_phl1.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=1.07570798λ2λ2−0.00591654042+0.335020347λ2λ2−0.0203432769+0.810997558λ2λ2−106.182158

Valid from 0.31 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.07570798
C30.00591654042
C40.335020347
C50.0203432769
C60.810997558
C7106.182158

Comments and conditions

Low Softening Temperature

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -5.46e-06 7.3e-09 -4.11e-11 5.89e-07 6.92e-10 0.202
nd
1.564550
Vd
60.818065
glass code
565608
glass status
preferred
density
value: 3180
thermal expansion
value: 1.05e-05, temperature range: 243 343; value: 1.4e-05, temperature range: 293 573
dPgF
0.0026
resistance
acid: 53.3; climatic: 3.0; phosphate: 4.3

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -1.76e-06 K⁻¹ at 633 nm, dn/dT = -2.31e-06 K⁻¹ at 1310 nm, dn/dT = -2.35e-06 K⁻¹ at 1550 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 427 wavelengths, the same grid as the API and the library
L-PHL1 (OHARA), L-PHL1: n and k versus wavelength
λ (µm)nk
0.311.6032876.940400e-06
0.3115941.6026836.237574e-06
0.3131971.6020885.531134e-06
0.3148071.60154.821061e-06
0.3164261.600924.107336e-06
0.3180531.6003483.389940e-06
0.3196891.5997832.668856e-06
0.321.5996772.531800e-06
0.3213331.5992262.319141e-06
0.3229861.5986772.055543e-06
0.3246471.5981341.790589e-06
0.3263161.5975991.524273e-06
0.3279941.5970711.256587e-06
0.3296811.5965499.875241e-07
0.331.5964529.366500e-07
0.3313761.5960348.553292e-07
0.3330811.5955267.546516e-07
0.3347941.5950256.534563e-07
0.3365151.594535.517405e-07
0.3382461.5940424.495017e-07
0.3399851.5935593.467371e-07
0.341.5935553.458700e-07
0.3417341.5930833.096591e-07
0.3434911.5926132.729538e-07
0.3452581.5921492.360597e-07
0.3470331.591691.989760e-07
0.3488181.5912381.617015e-07
0.351.5909431.370100e-07
0.3506121.5907911.319912e-07
0.3524151.590351.171961e-07
0.3542271.5899141.023250e-07
0.3560491.5894848.737737e-08
0.357881.5890597.235288e-08
0.359721.5886395.725112e-08
0.361.5885765.495500e-08
0.361571.5882255.097280e-08
0.363431.5878164.625675e-08
0.3652981.5874114.151645e-08
0.3671771.5870123.675177e-08
0.3690651.5866183.196258e-08
0.371.5864252.959200e-08
0.3709631.5862282.849441e-08
0.3728711.5858432.632075e-08
0.3747891.5854632.413590e-08
0.3767161.5850872.193982e-08
0.3786531.5847161.973245e-08
0.381.5844621.819800e-08
0.3806011.584351.785214e-08
0.3825581.5839881.672494e-08
0.3845251.583631.559194e-08
0.3865031.5832761.445311e-08
0.388491.5829271.330843e-08
0.391.5826651.243900e-08
0.3904881.5825821.245457e-08
0.3924961.5822411.251863e-08
0.3945151.5819031.258302e-08
0.3965441.581571.264774e-08
0.3985831.5812411.271279e-08
0.41.5810161.275800e-08
0.4006331.5809161.277818e-08
0.4026931.5805951.284391e-08
0.4047641.5802771.290997e-08
0.4068451.5799631.297637e-08
0.4089381.5796531.304311e-08
0.4110411.5793461.311020e-08
0.4131551.5790431.317763e-08
0.4152791.5787431.324541e-08
0.4174151.5784471.331353e-08
0.4195611.5781541.338201e-08
0.421.5780951.339600e-08
0.4217191.5778651.345084e-08
0.4238881.5775791.352002e-08
0.4260681.5772961.358956e-08
0.4282591.5770161.365946e-08
0.4304611.576741.372971e-08
0.4326751.5764661.380033e-08
0.43491.5761961.387131e-08
0.4371371.5759291.394266e-08
0.4393851.5756651.401437e-08
0.441.5755931.403400e-08
0.4416441.5754041.378441e-08
0.4439151.5751461.343964e-08
0.4461981.574891.309310e-08
0.4484931.5746381.274477e-08
0.4507991.5743881.239466e-08
0.4531181.5741411.204274e-08
0.4554481.5738971.168901e-08
0.457791.5736561.133347e-08
0.461.5734321.099800e-08
0.4601441.5734171.100145e-08
0.4625111.5731811.105801e-08
0.4648891.5729471.111485e-08
0.467281.5727161.117199e-08
0.4696831.5724881.122942e-08
0.4720981.5722621.128715e-08
0.4745261.5720391.134518e-08
0.4769671.5718181.140350e-08
0.4794191.5715991.146212e-08
0.481.5715481.147600e-08
0.4818851.5713831.114518e-08
0.4843631.5711691.071022e-08
0.4868541.5709571.027303e-08
0.4893581.5707489.833592e-09
0.4918741.5705419.391894e-09
0.4944041.5703368.947924e-09
0.4969461.5701338.501671e-09
0.4995021.5699328.053122e-09
0.51.5698947.965700e-09
0.5020711.5697347.817163e-09
0.5046531.5695387.631948e-09
0.5072481.5693437.445781e-09
0.5098561.5691517.258657e-09
0.5124781.5689617.070570e-09
0.5151141.5687736.881516e-09
0.5177631.5685866.691490e-09
0.5204261.5684026.500486e-09
0.5231021.568226.308500e-09
0.5257921.5680396.115527e-09
0.5284961.5678615.921562e-09
0.5312141.5676845.726599e-09
0.5339461.5675095.530633e-09
0.5366921.5673365.333660e-09
0.5394521.5671645.135673e-09
0.5422261.5669954.936669e-09
0.5450141.5668274.736641e-09
0.5478171.5666614.535584e-09
0.551.5665334.379000e-09
0.5506341.5664964.384050e-09
0.5534661.5663334.406590e-09
0.5563121.5661724.429246e-09
0.5591731.5660124.452019e-09
0.5620491.5658544.474909e-09
0.5649391.5656984.497917e-09
0.5678451.5655434.521043e-09
0.5707651.565394.544288e-09
0.57371.5652384.567652e-09
0.576651.5650874.591137e-09
0.5796161.5649394.614742e-09
0.5825971.5647914.638469e-09
0.5855931.5646454.662318e-09
0.5886041.5645014.686289e-09
0.5916311.5643574.710384e-09
0.5946741.5642164.734602e-09
0.5977321.5640754.758946e-09
0.61.5639724.777000e-09
0.6008061.5639364.783416e-09
0.6038961.5637984.808016e-09
0.6070011.5636624.832743e-09
0.6101231.5635274.857597e-09
0.613261.5633934.882579e-09
0.6164141.563264.907689e-09
0.6195841.5631294.932929e-09
0.622771.5629994.958298e-09
0.6259731.562874.983798e-09
0.6291921.5627425.009428e-09
0.6324281.5626155.035191e-09
0.635681.562495.061086e-09
0.6389491.5623665.087115e-09
0.6422351.5622425.113277e-09
0.6455381.562125.139573e-09
0.6488581.5619995.166005e-09
0.651.5619585.175100e-09
0.6521951.561885.192573e-09
0.6555491.5617615.219278e-09
0.658921.5616435.246120e-09
0.6623081.5615265.273100e-09
0.6657141.5614115.300218e-09
0.6691381.5612965.327476e-09
0.6725791.5611825.354875e-09
0.6760381.561075.382414e-09
0.6795151.5609585.410095e-09
0.6830091.5608475.437918e-09
0.6865211.5607375.465884e-09
0.6900521.5606285.493994e-09
0.6936011.560525.522249e-09
0.6971681.5604135.550649e-09
0.71.5603295.573200e-09
0.7007531.5603075.579195e-09
0.7043571.5602025.607887e-09
0.7079791.5600975.636728e-09
0.711621.5599945.665716e-09
0.7152791.5598915.694854e-09
0.7189581.5597895.724142e-09
0.7226551.5596885.753580e-09
0.7263711.5595885.783169e-09
0.7301071.5594885.812911e-09
0.7338621.5593895.842806e-09
0.7376361.5592915.872854e-09
0.7414291.5591945.903057e-09
0.7452421.5590985.933415e-09
0.7490741.5590025.963930e-09
0.7529271.5589075.994601e-09
0.7567991.5588126.025430e-09
0.760691.5587196.056418e-09
0.7646021.5586266.087565e-09
0.7685351.5585346.118872e-09
0.7724871.5584426.150340e-09
0.7764591.5583516.181970e-09
0.7804521.5582616.213762e-09
0.7844661.5581716.245719e-09
0.78851.5580826.277839e-09
0.7925551.5579946.310125e-09
0.7966311.5579066.342576e-09
0.81.5578346.369400e-09
0.8007281.5578186.375195e-09
0.8048461.5577326.407981e-09
0.8089851.5576466.440936e-09
0.8131451.557566.474061e-09
0.8173271.5574756.507355e-09
0.821531.5573916.540821e-09
0.8257551.5573076.574459e-09
0.8300011.5572246.608270e-09
0.834271.5571416.642255e-09
0.838561.5570586.676415e-09
0.8428721.5569766.710750e-09
0.8472071.5568956.745262e-09
0.8515641.5568146.779952e-09
0.8559431.5567346.814819e-09
0.8603451.5566546.849867e-09
0.8647691.5565746.885094e-09
0.8692171.5564956.920503e-09
0.8736871.5564166.956093e-09
0.878181.5563386.991867e-09
0.8826961.556267.027824e-09
0.8872351.5561837.063967e-09
0.8917981.5561067.100295e-09
0.8963841.5560297.136811e-09
0.91.5559697.165600e-09
0.9009941.5559537.173513e-09
0.9056271.5558777.210400e-09
0.9102851.5558017.247477e-09
0.9149661.5557267.284744e-09
0.9196711.5556517.322203e-09
0.9244011.5555777.359855e-09
0.9291551.5555037.397700e-09
0.9339331.5554297.435740e-09
0.9387361.5553557.473976e-09
0.9435631.5552827.512408e-09
0.9484161.5552097.551038e-09
0.9532931.5551367.589867e-09
0.9581961.5550647.628895e-09
0.9631231.5549917.668124e-09
0.9680761.5549197.707555e-09
0.9730551.5548487.747188e-09
0.9780591.5547767.787026e-09
0.9830891.5547057.827068e-09
0.9881441.5546347.867316e-09
0.9932261.5545637.907771e-09
0.9983341.5544937.948434e-09
11.554477.961700e-09
1.003471.5544237.989310e-09
1.008631.5543528.030398e-09
1.013821.5542838.071697e-09
1.019031.5542138.113208e-09
1.024271.5541438.154933e-09
1.029541.5540748.196872e-09
1.034831.5540048.239027e-09
1.040151.5539358.281399e-09
1.04551.5538668.323989e-09
1.050881.5537978.366797e-09
1.056281.5537298.409826e-09
1.061721.553668.453076e-09
1.067181.5535918.496549e-09
1.072661.5535238.540245e-09
1.078181.5534558.584166e-09
1.083721.5533868.628313e-09
1.08931.5533188.672687e-09
1.09491.553258.717289e-09
1.100531.5531828.762120e-09
1.106191.5531148.807182e-09
1.111881.5530468.852475e-09
1.11761.5529788.898002e-09
1.123341.552918.943763e-09
1.129121.5528438.989759e-09
1.134931.5527759.035991e-09
1.140761.5527079.082462e-09
1.146631.5526399.129171e-09
1.152531.5525719.176120e-09
1.158451.5525049.223311e-09
1.164411.5524369.270745e-09
1.17041.5523689.318423e-09
1.176421.55239.366345e-09
1.182471.5522329.414514e-09
1.188551.5521649.462931e-09
1.194661.5520969.511597e-09
1.21.5520379.554100e-09
1.200811.5520289.605451e-09
1.206981.5519599.999123e-09
1.213191.5518911.039482e-08
1.219431.5518231.079255e-08
1.22571.5517541.119233e-08
1.2321.5516861.159416e-08
1.238341.5516171.199806e-08
1.244711.5515481.240404e-08
1.251111.5514791.281210e-08
1.257541.551411.322227e-08
1.264011.5513411.363454e-08
1.270511.5512711.404893e-08
1.277041.5512021.446545e-08
1.283611.5511321.488412e-08
1.290211.5510621.530494e-08
1.296841.5509921.572792e-08
1.303511.5509221.615308e-08
1.310221.5508511.658042e-08
1.316961.550781.700996e-08
1.323731.550711.744171e-08
1.330541.5506381.787569e-08
1.337381.5505671.831189e-08
1.344261.5504951.875034e-08
1.351171.5504241.919104e-08
1.358121.5503511.963400e-08
1.36511.5502792.007925e-08
1.372121.5502062.052678e-08
1.379181.5501332.097662e-08
1.386271.550062.142877e-08
1.39341.5499872.188325e-08
1.41.5499192.230400e-08
1.400571.5499132.274861e-08
1.407771.5498392.841006e-08
1.415011.5497643.410063e-08
1.422281.5496893.982046e-08
1.42961.5496144.556971e-08
1.436951.5495395.134852e-08
1.444341.5494635.715706e-08
1.451771.5493866.299546e-08
1.459231.549316.886389e-08
1.466741.5492337.476250e-08
1.474281.5491558.069144e-08
1.481861.5490778.665087e-08
1.489481.5489999.264095e-08
1.497141.5489219.866183e-08
1.504841.5488411.047137e-07
1.512581.5487621.107967e-07
1.520361.5486821.169109e-07
1.528181.5486021.230566e-07
1.536041.5485211.292339e-07
1.543941.5484391.354430e-07
1.551881.5483571.416840e-07
1.559861.5482751.479571e-07
1.567881.5481921.542624e-07
1.575941.5481091.606002e-07
1.584051.5480251.669706e-07
1.592191.547941.733737e-07
1.61.5478591.795100e-07
1.600381.5478551.804253e-07
1.608611.547772.001786e-07
1.616881.5476832.200334e-07
1.62521.5475972.399903e-07
1.633561.5475092.600498e-07
1.641961.5474212.802126e-07
1.65041.5473333.004790e-07
1.658891.5472443.208496e-07
1.667421.5471543.413250e-07
1.6761.5470643.619057e-07
1.684611.5469723.825922e-07
1.693281.5468814.033851e-07
1.701991.5467884.242849e-07
1.710741.5466954.452922e-07
1.719541.5466014.664076e-07
1.728381.5465074.876315e-07
1.737271.5464125.089646e-07
1.74621.5463165.304074e-07
1.755181.5462195.519604e-07
1.764211.5461215.736243e-07
1.773281.5460235.953996e-07
1.78241.5459246.172869e-07
1.791571.5458246.392868e-07
1.81.5457326.595300e-07
1.800781.5457246.619282e-07
1.810041.5456226.904360e-07
1.819351.545527.190904e-07
1.82871.5454177.478922e-07
1.838111.5453137.768420e-07
1.847561.5452088.059408e-07
1.857061.5451028.351892e-07
1.866611.5449958.645880e-07
1.876211.5448888.941381e-07
1.885861.5447799.238400e-07
1.895561.544679.536948e-07
1.905311.544569.837030e-07
1.915111.5444481.013866e-06
1.924951.5443361.044183e-06
1.934851.5442231.074657e-06
1.94481.5441081.105287e-06
1.954811.5439931.136075e-06
1.964861.5438761.167021e-06
1.974961.5437591.198127e-06
1.985121.543641.229392e-06
1.995331.5435211.260818e-06
21.5434661.275200e-06
2.005591.54341.313355e-06
2.01591.5432781.383763e-06
2.026271.5431551.454534e-06
2.036691.5430311.525668e-06
2.047161.5429061.597169e-06
2.057691.542781.669037e-06
2.068271.5426521.741275e-06
2.078911.5425231.813884e-06
2.08961.5423931.886866e-06
2.100351.5422621.960224e-06
2.111151.5421292.033960e-06
2.122011.5419952.108074e-06
2.132921.541862.182569e-06
2.143891.5417232.257448e-06
2.154911.5415852.332712e-06
2.165991.5414462.408362e-06
2.177131.5413062.484402e-06
2.188331.5411642.560833e-06
2.199581.541022.637657e-06
2.21.5410152.640500e-06
2.21091.5408752.690514e-06
2.222261.5407292.742707e-06
2.233691.5405812.795169e-06
2.245181.5404322.847900e-06
2.256731.5402812.900903e-06
2.268331.5401292.954178e-06
2.281.5399753.007727e-06
2.291721.5398193.061552e-06
2.303511.5396623.115653e-06
2.315351.5395033.170032e-06
2.327261.5393433.224691e-06
2.339231.5391813.279632e-06
2.351261.5390173.334854e-06
2.363351.5388523.390361e-06
2.37551.5386853.446153e-06
2.387721.5385163.502232e-06
2.41.5383453.558600e-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
—