Optical constants

Refractive index of S-PHM53 (OHARA)

S-PHM53: 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
1.603
Extinction coefficient k
1.29605e-08
Permittivity ε1
2.56961
Permittivity ε2
4.15513e-08
Absorption coefficient α
0.00277172 cm⁻¹
Penetration depth δ = λ/(2πk)
7.21573e+09 nm
Abbe number Vd
65.444
Chromatic dispersion dn/dλ
-0.0476667 µm⁻¹
Group index ng
1.63101
Group velocity dispersion
82.6994 fs²/mm
Dispersion parameter D
-451.169 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-PHM53 (OHARA): S-PHM53
ohara_s_phm53 = ls.fetch_refractiveindex("specs", "OHARA-optical", "S-PHM53", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_s_phm53.range_nm)  # (310, 2400) nm
eps = ohara_s_phm53.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=1.09775423λ2λ2−0.01233694+0.434816432λ2λ2+0.000372522903+1.13894976λ2λ2−124.276984

Valid from 0.31 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.09775423
C30.01233694
C40.434816432
C5-0.000372522903
C61.13894976
C7124.276984

Comments and conditions

Recommended

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: -9.57e-06 1.38e-08 -6.4e-12 4.8e-07 8.06e-10 0.131
nd
1.603001
Vd
65.443648
glass code
603655
density
value: 3510
thermal expansion
value: 9.3e-06, temperature range: 243 343; value: 1.09e-05, temperature range: 293 573
dPgF
0.0045
resistance
acid: 51.0; climatic: 1.0; phosphate: 4.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = -4.06e-06 K⁻¹ at 633 nm, dn/dT = -4.46e-06 K⁻¹ at 1310 nm, dn/dT = -4.48e-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
S-PHM53 (OHARA), S-PHM53: n and k versus wavelength
λ (µm)nk
0.311.6406388.650300e-06
0.3115941.6400648.206024e-06
0.3131971.6394977.759463e-06
0.3148071.6389387.310606e-06
0.3164261.6383866.859440e-06
0.3180531.6378416.405955e-06
0.3196891.6373025.950137e-06
0.321.6372015.863500e-06
0.3213331.6367715.567138e-06
0.3229861.6362465.199788e-06
0.3246471.6357274.830549e-06
0.3263161.6352154.459410e-06
0.3279941.634714.086363e-06
0.3296811.6342113.711398e-06
0.331.6341173.640500e-06
0.3313761.6337183.436778e-06
0.3330811.6332313.184565e-06
0.3347941.632752.931054e-06
0.3365151.6322752.676239e-06
0.3382461.6318052.420114e-06
0.3399851.6313422.162672e-06
0.341.6313382.160500e-06
0.3417341.6308842.001429e-06
0.3434911.6304321.840187e-06
0.3452581.6299851.678115e-06
0.3470331.6295441.515210e-06
0.3488181.6291081.351467e-06
0.351.6288231.243000e-06
0.3506121.6286771.210509e-06
0.3524151.6282511.114728e-06
0.3542271.6278311.018455e-06
0.3560491.6274159.216869e-07
0.357881.6270058.244209e-07
0.359721.6265997.266547e-07
0.361.6265387.117900e-07
0.361571.6261996.591295e-07
0.363431.6258035.967645e-07
0.3652981.6254125.340788e-07
0.3671771.6250254.710707e-07
0.3690651.6246434.077386e-07
0.371.6244563.763900e-07
0.3709631.6242653.597104e-07
0.3728711.6238923.266781e-07
0.3747891.6235242.934759e-07
0.3767161.6231592.601030e-07
0.3786531.6227992.265584e-07
0.381.6225522.032400e-07
0.3806011.6224431.980614e-07
0.3825581.6220911.811837e-07
0.3845251.6217441.642192e-07
0.3865031.62141.471675e-07
0.388491.621061.300281e-07
0.391.6208061.170100e-07
0.3904881.6207241.149136e-07
0.3924961.6203921.062899e-07
0.3945151.6200649.762176e-08
0.3965441.619748.890909e-08
0.3985831.6194198.015162e-08
0.41.61927.406600e-08
0.4006331.6191027.321368e-08
0.4026931.6187897.043804e-08
0.4047641.6184796.764812e-08
0.4068451.6181736.484385e-08
0.4089381.617876.202517e-08
0.4110411.6175715.919198e-08
0.4131551.6172755.634423e-08
0.4152791.6169825.348183e-08
0.4174151.6166935.060472e-08
0.4195611.6164064.771280e-08
0.421.6163494.712200e-08
0.4217191.6161234.700983e-08
0.4238881.6158444.686832e-08
0.4260681.6155674.672608e-08
0.4282591.6152934.658311e-08
0.4304611.6150234.643940e-08
0.4326751.6147554.629496e-08
0.43491.6144914.614977e-08
0.4371371.6142294.600384e-08
0.4393851.613974.585716e-08
0.441.61394.581700e-08
0.4416441.6137144.537899e-08
0.4439151.6134614.477394e-08
0.4461981.613214.416577e-08
0.4484931.6129634.355448e-08
0.4507991.6127184.294005e-08
0.4531181.6124754.232246e-08
0.4554481.6122364.170169e-08
0.457791.6119994.107772e-08
0.461.6117784.048900e-08
0.4601441.6117644.041823e-08
0.4625111.6115323.925777e-08
0.4648891.6113023.809134e-08
0.467281.6110753.691892e-08
0.4696831.6108513.574046e-08
0.4720981.6106283.455594e-08
0.4745261.6104083.336534e-08
0.4769671.6101913.216861e-08
0.4794191.6099763.096572e-08
0.481.6099253.068100e-08
0.4818851.6097633.004617e-08
0.4843631.6095522.921153e-08
0.4868541.6093432.837259e-08
0.4893581.6091372.752934e-08
0.4918741.6089332.668176e-08
0.4944041.6087312.582981e-08
0.4969461.6085312.497349e-08
0.4995021.6083332.411276e-08
0.51.6082952.394500e-08
0.5020711.6081372.331623e-08
0.5046531.6079432.253221e-08
0.5072481.6077512.174416e-08
0.5098561.6075622.095205e-08
0.5124781.6073742.015587e-08
0.5151141.6071881.935559e-08
0.5177631.6070041.855120e-08
0.5204261.6068211.774267e-08
0.5231021.6066411.692998e-08
0.5257921.6064631.611312e-08
0.5284961.6062861.529205e-08
0.5312141.6061111.446676e-08
0.5339461.6059381.363723e-08
0.5366921.6057661.280343e-08
0.5394521.6055961.196534e-08
0.5422261.6054281.112294e-08
0.5450141.6052621.027621e-08
0.5478171.6050979.425130e-09
0.551.604978.762300e-09
0.5506341.6049348.833131e-09
0.5534661.6047729.149302e-09
0.5563121.6046129.467100e-09
0.5591731.6044549.786532e-09
0.5620491.6042971.010761e-08
0.5649391.6041421.043033e-08
0.5678451.6039881.075472e-08
0.5707651.6038361.108077e-08
0.57371.6036851.140850e-08
0.576651.6035351.173792e-08
0.5796161.6033871.206903e-08
0.5825971.6032411.240184e-08
0.5855931.6030951.273636e-08
0.5886041.6029511.307261e-08
0.5916311.6028091.341058e-08
0.5946741.6026681.375030e-08
0.5977321.6025281.409175e-08
0.61.6024251.434500e-08
0.6008061.6023891.444793e-08
0.6038961.6022521.484261e-08
0.6070011.6021161.523932e-08
0.6101231.6019811.563807e-08
0.613261.6018471.603888e-08
0.6164141.6017151.644174e-08
0.6195841.6015841.684667e-08
0.622771.6014541.725369e-08
0.6259731.6013251.766280e-08
0.6291921.6011971.807401e-08
0.6324281.601071.848734e-08
0.635681.6009451.890280e-08
0.6389491.6008211.932039e-08
0.6422351.6006971.974013e-08
0.6455381.6005752.016202e-08
0.6488581.6004542.058609e-08
0.651.6004132.073200e-08
0.6521951.6003342.080196e-08
0.6555491.6002152.090889e-08
0.658921.6000972.101636e-08
0.6623081.599982.112439e-08
0.6657141.5998642.123298e-08
0.6691381.5997482.134212e-08
0.6725791.5996342.145182e-08
0.6760381.5995212.156209e-08
0.6795151.5994092.167292e-08
0.6830091.5992972.178433e-08
0.6865211.5991872.189630e-08
0.6900521.5990772.200886e-08
0.6936011.5989682.212199e-08
0.6971681.5988612.223570e-08
0.71.5987762.232600e-08
0.7007531.5987542.230192e-08
0.7043571.5986472.218663e-08
0.7079791.5985422.207076e-08
0.711621.5984372.195429e-08
0.7152791.5983342.183721e-08
0.7189581.5982312.171954e-08
0.7226551.5981292.160126e-08
0.7263711.5980272.148238e-08
0.7301071.5979262.136288e-08
0.7338621.5978262.124277e-08
0.7376361.5977272.112204e-08
0.7414291.5976292.100069e-08
0.7452421.5975312.087871e-08
0.7490741.5974342.075611e-08
0.7529271.5973372.063288e-08
0.7567991.5972422.050901e-08
0.760691.5971472.038451e-08
0.7646021.5970522.025937e-08
0.7685351.5969582.013358e-08
0.7724871.5968652.000715e-08
0.7764591.5967731.988006e-08
0.7804521.5966811.975233e-08
0.7844661.5965891.962393e-08
0.78851.5964981.949488e-08
0.7925551.5964081.936516e-08
0.7966311.5963191.923477e-08
0.81.5962451.912700e-08
0.8007281.5962291.914440e-08
0.8048461.5961411.924286e-08
0.8089851.5960531.934182e-08
0.8131451.5959651.944130e-08
0.8173271.5958781.954128e-08
0.821531.5957921.964178e-08
0.8257551.5957061.974280e-08
0.8300011.595621.984433e-08
0.834271.5955351.994639e-08
0.838561.5954512.004897e-08
0.8428721.5953672.015208e-08
0.8472071.5952832.025572e-08
0.8515641.59522.035989e-08
0.8559431.5951172.046460e-08
0.8603451.5950342.056985e-08
0.8647691.5949522.067564e-08
0.8692171.5948712.078197e-08
0.8736871.5947892.088885e-08
0.878181.5947092.099628e-08
0.8826961.5946282.110426e-08
0.8872351.5945482.121279e-08
0.8917981.5944682.132189e-08
0.8963841.5943892.143154e-08
0.91.5943272.151800e-08
0.9009941.594312.162114e-08
0.9056271.5942312.210195e-08
0.9102851.5941522.258524e-08
0.9149661.5940742.307102e-08
0.9196711.5939962.355929e-08
0.9244011.5939192.405007e-08
0.9291551.5938412.454338e-08
0.9339331.5937642.503923e-08
0.9387361.5936872.553762e-08
0.9435631.5936112.603858e-08
0.9484161.5935352.654211e-08
0.9532931.5934592.704823e-08
0.9581961.5933832.755696e-08
0.9631231.5933072.806830e-08
0.9680761.5932322.858227e-08
0.9730551.5931572.909889e-08
0.9780591.5930822.961816e-08
0.9830891.5930073.014010e-08
0.9881441.5929323.066473e-08
0.9932261.5928583.119205e-08
0.9983341.5927833.172209e-08
11.5927593.189500e-08
1.003471.5927093.183945e-08
1.008631.5926353.175678e-08
1.013821.5925613.167368e-08
1.019031.5924883.159016e-08
1.024271.5924143.150620e-08
1.029541.592343.142182e-08
1.034831.5922673.133700e-08
1.040151.5921943.125175e-08
1.04551.592123.116605e-08
1.050881.5920473.107992e-08
1.056281.5919743.099334e-08
1.061721.5919013.090632e-08
1.067181.5918283.081885e-08
1.072661.5917553.073093e-08
1.078181.5916823.064256e-08
1.083721.5916093.055374e-08
1.08931.5915363.046445e-08
1.09491.5914643.037471e-08
1.100531.5913913.028451e-08
1.106191.5913183.019384e-08
1.111881.5912453.010271e-08
1.11761.5911723.001111e-08
1.123341.5910992.991903e-08
1.129121.5910262.982649e-08
1.134931.5909532.973346e-08
1.140761.590882.963996e-08
1.146631.5908072.954598e-08
1.152531.5907342.945152e-08
1.158451.5906612.935657e-08
1.164411.5905872.926113e-08
1.17041.5905142.916520e-08
1.176421.5904412.906877e-08
1.182471.5903672.897185e-08
1.188551.5902932.887444e-08
1.194661.5902192.877652e-08
1.21.5901552.869100e-08
1.200811.5901452.889064e-08
1.206981.5900713.042116e-08
1.213191.5899973.195955e-08
1.219431.5899223.350585e-08
1.22571.5898483.506010e-08
1.2321.5897733.662234e-08
1.238341.5896983.819262e-08
1.244711.5896233.977097e-08
1.251111.5895474.135745e-08
1.257541.5894724.295208e-08
1.264011.5893964.455490e-08
1.270511.589324.616598e-08
1.277041.5892434.778534e-08
1.283611.5891674.941302e-08
1.290211.589095.104908e-08
1.296841.5890135.269355e-08
1.303511.5889365.434647e-08
1.310221.5888585.600790e-08
1.316961.588785.767787e-08
1.323731.5887025.935643e-08
1.330541.5886236.104362e-08
1.337381.5885446.273949e-08
1.344261.5884656.444408e-08
1.351171.5883866.615744e-08
1.358121.5883066.787960e-08
1.36511.5882266.961063e-08
1.372121.5881457.135055e-08
1.379181.5880647.309942e-08
1.386271.5879837.485729e-08
1.39341.5879017.662420e-08
1.41.5878267.826000e-08
1.400571.5878197.850987e-08
1.407771.5877378.169161e-08
1.415011.5876548.488972e-08
1.422281.5875718.810428e-08
1.42961.5874879.133536e-08
1.436951.5874039.458306e-08
1.444341.5873189.784747e-08
1.451771.5872331.011287e-07
1.459231.5871471.044267e-07
1.466741.5870611.077418e-07
1.474281.5869751.110738e-07
1.481861.5868881.144230e-07
1.489481.58681.177895e-07
1.497141.5867121.211732e-07
1.504841.5866231.245744e-07
1.512581.5865341.279930e-07
1.520361.5864441.314292e-07
1.528181.5863541.348831e-07
1.536041.5862631.383548e-07
1.543941.5861721.418443e-07
1.551881.586081.453517e-07
1.559861.5859871.488772e-07
1.567881.5858941.524208e-07
1.575941.58581.559827e-07
1.584051.5857051.595628e-07
1.592191.585611.631614e-07
1.61.5855181.666100e-07
1.600381.5855141.672089e-07
1.608611.5854171.801327e-07
1.616881.585321.931230e-07
1.62521.5852222.061801e-07
1.633561.5851232.193044e-07
1.641961.5850242.324961e-07
1.65041.5849242.457557e-07
1.658891.5848232.590835e-07
1.667421.5847212.724798e-07
1.6761.5846192.859450e-07
1.684611.5845162.994794e-07
1.693281.5844123.130835e-07
1.701991.5843073.267575e-07
1.710741.5842013.405018e-07
1.719541.5840953.543169e-07
1.728381.5839883.682029e-07
1.737271.583883.821604e-07
1.74621.5837713.961897e-07
1.755181.5836614.102911e-07
1.764211.583554.244650e-07
1.773281.5834384.387118e-07
1.78241.5833264.530319e-07
1.791571.5832124.674256e-07
1.81.5831074.806700e-07
1.800781.5830974.825677e-07
1.810041.5829825.051264e-07
1.819351.5828665.278011e-07
1.82871.5827485.505925e-07
1.838111.582635.735010e-07
1.847561.582515.965273e-07
1.857061.582396.196721e-07
1.866611.5822686.429359e-07
1.876211.5821456.663193e-07
1.885861.5820226.898230e-07
1.895561.5818977.134475e-07
1.905311.5817717.371935e-07
1.915111.5816447.610617e-07
1.924951.5815167.850526e-07
1.934851.5813868.091669e-07
1.94481.5812568.334051e-07
1.954811.5811248.577681e-07
1.964861.5809918.822563e-07
1.974961.5808579.068705e-07
1.985121.5807219.316112e-07
1.995331.5805849.564792e-07
21.5805229.678600e-07
2.005591.5804461.008947e-06
2.01591.5803071.084768e-06
2.026271.5801671.160978e-06
2.036691.5800251.237580e-06
2.047161.5798811.314576e-06
2.057691.5797371.391968e-06
2.068271.5795911.469758e-06
2.078911.5794431.547948e-06
2.08961.5792941.626541e-06
2.100351.5791441.705537e-06
2.111151.5789921.784940e-06
2.122011.5788391.864750e-06
2.132921.5786841.944972e-06
2.143891.5785282.025606e-06
2.154911.578372.106654e-06
2.165991.578212.188120e-06
2.177131.5780492.270004e-06
2.188331.5778872.352310e-06
2.199581.5777222.435038e-06
2.21.5777162.438100e-06
2.21091.5775562.499140e-06
2.222261.5773892.562840e-06
2.233691.5772192.626867e-06
2.245181.5770482.691223e-06
2.256731.5768762.755910e-06
2.268331.5767012.820930e-06
2.281.5765252.886284e-06
2.291721.5763462.951975e-06
2.303511.5761663.018003e-06
2.315351.5759853.084370e-06
2.327261.5758013.151079e-06
2.339231.5756153.218132e-06
2.351261.5754283.285528e-06
2.363351.5752383.353272e-06
2.37551.5750463.421364e-06
2.387721.5748533.489806e-06
2.41.5746573.558600e-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
—