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Optical constants

Refractive index of PBM1 (OHARA)

PBM1: n,k 0.3–2.4 µm

Data
formula 3 + 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 320-900 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.62588
Extinction coefficient k
9.36134e-09
Permittivity ε1
2.64348
Permittivity ε2
3.04408e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
35.701
Chromatic dispersion dn/dλ
-0.088835 µm⁻¹
Group index ng
1.67808
Group velocity dispersion
174.068 fs²/mm
Dispersion parameter D
-949.634 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

# PBM1 (OHARA): PBM1
ohara_pbm1 = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBM1", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbm1.range_nm)  # (300, 2400) nm
eps = ohara_pbm1.eps([633])  # complex permittivity

Downloads the original record once (pinned to the imported snapshot) and caches it.

Materials guide Open a sphere of it in Studio Quick start Ask the community

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

Polynomial (formula 3), λ in µm
n2=2.5743849−0.010002464⁢λ2.0+0.02166382⁢λ−2.0+0.0013463294⁢λ−4.0−8.3887231×10-5⁢λ−6.0+7.8154722×10-6⁢λ−8.0

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C12.5743849
C2-0.010002464
C32.0
C40.02166382
C5-2.0
C60.0013463294
C7-4.0
C8-8.3887231e-05
C9-6.0
C107.8154722e-06
C11-8.0

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 4.19e-06 0.0 0.0 0.0 0.0 0.0
nd
1.625882
Vd
35.700668
glass code
626357
glass status
preferred
density
value: 3650
thermal expansion
value: 8.9e-06, temperature range: 243 343; value: 9.7e-06, temperature range: 293 573
dPgF
0.0005
resistance
acid: 1.0; phosphate: 2.0

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 2.11e-06 K⁻¹ at 633 nm, dn/dT = 2.05e-06 K⁻¹ at 1310 nm, dn/dT = 2.04e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 320-900 nm only; k = 0 elsewhere in the n range 300-2400 nm

References

OHARA Zemax catalog 2017-11-30 (obtained from http://www.ohara-inc.co.jp)
See also OHARA glass data sheets

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 419 wavelengths, the same grid as the API and the library
CSV comma separated TXT tab separated YAML n, k Full database record original YAML All quantities CSV JSON metadata
PBM1 (OHARA), PBM1: n and k versus wavelength
λ (µm)nk
0.31.7275580
0.3015681.7254560
0.3031431.7234060
0.3047271.7214060
0.306321.7194540
0.307921.7175480
0.3095291.7156880
0.3111471.7138710
0.3127721.7120960
0.3144071.7103610
0.3160491.7086670
0.3177011.707010
0.3193611.7053910
0.321.7047799.961900e-06
0.321031.7038079.261670e-06
0.3227071.7022598.120966e-06
0.3243931.7007436.974302e-06
0.3260881.6992615.821646e-06
0.3277921.697814.662967e-06
0.3295051.696393.498234e-06
0.331.6959873.161700e-06
0.3312271.6952.921948e-06
0.3329581.6936382.583727e-06
0.3346971.6923042.243739e-06
0.3364461.6909981.901974e-06
0.3382041.6897181.558424e-06
0.3399711.6884641.213078e-06
0.341.6884441.207500e-06
0.3417481.6872341.093053e-06
0.3435341.6860299.761303e-07
0.3453291.6848478.585962e-07
0.3471331.6836877.404479e-07
0.3489471.6825516.216823e-07
0.351.6819035.527300e-07
0.350771.6814355.309665e-07
0.3526031.6803414.791791e-07
0.3544461.6792664.271211e-07
0.3562981.6782123.747911e-07
0.3581591.6771773.221876e-07
0.361.6761772.701800e-07
0.3600311.6761612.698033e-07
0.3619121.6751632.468050e-07
0.3638031.6741832.236866e-07
0.3657041.673222.004474e-07
0.3676151.6722741.770868e-07
0.3695361.6713451.536041e-07
0.371.6711231.479300e-07
0.3714671.6704311.401995e-07
0.3734081.6695331.299697e-07
0.3753591.6686511.196863e-07
0.377321.6677831.093493e-07
0.3792921.666939.895824e-08
0.381.6666289.522600e-08
0.3812741.6660918.947278e-08
0.3832661.6652668.047420e-08
0.3852691.6644547.142861e-08
0.3872821.6636566.233575e-08
0.3893051.662875.319538e-08
0.391.6626045.005800e-08
0.391341.6620974.720731e-08
0.3933841.6613374.285588e-08
0.395441.6605883.848172e-08
0.3975061.6598513.408470e-08
0.3995831.6591252.966471e-08
0.41.6589812.877800e-08
0.4016711.6584112.777317e-08
0.403771.6577082.651125e-08
0.405881.6570152.524274e-08
0.4080011.6563332.396760e-08
0.4101331.6556612.268579e-08
0.4122761.6549992.139729e-08
0.414431.6543472.010205e-08
0.4165951.6537051.880005e-08
0.4187721.6530721.749124e-08
0.421.6527211.675300e-08
0.420961.6524491.679132e-08
0.423161.6518351.687908e-08
0.4253711.6512291.696731e-08
0.4275941.6506321.705599e-08
0.4298281.6500441.714514e-08
0.4320741.6494641.723475e-08
0.4343321.6488921.732483e-08
0.4366011.6483291.741539e-08
0.4388821.6477731.750641e-08
0.441.6475051.755100e-08
0.4411761.6472251.738175e-08
0.4434811.6466851.704991e-08
0.4457981.6461521.671634e-08
0.4481281.6456261.638102e-08
0.4504691.6451081.604395e-08
0.4528231.6445971.570512e-08
0.4551891.6440921.536452e-08
0.4575681.6435951.502214e-08
0.4599591.6431041.467797e-08
0.461.6430951.467200e-08
0.4623621.642621.429456e-08
0.4647781.6421421.390849e-08
0.4672061.641671.352041e-08
0.4696481.6412051.313029e-08
0.4721021.6407461.273814e-08
0.4745691.6402931.234394e-08
0.4770481.6398461.194768e-08
0.4795411.6394051.154934e-08
0.481.6393241.147600e-08
0.4820471.6389691.152502e-08
0.4845661.6385391.158534e-08
0.4870981.6381151.164599e-08
0.4896431.6376961.170694e-08
0.4922011.6372821.176822e-08
0.4947731.6368741.182982e-08
0.4973581.6364711.189173e-08
0.4999571.6360731.195398e-08
0.51.6360661.195500e-08
0.502571.635681.179092e-08
0.5051961.6352921.162324e-08
0.5078351.6349081.145468e-08
0.5104891.634531.128524e-08
0.5131561.6341561.111491e-08
0.5158381.6337871.094370e-08
0.5185331.6334231.077159e-08
0.5212431.6330631.059858e-08
0.5239661.6327071.042466e-08
0.5267041.6323561.024984e-08
0.5294561.6320091.007410e-08
0.5322231.6316669.897449e-09
0.5350041.6313279.719871e-09
0.5377991.6309939.541366e-09
0.5406091.6306629.361928e-09
0.5434341.6303369.181553e-09
0.5462741.6300139.000235e-09
0.5491281.6296958.817969e-09
0.551.6295988.762300e-09
0.5519981.629388.794124e-09
0.5548821.6290688.840077e-09
0.5577811.6287618.886270e-09
0.5606961.6284578.932705e-09
0.5636261.6281578.979382e-09
0.5665711.627869.026303e-09
0.5695311.6275679.073469e-09
0.5725071.6272779.120881e-09
0.5754981.626999.168542e-09
0.5785061.6267079.216451e-09
0.5815281.6264279.264611e-09
0.5845671.626159.313022e-09
0.5876221.6258769.361687e-09
0.5906921.6256069.410605e-09
0.5937791.6253399.459779e-09
0.5968811.6250749.509211e-09
0.61.6248139.558900e-09
0.6031351.6245549.933995e-09
0.6062871.6242991.031105e-08
0.6094551.6240461.069007e-08
0.6126391.6237961.107108e-08
0.615841.6235491.145408e-08
0.6190581.6233051.183907e-08
0.6222931.6230641.222608e-08
0.6255451.6228251.261511e-08
0.6288131.6225881.300618e-08
0.6320991.6223551.339929e-08
0.6354021.6221231.379445e-08
0.6387221.6218951.419167e-08
0.6420591.6216681.459098e-08
0.6454141.6214451.499236e-08
0.6487871.6212231.539585e-08
0.651.6211441.554100e-08
0.6521771.6210041.534992e-08
0.6555851.6207881.505078e-08
0.659011.6205731.475008e-08
0.6624541.6203611.444781e-08
0.6659151.6201511.414396e-08
0.6693951.6199431.383853e-08
0.6728921.6197381.353150e-08
0.6764091.6195351.322286e-08
0.6799431.6193331.291261e-08
0.6834961.6191341.260074e-08
0.6870671.6189371.228724e-08
0.6906571.6187421.197210e-08
0.6942661.6185491.165532e-08
0.6978941.6183571.133688e-08
0.71.6182481.115200e-08
0.7015411.6181681.107832e-08
0.7052061.6179811.090301e-08
0.7088911.6177951.072677e-08
0.7125951.6176111.054962e-08
0.7163191.617431.037154e-08
0.7200621.6172491.019253e-08
0.7238241.6170711.001259e-08
0.7276061.6168959.831702e-09
0.7314081.616729.649872e-09
0.735231.6165469.467091e-09
0.7390721.6163759.283356e-09
0.7429341.6162059.098660e-09
0.7468161.6160378.912999e-09
0.7507181.615878.726368e-09
0.7546411.6157058.538762e-09
0.7585841.6155418.350176e-09
0.7625471.6153798.160604e-09
0.7665321.6152187.970042e-09
0.7705371.6150597.778484e-09
0.7745641.6149017.585925e-09
0.7786111.6147457.392360e-09
0.7826791.614597.197783e-09
0.7867691.6144367.002190e-09
0.790881.6142846.805575e-09
0.7950121.6141336.607932e-09
0.7991671.6139836.409257e-09
0.81.6139546.369400e-09
0.8033421.6138356.396013e-09
0.807541.6136886.429434e-09
0.811761.6135426.463031e-09
0.8160011.6133986.496803e-09
0.8202651.6132546.530751e-09
0.8245511.6131126.564877e-09
0.828861.6129716.599181e-09
0.8331911.6128316.633664e-09
0.8375441.6126926.668328e-09
0.8419211.6125556.703172e-09
0.846321.6124186.738199e-09
0.8507421.6122836.773409e-09
0.8551871.6121486.808803e-09
0.8596561.6120156.844381e-09
0.8641481.6118826.880146e-09
0.8686631.6117516.916097e-09
0.8732021.611626.952236e-09
0.8777651.6114916.988565e-09
0.8823511.6113627.025083e-09
0.8869621.6112357.061791e-09
0.8915971.6111087.098692e-09
0.8962551.6109827.135785e-09
0.91.6108827.165600e-09
0.9009391.6108570
0.9056461.6107330
0.9103781.610610
0.9151351.6104870
0.9199171.6103650
0.9247241.6102450
0.9295561.6101250
0.9344131.6100050
0.9392951.6098870
0.9442041.6097690
0.9491371.6096520
0.9540971.6095350
0.9590821.6094190
0.9640931.6093040
0.9691311.609190
0.9741951.6090760
0.9792851.6089630
0.9844021.608850
0.9895461.6087380
0.9947171.6086260
0.9999141.6085160
1.005141.6084050
1.010391.6082950
1.015671.6081860
1.020981.6080770
1.026311.6079690
1.031681.6078610
1.037071.6077540
1.042491.6076470
1.047931.607540
1.053411.6074340
1.058911.6073290
1.064451.6072240
1.070011.6071190
1.07561.6070140
1.081221.606910
1.086871.6068060
1.092551.6067030
1.098261.60660
1.1041.6064970
1.109761.6063940
1.115561.6062920
1.121391.606190
1.127251.6060880
1.133141.6059870
1.139061.6058860
1.145011.6057840
1.1511.6056840
1.157011.6055830
1.163061.6054820
1.169131.6053820
1.175241.6052820
1.181381.6051820
1.187561.6050820
1.193761.6049820
1.21.6048830
1.206271.6047830
1.212571.6046840
1.218911.6045840
1.225281.6044850
1.231681.6043860
1.238121.6042860
1.244591.6041870
1.251091.6040880
1.257631.6039890
1.26421.603890
1.27081.603790
1.277441.6036910
1.284121.6035920
1.290831.6034920
1.297571.6033930
1.304351.6032930
1.311171.6031940
1.318021.6030940
1.324911.6029940
1.331831.6028940
1.338791.6027940
1.345781.6026940
1.352821.6025930
1.359891.6024930
1.366991.6023920
1.374131.6022910
1.381311.602190
1.388531.6020880
1.395791.6019870
1.403081.6018850
1.410411.6017830
1.417781.601680
1.425191.6015780
1.432641.6014750
1.440121.6013710
1.447651.6012680
1.455211.6011640
1.462821.6010590
1.470461.6009550
1.478141.600850
1.485871.6007440
1.493631.6006390
1.501441.6005320
1.509281.6004260
1.517171.6003190
1.525091.6002110
1.533061.6001040
1.541071.5999950
1.549131.5998860
1.557221.5997770
1.565361.5996670
1.573541.5995570
1.581761.5994460
1.590021.5993350
1.598331.5992230
1.606681.599110
1.615081.5989970
1.623521.5988840
1.6321.5987690
1.640531.5986540
1.64911.5985390
1.657721.5984230
1.666381.5983060
1.675091.5981890
1.683841.598070
1.692641.5979520
1.701481.5978320
1.710371.5977120
1.719311.5975910
1.72831.5974690
1.737331.5973470
1.74641.5972240
1.755531.59710
1.76471.5969750
1.773921.5968490
1.783191.5967230
1.792511.5965950
1.801881.5964670
1.811291.5963380
1.820761.5962080
1.830271.5960770
1.839831.5959450
1.849451.5958130
1.859111.5956790
1.868831.5955450
1.878591.5954090
1.888411.5952720
1.898271.5951350
1.908191.5949960
1.918161.5948570
1.928191.5947160
1.938261.5945740
1.948391.5944320
1.958571.5942880
1.96881.5941430
1.979091.5939960
1.989431.5938490
1.999831.5937010
2.010281.5935510
2.020781.59340
2.031341.5932480
2.041961.5930950
2.052631.592940
2.063351.5927840
2.074131.5926270
2.084971.5924690
2.095861.5923090
2.106821.5921480
2.117821.5919860
2.128891.5918220
2.140011.5916570
2.15121.591490
2.162441.5913220
2.173741.5911520
2.18511.5909820
2.196511.5908090
2.207991.5906350
2.219531.590460
2.231121.5902830
2.242781.5901040
2.25451.5899240
2.266281.5897420
2.278121.5895590
2.290031.5893740
2.301991.5891870
2.314021.5889990
2.326111.5888090
2.338271.5886170
2.350491.5884230
2.362771.5882280
2.375111.5880310
2.387521.5878320
2.41.5876310

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
—