Optical constants

Refractive index of PBH6 (OHARA)

PBH6: 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 360-900 nm only; k = 0 elsewhere in the n range 300-2400 nm.

At one wavelength

Range 0.3–2.4 µm
Refractive index n
1.80517
Extinction coefficient k
9.36134e-09
Permittivity ε1
3.25864
Permittivity ε2
3.37976e-08
Absorption coefficient α
0.00200201 cm⁻¹
Penetration depth δ = λ/(2πk)
9.98996e+09 nm
Abbe number Vd
25.435
Chromatic dispersion dn/dλ
-0.158623 µm⁻¹
Group index ng
1.89838
Group velocity dispersion
328.562 fs²/mm
Dispersion parameter D
-1792.48 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

# PBH6 (OHARA): PBH6
ohara_pbh6 = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBH6", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbh6.range_nm)  # (300, 2400) nm
eps = ohara_pbh6.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

Polynomial (formula 3), λ in µm
n2=3.120642−0.011286328⁢λ2.0+0.040543249⁢λ−2.0+0.0033876996⁢λ−4.0−0.00024180036⁢λ−6.0+2.7440285×10-5⁢λ−8.0

Valid from 0.3 to 2.4 µm.

Coefficients as stored
CiValue
C13.120642
C2-0.011286328
C32.0
C40.040543249
C5-2.0
C60.0033876996
C7-4.0
C8-0.00024180036
C9-6.0
C102.7440285e-05
C11-8.0

Comments and conditions

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 1.501e-05 0.0 0.0 0.0 0.0 0.0
nd
1.805177
Vd
25.435012
glass code
805254
glass status
preferred
density
value: 5190
thermal expansion
value: 8.1e-06, temperature range: 243 343; value: 9e-06, temperature range: 293 573
dPgF
0.0097
resistance
acid: 51.2; phosphate: 3.2

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 9.33e-06 K⁻¹ at 633 nm, dn/dT = 9.02e-06 K⁻¹ at 1310 nm, dn/dT = 8.98e-06 K⁻¹ at 1550 nm
Notes on the source data (kept exactly as published):
  • k data cover 360-900 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 415 wavelengths, the same grid as the API and the library
PBH6 (OHARA), PBH6: n and k versus wavelength
λ (µm)nk
0.32.0186350
0.3015682.0136310
0.3031432.0087660
0.3047272.0040360
0.306321.9994350
0.307921.994960
0.3095291.9906070
0.3111471.986370
0.3127721.9822470
0.3144071.9782340
0.3160491.9743260
0.3177011.9705210
0.3193611.9668140
0.321031.9632030
0.3227071.9596840
0.3243931.9562540
0.3260881.9529110
0.3277921.9496520
0.3295051.9464730
0.3312271.9433720
0.3329581.9403470
0.3346971.9373950
0.3364461.9345140
0.3382041.9317010
0.3399711.9289550
0.3417481.9262730
0.3435341.9236520
0.3453291.9210930
0.3471331.9185910
0.3489471.9161460
0.350771.9137560
0.3526031.9114180
0.3544461.9091320
0.3562981.9068960
0.3581591.9047080
0.361.9026026.323400e-06
0.3600311.9025676.312457e-06
0.3619121.9004725.644427e-06
0.3638031.898424.972905e-06
0.3657041.8964114.297875e-06
0.3676151.8944443.619318e-06
0.3695361.8925172.937215e-06
0.371.8920592.772400e-06
0.3714671.8906292.570689e-06
0.3734081.888782.303763e-06
0.3753591.8869672.035441e-06
0.377321.885191.765718e-06
0.3792921.8834481.494585e-06
0.381.8828321.397200e-06
0.3812741.8817391.322553e-06
0.3832661.8800641.205797e-06
0.3852691.8784211.088431e-06
0.3872821.8768089.704525e-07
0.3893051.8752268.518571e-07
0.391.8746928.111500e-07
0.391341.8736747.667995e-07
0.3933841.872156.991009e-07
0.395441.8706546.310486e-07
0.3975061.8691865.626406e-07
0.3995831.8677444.938753e-07
0.41.8674584.800800e-07
0.4016711.8663274.557628e-07
0.403771.8649364.252238e-07
0.405881.8635693.945252e-07
0.4080011.8622273.636662e-07
0.4101331.8609073.326460e-07
0.4122761.859613.014637e-07
0.414431.8583362.701185e-07
0.4165951.8570822.386095e-07
0.4187721.855852.069358e-07
0.421.8551671.890700e-07
0.420961.8546391.844206e-07
0.423161.8534481.737712e-07
0.4253711.8522761.630663e-07
0.4275941.8511231.523053e-07
0.4298281.849991.414882e-07
0.4320741.8488741.306145e-07
0.4343321.8477761.196840e-07
0.4366011.8466961.086964e-07
0.4388821.8456339.765141e-08
0.441.845129.224100e-08
0.4411761.8445879.007075e-08
0.4434811.8435578.581561e-08
0.4457981.8425428.153823e-08
0.4481281.8415447.723851e-08
0.4504691.8405617.291631e-08
0.4528231.8395936.857154e-08
0.4551891.8386396.420405e-08
0.4575681.83775.981375e-08
0.4599591.8367755.540051e-08
0.461.8367595.532400e-08
0.4623621.8358645.286864e-08
0.4647781.8349665.035714e-08
0.4672061.8340814.783252e-08
0.4696481.833214.529470e-08
0.4721021.8323514.274362e-08
0.4745691.8315044.017922e-08
0.4770481.830673.760141e-08
0.4795411.8298483.501013e-08
0.481.8296983.453300e-08
0.4820471.8290373.304001e-08
0.4845661.8282383.120266e-08
0.4870981.8274512.935572e-08
0.4896431.8266742.749912e-08
0.4922011.8259092.563282e-08
0.4947731.8251542.375678e-08
0.4973581.8244092.187092e-08
0.4999571.8236751.997522e-08
0.51.8236631.994400e-08
0.502571.8229511.936935e-08
0.5051961.8222371.878208e-08
0.5078351.8215321.819174e-08
0.5104891.8208371.759831e-08
0.5131561.8201521.700178e-08
0.5158381.8194761.640214e-08
0.5185331.8188091.579936e-08
0.5212431.8181511.519343e-08
0.5239661.8175011.458434e-08
0.5267041.8168611.397206e-08
0.5294561.8162281.335659e-08
0.5322231.8156051.273790e-08
0.5350041.8149891.211597e-08
0.5377991.8143811.149080e-08
0.5406091.8137821.086236e-08
0.5434341.813191.023064e-08
0.5462741.8126069.595611e-09
0.5491281.8120298.957268e-09
0.551.8118558.762300e-09
0.5519981.811468.794124e-09
0.5548821.8108988.840077e-09
0.5577811.8103438.886270e-09
0.5606961.8097968.932705e-09
0.5636261.8092558.979382e-09
0.5665711.8087219.026303e-09
0.5695311.8081949.073469e-09
0.5725071.8076749.120881e-09
0.5754981.807169.168542e-09
0.5785061.8066529.216451e-09
0.5815281.8061519.264611e-09
0.5845671.8056569.313022e-09
0.5876221.8051679.361687e-09
0.5906921.8046859.410605e-09
0.5937791.8042089.459779e-09
0.5968811.8037379.509211e-09
0.61.8032729.558900e-09
0.6031351.8028139.933995e-09
0.6062871.8023591.031105e-08
0.6094551.801911.069007e-08
0.6126391.8014671.107108e-08
0.615841.801031.145408e-08
0.6190581.8005981.183907e-08
0.6222931.8001711.222608e-08
0.6255451.7997491.261511e-08
0.6288131.7993321.300618e-08
0.6320991.798921.339929e-08
0.6354021.7985131.379445e-08
0.6387221.798111.419167e-08
0.6420591.7977131.459098e-08
0.6454141.797321.499236e-08
0.6487871.7969321.539585e-08
0.651.7967941.554100e-08
0.6521771.7965481.534992e-08
0.6555851.7961691.505078e-08
0.659011.7957941.475008e-08
0.6624541.7954231.444781e-08
0.6659151.7950571.414396e-08
0.6693951.7946951.383853e-08
0.6728921.7943371.353150e-08
0.6764091.7939831.322286e-08
0.6799431.7936341.291261e-08
0.6834961.7932881.260074e-08
0.6870671.7929461.228724e-08
0.6906571.7926081.197210e-08
0.6942661.7922741.165532e-08
0.6978941.7919441.133688e-08
0.71.7917541.115200e-08
0.7015411.7916171.117654e-08
0.7052061.7912941.123494e-08
0.7088911.7909741.129364e-08
0.7125951.7906581.135264e-08
0.7163191.7903461.141196e-08
0.7200621.7900371.147158e-08
0.7238241.7897311.153152e-08
0.7276061.7894291.159177e-08
0.7314081.789131.165233e-08
0.735231.7888341.171321e-08
0.7390721.7885411.177441e-08
0.7429341.7882521.183593e-08
0.7468161.7879651.189777e-08
0.7507181.7876821.195994e-08
0.7546411.7874021.202242e-08
0.7585841.7871241.208524e-08
0.7625471.786851.214838e-08
0.7665321.7865781.221185e-08
0.7705371.786311.227566e-08
0.7745641.7860441.233980e-08
0.7786111.7857811.240427e-08
0.7826791.785521.246908e-08
0.7867691.7852621.253423e-08
0.790881.7850071.259972e-08
0.7950121.7847551.266555e-08
0.7991671.7845051.273172e-08
0.81.7844551.274500e-08
0.8033421.7842571.255851e-08
0.807541.7840121.232431e-08
0.811761.783771.208888e-08
0.8160011.7835291.185222e-08
0.8202651.7832921.161433e-08
0.8245511.7830561.137519e-08
0.828861.7828231.113480e-08
0.8331911.7825921.089316e-08
0.8375441.7823631.065025e-08
0.8419211.7821371.040608e-08
0.846321.7819121.016063e-08
0.8507421.781699.913894e-09
0.8551871.781479.665871e-09
0.8596561.7812529.416552e-09
0.8641481.7810369.165931e-09
0.8686631.7808228.914000e-09
0.8732021.780618.660752e-09
0.8777651.78048.406182e-09
0.8823511.7801928.150281e-09
0.8869621.7799857.893043e-09
0.8915971.7797817.634461e-09
0.8962551.7795787.374527e-09
0.91.7794177.165600e-09
0.9009391.7793770
0.9056461.7791780
0.9103781.7789810
0.9151351.7787850
0.9199171.7785910
0.9247241.7783980
0.9295561.7782080
0.9344131.7780190
0.9392951.7778310
0.9442041.7776450
0.9491371.777460
0.9540971.7772770
0.9590821.7770960
0.9640931.7769150
0.9691311.7767370
0.9741951.7765590
0.9792851.7763830
0.9844021.7762080
0.9895461.7760350
0.9947171.7758630
0.9999141.7756920
1.005141.7755220
1.010391.7753540
1.015671.7751870
1.020981.7750210
1.026311.7748560
1.031681.7746920
1.037071.774530
1.042491.7743680
1.047931.7742080
1.053411.7740480
1.058911.773890
1.064451.7737320
1.070011.7735760
1.07561.773420
1.081221.7732660
1.086871.7731120
1.092551.7729590
1.098261.7728070
1.1041.7726560
1.109761.7725060
1.115561.7723570
1.121391.7722080
1.127251.772060
1.133141.7719130
1.139061.7717670
1.145011.7716210
1.1511.7714760
1.157011.7713320
1.163061.7711890
1.169131.7710460
1.175241.7709030
1.181381.7707620
1.187561.7706210
1.193761.770480
1.21.770340
1.206271.7702010
1.212571.7700620
1.218911.7699230
1.225281.7697850
1.231681.7696480
1.238121.7695110
1.244591.7693740
1.251091.7692380
1.257631.7691020
1.26421.7689670
1.27081.7688320
1.277441.7686970
1.284121.7685630
1.290831.7684290
1.297571.7682950
1.304351.7681610
1.311171.7680280
1.318021.7678950
1.324911.7677630
1.331831.767630
1.338791.7674980
1.345781.7673660
1.352821.7672340
1.359891.7671020
1.366991.766970
1.374131.7668390
1.381311.7667070
1.388531.7665760
1.395791.7664440
1.403081.7663130
1.410411.7661820
1.417781.7660510
1.425191.765920
1.432641.7657880
1.440121.7656570
1.447651.7655260
1.455211.7653950
1.462821.7652630
1.470461.7651320
1.478141.7650
1.485871.7648690
1.493631.7647370
1.501441.7646050
1.509281.7644730
1.517171.7643410
1.525091.7642080
1.533061.7640750
1.541071.7639420
1.549131.7638090
1.557221.7636760
1.565361.7635420
1.573541.7634080
1.581761.7632740
1.590021.7631390
1.598331.7630040
1.606681.7628690
1.615081.7627340
1.623521.7625980
1.6321.7624610
1.640531.7623240
1.64911.7621870
1.657721.7620490
1.666381.7619110
1.675091.7617730
1.683841.7616330
1.692641.7614940
1.701481.7613540
1.710371.7612130
1.719311.7610720
1.72831.760930
1.737331.7607870
1.74641.7606440
1.755531.7605010
1.76471.7603560
1.773921.7602120
1.783191.7600660
1.792511.759920
1.801881.7597730
1.811291.7596250
1.820761.7594770
1.830271.7593270
1.839831.7591770
1.849451.7590270
1.859111.7588750
1.868831.7587230
1.878591.7585690
1.888411.7584150
1.898271.758260
1.908191.7581050
1.918161.7579480
1.928191.757790
1.938261.7576310
1.948391.7574720
1.958571.7573110
1.96881.757150
1.979091.7569870
1.989431.7568230
1.999831.7566590
2.010281.7564930
2.020781.7563260
2.031341.7561580
2.041961.7559890
2.052631.7558190
2.063351.7556480
2.074131.7554750
2.084971.7553010
2.095861.7551260
2.106821.754950
2.117821.7547720
2.128891.7545940
2.140011.7544130
2.15121.7542320
2.162441.7540490
2.173741.7538650
2.18511.7536790
2.196511.7534930
2.207991.7533040
2.219531.7531140
2.231121.7529230
2.242781.752730
2.25451.7525360
2.266281.752340
2.278121.7521430
2.290031.7519440
2.301991.7517430
2.314021.7515410
2.326111.7513370
2.338271.7511310
2.350491.7509240
2.362771.7507150
2.375111.7505050
2.387521.7502920
2.41.7500780

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
—