Optical constants

Refractive index of PBH56 (OHARA)

PBH56: n,k 0.36–2.4 µm

Data
formula 2 + tabulated k
Range
0.36–2.4 µm
Temperature
298 K
Licence
CC0-1.0

Plot

Click the plot to set the calculator wavelength.

At one wavelength

Range 0.36–2.4 µm
Refractive index n
1.84138
Extinction coefficient k
8.27428e-09
Permittivity ε1
3.39069
Permittivity ε2
3.04723e-08
Absorption coefficient α
0.00176953 cm⁻¹
Penetration depth δ = λ/(2πk)
1.13024e+10 nm
Abbe number Vd
24.559
Chromatic dispersion dn/dλ
-0.17145 µm⁻¹
Group index ng
1.94213
Group velocity dispersion
355.919 fs²/mm
Dispersion parameter D
-1941.73 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

# PBH56 (OHARA): PBH56
ohara_pbh56 = ls.fetch_refractiveindex("specs", "OHARA-optical", "PBH56", ref="c5c2f188e848453def5970e347399d653df2ffc2")
print(ohara_pbh56.range_nm)  # (360, 2400) nm
eps = ohara_pbh56.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=1.78552677λ2λ2−0.0136046011+0.446684871λ2λ2−0.0570875152+1.21749317λ2λ2−129.967536

Valid from 0.36 to 2.4 µm.

Coefficients as stored
CiValue
C10.0
C21.78552677
C30.0136046011
C40.446684871
C50.0570875152
C61.21749317
C7129.967536

Comments and conditions

Improved XMT at 365

Conditions

temperature
298 K

Properties

thermal dispersion
type: formula A, coefficients: 7.53e-06 1.29e-08 -3.4e-11 1.93e-06 1.53e-09 0.268
nd
1.841390
Vd
24.559059
glass code
841246
glass status
special
density
value: 5350
thermal expansion
value: 8.4e-06, temperature range: 243 343; value: 9.6e-06, temperature range: 293 573
dPgF
0.011

Thermo-optic coefficient

  • Schott thermal-dispersion model (reference temperature 298.0 K): dn/dT = 8.64e-06 K⁻¹ at 633 nm, dn/dT = 5.42e-06 K⁻¹ at 1310 nm, dn/dT = 5.19e-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 422 wavelengths, the same grid as the API and the library
PBH56 (OHARA), PBH56: n and k versus wavelength
λ (µm)nk
0.361.9473264.337700e-06
0.3617161.9452383.834947e-06
0.363441.943193.329798e-06
0.3651721.9411832.822242e-06
0.3669121.9392132.312266e-06
0.3686611.9372811.799860e-06
0.371.9358321.407500e-06
0.3704181.9353851.370703e-06
0.3721831.9335241.215299e-06
0.3739571.9316981.059154e-06
0.375741.9299059.022648e-07
0.377531.9281457.446280e-07
0.379331.9264165.862399e-07
0.381.9257815.272300e-07
0.3811381.9247174.940165e-07
0.3829541.9230494.409782e-07
0.3847791.921413.876871e-07
0.3866131.9197993.341421e-07
0.3884561.9182162.803418e-07
0.391.9169162.352500e-07
0.3903071.916662.318133e-07
0.3921671.9151312.109920e-07
0.3940361.9136271.900715e-07
0.3959141.9121481.690513e-07
0.3978011.9106941.479309e-07
0.3996971.9092641.267098e-07
0.41.9090381.233200e-07
0.4016021.9078571.174878e-07
0.4035161.9064721.105202e-07
0.4054391.905111.035193e-07
0.4073721.903779.648502e-08
0.4093131.9024518.941725e-08
0.4112641.9011538.231579e-08
0.4132241.8998757.518048e-08
0.4151931.8986176.801117e-08
0.4171721.8973796.080769e-08
0.4191611.896165.356987e-08
0.421.8956525.051400e-08
0.4211581.8949594.921732e-08
0.4231661.8937764.697021e-08
0.4251821.8926114.471239e-08
0.4272091.8914644.244381e-08
0.4292451.8903344.016442e-08
0.4312911.889223.787417e-08
0.4333461.8881233.557299e-08
0.4354111.8870423.326086e-08
0.4374871.8859773.093770e-08
0.4395721.8849272.860347e-08
0.441.8847142.812400e-08
0.4416671.8838932.730939e-08
0.4437721.8828732.628058e-08
0.4458871.8818682.524686e-08
0.4480121.8808772.420822e-08
0.4501471.8798992.316463e-08
0.4522921.8789362.211606e-08
0.4544481.8779862.106250e-08
0.4566141.8770492.000391e-08
0.458791.8761261.894028e-08
0.461.875621.834900e-08
0.4609771.8752151.820057e-08
0.4631741.8743161.786674e-08
0.4653811.873431.753131e-08
0.4675991.8725551.719428e-08
0.4698281.8716931.685565e-08
0.4720671.8708421.651540e-08
0.4743171.8700031.617353e-08
0.4765781.8691741.583004e-08
0.4788491.8683571.548490e-08
0.481.8679481.531000e-08
0.4811311.867551.489462e-08
0.4834241.8667541.405257e-08
0.4857281.8659691.320650e-08
0.4880431.8651941.235641e-08
0.4903691.8644281.150226e-08
0.4927061.8636731.064404e-08
0.4950551.8629279.781729e-09
0.4974141.8621918.915309e-09
0.4997851.8614658.044760e-09
0.51.8613997.965700e-09
0.5021671.8607477.810275e-09
0.504561.8600397.638592e-09
0.5069651.859347.466091e-09
0.5093811.8586497.292767e-09
0.5118091.8579677.118618e-09
0.5142481.8572946.943638e-09
0.5166991.8566296.767824e-09
0.5191611.8559726.591173e-09
0.5216361.8553236.413679e-09
0.5241221.8546836.235340e-09
0.526621.854056.056151e-09
0.529131.8534255.876107e-09
0.5316521.8528075.695206e-09
0.5341851.8521975.513442e-09
0.5367311.8515945.330812e-09
0.5392891.8509995.147312e-09
0.541861.8504114.962937e-09
0.5444421.8498294.777684e-09
0.5470371.8492554.591547e-09
0.5496441.8486884.404524e-09
0.551.8486114.379000e-09
0.5522641.8481274.613525e-09
0.5548961.8475734.886205e-09
0.5575411.8470255.160184e-09
0.5601981.8464845.435469e-09
0.5628681.8459495.712066e-09
0.565551.845425.989982e-09
0.5682461.8448986.269221e-09
0.5709541.8443816.549792e-09
0.5736751.8438716.831700e-09
0.5764091.8433667.114951e-09
0.5791561.8428677.399553e-09
0.5819171.8423747.685511e-09
0.584691.8418877.972832e-09
0.5874771.8414058.261522e-09
0.5902771.8409288.551588e-09
0.593091.8404578.843036e-09
0.5959171.8399919.135874e-09
0.5987571.8395319.430107e-09
0.61.8393319.558900e-09
0.601611.8390759.584542e-09
0.6044781.8386259.630195e-09
0.6073591.8381799.676065e-09
0.6102531.8377399.722154e-09
0.6131621.8373039.768463e-09
0.6160841.8368739.814992e-09
0.619021.8364469.861744e-09
0.6219711.8360259.908718e-09
0.6249351.8356089.955915e-09
0.6279131.8351961.000334e-08
0.6309061.8347881.005099e-08
0.6339131.8343851.009886e-08
0.6369341.8339861.014697e-08
0.639971.8335911.019530e-08
0.643021.8332011.024386e-08
0.6460851.8328151.029266e-08
0.6491641.8324331.034169e-08
0.651.832331.035500e-08
0.6522581.8320551.039099e-08
0.6553661.831681.044054e-08
0.658491.831311.049033e-08
0.6616281.8309441.054036e-08
0.6647821.8305821.059062e-08
0.667951.8302231.064112e-08
0.6711331.8298681.069187e-08
0.6743321.8295171.074285e-08
0.6775461.829171.079408e-08
0.6807751.8288261.084556e-08
0.684021.8284861.089727e-08
0.687281.8281491.094924e-08
0.6905551.8278161.100145e-08
0.6938471.8274861.105391e-08
0.6971531.8271591.110663e-08
0.71.8268821.115200e-08
0.7004761.8268361.115958e-08
0.7038151.8265161.121277e-08
0.7071691.8261991.126620e-08
0.7105391.8258861.131989e-08
0.7139261.8255751.137384e-08
0.7173281.8252681.142804e-08
0.7207471.8249641.148250e-08
0.7241821.8246631.153722e-08
0.7276341.8243651.159220e-08
0.7311021.8240691.164745e-08
0.7345861.8237771.170295e-08
0.7380871.8234881.175873e-08
0.7416051.8232011.181476e-08
0.7451391.8229171.187107e-08
0.7486911.8226361.192764e-08
0.7522591.8223581.198448e-08
0.7558441.8220821.204160e-08
0.7594461.8218091.209898e-08
0.7630661.8215391.215664e-08
0.7667031.8212711.221458e-08
0.7703571.8210061.227279e-08
0.7740281.8207431.233127e-08
0.7777171.8204831.239004e-08
0.7814241.8202251.244909e-08
0.7851481.819971.250841e-08
0.788891.8197171.256802e-08
0.792651.8194661.262792e-08
0.7964281.8192181.268810e-08
0.81.8189871.274500e-08
0.8002241.8189721.273252e-08
0.8040381.8187291.251972e-08
0.807871.8184871.230592e-08
0.811721.8182481.209109e-08
0.8155891.8180111.187525e-08
0.8194761.8177761.165837e-08
0.8233811.8175431.144046e-08
0.8273061.8173121.122151e-08
0.8312491.8170841.100152e-08
0.835211.8168571.078048e-08
0.8391911.8166331.055838e-08
0.8431911.816411.033523e-08
0.8472091.816191.011101e-08
0.8512471.8159719.885725e-09
0.8553041.8157549.659366e-09
0.859381.8155399.431929e-09
0.8634761.8153269.203407e-09
0.8675921.8151158.973796e-09
0.8717271.8149068.743090e-09
0.8758811.8146988.511286e-09
0.8800561.8144928.278376e-09
0.884251.8142888.044356e-09
0.8884641.8140867.809221e-09
0.8926991.8138857.572965e-09
0.8969531.8136867.335584e-09
0.91.8135457.165600e-09
0.9012281.8134897.175378e-09
0.9055241.8132937.209573e-09
0.9098391.8130997.243930e-09
0.9141761.8129067.278452e-09
0.9185331.8127157.313137e-09
0.922911.8125267.347989e-09
0.9273091.8123387.383006e-09
0.9317281.8121527.418190e-09
0.9361691.8119677.453542e-09
0.9406311.8117837.489062e-09
0.9451141.8116017.524752e-09
0.9496181.811427.560611e-09
0.9541441.8112417.596642e-09
0.9586921.8110637.632844e-09
0.9632611.8108877.669219e-09
0.9678521.8107117.705767e-09
0.9724641.8105387.742490e-09
0.9770991.8103657.779387e-09
0.9817561.8101947.816460e-09
0.9864351.8100247.853710e-09
0.9911371.8098557.891138e-09
0.995861.8096877.928744e-09
11.8095427.961700e-09
1.000611.8095217.966530e-09
1.005381.8093558.004500e-09
1.010171.8091918.042650e-09
1.014981.8090298.080983e-09
1.019821.8088678.119499e-09
1.024681.8087068.158198e-09
1.029561.8085478.197081e-09
1.034471.8083888.236150e-09
1.03941.8082318.275405e-09
1.044351.8080748.314847e-09
1.049331.8079198.354477e-09
1.054331.8077658.394296e-09
1.059361.8076118.434305e-09
1.064411.8074598.474504e-09
1.069481.8073088.514895e-09
1.074581.8071578.555479e-09
1.07971.8070088.596256e-09
1.084841.8068598.637227e-09
1.090011.8067128.678393e-09
1.095211.8065658.719756e-09
1.100431.8064198.761316e-09
1.105671.8062748.803074e-09
1.110941.806138.845031e-09
1.116241.8059868.887188e-09
1.121561.8058448.929545e-09
1.12691.8057028.972105e-09
1.132271.8055619.014868e-09
1.137671.8054219.057834e-09
1.143091.8052819.101005e-09
1.148541.8051429.144382e-09
1.154011.8050049.187966e-09
1.159511.8048679.231757e-09
1.165041.8047319.275757e-09
1.170591.8045959.319967e-09
1.176171.8044599.364387e-09
1.181781.8043259.409020e-09
1.187411.8041919.453865e-09
1.193071.8040579.498923e-09
1.198761.8039259.544197e-09
1.21.8038969.554100e-09
1.204471.8037931.033846e-08
1.210211.8036611.134589e-08
1.215981.803531.235812e-08
1.221771.80341.337517e-08
1.22761.803271.439707e-08
1.233451.8031411.542385e-08
1.239331.8030121.645551e-08
1.245231.8028841.749209e-08
1.251171.8027561.853362e-08
1.257131.8026281.958010e-08
1.263121.8025022.063158e-08
1.269141.8023752.168806e-08
1.275191.8022492.274958e-08
1.281271.8021242.381616e-08
1.287371.8019992.488782e-08
1.293511.8018742.596459e-08
1.299671.801752.704650e-08
1.305871.8016262.813356e-08
1.312091.8015022.922580e-08
1.318351.8013793.032324e-08
1.324631.8012563.142592e-08
1.330941.8011343.253385e-08
1.337291.8010113.364706e-08
1.343661.800893.476558e-08
1.350061.8007683.588942e-08
1.35651.8006473.701863e-08
1.362961.8005263.815321e-08
1.369461.8004053.929321e-08
1.375991.8002844.043863e-08
1.382541.8001644.158952e-08
1.389131.8000444.274589e-08
1.395751.7999244.390777e-08
1.41.7998474.465300e-08
1.402411.7998044.472973e-08
1.409091.7996854.494291e-08
1.415811.7995654.515711e-08
1.422551.7994464.537233e-08
1.429331.7993274.558858e-08
1.436151.7992084.580585e-08
1.442991.799094.602416e-08
1.449871.7989714.624351e-08
1.456781.7988524.646391e-08
1.463721.7987344.668536e-08
1.47071.7986164.690786e-08
1.477711.7984974.713142e-08
1.484751.7983794.735605e-08
1.491821.7982614.758175e-08
1.498931.7981434.780853e-08
1.506081.7980244.803638e-08
1.513261.7979064.826532e-08
1.520471.7977884.849536e-08
1.527721.797674.872649e-08
1.5351.7975524.895872e-08
1.542311.7974344.919206e-08
1.549661.7973154.942651e-08
1.557051.7971974.966207e-08
1.564471.7970794.989876e-08
1.571931.796965.013658e-08
1.579421.7968415.037553e-08
1.586951.7967235.061562e-08
1.594511.7966045.085686e-08
1.61.7965185.103200e-08
1.602111.7964855.262281e-08
1.609741.7963665.838460e-08
1.617421.7962466.417385e-08
1.625121.7961276.999070e-08
1.632871.7960077.583527e-08
1.640651.7958888.170769e-08
1.648471.7957688.760810e-08
1.656331.7956479.353664e-08
1.664221.7955279.949342e-08
1.672151.7954061.054786e-07
1.680121.7952851.114923e-07
1.688131.7951641.175347e-07
1.696181.7950421.236058e-07
1.704261.794921.297059e-07
1.712381.7947981.358351e-07
1.720541.7946761.419935e-07
1.728741.7945531.481812e-07
1.736981.794431.543985e-07
1.745261.7943071.606453e-07
1.753581.7941831.669219e-07
1.761941.7940591.732285e-07
1.770331.7939341.795651e-07
1.778771.7938091.859319e-07
1.787251.7936831.923290e-07
1.795771.7935581.987567e-07
1.81.7934952.019500e-07
1.804331.7934312.062984e-07
1.812931.7933052.149408e-07
1.821571.7931772.236245e-07
1.830251.793052.323495e-07
1.838971.7929212.411161e-07
1.847741.7927932.499244e-07
1.856541.7926642.587748e-07
1.865391.7925342.676673e-07
1.874281.7924032.766022e-07
1.883211.7922732.855797e-07
1.892191.7921412.946000e-07
1.901211.7920093.036633e-07
1.910271.7918763.127698e-07
1.919371.7917433.219197e-07
1.928521.7916093.311131e-07
1.937711.7914753.403504e-07
1.946951.791343.496318e-07
1.956231.7912043.589573e-07
1.965551.7910673.683273e-07
1.974921.790933.777420e-07
1.984331.7907923.872015e-07
1.993791.7906533.967062e-07
21.7905624.029500e-07
2.003291.7905144.135270e-07
2.012841.7903734.442252e-07
2.022431.7902324.750697e-07
2.032071.7900915.060613e-07
2.041751.7899485.372005e-07
2.051491.7898055.684882e-07
2.061261.789665.999249e-07
2.071091.7895156.315115e-07
2.080961.7893696.632487e-07
2.090881.7892226.951371e-07
2.100841.7890757.271775e-07
2.110851.7889267.593706e-07
2.120911.7887767.917171e-07
2.131021.7886268.242178e-07
2.141181.7884748.568733e-07
2.151381.7883228.896846e-07
2.161641.7881689.226522e-07
2.171941.7880149.557769e-07
2.182291.7878589.890595e-07
2.192691.7877021.022501e-06
2.21.7875911.046000e-06
2.203141.7875441.059515e-06
2.213641.7873851.104687e-06
2.224191.7872251.150074e-06
2.234791.7870641.195678e-06
2.245441.7869021.241499e-06
2.256151.7867391.287538e-06
2.26691.7865751.333796e-06
2.27771.7864091.380275e-06
2.288561.7862421.426976e-06
2.299471.7860741.473899e-06
2.310421.7859051.521046e-06
2.321441.7857341.568417e-06
2.33251.7855621.616015e-06
2.343621.7853891.663839e-06
2.354791.7852151.711891e-06
2.366011.7850391.760172e-06
2.377291.7848611.808683e-06
2.388621.7846831.857425e-06
2.41.7845031.906400e-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
—