Local cross-sections and energy efficiencies in the multiple electromagnetic/optical scattering by two perfect electrically-conducting cylindrical particles

References

• van de Hulst, H.C. Light Scattering by Small Particles, John Wiley and Sons, Inc.: New York, 1957.
   Google Scholar
• Brillouin, L. The Scattering Cross Section of Spheres for Electromagnetic Waves. J. Appl. Phys. 1949, 20, 1110–1125. doi: 10.1063/1.1698280
   Web of Science ®Google Scholar
• Wick, G.C. A Theorem on Cross-sections. Phys. Rev. 1949, 75, 1459–1460. doi: 10.1103/PhysRev.75.738
   Google Scholar
• Lax, M. On A Well-known Cross-section Theorem. Phys. Rev. 1950, 78, 306–307.
   Google Scholar
• Marengo, E.A. A New Theory of the Generalized Optical Theorem in Anisotropic Media. IEEE Trans. Antennas Propagation 2013, 61, 2164–2179. doi: 10.1109/TAP.2012.2233702
   Web of Science ®Google Scholar
• Mitri, F.G. Scattering Cross-section of A Cylindrical Conducting Particle Illuminated by Electromagnetic Plane Waves Near A Conducting Quarter-space. J. Quant. Spectrosc. Radiat. Transf. 2018, 215, 77–83. doi: 10.1016/j.jqsrt.2018.05.003
   Web of Science ®Google Scholar
• Mitri, F.G. Intrinsic Acoustical Cross Sections in the Multiple Scattering by A Pair of Rigid Cylindrical Particles in 2D. J. Phys. D Appl. Phys. 2017, 50, 325601. doi: 10.1088/1361-6463/aa7a91
   Web of Science ®Google Scholar
• Mitri, F.G. Extrinsic Extinction Cross-section in the Multiple Acoustic Scattering by Fluid Particles. J. Appl. Phys. 2017, 121, 144904. doi: 10.1063/1.4980117
   Web of Science ®Google Scholar
• Mitri, F.G. Extinction Cross-section Suppression and Active Acoustic Invisibility Cloaking. J. Phys. D Appl. Phys. 2017, 50, 41LT01. doi: 10.1088/1361-6463/aa88fa
   Web of Science ®Google Scholar
• Mitri, F.G. Extinction Cross-section Cancellation of A Cylindrical Radiating Active Source Near A Rigid Corner and Acoustic Invisibility. J. Appl. Phys. 2017, 122, 174901. doi: 10.1063/1.5002100
   Web of Science ®Google Scholar
• Mitri, F.G. Extrinsic and Intrinsic Acoustical Cross-Sections for A Viscous Fluid Particle Near A Planar Rigid Boundary: Circular Cylinder Example. J Phys Commun. 2017, 1, 055015. doi: 10.1088/2399-6528/aa969d
   Web of Science ®Google Scholar
• Mackowski, D.W. Calculation of Total Cross Sections of Multiple-sphere Clusters. J.Opt. Soc. Am. A 1994, 11, 2851–2861. doi: 10.1364/JOSAA.11.002851
   Google Scholar
• Foldy, L.L. The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers. Phys. Rev. 1945, 67, 107–119. doi: 10.1103/PhysRev.67.107
   Web of Science ®Google Scholar
• Twersky, V. Multiple Scattering of Radiation by an Arbitrary Planar Configuration of Parallel Cylinders and by Two Parallel Cylinders. J. Appl. Phys. 1952, 23, 407–414. doi: 10.1063/1.1702220
   Web of Science ®Google Scholar
• Zitron, N.; Karp, S.N. Higher-order Approximations in Multiple Scattering. I. Two-dimensional Scalar Case. J. Math. Phys. 1961, 2, 394–402. doi: 10.1063/1.1703725
   Google Scholar
• Ivanov, E. A. Diffraction of Electromagnetic waves on Two Bodies; NASA Technical Translation F-597: Nauka i Tekhnika Press, Minsk, 1968, 1970.
   Google Scholar
• Schwartz, L.; Bansil, A. Optical Theorem and Multiple-scattering Theory. Electronic States in Substitutional Alloys. Phys. Rev. B 1978, 18, 1702–1713. doi: 10.1103/PhysRevB.18.1702
   Web of Science ®Google Scholar
• Lagendijk, A.; van Tiggelen, B.A. Resonant Multiple Scattering of Light. Phys. Rep. 1996, 270, 143–215. doi: 10.1016/0370-1573(95)00065-8
   Web of Science ®Google Scholar
• Carney, P.S.; Wolf, E.; Agarwal, G.S. Statistical Generalizations of the Optical Cross-section Theorem with Application to Inverse Scattering. J. Opt. Soc. Am. A 1997, 14, 3366–3371. doi: 10.1364/JOSAA.14.003366
   Google Scholar
• Torrungrueng, D.; Ungan, B.; Johnson, J.T. Optical Theorem for Electromagnetic Scattering by A Three-dimensional Scatterer in the Presence of A Lossless Half Space. IEEE Geosci. Remote Sens. Lett. 2004, 1, 131–135. doi: 10.1109/LGRS.2003.823295
   Web of Science ®Google Scholar
• Lytle II, D.R.; Carney, P.S.; Schotland, J.C.; Wolf, E. Generalized Optical Theorem for Reflection, Transmission, and Extinction of Power for Electromagnetic Fields. Phys. Rev. E 2005, 71, 056610. doi: 10.1103/PhysRevE.71.056610
   Web of Science ®Google Scholar
• Mishchenko, M.I.; Travis, L.D.; Lacis, A.A. Multiple scattering of light by particles: Radiative Transfer and Coherent Backscattering, Cambridge University Press: Cambridge, 2006.
   Google Scholar
• Durant, S.; Calvo-Perez, O.; Vukadinovic, N.; Greffet, J.-J. Light Scattering by A Random Distribution of Particles Embedded in Absorbing Media: Diagrammatic Expansion of the Extinction Coefficient. J. Opt. Soc. Am. A 2007, 24, 2943–2952. doi: 10.1364/JOSAA.24.002943
   Google Scholar
• Berg, M.J.; Sorensen, C.M.; Chakrabarti, A. Extinction and the Optical Theorem. Part II. Multiple Particles. Journal of the Optical Society of America A 2008, 25, 1514–1520. doi: 10.1364/JOSAA.25.001514
   Google Scholar
• Mishchenko, M.I. Gustav Mie and the Fundamental Concept of Electromagnetic Scattering by Particles: A Perspective. J. Quant. Spectrosc. Radiat. Transf. 2009, 110, 1210–1222. doi: 10.1016/j.jqsrt.2009.02.002
   Web of Science ®Google Scholar
• Small, A.; Fung, J.; Manoharan, V.N. Generalization of the Optical Theorem for Light Scattering From A Particle at A Planar Interface. J. Opt. Soc. Am. A 2013, 30, 2519–2525. doi: 10.1364/JOSAA.30.002519
   Google Scholar
• Olaofe, G.O. Scattering by Two Cylinders. Radio Sci. 1970, 5, 1351–1360. doi: 10.1029/RS005i011p01351
   Web of Science ®Google Scholar
• Olaofe, G.O. Scattering by an Arbitrary Configuration of Parallel Circular Cylinders. J. Opt. Soc. Am. 1970, 60, 1233–1236. doi: 10.1364/JOSA.60.001233
   Web of Science ®Google Scholar
• Lee, S.C. Dependent Scattering of an Obliquely Incident Plane Wave by A Collection of Parallel Cylinders. J. Appl. Phys. 1990, 68, 4952–4957. doi: 10.1063/1.347080
   Web of Science ®Google Scholar
• Lee, S.-C. Scattering of Polarized Radiation by an Arbitrary Collection of Closely Spaced Parallel Nonhomogeneous Tilted Cylinders. J. Opt. Soc. Am. A 1996, 13, 2256–2265. doi: 10.1364/JOSAA.13.002256
   Google Scholar
• Lee, S.-C. Optical Extinction by Closely Spaced Parallel Cylinders Inside A Finite Dielectric Slab. J. Opt. Soc. Am. A 2006, 23, 2219–2232. doi: 10.1364/JOSAA.23.002219
   Google Scholar
• Mitri, F.G. Reply to: Section IV. G. Mitri’s Cross Sections” in the Paper Titled “Multiple Scattering and Scattering Cross Sections. J. Acoust. Soc. Am. 2018, 143, 995. https://arxiv.org/abs/1802.09173 2018, 1–5. doi: 10.1121/1.5024361
   PubMed Web of Science ®Google Scholar
• Mitri, F.G. Pushing, Pulling and Electromagnetic Radiation Force Cloaking by A Pair of Conducting Cylindrical Particles. Journal of Quantitative Spectroscopy and Radiative Transfer 2018, 206, 142–150. doi: 10.1016/j.jqsrt.2017.11.007
   Web of Science ®Google Scholar
• Scharstein, R. W. Acoustic scattering from two parallel soft cylinders, Southeastcon '92, Proceedings., IEEE 1992, 532, 534-537.
   Google Scholar
• Stratton, J.A. Electromagnetic Theory, McGraw-Hill: New York, 1941.
   Google Scholar
• Barton, J.P. Internal and Near-surface Electromagnetic Fields for an Infinite Cylinder Illuminated by an Arbitrary Focused Beam. J. Opt. Soc. Am. A 1999, 16, 160–166. doi: 10.1364/JOSAA.16.000160
   Google Scholar
• Mitri, F.G. Radiation Force and Torque of Light-sheets. J. Opt 2017, 19, 065403. doi: 10.1088/2040-8986/aa6c73
   Web of Science ®Google Scholar
• Abramowitz, M.; Stegun, I.A. Handbook of Mathematical Functions: With Formulas, Graphs, and Mathematical Tables, Dover Publications: New York, 1965.
   Google Scholar
• Mitri, F.G. Generalization of the Optical Theorem for Monochromatic Electromagnetic Beams of Arbitrary Wavefront in Cylindrical Coordinates. J. Quant. Spectrosc. Radiat. Transf. 2015, 166, 81–92. doi: 10.1016/j.jqsrt.2015.07.016
   Web of Science ®Google Scholar
• Franz, W.; Klante, K. Diffraction by Surfaces of Variable Curvature. IRE Trans. Antenn. Prop. 1959, 7, 68–70. doi: 10.1109/TAP.1959.1144777
   Google Scholar
• Poynting, J.H. XV. On the Transfer of Energy in the Electromagnetic Field. Philos. Trans. R. Soc. Lond. 1884, 175, 343–361. doi: 10.1098/rstl.1884.0016
   Google Scholar
• Feynman, R.P.; Leighton, R.B.; Sands, M.L. The Feynman Lectures on Physics, Addison-Wesley: Reading, 1963.
   Google Scholar