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REVIEW 3 major objections 6 minor 35 references

Oblique Multiple Scattering by Gyrotropic Cylinders

T0 review · 3 major / 6 minor · reviewed 2026-08-07 · deepseek-v4-flash

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Pith's one-line read This paper develops a full-wave vectorial solver for oblique electromagnetic scattering by arrays of gyrotropic cylinders of arbitrary cross-section, and shows it enables broadband forward scattering in YIG ferrite configurations.

desk verdict New semi-analytical solver for oblique gyrotropic cylinder arrays is credible and useful, but the scattering-width normalization is off by 2π k0/kc and the application numbers need fixing. read the letter →

arxiv 2505.22432 v1 pith:6LUYLLKQ submitted 2025-05-28 physics.optics

Grigorios P. Zouros , Konstantinos Delimaris , Carsten Rockstuhl , Georgios D. Kolezas This is my paper
classification physics.optics
keywords gyrotropiccylindersmultiplescatteringobliqueincidenceextendedboundaryconditionmethodsuperpotentialscylindricalvectorwavefunctionsferritearraysforward
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper establishes a full-wave vectorial method for the 2.5-dimensional electromagnetic multiple-scattering problem: a plane wave hitting a collection of infinitely long, parallel cylinders at an oblique angle, where each cylinder can have a different cross-section and gyrotropic (gyroelectric and gyromagnetic) material response. The authors construct cylindrical vector wave functions from superpotentials (SUPER-CVWFs) to represent the field inside gyrotropic media, couple them to an extended boundary condition method for non-circular boundaries, and use vectorial Graf translation formulas to link the scatterers. They validate the solver against the analytical two-cylinder oblique-incidence solution and against COMSOL Multiphysics for gyroelectric and gyromagnetic arrays, reporting large CPU-time and memory reductions. Applied to yttrium-iron-garnet ferrite cylinders, the method shows that oblique incidence can bring electric and magnetic dipole resonances into overlap over a broad frequency band, producing forward scattering with strongly suppressed backward scattering, and that the bias field can tune this response. If correct, the method supplies a design and optimization tool for microwave, optical, and photonic scattering applications that exploit oblique incidence and anisotropy.

What carries the argument

The central object is the set of SUPER-CVWFs, cylindrical vector wave functions built from scalar superpotentials that satisfy a product of two Helmholtz equations with wavenumbers $\chi_1$ and $\chi_2$. These functions represent the coupled $E_z$--$H_z$ field inside a gyrotropic medium under oblique propagation, where the longitudinal components no longer obey homogeneous Helmholtz equations. The EBCM translates boundary fields into system matrices through contour integrals over each scatterer, while vectorial Graf's formulas move Hankel-function expansions between local coordinate frames; together they assemble the full multiple-scattering linear system for the unknown expansion coefficients.

What would settle it

Run the method on a strongly non-circular gyrotropic cylinder, say a crescent shape or an ellipse with aspect ratio 0.2, at $\theta_0 = 45^\circ$ and compare the predicted $Q_{\mathrm{sca}}/\lambda_0$, $Q_{\mathrm{ext}}/\lambda_0$, and scattering width with a high-resolution COMSOL simulation across the resonance band; if the curves diverge, the arbitrary-shape claim and the EBCM analytic-continuation premise fail for that class of geometries.

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Extended reading notes

Core claim

The central claim is that the oblique (2.5-D) multiple-scattering problem for an arbitrary collection of gyrotropic cylinders admits a full-wave vectorial solution built from three components: a superpotential-based expansion of the gyrotropic-region field into cylindrical vector wave functions, an EBCM treatment of non-circular boundaries, and Graf's formulas adapted to these vector wave functions for translating fields between local cylinder frames. On this basis the paper computes scattering and extinction cross-sections, scattering widths, and multipole decompositions for TE and TM oblique incidence, and validates them for isotropic, gyroelectric, and gyromagnetic configurations. The validation includes an analytical dimer benchmark and COMSOL comparisons for circular, elliptical, and rounded-triangular cross-sections in various array geometries. The paper further claims that oblique incidence can tailor the electric-dipole and magnetic-dipole resonances in YIG ferrite arrays so that they overlap across a wide frequency range, turning the structure into a broadband forward-scattering (Huygens-type) scatterer, with the external bias field controlling the operating frequency and the front-to-back ratio.

Load-bearing premise

The whole scheme leans on the EBCM's analytic continuation: the SUPER-CVWF expansion inside each cylinder must match the free-space expansion in the annular region between the inscribed and circumscribed circles, which can fail for strongly non-circular or high-contrast gyrotropic cylinders.

Editorial extensions

If this is right

  • Scattering and extinction spectra, scattering widths, and multipole decompositions become directly computable for arrays of non-circular gyrotropic cylinders under oblique TE and TM illumination.
  • The reported CPU-time and RAM advantages over COMSOL make parametric sweeps over frequency, incidence angle, and material parameters practical for design optimization.
  • Oblique incidence can be used as a tuning knob to bring electric and magnetic dipole resonances into overlap, converting a YIG cylinder or array into a broadband forward-scattering Huygens-type source.
  • The external magnetic bias $B_0$ provides a second tuning knob that shifts the overlap frequency $f_0$ and maximizes the front-to-back ratio, suggesting a switchable forward-scattering device.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The same SUPER-CVWF--EBCM machinery could be extended to cylinders with non-uniform cross-sections along $z$ (for example, stacked or tapered segments), since the 2.5-D ansatz already separates the $z$-dependence; this is not explored in the paper.
  • The demonstrated ED--MD overlap mechanism is likely not restricted to gyromagnetic YIG: any gyrotropic or magneto-optical cylinder whose electric and magnetic resonances can be shifted by anisotropy may show analogous broadband forward scattering under oblique excitation, so the design rule could transfer to optical frequencies with different materials.
  • A direct testable extension is to benchmark the solver against fully three-dimensional finite-length cylinder simulations to quantify when the infinite-length 2.5-D model departs from realistic finite rods, particularly for arrays where oblique incidence breaks translational symmetry at the ends.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 6 minor

Summary. The paper develops a full-wave vectorial method for 2.5-dimensional electromagnetic multiple scattering by arrays of gyrotropic (gyroelectric and gyromagnetic) cylinders of arbitrary cross-section under oblique plane-wave incidence. The method combines three elements: superpotential-based cylindrical vector wave functions (SUPER-CVWFs) to expand fields inside the gyrotropic cylinders, the extended boundary condition method (EBCM) to handle non-circular boundaries, and Graf-type translation formulas adapted to the CVWFs to couple scattered fields among cylinders. The authors validate the solver against the analytical solution for two isotropic cylinders at oblique incidence and against COMSOL Multiphysics for gyroelectric and gyromagnetic configurations, including circular, elliptical, and rounded-triangular cross-sections. They report CPU-time and memory advantages over COMSOL, and they apply the method to YIG ferrite arrays to demonstrate that oblique incidence and gyrotropic anisotropy can produce broadband overlapping electric-dipole/magnetic-dipole responses and strong forward scattering.

Significance. If the method is robust, it fills a genuine gap: previous multiple-scattering treatments of gyrotropic cylinders under oblique incidence were mostly limited to circular or periodic configurations, whereas this work handles non-circular scatterers with full vectorial coupling. The detailed derivation is coherent, the translation formulas are provided in appendices, and the validation set is broad, with excellent agreement against an independent analytical solution (isotropic case) and against COMSOL (anisotropic cases). The reported computational efficiency is also an asset for parameter sweeps and design. I checked the apparent normalization inconsistency raised in review regarding Eqs. (28)-(29) versus Eq. (27). Under the standard echo-width definition sigma(phi) = lim 2*pi*rho*|E_s|^2/|E_i|^2, the integrated echo width is 2*pi*(k0/k_c)*Q_sca, and substituting (29) into (28) yields exactly this relation; at normal incidence this reduces to the well-known factor 2*pi. The forward-scattering numbers in Figs. 9-10 are therefore not internally inconsistent with the validated Q_sca.

major comments (3)
  1. [Section V, Figs. 3-7] No convergence study or error metric is reported. All anisotropic examples use a fixed truncation limit M=6 (stated near Fig. 4), but the paper does not show how Q_sca and Q_ext vary with M, nor what tolerance is used for the linear system (24). Because the central claim is an 'exhaustively validated' full-wave solver, the reader needs evidence that the EBCM projections converge for the tested geometries, especially the non-circular ones. Please add a plot or table of Q_sca and Q_ext versus M for at least one gyroelectric and one gyromagnetic configuration, and state the convergence criterion used to fix M.
  2. [Section IV.A and validation] The novel gyrotropic SUPER-CVWF expansion (12)-(15) is validated only against COMSOL for anisotropic cases (Figs. 4-7); the analytical benchmark in Fig. 3 is for isotropic cylinders. An independent exact or semi-analytical check of the gyrotropic core is missing. A comparison for a single circular gyrotropic cylinder at oblique incidence, solvable by separation of variables or by the methods of Refs. [25] or [26], would substantially strengthen the claim that the SUPER-CVWFs are correct. Alternatively, an internal consistency check such as energy conservation, Q_sca <= Q_ext, should be reported for the gyrotropic cases.
  3. [Section IV.A, EBCM scope] The EBCM formulation relies on field expansions that are analytically continued from the inscribed and circumscribed circles of each scatterer (the Rayleigh hypothesis). This condition can fail for strongly non-circular or high-contrast gyrotropic cylinders. The paper tests only moderate shapes (elliptical aspect ratio 0.6 and a rounded triangle with h=0.1) and does not discuss this limitation. The abstract's phrase 'arbitrary shape' therefore overstates the demonstrated scope. Please add a discussion of the Rayleigh-hypothesis limitation and, if possible, a numerical test of a more elongated or higher-contrast shape accompanied by a convergence diagnostic.
minor comments (6)
  1. [Eq. (22)] The summation '∞X l=∞' should read '∞X l=−∞'; please correct this typo.
  2. [Eq. (27)] The definitions of A~_m and B~_m use the same phase factors for both TE and TM incidence. Since this is unusual compared with standard Mie-type conventions, please state explicitly that the phase convention is a normalization choice, or define separate factors if A and B are meant to have different phases.
  3. [Table I] The COMSOL comparison lacks details on the finite-element mesh parameters, solver tolerances, number of frequency points, and hardware. Without these, the CPU-time and memory savings are hard to interpret or reproduce.
  4. [Fig. 8 and Section VI] The multipole decomposition assignment (m=0 gives ED, m=±1 gives MD, m=±2 gives MQ) is non-standard for oblique incidence and should be justified with a derivation or a reference to the 2D multipole formalism of Ref. [6], since at oblique incidence the cylindrical multipole classification may mix polarizations.
  5. [Abstract and Section I] The phrase 'exhaustively validated' is stronger than the evidence presented. A more measured wording such as 'validated against analytical and COMSOL results for a variety of configurations' would better match the reported validation set.
  6. [Reference [31]] Reference [31] is cited with page numbers 'pp. 1-10, 2025', suggesting an early-access article. If a final paginated version is available, please cite it.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: linear-system solver validated against an analytical benchmark and COMSOL.

full rationale

The derivation is non-circular. The SUPER-CVWFs are constructed explicitly: the superpotential expansion in Eqs. (7)-(10) is combined with standard CVWFs in Eq. (11), and the coefficients are solved algebraically through Eq. (13) to produce Eq. (14). The multiple-scattering formulation in Eqs. (16)-(24) is a boundary-integral/EBCM system whose unknown coefficients are obtained by solving the linear system (24); the solutions are not reused as inputs that define the claimed outputs. Validation is external: Fig. 3 compares against the independent analytical solution [18], while Figs. 4-9 compare against COMSOL. The tensorial Green's-function/EBCM framework taken from the authors' own [31] is a building block, but it is not the conclusion of this paper, and its correctness in the present context is checked by the COMSOL comparisons; it therefore qualifies as independent support rather than a circular reduction. The multipole decomposition in the YIG application is a definitional grouping of the m-summation terms (m=0 ED, m=±1 MD, m=±2 MQ), not a fitted prediction. The optimization of theta0 and B0 to maximize the front-to-back FOM is an engineering design study, not a claim that the effect is predicted without those inputs. The reviewer concern about the normalization of Eqs. (28)-(29) is a consistency question, not a circularity: since FOM is a ratio of sigma values at two angles, any angle-independent normalization factor cancels. No step reduces by construction to its own input, and no load-bearing claim rests solely on a self-citation.

Assumptions & free parameters 2 free parameters · 6 assumptions · 0 invented entities

The derivation imports the superpotential representation from [28], the EBCM dyadic Green's function machinery from [31], and standard addition theorems for cylindrical functions. The only hand-chosen numbers are the truncation index and the application-specific theta0 and B0 values used to maximize the front-to-back ratio; no new physical entity is introduced. The completeness of the SUPER-CVWF basis is asserted rather than proved, which is the main axiomatic load.

free parameters (2)
  • Truncation index M = M = 6 for Fig. 4; values for other figures not reported
    Chosen by hand to balance accuracy and runtime; the reported spectra and speed depend on it.
  • Optimal incidence angle theta0 and bias field B0 (application) = theta0 = 23 degrees, B0 = 0.4 T (dimer); theta0 = 28 degrees, B0 = 0.1 T (array)
    Selected by sweeping parameters to maximize FOM = sigma(0 degrees)/sigma(180 degrees) in Section VI; these tune the demonstrated broadband forward scattering but are not fitted to external data.
assumptions (6)
  • domain assumption A gyrotropic medium with tensor (1) admits a scalar Hertz potential representation in which superpotentials U and V satisfy (nabla_t^2 + chi1^2)(nabla_t^2 + chi2^2)U = 0, and one superpotential U suffices.
    Inherited from Przezdziecki and Hurd [28] and used in Section III to build the SUPER-CVWF expansion; if incomplete, fields (12)-(15) would not span all physical solutions.
  • domain assumption The free-space integral representation (17) with the tensorial Green's function expansion from [31] is valid for the 2.5-D multiple-scattering problem.
    This is the backbone of the EBCM projection equations (22)-(24); it is imported from the authors' own earlier fiber analysis.
  • domain assumption The incident and scattered fields have the form F(rho)e^{i beta z} with beta fixed by the oblique angle, so the 2.5-D reduction applies.
    Stated in Section I and used throughout; requires infinitely long cylinders sharing a common z-axis.
  • standard math Graf's addition theorem for Bessel and Hankel functions applies componentwise to the CVWFs.
    Used in Appendix A to translate scattered fields between cylinder frames; standard analytic continuation result.
  • domain assumption The multipole map m=0 to electric dipole, m=+-1 to magnetic dipole, and m=+-2 to magnetic quadrupole is valid for the 2.5-D TM-incidence case.
    Taken from [2,6] and used in Section VI to interpret the ED-MD overlap and Huygens behavior.
  • domain assumption The YIG material model of Pozar [34] describes the ferrite cylinders.
    The application uses Lorentzian gyromagnetic parameters from [34]; no independent material characterization is given.

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Pith. "Pith review of Oblique Multiple Scattering by Gyrotropic Cylinders." pith.science (2026). https://pith.science/paper/6LUYLLKQ

@misc{pith2026250522432,
  author       = {Pith},
  title        = {Pith review of: Oblique Multiple Scattering by Gyrotropic Cylinders},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/6LUYLLKQ}},
  note         = {Machine review of arXiv:2505.22432}
}
abstract

In this work, we develop a full-wave vectorial solution for the 2.5-dimensional (2.5-D), i.e., at oblique plane wave incidence, electromagnetic (EM) multiple scattering (MS) by a collection of gyrotropic cylinders. All cylinders are infinitely long and share a common $z$-axis. However, each cylinder can have a different cross-section with an arbitrary shape and different gyrotropic material properties, i.e., both gyroelectric and gyromagnetic anisotropies are considered. The solution to the problem combines the following three elements: (i) development of a superpotentials-based cylindrical vector wave function (CVWF) expansion to express the EM field in the gyrotropic region; (ii) utilization of the extended boundary condition method (EBCM) to account for non-circular cylinders; (iii) use of Graf's formulas, specifically adapted for the CVWFs, to apply the EBCM at each cylinder. The developed theory allows us to calculate various scattering characteristics, including the scattering and extinction cross-sections and the multipole decomposition, enabling the design and in-depth investigation of various contemporary engineering and physics applications. The method is exhaustively validated with analytical techniques and COMSOL Multiphysics. The computational performance is also discussed. Finally, we study a potential microwave application of the MS by ferrite configurations, and demonstrate broadband forward scattering by introducing oblique incidence and anisotropy. Our method may be used to analyze, design, and optimize contemporary microwave, optical, and photonic applications by beneficially tailoring the scattering properties via oblique incidence and anisotropy.

Figures

Figures reproduced from arXiv: 2505.22432 by the authors.

Figure 1
Figure 1. MS under oblique illumination. (a) 3-D view, (b) 2-D view in the [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. (a) Circular dimer, (b) randomly placed circular scatterers, (c) elliptical [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 5
Figure 5. 98 1008 0.065 2.17 [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
Figures from the paper (5 more)
Figure 4
Figure 4. Figure 4: Qsca/λ0 and Qext/λ0 vs k0a for the circular dimer of [PITH_FULL_IMAGE:figures/full_fig_p006_4.png]
Figure 6
Figure 6. Figure 6: Qsca/λ0 and Qext/λ0 vs k0a for the elliptical non-symmetric dimer of [PITH_FULL_IMAGE:figures/full_fig_p007_6.png]
Figure 8
Figure 8. Figure 8: Qsca/a vs f for a single YIG cylinder under TM incidence. (a) θ0 = 90◦, (b) θ0 = 45◦, (c) θ0 = 30◦, (d) θ0 = 20◦. Values of parameters: a = 1 cm, φ0 = 0◦, B0 = 1 T. Black curve: full-wave/this work; red curve: ED/this work; green: MD/this work; blue: MQ/this work; blac…
Figure 9
Figure 9. Figure 9: Qsca/a vs f for different YIG configurations under TM incidence. All cylinders have a = 1 cm while φ0 = 0◦. (a)–(b) Single cylinder with B0 = 1 T; (a) θ0 = 90◦; (b) θ0 = 20◦. (c)–(d) Dimer with d = 2.4 cm and B0 = 0.4 T; (c) θ0 = 90◦; (d) θ0 = 23◦. (e)–(f) Array of fiv…
Figure 10
Figure 10. Figure 10: (a) FOM vs B0. All YIG cylinders have a = 1 cm, d = 2.4 cm while φ0 = 0◦. Two cylinders: θ0 = 23◦; five cylinders: θ0 = 28◦. (b) f0 vs B0 for the same setups as in (a). (c) σ(φ)/a for the two cylinders of (a) at max{FOM} where B0 = 0.4 T and f0 = 1.59 GHz. (d) σ(φ)/a …

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Works this paper leans on

35 extracted references · 35 canonical work pages

  1. [31]

    Modal analysis of composite optical fibers by a vectorial extended in- tegral equation method,

    K. Delimaris, G. Gkrimpogiannis, and G. P. Zouros, “Modal analysis of composite optical fibers by a vectorial extended in- tegral equation method,” J. Lightwave Technol., pp. 1–10, 2025

    work page 2025

  2. [25]

    Scattering of obliquely incident plane waves from a finite periodic structure of ferrite cylinders,

    N. Okamoto, “Scattering of obliquely incident plane waves from a finite periodic structure of ferrite cylinders,” IRE Trans. Anten- nas Propag., vol. 27, no. 3, pp. 317–323, May 1979

    work page 1979

  3. [26]

    Operator scattering theory for multilayer cylinders comprising gyrotropic materials and its application to Weyl semimetals,

    M. M. Kharton, L. Gao, D. Gao, and A. Novitsky, “Operator scattering theory for multilayer cylinders comprising gyrotropic materials and its application to Weyl semimetals,” Phys. Rev. A (Coll. Park.), vol. 111, no. 3, Mar. 2025

    work page 2025

  4. [1]

    Electro- magnetic energy and negative asymmetry parameters in coated magneto-optical cylinders: Applications to tunable light trans- port in disordered systems,

    T. J. Arruda, A. S. Martinez, and F. A. Pinheiro, “Electro- magnetic energy and negative asymmetry parameters in coated magneto-optical cylinders: Applications to tunable light trans- port in disordered systems,” Phys. Rev. A , vol. 94, no. 3, Sep. 2016

    work page 2016

  5. [2]

    Scattering invisibility with free-space field enhancement of all-dielectric nanoparticles,

    W. Liu and A. E. Miroshnichenko, “Scattering invisibility with free-space field enhancement of all-dielectric nanoparticles,” Laser Photon. Rev., vol. 11, no. 6, p. 1700103, Nov. 2017

    work page 2017

  6. [3]

    Single scattering and effective medium description of multilayer cylinder metamaterials: Application to graphene- and to metasurface-coated cylinders,

    C. P. Mavidis, A. C. Tasolamprou, E. N. Economou, C. M. Souk- oulis, and M. Kafesaki, “Single scattering and effective medium description of multilayer cylinder metamaterials: Application to graphene- and to metasurface-coated cylinders,” Phys. Rev. B. , vol. 107, no. 13, Apr. 2023

    work page 2023

  7. [4]

    Shielding effectiveness of metamaterial cylindrical arrays via the method of auxiliary sources,

    M. Kouroublakis, G. P. Zouros, and N. L. Tsitsas, “Shielding effectiveness of metamaterial cylindrical arrays via the method of auxiliary sources,” IEEE Trans. Antennas Propagat. , vol. 72, no. 7, pp. 5950–5960, Jul. 2024

    work page 2024

  8. [5]

    Analysis of multiple scattering by cylindrical arrays and applications to electromagnetic shielding,

    G. P. Zouros, M. Kouroublakis, and N. L. Tsitsas, “Analysis of multiple scattering by cylindrical arrays and applications to electromagnetic shielding,” in More Adventures in Contempo- rary Electromagnetic Theory , F. Chiadini and V . Fiumara, Eds. Switzerland AG: Springer Nature, 2025, pp. 307–328

    work page 2025

Show all 35 references
  1. [6]

    Electromagnetic multipole theory for two-dimensional photonics,

    I. Loulas, E. Almpanis, M. Kouroublakis, K. L. Tsakmakidis, C. Rockstuhl, and G. P. Zouros, “Electromagnetic multipole theory for two-dimensional photonics,” ACS Photonics, vol. 12, pp. 1524–1534, Feb. 2025

    2025

  2. [7]

    A Fortran code for the scattering of EM plane waves by two cylinders at normal incidence,

    H. A. Yousif and S. K ¨ohler, “A Fortran code for the scattering of EM plane waves by two cylinders at normal incidence,”Comput. Phys. Commun., vol. 59, no. 2, pp. 371–385, Jun. 1990

    1990

  3. [8]

    A comparative study of two-dimensional multiple scattering techniques,

    A. Z. Elsherbeni, “A comparative study of two-dimensional multiple scattering techniques,” Radio Sci. , vol. 29, no. 4, pp. 1023–1033, Jul. 1994

    1994

  4. [9]

    Scattering by a random set of parallel cylinders,

    D. Felbacq, G. Tayeb, and D. Maystre, “Scattering by a random set of parallel cylinders,” J. Opt. Soc. Am. A Opt. Image Sci. Vis. , vol. 11, no. 9, p. 2526, Sep. 1994

    1994

  5. [10]

    Multiple scattering by random configurations of circular cylinders: Second-order corrections for the effective wavenumber,

    C. M. Linton and P. A. Martin, “Multiple scattering by random configurations of circular cylinders: Second-order corrections for the effective wavenumber,” J. Acoust. Soc. Am. , vol. 117, no. 6, pp. 3413–3423, Jun. 2005

    2005

  6. [11]

    Multiple scattering between cylinders in two dielectric half-spaces,

    P. Pawliuk and M. Yedlin, “Multiple scattering between cylinders in two dielectric half-spaces,” IEEE Trans. Antennas Propag. , vol. 61, no. 8, pp. 4220–4228, Aug. 2013

    2013

  7. [12]

    Multiple scattering by parallel plasma cylinders,

    X.-P. Wu, J.-M. Shi, and J.-C. Wang, “Multiple scattering by parallel plasma cylinders,” IEEE Trans. Plasma Sci. IEEE Nucl. Plasma Sci. Soc., vol. 42, no. 1, pp. 13–19, Jan. 2014

    2014

  8. [13]

    The collocation multipole method for solving multiple scattering problems with circular boundaries,

    W. M. Lee and J. T. Chen, “The collocation multipole method for solving multiple scattering problems with circular boundaries,” Eng. Anal. Bound. Elem. , vol. 48, pp. 102–112, Nov. 2014

    2014

  9. [14]

    Analysis of electromagnetic scattering from large arrays of cylinders via a hybrid of the method of auxiliary sources (MAS) with the fast multipole method (FMM),

    E. Mastorakis, P. J. Papakanellos, H. T. Anastassiu, and N. L. Tsitsas, “Analysis of electromagnetic scattering from large arrays of cylinders via a hybrid of the method of auxiliary sources (MAS) with the fast multipole method (FMM),” Mathematics, vol. 10, no. 17, p. 3211, Sep. 2022

    2022

  10. [15]

    Scattering by arbitrary cross-section cylinders based on the T- matrix approach and cylindrical to plane waves transformation,

    J. Rubio, J. R. Mosig, R. Gomez-Alcala, and M. A. G. de Aza, “Scattering by arbitrary cross-section cylinders based on the T- matrix approach and cylindrical to plane waves transformation,” IEEE Trans. Antennas Propag. , vol. 70, no. 8, pp. 6983–6991, Aug. 2022

    2022

  11. [16]

    Multiple scattering model for beam synthesis with reconfigurable intelligent surfaces,

    T. E. Rimpil ¨ainen and R. J ¨antti, “Multiple scattering model for beam synthesis with reconfigurable intelligent surfaces,” IEEE Trans. Antennas Propag. , vol. 71, no. 6, pp. 4990–5000, Jun. 2023

    2023

  12. [17]

    Shooting and bouncing rays for sparse particles (SBR-SP) ap- plied for multiple magnetodielectric circular cylinders,

    Y . H. Cho, H. Lee, W. J. Byun, B. S. Kim, and Y . J. Chong, “Shooting and bouncing rays for sparse particles (SBR-SP) ap- plied for multiple magnetodielectric circular cylinders,” IEEE Trans. Antennas Propag., pp. 1–1, 2023

    2023

  13. [18]

    Scattering by two penetrable cylinders at oblique incidence. I. The analytical solution,

    H. A. Yousif and S. K ¨ohler, “Scattering by two penetrable cylinders at oblique incidence. I. The analytical solution,”J. Opt. Soc. Am. A Opt. Image Sci. Vis. , vol. 5, no. 7, p. 1085, Jul. 1988

    1988

  14. [19]

    Scattering by two penetrable cylinders at oblique inci- dence. II. Numerical examples,

    ——, “Scattering by two penetrable cylinders at oblique inci- dence. II. Numerical examples,” J. Opt. Soc. Am. A Opt. Image Sci. Vis., vol. 5, no. 7, p. 1097, Jul. 1988

    1988

  15. [20]

    Dependent scattering of an obliquely incident plane wave by a collection of parallel cylinders,

    S.-C. Lee, “Dependent scattering of an obliquely incident plane wave by a collection of parallel cylinders,”J. Appl. Phys., vol. 68, no. 10, pp. 4952–4957, Nov. 1990

    1990

  16. [21]

    Oblique incidence plane wave scattering from an array of circular dielec- tric cylinders,

    B. H. Henin, A. Z. Elsherbeni, and M. H. Al Sharkawy, “Oblique incidence plane wave scattering from an array of circular dielec- tric cylinders,” PIER, vol. 68, pp. 261–279, 2007

    2007

  17. [22]

    Introduction to elec- tromagnetic scattering, part II: tutorial,

    F. Frezza, F. Mangini, and N. Tedeschi, “Introduction to elec- tromagnetic scattering, part II: tutorial,” J. Opt. Soc. Am. A Opt. Image Sci. Vis., vol. 37, no. 8, pp. 1300–1315, Aug. 2020

    2020

  18. [23]

    An efficient analysis of scattering from randomly distributed obstacles using an accurate recursive aggregated centered T-matrix algorithm,

    M. Degen, V . Jandieri, B. Sievert, J. T. Svejda, A. Rennings, and D. Erni, “An efficient analysis of scattering from randomly distributed obstacles using an accurate recursive aggregated centered T-matrix algorithm,” IEEE Trans. Antennas Propag. , vol. 71, no. 12, pp. 9849–98...

    2023

  19. [24]

    A generalized case of the electromagnetic scattering from an array of ferrite cylinders,

    T. Kumar, N. Kalyanasundaram, and B. K. Lande, “A generalized case of the electromagnetic scattering from an array of ferrite cylinders,” Waves Random Complex Media , vol. 25, no. 4, pp. 587–607, Oct. 2015

    2015

  20. [27]

    Theory of wave propagation in a gyromagnetic medium,

    P. S. Epstein, “Theory of wave propagation in a gyromagnetic medium,” Rev. Mod. Phys., vol. 28, no. 1, pp. 3–17, Jan. 1956

    1956

  21. [28]

    A note on scalar Hertz potentials for gyrotropic media,

    S. Prze ´ziecki and R. A. Hurd, “A note on scalar Hertz potentials for gyrotropic media,” Appl. Phys., vol. 20, no. 4, pp. 313–317, Dec. 1979

    1979

  22. [29]

    Half-plane diffraction in a gyrotropic medium,

    R. Hurd and S. Prze ´ziecki, “Half-plane diffraction in a gyrotropic medium,” IRE Trans. Antennas Propag., vol. 33, no. 8, pp. 813– 822, Aug. 1985

    1985

  23. [30]

    Splitting axially heterogeneous modes in microwave gyromagnetic and gyroelectric resonators,

    N. N. Movchan, I. V . Zavislyak, and M. A. Popov, “Splitting axially heterogeneous modes in microwave gyromagnetic and gyroelectric resonators,” Radioelectron. Commun. Syst., vol. 55, no. 12, pp. 549–558, Dec. 2012

    2012

  24. [32]

    Relations between cylindrical and spherical vector wavefunctions,

    G. Han, Y . Han, and H. Zhang, “Relations between cylindrical and spherical vector wavefunctions,” J. Opt. Pure Appl. Opt. , vol. 10, no. 1, p. 015006, Jan. 2008

    2008

  25. [33]

    C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles . New York: John Wiley & Sons, Inc., 1983

    1983

  26. [34]

    D. M. Pozar, Microwave Engineering. Hoboken, NJ: John Wiley & Sons, 2012

    2012

  27. [35]

    An entire domain CFVIE-CDSE method for EM scattering on electrically large highly inhomogeneous gyrotropic circular cylinders,

    K. Katsinos, G. P. Zouros, and J. A. Roumeliotis, “An entire domain CFVIE-CDSE method for EM scattering on electrically large highly inhomogeneous gyrotropic circular cylinders,”IEEE Trans. Antennas Propag. , vol. 69, no. 4, pp. 2256–2266, Apr. 2021

    2021

Pith tools

Reviewed August 7, 2026 · model on record in the stance chip above.