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Study of scattering for a PEMC sphere with Bessel beam illumination

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Abstract

An analysis of electromagnetic scattering by perfect electromagnetic conductor (PEMC) sphere using Bessel beam incidence is presented which is based on the generalized Lorenz–Mie theory (GLMT). The PEMC is famous for the generalization of the renowned concept of perfect electric and perfect magnetic conductor (PEC and PMC). The scattering problem is solved by representing the Bessel beam fields i.e., incident and scattered in the context of vector spherical wave functions (VSWFs). The unknown expansion field coefficients can be found out by solving linear equations which are attained from the implementation of boundary conditions (BCs) of PEMC sphere. Computations of the scattering cross-section \(\left( {C_{sca} } \right)\) and the extinction cross-section \(\left( {C_{ext} } \right)\) are performed. The impact on scattering and extinction cross-section for admittance parameter, conical angle, and sphere size parameter are analyzed. Considering a special case for conical angle i.e., \(\left( {\alpha = 0^{^\circ } } \right)\), the numerical results of scattering cross-section for Bessel beam and plane wave are same.

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Acknowledgements

The authors acknowledge the reviewers for their constructive comments and suggestions.

Funding

This work was supported by the Deputyship for Research and Innovation, “Ministry of Education” in Saudi Arabia through the Research Group Project number (IFKSURG-2–676).

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Authors and Affiliations

  1. Department of Physics, University of Agriculture, Faisalabad, 38000, Pakistan

    M. Arfan & A. Ghaffar

  2. Department of Physics, Government College University, Faisalabad, 38000, Pakistan

    N. Khaleel

  3. Department of Electrical Engineering, King Saud University, Riyadh, Saudi Arabia

    Y. Khan

  4. Sustainable Energy Technologies Center, College of Engineering, King Saud University, PO-BOX 800, Riyadh 11421, Saudi Arabia

    I. Shakir

  5. Department of Materials Science and Engineering, University of California, Los Angeles, CA, USA

    I. Shakir

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  1. M. Arfan
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  4. Y. Khan
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  5. I. Shakir
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Contributions

M. Arfan and N. Khaleel wrote main manuscript and derived analytical expressions. A. Ghaffar edited the manuscript and reviewed the numerical analysis. Y. Khan and I. Shakir developed methodology in the given study. Author M. Arfan was also encouraged and completely supervised during preparation of the manuscript by A. Ghaffar. All authors reviewed the manuscript before submission.

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Correspondence to A. Ghaffar.

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Arfan, M., Khaleel, N., Ghaffar, A. et al. Study of scattering for a PEMC sphere with Bessel beam illumination. Opt Quant Electron 55, 443 (2023). https://doi.org/10.1007/s11082-023-04701-3

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