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What is the relationship between Bessel functions and electromagnetic waves? 


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Bessel functions are used to describe the interaction between electromagnetic waves and particles in various contexts. In the study of the energy measurement of high energy electron beams, the interaction cross section between electrons and microwave photons in a resonant cavity is calculated using Bessel functions . Bessel functions are also used to solve the Cauchy problem for the wave equation in multiple dimensions . In the scattering of electromagnetic waves on cylindrical rods, Bessel functions are used in a series expansion to account for the complex wavenumber due to conductivity . Discrete Bessel functions are studied in the discretization of Bessel differential equations and are used to solve the discrete wave equation on the integers . Additionally, Bessel functions are used in the evaluation of integrals involving Bessel and associated Legendre functions in vector diffraction problems .

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The provided paper does not explicitly mention the relationship between Bessel functions and electromagnetic waves.
Open accessPosted ContentDOI
26 Jun 2023
The provided paper does not discuss the relationship between Bessel functions and electromagnetic waves.
Open accessPosted Content
Katarzyna Krzyżanowska, Sergey Leble 
The paper states that the scattering problem of a plane electromagnetic wave on a cylindrical rod is solved using Bessel functions series expansion.
The paper does not provide information about the relationship between Bessel functions and electromagnetic waves.

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