For a modified Bessel-Gauss beam, the modulating function for the Gaussian is a Bessel function of imaginary argument or a modified Bessel function of real argument. The scalar modified Bessel-Gauss beam was introduced and its basic full-wave generalization was treated with particular emphasis on its spreading properties on propagation (Seshadri, 2007). One form of the electromagnetic modified Bessel-Gauss beams, namely the transverse magnetic (TM) modified Bessel-Gauss beam, was investigated and its basic full-wave generalization was obtained (Seshadri, 2008). To generate the TM modified Bessel-Gauss beam and wave, a single component of the magnetic vector potential in the direction of propagation was used. In this chapter, a linearly polarized electromagnetic modified Bessel-Gauss beam and a wave are treated. To produce the linearly polarized modified Bessel-Gauss beam and a wave, a single component of the magnetic vector potential perpendicular to the direction of propagation is required.

Chapter Contents:

• 1 Modified Bessel-Gauss beam
• 1.1 Paraxial beam
• 1.2 Time-averaged power
• 2 Modified Bessel-Gauss wave
• 3 Real and reactive powers
• References

Inspec keywords: electromagnetic wave propagation

Other keywords: scalar modified Bessel-Gauss beam; linearly polarized electromagnetic modified Bessel-Gauss beam; basic full-wave generalization; propagation direction; electromagnetic modified Bessel-Gauss beams; basic full modified Bessel-Gauss wave; spreading properties; transverse magnetic modified Bessel-Gauss beam; modulating function; magnetic vector potential; modified Bessel function

Subjects: Electromagnetic waves: theory; Electromagnetic wave propagation