Deschamps (1971) and Felsen (1976) introduced the scalar point source with the location coordinates in the complex space for obtaining the exact full wave corresponding to the fundamental Gaussian beam. Postulation of the required source in the complex space for paraxial beams other than the fundamental Gaussian beam is difficult. For the purpose of generalizing the treatments of Deschamps and Felsen to any paraxial beam, a method is developed for deducing the required source with the location coordinates in the complex space (Seshadri, 2009). In this chapter, for the fundamental Gaussian beam, such a method is presented, and the location and the strength of the required point source in the complex space are derived.

Chapter Contents:

• 1 Derivation of complex space source
• 2 Asymptotic field
• 3 Analytic continuation
• 4 Limiting absorption
• References

Inspec keywords: electromagnetic wave propagation

Other keywords: complex space; paraxial beams; complex source point theory; location coordinates; scalar point source; exact full wave; fundamental Gaussian beam

Subjects: Electromagnetic waves: theory; Electromagnetic wave propagation