Structure of an edge-dislocation wave originating in plane-wave diffraction by a half-plane

Area of Science:

• Electromagnetics and Wave Propagation
• Mathematical Physics

Background:

• The Sommerfeld solution for plane-wave diffraction from a perfectly conducting half-plane is a foundational concept.
• This solution traditionally involves abstract geometrical and boundary waves.

Purpose of the Study:

• To develop a new theoretical and experimental treatment of the Sommerfeld half-plane diffraction problem.
• To represent the diffraction field as a superposition of physically real waves.

Main Methods:

• Theoretical analysis of plane-wave diffraction.
• Experimental validation of the proposed wave representation.
• Decomposition of the diffraction field into specific wave components.

Main Results:

• The diffraction field (E-polarization) is shown to be a superposition of real, physically existing waves.
• The representation includes two pairs of wave components: incident and mirror-reflected directions.
• Each pair comprises a plane wave (half incident amplitude) and a nearly plane wave with an edge dislocation.

Conclusions:

• The proposed wave representation offers a physically intuitive interpretation of half-plane diffraction.
• This new model successfully explains all observed features of half-plane diffraction.
• Challenges the traditional view of abstract waves in diffraction phenomena.