Amplitude Engineering for Beamformers with Self-Bending Directivity Based on Convex Optimization

• Arrays producing self-bending beams were proposed in the literature recently. The self-bending property of the beam is achieved by matching the phase profile that is applied to the array elements to a self-bending wave field. This process is termed phase engineering. It has been unclear how the optimal amplitude profile can be determined as the amplitude distribution of a self-bending wave field is difficult to determine. Previous works employed educated guesses. In this paper, we apply convex optimization to perform amplitude engineering. In other words, we complement phase engineering by determining the purely real amplitude weights that minimize the norm of the amplitude weights for a given maximum beam amplitude in the dark zone around which the beam bends. We show that phase engineering by itself does not narrow down the solution space sufficiently so that the choice of control points in the dark zone has a significant impact on how well the desired self-bending property forms.

Subject headings

NATURVETENSKAP  -- Data- och informationsvetenskap (hsv//swe)

NATURAL SCIENCES  -- Computer and Information Sciences (hsv//eng)

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Telekommunikation (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Telecommunications (hsv//eng)

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Kommunikationssystem (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Communication Systems (hsv//eng)

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)

ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)

Keyword

Airy beams

convex opti- mization

Phase engineering

beamforming

Publication and Content Type

kon (subject category)

ref (subject category)