TY - GEN

T1 - Pulsed Three-dimensional Caustic Beams over a Generic Curved Trajectory in Free Space

AU - Melamed, Timor

N1 - Publisher Copyright:
© 2024 IEEE.

PY - 2024/1/1

Y1 - 2024/1/1

N2 - We present an algorithm for designing and manipulating pulsed caustic (accelerating) beams that propagate along a predefined curved beam-axis trajectory. These pulsed beams are localized time-dependent wave-packets that follow a pre-defined desired curved trajectory in free space. Given the curved beam-axis rb(σ) = [x(σ), y(σ), z(σ)], σ ∈ [0, σmax], with σ denoting the arclength along the beam-axis, we aim at designing the pulsed aperture field over the plane z = 0 that radiates a 3-D pulsed beam-field, along the beam-axis. The pulsed field is propagating in a homogeneous medium. Its time-dependent intensity is”propagating” along the desired beam-axis such that at a given time t, this intensity peaks near the point rb(σ) over the desired beam-axis in (1). To that end, the designed pulsed aperture field, denoted u0(x, y, t), is sought in the form of a short pulsed ray-field u0(x, y, t) = A(x, y)g[t − τ(x, y)] where g(t) is some short pulse function with respect to the amplitude term. In (1), (x, y) are coordinates over the aperture plane, and A and τ are identified as the aperture field’s amplitude and delay, respectively. The delay is set to form a time-dependent caustic surface about the beam-axis skeleton, and the amplitude is design to form a localized wave packet with a desired beam width. Several design approaches will be described along with the resulting aperture fields.

AB - We present an algorithm for designing and manipulating pulsed caustic (accelerating) beams that propagate along a predefined curved beam-axis trajectory. These pulsed beams are localized time-dependent wave-packets that follow a pre-defined desired curved trajectory in free space. Given the curved beam-axis rb(σ) = [x(σ), y(σ), z(σ)], σ ∈ [0, σmax], with σ denoting the arclength along the beam-axis, we aim at designing the pulsed aperture field over the plane z = 0 that radiates a 3-D pulsed beam-field, along the beam-axis. The pulsed field is propagating in a homogeneous medium. Its time-dependent intensity is”propagating” along the desired beam-axis such that at a given time t, this intensity peaks near the point rb(σ) over the desired beam-axis in (1). To that end, the designed pulsed aperture field, denoted u0(x, y, t), is sought in the form of a short pulsed ray-field u0(x, y, t) = A(x, y)g[t − τ(x, y)] where g(t) is some short pulse function with respect to the amplitude term. In (1), (x, y) are coordinates over the aperture plane, and A and τ are identified as the aperture field’s amplitude and delay, respectively. The delay is set to form a time-dependent caustic surface about the beam-axis skeleton, and the amplitude is design to form a localized wave packet with a desired beam width. Several design approaches will be described along with the resulting aperture fields.

UR - http://www.scopus.com/inward/record.url?scp=85203181677&partnerID=8YFLogxK

U2 - 10.23919/INC-USNC-URSI61303.2024.10632390

DO - 10.23919/INC-USNC-URSI61303.2024.10632390

M3 - Conference contribution

AN - SCOPUS:85203181677

T3 - 2024 IEEE INC-USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), INC-USNC-URSI 2024 - Proceedings

SP - 324

BT - 2024 IEEE INC-USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), INC-USNC-URSI 2024 - Proceedings

PB - Institute of Electrical and Electronics Engineers

T2 - 2024 IEEE INC-USNC-URSI Radio Science Meeting (Joint with AP-S Symposium), INC-USNC-URSI 2024

Y2 - 14 July 2024 through 19 July 2024

ER -