Phase-space beam summation for time-harmonic and time-dependent radiation from extended apertures: 3D formulation

Timor Melamed, Ehud Heyman

Research output: Contribution to journalConference articlepeer-review

3 Scopus citations


This paper is concerned with a general mathematical framework for the modeling and analysis of pulsed radiation from an extended source distribution. The radiated field is expressed as a continuous superposition of pulsed beam (PB) propagators which emanate from all points in the source plan and in all directions and initiation times. This phase-space distribution of PB is matched rigorously to the given time-depended source distribution via the new "local Radon transform", which extracts the local space-time spectral (directional) properties of the source distribution. The representation integral emphasizes a priori the local radiation properties of the source distribution, thereby improves numerical efficiency and enhances physical interpretation. The basic concepts have been introduced recently for two-dimensional configurations. The present paper extends the representation to three dimensions, derives expressions for relevant transforms and propagators and discusses the additional phenomena introduced by the three dimensionality. This phase-space formulation should be contrasted with the alternative Hermite pulsed beam expansion scheme presented elsewhere in this issue, which applies only for well collimated radiation.

Original languageEnglish
Pages (from-to)336-352
Number of pages17
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 1 Apr 1992
Externally publishedYes
EventIntense Microwave and Particle Beams III 1992 - Los Angeles, United States
Duration: 19 Jan 199224 Jan 1992

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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