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

Shlomo Timor Melamed; Ehud Heyman

doi:10.1117/12.137134

1 April 1992 Phase-space beam summation for time-harmonic and time-dependent radiation from extended apertures: 3-D formulation

Shlomo Timor Melamed, Ehud Heyman

Author Affiliations +

Proceedings Volume 1629, Intense Microwave and Particle Beams III; (1992) https://doi.org/10.1117/12.137134
Event: OE/LASE '92, 1992, Los Angeles, CA, United States

Abstract

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.

Citation Download Citation

Shlomo Timor Melamed and Ehud Heyman "Phase-space beam summation for time-harmonic and time-dependent radiation from extended apertures: 3-D formulation", Proc. SPIE 1629, Intense Microwave and Particle Beams III, (1 April 1992); https://doi.org/10.1117/12.137134

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available