### ASA 127th Meeting M.I.T. 1994 June 6-10

## 3aSAb9. Phase-space footprints of truncated periodicity: Time domain
wave-oriented data processing.

**L. Carin
**

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L. B. Felsen
**

**
T.-T. Hsu
**

**
D. Kralj
**

**
**
*Dept. of Elect. Eng., Polytech. Univ., 6 MetroTech Ctr., Brooklyn, NY
11201
*

*
*
A companion paper [L. B. Felsen et al., paper 3aSAb8] has dealt with phase
space processing techniques that extract frequency domain (FD) Bragg-modulated
phenomenologies from scattering data pertaining to truncated periodic arrays of
filaments. Displayed in subdomains of the (x,z,k[sub x],k[sub z])[sub (omega)]
phase space accessed by windowed and global transforms, the footprints of the
dispersive truncated Bragg modes are of special interest. These processing
techniques are now extended and applied to short-pulse time domain (TD)
synthetic scattering data from the filament arrays. The phase space is enlarged
to (x,z,t,k[sub x],k[sub z],(omega)), with a correspondingly enriched choice of
subdomain processing options and visualizations. Again, special attention is
given to the truncated TD Bragg modes whose behavior is governed by an
instantaneous dispersion relation extracted by the processing. Specific plots
include the subdomains (t,(omega)), (t,p[sub x]), and ((omega),k[sub x]), which
complement the FD results (p[sub x](identically equal to)k[sub x]/(omega)).
[Work supported by AFOSR.]