TY - JOUR
T1 - Pulsed beam interaction with propagation environments
T2 - Canonical example of reflection and diffraction
AU - Heyman, E.
AU - Ianconescu, R.
AU - Felsen, L. B.
PY - 1989/7/25
Y1 - 1989/7/25
N2 - In previous publications [L.B. Felsen and E. Heyman, Proc. SPIE Vol 873 pp. 320-328 1988; E. Heyman, Wave Motion, in press], it has been shown how highly focused pulsed fields in vacuum can be generated analytically by assigning complex values to the space-time source coordinates of the conventional transient free-space Green's function. These new wave objects have been called complex source pulsed beams (CSPB). Their utility can be extended to generating new solutions for pulsed beam propagation and diffraction in a perturbed environment by making the space-time source coordinates in the corresponding Green's function complex. The analytic extension required in this process is performed systematically via the spectral theory of transients (STT) [E. Heyman and L.B. Felsen, IEEE Trans. Antennas Propagat. AP-35 (1987), 80-86, 574-580]. A canonical test case for reflection, including critical angle and lateral (head) wave eflEaTis provided by a dielectric half space. The exact solution for CSPB scattering is derived in spectral integral form, evaluated in terms of the time-dependent and time-independent spatial spectrum singularities in the complex plane, and interpreted physically. Numerical evaluation reveals the detailed space-time behavior of these physical constituents and their role in establishing the total scattered field.
AB - In previous publications [L.B. Felsen and E. Heyman, Proc. SPIE Vol 873 pp. 320-328 1988; E. Heyman, Wave Motion, in press], it has been shown how highly focused pulsed fields in vacuum can be generated analytically by assigning complex values to the space-time source coordinates of the conventional transient free-space Green's function. These new wave objects have been called complex source pulsed beams (CSPB). Their utility can be extended to generating new solutions for pulsed beam propagation and diffraction in a perturbed environment by making the space-time source coordinates in the corresponding Green's function complex. The analytic extension required in this process is performed systematically via the spectral theory of transients (STT) [E. Heyman and L.B. Felsen, IEEE Trans. Antennas Propagat. AP-35 (1987), 80-86, 574-580]. A canonical test case for reflection, including critical angle and lateral (head) wave eflEaTis provided by a dielectric half space. The exact solution for CSPB scattering is derived in spectral integral form, evaluated in terms of the time-dependent and time-independent spatial spectrum singularities in the complex plane, and interpreted physically. Numerical evaluation reveals the detailed space-time behavior of these physical constituents and their role in establishing the total scattered field.
UR - http://www.scopus.com/inward/record.url?scp=84958491848&partnerID=8YFLogxK
U2 - 10.1117/12.951819
DO - 10.1117/12.951819
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AN - SCOPUS:84958491848
SN - 0277-786X
VL - 1061
SP - 387
EP - 394
JO - Proceedings of SPIE - The International Society for Optical Engineering
JF - Proceedings of SPIE - The International Society for Optical Engineering
ER -