Research output: Contribution to journal › Literature review
Nonparaxial wave beams and packets with general astigmatism. / Kiselev, A. P.; Plachenov, A. B.; Chamorro-Posada, P.
In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 85, No. 4, 2012, p. 043835_1-11.Research output: Contribution to journal › Literature review
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TY - JOUR
T1 - Nonparaxial wave beams and packets with general astigmatism
AU - Kiselev, A. P.
AU - Plachenov, A. B.
AU - Chamorro-Posada, P.
PY - 2012
Y1 - 2012
N2 - We present exact solutions of the wave equation involving an arbitrary wave form with a phase closely similar to the general astigmatic phase of paraxial wave optics. Special choices of the wave form allow general astigmatic beamlike and pulselike waves with a Gaussian-type unrestricted localization in space and time. These solutions are generalizations of the known Bateman-type waves obtained from the connection existing between beamlike solutions of the paraxial parabolic equation and relatively undistorted wave solutions of the wave equation. As a technical tool, we present a full description of parametrizations of 2 × 2 symmetric matrices with positive imaginary part, which arise in the theory of Gaussian beams.
AB - We present exact solutions of the wave equation involving an arbitrary wave form with a phase closely similar to the general astigmatic phase of paraxial wave optics. Special choices of the wave form allow general astigmatic beamlike and pulselike waves with a Gaussian-type unrestricted localization in space and time. These solutions are generalizations of the known Bateman-type waves obtained from the connection existing between beamlike solutions of the paraxial parabolic equation and relatively undistorted wave solutions of the wave equation. As a technical tool, we present a full description of parametrizations of 2 × 2 symmetric matrices with positive imaginary part, which arise in the theory of Gaussian beams.
U2 - 10.1103/PhysRevA.85.043835
DO - 10.1103/PhysRevA.85.043835
M3 - Обзор литературы
VL - 85
SP - 043835_1-11
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 4
ER -
ID: 5464443