Title :
The end of evanescent waves in free space
Author :
Katrich, Alexander B.
Author_Institution :
Kharkov Nat. Univ., Ukraine
Abstract :
It is rigorously showed that any solution of the homogeneous Helmholtz equation in free space is band-limited to a circle of radius k in the plane z=0 and evanescent waves in the angular spectrum representation are really absent. If the part of spectrum that gives rise to evanescent waves is not equal to zero then specified field distribution is not exactly the solution of the wave equation.
Keywords :
Helmholtz equations; electromagnetic fields; electromagnetic wave propagation; angular spectrum representation; beam propagation; evanescent waves; free space; homogeneous Helmholtz equation solution; specified field distribution; wave equation solution; Books; Fourier transforms; Kernel; Nonuniform electric fields; Partial differential equations; Polynomials;
Conference_Titel :
Advanced Optoelectronics and Lasers, 2005. Proceedings of CAOL 2005. Second International Conference on
Print_ISBN :
0-7803-9130-6
DOI :
10.1109/CAOL.2005.1553862
