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On sources of complex rays at complex locations: Higher‐order beam waves
Author(s) -
Hashimoto Masahiro
Publication year - 1987
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs022i006p00959
Subject(s) - diffraction , fresnel diffraction , beam (structure) , optics , physics , gaussian beam , field (mathematics) , plane (geometry) , fresnel zone , representation (politics) , gaussian , computational physics , geometry , mathematics , quantum mechanics , politics , political science , law , pure mathematics
The sources of complex rays at complex locations are discussed. It is shown that non‐Gaussian beam waves can also be represented in terms of these sources. However, such a representation is not unique, because the same field which is valid in the Fresnel diffraction region is represented in term of different sources which are located on a complex plane. Several examples are given and an application to the problem of diffraction is also shown.