TY - GEN
T1 - About scattered field's singularities and Rayleigh hypothesis
AU - Petoev, I.
AU - Tabatadze, V.
AU - Kakulia, D.
AU - Zaridze, R.
PY - 2012
Y1 - 2012
N2 - The new vision on the Rayleigh hypothesis is discussed based on several new results of computer simulations. Possible or actual singularities in the analytic continuation of the scattering problem solutions for the two and tree dimensional Helmholtz equation are studied in order to investigate the Rayleigh hypothesis validity. The procedure uses computer simulations for the solution particular problems, and relates to the several types of singularities, associated with the elementary source as well as boundary curve's singularities in the solution. The results provide confirmation of criteria for the validity of the Rayleigh hypothesis that have been criticized by several investigators, including us. In this paper it is demonstrated, that the Rayleigh hypothesis might be correct and has deep physical meaning.
AB - The new vision on the Rayleigh hypothesis is discussed based on several new results of computer simulations. Possible or actual singularities in the analytic continuation of the scattering problem solutions for the two and tree dimensional Helmholtz equation are studied in order to investigate the Rayleigh hypothesis validity. The procedure uses computer simulations for the solution particular problems, and relates to the several types of singularities, associated with the elementary source as well as boundary curve's singularities in the solution. The results provide confirmation of criteria for the validity of the Rayleigh hypothesis that have been criticized by several investigators, including us. In this paper it is demonstrated, that the Rayleigh hypothesis might be correct and has deep physical meaning.
UR - http://www.scopus.com/inward/record.url?scp=84870657443&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84870657443
SN - 9789660263185
T3 - Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED
SP - 17
EP - 22
BT - DIPED 2012 - 17th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings
T2 - 17th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2012
Y2 - 24 September 2012 through 27 September 2012
ER -