Michael Katsav - Academia.edu (original) (raw)
Papers by Michael Katsav
2023 International Conference on Electromagnetics in Advanced Applications (ICEAA)
2023 International Conference on Electromagnetics in Advanced Applications (ICEAA)
2023 17th European Conference on Antennas and Propagation (EuCAP)
IEEE Transactions on Antennas and Propagation
In a recent paper [1] we derived an approximate tip-diffraction coefficient for circular wide-ang... more In a recent paper [1] we derived an approximate tip-diffraction coefficient for circular wide-angle cones. In the present work, we derive a uniform solution for the field in the Geometrical Optics transition zones. The uniform solution has the form of Weber parabolic cylinder function of order −3/2, but far from the transition zones, it reduces to the separate reflection and tip diffraction contributions. The derivation utilizes the approximate spectral integral solution for wide-angle cones derived in [1], whose form is much simpler than the exact spectral integral solution. The uniform solution is used therefore only inside the transition zone, whereas at large angles it is more accurate to switch to the non-uniform contributions of the reflection and of tip diffraction. The accuracy of the new solution is demonstrated via comparison to the exact conical harmonics solution.
2007 International Conference on Electromagnetics in Advanced Applications, 2007
A Gaussian beam summation (GBS) representation for a half-plane diffraction of an incident beam w... more A Gaussian beam summation (GBS) representation for a half-plane diffraction of an incident beam wave is presented. The scattered field is expanded into GB's that emerge from the edge with appropriate excitation amplitudes. Asymptotic expressions for the beam to beam (B2B) scattering matrix consisting of the diffracted beams amplitudes, are derived and compared to exact numerical calculations. Applications to GBS
2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, 2018
The scattering by semi-infinite circular cones has an exact spherical harmonics solution, but so ... more The scattering by semi-infinite circular cones has an exact spherical harmonics solution, but so far there was no explicit expression for the tip diffraction coefficient, except for Felsen's seminal solution for a narrow-angle cone. In the present work we derive the diffraction coefficient for a wide-angle cone with cone-angle approaching pi/2\pi/2pi/2, a problem which is particularly relevant for terrain and urban propagation. The result provides a cogent physical interpretation for the scattered field, and can also be applied for diffraction of complex-source beam by a wide-angle cone.
2013 International Symposium on Electromagnetic Theory, 2013
Complex-source beam diffraction by a wedge is explored as a function of the beam direction and di... more Complex-source beam diffraction by a wedge is explored as a function of the beam direction and displacement from the edge. The complex ray solution is derived and compares to exact solutions via the the complex multipole expansion and via the Sommerfeld integral.
IEEE Transactions on Antennas and Propagation
IEEE Transactions on Antennas and Propagation
IEEE Transactions on Antennas and Propagation
2016 URSI International Symposium on Electromagnetic Theory (EMTS), 2016
2013 International Symposium on Electromagnetic Theory, May 20, 2013
2013 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2013
ABSTRACT
2012 International Conference on Electromagnetics in Advanced Applications, 2012
Proceedings of the 2012 IEEE International Symposium on Antennas and Propagation, 2012
ABSTRACT Scattering and diffraction of a complex-source beam (CSB) by a wedge is treated by means... more ABSTRACT Scattering and diffraction of a complex-source beam (CSB) by a wedge is treated by means of a suitable multipole expansion of the field. Numerical results for the total as well as for the scattered fields have been evaluated for both Dirichlet and Neumann boundary conditions. The scattered field computed from the multipole expansion has been successfully compared to the classical Sommerfeld solution.
Radio Science, 2005
Two ultrawideband Gaussian beam summation (UWB-GBS) algorithms are presented and then explored in... more Two ultrawideband Gaussian beam summation (UWB-GBS) algorithms are presented and then explored in the context of calculating UWB focusing by curved interfaces. The favorable features of the basic algorithm are: (1) The same lattice of beams is used for all frequencies, and (2) it utilizes isodiffracting Gaussian beams with frequency-independent propagation parameters, which also yield stable and localized expansion coefficients
2014 XXXIth URSI General Assembly and Scientific Symposium (URSI GASS), 2014
IEEE Convention of the Electrical and ELectronic Engineers in Israel, 2008
A Gaussian beam summation (GBS) representation for a three-dimensional half-plane diffraction of ... more A Gaussian beam summation (GBS) representation for a three-dimensional half-plane diffraction of a Gaussian beam (GB) that hits arbitrarily close to the edge is presented. The expansion involves an angular spectrum of GB¿s in the plane normal to the edge and a discrete phase-space decomposition along the edge. The field is thus described as a sum of GB¿s emerging from
2023 International Conference on Electromagnetics in Advanced Applications (ICEAA)
2023 International Conference on Electromagnetics in Advanced Applications (ICEAA)
2023 17th European Conference on Antennas and Propagation (EuCAP)
IEEE Transactions on Antennas and Propagation
In a recent paper [1] we derived an approximate tip-diffraction coefficient for circular wide-ang... more In a recent paper [1] we derived an approximate tip-diffraction coefficient for circular wide-angle cones. In the present work, we derive a uniform solution for the field in the Geometrical Optics transition zones. The uniform solution has the form of Weber parabolic cylinder function of order −3/2, but far from the transition zones, it reduces to the separate reflection and tip diffraction contributions. The derivation utilizes the approximate spectral integral solution for wide-angle cones derived in [1], whose form is much simpler than the exact spectral integral solution. The uniform solution is used therefore only inside the transition zone, whereas at large angles it is more accurate to switch to the non-uniform contributions of the reflection and of tip diffraction. The accuracy of the new solution is demonstrated via comparison to the exact conical harmonics solution.
2007 International Conference on Electromagnetics in Advanced Applications, 2007
A Gaussian beam summation (GBS) representation for a half-plane diffraction of an incident beam w... more A Gaussian beam summation (GBS) representation for a half-plane diffraction of an incident beam wave is presented. The scattered field is expanded into GB's that emerge from the edge with appropriate excitation amplitudes. Asymptotic expressions for the beam to beam (B2B) scattering matrix consisting of the diffracted beams amplitudes, are derived and compared to exact numerical calculations. Applications to GBS
2018 IEEE International Symposium on Antennas and Propagation & USNC/URSI National Radio Science Meeting, 2018
The scattering by semi-infinite circular cones has an exact spherical harmonics solution, but so ... more The scattering by semi-infinite circular cones has an exact spherical harmonics solution, but so far there was no explicit expression for the tip diffraction coefficient, except for Felsen's seminal solution for a narrow-angle cone. In the present work we derive the diffraction coefficient for a wide-angle cone with cone-angle approaching pi/2\pi/2pi/2, a problem which is particularly relevant for terrain and urban propagation. The result provides a cogent physical interpretation for the scattered field, and can also be applied for diffraction of complex-source beam by a wide-angle cone.
2013 International Symposium on Electromagnetic Theory, 2013
Complex-source beam diffraction by a wedge is explored as a function of the beam direction and di... more Complex-source beam diffraction by a wedge is explored as a function of the beam direction and displacement from the edge. The complex ray solution is derived and compares to exact solutions via the the complex multipole expansion and via the Sommerfeld integral.
IEEE Transactions on Antennas and Propagation
IEEE Transactions on Antennas and Propagation
IEEE Transactions on Antennas and Propagation
2016 URSI International Symposium on Electromagnetic Theory (EMTS), 2016
2013 International Symposium on Electromagnetic Theory, May 20, 2013
2013 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2013
ABSTRACT
2012 International Conference on Electromagnetics in Advanced Applications, 2012
Proceedings of the 2012 IEEE International Symposium on Antennas and Propagation, 2012
ABSTRACT Scattering and diffraction of a complex-source beam (CSB) by a wedge is treated by means... more ABSTRACT Scattering and diffraction of a complex-source beam (CSB) by a wedge is treated by means of a suitable multipole expansion of the field. Numerical results for the total as well as for the scattered fields have been evaluated for both Dirichlet and Neumann boundary conditions. The scattered field computed from the multipole expansion has been successfully compared to the classical Sommerfeld solution.
Radio Science, 2005
Two ultrawideband Gaussian beam summation (UWB-GBS) algorithms are presented and then explored in... more Two ultrawideband Gaussian beam summation (UWB-GBS) algorithms are presented and then explored in the context of calculating UWB focusing by curved interfaces. The favorable features of the basic algorithm are: (1) The same lattice of beams is used for all frequencies, and (2) it utilizes isodiffracting Gaussian beams with frequency-independent propagation parameters, which also yield stable and localized expansion coefficients
2014 XXXIth URSI General Assembly and Scientific Symposium (URSI GASS), 2014
IEEE Convention of the Electrical and ELectronic Engineers in Israel, 2008
A Gaussian beam summation (GBS) representation for a three-dimensional half-plane diffraction of ... more A Gaussian beam summation (GBS) representation for a three-dimensional half-plane diffraction of a Gaussian beam (GB) that hits arbitrarily close to the edge is presented. The expansion involves an angular spectrum of GB¿s in the plane normal to the edge and a discrete phase-space decomposition along the edge. The field is thus described as a sum of GB¿s emerging from