Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Notation
- 1 Electromagnetic concepts useful for radar applications
- 2 Scattering matrix
- 3 Wave, antenna, and radar polarization
- 4 Dual-polarized wave propagation in precipitation media
- 5 Doppler radar signal theory and spectral estimation
- 6 Dual-polarized radar systems and signal processing algorithms
- 7 The polarimetric basis for characterizing precipitation
- 8 Radar rainfall estimation
- Appendices
- 1 Review of electrostatics
- 2 Review of vector spherical harmonics and multipole expansion of the electromagnetic field
- 3 T-matrix method
- 4 Solution for the transmission matrix
- 5 Formulas for variance computation of autocorrelation functions, their magnitude, and phase, and for estimators in the periodic block pulsing scheme
- References
- Index
3 - T-matrix method
Published online by Cambridge University Press: 14 October 2009
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- Notation
- 1 Electromagnetic concepts useful for radar applications
- 2 Scattering matrix
- 3 Wave, antenna, and radar polarization
- 4 Dual-polarized wave propagation in precipitation media
- 5 Doppler radar signal theory and spectral estimation
- 6 Dual-polarized radar systems and signal processing algorithms
- 7 The polarimetric basis for characterizing precipitation
- 8 Radar rainfall estimation
- Appendices
- 1 Review of electrostatics
- 2 Review of vector spherical harmonics and multipole expansion of the electromagnetic field
- 3 T-matrix method
- 4 Solution for the transmission matrix
- 5 Formulas for variance computation of autocorrelation functions, their magnitude, and phase, and for estimators in the periodic block pulsing scheme
- References
- Index
Summary
The transition (or T-) matrix method is a numerical scattering solution first developed by Waterman (1971), and is also referred to as the extended boundary condition method (EBCM). Barber and Yeh (1975) give a clear exposition of the method for dielectric particles, and the computational method for rotationally symmetric particles is fully described in the book by Barber and Hill (1990). Only a brief overview of the method is provided here since it has been used extensively in the past for radar meteorological applications (e.g. Seliga and Bringi 1978).
- Type
- Chapter
- Information
- Polarimetric Doppler Weather RadarPrinciples and Applications, pp. 591 - 594Publisher: Cambridge University PressPrint publication year: 2001