Pulsed field diffraction by a perfectly conducting wedge: a spectral theory of transients analysis
- 1 June 1994
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Antennas and Propagation
- Vol. 42 (6) , 781-789
- https://doi.org/10.1109/8.301696
Abstract
The canonical problem of pulsed field diffraction by a perfectly conducting wedge is analyzed via the spectral theory of transients (STT). In this approach the field is expressed directly in the time domain as a spectral integral of pulsed plane waves. Closed-form expressions are obtained by analytic evaluation of this integral, thereby explaining explicitly in the time domain how spectral contributions add up to construct the field. For impulsive excitation the final results are identical with those obtained previously via time-harmonic spectral integral techniques. Via the STT, the authors also derive new solutions for a finite (i.e., nonimpulsive) incident pulse. Approximate uniform diffraction functions are derived to explain the field structure near the wavefront and in various transition zones. They are the time-domain counterparts of the diffraction coefficients of the geometrical theory of diffraction (GTD) and the uniform theory of diffraction (UTD). An important feature of the STT technique is that it can-be extended to solve the problem of wedge diffraction of pulsed beam fields (i.e., space-time wavepackets).Keywords
This publication has 12 references indexed in Scilit:
- Pulsed beam diffraction by a perfectly conducting wedge: local scattering modelsIEEE Transactions on Antennas and Propagation, 1995
- Pulsed beam diffraction by a perfectly conducting wedge: exact solutionIEEE Transactions on Antennas and Propagation, 1994
- Pulsed beam reflection and transmission at a dielectric interface: two-dimensional fieldsIEEE Transactions on Antennas and Propagation, 1990
- Time domain version of the uniform GTDIEEE Transactions on Antennas and Propagation, 1990
- Weakly dispersive spectral theory of transients, part III: ApplicationsIEEE Transactions on Antennas and Propagation, 1987
- Weakly dispersive spectral theory of transients, part II: Evaluation of the spectral integralIEEE Transactions on Antennas and Propagation, 1987
- Spectral analysis of complex-source pulsed beamsJournal of the Optical Society of America A, 1987
- Weakly dispersive spectral theory of transients, part I: Formulation and interpretationIEEE Transactions on Antennas and Propagation, 1987
- Diffraction of the Pulsed Field from an Arbitrarily Oriented Electric or Magnetic Dipole by a Perfectly Conducting WedgeSIAM Journal on Applied Mathematics, 1974
- On the diffraction and reflection of waves and pulses by wedges and cornersJournal of Research of the National Bureau of Standards, 1958