Title :
Driven eigenproblem computation in periodic structures accelerated with Brent´s method
Author :
Huanlei Chen ; Eibert, Thomas F. ; Wenquan Che
Author_Institution :
Lehrstuhl fur Hochfrequenztech., Tech. Univ. Munchen, Munich, Germany
Abstract :
The driven eigenproblem computation opens up the possibility to solve eigenproblems as excitation problems by utilising the analogy to resonators, especially for periodic structures like substrate integrated waveguides or metamaterials which can be modelled as a unit cell. The eigenvalue (wavevector, resonance frequency) can be efficiently searched by monitoring a field observable, for example, based on the electric field or the transmitted power. Therefore, the eigenvalue searching procedure can be converted to a maximisation of the observable over the complex plane of the wavevector at each frequency. The Brent´s and Powell´s method are employed to accelerate the maximisation. A grounded corrugated leaky-wave antenna is analysed in both infinite- and finite-width cases to verify the method. As a further example, a doubly periodic mushroom struture is analysed.
Keywords :
eigenvalues and eigenfunctions; leaky wave antennas; periodic structures; Brent method; Powell method; doubly periodic mushroom struture; eigenproblem computation; eigenvalue searching procedure; electric field; excitation problem; finite-width case; grounded corrugated leaky-wave antenna; metamaterial; resonance frequency; resonator; substrate integrated waveguide; transmitted power; unit cell; wavevector;
Journal_Title :
Microwaves, Antennas & Propagation, IET
DOI :
10.1049/iet-map.2012.0249