### Abstract

The classic method used to derive a functional is to construct a quadratic form by premultiplying the wave equation by the conjugate field, and then integrating this quantity over the cross section of the problem region. This procedure is utilized to construct a solution of the longitudinally magnetized gyromagnetic problem using the z-directed coupled wave equations. It is used in conjunction with the finite-element method to evaluate the propagation constants of an elliptical gyromagnetic waveguide with either an electric or a magnetic wall. The well-known functionals associated with the four possible planar circuits made up of electric and magnetic side, and top and bottom walls, are obtained directly from those of the related waveguide problems.

Original language | English |
---|---|

Pages (from-to) | 999-1005 |

Number of pages | 7 |

Journal | IEEE Transactions on Microwave Theory and Techniques |

Volume | v |

Issue number | 6 |

Publication status | Published - 1992 |

### Fingerprint

### Cite this

*IEEE Transactions on Microwave Theory and Techniques*,

*v*(6), 999-1005.

}

*IEEE Transactions on Microwave Theory and Techniques*, vol. v, no. 6, pp. 999-1005.

**Finite element solution of longitudinally magnetized elliptical gyromagnetic waveguides.** / Gibson, Andrew A P; Helszajn, Joseph.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Finite element solution of longitudinally magnetized elliptical gyromagnetic waveguides

AU - Gibson, Andrew A P

AU - Helszajn, Joseph

PY - 1992

Y1 - 1992

N2 - The classic method used to derive a functional is to construct a quadratic form by premultiplying the wave equation by the conjugate field, and then integrating this quantity over the cross section of the problem region. This procedure is utilized to construct a solution of the longitudinally magnetized gyromagnetic problem using the z-directed coupled wave equations. It is used in conjunction with the finite-element method to evaluate the propagation constants of an elliptical gyromagnetic waveguide with either an electric or a magnetic wall. The well-known functionals associated with the four possible planar circuits made up of electric and magnetic side, and top and bottom walls, are obtained directly from those of the related waveguide problems.

AB - The classic method used to derive a functional is to construct a quadratic form by premultiplying the wave equation by the conjugate field, and then integrating this quantity over the cross section of the problem region. This procedure is utilized to construct a solution of the longitudinally magnetized gyromagnetic problem using the z-directed coupled wave equations. It is used in conjunction with the finite-element method to evaluate the propagation constants of an elliptical gyromagnetic waveguide with either an electric or a magnetic wall. The well-known functionals associated with the four possible planar circuits made up of electric and magnetic side, and top and bottom walls, are obtained directly from those of the related waveguide problems.

UR - http://www.scopus.com/inward/record.url?scp=34250808535&partnerID=8YFLogxK

M3 - Article

VL - v

SP - 999

EP - 1005

JO - IEEE Transactions on Microwave Theory and Techniques

JF - IEEE Transactions on Microwave Theory and Techniques

SN - 0018-9480

IS - 6

ER -