Bracketing of cutoff frequencies of uniform waveguides with eccentric circular geometry by the Rayleigh-Ritz method

Details Bracketing of cutoff frequencies of uniform waveguides with eccentric circular geometry by the Rayleigh-Ritz method Bracketing of cutoff frequencies of uniform waveguides with eccentric circular geometry by the Rayleigh-Ritz method

Jun 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990jsv...139..337z&link_type=abstract

Journal of Sound and Vibration, Volume 139, Issue 2, p. 337-345.

Computer Science

Sound

Scientific paper

This paper deals with an extension of the Rayleigh-Ritz method for bracketing eigenvalues of self-adjoint differential operators. The proposed extension uses a simple formula which gives lower bounds of eigenvalues requiring only the Rayleigh-Ritz eigenfunction approximations and a rough lower bound of some higher eigenvalue. The combination of this extended Rayleigh-Ritz method with the widely used exact conformal mapping technique enables one to obtain eigenvalue bounds of the Helmholtz equation defined on the regions with complicated boundary shape. Numerical results concerning the cutoff frequencies of the eccentric annular, eccentric lunar and eccentric inverted lunar waveguide are presented.

Affiliated with

Also associated with

No associations

Rating

Bracketing of cutoff frequencies of uniform waveguides with eccentric circular geometry by the Rayleigh-Ritz method does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bracketing of cutoff frequencies of uniform waveguides with eccentric circular geometry by the Rayleigh-Ritz method, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bracketing of cutoff frequencies of uniform waveguides with eccentric circular geometry by the Rayleigh-Ritz method will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-987927