Physics
Scientific paper
May 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976phrvd..13.2694p&link_type=abstract
Physical Review D - Particles and Fields, 3rd Series, vol. 13, May 15, 1976, p. 2694-2699.
Physics
7
Absorption Cross Sections, Antenna Design, Cylindrical Antennas, Cylindrical Waves, Gravitational Waves, Approximation, Boundary Conditions, Boundary Value Problems, Circular Cylinders, Eigenvectors, Power Series
Scientific paper
The Pochhammer-Chree approximation is used to calculate the axisymmetric eigenfunctions of a right circular cylinder and gives a correct result to the second order in the mode parameter alphan when the radius to length ratio of the cylinder is small. Using this solution, an analytical expression to second order in alphan is obtained for the gravitational wave absorption cross section of a Weber-type cylindrical antenna undergoing free axisymmetric longitudinal vibrations. Eigenfrequencies and eigenfunctions are represented as power series in the radius to length ratio and recurrence relations between the coefficients are obtained by satisfying the boundary conditions order by order.
Paik Ho Jung
Wagoner Robert V.
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