English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

This paper presents the approximate analytical solutions to the longitudinalspace charge (LSC) impedances of a round beam with uniform transversedistribution and sinusoidal line density modulations under two boundaryconditions: (a) between parallel plates (b) inside a rectangular chamber,respectively. When the ratio of beam diameter to chamber height is small, theimage charge fields of the round beam can be approximated by those of a linecharge, the approximate analytical LSC impedances can be obtained by imagemethod. The derived theoretical LSC impedances are valid at any perturbationwavelength and are consistent well with the numerical simulation results in alarge range of ratios of beam diameters to chamber heights.

Approximate longitudinal space charge impedances of a round beam between parallel plates and inside a rectangular chamber