# Comments to the Dispersion Properties of the Closed-Ring Accelerating Structure

## TL;DR

This paper analyzes the dispersion properties of the Closed Ring accelerating Structure (CRS), highlighting its potential and challenges for use in compact linear accelerators for electrons and protons.

## Contribution

It provides a detailed analysis of CRS dispersion properties, revealing issues that raise concerns about its effectiveness in accelerator applications.

## Key findings

- CRS has attractive RF and technological properties.
- Dispersion analysis reveals problematic features.
- Concerns about CRS's suitability for practical use.

## Abstract

Closed Ring accelerating Structure (CRS) externally has a set of very attractive properties, both in RF parameters and in technological aspects. The structure was proposed for application in compact linear accelerators of electrons. Procedure of tuning and structure manufacturing was developed. The structure is now proposed for protons acceleration in medium energy range.\\ For this structure very unusual dispersion properties were declared. It simulates an additional consideration, to understand problem, and additional analysis was performed.\\ Results of analysis indicate particularities of the structure, generating strong hesitations for CRS.