Image of Optical Diffraction Radiation (Odr) Source and Spatial Resolution of Odr Beam Profile Monitor

Abstract

The approach to obtain the image shape of an optical diffraction radiation (ODR) source focused by lens on a detector with taking into account the "pre-wave zone" effect has been developed. In full analogy with optical transition radiation source the characteristic size of ODR slit image doesn't depend on the Lorentz-factor and is defined by slit width, wavelength and lens aperture.If a beam is passed through a narrow slit the shape of a slit image depends on a beam size. ODR generated by extremely ultrarelativistic beam passing through a narrow slit may be used to determine the beam size from ODR slit image.

Imaging of optical diffraction radiation in pre-wave zone and spatial resolution of non-invasive beam size diagnostics

“…In accordance with approach developed in [7] one may obtain the following expressions for both polarized components of a field on a target surface:…”

“…Following [7] let us consider the image of an ODR source with regard to the ''pre-wave zone" effect. For simplification of calculations let us consider backward diffraction radiation (BDR) for a perpendicular particle passing near the target.…”

Simulation of transition radiation based beam imaging from tilted targets

“…(6) can be carried out analytically in polar coordinates as shown in Refs. [11][12][13][14][15]. The electric field in the image plane can be written as…”

“…[12] Castellano and Verzilov investigated the SPF characteristics in the case of ideal imaging. Further investigations were carried out by Potylitsyn [13] who studied the influence of the prewave zone effect on the OTR SPF, and by Xiang and Huang [14] who investigated some aspects of the beam imaging resolution. The first systematic resolution study of an OTR based beam profile monitor in view of a dedicated application was made by Kube in Ref.…”

Backward transition radiation in the extreme ultraviolet region as a tool for the transverse beam profile diagnostic

“…The PSF describes the image of a point source, i.e., the image of a single electron in the case of OTR generation. The OTR PSF was investigated for the first time by Castellano and Verzilov [14], and later in more detail by Potylitsyn [15], Xiang and Huang [16], and Kube [17]. It was shown that the PSF has a double-lobe structure defined by the radiation wavelength, the acceptance of the optical system, and the alignment accuracy.…”