Abstract
The formalism of generalized diffraction integral for paraxial misaligned optical systems is used to investigate the propagation of the Modified Bessel-Gaussian (MBG) beam through a misaligned thin lens. The properties of the propagation of MBG beam traveling through this misaligned ABCD optical system are discussed. A special case of misaligned circular thin lens is illustrated analytically and numerically. The shape of the MBG beam at the exit of the misaligned optical system is unchanged; however the center of the beam is shifted from the propagation axis in correlated manner with the design parameters of the optical system.
Highlights
Modified optical beams, such as zero central intensity beams and vortex beams, gained increasing importance in the recent years [1,2]
The formalism of generalized diffraction integral for paraxial misaligned optical systems is used to investigate the propagation of the Modified Bessel-Gaussian (MBG) beam through a misaligned thin lens
In order to validate our calculation of the propagation of MBG beams through a misaligned optical system, we studied the propagation of the considered beam through a circular thin lens
Summary
Modified optical beams, such as zero central intensity beams and vortex beams, gained increasing importance in the recent years [1,2]. These studies and others [12,13,14,15,16,17,18,19,20,21] intend to comprehend practical matters such as the impact of imperfections in the optical systems on the propagation of the MBG beams Such imperfections, which translate into misalignment of the optical systems, may be due in one hand to the design and manufacturing mishaps and in other hand due to external perturbations such as thermally induced deformations and or the accumulation of dust and fingerprints, etc. In a recent work, Belafhal et al [20] have studied the propagation of truncated Bessel modulated Gaussian (QBG) beams traveling any misaligned ABCD optical system using the generalized diffraction integral formalism.
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