Propagation of off-axial Hermite–cosine–Gaussian beams through an apertured and misaligned ABCD optical system

• Published in: Optics communications Vol. 224; no. 1; pp. 5 - 12
• Main Authors: Zhao, Daomu, Mao, Haidan, Zhang, Weichun, Wang, Shaomin
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 15.08.2003; Elsevier Science
• Subjects: Diffraction integral; Exact sciences and technology; Fundamental areas of phenomenology (including applications); Hermite–cosine–Gaussian beams; Matrix optics; Misaligned optical systems; Optics; Physics; Wave optics; Wave propagation, transmission and absorption; 42.25.Fx; 42.25.Bs; Hermite–cosine–Gaussian beams; Misaligned optical systems; 41.85.Ct; Matrix optics; Diffraction integral; ABCD matrix; Electromagnetic wave propagation; Intensity distribution; Digital simulation; Analytical method; Theoretical study; Optical alignment; Hermite Gaussian mode
• ISSN: 0030-4018; 1873-0310
• DOI: 10.1016/S0030-4018(03)01729-2

By introducing the hard aperture function into a finite sum of complex Gaussian functions, an approximate analytical expression for the one-dimensional off-axial Hermite–cosine–Gaussian beams passing through an apertured and misaligned paraxially ABCD optical system has been derived. As special cases, the corresponding closed-forms for the off-axial or non-off-axial Hermite–cosine–Gaussian beams passing through apertured or unapertured and misaligned or aligned paraxially ABCD optical systems have also been given. The results provide more convenient for studying their propagation and transformation than the usual way by using diffraction integral directly, which can be straightforward to the two-dimensional case. Some numerical examples are also illustrated.