Quasi-Optical Bessel Resonator

Abstract

Abstract-In this paper, a quasi-optical Bessel resonator (QOBR) for generating approximations to Bessel-type modes at millimeter wavelengths has been designed and analyzed. A design approach is based on the quasi-optical techniques. In order to analyze the designed QOBR rigorously, a new method based on iterative StrattonChu formula (ISCF) is developed from the classical Fox-Li algorithm and its validity is demonstrated. Numerical results reveal that at the output plane the intensity distributions of the Bessel-type modes of the designed QOBR are modulated by a bell-shaped envelope, and their phase patterns have a block-shaped profile except slight distortion on the edges of the output plane due to aperture diffraction. The effect of varying the parameters of the designed QOBR on the relevant output characteristics is also examined in our study.

Investigation of Quasi-Optical Bessel-Gauss Resonator at Mm- And Submm-Wavelengths

“…Additionally, according to Eqs. (10) and (11) presented in article [17], the values of the power loss and phase shift per round-trip can be obtained, yielding δ = 0.1324% and Φ = 1.624 • , respectively.…”

“…So, in the present paper, we still employ the ISFC method to analyze the designed QOBGR in our spectrum. Since the principle and practical implementation of this algorithm are well described in literature [17], they will not be depicted herein. According to the configuration of cavity given in Section 3, we can form a reflective-type QOBGR readily.…”

“…Generally, the feature sizes of cavity are on the order of MM-wavelength, and the assumptions of typical scalar-based iterative method are violated in this feature size regime. In order to calculate precisely the field behavior in the designed cavity at MM-and SubMM-wavebands, an iterative algorithm, i.e., iterative Stratton-Chu formula (ISCF) method has been developed and its validity has been demonstrated in our previous work [17]. The ISCF method is analogous to the famous Fox-Li algorithm, but it applies the vector form of the Stratton-Chu formula for diffraction [25] to calculate precisely the electromagnetic field distributions in the cavity.…”

“…Therefore, a QOBGR supporting Bessel-Gauss modes at these wavebands is designed and analyzed for the first time in the present paper. A design of QOBGR is based on quasi-optical techniques, and an analysis of its output characteristics is done by employing the ISCF method, which is developed and validated in our previous paper [17]. We also carry out the research of tolerance analysis for the designed QOBGR.…”

Features of the Gouy Phase of Nondiffracting Beams

“…For instance, the Bessel beams form a orthogonal and complete set in the circular frame [5], the Mathieu beams form such a set in the elliptic frame [6], and the parabolic beams, in the parabolic frame [7]. Undoubtedly, the more famous family of NDBs are the Bessel beams due to their wide range of applications [8][9][10]. Zeroth-order mode [11] and higher-order modes of Bessel-like beams were experimentally generated [12] and their propagation properties were studied in free space [2,3] and in other nonconventional media, for instance, in the so-called q-plates [13].…”