Properties of Approximate Bessel Beams at Millimeter Wavelengths Generated by Fractal Conical Lens

Yu, Yanzhong; Dou, Wenbin

doi:10.2528/pier08100606

Cited by 12 publications

(11 citation statements)

References 28 publications

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“…More recently, Bessel beams at mm-and sub mm-bands have been produced by us using binary optical elements (BOE's) [6][7][8][9]. Therefore, it is necessary and significant that the comparison of propagation of apertured Bessel and Gaussian beams is done at millimeter wavelengths, because this is helpful to determine which beam should be selected to transmit powers or signals.…”

Section: Introductionmentioning

confidence: 99%

A Comparison of Propagation Between Apertured Bessel and Gaussian beams

Lin¹,

2009

J Infrared Milli Terahz Waves

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A true Bessel beam is a family of diffraction-free beams. Thus the most interesting and attractive characteristic of such beam is non-diffracting propagation. In optics, the comparisons of maximum propagation distance had been done between Bessel and Gaussian beams by Durnin and Sprangle, respectively. However, the results obtained by them are conflict due to the difference between their criteria. Because Bessel beams have many potential applications in millimeter wave bands, therefore, it is necessary and significant that the comparison is carried out at these bands. A new contrast criterion at millimeter wavelengths is proposed in our paper. Under this criterion, the numerical results are presented and a new conclusion is drawn.

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Section: Introductionmentioning

confidence: 99%

A Comparison of Propagation Between Apertured Bessel and Gaussian beams

Lin¹,

2009

J Infrared Milli Terahz Waves

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“…Examples can be found in [7,8,[12][13][14][15][16]. To our knowledge, no active schemes have been reported at these wavebands as yet.…”

Section: Introductionmentioning

confidence: 99%

“…It is known that an axicon converts an incident plane wave into an approximation to Bessel beam [11][12][13][14], located within the interference zone ECFD, as depicted in Fig. 1(a).…”

Section: Qobr Designmentioning

confidence: 99%

“…Numerous approaches to generate pseudo Bessel beams have been suggested, which can be sorted roughly into two classes [3][4][5], i.e., passive and active schemes. The first class uses the spatial filter to transform an incident beam into an approximation to Bessel beam, such as narrow annular slit [2], computer-generated holograms (CGHs) [6][7][8], Fabry-Perot cavity [9], optical refracting systems [10], axicon [11][12][13][14] and diffractive phase elements (DPEs) [15][16][17]. The other class is formed by methods relying on a resonator frame to produce the Bessel-type modes.…”

Section: Introductionmentioning

confidence: 99%

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Quasi-Optical Bessel Resonator

Yu¹,

Dou²

2009

PIER

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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.

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“…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].…”

Section: Introductionmentioning

confidence: 99%

Features of the Gouy Phase of Nondiffracting Beams

Matos¹,

Vaveliuk²,

Torchia³

2013

PIER

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Abstract-It is shown how the linear Gouy phase of an ideal nondiffracting beam of ±(k − k z )z form, with k z being the projection of the wavevector of modulus k of the plane wave spectrum onto the propagation axis z, is built from a rigorous treatment based on the successive approximations to the Helmholtz equation. All of different families of nondiffracting beams with a continuum spectrum, as Bessel beams, Mathieu beams and Parabolic ones, as well as nondiffracting beams with a discrete spectrum, as kaleidoscopic beams, have an identical Gouy phase that fully governs the beam propagation dynamics. Hence, a real beam whose Gouy phase is close to that linear Gouy phase in a given range, will have nondiffracting-like properties on such a range. These results are applied to determine the effective regime in which a physically realizable beam can be treated as a nondiffracting one. As a fruitful example, the Gouy phase analysis is applied to fully establish the regime in which a Helmholtz-Gauss beam propagates with nondiffracting-like properties.

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Properties of Approximate Bessel Beams at Millimeter Wavelengths Generated by Fractal Conical Lens

Cited by 12 publications

References 28 publications

A Comparison of Propagation Between Apertured Bessel and Gaussian beams

A Comparison of Propagation Between Apertured Bessel and Gaussian beams

Quasi-Optical Bessel Resonator

Features of the Gouy Phase of Nondiffracting Beams

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