The generation of Bessel beams at millimetre-wave frequencies by use of an axicon

Monk, Stephen; Arlt, Jochen; Robertson, Duncan A.; Courtial, Johannes; Padgett, Miles J.

doi:10.1016/s0030-4018(99)00463-0

Cited by 129 publications

(73 citation statements)

References 8 publications

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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%

“…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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“…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%

Section: Introductionmentioning

confidence: 99%

Quasi-Optical Bessel Resonator

Yu¹,

Dou²

2009

PIER

View full text Add to dashboard Cite

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“…It is known that an ideal Bessel beam would have an infinite bound in the cross-section and possess an infinite amount of energy. Consequently, a true Bessel beam cannot be generated physically [3]. In order to overcome the difficulties in practically producing Bessel beams, the transformative beams, i.e., Bessel-Gauss beams were thus brought forward [4,5].…”

Section: Introductionmentioning

confidence: 99%

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

Yu¹,

Dou²

2013

PIER

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Abstract-A research of a quasi-optical Bessel-Gauss resonator (QOBGR) at millimeter (MM) and submillimeter (SubMM) wavebands is presented in this paper. The design is based on the quasioptical theory and technique. The iterative Stratton-Chu formula (ISCF) algorithm is employed to analyze the output characteristics of the cavity, including the resonant modes, phases, power losses and phase shifts. Analysis of the results demonstrates that the present design of the QOBGR can support zero order or any high order mode of the pseudo Bessel-Gauss beam. At the output plane the intensity distributions of these modes are modulated by a Gauss-shaped envelope, and their phase patterns have an approximate block-like profile. Tolerance analysis for the designed QOBGR is also done. Lastly, a comparison of resonating modes is made between QOBR (quasi-optical Bessel resonator) and QOBGR when both are configured with the same geometric parameters.

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“…These properties together make Bessel beams extremely useful in many applications. In optics they could have potential applications, such as optical alignment, optical interconnection, and promotion of free electron laser gain [3], and they may be useful in measurement, communications and imaging applications [4,5] at mm-and sub mmwavelengths. An ideal Bessel beam cannot be created, as it is unbounded and therefore requires an infinite amount of energy [6].…”

Section: Introductionmentioning

confidence: 99%

“…However, reasonably good approximations can be made. Currently, numerous approaches for generating Bessel beams have been proposed, such as axicons [4], computer-generated holograms (CGH's) [7,8] and diffractive optical elements (DOE's) [9], among which the simplest and easiest realization scheme is using axicons. Accordingly, much interest has been provoked in design and analysis of axicons [10], and the number of axicon applications has also increased significantly in the last few years [11].…”

Section: Introductionmentioning

confidence: 99%

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

Yu¹,

Dou²

2008

PIER

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Abstract-An axicon, which images a point source into a line along the optic axis, is used widely to generate an approximation to a Bessel beam. More recently many novel axicons, such as Fresnel axicons, Fractal axicons and fractal conical lenses (FCLs), have been proposed. Understanding the properties of Bessel beams generated by these axicons is very helpful to research their applications. However, in optical region, all of them are calculated approximately by the scalar theory. To accurately analyze FCLs when illuminated by a plane wave at millimeter wavelengths, the rigorous electromagnetic analysis method, which combines a two-dimension finite-difference time-domain (2-D FDTD) method and Stratton-Chu formulas, is adopted in our paper. By using this method, the properties of approximate Bessel beams generated by FCLs are analyzed and the conclusions are given.

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The generation of Bessel beams at millimetre-wave frequencies by use of an axicon

Cited by 129 publications

References 8 publications

Quasi-Optical Bessel Resonator

Quasi-Optical Bessel Resonator

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

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

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