Manifestation of a hidden dislocation wave originated in a plane-wave diffraction on a half-plane screen

Khizhnyak, Anatoliy; Anokhov, S. P.; Lymarenko, Ruslan A.; Soskin, M. S.; Vasnetsov, M. V.

doi:10.1117/12.370410

Cited by 3 publications

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“…Similarly to [6] and taking into account that (xa,0)  0 for x < a, we compose elementary waves (2) into wave D that satisfies the boundary condition: In the extreme case where the width of the slit width tends to zero, these waves create "evanescent" part of EDW [3] (Fig. 2).…”

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“…For half-plane diffraction without any additional approximations the diffracted field was represented as a superposition of four wave components. Two of them are ordinary plane waves with amplitudes half that of the incident wave, and other two are edge dislocation waves (EDW) [3].The approximation of slit diffraction is more correct then parabolic and can be written in form [4]:   …”

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Interaction wave at diffraction on slit

Lymarenko¹

2013

2013 International Conference on Advanced Optoelectronics and Lasers (CAOL 2013)

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New representation of field components of electromagnetic wave diffraction on a slit is proposed. It should be denoted that our solution of slit diffraction problem consist of two parts: diffraction field based of Fresnel complex integral derived from rigorous Sommerfield's solution and interaction wave described the peculiarity of diffraction process on subwavelength apertures. It is described the properties and peculiarities of the introduced component of diffraction field that corresponds to boundary condition in a Dirichlet-type screen.Based on earlier interpretation of Sommerfeld's solution [1,2] of the problem of plane wave diffraction by a half-plane screen, consider case of normal incidence of linear polarized plane wave on ideal conducting slit. For half-plane diffraction without any additional approximations the diffracted field was represented as a superposition of four wave components. Two of them are ordinary plane waves with amplitudes half that of the incident wave, and other two are edge dislocation waves (EDW) [3].The approximation of slit diffraction is more correct then parabolic and can be written in form [4]:  

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Interaction wave at diffraction on slit

Lymarenko¹

2013

2013 International Conference on Advanced Optoelectronics and Lasers (CAOL 2013)

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Refinement of a discontinuity-free edge-diffraction model describing focused wave fields

Sedukhin¹

2010

J. Opt. Soc. Am. A

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Two equivalent forms of a refined discontinuity-free edge-diffraction model describing the structure of a stationary focused wave field are presented that are valid in the framework of the scalar Debye integral representation for a diffracted rotationally symmetric converging spherical wave of a limited yet not-too-low angular opening. The first form describes the field as the sum of a direct quasi-spherical wave and a plurality of edge quasi-conical waves of different orders, the optimum discontinuity-free angular spectrum functions of all the waves being dependent on the polar angle only. According to the second form, the focused field is fully characterized by only three components--the same quasi-spherical wave and two edge quasi-conical waves of the zero and first order, of which the optimum discontinuity-free angular spectrum functions are dependent on both the polar angle and the polar radius counted from the geometrical focus.

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Diffraction of optical beams by a half-plane

Anokhov¹

2000

Semicond. Phys. Quantum Electron. Optoelectron.

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Rigorous solution of the optical beam diffraction problem on half plane is represented. Solution is described to representation of edge dislocation wave (EDW) that was introduced for describing the diffraction plane wave on half plane. It is shown that in problem of diffraction EDW plays the role of eigenmode as plane wave in free space. Due to this the solving of mentioned problem reduces to calculation of convolution of angle spectrum of source beam and EDW.

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Manifestation of a hidden dislocation wave originated in a plane-wave diffraction on a half-plane screen

Cited by 3 publications

References 0 publications

Interaction wave at diffraction on slit

Interaction wave at diffraction on slit

Refinement of a discontinuity-free edge-diffraction model describing focused wave fields

Diffraction of optical beams by a half-plane

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