The conditions of maximum for the superposition field of wave source points system in the Fresnel pattern

Хачатрян, А. Ж.; Panosyan, Zh. R.; Vardanyan, G.P.; Parsamyan, A. F.

doi:10.1016/j.ijleo.2022.169372

Cited by 4 publications

(5 citation statements)

References 17 publications

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“…The necessary and sufficient conditions for applying the Fraunhofer approximation have the following form (see [22,23]):…”

Section: The Superposition Field Of Point Sources In Fraunhofer Patternmentioning

confidence: 99%

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The far-field diffraction of a plane wave on a system of randomly and in average periodically located point scatterers: the Debye-Waller factor

Khachatrian

2024

J. Inst.

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The description of the superposition field of a system of point sources with a random and, on average, periodic structure is considered. The description is given in the far field and the point sources are considered as centers of secondary sphere waves generated by an external plane wave. In contrast to the traditional approach, where description of the diffraction pattern is given on the base of wave field averaging, here the intensity is averaged. In the framework of the suggested approach the analytic formula of dependence of the average intensity on the direction observation is found. The influence of disorder on the values of intensity of main maximums of a periodic structure is investigated. It is shown that this influence depends on the ordinal numbers of the maximum and in the case of central main maximum this influence vanishes. The question of applicability of the Debye-Weller factor for describing of the statistic of diffracted field is discussed.

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“…The necessary and sufficient conditions for applying the Fraunhofer approximation have the following form (see [22,23]):…”

Section: The Superposition Field Of Point Sources In Fraunhofer Patternmentioning

confidence: 99%

“…In the present section will we consider the average intensity on the base of the intensity expression averaging (see (1.2)). The intensity expression in the Fraunhofer approximation has the form of (see, for example, [23])…”

Section: The Average Intensity On the Base Of Averaging Of The Intens...mentioning

confidence: 99%

The far-field diffraction of a plane wave on a system of randomly and in average periodically located point scatterers: the Debye-Waller factor

Khachatrian

2024

J. Inst.

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“…Note, that it as follows from condition (5), for an approximate description, first of all, it is necessary that the sources, as well as the observation point be close to the main observation axis, determined by the vector 0 R R . According to [15][16][17], the sufficient conditions for using the Fraunhofer approximation are as follows:…”

Section: The Fraunhofer Pattern Of the Superposition Fieldmentioning

confidence: 99%

“…Let the wave vectors of the incident field K K (2), as well as the observation direction k k (8) are located in the plane , X Z ; Using (9) it is easy to determine that in (18) the scalar product ( )…”

Section: The Intensity Of Diffracted Plane Fieldmentioning

confidence: 99%

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Diffraction of a scalar plane wave oblique incidence on a flat screen with a one thin slit

Khachatrian,

Aghabekyan,

Soghomonyan

et al. 2023

J. Phys.: Conf. Ser.

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In the framework of this work, we discuss the problem of diffraction of a plane and time-harmonic field on a flat screen with a single narrow slit. As a rule, this problem is considered for the case of normal incidence. At the same time, for a number of applied problems, in particular, the absorption of solar radiation by photocells, it is interesting to consider the general case of oblique incidence. In this work, the problem is solved in the Fraunhofer approximation. An analytical dependence of the intensity of the diffracted field on the direction of observation, the slit length, and the wavelength of the incident radiation is obtained.

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The Talbot effect in oblique observation of a diffraction pattern

Хачатрян

2023

Optik

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The conditions of maximum for the superposition field of wave source points system in the Fresnel pattern

Cited by 4 publications

References 17 publications

The far-field diffraction of a plane wave on a system of randomly and in average periodically located point scatterers: the Debye-Waller factor

The far-field diffraction of a plane wave on a system of randomly and in average periodically located point scatterers: the Debye-Waller factor

Diffraction of a scalar plane wave oblique incidence on a flat screen with a one thin slit

The Talbot effect in oblique observation of a diffraction pattern

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