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Local angular spectrum of the disturbance of a monochromatic wave field
Russian version
Lyakin D.V.1, Ryabuho V.P.1
1Institute of Precision Mechanics and Control, Russian Academy of Sciences, Saratov, Russia
Email: LDV-77@mail.ru
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A theoretical study of the influence of the spatial position of an observation point on the angular spectrum of the disturbance of a scalar monochromatic light wave field which source has a finite linear aperture is carried out. The concept of a local angular spectrum of a wave field disturbance is introduced. It is shown that, in contrast to the angular spectrum classically defined in the infinite plane of the field cross-section, and which for this reason can be called the total angular spectrum of the wave field, the local angular spectrum of the wave field disturbance is different for different observation points and is determined by both the size and shape of the linear aperture of the source and the coordinates of the position of the observation point. The expressions for determining the local angular spectrum, the law of change of this spectrum during the propagation of an optical wave field in free space, the connection of the local angular spectrum of a separate disturbance with the total angular spectrum of the wave field are obtained. Keywords: angular spectrum, Fourier transform, spatial frequencies, scalar monochromatic wave field, extended light source.
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