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Scalar diffraction from a circular aperture is a ubiquitous problem
that arises in a variety of disciplines, such as optics (lenses),
acoustics (speakers), electromagnetics (dish antennas), and
ultrasonics (piston transducers). The problem endures despite
centuries of research because each new generation of researchers
rediscovers it and adds some novel insight or new result to the
existing literature. Scalar Diffraction from a Circular Aperture
promises a few new results and several novel insights, particularly
with regard to spatial averaging. Although the text emphasizes
ultrasonic diffraction, the results and insights developed are
general and may be applied to the many practical problems involving
scalar diffraction from a circular aperture. Included are novel
insights on mirror-image diffraction, autoconvolution diffraction,
and coherent and incoherent averaging. Examples from ultrasonic
imaging, a coherent imaging modality, are used to develop a fairly
general theory that connects over a century of research on scalar
diffraction from a circular aperture. The material is based on a
synthesis of mathematics, physical optics, linear systems theory,
and scalar diffraction theory. Thus, engineers, scientists,
mathematicians, and students working in optics, acoustics, antenna
design, biomedical engineering, non-destructive testing, and
astronomy will find Scalar Diffraction from a Circular Aperture
interesting, provocative, and useful.
Scalar diffraction from a circular aperture is a ubiquitous problem
that arises in a variety of disciplines, such as optics (lenses),
acoustics (speakers), electromagnetics (dish antennas), and
ultrasonics (piston transducers). The problem endures despite
centuries of research because each new generation of researchers
rediscovers it and adds some novel insight or new result to the
existing literature. Scalar Diffraction from a Circular Aperture
promises a few new results and several novel insights, particularly
with regard to spatial averaging. Although the text emphasizes
ultrasonic diffraction, the results and insights developed are
general and may be applied to the many practical problems involving
scalar diffraction from a circular aperture. Included are novel
insights on mirror-image diffraction, autoconvolution diffraction,
and coherent and incoherent averaging. Examples from ultrasonic
imaging, a coherent imaging modality, are used to develop a fairly
general theory that connects over a century of research on scalar
diffraction from a circular aperture. The material is based on a
synthesis of mathematics, physical optics, linear systems theory,
and scalar diffraction theory. Thus, engineers, scientists,
mathematicians, and students working in optics, acoustics, antenna
design, biomedical engineering, non-destructive testing, and
astronomy will find Scalar Diffraction from a Circular Aperture
interesting, provocative, and useful.
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