The Gaussian beam expansion applied to Fresnel field integrals

A general result of the Gaussian angular-spectrum expansion is presented for computing the Fresnel field integral. The reciprocity relation of the Gaussian expansion parameters in both coordinate and angular-spectrum domains is obtained. Some examples are provided that demonstrate the usefulness of...

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Bibliographic Details
Published in:IEEE transactions on ultrasonics, ferroelectrics, and frequency control ferroelectrics, and frequency control, 2006-01, Vol.53 (1), p.246-250
Main Authors: Ding, Desheng, Xu, Jianyi
Format: Article
Language:English
Subjects:
Acoustic beams
Acoustic diffraction
Acoustics
Apertures
Computation
Computer applications
Exact sciences and technology
Ferroelectric materials
Frequency control
Fundamental areas of phenomenology (including applications)
Gaussian
Gaussian beams (optics)
Gaussian distribution
Gaussian processes
General equipment and techniques
Instruments, apparatus, components and techniques common to several branches of physics and astronomy
Integrals
Laser beams
Mathematical models
Optical diffraction
Physics
Reciprocity
Transducers
Two dimensional displays
Ultrasonic transducers
Ultrasonics, quantum acoustics, and physical effects of sound
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Summary:A general result of the Gaussian angular-spectrum expansion is presented for computing the Fresnel field integral. The reciprocity relation of the Gaussian expansion parameters in both coordinate and angular-spectrum domains is obtained. Some examples are provided that demonstrate the usefulness of this relation.
ISSN:0885-3010
1525-8955
0885-3010
DOI:10.1109/TUFFC.2006.1588411