Title :
The Gaussian beam expansion applied to Fresnel field integrals
Author :
Desheng Ding ; Jianyi Xu
Author_Institution :
Dept. of Electron. Eng., Southeast Univ., Nanjing, China
Abstract :
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.
Keywords :
Fresnel diffraction; integral equations; laser beams; optics; Fresnel field integrals; Gaussian angular-spectrum expansion; Gaussian beam expansion; reciprocity relation; Acoustic beams; Acoustic diffraction; Apertures; Computer applications; Gaussian distribution; Gaussian processes; Laser beams; Optical diffraction; Two dimensional displays; Ultrasonic transducers;
Journal_Title :
Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on
DOI :
10.1109/TUFFC.2006.1588411
