Open AccessPhase space beam matrix method for evaluating geometrical aspect of fractional Fourier transform of light beams
Author(s) -
Baoxin Chen,
Ming Li,
Zhang Ai-Ju
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.4535
Subject(s) - paraxial approximation , fourier transform , transformation matrix , beam (structure) , fractional fourier transform , transformation (genetics) , gaussian beam , phase (matter) , dft matrix , optics , ray transfer matrix analysis , matrix (chemical analysis) , discrete fourier transform (general) , physics , mathematical analysis , fourier analysis , mathematics , classical mechanics , materials science , state transition matrix , symmetric matrix , chemistry , composite material , biochemistry , kinematics , quantum mechanics , eigenvalues and eigenvectors , gene
In this paper, a simple technique to determine the geometrical properties of fractional Fourier transform of paraxial beams based on the phase space beam transformation matrix is presented. Taking the elliptic Gaussian beam as an example, we have compared our analysis technique with that of previous work and found that the present method is more reliable in predicting the geometrical properties of fractional Fourier transform of beams and has the advantage of clear intuitive physical insight into beam propagation and transformation process from a geometrical viewpoint. This technique provides a simple and convenient way to study propagation and transformation properties of light beams in a novel approach.