Intensity distributions of Bessel-Gaussian beam in a fractional Fourier plane
-
Received Date:
2004-05-08
Accepted Date:
2004-06-15
-
Abstract
By using the general diffraction integration method,the transformation property of Bessel-Gaussian(BG) beam in a fractional Fourier plane was studied,and closed-form transformation expression was derived for the BG beam through the LohmannⅡ optical system.By using the derived formula,typical numerical calculation results were obtained to study the influences of the fractional order on the properties of BG beam in the fractional Fourier plane.It is shown that the intensity of BG beam depends on the fractional order p and the variation of the intensity with fractional order p is periodic.
-
-
References
[1]
|
LOHMANN A W.Image rotation,Wigner rotation,and the fractional Fourier transform [J].J O S A,1993,A10(10):2181~2186. |
[2]
|
NAMIAS V.The fractional Fourier transform and its application in quantum mechanics [J].J Inst Math Appl,1980,25(2):241~265. |
[3]
|
BERNARDO L M,DSOARES O D.Fractional Fourier transform and imaging [J].J O S A,1994,A11(6):2622~2626. |
[4]
|
DORSCH G,LOHMANN A W,BITRAN Y et al.Chirp flitering in the fractional Fourier domain [J].Appl Opt,1994,23(4):7599~7602. |
[5]
|
OZAKTAS H M,MENDLOVIC D.Fractional Fourier transform as a tool for analyzing beam propagation and mirror resonators [J].Opt Lett,1994,19(21):1678~1680. |
[6]
|
DURNIN J,MICELI J J,EBERLY F.Diffraction-free beam [J].Phys Rev Lett,1987,58(15):1499~1505. |
[7]
|
LIN Y,SEKA W,VICARI L.Experimental investigation of Bessel beam characteristics [J].Appl Opt,1992,31(5):2708~2713. |
[8]
|
HERMAN R M,WIGGINS T A.Production and uses of diffractionless beams [J].J O S A,1991,A8(6):932~938. |
[9]
|
GORI F,GUATTARI G,PADORANI C.Bessel-Gauss beam [J].Opt Commun,1987,64:491~496. |
[10]
|
COLLINS S A.Lens-system diffraction integral written terms of matrix optics [J].J O S A,1970,60(7):1168~1177. |
[11]
|
ERDELYI A,MAGNUS W,OBERHETTINGER F et al.Tables of integral transforms [M].New York:Mcgraw-Hill Book Company,1954.523~525. |
-
-
Proportional views
-