Fresnel diffraction at an opaque strip expressed by means of asymptotic representations of Fresnel integrals

0387488 - FZÚ 2013 RIV US eng J - Journal Article
Šmíd, Petr - Horváth, P.
Fresnel diffraction at an opaque strip expressed by means of asymptotic representations of Fresnel integrals.
Journal of the Optical Society of America A. Roč. 29, č. 6 (2012), s. 1071-1077. ISSN 1084-7529. E-ISSN 1520-8532
R&D Projects: GA MŠMT(CZ) 1M06002; GA AV ČR KAN301370701
Institutional research plan: CEZ:AV0Z10100522
Keywords : Fresnel integrals * Fresnel diffraction
Subject RIV: BH - Optics, Masers, Lasers
Impact factor: 1.665, year: 2012

The paper presents an asymptotic expression of relative intensity distribution in a Fresnel diffraction pattern at an opaque straight strip illuminated with a spherical wave. The asymptotic expression is used in an analysis showing an area of validity where the asymptotic expression reduces to an asymptotic expression of relative intensity distribution in a Fresnel diffraction at a half plane. The area of validity is defined through width of the geometrical shadow in a Fresnel diffraction pattern at an opaque straight strip and distance of a point under study to the center of the Fresnel diffraction pattern. Within this area, relative intensity in the Fresnel diffraction pattern at an opaque straight strip shows sinusoidal behavior, which can be used in easy location of maxima or minima of the relative intensity. The result of the analysis is supported by experiments realized in the area of validity and outside it.
Permanent Link: http://hdl.handle.net/11104/0216575