Evolution from a Fraunhofer to a Pearcey diffraction pattern

Journal of Optics A: Pure and Applied Optics

Volumn 5, Issue 5, 2003, Pages 495-502

  Nye, J F ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

Caustic; Cusp; Diffraction; Fraunhofer; Optical vortices; Pearcey; Singularity optics; Wave dislocations

Indexed keywords

ABERRATIONS; APPROXIMATION THEORY; FOCUSING; OPTICAL ENGINEERING; OPTICAL INSTRUMENT LENSES; WAVE EQUATIONS;

OPTICAL VORTICES;

DIFFRACTIVE OPTICS;

EID: 0141484566     PISSN: 14644258     EISSN: None     Source Type: Journal    
DOI: 10.1088/1464-4258/5/5/310     Document Type: Article

References (8)

1. Berry M V 1992 Rays, wavefronts and phase: a picture book of cusps Huygens' Principle 1690-1990: Theory and Applications ed H Blok, H A Ferwerda and H K Kuiken (Amsterdam: North-Holland) pp 97-111
2. Berry M V, Nye J F and Wright F J 1979 The elliptic umbilic diffraction catastrophe Phil. Trans. R. Soc. A 291 453-84
3. Connor J N L and Farrelly D 1981 Theory of cusped rainbows in elastic scattering: uniform semiclassical calculations using Pearcey's integral J. Chem. Phys. 75 2831-46
4. NIST Digital Library of Mathematical Functions 2004 (to be published on line)
5. Nye J F 1999 Natural Focusing and Fine Structure of Light (Bristol: Institute of Physics Publishing)
6. Nye J F 2003 From Airy rings to the elliptic umbilic diffraction catastrophe J. Opt. A: Pure Appl. Opt. 5 503-10 (following article)
7. Nye J F, Hajnal J V and Hannay J H 1988 Phase saddles and dislocations in two-dimensional waves such as the tides Proc. R. Soc. A 417 7-20
8. Pearcey T 1946 The structure of an electromagnetic field in the neighbourhood of a cusp of a caustic Phil. Mag. 37 311-17