Huygens--Fresnel--Kirchoff wave-front diffraction formulation: spherical waves

Journal Article · Tue Aug 01 04:00:00 EDT 1989 · J. Opt. Soc. Am. A; (United States)

DOI:https://doi.org/10.1364/JOSAA.6.001196· OSTI ID:5936432

Kraus, H G

The Huygens--Fresnel diffraction integral has been formulated for incident spherical waves with use of the Kirchhoff obliquity factor and the wave front as the surface of integration instead of the aperture plane. Accurate numerical integration calculations were used to investigate very-near-field diffraction for the well-established case of a circular aperture. It is shown that the classical aperture-plane formulation degenerates when the wave front, as truncated at the aperture, has any degree of curvature to it, whereas the wave-front formulation produces accurate results from /infinity/ up to one aperture diameter behind the aperture plane. It is also shown that the Huygens--Fresnel--Kirchhoff incident-plane-wave--aperture-plane-integration and incident-spherical-wave--wave-front-integration formulations produce equally accurate results for apertures with exit /ital f/-numbers as small as 1.

• Research Organization: Idaho National Engineering Laboratory, EG G Idaho, Incorporated, P.O. Box 1625, Idaho Falls, Idaho 83415(US)
• DOE Contract Number: AC07-76ID01570
• OSTI ID: 5936432
• Journal Information: J. Opt. Soc. Am. A; (United States), Journal Name: J. Opt. Soc. Am. A; (United States) Vol. 6:8; ISSN JOAOD
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APERTURES
CIRCULAR CONFIGURATION
COHERENT SCATTERING
CONFIGURATION
DIFFRACTION
FRESNEL LENS
HUYGENS PRINCIPLE
LENSES
OPENINGS
OPTICS
SCATTERING