Huygens--Fresnel--Kirchoff wave-front diffraction formulation: spherical waves
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), Vol. 6:8
- Country of Publication:
- United States
- Language:
- English
Similar Records
Huygens-Fresnel Wave-Optics Simulation of Atmosphere Optical Turbulence and Reflective Speckle in CO{sub 2} Differential Absorption Lidar (DIAL)
Huygens-Fresnel Wave-Optics Simulation of Atmospheric Optical Turbulence and Reflective Speckle in CO