Abstract

Wavelet analysis is a new kind of analysis method and it shows better and better vitality in variety academic disciplines. In recent years, someone have been realized some special modal wavelet transform with the optical systems in optical field. If we study phenomenon of optical propagation from another angle which different from the Huygens-Fresnel Principle, it may consider that the wave-front is limited in the propagation of optical wave when it encounters an obstacle or an aperture (Of course, the obstacle and the aperture must be very small). The propagating circumstance after limitation may be considered as the weight of each point at limited aperture is redistributed, that is, the wave-front of an optical wave is being filtered when it goes through an aperture. Therefore, we build a new optical theory that we call it wavelet optics. Then it analyzes several phenomenon of typical optical diffraction, the filtering in spatial domain and spatial frequency domain and an optical system of formation of image with wavelet analysis. The results show

© 1999 Optical Society of America