By F. Gallemi W. Peeters
Фотоальбом,посвященный английскому истребителю Hawker Harricane модификации Mk XII
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2-8) and its plane wave solution then becomes <(D , t) œ expÒ4Ð=! t k! DÑÓ œ expÒ4Ð=! 2-9) where )ÐDÑ œ k! D œ #-1! D is called the phase of the wave with -! indicating the wavelength of the wave. Ñ œ !. , the phase is zero. At D œ -! , we have )ÐD œ -! Ñ œ #-1! -! œ #1. So for every distance of propagation of a wavelength, the phase of the wave gains #1. Therefore, we have what is known as the planar wavefronts along the D-direction. The situation is demonstrated in Fig. 3. Fig. 3 Plane wave propagating along the D -direction exhibiting planar wavefronts.
Poon and P. P. Banerjee, Elsevier 2001, pp. 64-65. 1 Ideal Lens and Optical Fourier Transformation In the previous section, we have discussed light diffraction by apertures. In this section, we will discuss the passage of light through an ideal lens. An ideal lens is a phase object. When an ideal focusing (or convex) lens has focal length 0 , its phase transformation function, >0 ÐBß CÑ, is given by >0 ÐBß CÑ œ exp Ò4 5! 4-1) where we have assumed that the ideal lens is infinitely thin. For a uniform plane wave incident upon the lens, the wavefront behind the lens is a converging spherical wave (for 0 > 0) that converges ideally to a point source ( a distance of D œ 0 ) behind the lens.
D! Ñ œ $ ÐB B! ß C C! Ñ‡2ÐBß Cà D! Ñ œ expÐ 45! D! Ñ 45! 45! ÒÐB B! Ñ# +ÐC C! Ñ# Ó expÒ Óß # 1 D! #D! and what is recorded is >ÐBß CÑ º MÐBß CÑ œ |<: ÐBß Cà B! ß C! , D! Ñ|2 œ Ð 5! # Ñ , # 1 D! 5-2) which is identical to the result given by Eq. 5-1). Again the phase information of <: ÐBß Cà B! ß C! ,D! , B! ß C! , and D! , is mostly lost. Wave Optics and Holography 51 Holography is an extraordinary technique that was invented by Gabor , where not only the amplitude, but also the phase of a light field can be recorded.