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(a) A detector resolution spot contains a phase pattern, which consist of M=N1×N2 cells. (b) As an example of sub-matrix, SH2 is formed by the second row of a 4-order Hadamard matrix H(4)
(a) The sketch diagram of our optical system: the PPA, LA, main lens and screen constitute a 4-f system. For a higher-order PPA, another beam expander (BE2) is added. Incoherent speckle patterns will superpose on the screen under the action of LA and main lens. (b) The experimental setup of the proposed system
(a) An example for PPA: the 2-order PPA is composed of 4 sub-phase plates, which are constituted by four phase patterns SH1, SH2, SH3 and SH4 respectively. (b) The four phase patterns are formed by the first, second, third and fourth rows of H(4) respectively
(a) The incoherent speckles that correspond to different SH should superpose in the same position. Each sub-phase plate should correspond to lens unit of LA both in size and position. (b) To further understand the stated relationships, the 2×2 PPA is converted into a 1×4 PPA and its side view is given
Speckle patterns (a) before and (b) after loading the designed 2-order PPA. The speckle contrast is reduced from 0.57 to 0.30, and a relative ratio γ= 52.63% is realized
The speckle patterns before (a) and after (b) loading the 4-order PPA. The speckle contrast is reduced from 0.45 to 0.12, and a relative ratio γ= 26.67% is realized
The relative ratio of speckle contrast is inversely proportional to the order of PPA