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Chapter 7 Angular Spectrum Representation

Chapter 7 Angular Spectrum RepresentationThe Angular Spectrum Representation is a mathematical technique to describe op-tical fields in homogeneous media. Optical fields are described as a superpositionof plane waves and evanescent waves which are physically intuitive solutions ofMaxwell s equations. The Angular Spectrum representationis found to be a verypowerful method for the description of laser beam propagation and light , in the paraxial limit, the Angular Spectrum Representation becomesidentical with the framework of Fourier optics which extends its importance this Chapter we will consider purely monochromatic fieldsof Angular fre-quency , which can be represented as complex fieldsE(r)according to ( 2)E(r,t) = Re{E(r) e i t}.

original field at z= 0. The spatial frequencies (k2 x + k 2 y) >k 2 of the original field are filtered out during propagation and the information on high spatial variations gets lost. Hence, there is always a loss of information on propagating from near-to far-field and only structures with lateral dimensions larger than ∆x ≈ 1 2k = λ ...

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