{"product_id":"9781510682368-simulating-fourier-optics-using-mathemat","title":"Simulating Fourier Optics Using Mathematica®","description":"\u003cmeta content=\"text\/html; charset=utf-8\" http-equiv=\"Content-Type\"\u003e\u003cp\u003e\u003cspan\u003eDelve into Fourier optics with Mathematica simulations merging symbolic and numerical techniques. The study covers wave equations, Fresnel and Fraunhofer diffraction, ABCD matrices, DFT, and Fresnel transforms while exploring holography methods and spatial filtering via Fourier spectrum manipulation.\u003cbr\u003eThis book introduces the reader to many aspects of Fourier optics, using \u003ci\u003eMathematica\u003c\/i\u003e as a simulation tool. A brief discussion of \u003ci\u003eMathematica\u003c\/i\u003e's symbolic and numerical computation capabilities is introduced. Starting from the wave equation, several simulations of Fresnel and Fraunhofer diffraction problems are treated symbolically. Diffraction by an arbitrary linear optical system using ABCD matrices includes several symbolic examples. Recognizing that many diffraction problems cannot be solved symbolically, the discrete Fourier transform (DFT) is introduced and used to calculate many diffraction problems numerically. Three different numerical methods are used: numerical convolution, the Fresnel transform, and the Fresnel transfer function, with examples for each. Simulations of imaging with both coherent and incoherent light are covered both symbolically and numerically. Simulations of Gabor holography, Leith–Upatnieks holography, and phase-stepping holography are treated numerically. Finally, simulations of spatial filtering by manipulating the Fourier spectrum of an object are presented.\u003cbr\u003e\u003cbr\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Rarewaves","offers":[{"title":"Default Title","offer_id":55741237494134,"sku":"9781510682368","price":32.38,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0092\/7504\/8033\/files\/stand_36050342.jpg?v=1757580560","url":"https:\/\/www.rarewaves.com\/products\/9781510682368-simulating-fourier-optics-using-mathemat","provider":"Rarewaves.com","version":"1.0","type":"link"}