By F. Gori (auth.), S. Martellucci, A. N. Chester (eds.)

ISBN-10: 1489914749

ISBN-13: 9781489914743

ISBN-10: 1489914765

ISBN-13: 9781489914767

**`**The ebook is a wonderful source for physicists and engineers within the box. It comprises many principles and sensible information for the layout and development of microoptical devices.**'****Optik, 110:6 (1999)**

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**Additional resources for Diffractive Optics and Optical Microsystems**

**Example text**

8) and (9) describe grating diffraction, and allow the tracing of a bundle of finite rays through a diffractive component. , presented as spot diagrams , which are the points of intersection of the calculated rays with the image plane. 2. Optimum design for beam shaping Up to now, we have only considered the optimization of the first order phase function <1>, because we were mainly interested in an aberration-free imaging. In principle, a beam shaping element can also be implemented as a first order DOE, which generates the desired wave in the first diffraction order.

Fig. 2 shows diffractive lenses with different phase profiles \f(x,y), which generate all the same phase function *(x,y) in the first order. The elements perform the same wavefront conversion, but with different diffraction effIciency. The propagation of the first diffraction order can be modeled by replacing \f(x,y) with (x,y) in Eq. (1). 3. 1. Phase function A thin phase element that is illuminated by an incident wave Fin(X,y) generates an output wave FOUI(x,y). y) + (X,y) . (2) From Eq. *

Many different numerical methods have been investigated. Here, we concentrate on the two most successful methods: the iterative Fourier transform (1FT) algorithm and simulated annealing . For further reading, we recommend the Refs. (u,v) = a\x,y) and a uniform phase. It is desired to add a DOE with phase 'P(x,y) in the x,y-plane such that a given intensity distr ibution Ib(u,v) = b\u,v) results in another plane, which we call here the image plane [Fig. 4(b)]. The problem is now to find the phase profile 'P (x,y) of the DOE.

### Diffractive Optics and Optical Microsystems by F. Gori (auth.), S. Martellucci, A. N. Chester (eds.)

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