Read e-book online Diffractive Optics and Optical Microsystems PDF

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

ISBN-10: 1489914749

ISBN-13: 9781489914743

ISBN-10: 1489914765

ISBN-13: 9781489914767

`The booklet is a wonderful source for physicists and engineers within the box. It includes many principles and functional information for the layout and building of microoptical devices.'
Optik, 110:6 (1999)

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The vectors (k x . ; , k y • i) and the phase functions <1>; are related by k x , i = Oi lax and k y , i = 0<1> i;oy. By derivation of Eq. OUI =k x. jn +m a;' (8a) K y,oul =k y,in +m 0<1> ay' (8b) K where m is the diffraction order. In general, the elements are designed for the first diffraction order (m = 1). The gradient (o/ox,o/oy) in Eq. (8) describes the local grating vector of the diffractive structure. The length of the wavevectors at the reconstructing wavelength is given by Ikl = Ikinl = 21tAin.

Soc. Am. , 5,1058-1065 (1988). 20. S. D. Vecehi,Optimization by simulated anneaIing, Science , 220, 671680 (1983). 21. S. Sinzinger, and M. Testorf, Transition between diffractive and refractive micro-optieal components, Appl. , 34, 5970-5976(1995). 22. M. Rossi, RE. P. Herzig, Refractive and diffractive properties of planar micro-optical elements, Appl. , 34, 5996-6007 (1995). 23. T. Welford, Aberrations of Opticai Systems, Bristol: Adam Hilger(1986). GRIN PLANAR STRUCTURES FOR FOCUSING COLLIMATION AND BEAM SIZE CONTROL C.

TheMethod ofMoments The integral Eqs. 9 (also known as the method ofweighted residuals). Let us illustrate the method withreference to a linear functional equation which, in abstract terms, can be written as (15) L[=1f where f.. (unknown) and 1f (known) are Hilbert space vectors and L is a linear operator. Two (infmite in principle) sets of functions are introduced, the basis fun ctions, represented by the vectors {f.. 0 } and the test functions, represented by { ~o } . The former are used to expand the unknown [: (16) where x, are unknown coefficients.

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

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