Read e-book online Diffractional Optics of Millimetre Waves (Series on Optics PDF
By I.V. Minin, O.V. Minin
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Extra info for Diffractional Optics of Millimetre Waves (Series on Optics and Optoelectronics)
It is clear in this connection that, as the complexity of problems grows, straightforward increase in computer power will not always be adequate, even with the persistent trend of growing power of modern computers. Therefore, the development of eﬃcient algorithms for computing diﬀraction integrals is an urgent and demanded task. These aspects become especially acute both since the aperture of diﬀractional elements D= increases, and since the width of the peripheral Fresnel zone for high-aperture elements becomes comparable with wavelength.
Components of the functions. For the inverse FFT the sample size was increased to 1024. 7) (here we follow ). Let the generatrix of the surface of an MWDO element be described by an equation of the type r ¼ f ðzÞ. Then an element of the area of the surface can be written in the form dS ¼ r½1 þ ðdr=dzÞ2 1=2 dz d: ð1:30Þ The diﬀraction integral for the observation point P with the coordinates ðx1 ; y1 ; z1 Þ is written for a plane wave front that is incident on the diﬀraction element as ð zn ð 2 ðQÞ 2Q exp ÿ i Un ¼ dS ð1:31Þ Q zn ÿ 1 0 where Q ¼ ½ð ÿ zÞ2 þ ðr cos Þ2 þ ðr sin ÿ xn Þ2 1=2 and ðQÞ ¼ 1 þ ð ÿ zÞ=Q.
Many realistic problems can be formulated as a search for optimal value, where the value is a complicated function of a number of input parameters. In some cases it is of more interest to ﬁnd those values of parameters for which the best accurate value of the function is reached. In other cases the exact optimum is not required: any value which is better than a certain preset value is regarded as a solution. In this situation genetic algorithms are frequently the best among the acceptable methods of searching for ‘good’ values.
Diffractional Optics of Millimetre Waves (Series on Optics and Optoelectronics) by I.V. Minin, O.V. Minin