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# Class Note for ECE 6341 with Professor Jackson at UH 2

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This 16 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 21 views.

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Date Created: 02/06/15
ECE 6341 Spring 2009 Prof David R Jackson ECE Dept Notes 47 Periodic SDI Calculate the fields from a 2D periodic array of currents in a layered media kxo 2 k0 sin 6 cos ky0 2 k0 sin 6 sin Radiation angles Periodic SDI cont The current on the periodic structure is represented in terms of Floquet waves 13xay i i ewe mm To solve for the unknown coefficients multiply both sides by e C W39L and integrate over the 00 unit cell Periodic SDI cont 00 00 lmquot Lxv Z 22M m 0071 00 J is x e izm39n39l 00 m oo 0 n 00 j tmn jlitm39n39 2 gm 6 6 OO 395 dS Periodic SDI cont i J Lo x y e W Z dS The current 150 is the A 5 current on the 00 patch Periodic SDI cont Hence the current on the 2D periodic structure is 00 00 1 r 1508 2 2 150 we m oo n OO We now calculate the Fourier transform of the 2D periodic current this is what we need in the SDI method 00 k 39k j kxxky J39ejxmxefynxe ydxdy CX 00 oo 00 00 39k 39k jkny jk y Je xmxe xxdxje y e y dy CX CX 275kx km 276ky Icy WI Q NEV 3313 A Q n a AQQVMANQQV naanva ID 66 9 9328 A 532 S m g aw W mu 323 03 Em 0625a m AQth 73 I 53m AEVN I S m v aw W W NI Ew A v R 03 Em 282mm Hmgtmc 95 8ch Periodic SDI cont Therefore we have Periodic SDI cont Compare Single element nonperiodic Ex y Z 22 T T Qltkxkyzo is kxky e fkxxkyydkxdky 10 Periodic SDI cont Conclusion The double integral is replaced by a double sum and a factor is introduced 11 k Izzb kWCyquot y Periodic SDI cont Periodic SDI cont For a skewed lattice where Lem 2 122 2km ikyO ex0 2190 gxgz 23 Microstrip Patch Phased Array Example 2 AII39VA II39 All I b I y L I I W a kxo 2 k0 sin cos kyo 2 k0 sin sing x Microstrip Patch Phased Array 1F Martel 3323th 14 Single Patch Ex xy0 Phased Array cont 16 Phased Array cont 2D Phased Array x oriii i k k Dy Am n 13m sx xm ny Dektmn where

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