Download PDF by Cam Nguyen: Analysis Methods for RF, Microwave, and Millimeter-Wave

By Cam Nguyen

ISBN-10: 0471017507

ISBN-13: 9780471017509

ISBN-10: 0471200670

ISBN-13: 9780471200673

Collect the paintings of others within the box, write a ebook approximately it, improve it with a number of mathematical appendices, ship it to the editor, and you will get two hundred pages+ of thick conception, void of sensible curiosity for the layout engineer.

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Extra info for Analysis Methods for RF, Microwave, and Millimeter-Wave Planar Transmission Line Structures

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The formulation of these functions is given as follows. 31 [L C P3 x ]y D f x where a Ä x Ä b; L is again the Sturm–Liouville operator; and is a constant. 32 where υ x; x 0 is the one-dimensional Dirac delta function. The Green’s function has the following properties: 1. 33 SOLUTIONS OF GREEN’S FUNCTION 2. 3. 4. 5. 45 G x; x 0 satisfies appropriate boundary conditions at x D a and x D b. G x; x 0 is symmetrical with respect to x and x 0 . G x; x 0 is continuous at x D x 0 . The derivative of G x; x 0 has a discontinuity of magnitude 1/P1 x 0 at x D x 0 .

6 Prove that, in any waveguides, both Ez and Hz cannot be even or odd simultaneously. 7 Consider a general waveguide with perfectly conducting walls as shown in Fig. 3. 8 Verify the power orthogonality relationship for nondegenerate modes in a lossless circular waveguide. 9 Verify the power orthogonality relationship for nondegenerate modes in a lossless rectangular waveguide. 10 The electric and magnetic fields of the eigenmodes existing in planar transmission lines are normally determined approximately.

45 It is apparent that this closed-form Green’s function is only useful if the solution to the homogeneous differential Eq. 36) can be found within the interval [a, b]. As a demonstration of the procedure for finding the Green’s function in closed form, we consider a shielded microstrip line as shown in Fig. 2. The shield and strip are assumed to be perfect conductors, and the strip thickness is negligible. We assume there exists a current source J on the strip. We wish to find the closed-form Green’s function and the z component of the electric field, Ez .

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Analysis Methods for RF, Microwave, and Millimeter-Wave Planar Transmission Line Structures by Cam Nguyen


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