Microwave Circuit Theory and Foundations of Microwave by G. Engen

By G. Engen

This booklet presents an intensive knowing of the microwave circuit version and its boundaries

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Extra resources for Microwave Circuit Theory and Foundations of Microwave Metrology

Sample text

For a low loss device one has | A | « 1, thus | AT1| * 1, which then requires | B | « 1 and which may not be attainable due to the inevitable losses in the device. In general it is convenient to visualise the operation as one which provides a second reflection 42T of the correct magnitude and phase to cancel that due to ATt. As a rule, unfortunately, these devices tend to be frequency sensitive and, with the existing emphasis on broadband operation, there is an increasing effort to either eliminate unwanted reflections at their 'source', during the course of system development or alternatively, and particularly in metrology applications, to compensate for their existence by the use of a more complete model.

Continuing with this line of argument, in the limit * is given by which may be factored to yield b = bg{\ + I*/, + ( r ^ ) 2 + . . 13) The second factor in this expression is an infinite series, which for | TJL1 I < 1 converges to (1 - r r ^ " 1 as appears in eqn. 11. It should probably be observed that, although this alternative treatment provides some additional intuitive insight into the operation and leads to a correct result, it should not be taken as an example of a careful analytical formulation.

As inspection of eqn. 15 reveals, this is merely | bg | 2 . Uniformity in terminology is not a characteristic feature of the microwave art! Chapter 4 Multi-port boundary conditions The extension of the ideas introduced in Chapter 3 to multi-port (or multi-terminal surface) devices begins with a 'two-port' as shown in Fig. 1. Here the 'ports' or terminal surfaces have been designated by *r and '2', while the incident and emergent wave amplitudes are b, a. a2 b2 Two-Port 1 2 Fig. 1 Passive 'two-port' represented by a( and bi9 respectively, and the subscripts denote the port to which they pertain.

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