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Properties of purely reactive Foster and non-Foster passive networks

Properties of purely reactive Foster and non-Foster passive networks

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The mathematical concept of strongly real functions of positive and negative types is introduced to network theory for the first time. The driving-point reactance/susceptance of a pure Foster network, made up of only ideal positive inductance and capacitance elements, is a strongly real function of real frequency of positive type. As a corollary, for a pure non-Foster network made up of only ideal negative inductance and capacitance elements, the driving-point reactance/susceptance is a strongly real function of real frequency of negative type. It is shown that a condition for a purely reactive passive network to exhibit a positive or negative reactance/susceptance-frequency gradient is that the driving-point immittance should have alternating poles and zeroes lying on the real frequency axis. Finally, it is shown that either purely Foster or non-Foster networks can be constructed by combining ideal Foster and non-Foster reactive elements.

References

    1. 1)
      • O.L. Brune .
        1. Brune, O.L.: ‘Synthesis of a finite two-terminal network whose driving point impedance is a prescribed function of frequency’. PhD Thesis (MIT 1931).
        .
    2. 2)
      • R. Cameron , M. Chandra , R. Mansour . (2007)
        2. Cameron, R., Chandra, M., Mansour, R.: ‘Microwave filters for communication systems’ (Wiley, New Jersey, 2007).
        .
    3. 3)
    4. 4)
    5. 5)
    6. 6)
    7. 7)
    8. 8)
    9. 9)
    10. 10)
      • T. Shell-Small . (2009)
        10. Shell-Small, T.: ‘Complex polynomials’ (Cambridge University Press, UK, 2009).
        .
    11. 11)
    12. 12)
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