What question did this study set out to answer?

To establish the physical meaning and mathematical properties of power waves and formulate their corresponding scattering matrix for multi-port electrical networks.

March 1, 1965IEEE Transactions on Microwave Theory and Techniques

Power Waves and the Scattering Matrix

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Authors

KKKazuya KurokawaNihon University

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Implication

Theoretical analysis demonstrates power-wave scattering matrix transformations in multi-port networks, highlighting conditions for unconditional stability and simultaneous matching.

Key Points

To establish the physical meaning and mathematical properties of power waves and formulate their corresponding scattering matrix for multi-port electrical networks.
Defined power waves mathematically as functions of port voltages, terminal currents, and arbitrary complex reference impedances.
Derived scattering matrix conditions for network losslessness, reciprocity, frequency response, and transformations under changing port impedances.
Formulated mathematical expressions for simultaneous conjugate matching and unconditional stability in linear active networks using scattering matrix parameters.
Demonstrated that squared magnitudes of power waves quantify exchangeable power from a source and reflected power more directly than conventional traveling waves.
Provided an exact matrix transformation formula for recalculating scattering matrices when port termination impedances vary.
Derived explicit algebraic criteria for simultaneous input-output matching and unconditional network stability in terms of scattering matrix components.

Cite This Study

Kazuya Kurokawa (1965) studied this question.

synapsesocial.com/papers/6a72161626a7f98052de2001 https://doi.org/10.1109/tmtt.1965.1125964

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March 1, 1965IEEE Transactions on Microwave Theory and Techniques

Power Waves and the Scattering Matrix

View Full Paper

Ask AI

Bookmark

Authors

KKKazuya KurokawaNihon University

Discussion

Member takes

Implication

Theoretical analysis demonstrates power-wave scattering matrix transformations in multi-port networks, highlighting conditions for unconditional stability and simultaneous matching.

Key Points

To establish the physical meaning and mathematical properties of power waves and formulate their corresponding scattering matrix for multi-port electrical networks.
Defined power waves mathematically as functions of port voltages, terminal currents, and arbitrary complex reference impedances.
Derived scattering matrix conditions for network losslessness, reciprocity, frequency response, and transformations under changing port impedances.
Formulated mathematical expressions for simultaneous conjugate matching and unconditional stability in linear active networks using scattering matrix parameters.
Demonstrated that squared magnitudes of power waves quantify exchangeable power from a source and reflected power more directly than conventional traveling waves.
Provided an exact matrix transformation formula for recalculating scattering matrices when port termination impedances vary.
Derived explicit algebraic criteria for simultaneous input-output matching and unconditional network stability in terms of scattering matrix components.

Cite This Study

Kazuya Kurokawa (1965) studied this question.

synapsesocial.com/papers/6a72161626a7f98052de2001 https://doi.org/10.1109/tmtt.1965.1125964

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