By W H Louisell
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Additional resources for Coupled Mode and Parametric Electronics
If some of the modes can be neglected, the solution of the equations can be simplified. 4) has been denned as a means of deciding quantitatively whether some modes can be neglected. After this, the propagation constants must be found, and the boundary conditions applied, in order to have a complete solu tion to the problem. It has been shown that the coupled mode approximation is equivalent to the weak coupling approximation. 7 The bibliography 26-32 contains other references of possible interest in connection with Pierce's theory of coupled modes as well as broadband directional couplers.
In this case, using Eqs. 62 and j8f, = ci2 j8d = L a is 1 2 0 1, a a ^. is is It clear that power transfer takes place between the two lines. 8 then shows as function of distance along the coupler. 67) l \cu\L the coupling if ample, is ended at |ci2|L = L, z is 2, if power Furthermore, the transfer takes place in exactly the same way initially introduced on line and complete power transfer will take = place in the same length. By removing the coupling before any division of power between the two lines may be accomplished.
England (September 1948). 21. L. Stark, "A Helical-Line Phase Shifter for Ultrahigh Frequencies," Mass. Inst. Technol. Research Lab. Electronics Technical Rep. No. 69 (February 1954). COUPLED MODE AND PARAMETRIC 34 D. Lacy, "Helix Coupled Traveling- Wave Tube," 22. P. Theory, 27, Electronics, (November 1954). 23. B. M. Oliver, "Directional Electromagnetic Couplers," Proc. (November 1954). 24. D. A. Watkins, Topics in Electromagnetic York, 1958, Chapter 3. ELECTRONICS IRE, John Wiley No. 11 42, 1686-1692 and Sons, New Coupled Modes 25.