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An Approximate Wave Equation for an Axially Symmetric Periodic Waveguide

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2 Author(s)

The field problem of wave propagation in a waveguide of periodically varying section is investigated. An orthogonal curvi-linear coordinate system is developed leading to a separable wave equation. As a result, the problem is reduced to solving Hills Equation. The discussion is limited to the case of a waveguide with slowly varying radius but there is some expectation that useful results would be obtained, particularly for axial fields, without this restriction.

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Microwave Theory and Techniques, IEEE Transactions on  (Volume:14 ,  Issue: 9 )