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Published December 1976 | Published
Journal Article Open

Waves in active and passive periodic structures: A review

Abstract

The theory and recent applications of waves in periodic structures are reviewed. Both the Floquet and coupled waves approach are analyzed in some detail. The theoretical part of the paper includes wave propagation in unbounded and bounded active or passive periodic media, wave scatterring from periodic boundaries, source radiation (dipole, Cerenkov, transition, and Smith-Purcell) in-periodic media, and pulse transmission through a periodic slab. The applications part covers the recent development in a variety of fields: distributed feedback oscillators, filters, mode convertors, couplers, second-harmonic generators, deflectors, modulators and transducers in the fields of integrated optics and integrated surface acoustics. We also review the work on insect compound eyes, mehanical structures ocean waves, pulse compressions, temperature waves, and cholestric liquid crystals. Particles interaction with crystals is briefly reviewed, especially in the case of zeolite crystals and supelattices. Recent advances in fabrication techniques for very fine gratings me also covered. Finally, speculations about future problems and development in the field of waves in periodic structures are given.

Additional Information

© 1976 IEEE. Manuscript received January 13, 1976; revised June 21, 1976. The submission of this paper was encouraged after review of an advanced proposal. This paper presents the results of one phase of research carried out at the Jet Propulsion Laboratory, California Institute of Technology, under Contract NAS7-100, sponsored by the National Aeronautics and Space Administration. This work has also been partly supported by the Office of Naval Research. The work in this paper is the result of many years of involvement and research by the author in the field of periodic structures. During that period the author profited enormously from the encouragement of, and enlightening discussions with, Prof. C.H. Papas (Caltech), Prof. C. Yeh (UCLA), Dr. G. Evans (RDA), Dr. D. Jaggard (Caltech), and Dr. A. Gover (Caltech). The author is most grateful to Prof. S. R. Seshadri (Univ. Wisconsin), Prof. A. C. Scott (Univ. Wisconsin), Prof. K. F. Casey (Kansas State Univ.), Dr. D. laggard (Caltech) and Dr. A. Gover (Caltech) for helpful comments on the manuscript. The author gratefully acknowledges the assistance of a number of people at IPL who helped in the literature search, editing, and typing of the manuscript, especially Ms. P. D. Baker and F. Roth.

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