Energy considerations in open and closed waveguides

Laxpati, S.; Mittra, R.

doi:10.1109/tap.1965.1138546

Cited by 20 publications

(7 citation statements)

References 4 publications

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“…Similar conclusions were given for plasma layer [34] and for improper leaky modes in open and closed waveguides [35].…”

Section: Appendix B Proof Of Zero Power Flowsupporting

confidence: 76%

Complete Mode Spectrum of a Grounded Dielectric Slab With Double Negative Metamaterials

Shu¹,

Song²

2006

PIER

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Abstract-The properties of a grounded dielectric slab with double negative (DNG) metamaterials are investigated in this paper. Dramatically different dispersion curves of evanescent surface modes (electromagnetic fields exponentially decay both in air and inside the slab) are observed. They are highly dependent on the medium parameters. As the counterpart of the improper complex leaky modes in a double positive (DPS) medium, the complex modes in a DNG medium are proved to be exclusively proper. They have exponentially decaying fields in the air region and are termed complex surface modes. It is found that there are an infinite number of complex surface modes and they cannot be suppressed. The Poynting vectors of complex surface modes are studied and it is proved that their integrals along the transverse direction are simply zero. The complete mode spectrum of the dielectric slab for both DPS and DNG media are tabled and compared. Surface wave suppression is discussed and its necessary and sufficient conditions are presented.

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“…Similar conclusions were given for plasma layer [34] and for improper leaky modes in open and closed waveguides [35].…”

Section: Appendix B Proof Of Zero Power Flowsupporting

confidence: 76%

Complete Mode Spectrum of a Grounded Dielectric Slab With Double Negative Metamaterials

Shu¹,

Song²

2006

PIER

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“…͑An analogous complex-mode regime that characterizes the guided mode spectrum of plasmonic planar slabs 42 and the anomalous power-flow properties of complex modes, which carry zero net power in the longitudinal direction, have been studied over the years for several geometries. 43 ͒ This implies that in principle there is no upper limit for the polarizabilities required for having a guided mode with this polarization. Although when Re͓␣ ee −1 ͔ increases beyond the existence of the first ͑confined͒ mode, i.e., beyond the right-hand limit of ͑15͒, the only supported mode is very weakly guided, close to the cutoff, and spread all over the space, almost as a uniform plane wave ͑since ␤ Ӎ 1͒.…”

Section: E Transversely Polarized Modesmentioning

confidence: 99%

Theory of linear chains of metamaterial/plasmonic particles as subdiffraction optical nanotransmission lines

2006

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Theory of linear chains of metamaterial/plasmonic particles as subdiffraction optical nanotransmission lines AbstractHere we discuss the theory and analyze in detail the guidance properties of linear arrays of metamaterial/ plasmonic small particles as nanoscale optical nanotransmission lines, including the effect of material loss. Under the assumption of dipolar approximation for each particle, which is shown to be accurate in the geometry of interest here, we develop closed-form analytical expressions for the eigenmodal dispersion in such arrays. With the material loss included, the conditions for minimal absorption and maximum bandwidth are derived analytically by studying the properties of such dispersion relations. Numerical examples with realistic materials, including their ohmic absorption and frequency dispersion, are presented. The analytical properties discussed here also provide some further physical insights into the mechanisms underlying the subdiffraction guidance in such arrays and their fundamental physical limits. The possibility of guiding beams with subwavelength lateral confinement and reasonably low decay is discussed, offering the possible use of this technique at microwave, infrared, and optical frequencies. Interpretation of these results in terms of nanocircuit concepts is presented, and possible extension to two-and three-dimensional nanotransmission line optical metamaterials is also foreseen. Here we discuss the theory and analyze in detail the guidance properties of linear arrays of metamaterial/ plasmonic small particles as nanoscale optical nanotransmission lines, including the effect of material loss. Under the assumption of dipolar approximation for each particle, which is shown to be accurate in the geometry of interest here, we develop closed-form analytical expressions for the eigenmodal dispersion in such arrays. With the material loss included, the conditions for minimal absorption and maximum bandwidth are derived analytically by studying the properties of such dispersion relations. Numerical examples with realistic materials, including their ohmic absorption and frequency dispersion, are presented. The analytical properties discussed here also provide some further physical insights into the mechanisms underlying the subdiffraction guidance in such arrays and their fundamental physical limits. The possibility of guiding beams with subwavelength lateral confinement and reasonably low decay is discussed, offering the possible use of this technique at microwave, infrared, and optical frequencies. Interpretation of these results in terms of nanocircuit concepts is presented, and possible extension to two-and three-dimensional nanotransmission line optical metamaterials is also foreseen.

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“…A search of the literature led to other uniform, closed, lossless structures which possessed complex propagation constants [ 21, [ 3 ] . For these structures proofs existed that the Poynting vector for such a mode was identically zero.…”

Section: Appendix Complex Modes Of Regionmentioning

confidence: 99%

A new integrated radiating element for phased array

Campbell

Johnson

1982

IEEE Trans. Antennas Propagat.

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Numerical solutions are obtained for the problem of radiation from an infinite planar array of cavity elements fed by garnet phase shifters which are integral parts of the elements. The phase shifter protrudes through the rear wall of the cavity, and the core material of the phase shifter protrudes past the end of the phaser honsing for a better match. Additional internal matching is provided by irises located in the phase shifter housing. Experimental verification of the analysis and of the resulting computer program used for the design is presented in the form of wavegnide simulator results.

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Energy considerations in open and closed waveguides

Cited by 20 publications

References 4 publications

Complete Mode Spectrum of a Grounded Dielectric Slab With Double Negative Metamaterials

Complete Mode Spectrum of a Grounded Dielectric Slab With Double Negative Metamaterials

Theory of linear chains of metamaterial/plasmonic particles as subdiffraction optical nanotransmission lines

A new integrated radiating element for phased array

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