The Propagation of an Electromagnetic Wave Along an Infinite Corrugated Surface

Hurd, R. A.

doi:10.1139/p54-079

Cited by 72 publications

(34 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that since γ m , m ∈ N, is real, the terms ζ m , m ∈ N, appearing in (3.8) decay rapidly to zero as a/d → ∞. A good approximation for large a is therefore to set ζ m = 0 for m ∈ N. The idea for this type of approximation (which is equivalent to assuming that the two edges at x = ±a, y = b can be treated independently) goes back to Hurd (1954), who was studying the propagation of electromagnetic surface waves along a comb grating. We would then have…”

Section: Approximate Solutionmentioning

confidence: 99%

Bound states in coupled guides. I. Two dimensions

Linton

Ratcliffe

2004

Journal of Mathematical Physics

View full text Add to dashboard Cite

Bound states in coupled guides. I. Two dimensions.C. M. Linton and K. RatcliffeBound states that can occur in coupled quantum wires are investigated. We consider a two-dimensional configuration in which two parallel waveguides (of different widths) are coupled laterally through a finite length window and construct modes which exist local to the window connecting the two guides. We study both modes above and below the first cut-off for energy propagation down the coupled guide. The main tool used in the analysis is the so-called residue calculus technique in which complex variable theory is used to solve a system of equations which is derived from a mode-matching approach. For bound states below the first cut-off a single existence condition is derived, but for modes above this cut-off (but below the second cut-off), two conditions must be satisfied simultaneously. A number of results have been presented which show how the bound-state energies vary with the other parameters in the problem.

show abstract

Section: Approximate Solutionmentioning

confidence: 99%

Bound states in coupled guides. I. Two dimensions

Linton

Ratcliffe

2004

Journal of Mathematical Physics

View full text Add to dashboard Cite

show abstract

“…Introduction. Rayleigh-Bloch waves are a ubiquitous feature of periodic line defects in continuous, or discrete, media and arise in many apparently disconnected areas of engineering and physics: in water waves [14], in acoustic or electromagnetic gratings [30], elastic plates [15], on structured surfaces [17], in photonic lattices [32], among many other areas. In each case a periodic surface, or interface, is embedded within another bulk medium and a surface wave exists that propagates parallel to the surface but decays exponentially with distance from the surface.…”

mentioning

confidence: 99%

“…Much of the previous work on surface or Rayleigh-Bloch waves uses numerical, or in limited situations, approximate or analytical techniques, i.e., for comb-like surfaces [13,14,17], to detect and find such waves. The present article introduces an asymptotic technique aimed at the situation where one has a microstructured surface or interface consisting of many thousands or even millions of periodic cells but where the overall structure is on a different lengthscale: this situation is common in real examples such as multilayer dielectric gratings for laser fusion [6], plasmonic solar cells [3,26], and microwave absorbers [19].…”

mentioning

confidence: 99%

Asymptotics for Rayleigh--Bloch Waves along Lattice Line Defects

Joseph¹

2013

Multiscale Model. Simul.

View full text Add to dashboard Cite

Abstract. High-frequency homogenization is applied herein to develop asymptotics for waves propagating along line defects in lattices; the approaches developed are anticipated to be of wide application to many other systems that exhibit surface waves created or directed by microstructure. With the aim being to create a long-scale continuum representation of the line defect that nonetheless accurately incorporates the microscale information, this development uses the microstructural information embedded within, potentially high-frequency, standing wave solutions. A two-scaled approach is utilized for a simple line defect and demonstrated versus exact solutions for quasi-periodic systems and versus numerical solutions for line defects that are themselves perturbed or altered. In particular, Rayleigh-Bloch states propagating along the line defect, and localized defect states, are identified both asymptotically and numerically. Additionally, numerical simulations of large-scale lattice systems illustrate the physics underlying the propagation of waves through the lattice at different frequencies.

show abstract

“…We already know that corrugated metal surfaces or cylinders are capable of guiding surface waves [6][7][8][9] which are more tightly bound then the Sommerfeld-Zenneck waves. The guiding mechanism of these corrugated structures is based on the coupling of resonant modes in the adjacent grooves.…”

Section: Introductionmentioning

confidence: 99%

Guiding spoof surface plasmon polaritons by infinitely thin grooved metal strip

Wan

Cui

2014

AIP Advances

View full text Add to dashboard Cite

In this paper, the propagation characteristics of spoof surface plasmon polaritons (SPPs) on infinitely thin corrugated metal strips are theoretically analyzed. Compared with the situations of infinitely thick lateral thickness, the infinitely thin lateral thickness leads to lower plasma frequency according to the analyses. The propagation lengths and the binding capacity of the spoof SPPs are evaluated based on the derived dispersion equation. The effects of different lateral thicknesses are also investigated. At the end, a surface wave splitter is presented using infinitely thin corrugated metal strip. Other functional planar or flexible devices can also be designed using these metal strips in microwave or terahertz regimes.

show abstract

The Propagation of an Electromagnetic Wave Along an Infinite Corrugated Surface

Cited by 72 publications

References 0 publications

Bound states in coupled guides. I. Two dimensions

Bound states in coupled guides. I. Two dimensions

Asymptotics for Rayleigh--Bloch Waves along Lattice Line Defects

Guiding spoof surface plasmon polaritons by infinitely thin grooved metal strip

Contact Info

Product

Resources

About