Electromagnetic Waves

Quasi-optical Systems Based on Periodic Structures (Electromagnetic Waves) Part 2

Coupled open waveguides employing periodic structures This section describes the main properties of quasi-optical open waveguides with periodic metal-dielectric structures excited by distributed sources of electromagnetic energy such as electron beam or surface wave of a dielectric waveguide. Such structures are promising for the design of low-voltage amplifiers based on Smith-Purcell effect [Weinstein and Solntsev, […]

Quasi-optical Systems Based on Periodic Structures (Electromagnetic Waves) Part 3

The implementation of coupled quasi-optical systems in vacuum electron devices A two-stage diffraction radiation oscillator has been realized using the structure shown in Fig. 2a in the frequency range f = 43 + 98 GHz . The system consists of two short-focus spherical mirrors [Shestopalov, 1991] and the common cylindrical mirror with a diffraction grating […]

Waveguide Mode Converters (Electromagnetic Waves) Part 1

Introduction Metallic waveguides have major advantages, such as low propagation loss and high power transmission in the microwave frequency range. However, one disadvantage is that the usable frequency range is restricted to f < f < 2fc, because the TE20 mode is possible in a frequency region higher than 2f for rectangular metallic waveguides. A […]

Waveguide Mode Converters (Electromagnetic Waves) Part 2

Design method of the TE10-to-TE40 mode converter A TE10 to TE40 mode converter can be considered by combination of TE10 to TE20 mode converters. Another structure of the TE10-to-TE20 mode converter is proposed and is shown in Fig. 8. The locations of the dielectric rods are indicated in Table 1. The structure of the proposed […]

Resonance Properties of Scattering and Generation of Waves on Cubically Polarisable Dielectric Layers (Electromagnetic Waves) Part 1

Introduction In this paper we investigate the problem of scattering and generation of waves on an isotropic, non-magnetic, linearly polarised (E-polarisation), non-linear, layered, cubically polarisable, dielectric structure, which is excited by a packet of plane waves, in the range of resonant frequencies. We consider wave packets consisting of both strong electromagnetic fields at the excitation […]

Resonance Properties of Scattering and Generation of Waves on Cubically Polarisable Dielectric Layers (Electromagnetic Waves) Part 2

Quasi-homogeneous electromagnetic fields in a transversely inhomogeneous non-linear dielectric layered structure and the excitation by wave packets The scattered and generated field in a transversely inhomogeneous, non-linear dielectric layer excited by a plane wave is quasi-homogeneous along the coordinate y, hence it can be represented as Here U(nK; z) and <pnK := nK sin fnK […]

Resonance Properties of Scattering and Generation of Waves on Cubically Polarisable Dielectric Layers (Electromagnetic Waves) Part 3

The non-linear problem and the equivalent system of non-linear integral equations The problem (21), (C1) – (C4) can be reduced to finding solutions of one-dimensional non-linear integral equations w.r.t. the components U(nK;z), n = 1,2,3, z £ [—2nS,2nS], of the fields scattered and generated in the non-linear layer. Similar to the results of the papers […]

Resonance Properties of Scattering and Generation of Waves on Cubically Polarisable Dielectric Layers (Electromagnetic Waves) Part 4

A self-consistent approach to the numerical analysis of the non-linear integral equations According to Angermann & Yatsyk (2011), Angermann & Yatsyk (2010), the application of suitable quadrature rules to the system of non-linear integral equations (49) leads to a system of complex-valued non-linear algebraic equations of the second kind: where is a discrete set of […]

Resonance Properties of Scattering and Generation of Waves on Cubically Polarisable Dielectric Layers (Electromagnetic Waves) Part 5

Algorithm for the numerical analysis of the eigen-modes of the linearised problems The qualitative analysis of the spectral characteristics allows to develop algorithms for solving the spectral problems (62), (CS1) – (CS4) by reducing them to the equivalent spectral problem of finding non-trivial solutions of the integral equations (66), see Shestopalov & Yatsyk (1997), Yatsyk […]

Resonance Properties of Scattering and Generation of Waves on Cubically Polarisable Dielectric Layers (Electromagnetic Waves) Part 6

A non-linear layer with a positive value of the cubic susceptibility of the medium The results of the numerical analysis of scattering and generation properties as well as the eigen-modes of the dielectric layer with a positive value of the cubic susceptibility of the medium (a = +0.01) are presented in Fig. 10 – Fig. […]

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