Considered is the theory of several dielectric waveguide phenomena for which the vector nature of the electromagnetic field is essential. These phenomena are the following rotation of the plane of polarization in chiral and twisted waveguides, Bragg's reflection in a twisted waveguide in a narrow frequency band, and excitation of a waveguide at a near-cutoff frequency.

Discrete higher-order modes of stripline, both proper and leaky, as well as its continuous spectrum are conceptualized and quantified by a full-wave integral operator formulation through complex analysis in the axial Fourier-transform plane. Poles associated with the parallel-plate background environment lead to branch points in the axial transform plane. A criterion for choice of associated branch cuts to restrict the migration of poles in the transverse transform plane is identified. The higher-order discrete modes are both bound (proper), with a low-frequency cutoff, and leaky (improper). The higher-order proper mode has a propagation constant very nearly equal to that for the TM parallel-plate mode. Distributions of the continuous-spectrum currents appear to consist of a smooth transition from those of the highest propagating proper discrete mode, as might be expected physically. The continuous spectrum is dominated by the propagating portions associated with any TM background modes (poles) which are above cutoff, and in fact by spectral points in a region very near to the branch point.

Research in radar polarimetry is hampered by shortcomings of the conventional formulation of polarimetric backscatter concepts. In particular the correct form of the Sinclair backscatter matrix under changes of polarization bases is derived from the antenna voltage (energy transfer) equation yielding the erroneous impression that radar polarimetry is a mongrel between scattering behavior and network performance. The present contribution restores logical consistency in a natural way by introducing the concept of an antilinear backscatter operator. This approach decouples scattering process and network performance, illuminates matrix analytical properties of the radar backscatter matrix and highlights characteristic states of polarization.

A hybrid analysis of the electromagnetic scattering by an open cavity containing an interior obstacle when it is illuminated by an external source is presented so that it is valid for high frequencies. This hybrid approach breaks down the problem into three basic parts which can be analyzed separately, via methods best suited for each part, and these separate solutions are then combined systematically via generalized recipricity relations to obtain the total solution. The three separate analyses deal with the scattering by the open end being illuminated, the wave propagation within the cavity, and the scattering by the interior obstacle. The propagation region analysis is based on the use of the generalized ray expansion that employs a new elliptic ray tube basis set which makes this expansion far more efficient in that it requires significantly fewer number of these than is possible with conventional ray tubes. Numerical results illustrating the utility of this hybrid approach are presented.

Coherent and incoherent electromagnetic (EM) waves scattered by many particles are approximately expressed as solutions of integral equations by unconventional multiple scattering method. The particles are randomly displaced from a uniformly ordered distribution, and hence the distribution of particles can change from total uniformity to complete randomness. The approximate expressions of the EM waves are systematically given, independent of the distributions of particles, on the following assumptions. First the particles are identical in material, shape, size and orientation. Second each random displacement of particles from the ordered positions is statistically independent of each other and homogeneous in space. These assumptions may be extended to more general ones but have been used here to make clear the derivation process of the coherent and incoherent EM waves. The approximate expressions of the EM waves are reduced to known ones for both limiting cases: a periodic distribution and a very sparse random distribution. The effective dielectric constant of a random medium containing randomly distributed dielectric spheres can be calculated from the coherent EM wave and compared with those given by conventional methods such as the quasi-crystalline approximation, using the previous results. The comparison indicates the advantage of the method presented here. The present method is expected to be useful for the study of interaction of EM waves with many particles.

In this paper, we present for the first time two three-dimensional analytical electrostatic Green's functions for shielded and open arbitrarily multilayered medium structures. The analytical formulas for the Green's functions are simply expressed in the form of Fourier series and integrals, and are applicable to the arbitrary number of dielectric layers. In combination with the complex image charge method, we demonstrate an efficient application to analyze microstrip discontinuities in a three-layered dielectric structure. Numerical results for the capacitance associated with on open-end discontinuity show good agreement with those from a previous paper and the effectiveness of using the analytical Green's functions to analyze three-dimensional electrostatic problems.

This paper presents a theoretical study on transmission properties of bent optical waveguides of uniaxial anisotropic material. The waveguiding structure consists of two parallel straight slab waveguides connecting by an oblique section. By arranging the direction of the optical axis in the oblique section so that the wave normal always points to the same direction throughout the waveguiding structure, low loss transmission can be realized. The analysis of wave propagation through the structure is based on the finite difference beam propagation method. Numerical results indicate that by optimally arranging the direction of the optical axis in the oblique section power coupling coefficients better than 95% can be obtained for any tilt angle of the oblique section when the tilt angle is smaller than 2 degrees. Some field distributions are also presented along the waveguiding structure.

We investigate a three-waveguide tapered velocity coupler which consists of a uniform linear, tapered linear and tapered nonlinear slab waveguide. The coupling characteristics depending on the gap width between the waveguides and sloping angle of the tapered waveguides are analyzed by means of the finite difference method. The numerical results show that with realistic structural parameters flat output power characteristics can be obtained over a wide range of input power. It is found that it is possible to use the present structure as a power limiter.

The emphasis on nonisotropic media in the electromagnetics research community has recently brought forward a large amount of new literature on the material effects. The material phenomena affecting the electromagnetic characterization are contained in the constitutive relations between an electric and a magnetic excitation and an electric and a magnetic response. Starting from the constitutive equations, this article is an attempt to cast light on the labels, terms, notation, and classification of linear electromagnetic materials. Using dyadic analysis and physical concepts like reciprocity and magnetoelectric coupling, the different classes within bi-anisotropic media are presented in systematic form. Simple isotropic media can be characterized by two material parameters: the electric polarizability is measured by permittivity ε, and the magnetic polarizability by the permeability µ. For bi-isotropic media, there exists magnetoelectric coupling, but due to isotropy (independence of the direction of the field vectors) the two additional material parameters are scalars. The physical interpretation to these two parameters are chirality and nonreciprocity. The two subclasses of bi-isotropic materials are Pasteur and Tellegen media. If there is direction dependence in the medium, we call the material anisotropic, and a scalar quantity has to be described by a dyadic with nine components. Finally, the most general material is called bi-anisotropic, which means that in addition to a dyadic permittivity and permeability, the two magnetoelectric material parameters are dyadics. The essential feature in the classification of the present paper is the separation of all the four material parameter dyadics into symmetric and antisymmetric parts. For permittivity and permeability, the symmetric parts correspond to reciprocal media and the antisymmetric parts are nonzero for nonreciprocal media. In the cross-coupling dyadics the decomposition into symmetric and antisymmetric parts disriminates chiral media, omega media, classical magnetoelectric media, and moving media. Finally, possible alternative characterrizations of bi-anisotropic materials are discussed.

Using the decomposition in spectral TE and TM waves, a terse expression of the spectral Green's dyadic function is presented to describe the electromagnetic field in a planar stratified medium with a grounded slab filled by a general bianisotropic medium and a current source arbitrarily located inside the layer. The general but succinct expression of the elements of the spectral Green's dyad are, then, specified to the case of a chiral grounded slab with an electric point-source located at the interface plane. The dyadic Green's function of sources in a grounded chiral superstrate-substrate structure is used to analyse the radiation characteristics of the so-called chirostrip antennas. An integral representation of the spatial microstrip electric Green's dyad is developed. This representation is very efficient to evaluate the electromagnetic field when the source and the observation points are laterally rather than vertically separated with respect to the interface plane. Numerical examples are presented which show the efficiency of the integral representation obtained. It is found, also, that the chirality can, under certain circumstances, decrease the surface wave power and increase the radiated one, thus giving rise to higher radiation efficiency.

The dielectric rod waveguides with corrugation consisting of nonintegral-ratio period waves are investigated numerically. The leakage characteristics of HE₁₁-type wave in the waveguide is analyzed by applying Yasuura's method. The complex propagation constants and the far field patterns are presented. The radiation pattern of a fabricated waveguide with corrugation agrees well with the calculated value. The dependence of radiation characteristics on the corrugation form is discussed. It is shown that the leakage directions and the intensity of leaky waves are controlled independently one another. The radiation pattern can be synthesized by choosing the geometric parameters of the corrugation properly.

In this paper, the diffusion parameter-values in the K⁺-ion diffused waveguides made by diluted KNO₃ with NaNO₃ in the soda-lime glass, which are determined from measured values of the effective index, are presented together with a simple method for the determination. The surface-index changes are measured for the waveguides by KNO₃ melts with 75%-, 50%- and 30%-dilutions (weight ratio), and for comparison purpose, also by the pure KNO₃, and the dependence of the index-profile on the dilution of KNO₃ in the ion-source melt is shown. Change of the two-dimensional index profile in the diffused channel waveguide with the KNO₃-dilution is also shown, which is calculated with the measured diffusion parameters.

An exact solution of the propagation constant of a cylindrical waveguide has been obtained in the event of the conductivity of the waveguide-composing conductor being finite. The said analysis has been reduced to a problem to solve a transcendental equation concerning an eigenvalue of the individual modes of the in-guide electromagnetic wave, and calculation of J_n-1(z)/J_n(z) by using of Bessel function becomes necessary. With a large conductivity the absolute value of the complex number z becomes excessively large, and none of calculation method with high accuracy has been found with the aid of a computer. This paper has solved the problem by using a continued fraction for the calculation with regard to which a recurrence formula is utilized. With the TE₀₁ wave that has conventionally been used as a millimeter-wave guide, it is cleared that it is sufficient to select the number of the calculation terms of the continued fraction to the extent of approximately 1000 in the accuracy in accordance with this calculation method. It is also cleared that the approximation solution obtained by a method of perturbation coincides with the exact solution for the conductivity σ 10² [S/m].

The growth characteristics of a two-dimensional Cherenkov laser composed of a planar relativistic electron beam and a parallel plate waveguide one plate of which is loaded with a nonlinear dielectric sheet are analyzed. The permittivity of the nonlinear dielectric sheet becomes inhomogeneous due to the Kerr effect as the electromagnetic wave grows along the waveguide. For the analysis of the electromagnetic fields in the nonlinear dielectric sheet, it is replaced by a number of thin dielectric layers each of which is assumed to be homogeneous. From numerical analysis, it is found that just a few homogeneous layers for the nonlinear dielectric sheet are enough to get the same results as obtained previously by means of the finite element method. This is because the variation of the permittivity across the nonlinear dielectric sheet is as small as within 10% of the linear permittivity of the nonlinear material. Thus the multilayer approximation method is found to be more simple and more efficient for the analysis of the Cherenkov laser loaded with a Kerr-like medium than the finite element method.

In practical applications of the artificial boundary surfaces, such as corrugation and strips on a grounded dielectric slab, the surfaces have finite sizes. The diffraction fields from anisotropic surface of this kind can not be calculated using conventional diffraction coefficients. In this paper, uniform diffraction coefficients for the strips on a grounded dielectric slab are given in the sense of physical optics, as functions of incident angle, polarization and structural parameters of the surface. Firstly, the incident plane wave is decomposed into the two special polarization directions. Then uniform diffraction coefficients originally derived for isotropic surfaces with arbitrary impedance can be applied for each polarization component. Finally, expressions for the diffraction coefficients from the anisotropic surface are given as the sum of those for two polarization components. The validity of the diffraction coefficients is verified theoretically and experimentally.

In the paper a problem of wave scattering from a local penetrable inhomogeneity inside a planar dielectric waveguide is studied. The surface potentials method is applied for the problem and the set of systems of BIE is obtained and analyzed from the view-point of their numerical solution. The effective numerical algorithm based on the Nyström method is proposed. The equations for a scattering diagram and mode conversion coefficients are derived.

The radiation and scattering characteristics of a metal-strip grating of finite extent printed on the surface of a dielectric waveguide are analyzed within a two-dimensional model. The diffraction properties are obtained from a solution to the problem of surface mode scattering by a finite number of metal strips, taking into account their mutual couplings. The analysis is based on the electromotive force technique which does not require a grating to be periodic. Obtained results concern the antenna applications of radiating gratings excited by the dominant TE or TM surface mode of the wavegude. The proposed approach can be applied not only to the design of radiators but also filters based on periodic strip gratings.

We present a 44 matrix-based analysis of scattering form a two-dimensional rectangular resistive plane gratings placed on an anisotropic dielectric slab. The solution procedure used is formulated by extending the 44 matrix approach. The fields are expanded in terms of two-dimensional Floquet modes. Total fields can be given as sum of primary and secondary fields whose expression are obtained through eigenvalue problem of coupled wave matrix. Unknown currents on resistive patches are determined by applying Galerkin's method to the resistive boundary condition on resistive grating. Results are compared with other numerical examples available in the literature for isotropic cases. Further, numerical calculation are performed in the case of gratings with polar-type anisotropic slab.

A numerical scheme to analyze a three-dimensional perfectly conducting body that has edges and corners is presented. The geometry of the body can be arbitrary. A new formulation using boundary element method has been developed. This formulation allows that a scatterer has edges and corners, where the behavior of the electromagnetic fields become singular.

The complex refractive indices n-jχ of typical magnetic fluids were evaluated for the sake of utilizing them as optical materials. Transmission and reflection spectra were measured in the wavelength range of 0.6-1.6 µm by using monochromators. Magnetic fluids were put into glass cells of 2.5-14-µm thickness for transmission measurement. Due to the absorption by magnetic fluids, the transmittance decreased notably with the increase of the sample thickness. The extinction coefficient χ was evaluated from the dependence of the transmittance on the sample thickness. χ was found to vary between 0.003 and 0.03 depending upon wavelength. The refractive index n was evaluated by fitting theoretical curves to the reflectances that were measured for various incident angles. n was found to vary between 1.6 and 1.7 depending slightly on wavelength. Since a magnetic fluid is a composite of ferrite particles and a solvent, the refractive index can be calculated by using the effective medium theory. The calculated value agreed well with the experimental value. Preliminary experiment of optical switching was also demonstrated by utilizing the mobility of a magnetic fluid.

In this paper, we propose a register file with data bypassing function. This register file bypasses data using data bypassing units instead of functional units when actual operation in functional units such as ALU is unnecessary. Applying this method to a general purpose microprocessor with benchmark programs, we demonstrate 50% power consumption reduction in functional units. Though length of bus lines increases a little due to an additional hardware in register file, as buses are not driven when data is bypassed, power consumption in bus lines is also reduced by 40% compared with the conventional architecture.