A relation between the Sommerfeld theory of radio propagation over a flat earth and the theory of diffraction at a straight edge

Booker, Henry G.; Clemmow, P. C.

doi:10.1049/pi-3.1950.0004

Proceedings of the IEE - Part III: Radio and Communication Engineering

1950

DOI: 10.1049/pi-3.1950.0004

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A relation between the Sommerfeld theory of radio propagation over a flat earth and the theory of diffraction at a straight edge

Henry G. Booker

P. C. Clemmow

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1953

1998

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Cited by 11 publications

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Calculated Power Absorption Patterns for Hyperthermia Applicators Consisting of Electric Dipole Arrays

Tsai

1984

Journal of Microwave Power

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We have applied the plane-wave spectrum method to obtain a technique for calculating the internal fields in a lossy dielectric half-space irradiated by rather arbitrary sources. We used the technique to calculate power absorption profiles of some idealized aperture sources to gain insight into how the source parameters affect the power absorption profile. With this insight, we next calculated power absorption profiles of some linear electric dipole antenna arrays. From these results we developed a simpler method of optimizing the antenna parameters by calculating their field pattern in an infinite water medium, which does not require the PWS method and is therefore faster and cheaper. Using this technique, we found an antenna array with reasonably practical parameters that produces an appealing calculated power absorption profile. We also made some calculations based on a simple approximate model that indicate that a three-element dipole array on the front of a patient and a similar one on the back could produce deep central heating. Although our calculations are based on a somewhat crude dielectric half-space model of the body, the results provide valuable insight about power absorption profiles and indicate that practical systems for producing deep internal heating without overheating the surface of the body could be developed.

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Calculated Power Absorption Patterns for Hyperthermia Applicators Consisting of Electric Dipole Arrays

Tsai

1984

Journal of Microwave Power

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The diffraction of waves in passing through an irregular refracting medium

Fejer

1953

Proc. R. Soc. Lond. A

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A relation is derived between the angular power spectrum of waves emerging from a thin diffracting screen random in two dimensions and the auto-correlation function describing the irregularities of the field as it emerges from the diffracting screen. The special case of an isotropic screen characterized by an auto-correlation function which depends only on distance and not on direction is discussed for normal and oblique incidence. Multiple scattering of waves caused by volume irregularities of the dielectric constant is considered. The angular power spectrum and the auto-correlation function describing the irregularities of the diffraction field caused by multiple scattering in a thick slab are determined. The results are compared with those obtained by Hewish for a thin phase-changing screen. The results are discussed in terms of problems arising in the study of radio-wave propagation.

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The ancient and modern history of EM ground-wave propagation

Wait

1998

IEEE Antennas Propag. Mag.

245

167

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A relation between the Sommerfeld theory of radio propagation over a flat earth and the theory of diffraction at a straight edge

Cited by 11 publications

References 10 publications

Calculated Power Absorption Patterns for Hyperthermia Applicators Consisting of Electric Dipole Arrays

Calculated Power Absorption Patterns for Hyperthermia Applicators Consisting of Electric Dipole Arrays

The diffraction of waves in passing through an irregular refracting medium

The ancient and modern history of EM ground-wave propagation

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