## The Plane Wave Spectrum Representation of Electromagnetic Fields |

### From inside the book

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Page v

Plane Surface Currents 22 2.2.2. Angular Spectrum in Vacuum:

Case 23 2.2.3. Simple Examples: Line-sources 30 2.2.4. Angular Spectrum in

Vacuum: Three-dimensional Case 33 2.2.5. Simple Example: Dipole Source .

Plane Surface Currents 22 2.2.2. Angular Spectrum in Vacuum:

**Two**-**dimensional**Case 23 2.2.3. Simple Examples: Line-sources 30 2.2.4. Angular Spectrum in

Vacuum: Three-dimensional Case 33 2.2.5. Simple Example: Dipole Source .

Page 23

2.2.2. Angular Spectrum in Vacuum:

2.1.2 that the most general type of time- harmonic plane wave in vacuum is

essentially a

2.2.2. Angular Spectrum in Vacuum:

**Two**-**dimensional**Case It has been seen in §2.1.2 that the most general type of time- harmonic plane wave in vacuum is

essentially a

**two**-**dimensional**field; (2.22) and (2.23) depend on x and y, ...Page 39

The

given in Chapter 2 is supplemented by certain important developments of a

general character. The main concern is to investigate the nature and limits of

validity ...

The

**Two**-**dimensional**Case In the present chapter the account of the basic theorygiven in Chapter 2 is supplemented by certain important developments of a

general character. The main concern is to investigate the nature and limits of

validity ...

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### Contents

PRELIMINARIES | 3 |

PLANE WAVE REPRESENTATION | 11 |

SUPPLEMENTARY THEORY | 39 |

Copyright | |

7 other sections not shown

### Other editions - View all

The Plane Wave Spectrum Representation of Electromagnetic Fields: (Reissue ... P. C. Clemmow No preview available - 1996 |

### Common terms and phrases

angle angular frequency angular spectrum approximation asymptotic expansion Babinet's principle Bessel function boundary conditions branch-points Cerenkov radiation complex considered corresponding cos2 cosh current distribution dielectric tensor diffraction dipole direction of phase evaluated exponential expressed in terms factor finite formula Fourier Fresnel integral given gives half-plane half-space Hankel function homogeneous plane wave incident field integrand line-source magnetostatic field Maxwell's equations obtained P(cos path of integration perfectly conducting permittivity phase propagation plane wave spectrum point charge point of observation polarized field pole power radiated problem pure imaginary radiation field real axis reflection coefficient refractive index replaced respectively result scattered field screen simple sin2 sinh solution specified spectrum function steepest descents superposition surface current density surface wave theory time-averaged power flux time-harmonic tion total field transmitted two-dimensional uniaxial medium unity upper/lower sign vacuum field wave spectrum representation wavelength written z-axis zero