The Plane Wave Spectrum Representation of Electromagnetic Fields |
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Page 39
... out , using ( 1.38 ) , ( 3.2 ) becomes Re лYo ko SSε ( cos α !! - cos x ) sin * x ' P ( cos x ) P * ( cos x ' ) xe - ikoy ( sina - sin * a ' ) dx dx ' . ( 3.3 ) α The delta function in the integrand means that contributions 39.
... out , using ( 1.38 ) , ( 3.2 ) becomes Re лYo ko SSε ( cos α !! - cos x ) sin * x ' P ( cos x ) P * ( cos x ' ) xe - ikoy ( sina - sin * a ' ) dx dx ' . ( 3.3 ) α The delta function in the integrand means that contributions 39.
Page 89
... becomes more nearly back scatter from a thin screen view- ed end on . On the other hand , the current distribution in the left half - plane departs markedly from that which would be present were that half - plane isolated ; for the ...
... becomes more nearly back scatter from a thin screen view- ed end on . On the other hand , the current distribution in the left half - plane departs markedly from that which would be present were that half - plane isolated ; for the ...
Page 173
... becomes 42 — ε ( l2 + m2 ) △ + ε ( l2 + m2 − 1 + X ) = 0 . - The solution is -- Δ 4 = 1 − v ± √ √2 + y2 − 1 , where v = 1 − † ε ( 12 + m2 ) ; and if this is written y2 1 - 4 = 1 + ( 8.78 ) ( 8.79 ) it gives μ2 = 1 - v ± √v2 + Y2 ...
... becomes 42 — ε ( l2 + m2 ) △ + ε ( l2 + m2 − 1 + X ) = 0 . - The solution is -- Δ 4 = 1 − v ± √ √2 + y2 − 1 , where v = 1 − † ε ( 12 + m2 ) ; and if this is written y2 1 - 4 = 1 + ( 8.78 ) ( 8.79 ) it gives μ2 = 1 - v ± √v2 + Y2 ...
Contents
SUPPLEMENTARY THEORY | 3 |
DIFFRACTION BY A PLANE SCREEN | 69 |
PROPAGATION OVER A UNIFORM PLANE SURFACE | 98 |
Copyright | |
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The Plane Wave Spectrum Representation of Electromagnetic Fields: (Reissue ... P. C. Clemmow No preview available - 1996 |
Common terms and phrases
angle angular frequency aperture approximation asymptotic expansion Babinet's principle branch-points c²/v² Cerenkov radiation complex components corresponding cos² current density current distribution diffraction dipole direction of phase dl dm dẞ e-ik e-ikor E-polarized field e-tin electromagnetic etir evaluated factor finite frequency Fresnel integral given gives H-polarized H₁ H₂ half-plane half-space homogeneous plane wave ikor incident field integrand line-source magnetostatic field Maxwell's equations n₁ obtained P(cos path of integration perfectly conducting permittivity phase propagation plane wave spectrum polar pole problem pure imaginary R₁ radiation field reflection coefficient refractive index result screen simple sin² sinh ß solution specified spectrum function steepest descents superposition surface current density surface wave theory time-averaged power flux time-harmonic tion total field two-dimensional uniaxial medium vacuum field vector wave spectrum representation written z-axis zero Απ μ²