## Classical electrodynamics |

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Results 1-3 of 82

Page 281

The surface 5, with certain apertures in it, gives rise to reflected and transmitted

fields in

absence of the surface. of the system. If the incident wave is described by the

fields £„, B0, the reflected wave by the fields Er, Br, and the transmitted wave by E

,, B,, then the total fields in

stands for r or /. The basic problem is to determine (E,, B<) and (Er, Br) from the

incident ...

The surface 5, with certain apertures in it, gives rise to reflected and transmitted

fields in

**regions**I and 11 in addition to the fields which would be present in theabsence of the surface. of the system. If the incident wave is described by the

fields £„, B0, the reflected wave by the fields Er, Br, and the transmitted wave by E

,, B,, then the total fields in

**regions**I and II are E = E,, + E,, B = B0 + B,, where sstands for r or /. The basic problem is to determine (E,, B<) and (Er, Br) from the

incident ...

Page 282

which originate from the diffracting

neighborhood of Sz. This means that the fields, and therefore y(x), will satisfy the

radiation condition, (9.64) With this condition on y> it can readily be seen that the

integral in (9.63) over the hemisphere 52 vanishes inversely as the hemisphere

radius as that radius goes to infinity. Then we obtain the Kirchhoff integral for y(x)

in

now ...

which originate from the diffracting

**region**, they will be outgoing waves in theneighborhood of Sz. This means that the fields, and therefore y(x), will satisfy the

radiation condition, (9.64) With this condition on y> it can readily be seen that the

integral in (9.63) over the hemisphere 52 vanishes inversely as the hemisphere

radius as that radius goes to infinity. Then we obtain the Kirchhoff integral for y(x)

in

**region**II: = - J- f ^ n • Tv> + ikll + -I)f J 477 Jsi R L \ kR/ R J da' (9.65) where n isnow ...

Page 286

The unit vectors n and n' = — n are directed into

Our aim is to obtain an integral form for the fields in

specified on the right-hand surface Sv This is analogous to the geometrical

situation shown in the left side of Fig. 9.5. We do not care about the values of the

fields in

to be such that the fields in

9.77) ...

The unit vectors n and n' = — n are directed into

**regions**II and II', respectively.Our aim is to obtain an integral form for the fields in

**region**II in terms of the fieldsspecified on the right-hand surface Sv This is analogous to the geometrical

situation shown in the left side of Fig. 9.5. We do not care about the values of the

fields in

**region**II'. In fact, the hypothetical sources inside the disc will be imaginedto be such that the fields in

**region**II' give a contribution to the surface integral (9.77) ...

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### Contents

Introduction to Electrostatics | 1 |

Scalar potential | 7 |

Greens theorem | 14 |

Copyright | |

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