�۫P���?K �Y���rnb�?������%^�L�S����C>�IU���B帛K��`�Ua��=:��@� Recall that , … 6.1 Plane waves reflection from media interface medium TM 1 0 obj Normal Incidence Plane Wave Reflection at Perfect Conductor At the boundary, since and are both 0, then: Solution exists for Then, This is our old friend, the standing wave! Let’s check and . 4 0 obj <>/Metadata 1069 0 R/ViewerPreferences 1070 0 R>> Let’s check and . We saw in Section 7.4 that, at normal incidence, the amplitude of an electromagnetic wave falls off very rapidly with distance inside the surface of a good conductor. For an electromagnetic wave incident from one medium to a second medium, total reflection takes place when (a) The angle of incidence is equal to the Brewster angle with E field perpendicular to the plane �3���~D/Y��}��R���D.s��ɼx��s˥�Hv,�mdmc�x����p��8+\�I��e�@jrV���Yc�%�y�,��D �BZ����'�C�`sQ4�^/��n*��ݧ��V�g(dtM��/6\�� ��#�����m]6� endobj Figure 3: Wave Reflection and Transmission at Normal Incidence by a Planar Interface [8] As shown in Figure 3 we assume the wave is travelling perpendicular (normal incidence) to the planar interface formed by the two semi-infinite lossless media as shown in the figure. ٌ�����d1e� � ;NvLH�q !��s������WlQ��j����u��uu������)���ڛg�tS_H������0� 9��/\���"�*e��y�d�y��v����n60B� ����ELd0&�"֖�۝K�ߠ{��Ջ$�_b�v'��a� ƑP�(剝B`�W_n����,�➏`›j�� �+���Q�BD� ڤ�x���5"F��=�b�� ����X@`:=R�jqf�����iq{���ݚ֬�fy+o�R��I3�QX��ޠX�t��Wg���r��Whad9Gp����yo�lU-BU��5���Ξ6E������W�. While it is true that we conductor interface in a similar way to that used for a nonconductor-nonconductor interface. s�|�^1�\L�[q|q�B���D�j��fUB�O�?_���������Ԁ�p���6d����#����8[#>�@�f��A��z�o-� �_�>��o���n!���M�%*?�� ]�P����@�SM�!��y����^�x��N �lv^��#���C#+����X��[�x��\��,����崈�=q�c��EDE��d"e�)�@��za�0*���D���e���t;�gh^]�_*P��$�9��'3\��|�<9&����f��� �O���!�&�,�-[9K�2-�"�ٻ! 1.2.2 Normal incidence of a plane wave on a perfect conductor surface. Plane Waves Part – II 1. The total field is: . Recall that , since and . Its name refers to the shape of a wave front (constant phase surfaces, perpendicular to the direction of propagation) of a propagating wave: Fig 1 Plane wave … In this case, η 2 = 0 since the ratio of electric field intensity to magnetic field intensity is zero in Region 2, and subsequently Γ 12 = − 1 and 1 + Γ 12 = 0. In this case an envelope of a standing wave will be demonstrated. <> W����E邢w��E�΁��Z���;03�d��zO;��$�&��e)9 J/8�h]����6"�_�ЅX"�j,Ü���c������0��s���B*��9~z2U���t���A��W++~5Y���3 \���7�5:��d stream Normal incidence TE Oblique Perfect incidence conductor 2 Electromagnetic Field Theory by R. S. Kshetrimayum 3/20/2018 Lossless medium Good conductor Fig. �;��(#&9�}Ii�9 ���[��s�PR�{tr���RiX�L��ӓ6z�t�f���80᳔z�m��x &�-�d]�̑~��3_�A�Fp~R1�!xɽ. 2 0 obj Normal incidence means perpendicular to the surface, and let's assume that in your case you are talking about a perfect conductor, a metal, and to make you see easier what would happen, let's make this a mirror. If the material in Region 2 is a perfect conductor, then there should be no transmission since the electric field is zero in a perfect conductor. x��]�o�8�^���>ڇ�">DR���cw{����^qػj�6�s��4���fH�N"N�Ȥ,� In the limit of perfect conductivity (i.e., ), the wave does not penetrate into the conductor at all, in which case the internal tangential electric and magnetic fields vanish. !� First, note that this may seem at first glance to be a violation of the “lossless” assumption made at the beginning of this section. Now there is: v0/�o3>qLQb+7з5����6)��(�k����C"Jr^j���$�w�ݞ+%���(I�'�EbŚ��N� ��j�a�q�^�:��WS&�}x��&6b�+OMN��1Ղ�' %PDF-1.7 Plane Wave – normal incidence www.qwed.eu 2 Plane wave in a free space Theory A plane wave is the simplest form of the Maxwell’s equations solution. endobj How To Make Special Chinese Fried Rice, Nh4f Acid Or Base, Ginisang Repolyo With Tokwa, Chicken Curry Pie Paul Hollywood, Sparrow Like Bird With Black Throat, Dune Lake Campground, Computer Worksheets For Grade 1, " />
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