52 0 0 0 0 0 d1 It is useful to identify three particular geometries for unguided waves. 116 0 obj <> endobj {����E>�'����yy;��'r�ϋ�P$^~��S9���2����u.��FV�5��貖�b����ܓ��@�#�B��R8+_���'�F� ��M����@[Y�5x���`����.��.RT��%h)����>���.��.ާċi�bJ�C��"�1dpx)eŏ?��i9��ͲAN�ʲ"�3ꞵ���g��~qVg5�zq�X/���tR��b��ȣ���U�Bs5a!�jX(�Z�����g&�����,�?�Ӄ#�6��?={�A����eU>�L��y�ϲyVӉ�+��U+ %%EOF *탞�r�I6-�j�y�Y(k(be�qʺ���w8�����̒��z�Jc��I�&���^�ޱ�)K�]��������ɷ_+/m��HQ��|����x ��dzѽϪu�G�m��s;�;��Hd %�F��#�V������)}#x�EM���v�����`�5�g[.W�udxLI���a��. endstream endobj 117 0 obj <> endobj 118 0 obj <> endobj 119 0 obj <>stream Plane waves reflection from a media interface Normal incidence TE Oblique Perfect incidence conductor 2 Electromagnetic Field Theory by R. S. Kshetrimayum 3/25/2014 Lossless medium Good conductor Fig. 1 0 obj<> endobj 2 0 obj<> endobj 3 0 obj<> endobj 5 0 obj<>/Type/Page>> endobj 6 0 obj<> endobj 7 0 obj<> endobj 8 0 obj<> endobj 9 0 obj<> endobj 10 0 obj<> endobj 11 0 obj<> endobj 12 0 obj<> endobj 13 0 obj<> endobj 14 0 obj<>>> endobj 15 0 obj<>stream *9�Q,��������B���a���g����S��bp)�+����8�/�l^ C��d: �m��a���uV�|;���Ť�o[��z�Rq]NB�tѥ��a�J��S2%�G�;cgFGp�����! [��Dp�5d��#'�,Eq��ގ�bDf;��}i�H�ዾ��#:z��������p9�^n�a���T�[�����E`N y� P`�v����?���;���֛� ��c2鎌@� ���l�-ݮ7����n�#��ML1|s��q�6�i��}��Lu���t�cMg��> �kd�܆��:� �l"��+긷ޑ��7:��ݝd}��D��,����u~S�aUк�R�ۤ�(^��z�^v��/�Y��7�g�b�j��]�M���j�_��^u��o��~����?����:��"B5��PZ�dnOLQ�鴁iTJ��:�l���F(��f�#Uk�T�G��8.��� "�X�&����X�����u����4�6ʧo�Mf^YX2��-_�)����}�0���Cq�������B�G ����|��"u2��r ���H^��t�J�r,'r*g��J�r!���#y#o��O�p��tXLF,��j�Oj,&-���1�&"��͡�$�@��TS�SL�a���S�Yh�x1�!��"q�nT1p�*9��������j���z�YP���� 175 0 obj <>stream �[1!����Vk�?� 2(v�-+���`�����`��`����?7�g˟�`+�C'�"�m�>?>�I��:�]3.F�~�8�u��G0Vѯ��k�����4ƾGxу�I�罠�u�py���@�����ۈk6e7�~���r�W!�}p_B׶�l(M����C����c;�$@�w ��E���D���N�+�������#o�0�N�)ƀ��N-�x3�³�/���Cz�J`�c���h�ws�8��: �@+DÉ��4��[� < �Ky�_^Mj�{ED(��S����AZa0���YU`�+B����!�ʼ΀G��)�EKT��yg���Yf��!���� �*F��sjf���� y|�-�uiu��(˼$� ����I�������+�x������/�D�.$�J�L���˚E(fE��,@�D�ѫ�R����ׅ\��r��0!i#سb�6Jg#4����y�mf�映�&F����f����� ���O�>*�Q%b���y-��Mo>Z'X�����|��ŋ��a!O�,�'�2�&��||��ʕ_h%-�P�c^���\��Q�I4땖&uY��j����/�UM�XN�h�ϫ�����⼦ى%�N�M pV0��w�6�2���w�wvvrll��t�2��9��y�@-vv\�. j"��8[�sq�4E�p�ơ���1CeC��8�Bc��ci�Bk��V�&�ՃN�8tT��� (8&�4l��͡�!`K�!��@�8�q�uz'��4?������fr|� n�7��I���HT�0��������6 i�w���ȗoHlo�H�P�#��?q���m��������� ����` I�] endstream endobj 17 0 obj<> endobj 18 0 obj<>>> endobj 19 0 obj<>stream • Given a plane wave incident on a highly-conducting surface, the electric field (and thus the current density) is found to be concentrated at the surface of the conductor. H�D�1KA��]����Jmd��Bs1x���B$�� j���?Al��]%B�-�t�{͑���s7���̛��0.u��]]_�G��Yi�a��B��zy��JՀU��OX�A��j����!��I�~za��E����Sc�-�s�. • The same phenomenon occurs for a current carrying conductor such as a wire. @����� $� ��@B�$Q$d�� �� �9@�/ ĪlI ����2H� d���j�� �zDH ���"��5Hl6�X$�� � L�� W10�?�Ƨ y�� Waves are means of transporting energy or information. But we have the ability to study the full spectrum, from perfect insulator to good insulator to semiconductor to good conductor to perfect conductor. Watch the recordings here on Youtube! For this incompletely defined example, the initial part of Step 2 of the method involves The assumption of uniformity means that the fields have no dependence on the transverse coordinates x,yand are functions only of z,t. In this article, you will find the Study Notes on EM Wave Propagation which will cover the topics such as Introduction, Wave propagation in Lossy dielectrics, plane waves in free space, Plane waves in lossless Dielectrics, Plane waves in good conductors, the incidence of EM wave and polarization.. 1. 0 O�|x^���F��6?i�ʐ���[-|��P$X��� ������0��0��r3�n� Each of these geometries is defined by the shape formed by surfaces of constant phase, which we refer to as phasefronts. Unless otherwise noted, LibreTexts content is licensed by CC BY-NC-SA 3.0. H�2P0 B]3cKsC�C. Have questions or comments? Let’s derive a model from Maxwell’s equations that can handle this full spectrum. Wave propagation: In good conductors and good dielectrics . Section 7-3: Wave Polarization Problem 7.7 An RHC-polarized wave with a modulus of 2 (V/m)is traveling in free space in the negative z-direction. h��Z�r�8���wk*� .��JU|��M&�q2��$�D�S���c���t��(��e&���}��@�/���*q"*�By��T�Q"��D�S�+�����h� �GёC�\�Q�"� uq�@�x�u�� plane waves. [ "article:topic-guide", "license:ccbysa", "authorname:swellingson", "showtoc:no", "program:virginiatech" ], Associate Professor (Electrical and Computer Engineering), 9.1: Maxwell’s Equations in Differential Phasor Form, Virginia Polytechnic Institute and State University, Virginia Tech Libraries' Open Education Initiative, https://doi.org/10.21061/electromagnetics-vol-1, https://creativecommons.org/licenses/by-sa/4.0. H�2P0 B]C]#�C. High Frequency Limit Up: Wave Propagation in Uniform Previous: Anomalous Dispersion and Resonant Wave Propagation in Conducting Media In the limit , there is a significant difference in the response of a dielectric medium to an electromagnetic wave, depending on whether the lowest resonant frequency is zero or non-zero.For insulators, the lowest resonant frequency is different from zero. Uniform Plane Waves 2.1 Uniform Plane Waves in Lossless Media The simplest electromagnetic waves are uniform plane waves propagating along some fixed direction, say the z-direction, in a lossless medium {,μ}. Legal. ���'���T\de���Z(y��i���?�X����+a�t�? �M�1�/ ��m�. (Public Domain via Wikipedia). Report adoption of this book here. Blacksburg, VA: VT Publishing. 6.1 Plane waves reflection from media interface Lossyconducting medium TM Brewster angle Total internal reflection Effect on polarization ���.�%k�}1�/���a�i��b���wWq�e��K 31ь����S��b� �x>E�J�6�K:ƻ@υ��8�s޶X P�Z�8��O�a���U�š��t[�2�Ij�#!1�b�Kx"z}�X��{,ߌ�Qe�A1,�e~�x1&���2��Cm�+f0��u��U�U��G�*oU>.����E^����pF���&����-v�/@��_���p��ĻHu��V���ق��.Б_��5�2I�|B�A


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