Thumbnail: Plan wave. Unless otherwise noted, LibreTexts content is licensed by CC BY-NC-SA 3.0. (Public Domain via Wikipedia). It is useful to identify three particular geometries for unguided waves. • 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. 146 0 obj <>/Filter/FlateDecode/ID[<943CFF8B845CC94550116EDF82D7CCD0><5F7D88BBF655FB4D8B1190D80AC378E6>]/Index[116 60]/Info 115 0 R/Length 132/Prev 353204/Root 117 0 R/Size 176/Type/XRef/W[1 2 1]>>stream H�2P0 B]3cKsC�C. 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 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. The LibreTexts libraries are Powered by MindTouch® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. plane waves. Solutions to the electromagnetic wave equations exist in a variety of forms, representing different types of waves. ��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+ 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}. ������]� �b������݀� }o]��s~Nin^1P������ڊ���V���������������������n�w���.WO.� �G2/ endstream endobj 20 0 obj<>>> endobj 21 0 obj<>stream 1[`(b�h�(Q2�1 ���'���T\de���Z(y��i���?�X����+a�t�? Let’s derive a model from Maxwell’s equations that can handle this full spectrum. But we have the ability to study the full spectrum, from perfect insulator to good insulator to semiconductor to good conductor to perfect conductor. 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 Wave propagation: In good conductors and good dielectrics . the phase speed v and also the group speed vg of the monochromatic EM plane wave in the conductor: 22 k ek v k ek 1 1 g dk v dk d d We will discuss phase speed v and the group speed vg more – later… The above plane wave solutions satisfy the above EM wave equations(s) for any choice of Eo . Ellingson, Steven W. (2018) Electromagnetics, Vol. �[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;�[email protected]�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����� 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. 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. {����E>�'����yy;��'r�ϋ�P$^~��S9���2����u.��FV�5��貖�b����ܓ��@�#�B��R8+_���'�F� endstream endobj 117 0 obj <> endobj 118 0 obj <> endobj 119 0 obj <>stream 1. endstream endobj 16 0 obj<>stream %PDF-1.6 %���� Have questions or comments? �n [�[8 y�a�"S��L�� ���^)��=������SD������צ[�۸湦�$���Y���̫Q��1U�I���α�֍�#�.L�=�v�}��GLT��׶��S\�=��z4oG���S�v;�u�Df]y~mGl�A��)�wϭLU���c�O���R��y���:�V��m?����Pѧ������k�n�8�Z��Co�&���P����L�fQ9.�(����?K�;����=�I���a!��[s׶� ]��W�ub�H��s+�n$��z�P��uu������ �(ͤT�