JELE_V1_N3_RP3 S.K. Raghuwanshi V. Kumar R.R. Pandey Journal on Electronics Engineering 2249 – 0760 1 3 14 21 Matrix method, Guided/leaky Waveguide Structure, Formal Electromagnetic Theory Concept Guided/Radiation modes of a multilayer symmetric slab waveguide are treated in detail. Since the slab is assumed to be infinite extended in the yz plane, all field quantities are considered to be independent of y The analysis is based on modal expansion formulation and the modes can be classified as TE and TM as well as even and odd ones. Applying the boundary conditions at the interfaces, the expansion coefficients of the field components are easily calculated. In addition, the normalization factors, and the orthogonal ties properties are determined by deriving appropriate integrals over the cross-section of the waveguide. Finally the result is validated with some examples. March - May 2011 Copyright © 2011 i-manager publications. All rights reserved. i-manager Publications http://www.imanagerpublications.com/Article.aspx?ArticleId=1421