ELECTROMAGNETIC PROPAGATION IN MULTI-MODE RANDOM MEDIA
CONTENTS INTRODUCTION REFERENCES COUPLED LINE EQUATIONS 2 1 INTRODUCTION 2 2 TWO-MODE COUPLED LINE EQUATIONS 2 3 EXACT SOLUTIONS 2 4 DISCRETE APPROXIMATION 2 5 PERTURBATION THEORY 2 6 MULTI-MODE COUPLED LINE EQUATIONS GUIDES WITH WHITE RANDOM COUPLING 3 1 INTRODUCTION 3 2 NOTATION—TWO-MODE CASE 3 3 AVERAGE TRANSFER FUNCTIONS 3 4 COUPLED POWER EQUATIONS 3 5 POWER FLUCTUATIONS 3 6 TRANSFER FUNCTION STATISTICS 3 7 IMPULSE RESPONSE STATISTICS 3 8 DISCUSSION EXAMPLES—WHITE COUPLING 4 1 INTRODUCTION 4 1 1 SINGLE-MODE INPUT 4 1 2 MULTI-MODE COHERENT INPUT 4 1 3 MULTI-MODE INCOHERENT INPUT 4 2 COUPLED POWER EQUATIONS—TWO-MODE CASE 4 2 1 SINGLE-MODE INPUT 4 2 2 TWO-MODE COHERENT INPUT 4 2 3 TWO-MODE INCOHERENT INPUT 4 3 POWER FLUCTUATIONS—TWO-MODE GUIDE 4 3 1 SINGLE-MODE INPUT 4 3 2 TWO-MODE COHERENT INPUT 4 3 3 TWO-MODE INCOHERENT INPUT 4 3 4 DISCUSSION 4 4 IMPULSE RESPONSE—TWO-MODE CASE 4 5 COUPLED POWER EQUATIONS—FOUR-MODE CASE 4 5 1 SINGLE-MODE INPUT 4 5 2 MULTI-MODE COHERENT INPUT 4 5 3 MULTI-MODE INCOHERENT INPUT 4 6 NONDEGENERATE CASE—APPROXIMATE RESULTS 4 6 1 AVERAGE TRANSFER FUNCTIONS 4 6 2 COUPLED POWER EQUATIONS 4 6 3 POWER FLUCTUATIONS 4 6 4 DISCUSSION 4 7 DISCUSSION DIRECTIONAL COUPLER WITH WHITE PROPAGATION PARAMETERS 5 1 INTRODUCTION 5 2 STATISTICAL MODEL 5 3 AVERAGE TRANSFER FUNCTIONS 5 4 COUPLED POWER EQUATIONS 5 5 DISCUSSION GUIDES WITH GENERAL COUPLING SPECTRA 6 1 INTRODUCTION 6 2 ALMOST-WHITE COUPLING SPECTRA 6 2 1 TWO MODES 6 2 2 N MODES 6 3 GENERAL COUPLING SPECTRA—LOSSLESS CASE 6 3 1 TWO MODES 6 3 2 N MODES 6 4 GENERAL COUPLING SPECTRA—LOSSY CASE 6 4 1 TWO MODES 6 4 2 N MODES 6 5 DISCUSSION FOUR-MODE GUIDE WITH EXPONENTIAL COUPLING COVARIANCE 7 1 INTRODUCTION 7 2 AVERAGE TRANSFER FUNCTIONS 7 3 COUPLED POWER EQUATIONS 7 4 DISCUSSION RANDOM SQUARE-WAVE COUPLING 8 1 INTRODUCTION 8 2 TWO MODES—BINARY INDEPENDENT SECTIONS 8 3 TWO MODES—BINARY MARKOV SECTIONS 8 4 FOUR MODES—MULTI-LEVEL MARKOV SECTIONS 8 5 DISCUSSION MULTI-LAYER COATINGS WITH RANDOM OPTICAL THICKNESS 9 1 INTRODUCTION 9 2 MATRIX ANALYSIS 9 3 KRONECKER PRODUCTS 9 4 EXAMPLE: 13-LAYER FILTER 9 4 1 STATISTICAL MODEL 9 4 2 TRANSMITTANCE 9 4 3 TWO-FREQUENCY TRANSMISSION STATISTICS 9 5 DISCUSSION CONCLUSION