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| Preface | |
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| Brief review of Electromagnetics and Guided Waves | |
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| Introduction | |
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| Maxwell's equations | |
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| Uniform plane waves in isotropic media | |
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| State of polarization | |
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| Reflection and refraction by a planar boundary between two dielectric media. | |
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| Perpendicular polarization | |
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| Reflection and refraction | |
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| Total internal reflection | |
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| Parallel polarization | |
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| Reflection and refraction | |
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| Total internal reflection | |
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| Guided waves | |
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| TE modes | |
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| TM modes | |
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| Waveguides with constant index regions | |
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| References | |
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| Problems | |
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| List of Figures | |
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| Step-index Thin-film Waveguides | |
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| Introduction | |
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| Dispersion of step-index thin-film waveguides | |
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| TE modes | |
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| TM modes | |
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| Generalized parameters | |
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| a, b, c, d and V | |
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| bV diagram | |
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| Cutoff thickness and cutoff frequencies | |
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| Number of guided modes | |
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| Birefringence in thin-film waveguides | |
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| Fields of step-index thin-film waveguides | |
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| TE modes | |
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| TM modes | |
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| Cover and substrate modes | |
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| Time-average power and confinement factors | |
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| Time-average power transported by TE modes | |
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| Confinement factor of TE modes | |
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| Time-average power transported by TM modes | |
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| Phase and group velocities | |
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| References | |
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| Problems | |
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| List of figures | |
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| Graded-index Thin-film waveguides | |
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| Introduction | |
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| TE modes guided by linearly graded dielectric waveguides | |
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| Exponentially graded dielectric waveguides | |
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| TE modes | |
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| TM modes | |
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| WKB method | |
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| Auxiliary function | |
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| Fields in the R Zone | |
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| Fields in the L Zone | |
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| Fields in the transition zone | |
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| The constants | |
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| The dispersion relation | |
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| An example | |
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| Hocker and Burns' numerical method | |
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| TE modes | |
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| TM modes | |
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| Step-index thin-film waveguides vs. graded-index dielectric waveguides | |
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| References | |
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| Problems | |
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| List of figures | |
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| Propagation Loss in Thin-film Waveguides | |
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| Introduction | |
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| Complex relative dielectric constant and complex refractive index | |
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| Propagation loss in step-index waveguides | |
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| Waveguides having weakly absorbing materials | |
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| Metal-clad waveguides | |
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| Attenuation in thick waveguides with step-index profiles | |
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| Loss in TM0 mode | |
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| Metal-clad waveguides with graded index profiles | |
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| References | |
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| Problem | |
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| List of Figures | |
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| Three-dimensional Waveguides with Rectangular Boundaries | |
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| Fields and modes guided by rectangular waveguides | |
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| Orders of magnitude of fields | |
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| Modes | |
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| Modes | |
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| Marcatili's method | |
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| Modes | |
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| Expressions for H x | |
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| Boundary conditions along horizontal boundaries, y = ?h/2, x x | |
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| Transverse wave vector K y | |
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| Approximate dispersion relation | |
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| Modes | |
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| Discussions | |
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| Generalized guide index | |
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| Effective index method | |
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| A pseudo waveguide | |
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| An alternate pseudo waveguide | |
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| Generalized guide index | |
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| Comparison of methods | |
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| References | |
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| Problems | |
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| List of figures | |
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| Optical directional couplers and their | |