List of figures; List of tables; Preface; Acknowledgements; 1. Introduction to FDTD; 1.1. The finite-difference time-domain method basic equations; 1.2. Approximation of derivatives by finite differences; 1.3. FDTD updating equations for three-dimensional problems; 1.4. FDTD updating equations for two-dimensional problems; 1.5. FDTD updating equations for one-dimensional problems; 1.6. Exercises; 2. Numerical stability and dispersion; 2.1. Numerical stability; 2.2. Numerical dispersion; 2.3. Exercises; 3. Building objects in the Yee grid; 3.1. Definition of objects
3.2. Material approximations3.3. Subcell averaging schemes for tangential and normal components; 3.4. Defining objects snapped to the Yee grid; 3.5. Creation of the material grid; 3.6. Improved eight-subcell averaging; 3.7. Exercises; 4. Active and passive lumped elements; 4.1. FDTD updating equations for lumped elements; 4.2. Definition, initialization, and simulation of lumped elements; 4.3. Simulation examples; 4.4. Exercises; 5. Source waveforms and time to frequency domain transformation; 5.1. Common source waveforms for FDTD simulations
5.2. Definition and initialization of source waveforms for FDTD simulations5.3. Transformation from time domain to frequency domain; 5.4. Simulation examples; 5.5. Exercises; 6. S-Parameters; 6.1. Scattering parameters; 6.2. S-Parameter calculations; 6.3. Simulation examples; 6.4. Exercises; 7. Perfectly matched layer absorbing boundary; 7.1. Theory of PML; 7.2. PML equations for three-dimensional problem space; 7.3. PML loss functions; 7.4. FDTD updating equations for PML and MATLAB implementation; 7.5. Simulation examples; 7.6. Exercises; 8. Advanced PML formulations
8.1. Formulation of CPML8.2. The CPML algorithm; 8.3. CPML parameter distribution; 8.4. MATLAB implementation of CPML in the three-dimensional FDTD method; 8.5. Simulation examples; 8.6. CPML in the two-dimensional FDTD method; 8.7. MATLAB implementation of CPML in the two-dimensional FDTD method; 8.8. Auxiliary differential equation PML; 8.9. Exercises; 9. Near-field to far-field transformation; 9.1. Implementation of the surface equivalence theorem; 9.2. Frequency domain near-field to far-field transformation; 9.3. MATLAB implementation of near-field to far-field transformation
9.4. Simulation examples9.5. Exercises; 10. Thin-wire modeling; 10.1. Thin-wire formulation; 10.2. MATLAB implementation of the thin-wire formulation; 10.3. Simulation examples; 10.4. An improved thin-wire model; 10.5. MATLAB implementation of the improved thin-wire formulation; 10.6. Simulation example; 10.7. Exercises; 11. Scattered field formulation; 11.1. Scattered field basic equations; 11.2. The scattered field updating equations; 11.3. Expressions for the incident plane waves; 11.4. MATLAB implementation of the scattered field formulation; 11.5. Simulation examples; 11.6. Exercises
Summary
This book introduces the powerful Finite-Difference Time-Domain method to students and interested researchers and readers. An effective introduction is accomplished using a step-by-step process that builds competence and confidence in developing complete working codes for the design and analysis of various antennas and microwave devices
