First published in 1961, this book gives the full mathematical theory of the propagation of radio waves in the ionosphere and their reflection from it. It is complementary to J. A. Ratcliffe's books The Magneto-ionic Theory, which concentrates on the physical principles involved, since Dr Budden gives the mathematical development of many topics mentioned by Ratcliffe. The book will serve as a textbook for those comparatively new to the subject and as a reference book for practising engineers and research workers in the field of radio communication, for whom an understanding of the mathematical methods is important in solving practical problems.
Preface; 1. Introduction; 2. The basic equations; 3. The constitutive relations; 4. Propagation in a homogenous isotropic medium; 5. Propagation in a homogenous anisotropic medium. Magentoionic theory; 6. Properties of the Appleton-Hartree formula; 7. Definition of the reflection and transmission coefficients; 8. Reflection at a sharp boundary; 9. Slowly varying medium. The W.K.B solutions; 10. Ray theory for vertical incidence when the Earth's magnetic field is neglected; 11. Ray theory for oblique incidence when the Earth's magnetic field is neglected; 12. Ray theory for vertical incidence when the Earth's magnetic field is included; 13. Ray theroy for oblique incidence when the Earth's magnetic field is included; 14. The general problem of ray tracing; 15. The airy integral function and the Stokes phenomenon; 16. Linear gradient of electron density; 17. Various electron density profiles when the Earth's magnetic field is neglected; 18. Anisotropic media. Coupled wave-equations and W.K.B solution; 19. Application of coupled wave-equations; 20. The phase integral method; 21. Full wave solutions when the Earth's magnetic field is included; 22. Numerical methods for finding reflection coefficients; 23. Reciprocity.