Book contents
- Frontmatter
- Contents
- Preface
- 1 The ionosphere and magnetosphere
- 2 The basic equations
- 3 The constitutive relations
- 4 Magnetoionic theory 1. Polarisation and refractive index
- 5 Magnetoionic theory 2. Rays and group velocity
- 6 Stratified media. The Booker quartic
- 7 Slowly varying medium. The W.K.B. solutions
- 8 The Airy integral function and the Stokes phenomenon
- 9 Integration by steepest descents
- 10 Ray tracing in a loss-free stratified medium
- 11 Reflection and transmission coefficients
- 12 Ray theory results for isotropic ionosphere
- 13 Ray theory results for anisotropic plasmas
- 14 General ray tracing
- 15 Full wave solutions for isotropic ionosphere
- 16 Coupled wave equations
- 17 Coalescence of coupling points
- 18 Full wave methods for anisotropic stratified media
- 19 Applications of full wave methods
- Answers to problems
- Bibliography
- Index of definitions of the more important symbols
- Subject and name index
9 - Integration by steepest descents
Published online by Cambridge University Press: 06 December 2010
- Frontmatter
- Contents
- Preface
- 1 The ionosphere and magnetosphere
- 2 The basic equations
- 3 The constitutive relations
- 4 Magnetoionic theory 1. Polarisation and refractive index
- 5 Magnetoionic theory 2. Rays and group velocity
- 6 Stratified media. The Booker quartic
- 7 Slowly varying medium. The W.K.B. solutions
- 8 The Airy integral function and the Stokes phenomenon
- 9 Integration by steepest descents
- 10 Ray tracing in a loss-free stratified medium
- 11 Reflection and transmission coefficients
- 12 Ray theory results for isotropic ionosphere
- 13 Ray theory results for anisotropic plasmas
- 14 General ray tracing
- 15 Full wave solutions for isotropic ionosphere
- 16 Coupled wave equations
- 17 Coalescence of coupling points
- 18 Full wave methods for anisotropic stratified media
- 19 Applications of full wave methods
- Answers to problems
- Bibliography
- Index of definitions of the more important symbols
- Subject and name index
Summary
- Type
- Chapter
- Information
- The Propagation of Radio WavesThe Theory of Radio Waves of Low Power in the Ionosphere and Magnetosphere, pp. 229 - 253Publisher: Cambridge University PressPrint publication year: 1985