An Engineering Approach to Asymptotics and Approximations

With Applications in Optical Wave Propagation and Imaging in Turbulence
The objective of this textbook is twofold—to introduce advanced novel mathematical techniques and then to use them to solve a variety of problems that may arise in various applications.
The objective of this textbook is twofold—to introduce advanced novel mathematical techniques and then to use them to solve a variety of problems that may arise in various applications. The novel mathematical techniques, covered in Part I of the text, involve the use of generalized hypergeometric functions, including the Meijer G-function. We first present an introduction to asymptotic analysis for both small and large arguments of special functions and then use these asymptotic expressions to develop accurate algebraic approximations for generalized hypergeometric functions. In Part II we apply these novel mathematical techniques to a number of problems in electromagnetic wave propagation, imaging through atmospheric turbulence, and non-Kolmogorov turbulence. The idea is to present the mathematical details that are often missing in the literature in the development of various statistical models in these application areas and to introduce new methods for solution of the challenging equations that result from optical turbulence. In many cases we present exact results followed by accurate algebraic approximations. All required mathematical identities and integrals are presented in five appendices at the end of the text. In writing this text, the authors have tried to present the material in sufficient detail to reach an audience with limited knowledge of the subjects covered. To aid the reader in this regard, the text comprises a large number of worked examples in most chapters.

UK Delivery:

• Free delivery on all orders of £10 or more.
• £1.49 delivery fee on orders below £10.
• UK orders are shipped via Royal Mail 2nd Class.

International Delivery:

• Flat rate delivery charges vary by country.

Dispatch and Delivery Times:

• All orders are shipped from our warehouse in Northampton, UK within 48 hours of receipt during working hours.
• UK mainland orders typically arrive within 3-5 working days via Royal Mail 2nd Class.
• International estimated delivery times:
• Europe & Channel Islands: 7 to 10 working days
• USA: 7 to 15 working days
• Rest of the World: 9 to 21 working days

View our full delivery infomation here.