Electromagnetic Scattering from Random Media

Hardcover (Print)
Buy New
Buy New from BN.com
$103.01
Used and New from Other Sellers
Used and New from Other Sellers
from $25.00
Usually ships in 1-2 business days
(Save 80%)
Other sellers (Hardcover)
  • All (9) from $25.00   
  • New (5) from $105.41   
  • Used (4) from $25.00   

Overview

The book develops the dynamical theory of scattering from random media from first principles. Its key findings are to characterize the time evolution of the scattered field in terms of stochastic differential equations, and to illustrate this framework in simulation and experimental data analysis. The physical models contain all correlation information and higher order statistics, which enables radar and laser scattering experiments to be interpreted. An emphasis is placed on the statistical character of the instantaneous fluctuations, as opposed to ensemble average properties. This leads to various means for detection, which have important consequences in radar signal processing and statistical optics. The book is also significant because it illustrates how ideas in mathematical finance can be applied to physics problems in which non-Gaussian noise processes play an essential role. This pioneering book represents a significant advance in this field, and should prove valuable to leading edge researchers and practitioners at the postgraduate level and above.

Read More Show Less

Product Details

Meet the Author

Dr Timothy R. Field Associate Professor McMaster University Ontario, Canada Timothy Field studied undergraduate mathematics at King's College, Cambridge University, and went on to receive a doctorate in mathematics from New College and the Mathematical Institute, Oxford University in 1997, where he studied mathematical physics under Sir Roger Penrose. He formerly held a UK government sponsored research fellowship for research into stochastic techniques in electromagnetic scattering problems. Currently Timothy is an Associate Professor in the Department of Electrical and Computer Engineering, an Associate Member in the Department of Mathematics, and faculty member of the Brain Body Institute at McMaster University, Canada. He was recently awarded a five year NSERC Discovery grant for his pioneering research into 'Applications of stochastic differential equations to electromagnetic phenomena'. He has lectured worldwide on topics in mathematical physics.

Read More Show Less

Table of Contents

PART I: STOCHASTIC CALCULUS
1. Heat equation and Brownian motion
2. Ito calculus
3. Stochastic differential geometry
4. Examples of stochastic differential equations
PART II: SCATTERING DYNAMICS
5. Diffusion models of scattering
6. Rayleigh scattering
7. Population dynamics
8. Dynamics of K-scattering
9. Models of weak scattering
10. Scattering from general populations
PART III: SIMULATION AND EXPERIMENT
11. Simulation of K-scattering
12. Experimental tests
13. Non-linear dynamics of sea clutter
14. Observability of scattering cross-section A. Stability and infinite divisibility B. Ito versus Stratonovich stochastic integrals C. Filtrations, conditional probability and Markov property D. Girsanov's theorem E. Partition function solution to BDI model F. Summary of K-scattering G. Iterative solution for vector processes H. Open problems I. Suggested further reading References Index

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)