Nonlinear Waves in Waveguides
Home > Science, Technology & Agriculture > Mechanical engineering and materials > Materials science > Nonlinear Waves in Waveguides: with Stratification(Research Reports in Physics)
Nonlinear Waves in Waveguides: with Stratification(Research Reports in Physics)

Nonlinear Waves in Waveguides: with Stratification(Research Reports in Physics)


     0     
5
4
3
2
1



International Edition


About the Book

This book deals with nonlinear waves and their propagation in metallic and dielectric waveguides and media with stratification. The underlying nonlinear evolution equations (NEEs) are derived and solutions given for specific situations. The reader will find new elements to the traditional approach. Various dispersion and relaxation laws for different guides are considered as well as the explicit form of projection operators, NEEs, quasi-solitons and of Darboux transforms. Special points relate to: 1. the development of a universal asymptotic method of deriving NEEs for guide propagation; 2. applications to the cases of stratified liquids, gases, solids and plasmas with various nonlinearities and dispersion laws; 3. connections between the basic problem and soliton-like solutions of the corresponding NEEs; 4. discussion of details of simple solutions in higher order nonsingular perturbation theory.

Table of Contents:
1. Introduction.- 1.1 General Remarks.- 1.2 Overview.- 2. The Discrimination and Interaction of Hydrodynamical Waves of Different Types.- 2.1 Hydrodynamic Wave Equations in a Three-Dimensional Stratified Medium.- 2.1.1 Fundamentals.- 2.1.2 Atmospheric Waves: Dispersion and Polarization.- 2.2 Projection Operators on Subspaces of Waves.- 2.2.1 Determination of Wave Type.- 2.2.2 Projection Operators in Geophysical Hydrodynamics.- 2.2.3 Projection Operators for Poincare and Rossby Waves.- 2.3 Interaction of Surface Poincare and Rossby Waves.- 2.4 Long Atmospheric Internal Waves.- 2.4.1 Internal Waves in an Atmospheric Waveguide.- 2.5 The Method of Successive Approximations.Solution for the Cauchy Problem of the Coupled Korteweg-de Vries Equations.- 2.6 The Coupled KdV Equations.- 2.6.1 Quasisolitons of CKdV.- 2.6.2 The Symmetry and Integrability of CKdV.- 2.6.3 The Stationary Solutions of CKdV.- 2.7 Nonlinear Rossby Waves on a Sphere.- 3. Interaction of Modes in an Electromagnetic Field Waveguide.- 3.1 Electromagnetic Fields in Dielectric Waveguides.- 3.1.1 Basic Equations and Boundary Conditions.- 3.1.2 Waveguide Modes.- 3.2 Equations of Mode Interaction.- 3.3 Three-Wave Interaction of Magnetic Modes in an Extended System of Nuclear Spins.- 3.4 Nonlinear Mode Dispersion in Dielectric Waveguides.- 4. Nonlinear Waves in Stratified Plasma.- 4.1 Wave Modes in Stratified Plasma.- 4.1.1 Description of Plasma Waves.- 4.1.2 Weakly Inhomogeneous Bounded Plasma.- 4.2 Interaction of Plasma Waves.- 4.2.1 Langmuir and Ion Wave Interactions.- 4.2.2 Three-Wave Helico-Acoustic Interaction.- 4.3 Statistical Averaging and Weak Turbulence in Plasma.- 4.3.1 Spectral Densities of Electromagnetic Field Fluctuations.- 4.3.2 One-Dimensional Turbulence.- 4.4 Multisoliton Solutions of Discrete Silin-Tikhonchuk Equations.- 4.4.1 The Darboux-Matveev Transformation.- 5. Evolution Equations for Internal Waves in Media with Strongly Inhomogeneous Stratification.- 5.1 Waves in a Medium with Varying Stratification.- 5.2 Analogues of the KdV and KP Equations with Nonlocal Dispersion.- 5.3 Quasi-Waveguide Propagation of Internal Waves in the Atmosphere.- 5.4 Waves in Gases Inhomogeneous in Knudsen Number.- 6. Mean Field Generation by Waves in a Dissipative Medium.- 6.1 Description of a Wave-Medium System by the Scales of Motion.- 6.2 Thermoactivity and Diffusion in the Presence of Waves.- 6.3 Reaction of Ionosphere Plasma to a Passing Internal Wave ....- 6.4 Interaction of Internal Waves with a Dissipative Medium.- 6.4.1 Temperature Field Instability Induced by an Internal Wave.- 6.4.2 Nonsingular Perturbation Theory.- 6.5 Mean Field Generation in a Dissipative Medium and Fine Structure of the Oceanic Thermoclyne.- Appendix 1 Atmospheric Waves over a Rotating Planet.- Appendix 2 Nonlinear Terms for Interacting Modes of Poincare and Rossby Waves at a Rotating Channel Surface.- Appendix 3 Projection to the Eigen Subspaces for Acoustic and Internal Waves.- Appendix 4 Basis Vectors, Interaction Operator for Atomic Nuclei with Spin 1.- Appendix 5 Nonlinear Internal Waves and Shear Flow Interaction Constants.- References.


Best Sellers


Product Details
  • ISBN-13: 9783540521495
  • Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Publisher Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Height: 235 mm
  • No of Pages: 163
  • Returnable: N
  • Sub Title: with Stratification
  • ISBN-10: 3540521496
  • Publisher Date: 29 May 1991
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Series Title: Research Reports in Physics
  • Width: 155 mm


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Nonlinear Waves in Waveguides: with Stratification(Research Reports in Physics)
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG -
Nonlinear Waves in Waveguides: with Stratification(Research Reports in Physics)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Nonlinear Waves in Waveguides: with Stratification(Research Reports in Physics)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals

    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!