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Home > Art, Film & Photography > Integral Equations: Electric Field Integral Equation, Ornstein-Zernike Equation, Fredholm Integral Equation, Volterra Integral Equation
Integral Equations: Electric Field Integral Equation, Ornstein-Zernike Equation, Fredholm Integral Equation, Volterra Integral Equation

Integral Equations: Electric Field Integral Equation, Ornstein-Zernike Equation, Fredholm Integral Equation, Volterra Integral Equation


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Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Electric Field Integral Equation, Ornstein-zernike Equation, Fredholm Integral Equation, Volterra Integral Equation, Nystrm Method, Marchenko Equation. Excerpt: The electric field integral equation is a relationship that allows one to calculate the electric field intensity E generated by an electric current distribution J . We consider all quantities in the frequency domain, and so assume a time-dependency that is suppressed throughout. Begin with the Maxwell equations relating the electric and magnetic field an assume linear, homogeneous media with permeability and permittivity and, respectively: Following the third equation involving the divergence of H by vector calculus we can write any divergenceless vector as the curl of another vector, hence where A is called the magnetic vector potential. Substituting this into the above we get and any curl-free vector can be written as the gradient of a scalar, hence where is the electric scalar potential. These relationships now allow us to write which can be rewritten by vector identity as As we have only specified the curl of A, we are free to define the divergence, and choose the following: which is called the Lorenz gauge condition. The previous expression for A now reduces to which is the vector Helmholtz equation. The solution of this equation for A is where is the three-dimensional homogeneous Green's function given by We can now write what is called the electric field integral equation (EFIE), relating the electric field E to the vector potential A We can further represent the EFIE in the dyadic form as where here is the dyadic homogeneous Green's Function given by The EFIE describes a radiated field E given a set of sources J, and as such it is the fundamental equation used in antenna a... More: http: //booksllc.net/?id=2001897


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Product Details
  • ISBN-13: 9781157327240
  • Publisher: Books LLC
  • Publisher Imprint: Books LLC
  • Height: 152 mm
  • No of Pages: 30
  • Spine Width: 2 mm
  • Weight: 59 gr
  • ISBN-10: 1157327249
  • Publisher Date: 29 May 2010
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Sub Title: Electric Field Integral Equation, Ornstein-Zernike Equation, Fredholm Integral Equation, Volterra Integral Equation
  • Width: 229 mm


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