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Title of Thesis
Analysis Of High Frequency Field In Focal Region Using Maslov's
Method |
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Author(s)
Abdul Ghaffar |
Institute/University/Department
Details Department of Electronics / Quaid-i-Azam
University, Islamabad |
Session 2009 |
Subject Electronics |
Number of Pages 124 |
Keywords (Extracted from title, table of contents and
abstract of thesis)
Frequency, Inhomogeneous, Uniaxial, Dimensional, Focal, Maslovs,
Method, Krichhofs, Integral, Debye |
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Abstract Maslov's method has
been used to derive high frequency Żeld expression for difer- ent
focusing systems. Derived high frequency Żeld expression is valid
around the focal region of focusing systems. Both re°ection and
transmission based focusing geometries are considered for
discussion. Three dimensional Cassegrain and Gregorian systems are
considered reaction problems. Hyperbolic lens, hyperboliodal lens,
plano-convex lens, inhomogeneous slab and its three dimensional
version, that is Wood lens are con- sidered as transmission
problems. It is assumed that each focusing system is placed in
isotropic, homogeneous medium and observed their focused Żeld around
the focal region. Next it is consider that transmitted Żelds from
inhomogeneous slab, Wood lens and plano-convex lens are focused into
negative uniaxial crystal. The numerical results for focused Żelds
inside negative uniaxial crystal with several diferent orientations
of the optical axis in the plane of incidence are obtained.
Maslov's method is a systematic procedure for predicting the Żeld in
the caus- tic region. It combines the simplicity of ray theory and
generality of the transform method and provides remedy of
geometrical optics which fails at caustic. Geomet- rical optics Żeld
may be recovered from the high frequency Żeld expression, derived
using Maslov's method, for observation points away from the caustic.
Field patterns obtained using Malov's method are compared with those
obtained using equivalent current distribution method, Huygens
Krichhof's integral, and Debye Wolf focusing integral and
comparisons are found to be in good agreement.
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