Photonic Crystals: Molding the Flow of Light - Second EditionSince it was first published in 1995, Photonic Crystals has remained the definitive text for both undergraduates and researchers on photonic band-gap materials and their use in controlling the propagation of light. This newly expanded and revised edition covers the latest developments in the field, providing the most up-to-date, concise, and comprehensive book available on these novel materials and their applications.
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... waves that are transverse . That is , if we have a plane wave H ( r ) = a exp ( ik · r ) , for some wave vector k , equation ( 5 ) requires that a · k = 0 . We can now focus our attention only on the other two of the Maxwell equations ...
... wave functions , we define the inner product of two vector fields F ( r ) and G ( r ) as ( F , G ) = √ d3rF * ( r ) · G ( r ) , ( 12 ) where " * " denotes complex conjugation . Note that a simple consequence of this definition is that ...
... vector x is dƒ ≈ dx⋅ Vƒ = [ dx · Vƒ + Vƒ · dx ] / 2 , in terms of the gradient Vf . This is the first - order ... wave function in regions of low potential energy , while minimizing the kinetic energy and remaining orthogonal to lower ...
... vector , S : SA Re [ E * × H ] , ( 25 ) where Re denotes the real part . This is the time - average flux of ... Wave Propagation Velocity of chapter 3.15 Magnetic vs. Electric Fields We digress here to answer a question that commonly ...
... wave function is a complex scalar field . In electrodynamics , the magnetic field is a real vector field and the complex exponential is just a mathematical convenience . 19 For a more formal discussion , see e.g. Courant and Hilbert ...