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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... function (or, equivalently, a periodic index of refraction). If the dielectric constants of the materials in the crystal are sufficiently different, and if the absorption of light by the materials is minimal, then the refractions and ...
... function of the ( cartesian ) position vector r , in which the structure does not vary with time , and there are no free charges or currents . This composite need not be periodic , as illustrated in figure 1. With this type of medium in ...
... functions of both time and space . Because the Maxwell equations are linear , however , we can separate the time dependence from the spatial dependence by expanding the fields into a set of harmonic modes . In this and the following ...
... function is just the function itself , multiplied by some constant , then the function is called an eigenfunction or eigenvector of that operator , and the multiplicative constant is called the eigenvalue . In this case , we identify ...
... functions , we define the inner product of two vector fields F ( r ) and G ( r ) as ( F , G ) = √ d3rF * ( r ) · G ( r ) ... function is operated upon before taking the inner product . Clearly , not all operators are Hermitian . To show 8 ...