Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures

  title={Analytic expressions for the electromagnetic mode density in finite, one-dimensional, photonic band-gap structures},
  author={Jon M. Bendickson and Michael Scalora and Jonathan P. Dowling},
  journal={Summaries of Papers Presented at the Quantum Electronics and Laser Science Conference},
Summary form only given. We derive an exact expression for the electromagnetic mode density, and hence the group velocity, for a finite N period, one-dimensional photonic band-gap structure. We begin by deriving a general formula for the mode density in terms of the complex transmission coefficient of an arbitrary index profile. Then we develop a formula that gives the N-period mode density in terms of the transmission coefficient of the unit cell. The special cases of mode-density enhancement… 

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