30 September 2013 Forward and backward propagation in positive and negative index materials
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Forward and backward propagation can both be modeled in terms ofWigner distributions or alternatively in terms of spatial frequency transfer functions. We use both formalisms to show that, for non-evanescent waves, forward propagation in a negative index material is equivalent to backward propagation in a positive index medium. We consider the implications of this fact for several specific problems, including imaging 3D objects, imaging through thin phase screens, Fresnel holography, and speckle.
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Joseph W. Goodman, Joseph W. Goodman, "Forward and backward propagation in positive and negative index materials", Proc. SPIE 8833, Tribute to H. John Caulfield, 883304 (30 September 2013); doi: 10.1117/12.2025517; https://doi.org/10.1117/12.2025517

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