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This book highlights how an understanding of singular optics provides a completely different way to look at light. Whereas traditional optics focuses on the shape and structure of the non-zero portions of the wavefield, singular optics describes a wave¿s properties from its null regions. The contents cover the three main areas of the field: the study of generic features of wavefields, determination of unusual properties of vortices and wavefields that contain singularities, and practical applications of vortices and other singularities.
The first textbook on mathematical methods focusing on techniques for optical science and engineering. Ideal for upper division undergraduates and graduates. Strong emphasis is placed on connecting mathematical concepts to optical systems. Essay problems based on research publications and numerous exercises strengthen the connection between the theory and its applications.
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