Optics

Download Phase-Space Optics: Fundamentals and Applications by Markus Testorf;Bryan Hennelly;Jorge Ojeda-Castaneda PDF

By Markus Testorf;Bryan Hennelly;Jorge Ojeda-Castaneda

A accomplished move element of phase-space optics

This definitive quantity highlights a chic, unified method of optical rays, waves, and process layout utilizing state of the art phase-space strategies. Phase-Space Optics: basics and Applications info theoretical suggestions of part house in addition to novel engineering purposes in particular disciplines. This authoritative consultant contains complete insurance of sampling, superresolution imaging, and the phase-space interpretation of ultrafast optics. paintings with Wigner optics, learn phase-space equations, strengthen wave propagation types, and achieve a brand new knowing of optical resources and platforms. observe how to:

  • Describe optical phenomena utilizing Wigner and ambiguity capabilities
  • practice phase-space rotations utilizing ray transformation matrices
  • effect the trade-off among student dimension and intensity of box
  • study and layout optical signs utilizing the Radon-Wigner rework
  • Accomplish superresolution through squeezing section area
  • Interpret the intimate dating among radiometry and coherence
  • Use simple algebra to find self-imaging, Fresnel diffraction, and the Talbot impact
  • advance discrete types, sampling standards, and interpolation formulae
  • paintings with ultrafast tactics and intricate space-time buildings

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Sample text

For z(t) = ␦(t), the bilinear representation P f (x, u; w, z) = |S f (x, u; w)|2 is known as the spectrogram: the squared modulus of the windowed Fourier transform. 87). 5 Spectrogram of a sinusoidal FM signal exp{i[2␲u0 x + a 1 sin(2␲u1 x)]} with (a ) a medium-sized window, leading to a space-frequency representation with smearing, and (b) a long window, leading to a pure frequency representation. the spectrogram. Although the spectrogram is a quadratic signal representation |S f (x, u; w)|2 , the squaring is introduced only in the final step and therefore does not lead to undesirable cross-terms that are present in other bilinear signal representations.

A. , “Lens-system diffraction integral written in terms of matrix optics,” J. Opt. Soc. Am. 60, 1168–1177 (1970). 61. M. Moshinsky and C. Quesne, “Linear canonical transformations and their unitary representations,” J. Math. Phys. 12, 1772–1780 (1971). 62. T. Alieva and M. J. Bastiaans, “Alternative representation of the linear canonical integral transform,” Opt. Lett. 30, 3302–3304 (2005). 63. O. Bryngdahl, “Geometrical transformations in optics,” J. Opt. Soc. Am. 64, 1092–1099 (1974). 64. -Z.

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