The correlation of intensity fluctuation of light waves on scattering from a particulate medium

Hamilton’s genius was to understand what were the true variables of mechanics (the “p − q,” conjugate coordinates, or canonical variables), and this led to Hamilton’s Mechanics which could obtain qualitative answers to a wider ranger of problems than Lagrangian Mechanics. It is explained how Hamilton’s canonical equations arise, why the Hamiltonian is the “central conception of all modern theory” (quote of Schrödinger’s), what the “p − q” variables are, and what phase space is. It is also explained how the famous conservation theorems arise (for energy, linear momentum, and angular momentum), and the connection with symmetry. The Hamilton-Jacobi Equation is derived using infinitesimal canonical transformations (ICTs), and predicts wavefronts of “common action” spreading out in (configuration) space. An analogy can be made with geometrical optics and Huygen’s Principle for the spreading out of light waves. It is shown how Hamilton’s Mechanics can lead into quantum mechanics.

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Equivalence theorem of light waves on scattering from anisotropic media

Optik ◽

10.1016/j.ijleo.2020.164300 ◽

2020 ◽

Vol 206 ◽

pp. 164300

Author(s):

Xiaoning Pan ◽

Ke Cheng ◽

Xiaoling Ji ◽

Tao Wang

Keyword(s):

Anisotropic Media ◽

Equivalence Theorem ◽

Light Waves

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Computer-Generated Hologram Based on Reference Light Multiplexing for Holographic Display

Applied Sciences ◽

10.3390/app11167199 ◽

2021 ◽

Vol 11 (16) ◽

pp. 7199

Author(s):

Dapu Pi ◽

Juan Liu

Keyword(s):

Image Quality ◽

Numerical Simulations ◽

Light Wave ◽

Information Capacity ◽

Improve Image Quality ◽

Multiple Images ◽

Holographic Display ◽

Light Waves ◽

Computer Generated Holograms ◽

Holographic Displays

In this article, we propose a reference light wave multiplexing scheme to increase the information capacity of computer-generated holograms. The holograms were generated by different reference light waves and superimposed together as a multiplexed hologram. A modified Gerchberg–Saxton algorithm was used to improve image quality, and different images could be reconstructed when the multiplexed hologram was illuminated by corresponding reference light waves. We performed both numerical simulations and optical experiments to demonstrate the feasibility of the proposed scheme. Numerical simulations showed that the proposed method could reconstruct multiple images successfully by a single multiplexed hologram and optical experiments are consistently good with numerical simulations. It is expected that the proposed method has great potential to be widely applied in holographic displays in the future.

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