There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

Orbital angular momentum (OAM), which describes the “phase twist” (helical phase pattern) of light beams, has recently gained interest due to its potential applications in many diverse areas. Particularly promising is the use of OAM for optical communications since: (i) coaxially propagating OAM beams with different azimuthal OAM states are mutually orthogonal, (ii) inter-beam crosstalk can be minimized, and (iii) the beams can be efficiently multiplexed and demultiplexed. As a result, multiple OAM states could be used as different carriers for multiplexing and transmitting multiple data streams, thereby potentially increasing the system capacity. In this paper, we review recent progress in OAM beam generation/detection, multiplexing/demultiplexing, and its potential applications in different scenarios including free-space optical communications, fiber-optic communications, and RF communications. Technical challenges and perspectives of OAM beams are also discussed.

Optical communications using orbital angular momentum beams

It is shown that the ordinary semiclassical theory of the absorption of light by exciton states is not completely satisfactory (in contrast to the case of absorption due to interband transitions). A more complete theory is developed. It is shown that excitons are approximate bosons, and, in interaction with the electromagnetic field, the exciton field plays the role of the classical polarization field. The eigenstates of the system of crystal and radiation field are mixtures of photons and excitons. The ordinary one-quantum optical lifetime of an excitation is infinite. Absorption occurs only when "three-body" processes are introduced. The theory includes "local field" effects, leading to the Lorentz local field correction when it is applicable. A Smakula equation for the oscillator strength in terms of the integrated absorption constant is derived.

a Quantum-Mechanical Theory of the Contribution of Excitons to the Complex Dielectric Constant of Crystals.

Optical Waveguide Theory

Driven by the increasing demand on handing microwave signals with compact device, low power consumption, high efficiency and high reliability, it is highly desired to generate, distribute, and process microwave signals using photonic integrated circuits. Silicon photonics offers a promising platform facilitating ultracompact microwave photonic signal processing assisted by silicon nanophotonic devices. In this paper, we propose, theoretically analyze and experimentally demonstrate a simple scheme to realize ultracompact rejection ratio tunable notch microwave photonic filter (MPF) based on a silicon photonic crystal (PhC) nanocavity with fixed extinction ratio. Using a conventional modulation scheme with only a single phase modulator (PM), the rejection ratio of the presented MPF can be tuned from about 10 dB to beyond 60 dB. Moreover, the central frequency tunable operation in the high rejection ratio region is also demonstrated in the experiment.

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Photonic crystal nanocavity assisted rejection ratio tunable notch microwave photonic filter

In this article, a long period fiber grating (LPFG) based on femtosecond laser irradiation is proposed to generate the third order Orbital Angular Momentum (OAM) mode. With the advantage of lower heat absorption efficiency, lower power and small focused spot size，this method is more reliable ,repeatable and promising compared with the traditional method based on carbon dioxide laser. The experiments results demonstrated that the fundamental mode can be converted to the linear polarization mode LP31 mode even OAM±3 modes with 98% mode conversion efficiency near 1550nm. The proposed method has the potential to generate higher order mode.

Generation of all-fiber third-order orbital angular momentum modes based on femtosecond laser irradiation

We propose and experimentally demonstrate a real-time broadband radio frequency (RF) spectrum analyzer. It achieves 800-GHz bandwidth, as well as 94-MHz frame rate, without sacrificing the resolution (1.25 GHz). It is capable of observing the multi-frequency at a single frame.

A real-time broadband radio frequency spectrum analyzer based on time-lens

We propose a new method for increasing the bandwidth of the Ge photodetector using wire bonding technology. Simulation and experimental results show that the bandwidth can be extended from less than 30GHz to over 60GHz.

60 GHz Germanium Photodetector Using Wire Bonding Technology

Surface plasmon polaritons have attracted varies of interests due to its special properties, especially in the polarization-controlled devices. Typically, the polarization-controlled devices include directional coupling, focusing lens and plasmonic vortex lens, and almost all of them are controlled by the input circularly polarized light or the linearly polarized light. We present a novel device that realize the functions of directional coupling and focusing with high polarization extinction ratio for arbitrary spin of input light. This device offers opportunities for polarization sensing, polarization splitting and polarization-multiplexed near-field images and surface plasmon holography in the future.

Directional coupling and focusing surface plasmon polaritons controlled by arbitrary spin of light

Controlling the directionality of surface plasmon polaritons (SPPs) has been widely studied, while the direction of SPPs was always switched by orthogonal polarizations in the reported methods. Here, we present a scheme to control the directionality of SPPs by arbitrary spin polarizations. Extremely, the device can split two quite adjacent polarization components to two opposite directions. The versatility of the presented design scheme can offer opportunities for polarization sensing, polarization splitting and polarization-controlled plasmonic devices.

Xinliang Zhang

Papers

Generation of all-fiber third-order orbital angular momentum modes based on femtosecond laser irradiation

A real-time broadband radio frequency spectrum analyzer based on time-lens

60 GHz Germanium Photodetector Using Wire Bonding Technology

Directional coupling and focusing surface plasmon polaritons controlled by arbitrary spin of light

Arbitrary spin-controlled directional coupling of surface plasmon polaritons