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Table Of Integrals Series And Products

The concept of parity-time symmetric systems is rooted in non-Hermitian quantum mechanics where complex potentials obeying this symmetry could exhibit real spectra. The concept has applications in many fields of physics, e.g., in optics, metamaterials, acoustics, Bose-Einstein condensation, electronic circuitry, etc. The inclusion of nonlinearity has led to a number of new phenomena for which no counterparts exist in traditional dissipative systems. Several examples of nonlinear parity-time symmetric systems in different physical disciplines are presented and their implications discussed.

Nonlinear waves in PT -symmetric systems

Over the years extensive studies have been carried out to apply coherent optics methods in real-time communications and image transmission. This is especially true when a large amount of information needs to be processed, e.g., in high-resolution imaging. The recent progress in data-processing networks and communication systems has considerably increased the capacity of information exchange. However, the transmitted data can be intercepted by nonauthorized people. This explains why considerable effort is being devoted at the current time to data encryption and secure transmission. In addition, only a small part of the overall information is really useful for many applications. Consequently, applications can tolerate information compression that requires important processing when the transmission bit rate is taken into account. To enable efficient and secure information exchange, it is often necessary to reduce the amount of transmitted information. In this context, much work has been undertaken using the principle of coherent optics filtering for selecting relevant information and encrypting it. Compression and encryption operations are often carried out separately, although they are strongly related and can influence each other. Optical processing methodologies, based on filtering, are described that are applicable to transmission and/or data storage. Finally, the advantages and limitations of a set of optical compression and encryption methods are discussed.

https://hal.archives-ouvertes.fr/docs/00/51/69/80/PDF/20.pdf

Optical image compression and encryption methods

Several attacks are proposed against the double random phase encryption scheme. These attacks are demonstrated on computer-generated ciphered images. The scheme is shown to be resistant against brute force attacks but susceptible to chosen and known plaintext attacks. In particular, we describe a technique to recover the exact keys with only two known plain images. We compare this technique to other attacks proposed in the literature.

Resistance of the double random phase encryption against various attacks

Information security with optical means, such as double random phase encoding, has been investigated by various researchers. It has been demonstrated that optical technology possesses several unique characteristics for securing information compared with its electronic counterpart, such as many degrees of freedom. In this paper, we present a review of optical technologies for information security. Optical security systems are reviewed, and theoretical principles and implementation examples are presented to illustrate each optical security system. In addition, advantages and potential weaknesses of each optical security system are analyzed and discussed. It is expected that this review not only will provide a clear picture about current developments in optical security systems but also may shed some light on future developments.

Advances in optical security systems

Carbon nanotubes (CNTs) have shown growing potential applications in the fields of biotechnology and biomedicine because of their unique structure and properties. The hollow channels can be used to deliver drug molecules. However, the transport properties of small molecules through the CNT hollow channels are not yet clear. In this study, we will investigate the transport properties of small polar molecules in the ultrashort CNTs embedded in the lipid bilayer using molecular dynamics simulations. By varying the diameter of the CNTs, we find that only water molecules can enter the (6, 6) CNT. Furthermore, the (7, 7) tube exhibits selectivity between dimethyl sulfoxide (DMSO) and urea, whereas both DMSO and water or urea and water can flow in the (8, 8) CNT. Potential of mean force (PMF) calculations confirm that DMSO in the (7, 7) CNT possesses a lower free energy compared with urea. Because of the strong dipolar interaction, DMSO molecules form a single-file chain in (7, 7) CNT, but they are not well orde...

Selective Transport through the Ultrashort Carbon Nanotubes Embedded in Lipid Bilayers

An analytical expression for a Lorentz-Gauss vortex beam passing through a fractional Fourier transform (FRFT) system is derived. The influences of the order of the FRFT and the topological charge on the normalized intensity distribution, the phase distribution, and the orbital angular momentum density of a Lorentz-Gauss vortex beam in the FRFT plane are examined. The order of the FRFT controls the beam spot size, the orientation of the beam spot, the spiral direction of the phase distribution, the spatial orientation of the two peaks in the orbital angular momentum density distribution, and the magnitude of the orbital angular momentum density. The increase of the topological charge not only results in the dark-hollow region becoming large, but also brings about detail changes in the beam profile. The spatial orientation of the two peaks in the orbital angular momentum density distribution and the phase distribution also depend on the topological charge.

Fractional Fourier transform of Lorentz-Gauss vortex beams

Carbon nanotubes (CNTs) have been regarded as one of the most hopeful candidates for transporting drugs to target cells because of their huge surface area, hollow structure, and enhanced cellular u...

Xiaogang Wang

Papers

Selective Transport through the Ultrashort Carbon Nanotubes Embedded in Lipid Bilayers

Fractional Fourier transform of Lorentz-Gauss vortex beams

Encapsulation and Release of Drug Molecule Pregabalin Based on Ultrashort Single-Walled Carbon Nanotubes

Optical image encryption via reverse engineering of a modified amplitude-phase retrieval-based attack

Optical image encryption and authentication using phase-only computer-generated hologram