Simultaneous optical wavelength interchange with a two-dimensional second-order nonlinear photonic crystal

We present a theoretical analysis for simultaneous optical wavelength interchange and isolation of a pair of collinear input optical signals by use of two concurrent difference-frequency-generation processes in a two-dimensional second-order nonlinear photonic crystal. We have derived a set of relations, including a general nonlinear Bragg condition, that we use to determine the parameters of the nonlinear lattice, given the input wavelengths and desired exit angles of the wavelength-interchanged outputs.     

Numerical simulation of nonlinear properties of fullerene-containing one-dimensional photonic crystal

A model of interaction between a one-dimensional photonic crystal (PC) containing a defect (nonlinear optical layer of C₆₀ fullerene) and radiation with a wavelength ??₀= 1064 nm under steady-state conditions has been considered. This structure is a Fabry-Perot microcavity: a fullerene layer (with a thickness multiple of ??₀/2) is placed between the interference mirrors formed by alternating layers ??₀/4 thick. The PC under consideration (1) has a narrow transmission band in the vicinity of ??₀ against the background of a relatively wide 100%-reflection band (photonic band gap) in the linear mode and (2) provides multiple amplification of the radiation intensity in the intermediate layer with respect to the external radiation intensity. Since C₆₀ fullerene exhibits a significant optical Kerr nonlinearity, the optical thickness of the intermediate layer under irradiation deviates from the value multiple of ??₀/2; as a result, 100% transmission for ??₀ changes to almost 100% reflection at a certain radiation intensity. Thus, this structure behaves as a peculiar optical limiter.     

Band structure and reflectance for a nonlinear one-dimensional photonic crystal

We consider a model for a one-dimensional photonic crystal formed by a succession of nonlinear Kerr-type equidistant spaceless interfaces immersed in a linear medium. We calculate analytically the band structure of this system as a function of the incident wave intensity, and find two main tendencies: the appearance of prohibited bands, and the separation and narrowing of these bands. We consider as well a finite version of this photonic crystal for a limited number of alternating linear and non linear set of stacks for which we calculate reflectance as a function of the electromagnetic wave intensity, band index and number of periods. A system with these features can be constructed by alternating very thin slabs of a nonlinear soft matter material with thicker solid films, which can be used to design a device to control light propagation for specific wavelength intervals and light intensities of the same propagating signal.     

Decay distribution of spontaneous emission from atoms in one-dimensional photonic crystal

Spontaneous emission behavior from atoms (or molecules) in one-dimensional photonic crystal with a defect is investigated. Taken all the TE and TM modes into account, the normalized spontaneous emission rate of the atom is calculated as a function of the position of the atom in the crystal. Results for both nonabsorbing dielectric structure and absorbing dielectric structure are presented. With the increase of the thickness of the defect in which the atoms are embedded, the oscillations of the spontaneous emission rate versus the position of the atom become dense and the lifetime distribution becomes narrow and sharp. The PC effect may lead to the coexistence of both accelerated and inhibited decay processes.     

无规结构全角高反一维光子晶体的场强分布

因一维光子晶体的许多应用由其场强分布特性所决定，本文研究了无规全角高反一维光子晶体场强分布的性质，结果表明在带隙内,两者的场强分布无明显差别,但在研究各种应用和器件关系最密切的带隙边缘, 周期结构的场强分布只有对称性的一种；无规结构光子晶体的谱带边缘电场分布特性则完全可按应用要求进行设计和控制，为光子晶体器件设计提供了全新的思路. 关键词： 光子晶体 无规结构 光子能隙 全角高反 场强分布     

1维光子晶体缺陷模

利用光学传输矩阵理论对掺杂1维光子晶体的缺陷模进行了研究。计算和分析了缺陷层折射率、缺陷层厚度与缺陷峰的关系。得出结论：随着缺陷层厚度的增大,缺陷峰波长呈线性增加,但是当缺陷层厚度增加到一定值时,缺陷峰的个数也将不断增加;缺陷层折射率也与缺陷峰波长有线性正比关系。从而提出了一种在微波领域测量介质折射率和介电常数的有效方法。     

Optical interaction between one-dimensional fiber photonic crystal microcavity and gold nanorod

Localized surface plasmon resonance(LSPR) has demonstrated its promising capability for biochemical sensing and surface-enhanced spectroscopy applications. However, harnessing LSPR for remote sensing and spectroscopy applications remains a challenge due to the difficulty in realizing a configuration compatible with the current optical communication system. Here, we propose and theoretically investigate a hybrid plasmonic-photonic device comprised of a single gold nanorod and an optical fiber-based one-dimensional photonic crystal microcavity, which can be integrated with the optical communication system without insertion loss. The line width of the LSPR, as a crucial indicator that determines the performances for various applications, is narrowed by the cavity-plasmon coupling in our device. Our device provides a promising alternative to exploit the LSPR for high-performance remote sensing and spectroscopy applications.     

1维光子晶体缺陷模

 利用光学传输矩阵理论对掺杂1维光子晶体的缺陷模进行了研究。计算和分析了缺陷层折射率、缺陷层厚度与缺陷峰的关系。得出结论：随着缺陷层厚度的增大,缺陷峰波长呈线性增加,但是当缺陷层厚度增加到一定值时,缺陷峰的个数也将不断增加;缺陷层折射率也与缺陷峰波长有线性正比关系。从而提出了一种在微波领域测量介质折射率和介电常数的有效方法。     

Localization of the femtosecond pulse train energy in a one-dimensional nonlinear photonic crystal

Computer simulation demonstrates the feasibility of pumping a one-dimensional nonlinear photonic crystal (layered one-dimensional periodic structure) by optical energy localizing in the crystal when it is irradiated by a femtosecond pulse train. Simulation is based of the recently suggested approach to similar problems. It is shown that the pumping effect can be employed in 3D optical storages.     

Unusual transmission through usual one-dimensional photonic crystal in the presence of evanescent wave

Basing on the condition that the incident angle is larger than the total internal reflection angle, we present a systematic study of transmission properties of one-dimensional photonic crystal with all dielectric materials by the transfer matrix method and the Bloch’s theorem. Due to the existence of the evanescent field within the structure, the transmission bands consist of some discrete symmetry peaks. For light with these peak frequencies, the structure is either transparent or opaque depending on the number of the structure periods. The unusual transmission properties are attributed to the field distribution and Bloch wave vector.     

Abnormal behaviour of one-dimensional photonic crystal with defect

The effect of introduction a defect in a conventional one-dimensional photonic band gap (PBG) structure in respect of the dispersion relation, reflectivity, group velocity and effective group index of such a structure has been studied. In particular, the dependence of various properties of such a structure on the angle of incidence of the electromagnetic waves has been given more importance in the present study. The study shows that inside the conventional PBG structure as well as defect PBG structure, the group velocity and effective group index become negative for certain ranges of normalized frequency. In a defect PBG structure, it is possible to achieve desired values (negative or positive) of group velocity and effective group index by choosing appropriate angle of incidence, whereas in conventional PBG structures, the maximum (negative and positive) values of group velocities and effective group index are found to be almost independent of the angle of incidence. This is a unique property of defect PBG structure which is different from the properties of conventional PBG structures. Because of this unique property, defect PBG structure may be widely used for construction super lenses, lasing without inversion and other optical systems in photonics.     

Anderson localization and nonlinearity in one-dimensional disordered photonic lattices

We experimentally investigate the evolution of linear and nonlinear waves in a realization of the Anderson model using disordered one-dimensional waveguide lattices. Two types of localized eigenmodes, flat-phased and staggered, are directly measured. Nonlinear perturbations enhance localization in one type and induce delocalization in the other. In a complementary approach, we study the evolution on short time scales of delta-like wave packets in the presence of disorder. A transition from ballistic wave packet expansion to exponential (Anderson) localization is observed. We also find an intermediate regime in which the ballistic and localized components coexist while diffusive dynamics is absent. Evidence is found for a faster transition into localization under nonlinear conditions.     

Wave propagation in a one-dimensional photonic crystal with metamaterial

This paper deals with the study of the transmission of electromagnetic waves through a one-dimensional multilayer periodic structure consisting of alternating slabs of negative- and positive-index media. It also focuses on the behavior of the transmission with the angle of incidence for both polarizations. The proposed structure works as a tunable p-polarization filter i.e. a filter which completely blocks the s-polarized wave but partially allows the p-polarized wave to pass through it for an angle of incidence greater than 20 ^°. For angles of incidence less than 50 ^° the structure works as a tunable edge filter.     

一维反铁磁光子晶体光学双稳态效应研究

基于传递矩阵方法和光局域化原理, 本文研究了一维反铁磁光子晶体共振频率附近光学双稳态效应随电磁波入射角、 外磁场强度及电介质层数的变化.研究发现, 当外磁场为1.0 kG(1 G=10^-4 T)、电磁波小角度入射时, 反铁磁材料高低共振频率附近均可探测到光学双稳态效应; 当电磁波大角度入射时, 仅在高共振频率附近探测到光学双稳态效应. 然而, 当外磁场强度增加到2.0 kG时, 由于反铁磁材料的高低共振频率向两侧移动, 低共振频率附近缺失的光学双稳态频率窗口又被有效激发. 此外, 电磁波小角度入射时, 电介质层数在低共振频率附近对双稳态效应影响较明显.     

Cavity modes in one-dimensional photonic crystal slabs

A theoretical study of cavity modes in one-dimensional photonic crystal slabs embedded in Silicon-on-Insulator structures is reported. Three different methods are employed, namely a guided-mode expansion in which the coupling to radiative modes is treated by perturbation theory, a grating or scattering-matrix method for calculating the surface reflectance, and a Fourier modal expansion for in-plane transmission calculations. It is shown that all methods lead to the same values for the quality factors of cavity modes for both first- and second-order Bragg mirrors. We conclude that the quality factor of a cavity mode can be determined with optical reflectance from the surface of the slab.     

Splitting of defect-mode in one-dimensional magnetic photonic crystal

Using the 4×4 transfer matrix method, we investigate the splitting of defect-modes in one-dimensional magnetic photonic crystal. Numerical results exhibit defect-mode splitting in the presence of external magnetic fields. The splitting condition has been examined. The results show that defect-mode splitting critically depends on the magneto-optical gyrotropy factor and number of layers. We predict theoretically that magnetic photonic crystal consisting of gyrotropic material can be used as a tunable filter.     

一维多缺陷光子晶体的缺陷模

设计了一个多缺陷的一维光子晶体,并利用传输理论研究其透射谱.利用泰勒展式的一级近似,得到了缺陷模频率的解析表达式,进而得到紧束缚理论中的耦合因子.这些结论与实验结果或数值模拟相符合,可以很好地描述缺陷模的有关规律,对多通道滤波器的设计具有指导意义. 关键词： 光子晶体 缺陷模 紧束缚方法 耦合因子