Spectral Energy Density in a Kerr Nonlinear Blackbody

In a Kerr nonlinear blackbody, bare photons with opposite wave vectors and helicities are bound into pairs and unpaired photons are transformed into a new kind of quasiparticle, the nonpolariton. The nonpolariton system constitutes free thermal radiation in the blackbody. The present paper investigates the spectral energy density of the thermal radiation. It is found that the spectral energy density of a Kerr nonlinear blackbody is larger than that of a normal blackbody.     

Influence of a Single Frequency Electromagnetic Wave on Energy Spectrum of Nonpolariton System in a Kerr Nonlinear Blackbody

In a Kerr nonlinear blackbody, bare photons with opposite wave vectors and helieities are bound into pairs and unpaired photons are transformed into a different kind of quasiparticle, the nonpolariton. The present paper investigates the influence of a single frequency electromagnetic wave on the energy spectrum of the nonpolariton system. We find that the wave can lead to an energy shift of nonpolaritons. Moreover, we calculate the first-order energy shift on certain conditions.     

Study of Nonpolaritons in a Kerr Nonlinear Optical Resonator

We find that in a Kerr nonlinear optical resonator, the photon system possesses a new kind of quasiparticle, the nonpolariton. The existence of nonpolaritons should be testified by observing the energy density dependence of the velocity and squeezing of nonpolaritons. As we have investigated, the transition energy density of a Kerr nonlinear optical resonator is larger than that of a normal state.     

Amplitude-Squared Squeezing in a Kerr-Nonlinear Blackbody

We find that amplitude-squared squeezing of the photon field is present in a new blackbody, namely, a Kerr- nonlinear blackbody. The squeezing effect decreases as temperature T increases. The amount of the amplitude-squared squeezing in a Kerr-nonlinear blackbody is much larger than the corresponding squeezing in normal blackbody, and the degree of amplitude-squared squeezing is much larger than the amplitude squeezing for the same range of parameters in a Kerr-nonlinear blackbody.     

Modified radiation laws of a rectangular Kerr nonlinear blackbody

A Kerr nonlinear blackbody (KNB) is a new kind of blackbody in which bare photons with opposite wave vectors and helicities are bound into pairs and unpaired photons are transformed into nonpolaritons. In the present paper, we focus our investigation on the modified radiation laws, such as Planck and Stefan-Boltzmann radiation laws, of a rectangular KNB. Besides, the case of a KNB with no symmetry axes is also discussed. Finally, we make a numerical calculation of modified radiation laws of a cubic KNB under appropriate conditions, and we consider this work may lay the foundation for the experimental verification of the model of a KNB.     

Finite-size corrections to the radiation laws of a Kerr nonlinear blackbody

In a Kerr nonlinear blackbody (KNB), bare photons with opposite wave vectors and helicities are bound into pairs and unpaired photons are transformed into nonpolaritons. The nonpolariton system can constitute free thermal radiation in the blackbody. The present paper investigates the radiation of a KNB in a cavity of finite-size. For a given geometry, we obtain explicit expressions of the modified Planck and Stefan-Boltzmann blackbody radiation laws as a function of the temperature, size and shape of the cavity by using semiclassical techniques. Moreover, we discuss these corrections of a spherical KNB and the range of parameters (temperature and size of the cavity) in which these effects are accessible to experimental detection. Finally, we calculate the finite-size corrections (FSCs) under these conditions, and this work may lay the foundation for the experimental verification of a KNB.     

Spectral Hole Burning via Kerr Nonlinearity

Spectral hole burning is investigated in an optical medium in the presence of Doppler broadening and Kerr nonlinearity. The Kerr nonlinearity generates coherent hole burning in the absorption spectrum. The higher order Kerr nonlinearity enhances the typical lamb dip of the hole. Normal dispersion in the hole burning region while Steep anomalous dispersion between the two hole burning regions also enhances with higher order Kerr effect. A large phase shift creates large delay or advancement in the pulse propagation while no distortion is observed in the pulse. These results provide significant steps to improve optical memory, telecom devices, preservation of information and image quality.     

克尔型非线性薄膜波导的TE模

对于芯区为克尔型非线性介质，覆盖层和衬底为线性介质的平板波导，用Ｋｒｙｌｏｖ－Ｂｏｇｏｌｉｕｂｏｖ－Ｍｉｔｒｏｐｏｌｓｋｙ的渐近法导出了色散方程及场分布的二阶近似数学表达式，计算量大为减少且结果精确。给出了对称和非对称情况的典型实例。     

Thermodynamics of Phase Transitions of a Kerr Nonlinear Blackbody

We study the thermodynamics of phase transitions of a blackbody whose interior is filled by a Kerr nonlinear crystal. There is a transition temperature To, above which the Kerr nonlinear blackbody is in the normal thermal radiation state, and below which it is in the squeezed thermal radiation state. At To, the Gibbs free energy of the two phases is continuous but the entropy density of the two phases is discontinuous. Hence, there is a jump in the entropy density and this leads to a latent heat density. The photon system undergoes a first-order phase transition from the normal to the squeezed thermal radiation state.     

克尔型介质平板波导中的弱非线性横向电场波

对芯子为克尔型非线性介质、覆盖层和衬底为线性介质的平板波导，在弱非线性近似下，导出了这类波导横向电场波满足的色散方程和场分布，其物理意义清晰，且大大降低了数值计算的强度。     

Sudden Vanishing of Atomic Dipole-Squeezing in a Kerr Nonlinear Blackbody

The dynamics of atomic dipole momentum and atomic dipole-squeezing effect are investigated inside a Kerr nonlinear blackbody. It is found that in a Kerr nonlinear blackbody, the atomic dipole momentum and its squeezing effect are heavily dependent on the Kerr nonlinear coefficient. It is also found that below a transition temperature T _c , the dipole momentum and its squeezing effect in a Kerr nonlinear blackbody can vanish much faster with time than those in a normal blackbody. Above T _c , the Kerr nonlinear blackbody becomes a normal blackbody, and the dynamics of the atomic dipole momentum and its squeezing effect behaves as those in normal blackbody radiation. The physical origin of the sudden-vanishing phenomenon in a Kerr nonlinear blackbody is also discussed.     

Thermodynamic Properties of an Atom Inside a Kerr Nonlinear Blackbody

Thermodynamic properties of a Kerr nonlinear blackbody (KNB) are investigated. It is found that below a transition temperature T _c , the free energy of a KNB radiation is larger than that in a normal blackbody. At the transition from KNB radiation state to a normal blackbody radiation state, the photon system undergoes a first-order phase transition. The thermodynamic system of an atom interacting with a KNB radiation bath is also investigated by using a thermodynamic perturbation theory. It is found that below a transition temperature T _c , the increment of the free energy of the atom is larger than that in a normal blackbody. Above T _c , the KNB becomes a normal blackbody, and the properties in a KNB turn to be the same as those in normal blackbody radiation.     

Double Humped Grey and Black Solitons in Kerr Nonlinear Media

The existence of a new class of double humped grey and dark solitons in a Kerr nonlinear medium has been predicted in this paper. Following well known variational procedure, the dynamics of the propagating soliton has been converted to a Hamiltonian formulation. A set of ordinary differential equations is then derived, which was subsequently examined to predict the existence of double humped grey and dark solitons. Linear stability analysis, numerical appreciation and phase plane dynamics show that these solitons are stable.     

高功率固体激光近场强度功率谱密度特性分析

高功率固体激光驱动器的负载能力已经成为限制驱动器发展的瓶颈问题,负载能力研究的主要是激光束近场和光学元件的相互作用过程。采用功率谱密度(Power spectral density,PSD)方法分析了多程放大构型高功率固体激光驱动器实验输出近场强度的频谱在激光强度提升过程中的演变规律,分析了引起近场强度调制的主要因素。结果表明,高强度下,激光驱动器的输出近场存在明显的频谱特征,二维功率谱密度近似满足各向同性,近场调制主要源于小尺度自聚焦效应,PSD曲线显示获得增长的频率主要是各级空间滤波器截止频率所限定的频段。     

A Revisit to the Generalized Radiation Laws of a Kerr Nonlinear Blackbody

Based on the new development of nonextensive statistical mechanics (NSM), i.e., the so-called “optimal Lagrange multipliers” (OLM)approach, we revisit the generalized radiation laws of a Kerr nonlinear blackbody (KNB) and obtain the analytical expressions of generalized Planck radiation law and Stefan-Boltzmann law. In order to illustrate the influence of the parameter q on the two generalized radiation laws, we make a numerical calculation of the two laws under appropriate conditions. Besides, we restate our hypothesis to extend the theory of KNB to the whole Universe.     

Theorem of Levinson via the Spectral Density

We deduce Levinson’s theorem in non-relativistic quantum mechanics in one dimension as a sum rule for the spectral density constructed from asymptotic data. We assume a self-adjoint Hamiltonian which guarantees completeness; the potential needs not to be isotropic and a zero-energy resonance is automatically taken into account. Peculiarities of this one-dimension case are explained because of the “critical” character of the free case u(x) = 0, in the sense that any attractive potential forms at least a bound state. We believe this method is more general and direct than the usual one in which one proves the theorem first for single wave modes and performs analytical continuation.     

克尔介质中艾里孤子的形成及控制

利用分步傅里叶法,数值研究了艾里光束在自聚焦克尔非线性介质中的传输。结果表明,当较强的非线性作用于艾里光束时,主瓣能量在传输过程中会发生脱落形成具有周期振荡的空间孤子。随着非线性的增强,该孤子的振荡周期与半高宽都减小。调节艾里光束的入射角度时,脱落孤子的传输轨迹随之发生变化,不同于艾里光束的是,艾里孤子的传输始终保持直线传输。     

功率谱密度的数值计算方法

 采用功率谱密度PSD(Power Spectral Density)作为大尺寸光学元件表面质量的评价标准,对其定义及计算普适公式及方法进行了详细的分析推导,给出了被测样品的计算结果,并就在不同条件下计算平均PSD的方法和结果进行了分析比较和讨论。     

纳米流体的激光自混频功率谱密度研究

纳米流体运动特性和颗粒参数的测量对纳米流体换热效率的研究具有重要意义。本文将激光自混频技术应用于纳米流体测量中,给出了自混频信号功率谱密度函数的表达式并实验研究其变化规律。研究结果表明,功率谱密度展宽具有佛克脱函数的形式。激光垂直入射流动样品池时,功率谱密度得到展宽,展宽程度随着定向流速的增大或束腰半径的减小而增大。激光倾斜入射流动样品池时,功率谱密度在展宽的同时还伴随多普勒峰移,其位置随着定向流速的增大或散射矢量与定向流速之夹角的减小而迁移至高频。     

Multispectral Image Compression for Improvement of Colorimetric and Spectral Reproducibility by Nonlinear Spectral Transform

The article proposes a multispectral image compression scheme using nonlinear spectral transform for better colorimetric and spectral reproducibility. In the method, we show the reduction of colorimetric error under a defined viewing illuminant and also that spectral accuracy can be improved simultaneously using a nonlinear spectral transform called Labplus, which takes into account the nonlinearity of human color vision. Moreover, we show that the addition of diagonal matrices to Labplus can further preserve the spectral accuracy and has a generalized effect of improving the colorimetric accuracy under other viewing illuminants than the defined one. Finally, we discuss the usage of the first-order Markov model to form the analysis vectors for the higher order channels in Labplus to reduce the computational complexity. We implement a multispectral image compression system that integrates Labplus with JPEG2000 for high colorimetric and spectral reproducibility. Experimental results for a 16-band multispectral image show the effectiveness of the proposed scheme.