Patterns of diffractive production

We discuss diffractive production in the context of two-component models. After defining the class of models that we consider and discussing their general properties, we develop integral equations for the generating functions of diffractive processes. We consider single and double diffraction and two fireball production. We investigate the behavior of the partial cross sections for n-particle production in all three cases and obtain a successful fit to recent data.     

The partonic interpretation of reggeon theory models

We review the physical content of the two simplest models of reggeon field theory: namely the eikonal and the Schwimmer models. The AGK cutting rules are used to obtain the inclusive, the inelastic and the diffractive cross sections. The system of non-linear equations for these cross sections is written down and analytic expressions for its solution are obtained. We derive the rapidity gap dependence of the differential cross sections for diffractive dissociation in the Schwimmer model and in its eikonalized extension. The results are interpreted from the partonic viewpoint of the interaction at high energies. Received: 23 June 2005, Published online: 6 October 2005     

位相光栅偏振特性的耦合波分析

基于麦克斯韦方程组和电磁场的边界连续条件，本文导出了位相光栅的严格的矢量耦合波衍射方程，指出了各级次衍射波之间存厢互耦合作用，并分析了光栅的偏振效应，得到光栅在不同偏振方式下的衍射特性，实验测试结果验证了理论分析和正确性。     

Absolute interferometric test of Fresnel zone plates

An absolute interferometric test of two-level binary Fresnel zone plates (FZPs) is presented. Five measurements with a wavefront testing interferometer are required to fully separate interferometer errors from those of the FZP. The method provides both errors, pattern errors and surface figure errors of the zone plate absolutely. The test method is suitable for zone mirrors and zone lenses. Test setups are explained, equations are derived and experimental results are presented. Further, applications of the absolute diffractive test method are described. For the estimation of the accuracy of the diffractive calibration method a comparison with the classical three-position test was carried out.     

J/\psi +{\mathrm{jet}} diffractive production in the direct photon process at HERA

We present a study of the diffractive production in direct photon processes at HERA based on the factorization theorem for lepton-induced hard diffractive scattering and the factorization formalism of the non-relativistic QCD (NRQCD) for quarkonia production. Using the diffractive gluon distribution function extracted from HERA data on diffractive deep inelastic scattering and diffractive dijet photon production, we demonstrate that this process is measurable at DESY HERA. The experimental study of this process can give valuable insight in the diffractive production mechanism and test the color-octet mechanism for heavy quarkonia production in a new environment. Received: 13 September 1999 / Revised version: 31 December 1999 / Published online: 6 April 2000     

旋转体时域有限差分法对轴对称亚波长衍射光学元件的分析

采用旋转体时域有限差分法对轴对称亚波长衍射光学元件进行严格的矢量分析.推导了旋转体时域有限差分法的基本计算公式;给出了入射波的设置方法;采用了完全匹配层吸收边界条件;改进了平面波谱传播算法,大大简化了计算过程并提高了计算速度.对多台阶微透镜和二元亚波长微透镜进行分析给出了它们焦平面的电场强度分布.数值计算结果表明,本文的算法可以准确且高效地分析轴对称亚波长衍射光学元件.     

用衍射相位元件分离并聚焦偏振光

通过相位恢复的原理,设计了在平行光的照明下单轴双折射晶体做成的衍射相位元件以实现分离并聚焦ｏ偏振光和ｅ偏振光,讨论了相位量化对结果的影响。理论计算表明：这种方法可成功地实现偏振光的分离和聚焦。     

N阶闪耀光栅衍射理论分析

首先用标量衍射理论导出一般周期物射效率的推论，然后求出了Ｎ阶二元闪耀光栅衍射效率公式；最后分别对理想情形和有误差情形进行了讨论。     

大数值孔径衍射透镜的优化设计方法

本文针对大数值孔径衍射透镜工艺制作难的问题,以菲涅耳衍射透镜为例,研究了相位匹配原理并提出了一种优化设计二元大数值孔径衍射透镜的方法。在菲涅耳衍射透镜原理的基础上,确定了优化设计多相位台阶衍射透镜的结构参数,并给出了一个设计实例,最后对结果元件的衍射效率进行了分析与讨论。     

Increasing spatial complexity toward near-resonant regimes of quadratic media

Near-resonant conditions lead to a strong interaction between saddle node and modulational instabilities in diffractive optical frequency down-conversion systems. The study of such an interaction reveals a new type of stable phase-locked mixed-mode hexagonal structure below the lasing threshold. Without this interaction, hexagonal structures do not exist. The analytical expression of the threshold associated with these structures is derived. Numerical solutions of the governing equations are in close agreement with analytical predictions.     

Design of GaN convex diffractive microlenses

In this work, convex diffractive microlenses are designed for fabrication in GaN-based material with a gray-level mask. The aspect ratios of the surface relief of plano-convex and double-convex microlenses for different numerical apertures are compared to reduce the fabrication difficulty. The results show that for the numerical aperture less than 0.6, the aspect ratio of the double-convex diffractive microlenses is around half of the plano-convex diffractive microlenses. For the numerical aperture higher than 0.6, the aspect ratio of the plano-convex diffractive microlenses is similar to the double-convex diffractive microlenses. The error of the surface relief of the microlens occurring during the fabrication process is also discussed.     

Diffractive parton distributions from the saturation model

We review diffractive deep inelastic scattering (DIS) in the light of the collinear factorization theorem. This theorem allows one to define diffractive parton distributions in the leading twist approach. Due to its selective final states, diffractive DIS offers interesting insight into the form of the diffractive parton distributions which we explore with the help of the saturation model. We find Regge-like factorization with the correct energy dependence measured at HERA. A remarkable feature of diffractive DIS is the dominance of the twist-4 contribution for small diffractive masses. We quantify this effect and make a comparison with the data. Received: 22 February 2001 / Revised version: 22 March 2001 / Published online: 3 May 2001     

Calculation of transverse effects in optical bistability using fast Fourier transform techniques

The bistable system consists of a unidirectional ring cavity containing off-resonance saturable two-level atoms. Fourier transform techniques permit an efficient solution of the free-space and medium propagation equations. Dynamic outputs showing critical slowing down and overshoot switching explicitly display the role of diffractive coupling in a bistable device.     

利用严格模式理论分析光栅透镜的衍射特性

光栅透镜因其独特的光学性能而具有广泛的应用.根据光栅透镜的线宽和间距微小渐变的特点,建立了光栅透镜的物理模型,并利用严格模式理论对其衍射特性进行分析.该方法物理概念清晰、公式简洁.对光栅透镜实现谐波分离、聚焦功能时的衍射效率与槽深关系的计算结果表明,其计算速度快、数值计算结果准确可靠.并对加工误差的影响进行了模拟计算,说明了在当前的微细加工的工艺水平条件下,能够制作出满足ICF系统要求的光栅透镜.实验上制作了尺寸为100 mm的大面积光栅透镜,其衍射效率的实验测试结果与理论计算结果一致.     

Signals of gluon recombination in deep inelastic scattering

The notion of a pomeron structure function arises in a model of electromagnetic diffractive scattering based on Regge factorization. Due to its small size we expect gluon recombination to occur significantly in the pomeron. The latest data from H1 (1999) show a evolution in qualitative accordance with the GLR-MQ equations; these are the DGLAP (Altarelli–Parisi) equations corrected for the effect of gluon recombination. Received: 9 October 2000 / Revised version: 25 July 2001 / Published online: 5 November 2001     

Generalised multiple-lateral-mode rate equation modelling of lasers with selective quantum-well intermixing for improved beam quality

A numerical model in terms of rate equations for lateral mode amplitudes for analysing static and dynamic properties of moderately broad stripe (tens of microns) laser diodes is proposed and used for modeling lasers with longitudinally or laterally intermixed passive areas. Introduction of passive diffractive regions is shown to offer some improvement of the laser beam, and the potential of further improvement of the beam by Intermixing lateral fringes along the stripe is discussed.     

Pure Diffractive Multicolor Optical Fourier Transform System Design

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Diffractive beam parameters of LP01 mode of fiber

The diffractive beam parameters of LP01 mode of fiber are analyzed in detail. Based on solving linear equations, two formulas for two kinds of mode-field radii as functions of normalized frequency are presented, and relations between angular radius of far-field divergence, beam propagation factor, and normalized frequency are given. Numerical calculation indicates that the maximal relative error is smaller than 1% within a reasonable parameter range.     

Diffractive meson production from virtual photons with odd charge-parity exchange

We calculate the cross section of diffractive charge-parity neutral meson production in virtual photon proton collision at high energies. Due to the opposite -parities of photon and meson () this process probes the -channel odderon exchange which is described here as noninteracting three–gluon exchange. Estimates for the cross section of inelastic diffractive process are presented. The total cross section of diffractive meson photoproduction is found to be 47 pb. The cross sections for the diffractive production of light mesons () in collisions are of the same order if the photon virtuality is . Received: 30 July 1997