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Spontaneous emission in multilayer microcavities: modal theory extended with Fourier-Green analysis for dissipative structures 多层微腔中的自发发射:耗散结构的傅里叶-格林分析扩展的模态理论
Pub Date : 1998-05-01 DOI: 10.1088/0963-9659/7/3/015
H. Rigneault, S. Maure, C. Amra
Two rigorous theories are presented and compared to describe the interaction with the electromagnetic field of localized sources confined within microcavities. Both the light which can escape the structure and the embedded radiation are taken into account by these formalisms. The modal theory describes the field in terms of modal functions and is limited to lossless structures. On the other hand, the Green approach can naturally cope with lossy cavities and considers the coupling of the sources with a continuum of waves with spatial frequencies ranging from zero to infinity. The two theories are compared and the consequences of losses are investigated in the case of a current source located in the spacer of a resonant multilayer structure. It is shown that the modal theory gives correct predictions when the imaginary part of the refractive index is as large as , whereas the Green approach becomes necessary to describe the emission in lossy structures. In this last case, we show that the spontaneous emission factor is not strongly affected by losses, although the emitted power is decreased due to absorption.
提出并比较了两种严格的理论来描述微腔内局域源与电磁场的相互作用。这些形式既考虑了从结构中逸出的光,也考虑了嵌入的辐射。模态理论用模态函数来描述场,并且仅限于无损结构。另一方面,Green方法可以自然地处理有耗空腔,并考虑与空间频率范围从零到无限的连续波的源的耦合。比较了这两种理论,并研究了电流源位于谐振多层结构的间隔层中的情况下损耗的后果。结果表明,当折射率的虚部为时,模态理论给出了正确的预测,而在有耗结构中,格林方法是描述发射的必要方法。在最后一种情况下,我们表明自发发射因子不受损耗的强烈影响,尽管发射功率由于吸收而降低。
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引用次数: 5
Focusing of two-dimensional electromagnetic waves through a plane interface 二维电磁波通过平面界面的聚焦
Pub Date : 1998-05-01 DOI: 10.1088/0963-9659/7/3/018
J. Stamnes, D. Jiang
We study the focusing of two-dimensional (2D) electromagnetic waves through a plane interface. Starting from the exact solution for the transmitted field due to an arbitrary three-dimensional (3D) incident wave, we derive solutions for focused 3D waves in the Kirchhoff approximation. Then we construct corresponding solutions for focused 2D electromagnetic waves and study in detail the focusing properties of a TM field numerically and analytically.
我们研究了二维电磁波通过平面界面的聚焦。从任意三维入射波透射场的精确解出发,导出了聚焦三维波在基尔霍夫近似下的解。在此基础上,对二维电磁波的聚焦问题进行了求解,并对TM场的聚焦特性进行了数值解析研究。
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引用次数: 17
Aspherical wavefront measurements: Shack-Hartmann numerical and practical experiments 非球面波前测量:Shack-Hartmann数值与实际实验
Pub Date : 1998-05-01 DOI: 10.1088/0963-9659/7/3/005
G. Artzner
We consider an application of the original Hartmann method to bundles of rays generated by a Shack-Hartmann analyser. Absolute Shack-Hartmann measurements of converging wavefronts with the nominal method of collimating optics, used to locate the real image of a pupil on a microlens array, are not applicable when the wavefront asphericity is so strong that real subimages produced by individual lenslets of the array are no longer simultaneously focused at a common plane. As examples of strongly aspherical wavefronts we consider reflected beams obtained when testing large aspherical mirrors at their centre of curvature. Analytic formulae are applied to several instances and a ray-tracing program for a large-diameter strongly paraboloidal liquid mirror suggests that the Shack-Hartmann method could, however, be used by combining several cross sections of interlaced rays located downstream from the microlens array. In order to estimate how precisely subbundles of rays may be reconstructed from several cross sections we performed a small-scale experiment to measure an aspherical wavefront departing by more than from a best-fit sphere. A microlens array samples 2000 subareas per pupil. Eleven cross sections, corresponding to as many real and virtual subbundles of rays, are obtained upstream and downstream from an array using a relay optics to give enlarged real images on photographic film. We measured 57 subbundles and verified the straight line propagation of light to within a precision on negatives corresponding to a local 45 nm wavefront uncertainty. The uncertainty value for calibration using additional cross sections upstream and downstream from the microlens array amounts to 8 nm. We conclude from these numerical and practical experiments that the Shack-Hartmann method may be modified in order to measure strongly aspherical wavefronts, including reflected wavefronts obtained from centre-of-curvature testing for large aspheric mirrors.
我们考虑将原始哈特曼方法应用于由沙克-哈特曼分析器产生的射线束。用准直光学的名义方法对会聚波前进行绝对的Shack-Hartmann测量,用于定位微透镜阵列上瞳孔的真实图像,当波前非球面非常强,以至于阵列的单个透镜产生的真实子图像不再同时聚焦在一个共同的平面上时,就不适用了。作为强非球面波前的例子,我们考虑在曲率中心测试大型非球面反射镜时获得的反射光束。本文将解析公式应用于几个实例,并对一个大直径强抛物面液体镜的光线跟踪程序进行了分析,结果表明,通过将位于微透镜阵列下游的交错光线的几个横截面组合起来,可以使用Shack-Hartmann方法。为了估计如何精确地从几个横截面重建亚束射线,我们进行了一个小规模的实验,以测量偏离最佳拟合球的非球面波前。微透镜阵列对每个瞳孔的2000个子区域进行采样。11个横截面,对应于尽可能多的真实和虚拟的子束射线,得到上游和下游的阵列使用中继光学放大真实图像在摄影胶片上。我们测量了57个子束,并验证了光的直线传播在底片上的精度,对应于局部45 nm波前不确定度。使用微透镜阵列上游和下游的额外横截面进行校准的不确定度值为8 nm。我们从这些数值和实际实验中得出结论,可以对Shack-Hartmann方法进行改进,以测量强非球面波前,包括从大型非球面反射镜的曲率中心测试中获得的反射波前。
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引用次数: 30
Some optical absorption critical points in layered ? crystals 层状介质的光学吸收临界点晶体
Pub Date : 1998-05-01 DOI: 10.1088/0963-9659/7/3/009
V. Mushinski, M. Caraman, G. Lazăr, I. Lazar
Polarized absorption and wavelength modulation spectra of a complete series of single crystals near the excitonic bands have been studied in the temperature range 80-300 K. The large dichroism of absorption was observed, which depends on the composition of the crystals and the wavelength of the radiation. A qualitative explanation is given for the observed optical absorption critical points of the layered crystals.
在80 ~ 300 K的温度范围内,研究了激子带附近一系列单晶的偏振吸收光谱和波长调制光谱。观察到吸收的大二色性,这取决于晶体的组成和辐射的波长。对所观察到的层状晶体的光学吸收临界点作了定性解释。
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引用次数: 0
Theoretical study of Talbot-like bands observed using a laser diode below threshold 用低于阈值的激光二极管观察塔尔博特带的理论研究
Pub Date : 1998-05-01 DOI: 10.1088/0963-9659/7/3/013
A. Podoleanu, S. Taplin, D. Webb, D. Jackson
We report on a theoretical study of an interferometric system in which half of a collimated beam from a broadband optical source is intercepted by a glass slide, the whole beam subsequently being incident on a diffraction grating and the resulting spectrum being viewed using a linear CCD array. Using Fourier theory, we derive the expression of the intensity distribution across the CCD array. This expression is then examined for non-cavity and cavity sources for different cases determined by the direction from which the slide is inserted into the beam and the source bandwidth. The theoretical model shows that the narrower the source linewidth, the higher the deviation of the Talbot bands' visibility (as it is dependent on the path imbalance) from the previously known triangular shape. When the source is a laser diode below threshold, the structure of the CCD signal spectrum is very complex. The number of components present simultaneously increases with the number of grating lines and decreases with the laser cavity length. The model also predicts the appearance of bands in situations not usually associated with Talbot bands.
我们报告了一种干涉测量系统的理论研究,在该系统中,来自宽带光源的准直光束的一半被玻璃载玻片拦截,整个光束随后被入射到衍射光栅上,并使用线性CCD阵列观察所得光谱。利用傅里叶理论,推导出CCD阵列上的光强分布表达式。然后根据载玻片插入光束的方向和源带宽确定不同情况下的非腔和腔源的表达式。理论模型表明,源线宽越窄,塔尔博特带的可见性(因为它依赖于路径不平衡)与先前已知的三角形形状的偏差越大。当源为低于阈值的激光二极管时,CCD信号的频谱结构非常复杂。元件数量随光栅线数的增加而增加,随激光腔长度的增加而减少。该模型还预测了通常与塔尔博特带不相关的情况下能带的出现。
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引用次数: 9
Direct sampling for diffractive microlens encoding from a rigorous point of view 从严格的角度对衍射微透镜编码进行直接采样
Pub Date : 1998-05-01 DOI: 10.1088/0963-9659/7/3/016
A. Schilling, P. Blattner, H. Herzig
Rigorous diffraction theory is applied to analyse the direct-sampling (DS) encoding method, which is based on scalar diffraction theory. For given fabrication constraints and constant sampling width of the lens function, the quantized phase profiles obtained with scalar DS are close to the optimum solutions, even for grating period to wavelength ratios as small as about 3. For smaller ratios, the phase profiles obtained by DS can be improved by up to 25%, using a straightforward rigorous steepest-gradient optimization. Applied to cylindrical lenses with NA = 0.5 and 0.63, coding with DS and with rigorously improved DS gives quite similar results for the total diffraction efficiency.
应用严格衍射理论分析了基于标量衍射理论的直接采样(DS)编码方法。对于给定的制作约束和透镜函数的恒定采样宽度,标量DS得到的量子化相位曲线接近于最佳解,即使光栅周期与波长之比小到约为3。对于较小的比例,使用直接严格的最陡梯度优化,DS获得的相剖面可以提高25%。应用于NA = 0.5和0.63的圆柱透镜,用DS编码和严格改进的DS编码得到的总衍射效率非常相似。
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引用次数: 1
UNIFORM ASYMPTOTIC DESCRIPTION OF THE BRILLOUIN PRECURSOR IN A SINGLE-RESONANCE LORENTZ MODEL DIELECTRIC 单共振洛伦兹模型电介质中布里渊前体的均匀渐近描述
Pub Date : 1998-05-01 DOI: 10.1088/0963-9659/7/3/017
J. Solhaug, K. Oughstun, J. Stamnes, P. Smith
It is well known that the dynamical evolution of the Brillouin precursor field in a single-resonance Lorentz model dielectric can be fully explained in terms of a pair of saddle points that evolve in a region of the complex -plane near the origin such that , where is the undamped resonance frequency of the dispersive medium. As time increases at a fixed propagation distance, these two near first-order saddle points first approach each other along the imaginary frequency axis, then coalesce into a second-order saddle point at the time , and finally separate from each other in the lower half-plane, one with an increasing real part and the other with a decreasing real part. The uniform asymptotic description of the Brillouin precursor provides an accurate description of the field evolution about the observation time , at which the saddle-point order changes discontinuously. However, previous approximate expressions for the phase behaviour in the region of the near saddle points have resulted in an inaccurate field evolution around . This inaccuracy is corrected in this paper. Numerical illustrations of the complete precursor evolution for the delta function pulse and the step function modulated signal are provided.
众所周知,单共振洛伦兹模型电介质中布里渊前驱场的动力学演化可以用在原点附近复平面区域内演化的一对鞍点来充分解释,其中为色散介质的无阻尼共振频率。在固定传播距离下,随着时间的增加,这两个近一阶鞍点首先沿虚频轴相互靠近,然后在同一时刻合并为一个二阶鞍点,最后在下半平面上分离,一个实部增大,另一个实部减小。布里渊前驱体的均匀渐近描述准确地描述了随观测时间的场演化,在观测时间点鞍点阶序不连续变化。然而,以前的近似表达式在鞍点附近的区域相行为导致了一个不准确的场演化。这一错误在本文中得到了纠正。给出了δ函数脉冲和阶跃函数调制信号的完整前驱演化的数值实例。
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引用次数: 12
Apodization of generalized axicons to produce uniform axial line images 普遍化的轴线,以产生均匀的轴线图像
Pub Date : 1998-05-01 DOI: 10.1088/0963-9659/7/3/014
S. Popov, A. Friberg
The effects of apodization of a generalized holographic axicon that produces a uniform axial line intensity distribution are considered. It is shown, both by simulations and experimentally, that the apodization considerably improves the image line quality within the extended focal region, especially near the image end points. A simple method of implementing the apodization by a binary-amplitude encoding of the generalized axicon is assessed in detail. Fabrication of the axicon by photoreduction and experimental results on the intensity variations of the line image, which are in substantial agreement with the theoretical considerations, are presented and analysed. On apodization the axial intensity becomes nearly uniform, while transversely the line image retains its high definition.
考虑了广义全息轴的消角效应,使轴向光强分布均匀。仿真和实验结果表明,在扩展焦点区域内,特别是在图像端点附近,apodization显著改善了图像线质量。给出了一种简单的方法,通过对广义轴的二值编码实现对轴化。提出并分析了用光还原法制备轴突的实验结果和线像强度变化的实验结果,这些结果与理论考虑基本一致。在向apoization轴向强度变得几乎均匀,而横向线图像保持其高清晰度。
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引用次数: 36
Bactericidal effects of high-power Nd:YAG laser radiation on Staphylococcus aureus 高功率Nd:YAG激光辐射对金黄色葡萄球菌的杀菌作用
Pub Date : 1998-05-01 DOI: 10.1088/0963-9659/7/3/020
C. Yeo, I. Watson, D. Stewart-Tull, A. Wardlaw, G. Armstrong
The effect of laser radiation on Staphylococcus aureus 6571 (Oxford strain) was studied with high-power Nd:YAG laser radiation between 50 and 300 W. A range of laser pulse repetition frequencies (PRF) from 5 to 30 Hz, with a combination of pulse energies from 2 to 30 J were applied; this covered a range of energy densities from 800 to . The area of inactivation of S. aureus, lawned on nutrient agar plates, was quantified as a function of energy density and exposure time. The shortest exposure time which produced an area of inactivation equal to 50% of the beam area was achieved at a PRF of 30 Hz, pulse energy of 10 J, and with an exposure time of 10.75 s; this was equivalent to an applied energy density of . No bacterial inactivation was observed at relatively low-power settings for PRF, pulse energies and exposure time of: 20 Hz, 3 J and 34 s; 25 Hz, 2 J and 45 s and 30 Hz, 2 J and 35 s, respectively. These results shows that pulse energy, PRF and exposure time are important criteria when considering inactivation of micro-organisms by laser radiation.
采用50 ~ 300 W的高功率Nd:YAG激光辐射,研究了激光辐射对金黄色葡萄球菌6571(牛津菌株)的影响。激光脉冲重复频率(PRF)范围为5 ~ 30 Hz,脉冲能量组合为2 ~ 30 J;这涵盖了能量密度从800到。金黄色葡萄球菌的失活面积,植于营养琼脂板上,被量化为能量密度和暴露时间的函数。在PRF为30 Hz,脉冲能量为10 J,曝光时间为10.75 s时,产生的失活面积等于波束面积的50%;这相当于施加的能量密度。在较低功率设置下,脉冲能量和暴露时间分别为:20 Hz, 3 J和34 s,未观察到细菌失活;25hz, 2j和45s, 30hz, 2j和35s。这些结果表明,脉冲能量、PRF和暴露时间是考虑激光对微生物灭活的重要标准。
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引用次数: 11
Interferometric studies on multi-mode step-index optical fibres 多模阶跃折射率光纤的干涉测量研究
Pub Date : 1998-05-01 DOI: 10.1088/0963-9659/7/3/006
A. A. Hamza, A. Nasr
Multiple-beam interference of the Fizeau type is used to investigate multi-mode step-index optical fibres. Two different types of multi-mode step-index optical fibres are studied interferometrically. The first has a plastic cladding and silica core (the problems of studying this type of fibre and how to overcome these problems are outlined). The second fibre is a multi-mode multi-step-index (quadruple-layer) optical fibre. This sample is used to test the accuracy of the method used for calculating the refractive index profile of the fibres.
采用菲索型多光束干涉研究了多模阶跃折射率光纤。对两种不同类型的多模阶跃折射率光纤进行了干涉测量研究。第一种是塑料包层和硅芯(概述了研究这种纤维的问题以及如何克服这些问题)。第二种光纤是多模多阶跃折射率(四层)光纤。该样品用于测试用于计算光纤折射率分布的方法的准确性。
{"title":"Interferometric studies on multi-mode step-index optical fibres","authors":"A. A. Hamza, A. Nasr","doi":"10.1088/0963-9659/7/3/006","DOIUrl":"https://doi.org/10.1088/0963-9659/7/3/006","url":null,"abstract":"Multiple-beam interference of the Fizeau type is used to investigate multi-mode step-index optical fibres. Two different types of multi-mode step-index optical fibres are studied interferometrically. The first has a plastic cladding and silica core (the problems of studying this type of fibre and how to overcome these problems are outlined). The second fibre is a multi-mode multi-step-index (quadruple-layer) optical fibre. This sample is used to test the accuracy of the method used for calculating the refractive index profile of the fibres.","PeriodicalId":20787,"journal":{"name":"Pure and Applied Optics: Journal of The European Optical Society Part A","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"1998-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85905997","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
期刊
Pure and Applied Optics: Journal of The European Optical Society Part A
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