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The gymnasium of the mind

机译:心灵体育馆

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Let us begin with a celebration of Progress in Optics, edited since it was launched in 1961 by E. Wolf, which has reached volume 50 [1]. To mark the occasion, Wolf has collected eight essays on the history of optics, beginning with "From millisecond to attosecond laser pulses" by N. Bloembergen. Not only is this of intrinsic interest but it concludes with an arresting comment: "The understanding of the attosecond processes of soft X-ray emission and its inverse of photo-ionization can be formulated in terms of electron interferometry." Next, a fascinating account of "Conical diffraction: Hamilton's diabolical point at the heart of crystal optics" by M.V. Berry and M.R. Jeffrey. Berry has accustomed us to amazing findings in his work on optical singularities over the last few decades but this may be his finest yet. His list of 10 "reasons why conical refraction is worth revisiting" is too long to reproduce here in full, so I must extract the essence. The effect was predicted by W.R. Hamilton in 1832 (published 1837) and "was an early (perhaps the first) example of a qualitatively new phenomenon predicted by mathematical reasoning .... Prediction of qualitatively new effects by mathematics may be commonplace today but, in the 1830s, it was startling." Berry and Jeffrey then remind us that "critical refraction was the first non-trivial application of phase space" and "Its observation [by H. Lloyd, in 1837] provided powerful evidence that light is a transverse wave." "It was the first physical example of a conical intersection (diabolical point) ... involving a degeneracy." It "displays a subtle interplay of ray and wave physics" and "Analysis of the theory [by Berry] led to an identification of an unexpected universal phenomenon in mathematical asymptotics." Moreover, "There are extensions ... of the case studied by Hamilton and their theoretical understanding still presents challenges .... Conical diffraction is a continuing stimulus for experiments. Although the fine details of Hamilton's original phenomenon have now been observed [by Berry, Jeffrey and Lunney], predictions of new structures that appear in the presence of chirality, absorption and nonlinearity remain untested." Finally, the comment I most enjoyed "The story of conical diffraction, unfolding over 175 years, provides an edifying contrast to the current emphasis on short-term science."
机译:让我们开始庆祝光学进步,该庆祝活动自1961年由E. Wolf发起以来,已达到50卷[1]。为了纪念这一时刻,沃尔夫(Wolf)收集了八篇有关光学史的论文,从N. Bloembergen撰写的“从毫秒到阿秒激光脉冲”开始。这不仅具有内在的意义,而且以引人注目的结论而告终:“对软X射线发射的阿秒过程及其与光电离的逆关系的理解可以用电子干涉法来阐述。”接下来,由M.V.着迷的“圆锥形衍射:汉密尔顿的晶体光学晶体的中心点”。贝瑞(Berry)和杰弗里(M.R. Jeffrey)。在过去的几十年中,贝瑞使我们习惯于在光学奇点方面的惊人发现,但这可能是他最好的。他的10个“为什么需要重新讨论圆锥折射的原因”列表太长,无法在此处完整复制,因此我必须提取其要点。 WR Hamilton在1832年(1837年出版)预测了这种效果,“这是通过数学推理预测的定性新现象的早期(也许是第一个)例子。如今,数学上定性地定性新效果可能很普遍,但是,在1830年代,这是惊人的。”贝里和杰弗里然后提醒我们,“临界折射是相空间的第一个非平凡的应用”,“它的观察(由H. Lloyd,1837年提供)提供了有力的证据,证明光是横波。” “这是涉及退化的圆锥形相交点(分解点)的第一个物理示例。”它“展示了射线和波物理学的微妙相互作用”,并且“ [Berry]对理论的分析导致了数学渐近现象中意料之外的普遍现象的识别”。而且,“汉密尔顿研究的案例有扩展……他们的理论理解仍然提出挑战……。锥形衍射是实验的一种持续刺激。尽管现在已经观察到汉密尔顿原始现象的精细细节[由贝里,Jeffrey和Lunney]预测,在存在手性,吸收和非线性的情况下出现的新结构仍未得到验证。”最后,我最喜欢的评论是“锥形衍射的故事,历经175年的发展,与当前对短期科学的重视形成了鲜明的对比。”

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