On the problem of the phase shifts of reflected light

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On the problem of the phase shifts of reflected light

The paper solves the topical question of phase shifts when light is reflected. By introducing the reflection tensor and its transformation it was found that all phase shifts hitherto given in the literature can be used. It was proved that when different phase shifts are used the corresponding unit vectors must be oriented. If an arbitrary coordinate system and the relations pertaining to it are used consistently it is not possible by calculation or experiment to arrive at contradictory results.

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Is the electron a composite particle? An experiment

The crucial problem of physics was first formulated by Democritus in the 5th century BC: to find the or smallest uncuttable bits of matter. That has not changed ever since. Among the current candidates are electron and positron, the least expensive of today's bona fide . Experimental tests of their non-compositeness by precisely measuring the gyromagnetic ratios of the individual trapped particles are reviewed.You know, it would be sufficient to really understand the electron.Albert Einstein     

Statistical phase properties in a coherent state

The wave function of a harmonic oscillator is investigated under the assumption that the phase plays the role of a generalized coordinate. This wave function makes it possible to obtain all possible statistical information concerning the phase in a coherent state (moments of all orders). It is particularly simple to calculate cos and sin .Odessa State Pedagogical Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 34, No. 7, pp. 748–760, July, 1991.     

Group velocity difference effect on incoherent sum-frequency generation spectrum

The spectral distribution of optical sum-frequency generation (SFG) by incoherent non-linear mixing of two chaotic beams with identical spectral width is calculated theoretically in the first approximation of the iterative method including dispersion of the non-linear medium and the difference between the group velocity of the input beams. It is shown that for the same group velocities (=0) of the input beams in non-linear medium the resultant field has a spectral width narrower than , and if a phase mismatch is present the spectral maximum of the resultant field is shifted towards lower or higher frequencies according to the sign of the phase mismatch. If the input beams have different group velocities (0) in the non-linear medium, then the spectral distribution of SFG is strongly dependent on . For small the spectral distribution of SFG is the same irrespective of . For large the difference in group velocities broadens the spectrum of SFG and for very large differences in group velocity the SFG has a spectral width identical to that of the input beams.     

Anti-photon

It should be apparent from the title of this article that the author does not like the use of the word photon, which dates from 1926. In his view, there is no such thing as a photon. Only a comedy of errors and historical accidents led to its popularity among physicists and optical scientists. I admit that the word is short and convenient. Its use is also habit forming. Similarly, one might find it convenient to speak of the aether or vacuum to stand for empty space, even if no such thing existed. There are very good substitute words for photon, (e.g., radiation or light), and for photonics (e.g., optics or quantum optics). Similar objections are possible to use of the word phonon, which dates from 1932. Objects like electrons, neutrinos of finite rest mass, or helium atoms can, under suitable conditions, be considered to be particles, since their theories then have viable non-relativistic and non-quantum limits. This paper outlines the main features of the quantum theory of radiation and indicates how they can be used to treat problems in quantum optics.It is a pleasure to join in the 60th birthday celebration of the Director, Herbert Walther, of the Max-Planck-Institute for Quantum Optics at Garching, and wish him much happiness and many more years of his very great scientific creativity.     

Generalized Bargmann potentials

Conditions are found for the coefficient functions of a linear ordinary differential equation of the kth order ^(k)+u₁^(k-2)+...+u_k-1=^k, when its solution has the following analytical dependence on the parameter: =exp(z _i=1 ⁿ (+a_i)(a_ja_j(Z)). The problem is closely related to the finding of n-soliton solutions of the simplest form for the periodic Toda system, corresponding to A _nand C _nseries.     

The interface of the Ising model and the Brownian sheet

We study the limit theorem related to the interface of the three-dimensional Ising model. Dobrushin proved that the interface does not fluctuate and becomes rigid for sufficiently large. We define the random fieldX ^L (t, s), 0t, s1, on the interface, and prove that X^L(t, s) converges to the Brownian sheet as L for sufficiently large, whereL denotes the size of the system. This result does not mean that the interface itself converges to the Brownian sheet.     

Der Einfluss der positiven Ionen auf die Exoelektronenemission

Zusammenfassung Es werden die Ergebnisse der Messung des Einflusses der auf den Emitter bei der Messung der Exoelektronenemission mittels Geiger-Müller-ZÄhlers auffallenden positiven Ionen beschrieben und die möglichen Mechanismen der Beeinflussung der Emission diskutiert.

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Perturbed periodic Hamiltonians: Essential Spectrum and exponential decay of eigenfunctions

Spectral properties of – +V(x), whereV(x) lies in a neighbourhood of the periodic case and describes various models of disorder, are studied. We prove the exponential decay of generalized eigenfunctions corresponding to energies in the resolvent set of the unperturbed periodic Hamiltonian, as well as the stability of the essential spectrum for the dislocation disorder in two dimensions.     

Generalized Ehrenfest Theorem for Nonlinear Schrodinger Equations

It is shown that the Ehrenfest theorem can begeneralized so that it is valid also for allspace-localized solutions of the nonlinearSchrodinger equations (in one or more space dimensions).Then it is shown that as a consequence, the motion ofthe localized -field as a whole obeys the laws ofclassical mechanics and those of classicalelectrodynamics if the interaction of the -fieldwith an external electromagnetic field is defined bythe rules of quantum mechanics applied to the nonlinearSchrodinger equation for (in exactly the samemanner as to the linear Schrodinger equation). This establishes the existence of a deep linkbetween the nonlinear Schrodinger equations andclassical mechanics and electrodynamics.     

The effects of slippage and diffraction in long wavelength operation of a free electron laser

The Free-Electron Laser user facility FELIX produces picosecond optical pulses in the wavelength range of 5–110m. The proposed installation of a new undulator with a larger magnetic period would allow extension towards considerably longer wavelengths. This would result in the production of extremely short, far-infrared pulses, with a duration of a single optical period or even less. In order to investigate the pulse propagation for free-electron lasers operating in the long wavelength limit, a three-dimensional simulation code was developed. Using the FELIX parameters, with the addition of a long-period undulator, the effects of slippage, diffraction losses, changes in the filling factor, as well as the effects of the optical cavity geometry were studied for wavelengths up to 300m, with electron pulses in the ps regime. It is shown that slippage effects are less restrictive for long wavelength operation than the increasing losses due to optical beam diffraction.     

Cosmic numbers and quantum theory

The cosmic numbers are considered, with emphasis on the relationN ². (HereN is the number of nucleons in the universe, and, its radius in atomic units.) This relation is interpreted in terms of a quantum mechanical model.     

Рентгенографически е измерения остаточн ыгх напряжений в керамич еских изоляторах из плавленного корун да

Al₂O₃ K ₁ . , , .     

ГАЛЬВАНОМАГНИТНЫЙ Э ФФЕКТ В ОБЛАСТИ ТЕМПЕРАТУРЫ КЮРИ

. - II- . .     

Single crystal diffraction pattern of germanium

The diffraction pattern for the (111)-reflection of germanium was measured by means of the three-crystal arrangement and compared with dynamical theory. The results obtained indicate the possibility of using germanium crystals for precise measurements in X-ray spectroscopy.

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In conclusion the authors thank Ing. Hrubý for preparing the germanium single crystals and participating in the preparation of the surfaces; they are also indebted to V. Smutná, R. ída and A. Irra for the care with which they carried out various tasks and V. Horáková for carefully performing the numerical calculations.     

ПРИБОР ДЛЯ РАЗЛОЖЕНИ Я КОМПОНЕНТ Kα1, α2 ДУБЛЕТА НА РЕНТГ ЕНОВСКИХ ДИФФРАКЦИОННЫХ СНИМ КАХ

n ₁, ₂ , -.     

ИЗУЧЕНИЕ ИНТЕГРАЛЬН ОЙ И ЛОКАЛЬНОЙ ЧУВСТВИТЕЛЬНОСТИ ФО ТОКАТОДОВ И ИХ ВЛИЯНИ Е НА ГОРИЗОНТАЛЬНЫЙ УЧ АСТОК ХАРАКТЕРИСТИК И СЦИНТИЛЛЯЦИОННОГО Д ЕТЕКТОРА

, RCA 5819, 19 41PK411 ( ). - , .     

РЕНТГЕНОВСКОЕ ИЗЛУЧ ЕНИЕ, ВОЗБУЖДАЕМОЕ ПР ОТОНАМИ в Zn,Cu, Ni,Co и Fe

, , - 400–700 Zn, Cu, Ni, Co Fe. NaCl. - -. -. - , - .     

A classical theory of hard squares

A simple phenomenological theory of the hard-square lattice gas is obtained by analyzing a low-order corner transfer matrix variational approximation. The free energy is of Landau type and expressions are obtained for the order parameter and densities. In this approximation, the model exhibits a critical point atz _c =4(3 + 23)/9 with critical exponents given by the classical values: =0_disc,=1/2, =1, =3.