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Transverse plane

About: Transverse plane is a research topic. Over the lifetime, 17069 publications have been published within this topic receiving 194059 citations. The topic is also known as: axial plane.


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Journal ArticleDOI
TL;DR: Through manipulating the incident polarization states of laser beams as well as the apodization of a objective and adjusting the numerical aperture of an objective, focal fields dominantly with either one transverse component or one longitudinal component can be generated.
Abstract: In this paper the polarization states of linearly and radially polarized plane wave and doughnut beams in the focal volume of high numerical aperture objectives are studied. Through manipulating the incident polarization states of laser beams as well as the apodization of an objective and adjusting the numerical aperture of an objective, focal fields dominantly with either one transverse component or one longitudinal component can be generated. Furthermore, tailored polarization distributions with three polarization components of the same strength are also found.

59 citations

Journal ArticleDOI
TL;DR: It is suggested that cross-polarization measurement using a null detector can serve as a new method for accurate determination of the center of Gaussian laser beams.
Abstract: Polarization properties of Gaussian laser beams are analyzed in a manner consistent with the Maxwell equations, and expressions are developed for all components of the electric and magnetic field vectors in the beam. It is shown that the transverse nature of the free electromagnetic field demands a nonzero transverse cross-polarization component in addition to the well-known component of the field vectors along the beam axis. The strength of these components in relation to the strength of the principal polarization component is established. It is further shown that the integrated strengths of these components over a transverse plane are invariants of the propagation process. It is suggested that cross-polarization measurement using a null detector can serve as a new method for accurate determination of the center of Gaussian laser beams.

59 citations

Journal ArticleDOI
TL;DR: The main claim is that transverse effects can be responsible for low threshold instabilities and is more plausible to explain the observed pulsations in many lasers than what is available in terms of the traditional plane-wave theories.
Abstract: We generalize the traditional Maxwell-Bloch theory of a ring laser and analyze the dynamical role of transverse effects. With the help of a suitable extension of the uniform-field limit we perform an essentially analytical study of the steady-state and linear-stability properties of a ring resonator containing a homogeneously broadened active medium. In this context we incorporate the effects of curved reflecting surfaces, the possible lack of transverse uniformity of the pump, and the detailed structure of the cavity modes. In the uniform-field limit we prove that the laser steady state is of the single-mode variety and that lack of stability can be induced in this field configuration even only a few percent above the threshold for laser action. Thus our main claim is that transverse effects can be responsible for low threshold instabilities. This explanation is more plausible to explain the observed pulsations in many lasers than what is available in terms of the traditional plane-wave theories.

59 citations

Journal ArticleDOI
01 Jan 1981
TL;DR: In this paper, a numerical analysis of self-sustaining detonations is performed on the non-steady two-dimensional behavior of self sustaining detonations in a finite width channel.
Abstract: A numerical analysis of performed on the nonsteady two-dimensional behavior of self-sustaining detonations. In order to produce realistic two-dimensional structures during propagation in a finite width channel, an initially assumed plane one-dimensional Chapman-Jouguet detonation was perturbed by locating up to five pairs of exothermicity spots in the passage of the detonation. The most interesting feature of the simulation was the number of triple shock waves existing after a certain time of transition from plane to periodically nonsteady two-dimensional structures. In other words, the final number of transverse shock waves becomes mostly two, which are nearly irrelevant to the assumed number of initial exothermicity spots. Details of the disappearance of several transverse waves during their rearrangement were clearly observed and are discussed. In addition, despite considerable deviation of the instantaneous propagation velocity from from the C-J value, the average of such oscillations was close to the C-J value. Thus, the results of the simulation provided the numerous features observed in the present gaseous detonations experiments. The numerical schemes utilized were the explicit first-order Van Leer and second-order MacCormack methods. The effect of artificial viscosity was examined and found to affect the transition to fully developed detonation.

58 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20231,178
20222,308
2021385
2020597
2019709
2018654