Raman-Nath equation free-electron laserI. INTRODUCTION The Raman-Nath equation (RNE)was originally derived to describe light diffraction caused by ultrasound. Recently, it is pointed out that RNE is important for one to discuss photon statistical properties of free-electron laser (FEL). In general...
提要提出一种求解正常声光相互作用拉曼 内斯( )方程的矩阵级数解法,该解法直观方便且具有普遍 性。计算结果表明,对 ! , 衍射的效率只有 ;对非对称入射,以往的 近似解误差较 大;指出提高 衍射效率的有效途径在于提高声光频率比并给出计算声光器件最优长度的计算公式。 关键词声光效应,衍射效率,拉曼 内斯方程,...
quantum optics/ Raman-Nath equationexact solutionquantum opticsnonlinear opticsdifferential recursive equationsperturbed solutions/ A0230 Function theory, analysis A4250 Quantum optics A4265B General theory of nonlinear opticsIn this paper we discuss the differential recursive equations of the Raman-Nath ...
Equations of the Raman-Nath (RN) type belong to the recursive differential class, and their analytical solution is thought to be unobtainable in terms of known functions. Attention is given here to another type of equation, referred to as the harmonic Raman-Nath (HRN) equation. This equation,...
4) Raman Nath equation 拉曼内斯方程 5) non degenerate Raman process 非简并拉曼过程 1. Using the modified effective Hamiltonian fornon degenerate Raman process, we have calculated the evolution of the two mode field entropy and investigated the influence of the AC Stark shift on the evolution of...
We present an analytic theory of the diffraction of (matter) waves by a lattice in the 'quasi-Bragg' regime, by which we mean the transition region between the long-interaction Bragg and 'channeling' regimes and the short-interaction Raman-Nath regime. The Schroedinger equation is solved by ...
The key-point of the technique proposed here is the analysis of a differential-difference equation, known in the literature as harmonic Raman-Nath equation.关键词:02.30 Function theory analysis DOI: 10.1007/BF02746975 被引量: 2 年份: 1985 ...
To achieve the fidelity performance of the current Raman quantum memory, we measure the fidelity using the equation \(F = \left| {Tr\left( {\sqrt {\sqrt {\rho _{{\mathrm{in}}} \rho _{{\mathrm{out}}}\sqrt {\rho _{{\mathrm{in}}} } } \right)} \right|^2\)35, where ρin...
An optimal gain-flattened lumped Raman fiber amplifier (L-RFA), which was designed by cascading different chalcogenide fiber, was proposed and numerically demonstrated. The As-S fiber and the As-Se fiber were pumped by laser with different wavelengths. By solving the equation of the L-RFA, the...
The estimates are used to justify an approximate method for solving the Raman-Nath equation with an analogue computer; this approach yields results for all values of the parameters attained in experiments so far. Numerical results are compared with the measurements of Klein and Hiedemann, showing ...