• Y. Pinhasi, Yu. Lurie, G.A. Pinhasi, A. Yahalom
  CJS, Ariel

Microwave tubes and free-electron lasers are based on distributed interaction between electromagnetic radiation and gain media. When such devices are operating in an amplifier configuration, a forward wave is amplified while propagating in a polarized medium, in a stimulated emission process. Formulating a coupled mode theory for excitation of both forward and backward waves in a distributed gain medium, we have identified in previous works [1] conditions leading to efficient excitation of backward wave without any mechanism of feedback or resonator assembly. The induced polarization is given in terms of an electronic susceptibility tensor, resulting in a coupling coefficient betweens the waves. In this work we extend our previous results in two directions: 1. We discuss the case of a complex coupling coefficient between the backward and forward waves and extend our previous results with respect to a real coupling coefficient, thus the present work discusses a more general and realistic case. 2. We discuss the solution of the same problem relaxing the "high gain" assumption. This leads to a more complex set of third order differential equations.

[1] "Backward Wave Excitation and Generation of Oscillations in Distributed Gain Media and Free-Electron Lasers in the Absence Of Feedback" the 26th International FEL Conference, Trieste, Italy.

• A. Yahalom, Yu. Lurie, Y. Pinhasi
  CJS, Ariel

In a recent paper [1] we have described a novel variational formulation for the propagation and generation of radiation in wave-guides. The formulation is based on the representation of all the involved quantities in the frequency domain and the decomposition of field and currents in terms of the wave-guide transversal Eigen function. In this work we present the utilization of this formalism to the derivation of a numerical scheme that is used to study the build up of radiation in free electron lasers in the linear approximation.

[1] Asher Yahalom, Yosef Pinhasi & Yuri Lurie "Spectral and Variational Principles of Electromagnetic Field Excitation in Wave Guides" submitted to Physics Letters A (2004).

• A. Yahalom, Yu. Lurie, Y. Pinhasi
  CJS, Ariel
• A. Eliran, A. Gover
  University of Tel-Aviv, Faculty of Engineering, Tel-Aviv

We have measured spontaneous FEL radiation in the Israeli Electrostatic Accelerator FEL (EA-FEL) . The measurements were repeated numerous times in order to get information of statistical significance. The distribution of the radiation power measurements and various statistical moments derived from this distribution contain information on the electron beam statistics and its interaction with the wiggler magnetic field and the resonator that contain the radiation. In this work we present both the measured radiation power statistical data and its connection to the statistics of the electron beam through numerical and analytical models.

• A. Gover, A. Faingersh, M. Kanter, B. Kapilevich, B. Litvak, S. Peleg, Y. Socol, M. Volshonok
  University of Tel-Aviv, Faculty of Engineering, Tel-Aviv
• M. Einat, Yu. Lurie, Y. Pinhasi, A. Yahalom
  CJS, Ariel

The Israeli Electrostatic Accelerator FEL (EA-FEL) is now being upgraded towards long pulse (1005s) operation and ultra-high resolution (10(-6)) single pulse coherent spectroscopy. We present quantitative estimations regarding the applications of controlled radiation chirp for spectroscopic applications with pulse-time Fourier Transform limited spectral resolution. Additionally, we describe a novel extraction-efficiency-improving scheme based on increase of accelerating voltage (boosting) after saturation is achieved. The efficiency of the proposed scheme is confirmed by theoretical and numerical calculations. The latter are performed using software, based on 3D space-frequency domain model. The presentation provides an overview of the upgrade status: the high-voltage terminal is being reconfigured to accept the accelerating voltage boost system; a new broad band low-loss resonator is being manufactured; multi-stage depressed collector is assembled.