‘Time-integrated” synchrotron radiation in high-energy astrophysics

We survey the observational data on infrared, optical and X-radiation sources associated with energetic cosmic events, and note the occurrence of an apparently preferred value of the spectral index,n=1, for the radiation continua. We review the essentials of standard synchrotron radiation theory; the conventional interpretation of the observational data in terms of an energy distribution of electrons injected into a constant, low valued magnetic field; and the somewhat unsatisfactory attempts that can be made to explain this electron energy distribution in terms of the Fermi acceleration mechanism. We examine the evidence for the presence in the radiation sources of high magnetic fields, which cause evolution of the synchrotron radiation power spectrum to occur. We work out the consequences of this evolution, and obtain a new form of synchrotron radiation theory, which we describe astime-integrated synchrotron radiation theory, the particular advantage of which is that it is able to give a unique value (n=1/2 of the spectral index for radiation produced by a single high energy electron, independently of the initial electron energy. We consider the consequences of there being a distribution of magnetic field values in a radiation source; and in particular we consider a uniform distribution (in which all values are equally probable), which is capable of producing the required spectral indexn=1. We show that this uniform distribution can be explained in terms of a model in which there exist condensations of material containing high magnetic fields and within which electrons can be generatedin situ, through the familiar pion production and decay processes. We also consider systems in which electrons in a radiation source have injection patterns that enable the radiation continua to be interpreted in terms of time-integrated synchrotron radiation theory, originally devised for a single electron. We apply these considerations to sources of optical and higher frequency radiation; we also show that they have limited application to certain types of radio source. We suggest in conclusion that the condensations that feature in our model could act as basic units of structure for complex radiation sources associated with different types of energetic cosmic event, and that therein could lie the clue to the evident similarity of their radiation continua.