Homework

 

Written report topic (WRT) # 1. Assume stochastic acceleration at the loop top with a power-law spectrum of magnetic turbulence. Calculate the DSR spectrum from power-law electron distributions with different power-law indices. Express the result in Solar Flux Units (sfu). Normalize the source volume by 1027cm3 and the turbulent magnetic energy by 103 erg cm-3. Review the papers on the betatron and Fermi acceleration in the collapsing traps.


WRT # 2. Express the DRL spectrum, calculated at the first step, in Solar Flux Units (sfu). Normalize the Langmuir energy density by 103 erg cm-3. Consider cases of large-scale and small-scale Langmuir turbulence.
 

WRT # 3. Using Step 1 results, calculate intensity of the synchrotron radiation taking into account the free-free absorption in the warm interstellar medium and in the local cloud. Assume that the local cloud is isotropic spherical layer with some thickness (a few pc).
 

WRT # 4. Assume global sausage mode oscillations of the magnetic loop. Calculate modulation amplitude (or power), phase, and degree of polarization as a function of frequency.
 

WRT # 5. Using Step 1 results present the radio emission flux in Solar Flux Units (sfu). Review and describe different models suggested for the Masuda source in the literature.
 

WRT # 6. Using Step 1 results calculate synchrotron spectra from a few locations including the location of the spatial peak of the emission.
 

For all WRT: expand the introduction for the written report. Use Latex, e.g., ApJ style (preferable).