The Study About The Nonthermal Emission Of The Crab Nebula From Radio To TeV Gamma-ray Bands

In this thesis, we study the multi-band radiation from Crab Nebula. We first introduce the theory about pulsar wind nebulae (PWNe), which include the recent observation and the evolution. Generally, the relativistic electrons in the PWNe consists of two components, one comes directly from pulsar magne-tosphere, another from the shock acceleration in the PWNe. So the distribution of the electrons is a broken power law with different indices and a break energy. Based on a simplified time-dependent injection model of the relativistic electrons, we give out the energy spectrum of the Crab nebula from radio to TeVγ-ray bands. In this model, primarily accelerated electrons are injected temporally into the nebula. The accelerated electrons emit nonthermal photons through synchrotron radiation and inverse Compton scattering off soft photon fields. The emission from radio to mediumγ-rays is from electron's synchrotron radiation, whereas the high-energy photons primarily come from the inverse Compton scattering of the relativistic electrons on synchrotron photons. The resulting spectrum calculated is well consistent with the observed data ranging from radio to VHEγ-rays for the Crab nebula.