![]() A common way of stating this is to say that if the wavelength of the light is much greater than the Compton wavelength of the target particle, then the scattered light experiences a negligible wavelength shift compared to the incident light. This makes sense, since heavier particles will take less of the photon's energy than lighter ones, so the outgoing photon energy will be closer to the incoming photon energy. In a problem from Bransden and Joachains Quantum Mechanics, it is asked to calculate the Compton wavelength shift, but the electron is now moving, with a momentum P, in the same direction as the approaching photon. In this case, \(\cos\theta=\cos 180^o=-1\), which means that the wavelength of the incoming light is increased by two Compton wavelengths.Īnother thing to note is that if the scattering is off a heavier particle (such as a proton rather than an electron), then the effect is far less pronounced, meaning the scattered light is closer in wavelength to that of the incoming light than if the particle were lighter. when it comes straight back the way it came in. Notice that the most energy that the photon can lose is when it is backscattered, i.e. For the most part in this, we neglect losses in the medium (i.e the attenuation constant 0 ), and approximate the medium with. ![]() Spherical coordinates parameterized by r,. \) is often written as "\(\lambda_c\)", and is called the Compton wavelength of the particle with mass \(m\). Basic antenna definitions Electromagnetic notation basics Cartesian coordinates parameterized by x, y, z.
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