Reflection of EM plane wave from a moving objectby sunjin09 Tags: moving, object, plane, reflection, wave 

#1
May912, 01:49 PM

P: 312

A plane wave normally incident onto a perfectly conductive surface moving in the normal direction with constant velocity comparable to the speed of light. How do I solve such problem? If I treat the conductor as static, and the source of plane wave as a moving source, do I only need to consider doppler effect, i.e., the wavelength or frequency of the plane wave is scaled, and the speed of light is unchanged?
In general, how to I solve a scattering problem with moving scatterers? Do I just treat them as timedependent media and substitute into Maxwell's equations and figure out all the timederivatives? 



#2
May1112, 10:43 AM

Sci Advisor
HW Helper
P: 1,937

Make a Lorentz transformation to the rest system of the conducting surface or moving object. Do the scattering calculation to find the reflected fields. Then LT these fields back to the original system.




#3
May1112, 11:33 PM

P: 312

Assuming I'm a person standing at the conducting surface measuring EM field fluctuations, if the source of the plane wave is moving toward me, I would observe an EM fluctuation at a frequency higher than the frequency of the wave observed in the original frame, but it is still a plane wave, that's all I as well as the conductor can tell, so I can solve for the reflected field just like what I normally do. Now I go back to the original frame, recalling the source of the reflected plane wave (surface currents) is moving toward me, all I can feel is a fluctuation at a higher frequency than the ALREADY INCREASED frequency when I did my calculation in the moving frame. Does this sound about right? The frequency increases two times as a result of the Doppler effect in both forward and backward propagation, and the amplitude is unchanged? 


Register to reply 
Related Discussions  
Reflection of a falling object on an Inclined Plane  Introductory Physics Homework  9  
Object moving across horizontal plane.  Advanced Physics Homework  1  
Object moving on a plane (frictionless)  Introductory Physics Homework  10  
Reflection of spherical wave from plane  Introductory Physics Homework  2  
Query on an object moving in a 2D plane  Classical Physics  6 