A wave defined by the expression E (z,t) = A cos(ot-kz) fills all space directions perpendicular...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
(1) Wave propagation (10 points) (a) Consider a wave described by Ex = E, cos(ot-kz) Ey = 0 Ez = 0 Bx = 0 By = (E. /c) cos(@t-kz) Bz = 0 What is the direction of propagation of the wave? (b) Consider a wave described by Ex = 0 Ey = 0 Ez = E, cos(ot-ky) Bx = (E, /c) cos(ot-ky) By = 0 Bz = 0 What is the direction of propagation of the wave?
Consider electromagnetic waves in free space of the form Ē(x,y,z,t)= Ē. (x, y )e i kz-ot) B(x, y, z,t)= B. (x, y )ek-et) where Ē. (x,y) and B. (x,y) lie in the x-y plane (no z-component). (a) Use Maxwell's equations to find the relationship between k and o. (b) Show that Ē.(x,y) and B. (x,y) satisfy the electrostatic/magnetostatic version of Maxwell's equations. Hint: It may be helpful to break up the curl into components.
The momentum density of an electromagnetic wave is defined as . The direction of the momentum density denotes the direction of the propagation of an electromagnetic wave. At a particular instant, the electric field associated with an electromagnetic wave propagating in free space is directed along the positive x-axis and the magnetic field is along the positive z-axis, as shown in the figure. What is the direction of propagation for this electromagnetic wave? The electromagnetic wave propagates: A. along the positive...
4. Plot the locus of E(0,t) for a plane wave with Ē (z,t) = î cos(wt+kz) +ŷ 1.3 sin(wt + kz) (V/m) Determine the polarization state from your plot. Determine the direction of propagation of the wave.
The momentum density of an electromagnetic wave is defined as Pen=€(ĒXB). The direction of the momentum density denotes the direction of the propagation of an electromagnetic wave. At a particular instant, the electric field associated with an electromagnetic wave propagating in free space is directed along the positive x-axis and the magnetic field is along the positive z-axis, as shown in the figure. Z B E What is the direction of propagation for this electromagnetic wave? The electromagnetic wave propagates:...
The momentum density of an electromagnetic wave is defined as Pem=€(ĒxB). The direction of the momentum density denotes the direction of the propagation of an electromagnetic wave. At a particular instant, the electric field associated with an electromagnetic wave propagating in free space is directed along the positive X-axis and the magnetic field is along the positive z-axis, as shown in the figure. Z B E What is the direction of propagation for this electromagnetic wave? The electromagnetic wave propagates:...
1. An electromagnetic plane wave is propagating through space. Its electric field vector is given by E i Eo cos(kz- ot). Its magnetic field vector is: a) B=jBo cos(kz-t) b) B- kBo cos(ky-at) c) B-iB, cos(ky-) d) B- kBo cos(kz-o) 1 2. The velocity of an electromagnetic plane wave is: a) In the electric field direction b) In the magnetic field direction c) In a direction parallel to the electric and magnetic fields d) In a direction perpendicular to the...
The electric field of a plane electromagnetic wave in vacuum is Ē = Ēo cos(kz – wt), [1] where Ēo = (3î + 4ỹ) Vm-1 (a) Write down the expression for the magnetic field of this wave. (b) Compute the Maxwell tensor of the wave and provide a physical interpretation of your results. (c) If the frequency of the waves is f = 2.5 x 10Hz what is the energy density in the waves at t= 0 and z= 2.0...
2010 ( electric field described by Е-Eax cos(kz-ot) +Eby sin(kz-ot) a. What is the associated magnetic field, H? 25) 8. A plane wave of elliptically polarized light in a vacuum has an perfect reflector with a normal along the z-axis c. Discuss the changes in your calculation in part b if the L x L reflector has a normal which has polar angles of 0° and φο. Include comments on the changes if the wavelength of the light is much...