Find the (a) amplitude, (b) period, (c) phase shift (if any),
(d) vertical translation(if any), and (e) range of each function.
then graph the function over at least one period.
1) y=-1/4 sin(3/4x+180degrees/8)
2)y=-3+3sin1/2x
3)y=2/3cos(x=180degrees/2)
Derive the Fresnel equations for the complex amplitude of the
reflected and transmitted electric fields ?or and ?ot, in terms of
the amplitude of the incident electric field ?oi, for a plane wave
incident at an oblique angle on an interface between two
dielectrics, when the polarization of the incident wave is
perpendicular to the plane of incidence (s-polarized). Express the
answer in terms of the parameters ?= costhetaT/costhetaI and
?=M1v1/M2v2. <-M mue
Answer the following short prompts regarding waves:
Part 1:
Three waves of the same amplitude (1m) but different wave
lengths are superimposed. The wave energy density of the first wave
is E. What is the energy density of the superimposed wave?
A) E
B) 3E
C) 9E
D) None of the others
Part 2:
Three waves of the amplitudes (1m, 2m, 3m) but different wave
lengths are superimposed. The wave energy density of the first wave
is E. What is...
Derive the angular spectrum of the field transmitted through
an amplitude grating that the transmission coefficient is T=T0*
cos^2(2pi*x/a). Assuming normal incident plane wave at wavelength
?. Based on the result, design a amplitude grating that has uniform
power distribution into three diffraction orders.
Two harmonic waves of pulsation m and amplitude a
overlap at a point P. It is observed that also the resulting wave
has amplitude equal to a.
> Calculate the phase shift Δφ between the two waves;
> Calculate the phase shift of the resulting wave with respect
to the original wave it has
minor initial phase. If the phase shift of the two harmonics is 180
°, how much the resulting wave amplitude would become?
data:
1. amplitude of...
Transverse waves on a string have wave speed v=8.00m/s, amplitude A=0.0700m, and wavelength ?=0.320m. The waves travel in the -x direction, and at t=0 thex=0 end of the string has its maximum upward displacement.
Part A
Find the frequency of these waves.
Part B
Find the period of these waves.
Part C
Find the wave number of these waves.
Part D
Write a wave function describing the wave.
Part E
Find the transverse displacement of a particle at x=0.360m at...
The cosine waves amplitude is 25% of the wave length. How many
percent larger is this area as compared to being totally flat
(amplitude is 0% of wave length). Base your calculations on the
numeric length integral for the waves length.
Determine the amplitude, the period and the phase shift of the
function
1. y = -3 cos ( 4 x - PIE ) + 2
2. y = 2 + 3 cos ( PIEx - 3 )
3. y = 5 - 2 cos ( PIE/2 x + PIE/2 )
4. y = - 1/2 cos (2 PIE x ) + 2
5. y = - 2 sin ( - 2 x + PIE ) - 2
6. y = -...