3) A sli illuminated by a plane wave of wavelength 1-500nm propagating in the z for...
A double slit aperture is illuminated by light of wavelength 530nm and the interference pattern is observed on a screen 5.00m away. The slits are 2.125fim width and are separated by 0.1mm. How far apart are the first and second bright fringes? How far apart are the first and second dark fringes? Determine the slit to screen distance required such that the width of the central peak of the diffraction pattern is 1 m. Why is the calculation from part...
9. Solve for the observed diffraction of a plane wave propagating the 3-slit aperture shown in the figure below. The slit widths are equal to W Use the following formulas to help recty(e), l 0, otherwise Wsinesine A(x)-rect,,G-D/2) + rect,"(x + D/2) + rect,"(x) 1 -D/2 I D/2
3. Interference on a screen (40 pts) Consider two plane wave beams propagating in free space. They are identical except for the fact that they are misaligned with respect to each other by an angle 0, and are shined onto a screen. screen (a) If each beam has an amplitude Eo, write down an expression for the electric field of each plane wave in terms of Eo, the wavevector magnitude k, and the angular frequency w (using the coordinate system...
Stuck on this question, could someone show how to solve it? Thank you. ConstantsI Periodic Table Part A Light of wavelength 740 nm passes through a slit 1.0 μm wide and a single-slit diffraction pattern is formed vertically on a screen 32 cm away Determine the light intensity I 17 cm above the central maximum, expressed as a fraction of the central maximum's intensity I Express your answer using two significant figures. 16.4. 10-5 Submit X Incorrect; Try Again; 2...
Need some help, please write the steps very clear, thanks. 1. A plane wave of wavelength 5893x10-8 cm passes through a slit 0.5 mm wide and forms a diffraction pattern on screen placed on the focal plane of a lens of focal length 1 m. Calculate the separation of the first dark band on either side of the central maxima.
Electromagnetic Waves 2 1 2 3 4 A plane monochromatic electromagnetic wave with wavelength 1 = 2.6 cm, propagates through a vacuum. Its magnetic field is described by B = (B,i+Byj) cos(kx + wt) where B, = 2.7 x 10-6 T, B, - 5.9 X 106T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is f, the frequency of this wave? 0 GHz Submit 2) What is I, the intensity of...
The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 427 nm, propagating in a vacuum in the z-direction is described by B⃗=(B1sin(kz−ωt))(i^+j^)B→=(B1sin(kz−ωt))(i^+j^) where B1 = 7.6 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is k, the wavenumber of this wave? 2) What is zmax, the distance along the positive z-axis to the position where the magnitude of the magnetic field is a maximum...
(a) (4 marks) Unpolarised light is incident on a set of three polarising sheets as shown in the figure. The polarising directions of the first and third sheets make angles 01 = 0.0°, and 03 = 90.0° to the vertical, respectively. Find the fraction of the incident intensity that passes through the set of three sheets when 02 is (i) 0°, (ii) 90°, and (iii) 45.00 Air Glass (b) (6 marks) Two rays of light are propagating through a glass...
EXERCISE 4.3-1 Fraunhofer Diffraction from a Rectangular Aperture. Verify that the Fraunhofer diffraction pattern from a rectangular aperture, of height and width D, and Dy respectively, observed at a distance d is I(a,y)- I, sine ine D ad Ad ' (4.3-6) where I,(D, Du/Ad)2I, is the peak intensity and sinc(xin(a)/() Verify that the first zeros of this pattern occur at diffracted light is given by -Ad/D, and y- ŁAd/Dy, so that the angular divergence of the (4.3-7) If DyくD,, the...
The magnetic field in a plane monochromatic electromagnetic wave with wavelength A = 445 nm, propagating in a vacuum in the 2-direction is described by B=(Bj sin(kz - wt)(i+1) where 8, = 8.6 X 10ºT, and 1-hat and juhat are the unit vectors in the *x and +y directions, respectively. 1) What is k, the wavenumber of this wave? m Submit 2) What is max, the distance along the positive z-axis to the position where the magnitude of the magnetic...