Optics Answers

 Write the normalized Jones vectors for each of the following waves, and describe completely the state of polarization of each. (a) 𝐸 ⃗ = 𝐸𝑜 cos(𝑘𝑧 − 𝜔𝑡)𝑥 ̂ − 𝐸𝑜 cos(𝑘𝑧 − 𝜔𝑡)𝑦 ̂    
(b) 𝐸 ⃗ = 𝐸𝑜 sin2π(𝑧/lamda − 𝑣𝑡)𝑥 ̂ + 𝐸𝑜 sin2π( 𝑧/lamda − 𝑣𝑡)𝑦 ̂ 

Explain crest and trough.

What is wavefront.

 Show that the Jones matrix representing a linear polarizer whose transmission axis is at an arbitrary angle 𝜃 with respect to the horizontal is given by

 𝑀(𝜃) =(  𝑐𝑜𝑠²𝜃        𝑠𝑖𝑛𝜃𝑐𝑜𝑠𝜃    )          

      𝑠𝑖𝑛𝜃𝑐𝑜𝑠𝜃  𝑠𝑖𝑛²𝜃 

The distance between mirror and an object placed in front of it 1.0m If rages of curvature of the mirror 4.0, the image formed will be

In a laser, the lasing levels are the first excited state and the ground state of the

active medium. If the energy of the first excited state is 1.5eV, calculate the

frequency of the laser light

The radius of the fifth zone of a zone plate is 2 mm. Considering the zone plate as a converging lens, calculate its focal length for light of wavelength 4800 Å

Given that the EM wave has a form of Ex=Eo cos(wt-kz+∅) and it can also be written as Ex=Eo[k(vt-z)+∅] where v=w/k is the velocity.

(a)show that the wave satisfy Maxwell equation

(b)show that v=cuberoot of permeability note,permetivity note permetivity

a number of scientists between the 10th and the 17th centuries (Sahl, Snellius, Descartes) concluded that the following formula should relate the angle of incidence with the angle of refraction. Sini= sinr/n explain?

a number of scientists between the 10th and the 17th centuries (sahl, snellius, descartes) concluded that the following formula should relate the angle of incidence with the angle of refraction. Sini = sinr/n. Explain ?