Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Electrical & Electronics Expert

problem1.   Derive that the complex amplitude of double convex lens shown below in the image with focal length

1/f = (n - 1)(1/R1 - 1/R2) . Hint: we derived a Plano convex lens in class.

937_convex lens.jpg

problem2.  Show that when a plane wave is transmitted throughout a thin lens of focal length f in the direction parallel to the optical axis of the lens, it’s converted in a paraboloid wave (the Fresnel approximation of a spherical wave) centred about a point at a distance f from the lens.

2309_lens.jpg

problem3.  A spherical wave is reflected towards a planar mirror sufficiently far from the wave origin so that the Fresnel approximation is satisfied.  By regarding spherical wave locally as a plane wave with slowly varying direction, use the law of reflection of plane wave to determine the nature of the reflected wave.

problem4.  Consider a thin transparent plate whose thickness d(x,y) is a square (instead of a sinusoidal) periodic function of x of period Λ=λ.  Show that the angle θ between the diffracted waves is still given by θ = λ/Λ.  If a plane wave is incident in a direction normal to grating, find out the amplitude of the dissimilar diffracted plane waves.

problem5.  Show that a pulsed spherical wave has a complex wave function of the form U(r,t) = (1/r)a(t-r/c) where a(t) is an arbitrary function.  An ultra short optical pulse has a complex wave function with a central frequency corresponding to a wavelength λ0 = 585nm and a Gaussian envelope of rms width σ 1 = 6fs.  How many cycles are contained within the pulse width?  If the pulse propagates in free space as a spherical wave initiated at the origin at t = 0, describe the spatial distribution of the intensity as a function of the radial distance at time t = 1ps.

Electrical & Electronics, Engineering

  • Category:- Electrical & Electronics
  • Reference No.:- M91238

Have any Question? 


Related Questions in Electrical & Electronics

Problem 1 an amplifier is observed to have an output noise

Problem 1: An amplifier is observed to have an output noise rms-voltage of 1.0 μV. If the noise bandwidth is 25 kHz, determine the noise spectral density of the amplifier. Problem 2: A piezeoresistive sensor has a therma ...

1 what is a uniform plane wave2 why is the study of uniform

1. What is a uniform plane wave? 2. Why is the study of uniform plane waves important? 3. How is the surface current density vector defined? Distinguish it from the volume current density vector. 4. How do you find the c ...

The rate of shear work per unit volume is given by the

The rate of shear work per unit volume is given by the product tv. For a parabolic velocity profile in a circular tube (see given Example), determine the distance from the wall at which the shear work is maximum. Example ...

1 a synchronous alternator is supplying 09 pu power to the

(1) A synchronous alternator is supplying 0.9 p.u. power to the grid when a temporary three-phase short occurs on the interconnector. The power angle curves are:- Pre-fault = 2.0 sin(delta) During fault = 0.5 sin(delta) ...

1 distinguish between bound electrons and free electrons in

1. Distinguish between bound electrons and free electrons in an atom. 2. Briefly describe the phenomenon of conduction. 3. State Ohms' law applicable at a point. How is it taken into account in Maxwell's equations? 4. Br ...

1 use the additive cipher with k 10 to encrypt the

1. Use the additive cipher with k = 10 to encrypt the plaintext "book". Then decrypt the message to get the original plaintext. 2. Encrypt the message "this is an exercise" using additive cipher with key = 20. Ignore the ...

1 state gauss law for the electric field2 how is volume

1. State Gauss' law for the electric field. 2. How is volume charge density defined? 3. State the law of conservation of charge. 4. How is Gauss' law for the electric field derived from Ampere's circuital law?

1 discuss the physical phenomena associated with each of

1. Discuss the physical phenomena associated with each of the elements in the transmissionline equivalent circuit. 2. What is a transverse electromagnetic wave? 3. What is a field map? Describe the procedure for drawing ...

A discuss asymptotic and bibo stabilities for the systems

a. Discuss asymptotic and BIBO stabilities for the systems described by the following transfer functions assuming that the systems are controllable and observable: b. Repeat part (a) for systems described by the followin ...

Consider the complementary-bjt class b output stage and

Consider the complementary-BJT class B output stage and neglect the effects of finite VBE and VCEsat. For ±10-V power supplies and an 8 ohm load resistance, what is the maximum sine-wave output power available? What supp ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro