Find the Fraunhofer diffraction pattern for two infinite (in the y-direction) slits separated by a distance...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Find the Fraunhofer diffraction pattern for two infinite (in the y-direction) slits separated by a distance D from each other and with width d along the x-axis. By making them infinite in one dimension, we have reduced the algebra to 1 integral over x. By slit, I mean that they transmit 100% for light inside d and 0% for light outside of d. Plot the result for a=400nm and 600nm. Note that -ik eikz U(ro) = ds, U(§,n)e¬xf+yn) 2n z Becomes just the sum of an integral over the left slit and an integral over the right slit where in each case, U(},n) is replace by the constant E, and U(ro) is now replaced with E(ro): D,d -ik eikz (x²+y²) dž e D d 2 2 E(r.) = Eo dž e D d 2 2 2n z Show that the result is 4ikd eikz +ix²+y²) Eo sinc- kxd kxD E(ro) = cos- 2n z 2z 2z Below is plotted the intensity spectrum (arbitrary units for intensity) as a function of x on a 2z distant screen. The distance D is taken to be 10x the slit width, d. The x-axis is in units of kd (sin(x)) cos(10x)) y= Find the Fraunhofer diffraction pattern for two infinite (in the y-direction) slits separated by a distance D from each other and with width d along the x-axis. By making them infinite in one dimension, we have reduced the algebra to 1 integral over x. By slit, I mean that they transmit 100% for light inside d and 0% for light outside of d. Plot the result for a=400nm and 600nm. Note that -ik eikz U(ro) = ds, U(§,n)e¬xf+yn) 2n z Becomes just the sum of an integral over the left slit and an integral over the right slit where in each case, U(},n) is replace by the constant E, and U(ro) is now replaced with E(ro): D,d -ik eikz (x²+y²) dž e D d 2 2 E(r.) = Eo dž e D d 2 2 2n z Show that the result is 4ikd eikz +ix²+y²) Eo sinc- kxd kxD E(ro) = cos- 2n z 2z 2z Below is plotted the intensity spectrum (arbitrary units for intensity) as a function of x on a 2z distant screen. The distance D is taken to be 10x the slit width, d. The x-axis is in units of kd (sin(x)) cos(10x)) y=
Expert Answer:
Answer rating: 100% (QA)
Answer Explanation Cewen tuet Distraction patlern for isht dif fralled by two ... View the full answer
Related Book For
Posted Date:
Students also viewed these accounting questions
-
The intensity of light in the Fraunhofer diffraction pattern of a single slit is I = I0 (sin /) 2 where = a sin / (a) Show that the equation for the values of -y at which I is a maximum is tan-y =...
-
Two long, parallel wires are separated by a distance of 0.400 m (Fig). The currents I, and 12 have the directions shown. (a) Calculate the magnitude of the force exerted by each wire on a 1.20-m...
-
Two converging lenses, separated by a distance of 50.0 cm, are used in combination. The first lens, located to the left, has a focal length of 15.0 cm. The second lens, located to the right, has a...
-
You are the manager of a large car dealership. At present, you rely on a large pool of dealers to sell your product, but you have noticed recently that consumer opinion appears to be turning away...
-
Return to the facts of problem 35. In the next year, Janet has a taxable income from her salary and investment activities of $62,000. The results for her three passive activities are Passive activity...
-
The HELP partnership has the following capital balances as of the end of the current year: Lennon . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . $230,000 McCartney . . . . . . ....
-
(MIRR) For the question above, what is the modified IRR (MIRR) of the project assuming the reinvestment or financing rate is also the discount rate (10%)?
-
1. How does Gandhi describe the religion that underlies all religions? 2. What is Gandhis argument for his belief in the goodness of God? Is his argument persuasive? 3. What does Gandhi mean when he...
-
Question Three ( 2 5 marks ) Orange Unlimited entered into a contract with Fruits Ltd on 1 January 2 0 2 3 , whereby Fruits Ltd will lease a machine for a period of four years. The cash selling price...
-
Jamie Lee and Ross, now 57 and still very active, have plenty of time on their hands now that the triplets are away at college. They both realized that time has just flown by; over twenty-four years...
-
Analyze the genetic basis of neurodegenerative disorders, focusing on the role of protein misfolding, aggregation, and proteostasis dysfunction in conditions such as Alzheimer's and Parkinson's...
-
In January, Gloria Kan, CEO of Kan Enterprises, sat in her corner office overlooking Hong Kong harbour, puzzling over the group's most recent acquisition, Maple Products ("MP"). This business, which...
-
4.Prepare las siguientes entradas: a.Co X hizo una Venta a una afiliada (Z) por bienes $50,000 a un costo de $32,000. Co Z recibi el inventario. Co Z no vendi el inventario al final del periodo....
-
West Side Deli is a local family-owned restaurant that has built up a reputation of providing high quality lunches to its customers.Cassandra has been able to effective use the multiproduct...
-
What are the implications of allostasis and allostatic load in the context of homeostasis, and how do these concepts expand our understanding of the physiological impact of chronic stress and...
-
Marine transportation is the oldest and most important mode of moving people and goods for travel and commerce. This has been especially the case in the development of Canada as a trading nation. The...
-
Dr. Wong administers a performance appraisal measure to an employee twice. Which type of reliability is she able to assess? Group of answer choices Construct Test-retest Inter-rater Similarity
-
Calculate the electrical conductivity of a fiber-reinforced polyethylene part that is reinforced with 20 vol % of continuous, aligned nickel fibers.
-
A person fishing from a pier observes that four wave crests pass by in 7.0 s and estimates the distance between two successive crests to be 4.0 m. The timing starts with the first crest and ends with...
-
Two samples contain different radioactive isotopes. Is it possible for these samples to have the same activity? (a) Yes, if they have the same number of nuclei but different half-lives. (b) Yes, if...
-
At a location near the equator, the earth's magnetic field is horizontal and points north. An electron is moving vertically upward from the ground. What is the direction of the magnetic force that...
-
Using the information for Obras, Inc., in SE 4, SE 5, and SE 7, compute the cash flow yield, cash flows to sales, cash flows to assets, and free cash flow for 20x6 and 20x7. Net cash flows from...
-
Using the information for Obras, Inc., in SE 4, SE 5, and SE 9, compute the price/earnings (P/E) ratio and dividends yield for 20x6 and 20x7. The company had 10,000 shares of common stock outstanding...
-
Errors in Ending Inventory} From time to time, business news will report that the management of a company has misstated its profits by knowingly establishing an incorrect amount for its ending...
Study smarter with the SolutionInn App