Problem 44372. Polarisation

Created by Jan Orwat

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>You have n polarising filters stacked one on top of another, and you know each axis angle. How much light gets passed through the filter bank? For more information, see</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Polarizer\"><w:r><w:t>Polarizer (Wikipedia)</w:t></w:r></w:hyperlink><w:r><w:t>.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[    >> n = [0, 90];\n    >> polarised([0, 90])\n\n    ans = 0]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

850 Solutions
231 Solvers

Last Solution submitted on Feb 25, 2021

Last 200 Solutions

Problem Comments

6 Comments

6 Comments

Show 3 older comments

margreet docter on 18 Oct 2017

two filters with orthoganol orientation 0 & 90 degrees block all light. The last solution tests x = 5 + (1:5)*22.5; which is a filter set with two orthogonal filters. How come not all light is blocked for that case?

Alfonso Nieto-Castanon on 18 Oct 2017

@margreet: that is a good question, indeed. The following minutePhysics video talks about that: "Bell's Theorem: The Quantum Venn Diagram Paradox" https://www.youtube.com/watch?v=zcqZHYo7ONs

Nabor Reyna Jr. on 12 Nov 2017

Thank you @Alfonso for the link it really helped me understand a bit more on the topic of stacked filters.

Could some one help point me in the direction to understand the last 2 test cases?

I currently have a solution that is correct for all the test cases except the last 2. Is there something special for these cases that would be causing me to be not quite converge. I am currently not meeting the tolerance, the difference of my result and the assertion test are:

9. 0.0019000
10. 0.056585

Thanks in advance.

margreet docter on 14 Nov 2017

@Alfonsi: thanks.
[0,45,90] is also a nice test (instead of twice the randi solution)

@Nabor: also have a look at the law of Malus (http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/polcross.html), mind the difference between amplitude and intensity.

margreet docter on 14 Nov 2017

besides law of Malus (http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/polcross.html), also have a look at what happens to a third polarizing filter (http://alienryderflex.com/polarizer/)

Rafael S.T. Vieira on 2 Jul 2020

Tip: In this problem, the first polarizer is always equated to 0.5 (since I_0 = 1 and the light comes from all directions): we should calculate the integral of the function cos(x)^2 from 0 to 2pi divided by 2pi (Mean Value Theorem). The remainder is Malus's Law.

Problem Recent Solvers231

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 44372. Polarisation

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers231

Suggested Problems

More from this Author41

Problem Tags

Community Treasure Hunt

Problem 44372. Polarisation

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers231

Suggested Problems

More from this Author41

Problem Tags

Community Treasure Hunt

Players