What are B mode and E mode signals?

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B mode and E mode signals are concepts related to gravitational lensing and dark matter mapping. E-mode signals measure the shear of light from distant sources, reflecting gravitational effects and are curl-free. In contrast, B-mode signals represent noise components that do not correlate with gravitational physics. The term "k" refers to the lensing convergence field, which quantifies the amount of mass causing the lensing effect. Understanding these modes is crucial for interpreting dark matter maps and the underlying physics of the universe.
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I've read an article in nature and found technical words "B mode signal" and "E mode signal". I don't understand what they are. In a website, they say it's like the electromagnetic field line but I'm still not clear.

I also don't understand what k means in " the linear greyscale shows the E-mode lensing convergence field k(Kappa)". I think it's also the technial word.

The article is about the dark matter maps.
 
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I do not know the details but this is known as E-B mode decomposition. Basically the E-mode is a measure of the stretching (shear) of the light source that is weak lensed. This mode is curl free and is generated by gravitational effects. As far as I know the other mode maps, the B-mode maps, are the noise components that cannot be identified with the gravitational physics of the lens.

You may want to read this article about gravitational lensing basics:
http://astro.berkeley.edu/~jcohn/lens.html

And this one about E-B mode decomposition (end of the page):
http://www.lsst.org/Science/Cosmic_Shear.shtml
 
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Thank you very much, Mr Hellfire.

I'll try to search again from those links.
 
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