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Can one make a laser out of cardboard? (CROSBI ID 666367)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Burdzy, Krzysztof ; Tadić, Tvrtko Can one make a laser out of cardboard? // 1141st AMS Meeting Program. American Mathematical Society (AMS), 2018. str. 88-89

Podaci o odgovornosti

Burdzy, Krzysztof ; Tadić, Tvrtko

engleski

Can one make a laser out of cardboard?

We consider two dimensional and higher dimensional semi-infinite tubes made of ”Lambertian” material, so that the distribution of the direction of a reflected light ray has the density proportional to the cosine of the angle with the normal vector. If the light source is far away from the opening of the tube then the exiting rays are (approximately) collimated in two dimensions but are not collimated in higher dimensions. Using the properties of the arccosine distribution we are able to analyze the tail of the movement in the direction of the higher dimensional tube and to obtain asymptotic results on the exiting properties for these high dimensions. Further, an observer looking into the higher dimensional tube will see ”infinitely bright” spot at the center of vision. In other words, in high dimensions, the light brightness grows to infinity near the center as the light source moves away.

random reflections, stopped random walks

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o prilogu

88-89.

2018.

objavljeno

Podaci o matičnoj publikaciji

1141st AMS Meeting Program

American Mathematical Society (AMS)

Podaci o skupu

AMS Fall Eastern Sectional Meeting

pozvano predavanje

29.09.2018-30.09.2018

Newark (DE), Sjedinjene Američke Države

Povezanost rada

Povezane osobe




Matematika

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