Pregled bibliografske jedinice broj: 957908
Can one make a laser out of cardboard?
Can one make a laser out of cardboard? // 1141st AMS Meeting Program
Newark (DE), Sjedinjene Američke Države: American Mathematical Society (AMS), 2018. str. 88-89 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 957908 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Can one make a laser out of cardboard?
Autori
Burdzy, Krzysztof ; Tadić, Tvrtko
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
1141st AMS Meeting Program
/ - : American Mathematical Society (AMS), 2018, 88-89
Skup
AMS Fall Eastern Sectional Meeting
Mjesto i datum
Newark (DE), Sjedinjene Američke Države, 29.09.2018. - 30.09.2018
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
random reflections, stopped random walks
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
