(21) Propagation-invariant fractal beams
¡¡¡¡¡¡Technical Digest of Fifth Finland-Japan
Joint Symposium on Optics in Engineering, pp.G3, 2003-8
It is known that propagation-invariant or nondiffracting waves can be generated
using several types of optical systems such as one involving an annular
aperture of small width illuminated by a coherent plane wave. In this case,
a Bessel beam of order zero, the most fundamental propagation-invariant
beam, appears in the region behind a lens placed in the focal distance from
the annular aperture. More complicated propagation-invariant waves or beams
are generated by modulating the transmittance of the annular aperture. It
is shown in this report that propagation-invariant beams with regular fractal
property can be produced by employing fractal functions as the modulation
function.