Abstract
The  rapidly  expanding  research  on  photonic  crystals  is  driven  by  potential  applications  in  all-optical  switches,  optical  computers,  low-threshold  lasers,  and  holographic  data  storage.  The  performance  of  such  devices  might  surpass  the  speed  of  traditional  electronics  by  several  orders  of  magnitude  and  may  result  in  a  true  revolution  in  nanotechnology.  The  
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                                                                                                    heart  of  such  devices  would  likely  be  an  optical  switching  element.  This  thesis  analyzes  different  regimes  of  ultrafast  all-optical  switching  in  various  three-dimensional  photonic  crystals,  in  particular  opals  filled  with  silicon  or  vanadium  dioxide  and  periodic  arrays  of  silica-gold  core-shell  spherical  particles  with  silica  outer  shell.  
In  the  experiment  an  ultrashort  optical  pulse  is  used  to  excite  a  photonic  crystal  and  change  its  complex  effective  dielectric  constant.  The  change  in  the  imaginary  part  of  the  dielectric  constant  corresponds  to  the  change  in  absorption  that  suppresses  interference  inside  the  photonic  crystal  and  modifies  the  amplitude  of  the  reflectivity,  while  the  change  in  the  real  part  of  the  dielectric  constant  accounts  for  a  shift  in  a  spectral  position  of  the  photonic  stop  band.
The  first  type  of  switching  is  shown  on  an  example  of  an  opal  filled  with  silicon.  In  this  crystal,  switching  is  induced  by  photo-excited  carriers  in  silicon  that  act  as  an  electron  plasma  and  increase  the  absorption  in  silicon.  Within  30  fs  constructive  interference  inside  the  opal  vanishes  and  Bragg  reflectivity  drops  down.  Changes  in  reflectivity  reach  values  as  high  as  46%  at  maximum  excitation  power.  The  experimental  results  are  in  a  good  agreement  with  calculations.
The  second  type  of  switching  is  demonstrated  in  opal  filled  with  vanadium  dioxide.  Here,  the  optical  switching  is  driven  by  a  photoinduced  phase  transition  of  vanadium  dioxide.  The  phase  transition  takes  place  on  a  subpicosecond  time  scale  and  changes  the  effective  dielectric  constant  of  the  opal.  As  a  result,  the  spectral  position  of  the  photonic  stop  band  shifts  to  the  blue  leading  to  large  (up  to  35%)  changes  in  the  reflectivity.  
Metallo-dielectric  photonic  crystals  give  even  more  possibilities  for  the  band-tuning,  since  in  addition  to  the  resonance  for  light  they  posses  surface  plasmon  resonances.  The  interplay  of  these  resonances  leads  to  unusual  optical  phenomena.  As  an  example,  reflected  light  produces  an  unexpected  beaming  in  the  apexes  of  a  hexagon  with  a  divergence  angle  of  8,  in  our  sample.  This  angle  is  too  small  to  be  attributed  to  a  simple  diffraction  on  the  periodic  lattice  of  core-shells  but  can  be  explained  by  interference  between  surface  plasmons  and  propagating  surface  waves.  Time-resolved  spectra  demonstrate  rapid  changes  immediately  after  the  arrival  of  the  pump  pulse.  Ultrafast  reflection  changes  are  dramatically  enhanced  by  the  plasmon  resonances,  and  can  reach  values  as  high  as  35%.
A  completely  different  mechanism  for  ultrafast  switching  is  explored,  based  on  the  excitation  of  coherent  acoustic  radial  vibrations  of  the  gold  spheres.  This  results  in  a  4%  modulation  of  the  reflectivity  on  a  subnanosecond  timescale.  The  observed  oscillation  properties  of  our  gold-shell  spheres  are  in  excellent  agreement  with  the  calculations.  
The  described  results  show  that  the  demonstrated  dynamical  changes  in  the  reflectivity  of  a  three-dimensional  photonic  crystal  can  be  made  both  large  and  ultrafast  and  therefore  may  prove  to  be  relevant  for  future  applications. 
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