About Omics Group

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About Omics Group

• OMICS Group International through its Open Access
  Initiative is committed to make genuine and
  reliable contributions to the scientific
  community. OMICS Group hosts over 400
  leading-edge peer reviewed Open Access Journals
  and organize over 300 International Conferences
  annually all over the world. OMICS Publishing
  Group journals have over 3 million readers and
  the fame and success of the same can be
  attributed to the strong editorial board which
  contains over 30000 eminent personalities that
  ensure a rapid, quality and quick review process. 

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About Omics Group conferences

• OMICS Group signed an agreement with more than
  1000 International Societies to make healthcare
  information Open Access. OMICS Group Conferences
  make the perfect platform for global networking
  as it brings together renowned speakers and
  scientists across the globe to a most exciting
  and memorable scientific event filled with much
  enlightening interactive sessions, world class
  exhibitions and poster presentations
• Omics group has organised 500 conferences,
  workshops and national symposium across the major
  cities including SanFrancisco,Omaha,Orlado,Rayleig
  h,SantaClara,Chicago,Philadelphia,Unitedkingdom,Ba
  ltimore,SanAntanio,Dubai,Hyderabad,Bangaluru and
  Mumbai.

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Mechanical Effects of Light Radiation Pressure,
Photon Momentum, and the Lorentz Force Law

• Masud Mansuripur
• College of Optical Sciences, University of
  Arizona, Tucson

Lasers, Optics Photonics Conference,
Philadelphia, Pennsylvania, September 8, 2014
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Radiation pressure is (partially) responsible for
the tails of the comets pointing away from the Sun
First suggested by Johannes Kepler in his
treatise De Cometis. According to this
hypothesis the solar ray pressure is responsible
for the deflection of the comet tails. Although
the observed deflections could not be explained
solely on the basis of light pressure, this
hypothesis played a significant role in
understanding the effect of light pressure in the
universe.
2/14
5
Einstein Box Thought Experiment
Time of flight L/c Recoil velocity - p/M Box
displacement - (p/M)(L/c)
Center-of-mass displacement (E /c2)L M
(p/M)(L/c) 0
p E /c
3/14
6
Radiation Pressure on Dielectric Wedge
At Brewsters angle of incidence, where tanqB
n, reflectance of the surface for p-polarized
light is exactly zero.
4/14
7
Optical tweezers
The first optical traps were built by Arthur
Ashkin at ATT Bell Labs in 1970. "Levitation
traps" used the upward-pointing radiation
pressure to balance the downward pull of gravity,
whereas "two-beam traps" relied on
counter-propagating beams to trap particles.
Then, in 1986, Ashkin and colleagues realized
that the gradient force alone would be sufficient
to trap small particles. They used a single
tightly focused laser beam to trap a transparent
particle in three dimensions.
5/14
8
Circularly-polarized light passing through a
half-wave plate
Birefringent crystal (transparent)
6/14
9
Collimated beam of light passing through a
transparent spiral ramp
Emergent beam has (orbital) angular momentum
7/14
10
Spin and Orbital Angular Momentum
Circularly polarized beam of light
8/14
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Feynman Lectures on Physics (Vol. II)
9/14
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f q (E V ? B)
10/14
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Charge-Dipole Paradox
In the rest frame x'y'z' there is neither force
nor torque acting on either particle.
11/14
14
The Einstein-Laub Force and Torque Density
Equations
Albert Einstein (1879-1955)
In the rest frame x'y'z', and also in the moving
frame xyz, there is neither force nor torque
acting on either particle.
12/14
15
13/14
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Foundations of Classical Electrodynamics

1. There is more to Maxwells macroscopic equations
   than meets the eye. Take them seriously. Make
   them the starting point of every investigation in
   classical electrodynamics.
2. The most important thing you will need to know
   about EM energy is that the Poynting vector S(r,
   t) E ? H is the rate of flow of energy (per
   unit are per unit time). Everything else about
   energy follows from this postulate in conjunction
   with Maxwells macroscopic equations.
3. Momentum density of EM fields is p(r, t) S/c2.
   This is always true, in vacuum as well as in
   material media, irrespective of the nature of the
   media.
4. Angular momentum density of EM fields is always
   L(r, t) r ? S/c2. This is true of spin as well
   as orbital angular momentum of EM waves.
5. If you use the Lorentz force law f q(E V ?
   B), you will get into trouble you will find that
   momentum is not conserved and special relativity
   is violated. Use the Einstein-Laub law instead!

14/14
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Maxwells macroscopic equations (SI)
James Clerk Maxwell (1831-1879)

• ? ? D  rfree
• ? H  Jfree  ? D/? t
• ? E  - ? B/? t
• ? B  0
• Electric displacement D is related to
  polarization density P
• D  eoE  P  eo(1ce)E  eoe E
• Magnetic induction B is related to
  magnetization density M
• B  moH  M  mo(1cm)H  mom H
• rfree, Jfree, P, and M (r, t) are the sources of
  radiation
• E(r,t) and H(r,t) are the radiated fields

• Exact equations (mathematically).
• No small-scale averaging required.
• Reducible to microscopic equations.

15/14
18
Hidden Momentum
William Shockley (1910-1989)
16/14
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Let Us Meet Again

• We welcome all to our future group conferences of
  Omics group international
• Please visit
• www.omicsgroup.com
• www.Conferenceseries.com
• http//optics.conferenceseries.com/