Theoretical and experimental study of electromagnetic forces
induced in one-dimensional photonic crystals
J. E. Lugo
1
, Rafael Doti
1
, Jocelyn Faubert
1
, Noemi Sanchez
1,2
, Javier Sanchez
2
, Martha A. Palomino
3
, M.
Beatriz de la Mora
4
and J. Antonio del Rio
5
1
Visual Psychophysics and Perception Laboratory, School of Optometry, University of Montreal,
C.P. 6128 succ. Centre Ville, Montreal, Quebec, Canada H3C3J7,
2
Instituto Nacional de
Astrofísica, Óptica y Electrónica, Calle Luis Enrique Erro #1. Tonantzintla, Puebla, México.
72000,
3
Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de
Puebla, Av. San Claudio y Río Verde, Col. San Manuel, Puebla, México, 72570,
4
Instituto de
Física, Departamento de Estado Solido, Universidad Nacional Autonoma de Mexico, México, D.
F., México, 04510,
5
Centro de Investigación en Energía, Universidad Nacional Autónoma de
México, Temixco 62580, Morelos, Mexico
We studied theoretically and experimentally the induction of electromagnetic forces in one-dimensional photonic
crystals with localized defects when light impinges transversally to the defect layer. The theoretical calculations
indicate that the electromagnetic forces increases at a certain frequency that coincide with a defect photonic state.
The photonic structure consists of a microcavity like structure formed of two one-dimensional photonic crystals
made of free-standing porous silicon, separated by variable air gap and the working wavelength is 633 nm. The force
generation is made evident by driving a laser light by means of a chopper; the light hits the photonic structure and
induces a vibration and the vibration is characterized by using a very sensitive vibrometer.
Keywords: Electromagnetic force, porous silicon, light propagation, photonic crystals, defect states.
*
eduardo.lugo@gmail.com ; phone 514‐3436111 ext. 1685.
1. INTRODUCTION
The concept of radiation pressure has been used in the past for manipulating micro-objects [1]. For example, optical
tweezers are used to levitate viruses, bacteria, cells, and sub cellular organisms, etc. [2]. The fast development of
electromagnetic wave driven micro motors has motivated several research groups to investigate novel working
principles for such micro motors [3], but there is a main obstacle, normally the radiation pressure is too small for this
kind of applications [4]. Nonetheless some resonance principles can be used to increase the force significantly. For
instance, a waveguide made of lossless dielectric blocks, where the direction of the force exerted on the dielectric is
parallel to the waveguide axis [5, 6]. A second approach is a Bragg waveguide, based on a Fabry-Perot cavity in
which the peak of the force only appears at the structures’ resonant frequencies and the force is normal to the
waveguide wall [7]. However in this design the force tends to separate the two mirrors that form the Fabry-Perot
cavity, having as a consequence a dramatic reduction of the force [4]. A third approach can use a one-dimensional
photonic crystal with structural defects, where a localized mode results in strong electromagnetic fields around the
position of the defect. Thus, the strong fields enhance the tangential and normal force on a lossy dielectric layer [4].
This work is organized as follows: in the first section we describe briefly the theory to induce an electromagnetic
force in the photonic structure. Next, we present the experimental details to fabricate the photonic structure and how
to measure the structure movement, velocity, and acceleration. Then, we present and discuss the results where we
compare the experimental force with the theoretical one. Finally we wrap up the work by giving some conclusions.
Photonics North 2013, Pavel Cheben, Jens Schmid, Caroline Boudoux, Lawrence R. Chen, André Delâge, Siegfried Janz,
Raman Kashyap, David J. Lockwood, Hans-Peter Loock, Zetian Mi, Eds., Proc. of SPIE Vol. 8915,
891519 · © 2013 SPIE · CCC code: 0277-786X/13/$18 · doi: 10.1117/12.2037993
Proc. of SPIE Vol. 8915 891519-1
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