Optical wave evolution due to interaction with elastic wave in a phoxonic crystal slab waveguide

Abstract

Phoxonic crystal as a means of guiding and confining electromagnetic and elastic waves has already attracted attentions. Lack of exact knowledge on how these two types of waves interact inside this crystal and how electromagnetic wave evolves through this interaction has increased this field complexity. Here we explain how an elastic wave affects an electromagnetic wave through photo-elasticity and interface displacement mechanisms in a phoxonic crystal slab waveguide. We obtain a master equation which can describe electromagnetic wave evolution. In this equation we define a coupling parameter and calculate its value for different modes of electromagnetic and elastic waves and show it vanishes for some types of modes . Finally we solve the master equation for a typical phoxonic crystal slab waveguide and illustrate the electromagnetic wave evolution.

Higher‐Order Interactions in Quantum Optomechanics: Revisiting Theoretical Foundations

“…The optomechanical interaction ℍ OM is inherently nonlinear by its nature, which is quite analogous to the third-order Kerr optical effect in nonlinear optics [6,7]. These for instance include the optomechanical arrays [8][9][10][11][12][13][14][15][16][17], squeezing of phonon states [18][19][20], Heisenberg's limited measurements [21], non-reciprocal optomechanical systems [22][23][24][25][26][27][28], sensing [29][30][31], engineered dissipation [32], engineered states [33], and non-reciprocal acousto-optical effects in optomechanical crystals [34][35][36].…”

Operator approach in nonlinear stochastic open quantum physics

“…This becomes more clear by noticing that = ℎ = 0, and hence for a system with only one electromagnetic radiation mode, (52) becomes ̈ = − 2 + −2 ̇ 2 , with = 1 . This is while Law's expression (54)…”

“…The optomechanical interaction ℍ OM is inherently nonlinear by its nature, which is quite analogous to the third-order Kerr optical effect in nonlinear optics [25,26]. These for instance include the optomechanical arrays [27][28][29][30][31][32][33][34][35][36], squeezing of phonon states [37][38][39], Heisenberg's limited measurements [40], non-reciprocal optomechanical systems [41][42][43][44][45][46], sensing [47][48][49], engineered dissipation [50], engineered states [51], and non-reciprocal acousto-optical effects in optomechanical crystals [52][53][54].…”

“…Under a rather idealistic case of when an infinite number of optical modes are involved in optomechanical interaction, and both summations are let to extend into infinity, it would be possible to demonstrate that (57) and ( 59) are actually the same. For this to occur, we need first to show (52) and (54) are the same representations of the same identities, too. This is not too difficult to prove, indeed.…”

Acousto-optical coupling in two-dimensional air-slot phoxonic crystal heterostructure cavity

“…Phoxonic crystals can serve as promising platform for enhancing the acousto-optic interaction in micro-and nano-structures [2][3][4][5]. They can be directly designed as acousto-optical dual-function device, such as waveguide [6][7][8][9][10], sensor [11][12][13][14], opti-cal switch [15] etc., and they can also be used in quantum communication or quantum computing [16,17]. In 2006, MALDOVAN [18] proved theoretically for the first time that two-dimensional periodic structures can generate photonic and phononic band gaps at the same time.…”