The propagation matrix method and the Maxwell stress tensor are developed to calculate radiation pressure on an inhomogeneous active chiral structure. Based on boundary conditions, a 4 Â 4 propagation matrix connecting two forward and two backward plane waves in adjacent chiral media is derived. This propagation matrix method allows us to access the net, co-and cross-polarized radiation pressure, which are expressed by coand cross-polarized reflection and transmission coefficients, exerted on magnetoelectric coupling inhomogeneous chiral slabs via the derivation of the Maxwell stress tensor for arbitrary polarized plane waves incidence. The accuracies of the methods are examined using the finite difference time domain method and the Lorentz force densities. The radiation pressure on a homogeneous or inhomogeneous active chiral slab affected by the angle of incidence, thickness, chirality parameter, and polarization states of incident waves are investigated. This work is believed to provide insights for detecting chirality parameters of inhomogeneous materials by optical forces.chiral, Maxwell stress tensor, optical forces, propagation matrix method, radiation
| INTRODUCTIONRecently, optical pulling forces have stimulated intense interests in the fields of physics, mechanics, biology, and chemistry. [1][2][3][4][5][6][7][8][9][10][11][12][13] The pulling forces can be realized by using tractor beams or on various medium structures. Some effort has been devoted to studying negative optical forces on chiral structures. [4][5][6][7][8][9][10][11][12] Horai et al. formulated an optical force under electronic resonance to enhance the optical force and realized the separation of nanometer-sized chiral molecules. 4 Wo et al. investigated the optical forces induced by a plane wave on two chiral particles coupling with each other via evanescent near fields by using numerical and analytical methods. 12 Nevertheless, further studies on the complex mechanism of optical forces on inhomogeneous chiral structures are necessary.Chiral media can be classified into natural chiral medium, 14 artificial chiral structures, [15][16][17][18] and effective chiral medium. 19,20 Chiral structures with gain, instead of loss, are called active chiral structures. Though the majority of chiral media are passive, green fluorescent proteins, 14 active chiral metamaterials, 15 and chiral functional polymers, 16 and so forth, might be active chiral media. The Lorentz force density 21 and the Maxwell stress tensor, 22