Lithium niobate on insulator: an emerging nanophotonic crystal for optimized light control

• Midhun Murali,
• Amit Banerjee and
• Tanmoy Basu

Beilstein J. Nanotechnol. 2024, 15, 1415–1426, doi:10.3762/bjnano.15.114

• approach takes the form Equation 8 [51]: where U(x) and S(x) are the quantities corresponding to the resultant electric field and phase, respectively. The power flow density across the structure also known as the Poynting vector S(x) is proportional to the square of new field intensity and the spatial

Electromagnetic analysis of the lasing thresholds of hybrid plasmon modes of a silver tube nanolaser with active core and active shell

• Denys M. Natarov,
• Trevor M. Benson and
• Alexander I. Nosich

Beilstein J. Nanotechnol. 2019, 10, 294–304, doi:10.3762/bjnano.10.28

• the research reported, e.g., in [35], non-local effects in metallic particles have to be taken into account only if their dimensions become smaller than 3–5 nm. Otherwise one can characterize the complex dielectric permittivity using its bulk value. Complex Poynting theorem for the modes of a

• nanolaser The complex Poynting theorem is the direct consequence of the Green’s formula applied to the functions, which solve the Maxwell equations. In plane-wave scattering, the optical theorem is obtained as the real part of the complex Poynting theorem when it is applied to the total field, i.e., to the

• sum of the incident and scattered field, and its complex conjugate [1]. In the LEP, there is no incident field however the same complex Poynting theorem can be used as well. As shown in [17], if applied to a lasing mode field U and its complex conjugate counterpart U*, its real part, i.e., the optical

Directional light beams by design from electrically driven elliptical slit antennas

• Shuiyan Cao,
• Eric Le Moal,
• Quanbo Jiang,
• Aurélien Drezet,
• Serge Huant,
• Jean-Paul Hugonin,
• Gérald Dujardin and
• Elizabeth Boer-Duchemin

Beilstein J. Nanotechnol. 2018, 9, 2361–2371, doi:10.3762/bjnano.9.221

• of the half width at half maximum along kx. To further describe the emission from an elliptical slit antenna, we now examine the “shape” of the emission lobes as calculated at the vacuum wavelength of λ0 = 700 nm using the method described in [47][48]. In Figure 7a–h, the flux of the Poynting vector

• emitted upward than downward. Figure 8 shows that the flux of the Poynting vector integrated over the lower half space represents only 10–25% of the total radiation (i.e., integrated over 4π sr). Field distribution in the slit Finally, we calculate the theoretical spatial distribution of the square

• upon excitation by a z-oriented oscillating electric dipole located at the focus F(−c,0) of the ellipse. These patterns are calculated at a vacuum wavelength of λ0 = 700 nm for structures 1–8 (see Table 1). Where does the light go? Theoretical calculation of the Poynting vector: ratio of the light flux

Metal–dielectric hybrid nanoantennas for efficient frequency conversion at the anapole mode

• Valerio F. Gili,
• Lavinia Ghirardini,
• Davide Rocco,
• Giuseppe Marino,
• Ivan Favero,
• Iännis Roland,
• Giovanni Pellegrini,
• Lamberto Duò,
• Marco Finazzi,
• Luca Carletti,
• Andrea Locatelli,
• Aristide Lemaître,
• Dragomir Neshev,
• Costantino De Angelis,
• Giuseppe Leo and
• Michele Celebrano

Beilstein J. Nanotechnol. 2018, 9, 2306–2314, doi:10.3762/bjnano.9.215

• surface integral of the Poynting vector normal to an imaginary sphere enclosing the entire structure, and the internal energy defined as the volume integral of the squared electric field inside the cylinder. To gain further insights into this behavior, in Figure 2d (2e) we show the contributions to the

Optimization of the optical coupling in nanowire-based integrated photonic platforms by FDTD simulation

• Nan Guan,
• Andrey Babichev,
• Martin Foldyna,
• Dmitry Denisov,
• François H. Julien and
• Maria Tchernycheva

Beilstein J. Nanotechnol. 2018, 9, 2248–2254, doi:10.3762/bjnano.9.209

• before the end facet of the LED and 1.5 µm after the entrance facet of the detector, respectively). Note that all the transmission values in this paper are calculated automatically by Lumerical software, defined by the normalized integration of the Poynting vector over a defined surface. The coupling

• -component (i.e., pointing along the waveguide from the LED to the detector) of the Poynting vector was analyzed. The distribution of the Poynting vector in the different horizontal layers inside the system and the electric field distribution in the vertical cross-sectional layer in the middle of the

• spectral broadening and poor coherence. Nevertheless, the interference effects present in our FDTD simulations may impact the calculated transmission. We investigated the influence of the interference on the transmission by changing the phase of the wave and found out that the transmission and the Poynting

Excitation of nonradiating magnetic anapole states with azimuthally polarized vector beams

• Aristeidis G. Lamprianidis and
• Andrey E. Miroshnichenko

Beilstein J. Nanotechnol. 2018, 9, 1478–1490, doi:10.3762/bjnano.9.139

• Poynting vector of the incident field over an infinite plane, oriented transverse to the optical axis, we can calculate the total power that such a focused beam carries. It is given by the formula below: where Z0 is the wave impedance of free space. At this point, we would also like to consider the case of

• corresponds to a rotated or translated system of coordinates [39][42]. The total power that is scattered by the particle is given by integrating the flux of the Poynting vector of the scattered field over a spherical surface of infinite radius and is given by the formula: There are several methods in order to

Spin annihilations of and spin sifters for transverse electric and transverse magnetic waves in co- and counter-rotations

• Hyoung-In Lee and
• Jinsik Mok

Beilstein J. Nanotechnol. 2014, 5, 1887–1898, doi:10.3762/bjnano.5.199

• analyze both Poynting-vector flows and orbital and spin parts of the energy flow density for the combined fields. Consequently, we find not only enhancements but also cancellations between the two modes. To our surprise, the photon spins in the azimuthal direction exhibit a complete annihilation for the

• momentum; multiplexing; nanoparticle; orbital; Poynting; spin; trajectory; Introduction Electromagnetic (EM) waves are now fairly well understood at least in terms of angular momentum (AM) and Poynting vector (PV). For instance, the AM of spin-one photons is divisible into the spin and orbital parts [1][2

• in [23]. In particular, the photon spins turn out be quite intriguing [15][20][23]. This paper is organized as follows. Section "Formulation and Fundamentals" describes a problem statement and solutions to such formulations. Section "Poynting Vectors and Trajectories" considers Poynting vectors and