2023
DOI: 10.1016/j.optcom.2022.128967
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Generation of off-axis phased Gaussian optical array along arbitrary curvilinear arrangement

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Cited by 9 publications
(4 citation statements)
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“…For positive TCs, the intensity and phase gradients have opposite directions, whereas for negative TCs, the directions are the same. [ 55 ] The energy flows are computed as transverse components of the Poynting vector as follows: [ 56 ] 〈〉J=c4πεD×Bnewline=c8πεiωEEEE+2ωk||E2trueez$$\begin{eqnarray} \left\langle {\vec{J}} \right\rangle &=& \frac{c}{{4\pi \varepsilon }}\left\langle {\vec{D} \times \vec{B}} \right\rangle\nonumber\\ &=& \frac{c}{{8\pi \varepsilon }}\left( {i\omega \left( {E{\nabla }_ \bot {E}^* - {E}^*{\nabla }_ \bot E} \right) + 2\omega k{{\left| E \right|}}^2{{\vec{e}}}_z} \right) \end{eqnarray}$$where c denotes the speed of light in vacuum, ε is the permittivity, D$\vec{D}$ and B$\vec{B}$ represent the electric and magnetic fields, respectively, =exx+eyy${\nabla }_ \bot = {\vec{e}}_x\frac{\partial }{{\partial x}} + {\vec{e}}_y\frac{\partial }{{\partial y}}$ is used to calculate the transverse gradient of E , and E${E}^ * $ denotes the complex conjugate beam of E . The energy flow of the HO‐OVL was numerically simulated using Equation (10).…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…For positive TCs, the intensity and phase gradients have opposite directions, whereas for negative TCs, the directions are the same. [ 55 ] The energy flows are computed as transverse components of the Poynting vector as follows: [ 56 ] 〈〉J=c4πεD×Bnewline=c8πεiωEEEE+2ωk||E2trueez$$\begin{eqnarray} \left\langle {\vec{J}} \right\rangle &=& \frac{c}{{4\pi \varepsilon }}\left\langle {\vec{D} \times \vec{B}} \right\rangle\nonumber\\ &=& \frac{c}{{8\pi \varepsilon }}\left( {i\omega \left( {E{\nabla }_ \bot {E}^* - {E}^*{\nabla }_ \bot E} \right) + 2\omega k{{\left| E \right|}}^2{{\vec{e}}}_z} \right) \end{eqnarray}$$where c denotes the speed of light in vacuum, ε is the permittivity, D$\vec{D}$ and B$\vec{B}$ represent the electric and magnetic fields, respectively, =exx+eyy${\nabla }_ \bot = {\vec{e}}_x\frac{\partial }{{\partial x}} + {\vec{e}}_y\frac{\partial }{{\partial y}}$ is used to calculate the transverse gradient of E , and E${E}^ * $ denotes the complex conjugate beam of E . The energy flow of the HO‐OVL was numerically simulated using Equation (10).…”
Section: Resultsmentioning
confidence: 99%
“…For positive TCs, the intensity and phase gradients have opposite directions, whereas for negative TCs, the directions are the same. [55] The energy flows are computed as transverse components of the Poynting vector as follows: [56] ⟨…”
Section: Resultsmentioning
confidence: 99%
“…Recalling the descriptions of beam array [27,[34][35][36], the center of sub-beam of a beam array is set as r x , r y , the CSD of an RPLHGSM beam array composed of N HGCSM sub-beams with radial distributions at source plane z = 0 can be given as:…”
Section: Model Of An Rplhgsm Beam Arraymentioning
confidence: 99%
“…A method is proposed to generate a phased Gaussian optical array by arranging an aperture-bounded Gaussian optical array along arbitrary curves and using a discontinuous phase to form a controllable vortex phase. A complex optical field is constructed by superposing two concentric Gaussian optical arrays [29].…”
Section: Introductionmentioning
confidence: 99%