A Four-Frequency Mode Converter With Small Output Angle Variation for a Step-Tunable Gyrotron

Liao, Shaolin; Vernon, R.J.; Neilson, Jeff

doi:10.1142/9789812814647_0068

Cited by 10 publications

(8 citation statements)

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“…Following the pioneering theoretical work by El-Ganainy et al [21], the feasibility of translating this quantum-inspired symmetry to the optics regime has been demonstrated in a various contributions and, specifically, in coupled optical structures [22][23][24][25][26][27]. Later, it has also been demonstrated in the electromagnetic and acoustic systems [28,29], whose governing Helmholtz equation [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47] is similar to the Schrödinger equation in the quantum physics. These PT-symmetric wave systems are usually realized by introducing the spatial distribution of balanced gain-loss profiles.…”

Section: Introductionmentioning

confidence: 99%

Rigorous Quantum Formulation of Parity-Time Symmetric Coupled Resonators

Liao¹,

Ou²

2020

PIER M

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Rigorous quantum formulation of the Parity-Time (PT) symmetry phenomenon in the RF/microwave regime for a pair of coil resonators with lump elements has been presented. The coil resonator is described by the lump-element model that consists of an inductor (L), a resistor (R), and a capacitor (C). Rigorous quantum Hamiltonian for the coupled RLC coil resonators system has been derived through twice basis transforms of the original basis. The first basis transform rotates the original basis such that off-diagonal terms of the governing matrix of the equation system of the coupled coil resonators is reduced to constants. Then a second basis transform obtains the quantum Hamiltonian, including the diagonal effective complex frequencies and off-diagonal coupling terms, together with the transformed basis. With the obtained quantum Hamiltonian, the eigenvalues and eigenvectors of the coupled coil resonators can be obtained as usual as the quantum Hamiltonian. Finally, numerical simulation verifies the correctness of the theory. The quantum formulation of the coupled coil resonators can provide better guideline to design a better PT-symmetric system.

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Section: Introductionmentioning

confidence: 99%

Rigorous Quantum Formulation of Parity-Time Symmetric Coupled Resonators

Liao¹,

Ou²

2020

PIER M

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“…The PO image approximation can find important applications in antennas design and analysis [20,21], beam-shaping [6,9,10,11,12,13,14,15], and Radar Cross Section (RCS) calculation [22,23]. In particular, the author's group has applied the PO method to design a beam-shaping mirrors system at the millimeterwave regime to shape the multi-mode TE waves (TE [6,9,10,11,12].…”

Section: Introductionmentioning

confidence: 99%

IPO: Iterative Physical Optics Image Approximation

Liao,

2020

Preprint

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An improved Iterative Physical Optics (IPO) image approximation method has been presented to dramatically increase the accuracy of the approximation and extend its applicability to PEC surfaces with smaller radii or larger curvatures. Starting from the first-order conventional PO image approximation, the IPO image approximation method iteratively correct the surface current to compensate the deviation of the electric field boundary condition on the PEC surfaces, making use of the local plane wave approximation. Numerical validations with two popular PEC surfaces, i.e., the parabolic dish antennas and the PEC spheres, are carried out and the results show that the IPO approximation method increases the surface current accuracy by more than two orders of magnitude, compared to the conventional PO image approximation method.

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“…The PEC mirror phase corrector is essential to shape the input beam from the QO mode converter (launcher) into the desired Fundamental Gaussian Beam (FGB) in the sub-THz highpower gyrotron [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20]. Figure 1 shows the diagram of such beam-shaping mirror system, in which the 4 pieces of PEC mirrors (M 1 , M 2 , M 3 and M 4 ) serve as the phase correctors, aiming at shaping the input beam from the QO launcher into the desired FGB output beam.…”

Section: Introductionmentioning

confidence: 99%

Beam-shaping PEC Mirror Phase Corrector Design

Liao¹

2007

PIERS Online

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The Perfect Electric Conductor (PEC) mirror phase corrector plays an important role in the beam-shaping mirror system design for Quasi-Optical (QO) mode converter (launcher) in the sub-THz high-power gyrotron. In this article, both the Geometry Optical (GO) method and the phase gradient method have been presented for the PEC mirror phase corrector design. The advantages and disadvantages are discussed for both methods. An efficient algorithm has been proposed for the phase gradient method.

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A Four-Frequency Mode Converter With Small Output Angle Variation for a Step-Tunable Gyrotron

Cited by 10 publications

References 0 publications

Rigorous Quantum Formulation of Parity-Time Symmetric Coupled Resonators

Rigorous Quantum Formulation of Parity-Time Symmetric Coupled Resonators

IPO: Iterative Physical Optics Image Approximation

Beam-shaping PEC Mirror Phase Corrector Design

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