Boundary-Value Problem for the Adjoint Helmholtz Equation

Raevskii A. S.; Raevskii S. B.

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Boundary-Value Problem for the Adjoint Helmholtz Equation

机译：伴随亥姆霍兹方程的边值问题

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摘要

On the basis of the boundary-value problem for the adjoint Helmholtz equation, it is demonstrated that guiding structures can support improper waves attached to a source of the type of a traveling-wave antenna. The boundary-value problem is suggested to be self-consistent because its formulation incorporates the reverse influence of the field on the source.

机译：基于伴随的亥姆霍兹方程的边值问题，证明了导向结构可以支撑附着在行波天线类型的源上的不适当的波。边界值问题被认为是自洽的，因为其表述考虑了场对源的反向影响。

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《NTT R&D》 |2016年第3期|243-245|共3页
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Raevskii A. S.; Raevskii S. B.;
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Alekseev State Tech Univ, Ul Munina 243, Nizhnii Novgorod 603950, Russia;

Alekseev State Tech Univ, Ul Munina 243, Nizhnii Novgorod 603950, Russia;

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1. SOLUTIONS OF BOUNDARY-VALUE PROBLEMS FOR THE HELMHOLTZ EQUATION IN SIMPLY CONNECTED DOMAINS OF THE COMPLEX PLANE [J] . M. A. Sukhorolsky Journal of Mathematical Sciences . 2018,第1期

机译：复杂平面简单连通域中的亥姆霍兹方程的边值问题解
2. Boundary-Value Problems for the Helmholtz Equation for a Half-Plane with a Lipschitz Inclusion [J] . E. K. Lipachev Lobachevskii journal of mathematics . 2018,第5期

机译：用Lipschitz夹杂物的半平面亥姆霍兹方程的边值问题
3. BOUNDARY-VALUE PROBLEMS FOR THE HELMHOLTZ EQUATION IN DOMAINS OF THE COMPLEX PLANE [J] . Sukhorolskyi M. A. Ukrainian mathematical journal . 2016,第3期

机译：复杂平面域中的亥姆霍兹方程的边值问题
4. Symbolic-Numerical Solution of Boundary-Value Problems with Self-adjoint Second-Order Differential Equation Using the Finite Element Method with Interpolation Hermite Polynomials [C] . Alexander A. Gusev, Ochbadrakh Chuluunbaatar, Sergue I. Vinitsky, International workshop on computer algebra in scientific computing . 2014

机译：具有内插Hermite多项式的有限元方法与自伴二阶微分方程边值问题的符号-数值解
5. On the Riemann-Hilbert Approach to the Numerical Solution of Boundary-Value Problems for Evolution Partial Differential Equations [D] . Yang, Xin. 2021

机译：关于riemann-hilbert对演化部分微分方程的边值问题数值解的方法
6. Linear Parabolic Differential Equations of Arbitrary Order; General Boundary-Value Problems for Elliptic Equations [O] . Felix E. Browder 1953

机译：任意阶线性抛物线方程椭圆方程的一般边值问题
7. Inverse boundary-value problem for the equation of longitudinal wave propagation with non-self-adjoint boundary conditions [O] . Elvin Azizbayov, Yashar Mehraliyev 2019

机译：具有非自行伴随边界条件的纵向波传播方程的逆边值问题
8. Generalized Exterior Boundary-Value Problems and Optimization for the Helmholtz Equation. [R] . Angell, T. S., Kleinman, R. E. 1982

机译：Helmholtz方程的广义外边值问题及其优化。

Boundary-Value Problem for the Adjoint Helmholtz Equation

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