Operator Function Method in the Problem of Normal Waves in an Inhomogeneous Waveguide

2018 ◽  
Vol 54 (9) ◽  
pp. 1168-1179 ◽  
Author(s):  
Yu. G. Smirnov ◽  
E. Yu. Smol’kin
Keyword(s):  
Function Method ◽  
Operator Function ◽  
Inhomogeneous Waveguide ◽  
Normal Waves

scholarly journals MATHEMATICAL THEORY OF NORMAL WAVES IN AN OPEN METAL-DIELECTRIC REGULAR WAVEGUIDE OF ARBITRARY CROSS SECTION

2020 ◽  
Vol 25 (3) ◽  
pp. 391-408
Author(s):  
Eugene Smolkin ◽  
Yury Smirnov
Keyword(s):  
Electromagnetic Field ◽  
Cross Section ◽  
Variational Formulation ◽  
Mathematical Theory ◽  
Operator Function ◽  
Arbitrary Cross Section ◽  
Characteristic Numbers ◽  
Normal Waves ◽  
Regular Waveguide ◽  
Boundary Eigenvalue

The problem of normal waves in an open metal-dielectric regular waveguide of arbitrary cross-section is considered. This problem is reduced to the boundary eigenvalue problem for longitudinal components of electromagnetic field in Sobolev spaces. To find the solution, we use the variational formulation of the problem. The variational problem is reduced to study of an operator-function. Discreteness of the spectrum is proved and distribution of the characteristic numbers of the operatorfunction on the complex plane is found.

THE ATOMISTIC GREEN'S FUNCTION METHOD FOR INTERFACIAL PHONON TRANSPORT

2014 ◽  
Vol 17 (N/A) ◽  
pp. 89-145 ◽  
Author(s):  
Sridhar Sadasivam ◽  
Yuhang Che ◽  
Zhen Huang ◽  
Liang Chen ◽  
Satish Kumar ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Phonon Transport ◽  
Green’S Function Method

Investigation of Some Heat Conductivity Problems by the R-Function Method

2002 ◽  
Vol 58 (5-6) ◽  
pp. 46
Author(s):  
Natal'ya Dmitrievna Sizova ◽  
Victor Filippovich Kravchenko
Keyword(s):  
Heat Conductivity ◽  
Function Method
Sign in / Sign up

Export Citation Format

Share Document