Analytic solution to field distribution in two-dimensional inhomogeneous waveguides

被引：17

作者：

Gric, T. ^{[1
,2
,3
]}

Eldlio, M. ^{[1
]}

Cada, M. ^{[1
,2
]}

Pistora, J. ^{[2
]}

机构：

[1] Dalhousie Univ, Dept Elect & Comp Engn, Halifax, NS, Canada

[2] Tech Univ Ostrava, Nanotechnol Ctr, Ostrava, Czech Republic

[3] Lithuania Acad Sci, Inst Semicond Phys, Ctr Phys Sci & Technol, LT-232600 Vilnius, Lithuania

来源：

JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS | 2015年 / 29卷 / 08期

基金：

加拿大自然科学与工程研究理事会;

关键词：

wave propagation; electric field; inhomogeneous waveguide; inhomogeneous optical media; ELECTROMAGNETIC-WAVES; LINE SOURCE; PROPAGATION; EQUATION; DISPERSION;

D O I：

10.1080/09205071.2015.1034327

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We present a novel theoretical approach for analytically solving wave propagation through two-dimensional (2D) inhomogeneous slab waveguides. The validity and reliability of our analytical approach is verified by its application to electrical field distribution in 2D waveguides, when compared with numerically exact solution. The main advantage of this theoretical treatment is that the obtained solution is global and can be presented in an analytical form. The effects of the refractive index profile on the guided modes are analyzed by introducing the field distributions of the guided modes. Our analytical calculations show significant potential for use in various applications.

引用

页码：1068 / 1081

页数：14

共 40 条

[1] FIELDS OF AN ELECTRIC LINE SOURCE PARALLEL TO AN INHOMOGENEOUS DIELECTRIC LAYER WITH CRITICAL-COUPLING REGIONS [J].

BAHAR, E ;

GOVINDARAJAN, G ;

AGRAWAL, BS .

RADIO SCIENCE, 1975, 10 (02) :197-204

[2]

Budden K. G., 1961, Radio Waves Ionosphere

[3]

Cada M, 2001, IJMOT, V6, P2

[4] RADIATION FROM A LINE SOURCE NEAR AN INHOMOGENEOUS LAYER [J].

CASEY, KF .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1973, AP21 (05) :640-648

[5] A VARIABLE ORDER RUNGE-KUTTA METHOD FOR INITIAL-VALUE PROBLEMS WITH RAPIDLY VARYING RIGHT-HAND SIDES [J].

CASH, JR ;

KARP, AH .

ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1990, 16 (03) :201-222

[6]

Chen HC, 1984, THEORY ELECTROMAGNET

[7]

Choy TC, 1999, EFFECTIVE MEDIUM THE

[8] MODES IN 2-D BURIED OPTICAL-WAVEGUIDE WITH ASYMMETRIC GRADED REFRACTIVE-INDEX PROFILE [J].

DAIKOKU, K .

APPLIED OPTICS, 1979, 18 (04) :501-505

[9] Improved differential-transfer-matrix method for inhomogeneous one-dimensional photonic crystals [J].

Eghlidi, Mohammad Hadi ;

Mehrany, Khashayar ;

Rashidian, Bizhan .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2006, 23 (07) :1451-1459

[10]

Frisch U., 1968, Probabilistic Methods in Applied Mathematics, V1, P75

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