Differential-transfer-matrix based on airy's functions in analysis of planar optical structures with arbitrary index profiles

被引：15

作者：

Zariean, Nima ^{[1
]}

Sarrafi, Peyman ^{[1
]}

Mehrany, Khashayar ^{[1
]}

Rashidian, Bizhan ^{[1
]}

机构：

[1] Sharif Univ Technol, Sch Elect Engn, Tehran 113658639, Iran

来源：

IEEE JOURNAL OF QUANTUM ELECTRONICS | 2008年 / 44卷 / 3-4期

关键词：

airy functions; differential-transfer-matrix; graded-index profiles; planar waveguide; Wentzel; Kramers; and Brillouin (WKB) method;

D O I：

10.1109/JQE.2007.912469

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：

A novel analytical method for solution of planar optical structure with arbitrary refractive index profile is proposed. This new method is founded on differential-transfer-matrices, whose field solutions are based on Airy's trial functions. In contrast to conventional Wentzel, Kramers, and Brillouin (WKB) solutions, which diverge around the turning points, this approach can be successfully used for exact calculation of various functions, including eigenvalues of optical waveguides with arbitrary index profiles, and complex reflection and transmission coefficients, even at the presence of turning points. The method is rigorous and can be applied for both major polarizations.

引用

页码：324 / 330

页数：7

共 16 条

[1] Legendre polynomial expansion for analysis of linear one-dimensional inhomogeneous optical structures and photonic crystals [J].

Chamanzar, Maysamreza ;

Mehrany, Khashayar ;

Rashidian, Bizhan .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2006, 23 (05) :969-977

[2] General eigenvalue equations for optical planar waveguides with arbitrarily graded-index profiles [J].

Chung, MS ;

Kim, CM .

JOURNAL OF LIGHTWAVE TECHNOLOGY, 2000, 18 (06) :878-885

[3]

EGHLIDI MH, 2005, J OPT SOC AM B, V22

[4]

EGHLIDI MH, 2006, J OPT SOC AM B, V23

[5] NUMERICAL-ANALYSIS OF PLANAR OPTICAL WAVE-GUIDES USING MATRIX APPROACH [J].

GHATAK, AK ;

THYAGARAJAN, K ;

SHENOY, MR .

JOURNAL OF LIGHTWAVE TECHNOLOGY, 1987, 5 (05) :660-667

[6] ACCURATE SOLUTIONS TO SCHRODINGER-EQUATION USING MODIFIED AIRY FUNCTIONS [J].

GHATAK, AK ;

GALLAWA, RL ;

GOYAL, IC .

IEEE JOURNAL OF QUANTUM ELECTRONICS, 1992, 28 (02) :400-404

[7] Planar optical waveguides with arbitrary index profile: An accurate method of analysis [J].

Goyal, IC ;

Jindal, R ;

Ghatak, AK .

JOURNAL OF LIGHTWAVE TECHNOLOGY, 1997, 15 (11) :2179-2182

[8] METHODS OF ANALYZING PLANAR OPTICAL WAVE-GUIDES [J].

GOYAL, IC ;

GALLAWA, RL ;

GHATAK, AK .

OPTICS LETTERS, 1991, 16 (01) :30-32

[9] AN APPROXIMATE SOLUTION TO THE WAVE-EQUATION - REVISITED [J].

GOYAL, IC ;

GALLAWA, RL ;

GHATAK, AK .

JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 1991, 5 (06) :623-636

[10]

Kim CM, 1997, IEEE J QUANTUM ELECT, V33, P1608, DOI 10.1109/3.622643

← 1 2 →