Utilizing the Shift-or-Shrink Algorithm to Optimize the Direct Coupling from Laser Diodes to Diffused Channel Waveguides

Chung, Cheng-Hsiao; Chien, Chien-Hui; Wu, Yi-Xuan; Hung, Chun-Ming; Lee, Keh-Yi

doi:10.1590/2179-10742021v20i21108

Acessibilidade / Reportar erro

Brasil

Journal of Microwaves, Optoelectronics and Electromagnetic Applications

Español English

Brasil

Español English

sumário « anterior atual seguinte »

Sumário

Article • J. Microw. Optoelectron. Electromagn. Appl. 20 (2) • June 2021 • https://doi.org/10.1590/2179-10742021v20i21108 copy

Utilizing the Shift-or-Shrink Algorithm to Optimize the Direct Coupling from Laser Diodes to Diffused Channel Waveguides

Authorship SCIMAGO INSTITUTIONS RANKINGS

Abstract

Several formulae for computing the direct coupling efficiencies from laser diodes to diffused channel waveguides, based on mathematic models for approximating the corresponding laser beams and the waveguiding modes, have been derived in this paper. Then, the authors utilize a simple shift-or-shrink (SOS) algorithm to seek their optimal coupling conditions, including the incident positions of the laser beams and the corresponding horizontal and vertical beam widths. The simulation results are presented and compared.

Index Terms
Direct coupling efficiency; laser diodes; diffused channel waveguides; algorithm

Optimal direct coupling efficiencies from LD's EG beams to Type-1 waveguiding modes obtained by ( 4a )
a ₁	a ₂	a ₃	b	*w_x*	*w_y*	c	η
5.10	2.10	4.60	3.10	5.10	3.35	4.11	98.41%
5.00	2.10	5.00	3.00	5.00	3.55	4.17	98.09%
4.60	2.10	3.80	2.80	4.60	2.95	3.48	99.05%
3.50	2.10	2.00	2.71	3.50	2.05	2.67	99.99%

Optimal direct coupling efficiency from LD's EG beam to Type-2 waveguiding mode obtained by ( 5a )
*s_x*	*s_y*	$s_{y} / \sqrt{2}$	*w_x*	*w_y*	c	η
4.414	4.217	2.982	4.414	2.723	3.389	98.23%

Optimal direct coupling efficiencies from LD's GL beams to Type-1 waveguiding modes obtained by ( 6a )
a ₁	a ₂	a ₃	b	*w_x*	*w_y*	c	η
5.10	2.10	4.60	3.10	5.10	2.89	3.96	95.53%
5.00	2.10	5.00	3.00	5.00	3.07	4.00	95.22%
4.60	2.10	3.80	2.80	4.60	2.54	3.37	96.17%
3.50	2.10	2.00	2.71	3.50	1.76	2.66	97.17%

Optimal direct coupling efficiency from LD's GL beam to Type-2 waveguiding mode obtained by ( 7a )
*s_x*	*s_y*	$s_{y} / \sqrt{2}$	*w_x*	*w_y*	c	η
4.414	4.217	2.982	4.414	2.371	3.300	94.88%
(a)

Optimal direct coupling efficiencies from LD's EG beams to Type-1 waveguiding modes obtained by ( 4b )
a ₂	a ₃	b	*w_y*	c	η
2.10	4.60	3.10	3.35	4.11	98.41%
2.10	5.00	3.00	3.55	4.17	98.09%
2.10	3.80	2.80	2.95	3.48	99.05%
2.10	2.00	2.71	2.05	2.67	99.99%

Optimal direct coupling efficiency from LD's EG beam to Type-2 waveguiding mode obtained by ( 5b )
*s_y*	$s_{y} / \sqrt{2}$	*w_y*	c	η
4.217	2.982	2.723	3.389	98.23%

Optimal direct coupling efficiencies from LD's EG beams to Type-1 waveguiding modes obtained by ( 6b )
a ₂	a ₃	b	*w_y*	c	η
2.10	4.60	3.10	2.89	3.96	95.53%
2.10	5.00	3.00	3.07	4.00	95.22%
2.10	3.80	2.80	2.54	3.37	96.17%
2.10	2.00	2.71	1.76	2.66	97.17%

Optimal direct coupling efficiency from LD's GL beam to Type-2 waveguiding mode obtained by ( 7b )
*s_y*	$s_{y} / \sqrt{2}$	*w_y*	c	η
4.217	2.982	2.371	3.300	94.88%
(b)

LD's EG beams coupled to Type-1 waveguiding modes	LD's GL beams coupled to Type-1 waveguiding modes
Time ratio of optimizing (4b)/optimizing (4a)	Time ratio of optimizing (6b)/optimizing (6a)
0.702 (average)	0.669 (average)

LD's EG beam coupled to Type-2 waveguiding mode	LD's GL beam coupled to Type-2 waveguiding mode
Time ratio of optimizing (5b)/optimizing (5a)	Time ratio of optimizing (7b)/optimizing (7a)
0.554	0.632

Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo Praça Mauá, n°1, 09580-900 São Caetano do Sul - S. Paulo/Brasil, Tel./Fax: (55 11) 4238 8988 - São Caetano do Sul - SP - Brazil
E-mail: editor_jmoe@sbmo.org.br

Acompanhe os números deste periódico no seu leitor de RSS