Luận án đặt mục tiêu nghiên cứu cơ bản về xây dựng mô hình vật lý, đề xuất cấu trúc, tính toán và mô phỏng linh kiện lưỡng trạng thái quang ổn định sử dụng cấu trúc PhCs 1D và 2D. Ảnh hưởng của cấu hình và các tham số cấu trúc PhCs lên đặc tính và hiệu năng làm việc của linh kiện lưỡng trạng thái quang ổn định sẽ được nghiên cứu một cách có hệ thống.
BỘ GIÁO DỤC VÀ ĐÀO TẠO VIỆN HÀN LÂM KHOA HỌC VÀ CÔNG NGHỆ VIỆT NAM HỌC VIỆN KHOA HỌC VÀ CƠNG NGHỆ -*** - Hồng Thu Trang NGHIÊN CỨU, THIẾT KẾ CẤU TRÚC TINH THỂ QUANG TỬ 1D VÀ 2D ỨNG DỤNG CHO LINH KIỆN LƯỠNG TRẠNG THÁI ỔN ĐỊNH LUẬN ÁN TIẾN SĨ KHOA HỌC VẬT LIỆU Hà Nội - 2020 BỘ GIÁO DỤC VÀ ĐÀO TẠO VIỆN HÀN LÂM KHOA HỌC VÀ CÔNG NGHỆ VIỆT NAM HỌC VIỆN KHOA HỌC VÀ CÔNG NGHỆ -*** - Hoàng Thu Trang NGHIÊN CỨU, THIẾT KẾ CẤU TRÚC TINH THỂ QUANG TỬ 1D VÀ 2D ỨNG DỤNG CHO LINH KIỆN LƯỠNG TRẠNG THÁI ỔN ĐỊNH Chuyên ngành: Vật liệu quang học, quang điện tử quang tử Mã số: 9.44.01.27 LUẬN ÁN TIẾN SĨ KHOA HỌC VẬT LIỆU NGƯỜI HƯỚNG DẪN KHOA HỌC: PGS.TS Ngô Quang Minh GS.TS Arnan Mitchell Hà Nội - 2020 i LỜI CAM ĐOAN Tôi xin cam đoan cơng trình nghiên cứu tơi, hướng dẫn PGS.TS Ngô Quang Minh GS.TS Arnan Mitchell Các số liệu, kết nêu luận án trung thực chưa công bố công trình khác NGHIÊN CỨU SINH HỒNG THU TRANG ii LỜI CẢM ƠN Trước tiên, xin bày tỏ lời cảm ơn sâu sắc hướng dẫn tận tình hai thầy giáo hướng dẫn: PGS.TS Ngô Quang Minh GS.TS Arnan Mitchell Các thầy ln tận tình hướng dẫn, định hướng kịp thời tạo điều kiện thuận lợi để tơi hồn thành luận án Tơi xin cảm ơn giúp đỡ khích lệ GS.TS Vũ Đình Lãm, TS Lê Quang Khải dành cho năm qua Tôi xin chân thành cảm ơn cộng tác giúp đỡ anh chị đồng nghiệp Phòng Vật liệu Ứng dụng Quang sợi, Viện Khoa học Vật liệu, Viện Hàn lâm Khoa học Công nghệ Việt Nam, nơi tơi hồn thành luận án Tơi xin trân trọng cảm ơn giúp đỡ tạo điều kiện thuận lợi sở đào tạo Học viện Khoa học Công nghệ Viện Khoa học Vật liệu – Viện Hàn lâm Khoa học Công nghệ Việt Nam, quan mà tơi cơng tác, q trình thực luận án Sau cùng, muốn gửi lời cảm ơn tới người thân gia đình bạn bè động viên, giúp đỡ tạo điều kiện để tơi hồn thành luận án NGHIÊN CỨU SINH HOÀNG THU TRANG iii MỤC LỤC Trang LỜI CAM ĐOAN i LỜI CẢM ƠN ii MỤC LỤC iii Danh mục chữ viết tắt vii Danh mục ký hiệu ix Danh mục hình vẽ, đồ thị x Danh mục bảng xix MỞ ĐẦU CHƯƠNG TỔNG QUAN 1.1 Cấu trúc tinh thể quang tử 1.1.1 Tổng quan cấu trúc tinh thể quang tử 1.1.2 Cấu trúc tinh thể quang tử chiều cách tử dẫn sóng 1.1.2.1 Khái niệm cấu trúc tinh thể quang tử chiều 1.1.2.2 Giản đồ vùng cấm quang 1.1.2.3 Buồng cộng hưởng 10 1.1.2.4 Cấu trúc cách tử dẫn sóng 11 1.1.3 Cấu trúc tinh thể quang tử hai chiều 13 1.1.3.1 Khái niệm 13 1.1.3.2 Vùng Brillouin 13 1.1.3.3 Mode dẫn sóng: điện trường ngang (TE) từ trường ngang (TM) 14 1.1.3.4 Giản đồ lượng 15 iv 1.1.3.5 Giam giữ ánh sáng cấu trúc tinh thể quang tử hai chiều 16 1.1.4 Ứng dụng cấu trúc tinh thể quang tử 23 1.2 Linh kiện lưỡng trạng thái quang ổn định 27 1.2.1 Khái niệm chung chuyển mạch quang 27 1.2.2 Nguyên lý lưỡng ổn định quang học 28 1.2.3 Ứng dụng linh kiện lưỡng trạng thái quang ổn định 31 1.3 Kết luận chương 32 CHƯƠNG PHƯƠNG PHÁP TÍNH TỐN VÀ MƠ PHỎNG 33 2.1 Lý thuyết ghép cặp mode theo thời gian 33 2.2 Phương pháp khai triển sóng phẳng 37 2.3 Phương pháp đạo hàm hữu hạn miền thời gian 41 2.4 Kết luận chương 50 CHƯƠNG TỐI ƯU HÓA HỆ SỐ PHẨM CHẤT VÀ PHỔ CỘNG HƯỞNG CỦA CẤU TRÚC CÁCH TỬ DẪN SÓNG 3.1 Cộng hưởng dẫn sóng cấu trúc cách tử lý thuyết dẫn sóng cộng hưởng 52 52 3.1.1 Cộng hưởng dẫn sóng cấu trúc cách tử 52 3.1.2 Lý thuyết dẫn sóng cộng hưởng 54 3.2 Cộng hưởng bất đối xứng dạng Fano 57 3.2.1 Cơ sở lý thuyết 57 3.2.2 Cộng hưởng dạng Fano cấu trúc quang tử 59 3.3 Tối ưu hóa hệ số phẩm chất phổ cộng hưởng cấu trúc cách tử dẫn sóng 3.3.1 Cấu trúc đơn cách tử dẫn sóng kết hợp với màng mỏng kim loại 62 64 v 3.3.1.1 Đặc trưng phản xạ màng mỏng kim loại cấu trúc đơn cách tử dẫn sóng 3.3.1.2 Đặc trưng cộng hưởng cấu trúc đơn cách tử dẫn sóng nhờ có mặt hiệu ứng cộng hưởng plasmon bề mặt 64 66 3.3.2 Cấu trúc ghép hai đơn cách tử dẫn sóng 69 3.3.3 Cấu trúc cách tử dẫn sóng dựa màng mỏng đa lớp 72 3.4 Kết luận chương 76 CHƯƠNG LƯỠNG TRẠNG THÁI QUANG ỔN ĐỊNH TRONG CẤU TRÚC CÁCH TỬ DẪN SÓNG 4.1 Lưỡng trạng thái quang ổn định cấu trúc cách tử dẫn sóng kết hợp với màng mỏng kim loại 78 78 4.1.1 Hiệu ứng tăng cường phản xạ màng mỏng kim loại 78 4.1.2 Hiệu ứng cộng hưởng plasmon bề mặt 81 4.2 Lưỡng trạng thái quang ổn định cấu trúc ghép hai đơn cách tử dẫn sóng 4.3 Lưỡng trạng thái quang ổn định cấu trúc cách tử dẫn sóng dựa màng mỏng đa lớp 4.4 Kết luận chương 83 87 89 CHƯƠNG LƯỠNG TRẠNG THÁI QUANG ỔN ĐỊNH DỰA TRÊN SỰ TƯƠNG TÁC GIỮA CỘNG HƯỞNG VÀ DẪN SÓNG KHE HẸP 91 TRONG CẤU TRÚC TINH THỂ QUANG TỬ HAI CHIỀU 5.1 Linh kiện quang tử cấu trúc tinh thể quang tử hai chiều vật liệu silic 91 5.1.1 Vật liệu quang tử silic 91 5.1.2 Sự cần thiết vật liệu lai silic hữu 96 5.2 Kênh dẫn sóng buồng cộng hưởng dạng khe hẹp 97 5.2.1 Kênh dẫn sóng dạng khe hẹp 97 5.2.2 Buồng cộng hưởng dạng khe hẹp 101 vi 5.2.2.1 Thể tích mode cộng hưởng 101 5.2.2.2 Buồng cộng hưởng dạng khe hẹp 102 5.3 Sự tương tác buồng cộng hưởng kênh dẫn sóng dạng khe hẹp 104 5.3.1 Cấu trúc ghép trực tiếp nhiều buồng cộng hưởng qua kênh dẫn sóng dạng khe hẹp 105 5.3.1.1 Mơ hình lý thuyết 105 5.3.1.2 Kết mơ 107 5.3.2 Cấu trúc ghép gián tiếp nhiều buồng cộng hưởng qua kênh dẫn sóng dạng khe hẹp 110 5.3.2.1 Mơ hình lý thuyết 110 5.3.2.2 Kết mơ 114 5.4 Lưỡng trạng thái quang ổn định 116 5.5 Kết luận chương 118 KẾT LUẬN CHUNG 119 HƯỚNG NGHIÊN CỨU TIẾP THEO 121 DANH MỤC CÁC CƠNG TRÌNH CƠNG BỐ CỦA LUẬN ÁN 122 TÀI LIỆU THAM KHẢO 124 vii DANH MỤC CÁC CHỮ VIẾT TẮT Tiếng Anh Auxiliary Differential Equation Available Highly Effective Boundary Conditions Carbon Nanotubes Complementary Metal Oxide Semiconductor Chữ viết tắt Tiếng Việt ADE Phương trình vi phân phụ trợ ABCs Biên hấp thụ CNTs Ống nano bon CMOS Công nghệ CMOS Lý thuyết ghép cặp mode theo Coupled Mode Theory in Time CMT Cross Phase Modulation XPM Điều biến pha chéo Distributed Bragg Reflectors DBR Gương phản xạ Bragg Figure of Merit FOM Hệ số phẩm chất Finite-Difference Time-Domain FDTD Four Wave Mixing FWM Trộn bốn bước sóng Free Carrier Absorption FCA Hiệu ứng hấp thụ hạt tải tự FWHM Bán độ rộng phổ cộng hưởng Full-Width at Half-Maximum One Dimensional 1D thời gian Đạo hàm hữu hạn miền thời gian Một 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CHƯƠNG TỔNG QUAN 1.1 Cấu trúc tinh thể quang tử 1.1.1 Tổng quan cấu trúc tinh thể quang tử 1.1.2 Cấu trúc tinh thể quang tử chiều cách tử dẫn sóng 1.1.2.1 Khái niệm cấu trúc tinh thể quang tử chiều... DỤC VÀ ĐÀO TẠO VIỆN HÀN LÂM KHOA HỌC VÀ CÔNG NGHỆ VIỆT NAM HỌC VIỆN KHOA HỌC VÀ CƠNG NGHỆ -*** - Hồng Thu Trang NGHIÊN CỨU, THIẾT KẾ CẤU TRÚC TINH THỂ QUANG TỬ 1D VÀ 2D ỨNG DỤNG CHO LINH KIỆN... Giam giữ ánh sáng cấu trúc tinh thể quang tử hai chiều 16 1.1.4 Ứng dụng cấu trúc tinh thể quang tử 23 1.2 Linh kiện lưỡng trạng thái quang ổn định 27 1.2.1 Khái niệm chung chuyển mạch quang 27