Analytical design of double-chirped mirrors with custom-tailored dispersion characteristics

被引：101

作者：

Matuschek, N ^{[1
]}

Kärtner, FX ^{[1
]}

Keller, U ^{[1
]}

机构：

[1] ETH Honggerberg, Ultrafast Laser Phys Lab, Inst Quantum Elect, Swiss Fed Inst Technol,HPT E9, CH-8093 Zurich, Switzerland

来源：

IEEE JOURNAL OF QUANTUM ELECTRONICS | 1999年 / 35卷 / 02期

关键词：

chirped mirrors; coatings; coupled-mode analysis; dielectric films; dispersion control; thin-film devices; ultrafast optics; WKB analysis;

D O I：

10.1109/3.740733

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 theory for the analytical design of double-chirped mirrors with special dispersion characteristics. A simple analytical equation takes an arbitrarily desired group delay dispersion (that also includes possible higher order dispersion) as an input function and gives the chirp law as an output, The chirp law determines the local Bragg wavelengths in the mirror. It allows the calculation of the thicknesses of the high-and law-index layers if the double chirp of the layers in the front part of the mirror is taken into account, We use this method to design a highly dispersive double-chirped semiconductor Bragg mirror and a double-chirped TiO2-SiO2 mirror for higher order dispersion compensation in optical parametric oscillators operating in the visible spectral range. The design formulas are applicable to general chirped Bragg gratings and provide insight into the reasons why certain dispersion characteristics might be impossible to achieve.

引用

页码：129 / 137

页数：9

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