Japan is not behind China on building jet engines. Are you kidding?
They've been building turbo fans since the early 80s.
http://www.ihi.co.jp/ihi/products/products_02-e.html
http://en.wikipedia.org/wiki/Ishikawajima-Harima_F3
XF3-400
Soon after IHI began working on the XF-3, they began developing a more powerful variant of the engine as a technology demonstrator for a theoretical supersonic fighter. This engine was designated the XF3-400. It was designed to be a higher performance, afterburning version of the XF-3, producing around 7,600 lbf (34 kN) of thrust. One distinctive quality of this engine was that it was to have a thrust-to-weight ratio of 7:1, higher than any similarly sized engine.[6]
Work on this engine began in earnest in 1986, and a demonstrator engine was built and tested in 1987. IHI was formally awarded a contract for the engine in 1992, after spending the previous years developing and testing the engine internally.[6]
The primary difference between the XF3-400 and the standard F3-30 is the inclusion of an afterburner. Adding the afterburner is the primary reason why the maximum thrust of the -400 is much higher than the -30. Other changes included compressor and turbine blades that were aerodynamically optimized using 3D computational fluid dynamics techniques, and improved temperature performance in the high pressure turbine.[6]
A 1998 report revealed that thrust vectoring was also being integrated into the XF3-400.[7]
Design
The F3 is two shaft (or two spool) low-bypass turbofan. It features a two stage fan (low pressure compressor) on the low pressure shaft, followed by a five stage high pressure compressor on the high pressure shaft. The engine uses an annular combustor, which feeds a single stage high pressure turbine followed by a single stage low pressure turbine. The XF3-400 variant includes an afterburner after the low pressure turbine, the production F3 does not.[6]
The two stage fan uses wide chord blades, and both the production F3 and the advanced XF3-400 use the same fan.[3][6] Unlike the fan, the five stage compressor differs between the F3 and the XF3-400, with the advanced XF3-400 benefiting from 3D computational fluid dynamics (CFD) improvements.[6]
The high pressure turbine blades are single crystal blades, and they are cooled by a thin film of air from inside of the blades. The low pressure turbine blades, like the high pressure compressor were improved between the F3 and the XF3-400 using 3D CFD.[6]
Both the F3 and the XF3-400 use a FADEC for engine control.[6]
Besides this indigenous engine, they manufacture the GE F110 turbofan engine, so trust me, they are not behind the Chinese.
Also, they make commercial jet engines of all types. Here is Honda's entry for the private business jet:
Ahttp://www.geae.com/aboutgeae/presscenter/gehonda/gehonda_20080728.html