Structural design of two-mode optical fiber is investigated. It is clarified theoretically that the operating

-value V
0with zero group delay time difference

between the LP
01and LP
11modes is extended to the quasi-two-mode region above the cutoff

-value of the next higher order LP
21mode. The optimum operating

-value

is numerically determined to be 6.45 with the optimum index profile parameter

for

percent. It is also shown theoretically that an index depression at the core center increases

due to the

-value deviation from V
0, and that V
0becomes smaller than that with no central index depression for the same α. A low-loss two-mode test fiber designed for operating in the 1.3 μm wavelength region is prepared: the core diameter is 21μm with

and

percent, and the test fiber has a precisely controlled graded-index profile with a small central index depression. Experimental results show that the two-mode propagation is maintained in the quasi-two-mode spectral region. Furthermore, small

characteristics against

-value deviation

from V
0are verified experimentally. It is also shown that the two-mode test fiber has about two times larger tolerance for the misalignment at a splice than a step-index single-mode fiber.