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What is the transmission distance of single-mode optical cable and multimode optical cable?

100BASE-FX single-mode module with single-mode fiber transmission 10-20 km
100BASE-FX multimode module with multimode fiber transmission 2 km 1000BASE-LX with singlemode fiber transmission 5 km 
Multimode fiber for 1000BASE-LX (50um) 550m Multimode fiber for 1000BASE-LX 
( 62.5um) transmission 550m 1000base-SX with multimode fiber (50um) transmission 275m 
1000BASE-SX with multimode fiber (62.5um) transmission 550M 
1000BASE-F: Use one-to-one multimode or singlemode fiber, When using multimode fiber, the distance between the computer and the hub can be up to 300-550m(500m), up to 3km when using single-mode fiber.
Multiple modes of fiber optics are transmitted over a given operating wavelength. According to the distribution of its refractive index, it is divided into mutation type and gradient type. The numerical aperture of ordinary multimode fiber is 0.2±0.02, the core diameter/outer diameter is 50μm/125μnu, and its transmission parameters are bandwidth and loss. Due to the hundreds of modes transmitted in multimode optical fiber, the propagation constant and group rate of each mode are different, so that the bandwidth of the optical fiber is narrow, the dispersion is large, and the loss is also large, which is only suitable for medium and short distance and small capacity optical fiber communication system. 
Multimode fiber allows different modes of light to be transmitted on one fiber, and because of the large core diameter of multimode fiber, cheaper couplers and connectors can be used, and the core diameter of multimode fiber is 50μm to 100μm. 
Main classifications
There are basically two kinds of multimode fibers, one is graded and the other is stepped, for graded fibers, the refraction index of the core is the smallest at the periphery of the core and gradually increases towards the center point, thereby reducing the mode dispersion of the signal, while for the step index cable, the refractive index is basically average unchanged. It is only on the cladding surface that it is suddenly lowered. Stepped fibers generally have lower bandwidth than graded fibers. In network applications, the most popular multimode fiber is 62.5/125, 62.5/125 means that the fiber core diameter is 62.5μm and the cladding diameter is 125μm, and the other more common are 50/125 and 100/140.