Does 1130 have a dedicated search radar? I noticed that the LIG Korean CIWS-2 concept has mini panels on the corner of the body
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No. The "search" is typically supplied by the Type 364 surface search radar, that round bulb dome you see on the aft mast above the funnel of the Type 054A, the top mast of the 052C/D, and two are located on the Liaoning and Shandong on top of the island. Its also on the Type 071 and 901, and refitted to the Pr 956EM and the 051B.
But on the 055, the Type 364's surface search function is embedded on the X-band MFR that's on the integrated mast. So there is no Type 364 radar on this ship. If you see 003's island, there are both S and X-band radars, which are likely to be inherited from the 055, and so the upper located X-band radars should also serve as the search radars for the CIWS. In addition to that, the Fujian no longer has the two Type 349 used as landing radars, so we have to assume the X-band AESA has also taken over the landing radar function.
On the Type 075, the Type 364's function is replaced by a dual faced rotating AESA on the second mast, which I believe is the Type 368.
The advantage of having a centralized dedicated surface search radar is that this radar has a much greater range, at least 60km to possibly 100km, compared to the tiny search radar on the CIWS. In addition the SSR can be located much higher on the ship to give it a maximum radar horizon, hence why the Type 364 is located at the highest part of the ship its on. This is also why these radars are crucial to the overall defense of the ship, given they have a higher radar horizon than the main search radars embedded on the island or superstructure. This gives an earlier warning when the sea skimming antiship missile pops over the radar horizon.
Removing the search radar off the CIWS, allows the 730/1130 to have a full and independent axis EO with different spectrums and zoom. lengths. If the CIWS has an EO, its usually fixed to the same direction as the gun, so the entire CIWS has to swing around and point to the target for the EO to track it. Having the EO on a separate axis means the EO can independent track a target on a direction different from the gun, and the EO can undertake its own search with it, which can help in heavy interference environments and low RCS targets.
The search radar on the CIWS is where the PLAN choose to differ from other countries' CIWS. Even the Goalkeeper that is alleged where the 730/1130 are inspired from, uses a dedicated search radar in the form of a rotating linear array like a typical ship navigation radar.