###### Abstract  
The demand for versatility and finer resolution drives phased array radars to develop towards multi-band operating. However, the bandwidth limitations of conventional electronic devices make multi-band manipulation of frequency and phase rather challenging. This paper introduces a joint phase-frequency distribution manipulation method. By introducing a time delay line after optical pulses, the frequency conversion and phase shift are tightly coupled. Then, the phase-frequency-time mapping for multi-band signals in a single phased array system is established. The generation, transmission, and reception of multi-band signals are simultaneously achieved. Our approach enables multi-band frequency conversion and phase shifting in a single hardware framework, ensuring synchronization and coherence across multiple bands. We experimentally demonstrate the generation, frequency conversion, and phase control of signals across four bands (S, X, Ku, and K). Beamforming and data fusion of four-band linear frequency-modulated signals with a total bandwidth of 4 GHz are achieved, resulting in a four-fold improvement in range resolution. It is also verified that the number of bands and total bandwidth can be further expanded through channel interleaving. p 20  
bandwidth limitations of RF devices such as power amplifiers, mixers, and phase shifters, the realization of multi-band phased array radars presents significant challenges. In multi-band phased array radar systems, the generation, transmission, and reception of signals from different frequency bands should be simultaneous. This is crucial for multi-band beamforming and data fusion. It means the phase and frequency across multiple frequency bands must be accurately controlled while maintaining precise phase relationships and synchronization. Traditional methods rely on dedicated hardware for each frequency band [18; 19; 20; 21], which restricts accurate phase and frequency control across multiple bands. This limitation compromises synchronization and coherence, leading to impaired beamforming, diminished detection accuracy, and reduced radar performance [2; 3; 4]. Addressing these challenges is essential for advancing multi-band phased array radar systems. Microwave photonics have demonstrated significant potential for overcoming bandwidth limitations in next-generation multi-band phased array radar systems, leveraging advantages such as large bandwidth, low transmission loss, and multi-dimensional multiplexing [22; 23]. For example, photonics-based frequency conversion techniques, such as optical heterodyning and optical frequency multiplication, enable wideband signal generation and reception across multiple frequency bands, overcoming the bandwidth limitations of traditional RF components [2; 3; 4; 5; 6]. Additionally, optical true time delay (OTTD) techniques provide a solution for wideband phase control by establishing a phase-time mapping relationship, allowing for simultaneous phase adjustment over a wide bandwidth [22; 23; 24; 25; 26; 27; 28]. Although OTTD enables wideband phase adjustment, it lacks the capability for frequency conversion, restricting its utility in multi-band scenarios. Similarly, generating multi-band signals through optical heterodyning and optical frequency multiplication excel in broadband signal transmission and reception but fail to provide precise multi-band phase control for effective beamforming. This limitation restricts their applicability in phased array systems. As a result, the simultaneous manipulation of both phase and frequency across multiple intervals remains a significant challenge. This underscores the need for innovative approaches that unify phase control and frequency conversion within a single framework. This paper proposes a joint phase-frequency distribution manipulation method for multi-band phased array radars based on optical pulses.