A method of using an integrated intraluminal imaging system includes an optical coherence tomography interferometer (OCT), an ultrasound subsystem (US) and a phase resolved acoustic radiation force optical coherence elastography subsystem (PR-RAF-OCE). The steps include performing OCT to generate a returned optical signal, performing US imaging to generate a returned ultrasound signal, performing PR-ARF-OCE to generate a returned PR-ARF-OCE signal by generating a amplitude modulated ultrasound beam or chirped amplitude modulated ultrasound beam to frequency sweep the acoustic radiation force, measuring the ARF induced tissue displacement using phase resolved OCT method, and the frequency dependence of the PR-ARF-OCE signal, processing the returned optical signal, the returned ultrasound signal and the measured frequency dependence of the returned PR-ARF-OCE optical coherence elastographic signal to quantitatively measure the mechanical properties of the identified tissues with both spectral and spatial resolution using enhanced materials response at mechanically resonant frequencies to distinguish tissues with varying stiffness, to identify tissues with different biomechanical properties and to measure structural and mechanical properties simultaneously.