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Radar and Antennas

The word “RADAR” is an acronym for Radio Detection And Ranging. It uses electromagnetic (Radio) waves to detect the presence of a target and to determine its distance or range. RADAR operates similarly to the principle of sound-wave reflection. If you shout in the direction of a sound-reflecting object (i.e. hill or cave), you will hear an echo. As the speed of sound in the air is known, you can estimate the distance and general direction of the object. Similarly, RADAR illuminates the target with a microwave RF signal, which gets reflected and picked up by a receiving device. The received electrical signal is called an echo or a return signal. If the echo is from undesired targets (such as the earth), the echo is referred to as clutter. Based on the echo signal, RADAR can estimate the distance, direction, and relative velocity of the target.

There are various categories of RADAR. Based on its operation, it can be designated as surveillance RADAR or tracking RADAR. Surveillance RADAR is designed to provide attack warnings and is characterized by high power output, large antennas, and low frequencies. Tracking RADAR is designed to provide target engagement information and generally has shorter range capability and higher target range / azimuth data accuracy than surveillance RADAR and it operates at higher frequencies.

Based on RF signal used, RADAR can be classified as continuous wave (CW) RADAR and pulse RADAR. Simple CW RADAR cannot indicate the target range but gives better performance in case of stationary target. Compared to CW RADAR, pulse RADAR uses more power but is more accurate in multiple target scenarios.

Basic building blocks for any RADAR system are a transmitter, receiver, antenna, synchronizer, and indicator. The transmitter is responsible for producing the high-power & short duration RF signals which are transmitted by antenna. Returned RF signals from the target (Echo) are amplified and demodulated by the receiver. The indicator is the interface between a complex RADAR system and its user as it displays continuous, easily understandable, graphic symbols of the relative position of targets. The synchronizer is the master timer which coordinates the operation of the entire RADAR system. It triggers the transmitter to initiate transmission of an electromagnetic wave. Simultaneously, it sends a signal to initialize the indicator to display range and azimuth information.

An antenna is a transducer which converts electromagnetic waves into high-frequency electrical voltages and vice versa. Mechanical size of the antenna, inverse to the function of the RF signal frequency, means higher frequency requires smaller mechanical size of antennas and vice versa. Electrical characteristics of any antenna are defined in terms of antenna pattern, gain, beam width, aperture, major/minor lobes, front-to-back lobe ratio, polarization and directivity. These characteristics vary based on the type of antenna used.

In any RADAR System, the antenna plays a major role as it either receives echo signals from the target in the form of electromagnetic energy, or radiates RF signals produced by a transmitter. Usually two types of antennas are used in RADAR systems: parabolic dish antenna and phased array antenna. Phased array antennas are typically used in tracking RADAR, and parabolic antennas are used with surveillance RADAR.

In parabolic dish antenna, there is one circular parabolic reflector and a point source (feed) situated in the focal point of this reflector to produce a pencil beam. An elliptical shape reflector is used to produce a fan beam. To achieve the required pencil beam in azimuth and the squared fan beam in elevation, surveillance radar generally uses two different curvatures - parabolic & elliptical. Phased array antenna contains many radiating elements and each element has its own phase shifter. By shifting the phase of the signal emitted from each radiating element, beams are formed in the desired direction.

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Illuminate\Database\Events\StatementPrepared (1.38ms)
Illuminate\Database\Events\QueryExecuted (9.85ms)
eloquent.retrieved: App\Models\SubjectCat (97μs)
Illuminate\Cache\Events\KeyWritten (509μs)
Illuminate\Cache\Events\CacheHit (268μs)
Illuminate\Cache\Events\CacheHit (211μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (230μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (226μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (270μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (297μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (161μs)
creating: components.tutors-card (732μs)
composing: components.tutors-card (75μs)
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Illuminate\Cache\Events\CacheHit (9.81ms)
Illuminate\Cache\Events\CacheHit (20.31ms)
Illuminate\Cache\Events\CacheHit (1.21ms)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (242μs)
Illuminate\Cache\Events\CacheHit (188μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (163μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (160μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (209μs)
Illuminate\Cache\Events\CacheHit (197μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (255μs)
Illuminate\Cache\Events\CacheHit (208μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (224μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (263μs)
Illuminate\Cache\Events\CacheHit (238μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (175μs)
Illuminate\Cache\Events\CacheHit (216μs)
Illuminate\Cache\Events\CacheHit (268μs)
Illuminate\Cache\Events\CacheHit (214μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (185μs)
Illuminate\Cache\Events\CacheHit (155μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (191μs)
Illuminate\Cache\Events\CacheHit (173μs)
Illuminate\Cache\Events\CacheHit (233μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (192μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (272μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (186μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (156μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (157μs)
Illuminate\Cache\Events\CacheHit (207μs)
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Illuminate\Cache\Events\CacheHit (273μs)
Illuminate\Cache\Events\CacheHit (194μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (213μs)
Illuminate\Cache\Events\CacheHit (396μs)
Illuminate\Cache\Events\CacheHit (298μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (206μs)
Illuminate\Cache\Events\CacheHit (170μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (161μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (198μs)
Illuminate\Cache\Events\CacheHit (165μs)
Illuminate\Cache\Events\CacheHit (193μs)
Illuminate\Cache\Events\CacheHit (168μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (150μs)
Illuminate\Cache\Events\CacheHit (162μs)
Illuminate\Cache\Events\CacheHit (178μs)
Illuminate\Cache\Events\CacheHit (210μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (204μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (234μs)
Illuminate\Cache\Events\CacheHit (184μs)
Illuminate\Cache\Events\CacheHit (199μs)
Illuminate\Cache\Events\CacheHit (177μs)
Illuminate\Cache\Events\CacheHit (200μs)
Illuminate\Cache\Events\CacheHit (174μs)
Illuminate\Cache\Events\CacheHit (202μs)
Illuminate\Cache\Events\CacheHit (169μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (164μs)
Illuminate\Cache\Events\CacheHit (3.6ms)
Illuminate\Cache\Events\CacheHit (421μs)
Illuminate\Cache\Events\CacheHit (187μs)
Illuminate\Cache\Events\CacheHit (4.41ms)
Illuminate\Cache\Events\CacheHit (598μs)
Illuminate\Cache\Events\CacheHit (384μs)
Illuminate\Cache\Events\CacheHit (443μs)
Illuminate\Cache\Events\CacheHit (401μs)
Illuminate\Cache\Events\CacheHit (369μs)
Illuminate\Cache\Events\CacheHit (340μs)
Illuminate\Cache\Events\CacheHit (408μs)
Illuminate\Cache\Events\CacheHit (329μs)
Illuminate\Cache\Events\CacheHit (364μs)
Illuminate\Cache\Events\CacheHit (385μs)
creating: components.tutors-card (1.06ms)
composing: components.tutors-card (67μs)
Illuminate\Database\Events\StatementPrepared (8.39ms)
Illuminate\Database\Events\QueryExecuted (4.67ms)
Illuminate\Cache\Events\CacheMissed (232μs)
Illuminate\Cache\Events\CacheMissed (94μs)
Illuminate\Database\Events\StatementPrepared (6.89ms)
Illuminate\Database\Events\QueryExecuted (2.04ms)
eloquent.retrieved: App\Models\Subject (122μs)
eloquent.retrieved: App\Models\Subject (21μs)
eloquent.retrieved: App\Models\Subject (13μs)
eloquent.retrieved: App\Models\Subject (10μs)
eloquent.retrieved: App\Models\Subject (9μs)
eloquent.retrieved: App\Models\Subject (9μs)
eloquent.retrieved: App\Models\Subject (8μs)
eloquent.retrieved: App\Models\Subject (9μs)
eloquent.retrieved: App\Models\Subject (9μs)
Illuminate\Database\Events\StatementPrepared (715μs)
Illuminate\Database\Events\QueryExecuted (1.18ms)
eloquent.retrieved: App\Models\SubjectCat (105μs)
eloquent.retrieved: App\Models\SubjectCat (20μs)
eloquent.retrieved: App\Models\SubjectCat (12μs)
Illuminate\Cache\Events\KeyWritten (1.64ms)
Illuminate\Cache\Events\KeyWritten (709μs)
Illuminate\Cache\Events\CacheHit (492μs)
Illuminate\Cache\Events\CacheHit (581μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (4.3ms)
Illuminate\Cache\Events\CacheHit (416μs)
Illuminate\Cache\Events\CacheHit (212μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (190μs)
Illuminate\Cache\Events\CacheHit (154μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (172μs)
Illuminate\Cache\Events\CacheHit (183μs)
Illuminate\Cache\Events\CacheHit (159μs)
Illuminate\Cache\Events\CacheHit (196μs)
Illuminate\Cache\Events\CacheHit (167μs)
Illuminate\Cache\Events\CacheHit (182μs)
Illuminate\Cache\Events\CacheHit (205μs)
Illuminate\Cache\Events\CacheHit (189μs)
Illuminate\Cache\Events\CacheHit (169μs)
creating: site.blocks.subject-homework (6.66ms)
composing: site.blocks.subject-homework (37μs)
eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (188μs)
eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (132μs)
Illuminate\Database\Events\StatementPrepared (1.83ms)
Illuminate\Database\Events\QueryExecuted (1.07ms)
Illuminate\Database\Events\StatementPrepared (777μs)
Illuminate\Database\Events\QueryExecuted (1.21ms)
eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (155μs)
Illuminate\Database\Events\StatementPrepared (688μs)
Illuminate\Database\Events\QueryExecuted (843μs)
eloquent.retrieved: App\Models\Subject (92μs)
Illuminate\Database\Events\StatementPrepared (560μs)
Illuminate\Database\Events\QueryExecuted (671μs)
eloquent.retrieved: App\Models\SubjectCat (80μs)
creating: components.homework-blocks (212μs)
composing: components.homework-blocks (79μs)
creating: site.blocks.reviews (409μs)
composing: site.blocks.reviews (22μs)
creating: site.blocks.submit-homework (169μs)
composing: site.blocks.submit-homework (21μs)
creating: site.blocks.faq (132μs)
composing: site.blocks.faq (18μs)
eloquent.booting: App\Models\Twill\TwillFaq (166μs)
eloquent.booted: App\Models\Twill\TwillFaq (191μs)
eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (230μs)
eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (77μs)
Illuminate\Database\Events\StatementPrepared (8.12ms)
Illuminate\Database\Events\QueryExecuted (1.07ms)
eloquent.retrieved: App\Models\Twill\TwillFaq (172μs)
Illuminate\Database\Events\StatementPrepared (752μs)
Illuminate\Database\Events\QueryExecuted (915μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (108μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (23μs)
creating: components.faq-item (190μs)
composing: components.faq-item (111μs)
Illuminate\Database\Events\StatementPrepared (1.66ms)
Illuminate\Database\Events\QueryExecuted (2.04ms)
eloquent.retrieved: App\Models\Twill\TwillFaq (121μs)
Illuminate\Database\Events\StatementPrepared (749μs)
Illuminate\Database\Events\QueryExecuted (827μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (72μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (20μs)
creating: components.faq-item (84μs)
composing: components.faq-item (48μs)
Illuminate\Database\Events\StatementPrepared (7.04ms)
Illuminate\Database\Events\QueryExecuted (1.02ms)
eloquent.retrieved: App\Models\Twill\TwillFaq (139μs)
Illuminate\Database\Events\StatementPrepared (741μs)
Illuminate\Database\Events\QueryExecuted (758μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (86μs)
creating: components.faq-item (108μs)
composing: components.faq-item (57μs)
Illuminate\Database\Events\StatementPrepared (1.12ms)
Illuminate\Database\Events\QueryExecuted (835μs)
eloquent.retrieved: App\Models\Twill\TwillFaq (107μs)
Illuminate\Database\Events\StatementPrepared (588μs)
Illuminate\Database\Events\QueryExecuted (729μs)
eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (64μs)
creating: components.faq-item (86μs)
composing: components.faq-item (54μs)
creating: site.blocks.text-with-image (299μs)
composing: site.blocks.text-with-image (23μs)
creating: site.blocks.work-with-tutors (186μs)
composing: site.blocks.work-with-tutors (21μs)
creating: site.layouts.app (245μs)
composing: site.layouts.app (21μs)
creating: components.canonical (376μs)
composing: components.canonical (103μs)
creating: components.open-graph (337μs)
composing: components.open-graph (91μs)
creating: site.headers.header (292μs)
composing: site.headers.header (81μs)
Illuminate\Cache\Events\CacheHit (1.69ms)
creating: components.footer (72μs)
composing: components.footer (86μs)
Illuminate\Cache\Events\CacheHit (952μs)
Illuminate\Cache\Events\CacheHit (320μs)
Illuminate\Cache\Events\CacheHit (343μs)
Illuminate\Cache\Events\CacheHit (296μs)
Illuminate\Cache\Events\CacheHit (225μs)
Illuminate\Cache\Events\CacheHit (179μs)
Illuminate\Cache\Events\CacheHit (181μs)
Illuminate\Cache\Events\CacheHit (298μs)
Illuminate\Cache\Events\CacheHit (321μs)
Illuminate\Cache\Events\CacheHit (203μs)
Illuminate\Cache\Events\CacheHit (304μs)
Illuminate\Cache\Events\CacheHit (195μs)
Illuminate\Cache\Events\CacheHit (201μs)
Illuminate\Cache\Events\CacheHit (185μs)
creating: components.forms.contact-us (246μs)
composing: components.forms.contact-us (172μs)
creating: components.forms.get-started (169μs)
composing: components.forms.get-started (77μs)
creating: components.forms.free-tool-download (101μs)
composing: components.forms.free-tool-download (64μs)
creating: components.forms.claim-free-worksheet (97μs)
composing: components.forms.claim-free-worksheet (64μs)
creating: components.forms.tutor-subscription-waitlist (95μs)
composing: components.forms.tutor-subscription-waitlist (62μs)
creating: components.forms.tutor-subscription-join (96μs)
composing: components.forms.tutor-subscription-join (1.83ms)
creating: components.forms.tutor-support (221μs)
composing: components.forms.tutor-support (133μs)

420 x Illuminate\Cache\Events\CacheHit (18.27%)	216ms
34 x Illuminate\Database\Events\StatementPrepared (10.7%)	126ms
34 x Illuminate\Database\Events\QueryExecuted (8.9%)	105ms
11 x Illuminate\Cache\Events\CacheMissed (1.11%)	13.06ms
11 x Illuminate\Cache\Events\KeyWritten (1.08%)	12.80ms
6 x creating: components.tutors-card (0.93%)	10.97ms
1 x creating: site.blocks.subject-homework (0.56%)	6.66ms
1 x Illuminate\Foundation\Events\LocaleUpdated (0.42%)	4.93ms
1 x composing: components.forms.tutor-subscription-join (0.15%)	1.83ms
2 x Illuminate\Database\Events\ConnectionEstablished (0.15%)	1.78ms
1 x Illuminate\Routing\Events\Routing (0.12%)	1.47ms
18 x eloquent.retrieved: App\Models\SubjectCat (0.12%)	1.39ms
24 x eloquent.retrieved: App\Models\Subject (0.08%)	907μs
1 x eloquent.booting: App\Models\User\Tutor (0.05%)	609μs
1 x Illuminate\Routing\Events\RouteMatched (0.05%)	563μs
6 x composing: components.tutors-card (0.05%)	550μs
4 x eloquent.retrieved: App\Models\Twill\TwillFaq (0.05%)	539μs
1 x eloquent.booting: App\Models\Meta (0.04%)	517μs
1 x eloquent.booting: App\Models\User\TutorAttributes\TutorDegree (0.04%)	499μs
4 x creating: components.faq-item (0.04%)	468μs
1 x creating: components.breadcrumbs (0.04%)	419μs
1 x creating: site.blocks.reviews (0.03%)	409μs
1 x creating: site.blocks.how-it-works (0.03%)	390μs
1 x creating: components.canonical (0.03%)	376μs
6 x eloquent.retrieved: App\Models\Twill\Slugs\TwillFaqSlug (0.03%)	373μs
1 x eloquent.booting: App\Models\SubjectCat (0.03%)	369μs
1 x creating: components.open-graph (0.03%)	337μs
1 x creating: site.blocks.text-with-image (0.03%)	299μs
1 x creating: components.tutors-cards (0.02%)	295μs
1 x creating: site.headers.header (0.02%)	292μs
1 x eloquent.booted: App\Models\User\Tutor (0.02%)	290μs
4 x composing: components.faq-item (0.02%)	270μs
1 x eloquent.booting: App\Models\Subject (0.02%)	254μs
1 x creating: components.forms.contact-us (0.02%)	246μs
1 x creating: site.layouts.app (0.02%)	245μs
6 x eloquent.retrieved: App\Models\User\Tutor (0.02%)	243μs
1 x eloquent.booting: App\Models\Twill\Slugs\TwillFaqSlug (0.02%)	230μs
1 x creating: components.forms.tutor-support (0.02%)	221μs
1 x creating: components.homework-blocks (0.02%)	212μs
1 x composing: components.breadcrumbs (0.02%)	198μs
1 x eloquent.booted: App\Models\Twill\TwillFaq (0.02%)	191μs
1 x eloquent.booting: App\Models\HomeworkLibrary\HomeworkLibrary (0.02%)	188μs
1 x creating: site.blocks.work-with-tutors (0.02%)	186μs
1 x composing: components.forms.contact-us (0.01%)	172μs
1 x creating: site.blocks.submit-homework (0.01%)	169μs
1 x creating: components.forms.get-started (0.01%)	169μs
1 x eloquent.booted: App\Models\User\TutorAttributes\TutorDegree (0.01%)	167μs
1 x eloquent.booting: App\Models\Twill\TwillFaq (0.01%)	166μs
1 x composing: subjects.show (0.01%)	164μs
1 x eloquent.retrieved: App\Models\HomeworkLibrary\HomeworkLibrary (0.01%)	155μs
1 x creating: subjects.show (0.01%)	153μs
1 x eloquent.booted: App\Models\SubjectCat (0.01%)	133μs
1 x composing: components.forms.tutor-support (0.01%)	133μs
1 x creating: site.blocks.faq (0.01%)	132μs
1 x eloquent.booted: App\Models\HomeworkLibrary\HomeworkLibrary (0.01%)	132μs
1 x creating: site.blocks.subject-tutors (0.01%)	119μs
1 x composing: components.tutors-cards (0.01%)	108μs
1 x composing: components.canonical (0.01%)	103μs
1 x creating: components.forms.free-tool-download (0.01%)	101μs
1 x creating: components.forms.claim-free-worksheet (0.01%)	97μs
1 x creating: components.forms.tutor-subscription-join (0.01%)	96μs
1 x creating: components.forms.tutor-subscription-waitlist (0.01%)	95μs
1 x composing: components.open-graph (0.01%)	91μs
1 x eloquent.retrieved: App\Models\Meta (0.01%)	87μs
1 x composing: components.footer (0.01%)	86μs
1 x composing: site.headers.header (0.01%)	81μs
1 x composing: components.homework-blocks (0.01%)	79μs
1 x eloquent.booted: App\Models\Twill\Slugs\TwillFaqSlug (0.01%)	77μs
1 x composing: components.forms.get-started (0.01%)	77μs
1 x creating: components.footer (0.01%)	72μs
1 x eloquent.booted: App\Models\Subject (0.01%)	66μs
1 x eloquent.booted: App\Models\Meta (0.01%)	65μs
1 x composing: components.forms.free-tool-download (0.01%)	64μs
1 x composing: components.forms.claim-free-worksheet (0.01%)	64μs
1 x composing: components.forms.tutor-subscription-waitlist (0.01%)	62μs
1 x composing: site.blocks.subject-homework (0%)	37μs
1 x composing: site.blocks.text-with-image (0%)	23μs
1 x composing: site.blocks.reviews (0%)	22μs
1 x composing: site.layouts.app (0%)	21μs
1 x composing: site.blocks.submit-homework (0%)	21μs
1 x composing: site.blocks.work-with-tutors (0%)	21μs
1 x composing: site.blocks.how-it-works (0%)	19μs
1 x composing: site.blocks.faq (0%)	18μs
1 x composing: site.blocks.subject-tutors (0%)	15μs

34 templates were rendered

1x subjects.showshow.blade.phpblade
1x components.breadcrumbsbreadcrumbs.blade.phpblade
1x site.blocks.how-it-workshow-it-works.blade.phpblade
1x site.blocks.subject-tutorssubject-tutors.blade.phpblade
1x components.tutors-cardstutors-cards.blade.phpblade
6x components.tutors-cardtutors-card.blade.phpblade
1x site.blocks.subject-homeworksubject-homework.blade.phpblade
1x components.homework-blockshomework-blocks.blade.phpblade
1x site.blocks.reviewsreviews.blade.phpblade
1x site.blocks.submit-homeworksubmit-homework.blade.phpblade
1x site.blocks.faqfaq.blade.phpblade
4x components.faq-itemfaq-item.blade.phpblade
1x site.blocks.text-with-imagetext-with-image.blade.phpblade
1x site.blocks.work-with-tutorswork-with-tutors.blade.phpblade
1x site.layouts.appapp.blade.phpblade
1x components.canonicalcanonical.blade.phpblade
1x components.open-graphopen-graph.blade.phpblade
1x site.headers.headerheader.blade.phpblade
1x components.footerfooter.blade.phpblade
1x components.forms.contact-uscontact-us.blade.phpblade
1x components.forms.get-startedget-started.blade.phpblade
1x components.forms.free-tool-downloadfree-tool-download.blade.phpblade
1x components.forms.claim-free-worksheetclaim-free-worksheet.blade.phpblade
1x components.forms.tutor-subscription-waitlisttutor-subscription-waitlist.blade.phpblade
1x components.forms.tutor-subscription-jointutor-subscription-join.blade.phpblade
1x components.forms.tutor-supporttutor-support.blade.phpblade

uri: GET subjects/{categoryUri}/{subjectUri?}
middleware: web, utm.parameters
controller: App\Http\Controllers\SubjectController@show
namespace
where
as: subjects.show
file: app/Http/Controllers/SubjectController.php:43-96

34 statements were executed, 2 of which were duplicates, 32 unique. Show only duplicated194ms

Connection Establishedtwenty4_siteSubjectRepository.php#123

Backtrace

13. app/Repositories/SubjectRepository.php:123
14. app/Http/Controllers/SubjectController.php:54
15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260

select * from `subjects` where `urlFriendlyTitle` = 'Radar-and-Antennas' limit 1

20.02mstwenty4_siteSubjectRepository.php#123

Bindings	0: Radar-and-Antennas
Backtrace	15. app/Repositories/SubjectRepository.php:123 16. app/Http/Controllers/SubjectController.php:54 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260

select * from `subject_cats` where `subject_cats`.`id` in (10)

1.02mstwenty4_siteSubjectRepository.php#123

Backtrace

20. app/Repositories/SubjectRepository.php:123
21. app/Http/Controllers/SubjectController.php:54
22. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
23. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
24. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260

select * from `subject_cats` where `subject_cats`.`id` = 10 limit 1

6.7mstwenty4_siteSubject.php#100

Bindings	0: 10
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 28. app/Http/Controllers/SubjectController.php:86

select * from `meta` where `meta`.`id` = 3 limit 1

880μstwenty4_siteMetaService.php#118

Bindings	0: 3
Backtrace	19. app/Services/MetaService.php:118 20. app/Services/MetaService.php:108 21. app/Services/MetaService.php:81 22. app/Http/Controllers/SubjectController.php:89 23. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54

Connection Establishedtwenty4_siteTutorRepository.php#40

Backtrace

13. app/Repositories/TutorRepository.php:40
14. app/View/Components/TutorsCards.php:28
15. app/View/Components/TutorsCards.php:22
17. vendor/laravel/framework/src/Illuminate/Container/Container.php:929
18. vendor/laravel/framework/src/Illuminate/Container/Container.php:770

select count(*) as aggregate from `users` where (`subjectsQualified` like '%|334|%' or `DSF_subjectsQualified` like '%|334|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor'

22.77mstwenty4_siteTutorsCards.php#35

Bindings	0: %\|334\|% 1: %\|334\|% 2: 1 3: 0 4: 5: 1 6: 0 7: 0 8: 9: tutor
Backtrace	15. app/View/Components/TutorsCards.php:35 16. app/View/Components/TutorsCards.php:22 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:929 19. vendor/laravel/framework/src/Illuminate/Container/Container.php:770 20. vendor/laravel/framework/src/Illuminate/Foundation/Application.php:933

select * from `users` where (`subjectsQualified` like '%|334|%' or `DSF_subjectsQualified` like '%|334|%' or `allsubjects` = 1) and `disable_profile` = 0 and `picture` != '' and `solutionrequestQualified` = 1 and `is_suspended` = 0 and `is_deactivated` = 0 and `status` != '' and `status` = 'tutor' order by `completed_requests` desc limit 6 offset 0

11.14mstwenty4_siteTutorsCards.php#35

Bindings	0: %\|334\|% 1: %\|334\|% 2: 1 3: 0 4: 5: 1 6: 0 7: 0 8: 9: tutor
Backtrace	15. app/View/Components/TutorsCards.php:35 16. app/View/Components/TutorsCards.php:22 18. vendor/laravel/framework/src/Illuminate/Container/Container.php:929 19. vendor/laravel/framework/src/Illuminate/Container/Container.php:770 20. vendor/laravel/framework/src/Illuminate/Foundation/Application.php:933

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 81676 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

940μstwenty4_siteTutor.php#361

Bindings	0: 81676
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `subject_cats` where `subject_cats`.`id` = 1 limit 1

9.13mstwenty4_siteSubject.php#100

Bindings	0: 1
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 3 limit 1

9.01mstwenty4_siteSubject.php#100

Bindings	0: 3
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 34 limit 1

3.6mstwenty4_siteSubject.php#100

Bindings	0: 34
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 76592 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

8.83mstwenty4_siteTutor.php#361

Bindings	0: 76592
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 70780 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

5.96mstwenty4_siteTutor.php#361

Bindings	0: 70780
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `subject_cats` where `subject_cats`.`id` = 26 limit 1

4.83mstwenty4_siteSubject.php#100

Bindings	0: 26
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 82333 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

8.91mstwenty4_siteTutor.php#361

Bindings	0: 82333
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select `subjects`.*, `subject_cats`.`title` as `category_title`, `subject_cats`.`id` as `category_id` from `subjects` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `subjects`.`id` in (50, 355, 52, 334, 477, 293, 26, 211, 212, 240, 241, 48, 325)

2.42mstwenty4_siteTutor.php#214

Bindings	0: 50 1: 355 2: 52 3: 334 4: 477 5: 293 6: 26 7: 211 8: 212 9: 240 10: 241 11: 48 12: 325
Backtrace	14. app/Models/User/Tutor.php:214 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 18. app/Models/User/Tutor.php:216 24. app/Models/User/Tutor.php:267

select * from `subject_cats` where `subject_cats`.`id` in (1, 3, 5, 10, 31, 34)

1.53mstwenty4_siteTutor.php#214

Backtrace

19. app/Models/User/Tutor.php:214
20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
23. app/Models/User/Tutor.php:216
29. app/Models/User/Tutor.php:267

select * from `subject_cats` where `subject_cats`.`id` = 5 limit 1

9.64mstwenty4_siteSubject.php#100

Bindings	0: 5
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `subject_cats` where `subject_cats`.`id` = 31 limit 1

10.45mstwenty4_siteSubject.php#100

Bindings	0: 31
Backtrace	18. app/Models/Subject.php:100 19. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 20. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 22. app/Models/Subject.php:101 34. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 86317 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

9.11mstwenty4_siteTutor.php#361

Bindings	0: 86317
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select * from `tutor_degrees` where `tutor_degrees`.`tutor_id` = 144925 and `tutor_degrees`.`tutor_id` is not null order by `year` desc limit 1

11.81mstwenty4_siteTutor.php#361

Bindings	0: 144925
Backtrace	18. app/Models/User/Tutor.php:361 19. view::components.tutors-card:11 21. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 22. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 23. vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69

select `subjects`.*, `subject_cats`.`title` as `category_title`, `subject_cats`.`id` as `category_id` from `subjects` inner join `subject_cats` on `subject_cats`.`id` = `subjects`.`catID` where `subjects`.`id` in (394, 259, 52, 395, 334, 135, 257, 396, 48)

8.09mstwenty4_siteTutor.php#214

Bindings	0: 394 1: 259 2: 52 3: 395 4: 334 5: 135 6: 257 7: 396 8: 48
Backtrace	14. app/Models/User/Tutor.php:214 15. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397 16. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419 18. app/Models/User/Tutor.php:216 24. app/Models/User/Tutor.php:267

select * from `subject_cats` where `subject_cats`.`id` in (1, 3, 10)

1.32mstwenty4_siteTutor.php#214

Backtrace

19. app/Models/User/Tutor.php:214
20. vendor/laravel/framework/src/Illuminate/Cache/Repository.php:397
21. vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:419
23. app/Models/User/Tutor.php:216
29. app/Models/User/Tutor.php:267

select count(*) as aggregate from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 334 and `status` = 'published' and `price` > 0

1.82mstwenty4_siteHomeworkBlocks.php#27

Bindings	0: 334 1: published 2: 0
Backtrace	15. app/View/Components/HomeworkBlocks.php:27 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.subject-homework:4 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `solutionslibrary` where exists (select * from `subjects` where `solutionslibrary`.`subject` = `subjects`.`id`) and `subject` = 334 and `status` = 'published' and `price` > 0 order by `purchase_count` desc limit 6 offset 0

1.35mstwenty4_siteHomeworkBlocks.php#27

Bindings	0: 334 1: published 2: 0
Backtrace	15. app/View/Components/HomeworkBlocks.php:27 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.subject-homework:4 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `subjects` where `subjects`.`id` in (334)

950μstwenty4_siteHomeworkBlocks.php#27

Backtrace

20. app/View/Components/HomeworkBlocks.php:27
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.subject-homework:4
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `subject_cats` where `subject_cats`.`id` in (10)

840μstwenty4_siteHomeworkBlocks.php#27

Backtrace

25. app/View/Components/HomeworkBlocks.php:27
26. vendor/laravel/framework/src/Illuminate/View/Component.php:102
27. view::site.blocks.subject-homework:4
29. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
30. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-homework-in-less-than-24-hours' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

8.2mstwenty4_siteFaqItem.php#15

Bindings	0: can-you-help-me-with-my-homework-in-less-than-24-hours 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:7 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (1) and `twill_faq_slugs`.`deleted_at` is null

880μstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:7
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'can-you-help-me-with-my-examquiztest' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

2.02mstwenty4_siteFaqItem.php#15

Bindings	0: can-you-help-me-with-my-examquiztest 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:24 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (2) and `twill_faq_slugs`.`deleted_at` is null

900μstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:24
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'how-much-will-it-cost' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

6.96mstwenty4_siteFaqItem.php#15

Bindings	0: how-much-will-it-cost 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:41 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (3) and `twill_faq_slugs`.`deleted_at` is null

860μstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:41
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faqs` where exists (select * from `twill_faq_slugs` where `twill_faqs`.`id` = `twill_faq_slugs`.`twill_faq_id` and `slug` = 'what-kind-of-payments-do-you-accept' and `active` = 1 and `locale` = 'en' and `twill_faq_slugs`.`deleted_at` is null) and `twill_faqs`.`deleted_at` is null limit 1

850μstwenty4_siteFaqItem.php#15

Bindings	0: what-kind-of-payments-do-you-accept 1: 1 2: en
Backtrace	15. app/View/Components/FaqItem.php:15 16. vendor/laravel/framework/src/Illuminate/View/Component.php:102 17. view::site.blocks.faq:58 19. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110 20. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

select * from `twill_faq_slugs` where `twill_faq_slugs`.`twill_faq_id` in (4) and `twill_faq_slugs`.`deleted_at` is null

730μstwenty4_siteFaqItem.php#15

Backtrace

20. app/View/Components/FaqItem.php:15
21. vendor/laravel/framework/src/Illuminate/View/Component.php:102
22. view::site.blocks.faq:58
24. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:110
25. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58

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